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All questions of EPFO Assistant Mains for Bank Exams Exam

Directions Seven persons P, Q, R, S, T, U and V were standing in a row facing the north.
  • Q was to the immediate right of T and was 2nd to the left of S
  • Q and R were seated at a gap of 2
  • R was neighbouring U
  • S was not standing neighbouring P and P was not at either of the extreme ends.
  • P travelled for 30m towards the South and stopped at point X such that the shortest distance between him and U became 34m and also the shortest distance between him and V became 50m
Q. Who among the following was exactly in the middle of the row?
  • a)
    P
  • b)
    Q
  • c)
    T
  • d)
    S
  • e)
    R
Correct answer is option 'C'. Can you explain this answer?

Maya Kaur answered
To solve this question, let's analyze the given information step by step:

1. P, Q, R, S, T, U, and V are standing in a row facing the north.

2. Q is to the immediate right of T and is 2nd to the left of S.

3. Q and R are seated at a gap of 2.

4. R is neighboring U.

5. S is not standing neighboring P, and P is not at either of the extreme ends.

6. P traveled 30m towards the South and stopped at point X.

7. The shortest distance between P and U became 34m.

8. The shortest distance between P and V became 50m.

Now, let's solve the question step by step:

Step 1: Identify the positions of Q and R.

From point 2, we know that Q is to the immediate right of T and 2nd to the left of S. This means the order is TQS. Therefore, Q is in the middle.

From point 3, we know that Q and R are seated at a gap of 2. As Q is in the middle, the order becomes RQTS.

Step 2: Identify the positions of U and R.

From point 4, we know that R is neighboring U. As R is to the left of Q, the order becomes URQTS.

Step 3: Identify the positions of S and P.

From point 5, we know that S is not standing neighboring P. As S is to the left of Q, the order becomes USRQTP.

Step 4: Identify the positions of P, U, and V after P travels 30m towards the South and stops at point X.

From point 6, P travels 30m towards the South and stops at point X. The shortest distance between P and U becomes 34m, and the shortest distance between P and V becomes 50m.

We can draw a diagram to represent the new positions:

V
|
|
|
50m |
P ----- X -----
34m |
|
|
U

From the diagram, we can see that P is in the middle of the row.

Therefore, the answer is option C) P.

Given below are two quantities named A and B. Based on the information, you have to determine the relation between two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.
Quantity A: 4x2 – 29x + 45 = 0
Quantity B: 3y2 – 19y + 28 = 0 
  • a)
    Quantity A > Quantity B
  • b)
    Quantity A < Quantity B
  • c)
    Quantity A ≥ Quantity B
  • d)
    Quantity A ≤ Quantity B
  • e)
    Quantity A = Quantity B or Relationship can’t be established
Correct answer is option 'E'. Can you explain this answer?

Kiran Reddy answered
In quantity A
⇒ 4x2 – 29x + 45 = 0
⇒ 4x2 – 20x – 9x + 45 = 0
⇒ 4x (x – 5) -9 (x – 5) = 0
⇒ (4x – 9) (x – 5) = 0
⇒ X = 9/4, 5
In quantity B
⇒ 3y2 – 19y + 28 = 0
⇒ 3y2 – 12y – 7y + 28 = 0
⇒ 3y (y – 4) -7 (y – 4) = 0
⇒ (3y – 7) (y – 4) = 0
⇒ y = 7/3, 4
⇒ when x = 9/4, y = 7/3 then x < y
⇒ when x = 9/4, y = 4 then x < y
⇒ when x = 5, y = 7/3 then x > y
⇒ when x = 5, y = 4 then x > y
∴ Relation cannot be established

In an election Samiksha got 45 votes less than Meenakshi. Meenakshi got 65 votes more than Meera. Sudhanshu got 1740 votes which is 35 votes more than Meera. Radhika got votes which are 6940 less than total votes casted in election. Calculate the approximate percent of votes Radhika got in the election if she got 75 votes more than Samiksha?
  • a)
    20.48%
  • b)
    21.69%
  • c)
    24.42%
  • d)
    26.48%
  • e)
    21.24%
Correct answer is option 'A'. Can you explain this answer?

Shivam Mehta answered
Explanation:

Given Data:
- Samiksha's votes = Meenakshi's votes - 45
- Meenakshi's votes = Meera's votes + 65
- Sudhanshu's votes = 1740 = Meera's votes + 35
- Radhika's votes = Total votes - 6940
- Radhika's votes = Samiksha's votes + 75

Calculating Meera's Votes:
Meera's votes = Sudhanshu's votes - 35 = 1740 - 35 = 1705

Calculating Meenakshi's Votes:
Meenakshi's votes = Meera's votes + 65 = 1705 + 65 = 1770

Calculating Samiksha's Votes:
Samiksha's votes = Meenakshi's votes - 45 = 1770 - 45 = 1725

Calculating Radhika's Votes:
Radhika's votes = Samiksha's votes + 75 = 1725 + 75 = 1800

Calculating Total Votes Casted:
Total votes casted = Radhika's votes + 6940 = 1800 + 6940 = 8740

Calculating Radhika's Percentage of Votes:
Radhika's percentage of votes = (Radhika's votes / Total votes casted) * 100
= (1800 / 8740) * 100
≈ 20.48%
Therefore, the approximate percentage of votes Radhika got in the election is 20.48%, which corresponds to option A.

Directions [Set of 5 questions]: Twelve persons A, B, C, D, E, F, G, H, I, J, K and L were seated in two rows such that five of them were in row 1 and the rest were seated in row 2. The 2 rows started at an equal gap from the western side wall, thus, the five seats in row 1 were exactly in line with the first five seats of row 2. They were seated facing the North.
F was seated 3rd from one of the corners. I was to the immediate right of F. A was seated 3rd to the right of J who was seated exactly behind B. B was to the immediate right of either K or H. C was 2nd to the left of G. Number of persons seated to the left of L was same as the number of persons to the right of B and they were seated in different rows. The person seated exactly behind D was 2nd to the left of E. Number of persons seated to the left of J was equal to the number of persons to the right of H.
Q. Who was seated exactly in front of L?
  • a)
    K
  • b)
    H
  • c)
    I
  • d)
    D
  • e)
    Nobody
Correct answer is option 'C'. Can you explain this answer?

Anjana Singh answered
  • A was seated 3rd to the right of J who was seated exactly behind B
  • B was to the immediate right of either K or
  • F was seated 3rd from one of the corners
  • I was to the immediate right of F, thus, case 2 becomes invalid.
  • C was 2nd to the left of G
  • Number of persons seated to the left of L was same as the number of persons to the right of B and they were seated in different rows.
  • Case 3a is invalid as L cannot be placed in it
  • The person seated exactly behind D was 2nd to the left of E. Thus, case 1 is invalid.
  • Number of persons seated to the left of J was equal to the number of persons to the right of H.
I was seated exactly in front of L.

Select the phrase(s) from the given three options which can be used to form a single sentence from the two sentences given below, implying the same meaning as expressed in the statement sentences. The given options may or may not be starters.
The restaurant, which serves a five-course set dinner that changes each month, is currently booked until October. If you do score a reservation, you can look forward to ingredients freshly grown, foraged or sourced from local independent farmers.
I. But if you do _____________.
II. However, if you do manage to ____________.
III. On the contrary, if you ____________.
  • a)
    Only I
  • b)
    Only II
  • c)
    Only III
  • d)
    Both I & II
  • e)
    All of the above
Correct answer is option 'D'. Can you explain this answer?

Both (I) & (II) can be used to join the two statements but "on the contrary" will not be correct. A very minute difference is that "on the contrary" although, having the same meaning as that of "but" and "however" is used in completely and stark opposite contexts. While "but" and "however" can be used to show two differing aspects of the same underlying theme.
(I) - The restaurant, which serves a five-course set dinner that changes each month, is currently booked until October, but if you do score a reservation, you can look forward to ingredients freshly grown, foraged or sourced from local independent farmers.
(II) - The restaurant, which serves a five-course set dinner that changes each month, is currently booked until October, however, if you do manage to score a reservation, you can look forward to ingredients freshly grown, foraged or sourced from local independent farmers.
Hence, D will be the correct answer.

15 years ago the average age of a family of four members was 40 years. Two children were born in that span of 15 years. The present average age of the family remained unchanged. Among the two children who were born in between the 15 years, if the older child at present is 8 years more than the younger one, what is the respective ratio between the present age of the older child and the present age of the younger child?
  • a)
    9 : 4
  • b)
    7 : 3
  • c)
    7 : 6
  • d)
    7 : 4
  • e)
    9 : 5
Correct answer is option 'B'. Can you explain this answer?

Anjana Singh answered
Total age 15 years ago = 40 × 4 = 160
After 15 years total age of 4 members = 160 + (15 × 4) = 160 + 60 = 220
Total age of 6 members = 40 × 6 = 240
Let the age of younger child be x, then age of older child = x + 8
⇒ x + x + 8 = 240 – 220 = 20
⇒ x = 6
Present age of younger child = 6
Present age of older child = 6 + 8 = 14
∴ Required ratio = 14 : 6 = 7 : 3

Each of the questions below consists of a question and two or three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:
Seven friends Deep, Vidya, Shyam, Ajay, Raj, Hari and Jay are having different height then, who is just taller than Hari?
I. Deep is taller than Hari & Shyam but not as much as Raj & Jay. Vidya is taller than Ajay & Shyam but not as much as Deep & Raj. Raj is the tallest and Ajay is only taller than Shyam.
II. Vidya is taller than Hari & Shyam but not as much as Jay & Deep. Deep is taller than Ajay & Shyam but not as much as Raj & Jay. Jay is only shorter than Raj and Ajay is only taller than Shyam.
  • a)
    If the data in Statement I alone is sufficient to answer the question, while the data in Statement II alone is not sufficient to answer the question.
  • b)
    If the data in both the Statements I and II together are necessary to answer the question.
  • c)
    If the data either in Statement I alone or in Statement II alone is sufficient to answer the question.
  • d)
    If the data in both the Statements I and II together are not sufficient to answer the question.
  • e)
    If the data in Statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question.
Correct answer is option 'E'. Can you explain this answer?

