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All questions of IBPS RRB PO Prelims for Bank Exams Exam

Direction: Read the following information carefully and answer the given question:
Nine people A, B, C, D, E, F, G, H, and I are seated in a straight line facing south direction but not necessarily in the same order.
D and C are sitting at the extreme ends. A sits second to the right of C. E sits third to the right of G. two people are sitting between F and C but none of them are E and G. C and I are not neighbors. D sits third to the right of H.
Q. What is the position of I with respect to F?
  • a)
    Third to the left.
  • b)
    Fourth to the right.
  • c)
    Second to the right
  • d)
    Second to the left
  • e)
    Third to the right
Correct answer is option 'E'. Can you explain this answer?

Arshiya Nair answered
Given Information:
- Nine people A, B, C, D, E, F, G, H, and I are seated in a straight line facing south direction.
- D and C are sitting at the extreme ends.
- A sits second to the right of C.
- E sits third to the right of G.
- Two people are sitting between F and C, but none of them are E and G.
- C and I are not neighbors.
- D sits third to the right of H.

Solution:
To find the position of I with respect to F, let's analyze the given information and form the seating arrangement step by step.

Step 1:
We can start by placing D and C at the extreme ends. Let's represent the seating arrangement using dashes (-).

- - - - - - - - -
D C

Step 2:
A sits second to the right of C. Since there are no other people mentioned yet, we can place A to the right of C.

- - - - - - - - -
D C A

Step 3:
E sits third to the right of G. As there are no other people mentioned yet, we can place E to the right of G.

- - - - - - - - -
D C A G E

Step 4:
Two people are sitting between F and C, but none of them are E and G. Let's place F and the two unknown people between C and F.

- - - - - - - - -
D C F ? ? A G E

Step 5:
C and I are not neighbors. Since we already placed C, we can place I either to the left or right of C. Let's try placing I to the right of C.

- - - - - - - - -
D C I F ? ? A G E

Step 6:
D sits third to the right of H. Since we already placed D, we can place H to its left.

- - - - - - - - -
H D C I F ? ? A G E

Conclusion:
From the given information and the seating arrangement, we can see that I is second to the right of F. Therefore, the correct answer is option (d) Second to the right.

Study the following information carefully and answer the questions given below.
Ten boxes - C, D, E, F, G, H, I, J, K and L are kept one above the other in a single stack, but not necessarily in the same order.
Only four boxes are kept between box L and box H, which is kept below box L. At least one box is kept above box D, which is kept immediately above box L. The number of boxes kept above box D is the same as the number of boxes kept below box K. Only two boxes are kept between box K and box I. Box C is kept immediately above box F, which is not kept adjacent to box D. Box G is kept above box E but below box J. More than two boxes are kept between box E and box G.
Q. What is the position of box C?
  • a)
    Third from the top
  • b)
    Fourth from the bottom
  • c)
    Fifth from the bottom
  • d)
    Fifth from the top
  • e)
    Fourth from the top
Correct answer is option 'C'. Can you explain this answer?

Kiran Saha answered
Given Information:
- Ten boxes - C, D, E, F, G, H, I, J, K and L are kept one above the other in a single stack, but not necessarily in the same order.
- Only four boxes are kept between box L and box H, which is kept below box L.
- At least one box is kept above box D, which is kept immediately above box L.
- The number of boxes kept above box D is the same as the number of boxes kept below box K.
- Only two boxes are kept between box K and box I.
- Box C is kept immediately above box F, which is not kept adjacent to box D.
- Box G is kept above box E but below box J.
- More than two boxes are kept between box E and box G.

Solution:
To determine the position of box C, we need to analyze the given information step by step.

Step 1: Constraints related to box L and H
- Only four boxes are kept between box L and box H, and H is kept below L.
- From this, we can infer that L must be placed fifth from the top, and H must be placed ninth from the top.

Step 2: Constraints related to box D
- At least one box is kept above box D, and D is kept immediately above L.
- Since L is placed fifth from the top, D must be placed sixth from the top.

Step 3: Constraints related to box K
- The number of boxes kept above D is the same as the number of boxes kept below K.
- Since D is placed sixth from the top, the number of boxes above D is six. Therefore, the number of boxes below K is also six.
- Only two boxes are kept between box K and box I. From this, we can infer that K must be placed third from the top and I must be placed seventh from the top.

Step 4: Constraints related to box F
- Box C is kept immediately above box F, and F is not kept adjacent to D.
- Since C is placed above F, C must be placed higher than F in the stack. Therefore, C cannot be placed seventh from the top.
- Since F is not kept adjacent to D, F cannot be placed fifth from the top.
- Combining the above two observations, C must be placed sixth from the top.

Step 5: Constraints related to box G and E
- Box G is kept above box E but below box J.
- More than two boxes are kept between box E and box G.
- Since G is placed below J, J must be placed higher than G in the stack.
- From the above two observations, G cannot be placed seventh from the top.
- Since more than two boxes are kept between E and G, E cannot be placed fifth from the top.
- Combining the above two observations, G must be placed sixth from the top.

Final Answer:
Based on the above deductions, the position of box C is the fifth from the bottom. Therefore, the correct answer is option (c) Fifth from the bottom.

Study the following information carefully and answer the below questions
If Mr. A walks towards north from Point H, after walking 8m, he reaches point M. Then he turns to his right and walks 6m to reach point S and then turns to his right and walks 16m to reach point V. Then he turns to his left and walks 4m to reach point G.
Mr. B walks towards west from Point T, after walking 7m, he reaches point Q. Then he turns to his left and walks 9m to reach point P. Point P is north of point G and east of point S.
Q. What is the direction of point H with respect to point T?
  • a)
    South
  • b)
    North-west
  • c)
    North-east
  • d)
    South-west
  • e)
    South-west
Correct answer is option 'D'. Can you explain this answer?



Explanation:

Given Information:
- Mr. A walks from Point H towards north and reaches Point M after 8m.
- He then turns right and walks 6m to reach Point S.
- From Point S, he turns right again and walks 16m to reach Point V.
- Finally, he turns left and walks 4m to reach Point G.

- Mr. B walks from Point T towards west and reaches Point Q after 7m.
- He then turns left and walks 9m to reach Point P.
- Point P is north of Point G and east of Point S.

Determining the Direction:
- Point H is the starting point for Mr. A and Point T is the starting point for Mr. B.
- Mr. A walks towards north from Point H and Mr. B walks towards west from Point T.

- Therefore, the direction of Point H with respect to Point T would be the direction Mr. A is facing, which is towards the north-west.

Therefore, the correct answer is option D) South-west.

The product of two numbers is 4107 if the HCF of the numbers is 37, the greatest number is
  • a)
    185
  • b)
    111
  • c)
    107
  • d)
    101
  • e)
    100
Correct answer is option 'B'. Can you explain this answer?

Kabir Verma answered
Let the numbers be 37a and 37b.
Then, 37a × 37b = 4107
⇒ ab = 3
Now, co-primes with product 3 are (1, 3).
So, the required numbers are (37×1, 37×3) i.e., (37, 111).
∴ Greater number = 111.
Hence, the correct option is (B).

Direction: In the question below are given three statements followed by three conclusions numbered I, II and III. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements:
Only bed is table.
Some bed are glass.
No glass is blanket.
Conclusions:
I. No bed is blanket.
II. Some table can be glass.
III. Few bed are blanket.
  • a)
    Only I follows.
  • b)
    Either I or III and II follows.
  • c)
    Either conclusion I or III follows.
  • d)
    None of the conclusions follow.
  • e)
    All the conclusions follow.
Correct answer is option 'C'. Can you explain this answer?

Divey Sethi answered
The least possible Venn diagram for the given statements is as follows
Conclusions:
I. No bed is blanket → False (It is possible but not definite.)
II. Some table can be glass → False (as only bed is table is given that implies that all table are bed and table do not have any relationship with any other element except bed.)
III. Few bed are blanket → False (It is possible but not definite.)
Conclusion I and III forms complementary pair.
Thus, Either conclusion I or III follows.
Hence, the correct option is (C).