Understanding the Problem
To determine who is just taller than Hari among seven friends based on the given statements, we need to analyze the height comparisons provided in Statement I and Statement II.

Analysis of Statement I
- **Deep** is taller than **Hari** and **Shyam** but shorter than **Raj** and **Jay**.
- **Vidya** is taller than **Ajay** and **Shyam**, but shorter than **Deep** and **Raj**.
- **Raj** is the tallest, and **Ajay** is only taller than **Shyam**.
From this, we can deduce:
- The order of heights is: Raj > Jay > Deep > Vidya > Ajay > Hari > Shyam.
- The friend who is just taller than Hari is **Ajay**.

Analysis of Statement II
- **Vidya** is taller than **Hari** and **Shyam**, but shorter than **Jay** and **Deep**.
- **Deep** is taller than **Ajay** and **Shyam**, but shorter than **Raj** and **Jay**.
- **Jay** is shorter than **Raj**, and **Ajay** is only taller than **Shyam**.
From this, we deduce:
- The order of heights cannot be precisely determined to find who is just taller than Hari since **Vidya**'s height relative to **Ajay** is uncertain.
- The sequence is ambiguous, leaving multiple possibilities for who could be just taller than Hari.

Conclusion
- **Statement I** alone is sufficient to determine that **Ajay** is the one just taller than **Hari**.
- **Statement II** does not provide enough information to ascertain who is just taller than Hari.
Thus, the correct answer is option **E**: "If the data in Statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question."

Directions [Set of 4 questions]: A small rectangular slab is kept above a large rectangular slab such that their centres coincide with each other. Twelve points are marked on the edges of the slabs, six on each slab, such that, the longer sides of both the slabs have two points each, and the shorter side has one point each. Each point of one slab is in same line of sight on other slab. Also, point marked in between two points is to be considered in the same line of sight. (to the right of any point - anticlockwise, to the left of any point - clockwise)
  • V is marked to immediate left of R.
  • T is marked in between V and P, which is marked second to right of X.
  • O and Q are marked on the longer side of same slab.
  • T and X, are marked on the same slab.
  • Y is not marked at any point immediately left/right of X.
  • U and S are maximum possible distance apart.
  • O is not marked in front of either Z or W.
  • Z is not marked in front of R.
Q. Find the odd pair out of the following.
  • a)
    Q, O
  • b)
    T, W
  • c)
    T, Y
  • d)
    X, Z
  • e)
    V, R
Correct answer is option 'C'. Can you explain this answer?

Arpita Datta answered
Understanding the Problem
To find the odd pair among the given options, we need to analyze the positions of the points marked on the slabs based on the provided clues.
Key Clues Analyzed
- Positions of Points:
- V is left of R.
- T is between V and P, with P being second to the right of X.
- O and Q are on the same longer side of a slab.
- T and X are on the same slab.
- Y is not adjacent to X.
- U and S are as far apart as possible.
- O is not in front of Z or W.
- Z is not in front of R.
Identifying the Pairs
- Option A: Q, O
- Both are on the longer side of the same slab.
- Option B: T, W
- T is on one slab, W is not specified to be on the same slab.
- Option C: T, Y
- T is on one slab, Y is not adjacent to X, which could mean it is on the other slab.
- Option D: X, Z
- X is on one slab, Z is specified as not being in front of R but does not specify a slab.
- Option E: V, R
- V is left of R, indicating they are on the same slab.
Conclusion: Odd Pair Identified
The odd pair is Option C: T, Y because:
- T is confirmed to be on one slab.
- Y's position is ambiguous as it is not adjacent to X and its placement is not clearly defined within the context of the other points.
Thus, T and Y do not share the same slab, making them an odd pair compared to the others.

Directions [Set of 4 questions]: Eight persons A, B, D, E, F, G, K and L were seated around a circular table facing the centre. There were 'n' number of chairs around the table of which few were vacant, and the rest were taken by these 8 persons
  • A was on a chair that was 4th to the left of D who was on a chair that was 2nd to the left of K
  • G was on a chair that was 2nd to the right of L and was seated at a gap of 1 seat from A
  • There were only 2 seats between L and E when counted from the right of E
  • B was on a chair that was 3rd to the right of F, who was seated at a gap of 1 seat from K
  • There were 8 seats between A and F when counted from the left of A
Q. How many persons were seated between K and L when counted from the right of K?
  • a)
    One
  • b)
    Two
  • c)
    Three
  • d)
    Four
  • e)
    More than four
Correct answer is option 'C'. Can you explain this answer?

Anjana Singh answered
  • A was on a chair that was 4th to the left of D who was on a chair that was 2nd to the left of K
  • B was on a chair that was 3rd to the right of F who was seated at a gap of 1 seat from K
  • There were 8 seats between A and F when counted from the left of A, thus, 5 chairs between B and A
  • G was on a chair that was 2nd to the right of L and was seated at a gap of 1 from A

    1st case is invalid as G is not 2nd to the right of L
  • There were only 2 seats between L and E when counted from the right of E
    Thus, the final arrangement is as follows:
3 persons were seated between K and L

Directions [Set of 5 questions]: Eight persons A, B, C, D, E, F, G and H were born in the years 1951, 1954, 1963, 1969, 1972, 1980, 1986 and 2002 not necessarily in the same order. They were born on the same date i.e. on 1st January of these years. Make all the age calculations as on 1st January 2018.
  • G's age was found to be a perfect square
  • G and F were born at a gap of 2 persons
  • B was aged twice as that of E
  • D was born at a gap of 1 from E
  • A was elder to H who was elder to C
  • At least one person was born between A and G
Q. Who among the following was the eldest?
  • a)
    F
  • b)
    B
  • c)
    A
  • d)
    G
  • e)
    Cannot be determined
Correct answer is option 'A'. Can you explain this answer?

Vinod Mehta answered
The age of these persons as on 1st January 2018 will be
  • G's age was found to be a perfect square; hence he was either 49 years old or 16 years old.
  • G and F were born at a gap of 2 persons
  • B was aged twice as that of E. Possible cases will be (64, 32)or (32, 16). Thus, case 2 becomes invalid.
  • D was born at a gap of 1 from E

Case 3 is invalid as D cannot be placed in that arrangement
  • A was elder to H who was elder to C
  • At least one person was born between A and G, thus, case 1 becomes invalid.
Thus, the final case is as follows:

F was the eldest person

Below, a statement(s) has been divided into 5 parts. The one in the underline is the fixed part in which no changes can be made. Among the other parts find the erroneous part(s). If the statement has no error, mark the 5th option (No Error).
His written submission (A)/ differs in many respects (B)/ from his (C)/ verbal statements (D)/ which is bad. /(E)
  • a)
    A
  • b)
    B
  • c)
    C
  • d)
    D
  • e)
    E
Correct answer is option 'D'. Can you explain this answer?

Tanishq Shah answered
Explanation:

The error in the given statement is in part (D): "which is bad."

Explanation:

The error in the given statement is in part (D): "which is bad."

The correct form of the sentence would be: "verbal statements, which is bad."

In this case, the error lies in the use of the pronoun "which" to refer to "verbal statements." The pronoun "which" is used to refer to inanimate objects, while the correct pronoun to use in this case is "that" which is used to refer to people or things.

So, the correct sentence should be: "verbal statements, that is bad."

The corrected sentence would be: "His written submission differs in many respects from his verbal statements, that is bad."

Therefore, the error is in part (D) and the correct answer is option D.

Below a word is given followed by three sentences which consist of that word. Identify the sentence/s which best expresses the meaning of the word. Choose option 5 ( None of these) if the word is not suitable in any of the sentences
SOUND
A. The doctor certified he was of sound mind.
B. Education helps give us a sound foundation.
C. The mother gave her naughty child a sound spanking.
  • a)
    Both A and B
  • b)
    Both A and C
  • c)
    All of the above
  • d)
    Only C
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Vinod Mehta answered
All of the above are correct.
Here sound is used as an adjective describing a condition.
In A the doctor certifies the condition of the mind, implying that it is free from injury or disease. 
In B, education helps create a good foundation, implying that it is stable.
In C the sentence describes the mother’s action of correcting the child, implying that it was thorough.
In all three sentences, the word ‘sound’ is used correctly as an adjective.

Directions [Set of 4 questions]: Eight persons A, B, D, E, F, G, K and L were seated around a circular table facing the centre. There were 'n' number of chairs around the table of which few were vacant, and the rest were taken by these 8 persons
  • A was on a chair that was 4th to the left of D who was on a chair that was 2nd to the left of K
  • G was on a chair that was 2nd to the right of L and was seated at a gap of 1 seat from A
  • There were only 2 seats between L and E when counted from the right of E
  • B was on a chair that was 3rd to the right of F, who was seated at a gap of 1 seat from K
  • There were 8 seats between A and F when counted from the left of A
Q. __________ and __________ were neighbouring each other
  • a)
    L, K
  • b)
    B, K
  • c)
    B, E
  • d)
    E, D
  • e)
    D, G
Correct answer is option 'C'. Can you explain this answer?

Tanishq Shah answered
Given information:
- A is 4th to the left of D who is 2nd to the left of K.
- G is 2nd to the right of L and seated at a gap of 1 seat from A.
- There are 2 seats between L and E when counted from the right of E.
- B is 3rd to the right of F who is seated at a gap of 1 seat from K.
- There are 8 seats between A and F when counted from the left of A.

To solve this question, we need to analyze the given information and determine the seating arrangement of the 8 persons around the circular table.

Analyze the given information:
- A is 4th to the left of D who is 2nd to the left of K. This implies that D and K are adjacent to each other and A is seated 4 seats to the left of D.
- G is 2nd to the right of L and seated at a gap of 1 seat from A. This implies that G and L are adjacent to each other and G is seated 1 seat to the right of L.
- There are 2 seats between L and E when counted from the right of E. This implies that L and E are adjacent to each other and there are 2 seats between them when counted from the right of E.
- B is 3rd to the right of F who is seated at a gap of 1 seat from K. This implies that B is seated 3 seats to the right of F and F is seated 1 seat to the right of K.
- There are 8 seats between A and F when counted from the left of A. This implies that A and F are adjacent to each other and there are 8 seats between them when counted from the left of A.

Seating arrangement:
Based on the given information and analysis, we can determine the seating arrangement as follows:

- A - 4th to the left of D and 8 seats to the right of F (adjacent to F)
- F - 8 seats to the left of A (adjacent to A) and 1 seat to the right of K
- K - 2 seats to the left of D (adjacent to D) and 1 seat to the left of F
- D - 2 seats to the right of K (adjacent to K) and 4 seats to the right of A
- G - 2nd to the right of L (adjacent to L) and 1 seat to the right of A
- L - 2nd to the left of G (adjacent to G) and 2 seats to the right of E
- E - 2 seats to the left of L (adjacent to L) and 2 seats to the left of G
- B - 3 seats to the right of F (adjacent to F)

Neighboring seats:
Based on the seating arrangement, the neighboring seats are B and E. Therefore, the correct answer is option C: B, E.

Directions: Study the following information carefully to answer the given questions.
8 people A, B, C, D, E, F, G, H sit around a circular table, some facing inward, some outward. Each like one of the movies Redline, Zero, Meego, Hero, OK, Schindler’s list, Karma, Green Mile. Further information is given.
C sits to the immediate left of B and faces inwards. H faces outward and likes Green Mile. E sits adjacent to F and likes OK. D likes Zero, faces inwards and sits opposite to person who likes OK. Person to 2nd right of F likes Schindler’s List. Person opposite to Hero liker likes Karma. The person to the left of D likes Hero. F, facing inwards and A, facing outwards sit adjacent to H. B, facing outwards, sits opposite to H and likes Meego.
Q. Who sits to the right of E?
  • a)
    A
  • b)
    B
  • c)
    C
  • d)
    F
  • e)
    Can’t be detemined
Correct answer is option 'E'. Can you explain this answer?

Shraddha Mehta answered
's List and Indiana Jones, but not necessarily in the same order.

1. A sits third to the left of the one who likes Indiana Jones. Only one person sits between A and the one who likes Indiana Jones.
2. D sits to the immediate right of the one who likes Indiana Jones.
3. C sits second to the right of the one who likes Hero. C does not sit adjacent to A.
4. The one who likes Redline sits to the immediate right of G.
5. Only one person sits between G and H. Both G and H face the same direction.
6. F sits to the immediate right of E. E likes Zero.
7. The one who likes Meego sits second to the left of B. B does not like Indiana Jones.

Question 1: Who likes Indiana Jones?
a) A
b) B
c) C
d) D
e) E

Question 2: Who sits second to the right of the one who likes Hero?
a) A
b) B
c) C
d) D
e) E

Question 3: Who sits third to the left of the one who likes Meego?
a) A
b) B
c) C
d) D
e) E

Question 4: Which movie does G like?
a) Redline
b) Zero
c) Meego
d) Hero
e) OK

Question 5: Which movie does F like?
a) Redline
b) Zero
c) Meego
d) Hero
e) OK

In the given sentences, a blank is given indicating that something is missing. From the given four options a combination of words would fit the blank thereby making it grammatically and contextually correct.
According to the Innovation Lab - a multi-disciplinary team within the Public Service Division that designs public policies and services from the __________ of citizens and stakeholders - the future is digital.
A. Viewpoint
B. Reference
C. Perspective
D. Stance
  • a)
    AB
  • b)
    BC
  • c)
    CD
  • d)
    AD
  • e)
    All of the above
Correct answer is option 'E'. Can you explain this answer?

Jyoti Sarkar answered
Explanation:

The correct combination of words that would fit the blank and make the sentence grammatically and contextually correct is option 'E' - All of the above. Let's analyze each option and understand why it is correct or incorrect:

A. Viewpoint:
A viewpoint refers to an individual's perspective or opinion on a particular subject. While it could be relevant in the context of designing public policies and services, it does not specifically indicate the involvement of citizens and stakeholders.

B. Reference:
A reference is a source of information or a point of comparison. While it could be relevant in the context of designing public policies and services, it does not specifically indicate the involvement of citizens and stakeholders.

C. Perspective:
A perspective refers to a particular way of viewing or understanding a situation or issue. In the given context, designing public policies and services from the perspective of citizens and stakeholders aligns with the purpose of the Innovation Lab.

D. Stance:
A stance refers to a particular position or standpoint on a subject. While it could be relevant in the context of designing public policies and services, it does not specifically indicate the involvement of citizens and stakeholders.

All of the above:
The phrase "from the ________ of citizens and stakeholders" suggests that the Innovation Lab takes into account multiple viewpoints, references, perspectives, and stances in designing public policies and services. Therefore, the correct combination of words to fill the blank is "All of the above", indicating that the Innovation Lab considers a range of inputs and perspectives in their work.

In conclusion, option 'E' - All of the above is the correct answer as it encompasses the idea of considering multiple viewpoints, references, perspectives, and stances in designing public policies and services.

Directions [Set of 5 questions]: Eight persons A, B, C, D, E, F, G and H were born in the years 1951, 1954, 1963, 1969, 1972, 1980, 1986 and 2002 not necessarily in the same order. They were born on the same date i.e. on 1st January of these years. Make all the age calculations as on 1st January 2018.
  • G's age was found to be a perfect square
  • G and F were born at a gap of 2 persons
  • B was aged twice as that of E
  • D was born at a gap of 1 from E
  • A was elder to H who was elder to C
  • At least one person was born between A and G
Q. Who among the following was born in 1986?
  • a)
    C
  • b)
    E
  • c)
    H
  • d)
    B
  • e)
    Cannot be determined
Correct answer is option 'D'. Can you explain this answer?

Avi Shah answered


Analysis:

- Given that G's age is a perfect square, we can deduce that G was born in 1969 (since the square root of 1969 is 44).
- From the information that G and F were born at a gap of 2 persons, we can determine that F was born in 1963.
- B's age is twice that of E's, so B must have been born in 1980 and E in 1972.
- A is elder to H, who is elder to C. This implies that A must have been born in 1951, H in 1954, and C in 1986.

Solution:

- A was born in 1951
- B was born in 1980
- C was born in 1986
- D was born in 1972
- E was born in 1954
- F was born in 1963
- G was born in 1969
- H was born in 1954

Therefore, the person born in 1986 is C.

Select the most appropriate option, out of the five options given, for each of the following sentences, which in your view, should be grammatically and structurally correct.
  • a)
    Neither my neighbour or her children are coming for dinner.
  • b)
    Either my neighbour and her children is coming for dinner.
  • c)
    Either my neighbour or her children is coming for dinner.
  • d)
    Either my neighbour or her children are coming for dinner.
  • e)
    Neither my neighbour nor her children is coming for dinner.
Correct answer is option 'D'. Can you explain this answer?

Anjana Singh answered
The correct answer is option 4.
When using either-or / neither-nor the verb should agree with the second subject.
Since “children” are plural, the verb should be “are”.
Option 1 is incorrect as it uses 'or'.
Option 2 is incorrect as it uses 'and' and 'is'.
Option 3 and 5 are incorrect as they use 'is'.
The rest of the sentences are eliminated as they are grammatically incorrect.

Direction: In the following question, a given question is followed by information in three statements. You have to find out the data in which statement(s) is sufficient to answer the question and mark your answer accordingly.
Eight members A, B, C, D, E, F, G and H are sitting around a circular table facing outward. Who sits third to the right of G?
I. A is to the immediate right of E, who is third to the right of B.
II. G is fourth to the right of H, who is third to the left of A.
III. H is not an immediate neighbor of G.
  • a)
    All the statements are required.
  • b)
    Only I is sufficient
  • c)
    Only II is sufficient.
  • d)
    Both I and II together are sufficient.
  • e)
    Question cannot be answered even with the information in all three statements.
Correct answer is option 'D'. Can you explain this answer?

Understanding the Question:
The question asks us to find out who sits third to the right of G in a circular table arrangement. We are given information about the positions of eight members - A, B, C, D, E, F, G, and H - around the table, facing outward.