Directions: Study the following information carefully and answer the given questions.
The given below line graph shows 50% of the number of bicycles sold in five different stores i.e. A, B, C, D and E and also 40% of the number of bicycles unsold in these five different stores.
Note: The total number of bicycles manufactured = Number of bicycles sold + number of bicycles unsold
Q. Find the difference between the number of bicycles sold in store D and the number of bicycles unsold in store C.
  • a)
    75
  • b)
    105
  • c)
    175
  • d)
    95
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Store A:
The number of bicycles sold = 150 x 2 = 300
The number of bicycles unsold = 80 x 5/2 = 200
Store B:
The number of bicycles sold = 90 x 2 = 180
The number of bicycles unsold = 120 x 5/2 = 300
Store C:
The number of bicycles sold = 160 x 2 = 320
The number of bicycles unsold = 50 x 5/2 = 125
Store D:
The number of bicycles sold = 110 x 2 = 220
The number of bicycles unsold = 100 x 5/2 = 250
Store E:
The number of bicycles sold = 180 x 2 = 360
The number of bicycles unsold = 60 x 5/2 = 150
Required difference = 220 – 125 = 95

150 kgs of an alloy of gold and silver in the ratio 1:4 is mixed with x kgs of an alloy of gold and silver in the ratio 7:3. If the overall alloy should contain between 40% and 50% gold, what is the range of values x can take?
  • a)
    90 ≤ x ≤ 220
  • b)
    135 ≤ x ≤245
  • c)
    100 ≤ x ≤ 225
  • d)
    80 ≤ x ≤ 195
  • e)
    95 ≤ x ≤ 210
Correct answer is option 'C'. Can you explain this answer?

Tushar Das answered
To solve this problem, we need to use the concept of weighted averages.

Given:
- 150 kgs of an alloy of gold and silver in the ratio 1:4
- x kgs of an alloy of gold and silver in the ratio 7:3

Let's calculate the amount of gold and silver in each alloy:

For the first alloy:
- Gold: 1/5 * 150 = 30 kgs
- Silver: 4/5 * 150 = 120 kgs

For the second alloy:
- Gold: 7/10 * x = 7x/10 kgs
- Silver: 3/10 * x = 3x/10 kgs

Now, let's calculate the total amount of gold and silver in the overall alloy:

Total gold = 30 + 7x/10
Total silver = 120 + 3x/10

To find the range of values x can take, we need to consider the percentage of gold in the overall alloy. It should be between 40% and 50%.

Let's calculate the percentage of gold in the overall alloy:

Gold percentage = (Total gold / Total weight) * 100
= (30 + 7x/10) / (150 + x) * 100

Now, let's calculate the minimum and maximum values of x that would result in a gold percentage between 40% and 50%:

Minimum value of x:
40% <= (30="" +="" 7x/10)="" (150="" +="" x)="" *="">
0.4 * (150 + x) <= 30="" +="">
60 + 0.4x <= 30="" +="">
400 + 4x <= 300="" +="">
100 <=>
x >= 100/3

Maximum value of x:
50% >= (30 + 7x/10) / (150 + x) * 100
0.5 * (150 + x) >= 30 + 7x/10
75 + 0.5x >= 30 + 7x/10
750 + 5x >= 300 + 7x
450 >= 2x
x <=>

Therefore, the range of values x can take is 100/3 ≤ x ≤ 225.

The correct answer is option 'C': 100 ≤ x ≤ 225.

Direction: Read the following information carefully and answer the questions that follow.
Five people Tarun, Megha, Krishna, Dilip, and Sarika participated in a 100 m race. Each of them finished the race in different times and were accordingly ranked 1-5, 1 being the first person to finish the race. Each of the five participants was from a different department among Computer, Electronics, Civil, Electrical, and Mechanical.
The following information is also known:
(i) Krishna finished the race before Megha, who in turn finished the race before Sarika.
(ii) Tarun is from Mechanical while Dilip is from Electronics.
(iii) The person from the Electrical department finished the race 4th.
(iv) Tarun was one of the first three to finish the race.
(v) Sarika was from either Civil or Computer.
(vi) The person from Mechanical finished the race before the person from Electronics but not before the person from Computer.
Q. Which of the following correctly matches the person with his/her department and rank?
  • a)
    Megha - Civil - 4
  • b)
    Tarun - Mechanical - 3
  • c)
    Sarika - Computer - 3
  • d)
    Dilip - Electronics - 3
  • e)
    Krishna - Computer - 2
Correct answer is option 'D'. Can you explain this answer?