Statements:
I. A is to the immediate right of E, who is third to the right of B.
II. G is fourth to the right of H, who is third to the left of A.
III. H is not an immediate neighbor of G.

Analyzing the Statements:
Let's analyze each statement and see if it provides enough information to determine who sits third to the right of G.

I. A is to the immediate right of E, who is third to the right of B.
This statement provides information about the relative positions of A, E, and B. It tells us that A is to the immediate right of E, and E is third to the right of B. However, it does not provide any direct information about the position of G or who sits third to the right of G.

II. G is fourth to the right of H, who is third to the left of A.
This statement provides information about the relative positions of G, H, and A. It tells us that G is fourth to the right of H, and H is third to the left of A. However, it does not provide any direct information about the position of G or who sits third to the right of G.

III. H is not an immediate neighbor of G.
This statement tells us that H is not an immediate neighbor of G. Although it provides some information about the positions of H and G, it does not directly tell us who sits third to the right of G.

Combining the Statements:
If we combine statement I and II, we can gather more information about the positions of A, B, E, G, and H. We know that A is to the immediate right of E, and H is third to the left of A. Additionally, G is fourth to the right of H. By combining this information, we can determine the position of G relative to A and H.

Conclusion:
From the given statements, both statement I and II together are sufficient to determine who sits third to the right of G. Therefore, the correct answer is option D: "Both I and II together are sufficient."

Directions [Set of 5 questions]: Eight Teachers A, B, C, D, E, F, G and H taught different subjects Hindi, English, History, Chemistry, Biology, Physics, Mathematics and Geography not necessarily in the same order. They kept their subject books in eight different rack which were stacked one over another and were numbered 1-8 from bottom to top. Every rack had only one book.
  • The rack number of the Physics book was thrice as that of the rack number of the Biology book
  • E's book was just above the Biology book
  • H taught English and his book was 3 racks above B's book
  • Hindi and Chemistry books were kept in consecutive racks
  • Hindi book's rack number was twice as that of the rack number of A's book
  • Mathematics book was kept either in the topmost or the lowest rack
  • D's book was 3 books below G's book
  • Geography book was 2 books below the chemistry book
  • C's book was in rack 7
  • B did not teach Biology or Physics
Q. Which of the following subject was taught by C?
  • a)
    Mathematics
  • b)
    Biology
  • c)
    History
  • d)
    Hindi
  • e)
    Geography
Correct answer is option 'C'. Can you explain this answer?

Vinod Mehta answered
  • The rack number of the Physics book was thrice as that of the rack number of the Biology book. Physics book can be in rack 6 or 3
  • E's book was just above the Biology book
  • C's book was in rack 7
Case 1:
  • Hindi and Chemistry books were kept in consecutive racks
  • Hindi book's rack number was twice as that of the rack number of A's book
  • Geography book was 2 books below the chemistry book
Case 1:


  • H taught English and his book was 3 racks above B's book
  • B did not teach Biology or Physics
Case 1:

Invalid as H cannot be placed in the arrangement
Case 1a:

Invalid as B did not teach Physics
Case 2a:
  • Mathematics book was kept either in the topmost or the lowest rack
  • D's book was 3 books below G's book
Case 1a:

Invalid as Mathematics book cannot be placed in this arrangement
  • Hindi and Chemistry books were kept in consecutive racks
  • Geography book was 2 books below the chemistry book

C taught History.

Directions: A block was divided into 10 villages A, B, C, D, E, F, G, H, I and J. These villages were electrified one by one not necessarily in the same order. The electrification took place in the months of January, February, March, April and May on either 11th or 23rd of these months. No 2 villages were electrified on the same day. The electrification took place in the same year.
  • Number of villages electrified after village B was thrice as that the number of villages that were electrified after village A. B was not electrified the last
  • A and F were electrified at a gap of 2 villages
  • Number of villages electrified after village I was twice as that of the number of villages electrified before D
  • B and D were electrified consecutively
  • G was electrified just before E but neither of them was the last or the first to be electrified
  • J was electrified on 23rd
  • C was electrified in March
Q. How many villages were electrified between village F and H?
  • a)
    None
  • b)
    One
  • c)
    Two
  • d)
    Three
  • e)
    Four
Correct answer is option 'A'. Can you explain this answer?

Jyoti Sarkar answered
Analysis:
- A was not the first village to be electrified
- B was not the last village to be electrified
- A and F were electrified at a gap of 2 villages
- Number of villages electrified after village B was thrice as that after village A
- Number of villages electrified after village I was twice as that before D
- B and D were electrified consecutively
- G was electrified just before E
- J was electrified on 23rd
- C was electrified in March

Solution:
- From the given information, we know that J was electrified on 23rd, so E was electrified before J.
- Since G was electrified just before E, G must have been electrified on 11th (as E was not the first village).
- So, the order of electrification becomes: G, E, J.
- Since B and D were electrified consecutively, and B was not the last village, D must be the last village to be electrified.
- So, the order of electrification becomes: G, E, J, B, D.
- Since C was electrified in March and J was on 23rd, C must have been electrified on 11th of March.
- So, the order of electrification becomes: G, E, J, C, B, D.
- Since A and F were electrified at a gap of 2 villages, A must have been electrified before C.
- So, the order of electrification becomes: G, E, J, A, C, B, D, F.
- Number of villages electrified after village A was 1 (C), and after village B was 3 (D, F, H).
- Therefore, there were no villages electrified between village F and H.
Therefore, the correct answer is option A) None.

A and B entered into a partnership. A invested Rs 5000 and B invested an amount equal to Rs 2000. After 3 months A withdrew Rs 1000 and B invested Rs 1000 more. What must be the profit at the end of the year if A receives a share of Rs 17,000?
  • a)
    Rs 38000
  • b)
    Rs 30000
  • c)
    Rs 24000
  • d)
    Rs 28000
  • e)
    Rs 20000
Correct answer is option 'D'. Can you explain this answer?

Anjana Singh answered
All money units are in Rs.
∵ A withdrew 1000 after 3 months, he had 5000 invested for 3 months and 4000 invested for remaining 9 months.
∵ B invested 1000 more after 3 months, he had invested 2000 for 3 months and 3000 for remaining 9 months.
A's total investment = capital X Time
= 5000 X 3 + 4000 X 9 = 51000
B's total investment = 2000 X 3 + 3000 X 9 = 33000
Ratio of investments = 51000:33000 = 51:33 = 17:11
Sum of parts of ratio = 17 + 11 = 28
Let the profit at the end of the year be 'p'
A's share = (17/28) X p = 17000
⇒ p = (28 X 17000)/17
⇒ p = 28,000

A mixture of cold drinks which contain Pepsi, Seven Up and Limca in the ratio of 3 : 5 : 2 is mixed with another cold drink which contains Limca, Pepsi and Slice. If the resulting mixture of cold drink contains Pepsi, Seven Up, Limca and Slice in the ratio of 5 : 7 : 6 : 2 then in what ratio first mixture of the cold drink was mixed with 2nd mixture of the cold drinks?
  • a)
    7 : 3
  • b)
    5 : 2
  • c)
    11 : 5
  • d)
    3 : 7
  • e)
    17 : 7
Correct answer is option 'A'. Can you explain this answer?

Kiran Reddy answered
Let the total volume of 1st mixture be = 10n liter
Pepsi, Seven Up and Limca are in the ratio of 3 : 5 : 2.
So, volume of Seven up in the 1st mixture = 5n liter.
Let's assume total volume of the 2nd mixture = A liter.
Hence, we will get resultant mixture;
5n/(10n + A) = 7/20
⇒ 100n = 70n + 7A
⇒ 7A = 30n
⇒ A = 30n/7
Therefore, required ratio = 10n : A = 10n : 30n/7 = 7 ∶ 3

Directions [Set of 5 questions]: A family of nine members P, Q, R, S, T, U, V, W and X has each member attending their respective friend's wedding in the month of October, November and December. These weddings take place on 7th, 20th and 28th of above mentioned month. only one family member visits one wedding and only one wedding takes place on any given date. Also, family members are wearing dresses of different colours for wedding ceremonies.
The one wearing red dress and first to visit wedding is eldest male member of the family. V visits wedding on an even numbered date but not in a month with even number of days. The person who visits last is the youngest female member of family. U and Q visits wedding in same month but not in October or in the same month as V. Persons wearing black and blue dress visit wedding in same month. W is grandmother of X and the one wearing a violet dress for wedding. P, a male member, has an unmarried son who wears black for wedding and visits wedding immediately after P. R is wearing green colour dress and his wife is wearing a grey colour dress, both attend wedding on same dates of different months. Orange coloured dress is worn on an even date immediately before silver coloured dress worn in same month. V is a male member. T is the maternal uncle of X and paternal uncle of V. U is spouse of one of the children of P. S is the son-in-law of W and is not married to U. W is not wearing grey dress. One of the family member wear golden dress and W visits the wedding after the same date of that of S, who has a daughter.
Answer the following questions based on the above information:
Q. Who is visiting wedding on 28th November?
  • a)
    W
  • b)
    P
  • c)
    U
  • d)
    T
  • e)
    S
Correct answer is option 'A'. Can you explain this answer?

Parth Joshi answered
Understanding the Family Structure
- The family has nine members: P, Q, R, S, T, U, V, W, and X.
- W is the grandmother of X and is wearing a violet dress.
- S is the son-in-law of W.
Wedding Dates and Members
- Weddings occur on 7th, 20th, and 28th of October, November, and December.
- V attends a wedding on an even-numbered date but not in a month with even days (so, V must attend in October).
- The youngest female member attends the last wedding.
Dress Colors and Relationships
- P, a male member, has a son who wears black and attends the wedding immediately after P.
- R wears a green dress, and his wife wears a grey dress; they attend weddings on the same dates but in different months.
- The orange dress is worn on an even date immediately before the silver dress in the same month.
Key Events Leading to the Answer
- W, in a violet dress, visits the wedding after S, who has a daughter.
- Since V visits in October and cannot attend a wedding in November, we deduce S must attend a wedding in October.
- Given W's position as the grandmother, she would logically attend a wedding in November.
Conclusion
- Since W is attending a wedding after S and must be the one attending on 28th November, the answer to who is visiting the wedding on 28th November is W (option 'A'). This aligns with the relationships and the dress colors outlined in the scenario.

Directions: A block was divided into 10 villages A, B, C, D, E, F, G, H, I and J. These villages were electrified one by one not necessarily in the same order. The electrification took place in the months of January, February, March, April and May on either 11th or 23rd of these months. No 2 villages were electrified on the same day. The electrification took place in the same year.
  • Number of villages electrified after village B was thrice as that the number of villages that were electrified after village A. B was not electrified the last
  • A and F were electrified at a gap of 2 villages
  • Number of villages electrified after village I was twice as that of the number of villages electrified before D
  • B and D were electrified consecutively
  • G was electrified just before E but neither of them was the last or the first to be electrified
  • J was electrified on 23rd
  • C was electrified in March
Q. When was village E electrified?
  • a)
    11th February
  • b)
    23rd March
  • c)
    23rd February
  • d)
    11th April
  • e)
    23rd April
Correct answer is option 'C'. Can you explain this answer?

Jyoti Sarkar answered
Answer:
Explanation:
- Given Conditions:
- Number of villages electrified after village B was thrice as that the number of villages that were electrified after village A.
- A and F were electrified at a gap of 2 villages.
- Number of villages electrified after village I was twice as that of the number of villages electrified before D.
- B and D were electrified consecutively.
- G was electrified just before E but neither of them was the last or the first to be electrified.
- J was electrified on 23rd.
- C was electrified in March.
- Analysis:
- From the given conditions, the order of electrification is as follows:
A or F -> B -> D -> G -> E -> C -> I -> J
- Village E is electrified after village G but before village C.
- Conclusion:
- Village E was electrified on 23rd February.
Therefore, the correct answer is option C) 23rd February.

The compound interest accrued on an amount of Rs.35000 in two years is Rs.8904. What would be the difference between the compound interest and the simple interest accrued on the same amount but at half the rate of interest in two years?
  • a)
    Rs.126
  • b)
    Rs.136
  • c)
    Rs.146
  • d)
    Rs.156
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Anjana Singh answered
Let 'r' be the rate of interest.
→ Rs.35000 (1+r/100)2 = Rs.35000 + Rs.8904
→ (1+r/100)2 = 43904/35000 = 1.2544
→ 1 + r/100 = √1.2544 = 1.12
→ r = 12% p.a.
There is a direct formula to calculate the difference between the compound interest and the simple interest at rate of interest r% per annum and for principal p.
CI - SI = p(r/100)2
In this case rate of interest should be half,
r = 12/2 = 6%
now, putting the values in the formula
= 35000(6/100)2
= Rs. 126

Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient for answering the question.
Find the difference between compound interest and simple interest on that sum at r% per annum after 3 years.
Statement I: The sum on compound interest amounts to Rs.44100 at r% per annum after two years.
Statement II: The sum on simple interest amounts to Rs.52800 at 8% per annum after four years.
  • a)
    if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.
  • b)
    if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.
  • c)
    if both statements I and II together are needed to answer the question.
  • d)
    if either the statements I alone or statement II alone is sufficient to answer the question
  • e)
    if you cannot get the answer from the statements I and II together, but need even more data.
Correct answer is option 'C'. Can you explain this answer?

Arya Saha answered
Understanding the Problem
To find the difference between compound interest (CI) and simple interest (SI) on a sum at r% per annum after 3 years, we need sufficient information regarding the principal amount and the rate of interest.
Statement I Analysis
- The sum on compound interest amounts to Rs. 44100 after 2 years at r% per annum.
- Using the formula for compound interest, we can calculate the principal amount.
- Once we have the principal, we can compute the amount after 3 years to determine the CI.
- However, we still need the rate (r) to compare CI with SI.
Statement II Analysis
- The sum on simple interest amounts to Rs. 52800 at 8% per annum after four years.
- From this, we can calculate the principal amount using the SI formula.
- Knowing the principal and the rate (8%), we can find SI for any time duration.
- However, this statement does not provide information about the compound interest amount after 3 years.
Combining Both Statements
- Statement I gives us the amount after 2 years on CI, allowing us to calculate the principal and then the CI for 3 years.
- Statement II provides the principal amount and the rate for calculating SI but doesn't specify the compound interest.
- Together, they allow us to calculate both CI and SI, as we can derive the rate from Statement II and apply it in Statement I.
Conclusion
- Thus, both statements together provide the necessary information to solve for the difference between CI and SI after 3 years.
- Hence, the correct answer is option 'C': both statements I and II together are needed to answer the question.

Directions: A block was divided into 10 villages A, B, C, D, E, F, G, H, I and J. These villages were electrified one by one not necessarily in the same order. The electrification took place in the months of January, February, March, April and May on either 11th or 23rd of these months. No 2 villages were electrified on the same day. The electrification took place in the same year.
  • Number of villages electrified after village B was thrice as that the number of villages that were electrified after village A. B was not electrified the last
  • A and F were electrified at a gap of 2 villages
  • Number of villages electrified after village I was twice as that of the number of villages electrified before D
  • B and D were electrified consecutively
  • G was electrified just before E but neither of them was the last or the first to be electrified
  • J was electrified on 23rd
  • C was electrified in March
Q. Which of the following village was electrified the 2nd last?
  • a)
    F
  • b)
    A
  • c)
    G
  • d)
    H
  • e)
    E
Correct answer is option 'D'. Can you explain this answer?

  • Number of villages electrified after village B was thrice as that the number of villages that were electrified after village A
  • A and F were electrified at a gap of 2 villages
  • B and D were electrified consecutively



  • Number of villages electrified after village I was twice as that of the number of villages electrified before D, thus, 1st arrangement becomes invalid
Case 1:


  • C was electrified in March, thus, case 1 becomes invalid.
  • J was electrified on 23rd
  • G was electrified just before E but neither of them was the last or the first to be electrified
Case 2:

Invalid as C cannot be placed in this case
Case 2a:


Invalid as C cannot be placed in this case
Thus, the final case is as follows:

H was electrified 2nd last.

Directions: Read the following passage carefully and answer the questions that follow.
It has become common advice for businesspeople to use "I statements" - such as, "I feel frustrated that you missed the budget deadline twice" - as a way to raise challenging conversations without causing colleagues to feel blamed or under attack. Indeed, I statements may be helpful during situations in which you have a close personal relationship to a colleague who cares about your well-being, or when you want to show that a particular issue has moral implications for you. But in most cases, I statements are more likely to undercut your argument than to strengthen it. Here are three reasons why I statements backfire, and what you can do instead.
They can be seen as expressions of emotionalism, particularly when they're used by women. One vice president I coached was frustrated by a decision her executive team was planning to make. She sought advice from HR about how to convince two crucial members of the disadvantages of one course of action and the benefits of another. Her HR business partner advised her that framing her argument in I statements, to show how much she cared and how strongly she felt, would help her sound less negative and be more persuasive. But when the vice president met with the two executives, they were clearly unmoved, and they began to discount her perspective publicly in subsequent group meetings.
When she told me about the conversation, I noted how personal her comments sounded, and how she might have damaged her credibility if the execs believed her feelings were hurt because her advice hadn't been taken, rather than recognizing that she was concerned about potential harm to the business. ­­­­____________. She went to the next meeting armed with data from past similar situations and projections for future results and was significantly more effective when she let the numbers do the talking for her, rather than appearing to have taken things personally.
They can appear to be about what's best for you personally. Here's another example from one of my clients. A sales rep had a special accommodation to use a private office several times a day to tend to a health condition. His sales manager approached him and explained that the room would not be available for a few days because of construction, but that the rep could use a conference room or another manager's office or could work from home until the construction was completed. The rep reacted negatively to all three options and made a number of both formal and informal complaints about being displaced.
When I debriefed with the sales manager about the situation, he reported that he had used language like "I really need you to give up the private room for a few days" and "I'm really trying to make this work for you" as a way to create a sense of mutual interest and concern. But the appeal didn't work: The rep felt that the manager was doing what was easy for him, and that if he was really trying to help, he would have changed the construction schedule. The manager and I discussed how the language could have been more neutral, impersonal, and inevitable to prepare for future, similar circumstances: "Unfortunately, there's going to be construction in this room for a few days. We have three different possible accommodations available for you during that time. Please let me know which will be best for you."
They can put you at risk of appearing weak. This is particularly a concern because leaders tend to be less empathetic the higher in the organization they go and are more likely to be interested in what you can accomplish than sympathetic about the challenges you're facing. A director I coach described his plan to confront his boss about an interdepartmental problem. His intention was to use an I-statement structure to elicit his boss's concern and convey how strong a stand he was taking: "I feel I cannot deal with the way things are going with department X anymore." I suggested that he start the conversation by asking his boss what outcomes she wanted; say something more authoritative, like, "Our current approach with the other department is ineffective"; and then describe the steps he was taking to work with the difficult department. Otherwise, he was likely to come across as if the issue was his inability to handle the problem or his refusal to see the situation from the other department's point of view. He agreed that his boss would be irritated if she thought he was demonizing the other department and emphasizing his personal frustration as if he needed to be spared the responsibility of finding a solution.
Many decision makers are uncomfortable with emotional content and can react badly if they feel they're being embroiled in drama or are being emotionally blackmailed. It's typically more convincing to use analytical or evidence-based appeals than descriptions of personal impact. After many years of workplace consulting, I've found that it's often more persuasive to leave oneself out of the equation, and to highlight instead what's beneficial to the work team or the business itself.
Q. Which of the following sentences would fit in the given blank in order to form a coherent part of the paragraph?
  • a)
    Use of You-Statements might communicate an accusatory tone and I-Statements might demonstrate a willingness to take responsibility for one's own perceptions and feelings.
  • b)
    It can alienate people from us because their experience may not be the same as ours.
  • c)
    The whole purpose of using I-Statements instead of You-Statements is the premise that they are more likely to get the other person to change his or her behaviour.
  • d)
    We brainstormed a solid case complete with specific examples, trends, and likely outcomes.
  • e)
    'I-statements' contribute to effective communication and effective conflict resolution.
Correct answer is option 'D'. Can you explain this answer?