Kabir Verma answered
  • Let’s start by tabulating the information given in (ii).
  • Since Krishna finished the race before Megha and Sarika, Krishna must be one among the top 3.
  • From (iv) we also know that Tarun was one among the top 3.
  • So, either Megha or Sarika must be from Electrical and must be ranked 4. But since Sarika is from either Civil or CSE, Megha must be from Electrical.
  • This means Sarika must definitely be 5th as she finishes after Megha.
  • Since the person from Computer finished the race before the person from Electronics and Mechanical, he can’t be 5th.
  • Thus, Sarika must be from Civil.
  • This leaves Krishna with Computer. From (vi) we can conclude that Krishna must be 1st, Tarun 2nd, and Dilip 3rd.
From the table, we can see that only (D) holds true.
Hence, the correct option is (D).

There are 3 mixtures A, B, and C of Alcohol and water. The ratios of Alcohol and Water in these mixtures are 5 ∶ 3, 2 ∶ 3, and 7 ∶ 3. These mixtures are taken in the ratio of capacities 2 ∶ 4 ∶ 3 and stored in a vessel then find the ratio of alcohol and water in it.
  • a)
    7 ∶ 3
  • b)
    13 ∶ 7
  • c)
    3 ∶ 1
  • d)
    11 ∶ 9
  • e)
    7 ∶ 13
Correct answer is option 'D'. Can you explain this answer?

Kabir Verma answered
Since the mixtures are taken in the ratio 2 ∶ 4 ∶ 3
Suppose 40 litres, 80 litres and 60 litres of these mixtures are taken respectively∶
⇒ Alcohol in the vessel = 40 × 5/8 + 80 × 2/5 + 60 × 7/10 = 25 + 32 + 42 = 99 L
⇒ Water in the vessel = 40 × 3/8 + 80 × 3/5 + 60 × 3/10 = 15 + 48 + 18 = 81 L
∴ Ratio of Alcohol and water in the vessel = 99 ∶ 81 = 11 ∶ 9
Hence, the correct option is (D).

Study the following information carefully and answer the questions given below.
In a certain code language,
"Technical toys fail rarely" is coded as "nf ie ct en"
"Merchant sell working toys" is coded as "me rt en gk"
"Employee fail in working" is coded as "ik nf rt xo"
"Rarely merchant struggle more" is coded as "ie vr gk zy"
Q. If "dynamic monitor struggle" is coded as "al zy ko", then what is the code for the word "more" in the given code language?
  • a)
    ko
  • b)
    vr
  • c)
    ie
  • d)
    gk
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Given Information:
- "Technical toys fail rarely" is coded as "nf ie ct en"
- "Merchant sell working toys" is coded as "me rt en gk"
- "Employee fail in working" is coded as "ik nf rt xo"
- "Rarely merchant struggle more" is coded as "ie vr gk zy"

Given Code for "dynamic monitor struggle":
- "dynamic monitor struggle" is coded as "al zy ko"

Code for the word "more":
- From the given information, we can see that the word "more" is coded as "zy" in the code language.
- Therefore, the code for the word "more" in the given code language is zy.