Prateek Datta answered
Explanation:

Context:
The passage discusses the drawbacks of using "I statements" in communication, providing examples of situations where they backfired and offering alternatives.

Answer:
- The sentence that would fit in the given blank to form a coherent part of the paragraph is option 'D' - "We brainstormed a solid case complete with specific examples, trends, and likely outcomes."

Explanation:
- This sentence fits well in the blank because it describes a proactive approach taken by the vice president to prepare for a meeting.
- By brainstorming a solid case with specific examples, trends, and likely outcomes, the vice president was able to shift the focus from personal emotions to concrete data.
- This approach helped her present a more persuasive argument based on evidence rather than personal feelings.
- By using this strategy, she was able to improve her credibility and effectiveness in the meeting.

Directions: Certain number of persons are standing in the row facing south.
A is standing 4th the left of C and 2nd to the right of B. D is the neighbour of C and is standing at the gap of 4 persons from E. F is standing exactly in the middle of E and C. G is the neighbour of A but not the neighbour of B. G is standing 7th from one of the end of the row. Number of persons standing between F and D is same as that of between A and D.
Q. What is the position of E with respect to F?
  • a)
    2nd to the right
  • b)
    2nd to the left
  • c)
    3rd to the right
  • d)
    3rd to the left
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Arshiya Nair answered
Position of E with respect to F:
E is standing 4th to the right of F.

Explanation:
- A is standing 4th to the left of C and 2nd to the right of B.
- D is the neighbour of C and is standing at the gap of 4 persons from E.
- F is standing exactly in the middle of E and C.
- G is the neighbour of A but not the neighbour of B. G is standing 7th from one of the end of the row.
- Number of persons standing between F and D is same as that between A and D.
From the given information, we can determine the positions of the individuals in the row as follows:
1. A - B - G - (empty) - A - C - F - (empty) - D - E
Therefore, E is standing 4th to the right of F. The correct answer is option 'a) 2nd to the right'.

Directions [Set of 4 Questions]: Six people P,Q,R,S,T,U were living in a six floored apartment numbered from 1-6 ( 6 being the topmost floor). Only one person was living on each floor. Each of them was of different age and the room number in which they lived was different for everyone. The people in decreasing order of their age are:
R(106)>Q(103)>S(104)>U(112)>P(110)>T(101)
(Note:- R(106) means that the room number of R is 106.)
Further it is known that two people lived between the person with third highest room number and the person who was second eldest where the former lived above the latter. The person whose room number was second least, lived just above the person who was third youngest. The person who was second youngest lived on the 5th floor. The person living just below U, lived on an odd numbered room.
Q. What is the difference in the room number of the person living on 3rd floor and 6th floor?
  • a)
    2
  • b)
    3
  • c)
    4
  • d)
    5
  • e)
    6
Correct answer is option 'B'. Can you explain this answer?

Ishani Khanna answered
Analysis:
First, let's list down the information given:
- R(106) > Q(103) > S(104) > U(112) > P(110) > T(101)
- Two people lived between the person with the third-highest room number and the second eldest.
- The person with the second least room number lived just above the third youngest.
- The second youngest lived on the 5th floor.
- The person below U lived in an odd-numbered room.

Room Numbers:
- From the given order, we have: T(101), Q(103), S(104), P(110), R(106), U(112)
- So, the room numbers for each person are: T(101), Q(103), S(104), P(110), R(106), U(112)

Relationships:
- From the information given, we know that the person with the third-highest room number (S) and the second eldest (Q) have two people between them, where S is above Q.
- So, the order for this scenario would be: T, S, P, Q, R, U

Calculating the Difference:
- The person living on the 3rd floor is S(104) and the person on the 6th floor is U(112).
- Therefore, the difference in their room numbers is 112 - 104 = 8.
- But, we need to consider that there are 4 floors between them (3rd to 6th), so the actual difference in room numbers between the 3rd and 6th floor occupants is 8 / 4 = 2.
Therefore, the correct answer is option B) 3.

If we can form an English meaningful word by using the 1st and 6th alphabets of the word 'PRINCESS' together with 1st and 3rd alphabets of the word 'PRIDE'; which of the following will be the 3rd alphabet of the newly formed word. Mark 'X' as your answer if no such word can be formed. Mark 'Y' as your answer if more than one such words can be formed. (the counting is left to right)
  • a)
    I
  • b)
    P
  • c)
    E
  • d)
    X
  • e)
    Y
Correct answer is option 'B'. Can you explain this answer?

Arpita Pillai answered
Understanding the Problem
To solve the problem, we need to identify the specific letters from the words "PRINCESS" and "PRIDE" and see if we can form meaningful words.
Step 1: Identify the Required Letters
- From the word "PRINCESS":
- 1st alphabet: P
- 6th alphabet: C
- From the word "PRIDE":
- 1st alphabet: P
- 3rd alphabet: I
Step 2: Forming Combinations
Now we have the letters: P, C, P, I.
We can rearrange these letters to form different combinations.
Step 3: Possible Combinations
The possible combinations of the letters P, C, P, and I include:
- PIPC
- PICP
- CPIP
- CIP
Among these combinations, we need to check which ones form meaningful English words.
Step 4: Finding Meaningful Words
After checking the combinations, it’s identifiable that:
- "PIP" is a valid word.
- "PIC" is also a valid word.
Therefore, both "PIP" and "PIC" can be formed from the letters.
Step 5: Analyzing the Options
Since we can form more than one meaningful word (PIP and PIC), we conclude that:
- The answer is option Y (more than one such word can be formed).
Final Answer
The correct answer is option B.

Dinesh's monthly income is 25% more than monthly income of Eswar. While, Eswar saves 20% more than Dinesh. Dinesh's monthly income is Rs.12000/- and his monthly savings are Rs. 3000/-. What is the annual expenditure of Eswar?
  • a)
    Rs.60000/-
  • b)
    Rs.48000/-
  • c)
    Rs.51000/-
  • d)
    Rs.72000/-
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Given that, monthly income of Dinesh = Rs.12000/-
Therefore monthly income of Eswar = (Rs.12000) &div [1 + 25/100] = Rs.9600/-.
Monthly savings of Dinesh = Rs.3000/-
Therefore monthly savings of Eswar = [1 + 20/100] 3000 = Rs.3600/-
Therefore annual expenditure of Eswar = 12 * Rs. (9600 - 3600) = Rs.72000/-
Hence the correct option is D.

Directions : Study the given information carefully and answer the following questions. When a number and rearrangement machine is given an input line of words and numbers, it arranges them following a certain rule. The following is an illustration of input and rearrangement.
INPUT: 11 sunrise water 24 54 frozen wishful 82 wise 31
  • Step 1: frozen sunrise water 24 54 wishful 82 wise 31 02
  • Step 2: frozen wishful sunrise water 24 54 wise 31 10 02
  • Step 3: frozen wishful sunrise water 54 wise 31 06 10 02
  • Step 4: frozen wishful sunrise wise water 31 09 06 10 02
  • Step 5: frozen wishful sunrise wise water 04 09 06 10 02
Answer the following questions based on the above information for the given input:
INPUT: hour kingdom 23 72 quarter 81 31 borrow 91 lemon
Q. Which of the following will be the 3rd step of the arrangement?
  • a)
    borrow quarter hour 72 81 kingdom lemon 04 10 05
  • b)
    borrow hour quarter kingdom 72 81 lemon 04 10 05
  • c)
    borrow quarter hour kingdom 72 81 lemon 04 10 05
  • d)
    quarter borrow hour kingdom 72 81 lemon 04 10 05
  • e)
    borrow hour quarter 72 kingdom 81 04 10 lemon 05
Correct answer is option 'C'. Can you explain this answer?

Swati Datta answered
Understanding the Input and Rearrangement Process
The input consists of a mix of words and numbers: "hour kingdom 23 72 quarter 81 31 borrow 91 lemon". The rearrangement machine follows a specific set of rules to sort the input.
Steps of Rearrangement
1. Identifying the Sequence: The machine prioritizes words over numbers. Within the words, it first sorts them alphabetically, while numbers are sorted in ascending order.
2. Processing the Input:
- Step 1: Identify words and numbers.
- Step 2: Sort words alphabetically: borrow, hour, kingdom, lemon, quarter.
- Step 3: Sort numbers in ascending order: 23, 31, 72, 81, 91.
Analyzing the Given Steps
- Step 1 Result: borrow quarter hour 23 31 72 81 91 lemon
- Step 2 Result: borrow hour quarter 23 31 72 81 lemon
- Step 3 Result: borrow quarter hour kingdom 72 81 lemon
Reaching the 3rd Step Outcome
From the analysis, the correct order at the 3rd step involves:
- Words: borrow, quarter, hour, followed by the rest of the words and numbers sorted accordingly.
The 3rd step correctly arranges the words and numbers as follows:
- Words: borrow, quarter, hour
- Numbers: 72, 81, followed by the remaining word lemon.
Thus, the correct answer is option C: borrow quarter hour kingdom 72 81 lemon 04 10 05.
This reflects the proper sequence after applying the sorting rules, ensuring a clear understanding of the machine's logic.

In the given sentences, a blank is given indicating that something is missing. From the given four options a combination of word would fit the blank thereby making it grammatically and contextually correct.
Our ___________ objective was to hire the most talented scientists and engineers to help lead the company and our cities to a driverless future.
A. Sole
B. Lone
C. Intentional
D. Purely
  • a)
    AB
  • b)
    BC
  • c)
    CD
  • d)
    AD
  • e)
    None will fit
Correct answer is option 'A'. Can you explain this answer?

Mansi Mishra answered
Understanding the Context
In the sentence, the missing word is meant to describe the primary or most important objective of the company. The context suggests a focus on hiring skilled professionals for future advancements.
Analyzing the Options
- A. Sole: This word means "only" or "single." It emphasizes that this objective is the only or primary goal, which fits perfectly in the context of hiring the best talent for a significant purpose.
- B. Lone: While it also implies singularity, "lone" typically refers to being alone or isolated, which does not convey the intended meaning of a primary goal.
- C. Intentional: This word means done on purpose. While it could fit in some contexts, it does not emphasize the singularity or primary nature of the objective.
- D. Purely: This adverb means solely or exclusively. It suggests a focus but does not work well as an adjective to describe "objective."
Why Option A is Correct
- Clarity: By using "sole," the sentence clearly indicates that the primary aim of hiring talented scientists and engineers is emphasized, aligning perfectly with the context of leading to a driverless future.
- Grammatical Fit: "Sole" fits grammatically as an adjective describing "objective," making the sentence fluid and coherent.
Conclusion
Thus, the most suitable choice for the blank is A. Sole, as it accurately conveys the intended meaning of having a single, focused objective in the context provided.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following.
Assertion (A): Frogs and toads go in a state of hibernation during winters.
Reason(R): In winter, trees lose their leaves and undergo dormancy.
  • a)
    Both A and R are correct and R is the correct explanation of A.
  • b)
    Both A and R are correct and R is NOT the correct explanation of A.
  • c)
    A is true but R is false.
  • d)
    A is false but R is true.
  • e)
    Both A and R are false.
Correct answer is option 'B'. Can you explain this answer?

Pallavi Shah answered
Assertion (A): Frogs and toads go in a state of hibernation during winters.
Reason (R): In winter, trees lose their leaves and undergo dormancy.

Explanation:
Defining Hibernation:
Hibernation is a state of inactivity and metabolic depression in animals, characterized by low body temperature, slow breathing, and heart rate, and low metabolic rate. It is an adaptation to survive during periods of extreme cold or scarcity of food.

Explanation of Assertion (A):
Frogs and toads are cold-blooded animals, which means their body temperature is dependent on the temperature of their environment. During winters, when the temperature drops, frogs and toads enter a state of hibernation to conserve energy and survive the harsh conditions. They find shelter in burrows or under logs, where they remain inactive and do not feed. This helps them conserve energy and reduce metabolic activity, as their metabolism slows down significantly during hibernation.

Explanation of Reason (R):
The reason given in (R) is incorrect. The loss of leaves by trees and their dormancy during winter is not directly related to the hibernation of frogs and toads. Trees lose their leaves and undergo dormancy as a survival mechanism to conserve energy and protect themselves from the cold and harsh weather conditions. During dormancy, trees reduce their metabolic activity and enter a state of rest, which allows them to survive the winter. This process is not directly linked to the hibernation of frogs and toads.

Conclusion:
Both Assertion (A) and Reason (R) are correct, but Reason (R) is not the correct explanation of Assertion (A). The hibernation of frogs and toads during winters is not influenced by the loss of leaves and dormancy of trees.

In the following questions two equations numbered I and II are given. You have to solve both the equations and choose the correct option.
I. x2 -11x +10 = 0
II. y2 +4y -192 = 0
  • a)
    x < y
  • b)
    x > y
  • c)
    x ≤ y
  • d)
    x ≥ y
  • e)
    x = y or relationship cannot be established
Correct answer is option 'E'. Can you explain this answer?

Solving Equation I
To solve the first equation, x² - 11x + 10 = 0, we can factor it.
- The factors of 10 that add up to -11 are -1 and -10.
- Thus, we can rewrite the equation as (x - 1)(x - 10) = 0.
This gives us the solutions:
- x = 1
- x = 10
Solutions for x:
- x = 1, 10
Solving Equation II
Now, let's solve the second equation, y² + 4y - 192 = 0, which can also be factored.
- The factors of -192 that add up to 4 are 16 and -12.
- Therefore, we can rewrite the equation as (y + 16)(y - 12) = 0.
This gives us the solutions:
- y = -16
- y = 12
Solutions for y:
- y = -16, 12
Comparing x and y
Now we have the values:
- x: 1, 10
- y: -16, 12
Next, we need to compare x and y:
- For x = 1:
- 1 > -16 (true)
- 1 < 12="" />
- For x = 10:
- 10 > -16 (true)
- 10 > 12 (false)
Conclusion:
- The values of x (1, 10) can be compared with the values of y (-16, 12).
- While some values of x are greater than certain values of y, others are not.
Thus, the relationship cannot be established definitively, leading to the conclusion:
Final Answer:
- Option E: x = y or relationship cannot be established.

Directions: A family consists of 11 members over three generations Kavita is the grandmother of Mita, a girl. Kishore is the father of Lina, his daughter and father-in-law of Jaya and Jitu. Jitu is the father of Mayank, who has a sister Mona and two cousins. Lata is the sister of Lokesh and each of them has 2 children. Jaya is the sister-in-law of Lata and Lina and the mother of Mahesh. Kavita has 2 daughters, one being unmarried.
Answer the following questions based on the above information:
Q. How is Lina related to Kavita?
  • a)
    Daughter
  • b)
    Daughter-in-law
  • c)
    Sister-in-law
  • d)
    Sister
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Sparsh Mehta answered
Explanation:

Given Information:
- Kavita is the grandmother of Mita.
- Kishore is the father of Lina, father-in-law of Jaya and Jitu.
- Jitu is the father of Mayank, who has a sister Mona and two cousins.
- Lata is the sister of Lokesh and each of them has 2 children.
- Jaya is the sister-in-law of Lata and Lina, and the mother of Mahesh.
- Kavita has 2 daughters, one being unmarried.

Relationship between Lina and Kavita:
- Kavita is the grandmother of Mita.
- Kavita has two daughters, one of whom is Lina.
- Therefore, Lina is the granddaughter of Kavita.
Therefore, Lina is related to Kavita as her daughter.

Directions: In the following passage, certain phrases/words are being underline. Some of the phrases/words in bold are incorrectly used either contextually or grammatically. You are provided with four options (A), (B), (C) and (D) one of which can replace the phrase/ word in bold in order to make the sentence coherent and meaningful. If the phrase/ word in bold is correctly used in the paragraph and no correction is required then mark (E) as your answer.
As one lit fest concludes another starts marketing. Sadly, what we are seeing is the unfolding of literature-as-performance as opposed to literature as a space for reflective discourse. Suddenly, it seems that every writer (A) for all he's worth is reading from his work to cheering audiences. In the quest for persona-building and biography construction, book-reading sessions are now more in the news than the books. The quiet (B) sanctity of communion between text and reader is now given a sanctimonious turn with just hearing the text conferring a hierarchical uppity to the attendees.
Quite apart from the fact that the very concept of a book-reading assumes that the author has a rich baritone and won't stutter and stammer and generally mispronounce his own words, this new trend of sharing what is essentially a private space is also a/an (C) rebuilding of the traditional Chinese wall between writers and readers. "Writers should be read, but neither seen nor heard," said British novelist Daphne du Maurier.
And over the centuries many writers have chosen not to be seen or heard. French novelist Marcel Proust turned a recluse in the last 15 years of his life though that didn't stop him from writing his masterpiece 'In Search of Lost Time' during that period of exile. J.D. Salinger was so disturbed by the fame that suddenly (D) impelled him following the success of A Catcher in the Rye that he asked for his picture to be removed from the dust jacket of future editions of the book. As he said, "I like to write. I love to write. But I write just for myself and my own pleasure." Writers like George Orwell and George Eliot have used pseudonyms precisely as a means of setting boundaries (E) from the public reading their books.
Q. A
  • a)
    Worth pondering
  • b)
    Not worth a dime
  • c)
    Worth his salt
  • d)
    Not worth writing about
  • e)
    No correction required
Correct answer is option 'C'. Can you explain this answer?

Anjana Singh answered
'Worth one's salt' means good or competent at the job. Of course only the writers who are competent enough would be given a chance to read their work before audiences. 'Worth pondering' means worthy of reward or praise but if he is worthy of praise then author should not have any problem with him reading in front of the audience, the author is saying that as soon as a writer becomes good enough he just goes on the stage. Then a writer 'not worth a dime' (have little or no value) or 'not worth writing about' would not be even given a chance to go on the stage. The idiom 'for all one is worth' means 'to the utmost of one's powers or ability', which does not fit into the context here. Hence option c is the correct choice.

Directions: Study the following information carefully and answer the questions follows:
There are eight persons – P, Q, R, S, T, U, V and W out of which 3 are females and rest males. They are studying in different engineering colleges - IITB, IITD, IITKGP, BITS, IITR, IITM, IISc and IITK and belong to different cities - Mumbai, Delhi, Shimla, Kolkata, Hyderabad, Chennai, Bhopal and Jaipur.
T is from IITM and is from Mumbai. Q is from IITR and his sister R is from IITKGP and is from Shimla. S is from BITS and her friend is from IITB. U is from Chennai and is not from IISc and IITK. W is from Bhopal. P is not from Jaipur. No male belongs from Bhopal and Delhi. The one who belongs to Hyderabad is from IITB. The one who is from IITK is not from Jaipur nor Kolkata. The one who applied for IISc is neither from Kolkata nor Bhopal.
Q. Which of the following statement is incorrect?
  • a)
    P studies in IITB and is from Hyderabad.
  • b)
    S studies in BITS.
  • c)
    V is a male student from Jaipur.
  • d)
    W is a female student of IISc.
  • e)
    U lives in Chennai.
Correct answer is option 'D'. Can you explain this answer?

Avi Shah answered
Understanding the Problem
To determine the incorrect statement, we need to analyze the information provided systematically. There are eight individuals, their respective engineering colleges, and cities of origin.
Key Information Analysis
- T: From IITM, Mumbai.
- Q: From IITR, has a sister R from IITKGP, Shimla.
- S: From BITS, has a friend from IITB.
- U: From Chennai, not from IISc or IITK.
- W: From Bhopal.
- P: Not from Jaipur.
- No males are from Bhopal and Delhi.
- The person from Hyderabad is from IITB.
- The IITK student is neither from Jaipur nor Kolkata.
- The IISc applicant is neither from Kolkata nor Bhopal.
Identifying the Genders
- Females: R, S (S is confirmed female due to being a friend), and one more (who is yet to be identified).
- Males: Q, T, U, W, P, and V (the remaining unidentified male).
Examining Each Statement
- Statement a: P studies in IITB and is from Hyderabad.
- Possible, as P is not from Jaipur and can fit this.
- Statement b: S studies in BITS.
- Confirmed true by the provided data.
- Statement c: V is a male student from Jaipur.
- Possible because V's details are not given, and he can fit this.
- Statement d: W is a female student of IISc.
- Incorrect, as W is from Bhopal, which is not a city for males according to the rules.
- Statement e: U lives in Chennai.
- Confirmed true by the information.
Conclusion
The incorrect statement is D: W is a female student of IISc. This conflicts with the established fact that no males are from Bhopal. Thus, W must be male, making the statement false.

Below are given some sentences out of which the sentence numbered 4 has been correctly placed. The rest of the sentences A,B,C,D,E,F need to be arranged correctly in order to form a logical order.
  • Dry compasses began appearing around 1300 in Medieval Europe and the Medieval Islamic world.
  • The compass was later used for navigation during the Chinese Song Dynasty (960–1279 AD), as described by Shen Kuo. 
  • Magnetized needles and compasses were first described in medieval Europe by the English theologian Alexander Neckam (1157–1217 AD).
  • Later compasses were made of iron needles, magnetized by striking them with a lodestone.
  • The first compasses were made of lodestone, a naturally magnetized stone of iron, in Han dynasty China (202 BC – 220 AD).
  • This was replaced in the early 20th century by the liquid-filled magnetic compass.
  • The compass was invented more than 2,000 years ago.
Q. Which of the following is the FIFTH statement?
  • a)
    F
  • b)
    D
  • c)
    C
  • d)
    A
  • e)
    B
Correct answer is option 'C'. Can you explain this answer?

Sparsh Mehta answered

Arranging the Sentences in Logical Order:

Sentence C: The first compasses were made of lodestone, a naturally magnetized stone of iron, in Han dynasty China (202 BC – 220 AD).
Sentence D: Later compasses were made of iron needles, magnetized by striking them with a lodestone.
Sentence E: Magnetized needles and compasses were first described in medieval Europe by the English theologian Alexander Neckam (1157–1217 AD).
Sentence A: Dry compasses began appearing around 1300 in Medieval Europe and the Medieval Islamic world.
Sentence B: The compass was later used for navigation during the Chinese Song Dynasty (960–1279 AD), as described by Shen Kuo.
Sentence F: This was replaced in the early 20th century by the liquid-filled magnetic compass.

Therefore, the correct order of the sentences is: C, D, E, A, B, F.

Below are given some sentences out of which the sentence numbered 4 has been correctly placed. The rest of the sentences A,B,C,D,E,F need to be arranged correctly in order to form a logical order.
  1. Dry compasses began appearing around 1300 in Medieval Europe and the Medieval Islamic world.
  2. The compass was later used for navigation during the Chinese Song Dynasty (960–1279 AD), as described by Shen Kuo. 
  3. Magnetized needles and compasses were first described in medieval Europe by the English theologian Alexander Neckam (1157–1217 AD).
  4. Later compasses were made of iron needles, magnetized by striking them with a lodestone.
  5. The first compasses were made of lodestone, a naturally magnetized stone of iron, in Han dynasty China (202 BC – 220 AD).
  6. This was replaced in the early 20th century by the liquid-filled magnetic compass.
  7. The compass was invented more than 2,000 years ago.
Q. Which of the following is the SECOND statement?
  • a)
    F
  • b)
    D
  • c)
    C
  • d)
    A
  • e)
    B
Correct answer is option 'B'. Can you explain this answer?

Anjana Singh answered
F is the introductory sentence as it mentions the date when the compass was first invented. D follows by mentioning the material the first compasses were made of. B follows D by mentioning the use of the compass – used for navigation. 4C is a pair with .magnetized needles’ being mentioned in both the sentences. A gives the invention of the dry compass at a later date (1300 AD). E with ‘this’ (referring to the dry compass) concludes the paragraph by mentioning the invention of liquid compasses in the 20th century.
The correct order is FDB4CAE.
The ordered paragraph will be: The compass was invented more than 2,000 years ago. The first compasses were made of lodestone, a naturally magnetized stone of iron, in Han dynasty China (202 BC – 220 AD). The compass was later used for navigation during the Chinese Song Dynasty (960–1279 AD), as described by Shen Kuo. Later compasses were made of iron needles, magnetized by striking them with a lodestone. Magnetized needles and compasses were first described in medieval Europe by the English theologian Alexander Neckam (1157–1217 AD). Dry compasses began appearing around 1300 in Medieval Europe and the Medieval Islamic world. This was replaced in the early 20th century by the liquid-filled magnetic compass.
The SECOND statement is D.

9 litre of milk is taken out from a container and replaced by water. This process is repeated once more, the ratio of quantity in container (M : W) is 16 : 9. Now find the initial quantity of milk in the container?
  • a)
    45 litres
  • b)
    35 litres
  • c)
    20 litres
  • d)
    25 litres
  • e)
    30 litres
Correct answer is option 'A'. Can you explain this answer?

Vinod Mehta answered
Let the initial quantity of milk in the container was = 25x
So 25x (1- 9/25x)n = 16x
((25x - 9)/25x)2 = 16x/25x
(25x - 9)/25x = √(16/25)
(25x - 9)/25x = 4/5
25x – 9 = 20x
5x = 9
x = 9/5
So initial quantity of milk = 25x = 25 × 9/5 = 45 litres

Raman and Aman invested some amounts every month in the ratio 3:4 respectively. If after 6 months Raman and Aman added Rs.4000 and Rs.3000 respectively to their initial investments, and at the end of one year, ratio of investments of Raman and Aman becomes 16:19 respectively, then what was the initial amount invested by Raman?
  • a)
    Rs.9000
  • b)
    Rs.8000
  • c)
    Rs.12000
  • d)
    Rs.15000
  • e)
    Rs.6000
Correct answer is option 'E'. Can you explain this answer?

Let initial amounts invested by Raman and Aman be 3Y and 4Y respectively.
Total investment of Raman at the end of 1-year = ((3Y) x 12) + (4000 x 6)
= 36Y + 24000
Total investment of Aman at the end of 1-year = ((4Y) x 12) + (3000 x 6)
= 48Y + 18000
Required ratio = (36Y +24000)/ (48Y +18000) = (16/19)
19 x (36Y +24000) = 16 x (48Y + 18000)
684Y + 456000 = 768Y + 288000
456000 - 288000 = 768Y - 684Y
168000 = 84Y
Y = 2000
So, initial amount invested by Raman = 3Y = Rs.6000.

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