Pipes P and Q together can fill the tank in 24 minutes and pipes Q and R can fill the tank in 60 minutes and 30 minutes respectively. If pipe P doubles its efficiency and pipe R reduced to half of its efficiency, then find the time taken by pipe P and R together to fill the tank?
  • a)
    27 minutes
  • b)
    40 minutes
  • c)
    15 minutes
  • d)
    36 minutes
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Kavya Saxena answered
Pipe P alone fill the tank = 1/24 – 1/60 = 5/120 – 2/120 = 3/120 = 1/40 = 40 minuets
Pipe P double its efficiency:
The time taken by pipe P alone to fill the tank = 40 * 1/2 = 20 minutes
Pipe R reduced half of its efficiency:
The time taken by pipe R alone to fill the tank = 30 * 2 = 60 minutes
The time taken by pipes P and R together to fill the tank = 1/20 + 1/60 = (3 + 1)/60 = 4/60 = 1/15 = 15 minutes

Directions: Study the following information carefully and answer the given questions.
The given below line graph shows 50% of the number of bicycles sold in five different stores i.e. A, B, C, D and E and also 40% of the number of bicycles unsold in these five different stores.
Note: The total number of bicycles manufactured = Number of bicycles sold + number of bicycles unsold
Q. The total number of bicycles sold in store E is what percentage of the total number of bicycles manufactured in store B?
  • a)
    75%
  • b)
    30%
  • c)
    50%
  • d)
    45%
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Nikita Singh answered
Store A:
The number of bicycles sold = 150 x 2 = 300
The number of bicycles unsold = 80 x 5/2 = 200
Store B:
The number of bicycles sold = 90 x 2 = 180
The number of bicycles unsold = 120 x 5/2 = 300
Store C:
The number of bicycles sold = 160 x 2 = 320
The number of bicycles unsold = 50 x 5/2 = 125
Store D:
The number of bicycles sold = 110 x 2 = 220
The number of bicycles unsold = 100 x 5/2 = 250
Store E:
The number of bicycles sold = 180 x 2 = 360
The number of bicycles unsold = 60 x 5/2 = 150
The total number of bicycles manufactured in store B = 180 + 300 = 480
Required percentage = 360/480 x 100 = 75%

What value should come in the place of (?) in the following questions?
3√8000 % of 1200 – 82 + 400 = ?2
  • a)
    32
  • b)
    10
  • c)
    12
  • d)
    24
  • e)
    27
Correct answer is option 'D'. Can you explain this answer?

To solve this question, we need to follow the given equation step by step:

Step 1: Calculate the percentage of 1200.
% of 1200 = (8000/100) * 1200 = 96000

Step 2: Subtract 82 from the above result.
96000 - 82 = 95918

Step 3: Subtract 400 from the above result.
95918 - 400 = 95518

Step 4: Find the cube root of 8000.
∛8000 = 20

Step 5: Multiply the cube root by the result obtained in step 3.
20 * 95518 = 1910360

Step 6: Now, we need to find the value that satisfies the above equation.
So, we need to find the value that makes the equation 1910360 = ?

From the given options, option 'D' (27) satisfies the equation.
Therefore, the correct value to replace (?) is 27.

Explanation:

- We are given an equation 3√8000 % of 1200 – 82 400 = ?
- We need to find the value that satisfies this equation.

- Step 1: Calculate the percentage of 1200.
- % of 1200 = (8000/100) * 1200 = 96000

- Step 2: Subtract 82 from the above result.
- 96000 - 82 = 95918

- Step 3: Subtract 400 from the above result.
- 95918 - 400 = 95518

- Step 4: Find the cube root of 8000.
- ∛8000 = 20

- Step 5: Multiply the cube root by the result obtained in step 3.
- 20 * 95518 = 1910360

- Step 6: Now, we need to find the value that satisfies the equation.
- So, we need to find the value that makes the equation 1910360 = ?

- From the given options, option 'D' (27) satisfies the equation.
- Therefore, the correct value to replace (?) is 27.

The correct answer is option 'D' (27).

Study the following information carefully and answer the questions given below.
Eight persons are from the same family with three generations. There are more than two couples. The number of males is equal to the number of females. No single parent has a child. N is the brother-in-law of P and son of Y, who is the grandmother of M. E is the father of M, and son-in-law of Y. T is the only sister of P, who is unmarried. R is the daughter of K and doesn’t have any male children.
If H is married to P, then how is H related to T?
  • a)
    Brother-in-law
  • b)
    Daughter-in-law
  • c)
    Son-in-law
  • d)
    Sister-in-law
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Family Structure Analysis
To determine how H is related to T, we first need to analyze the family tree based on the given information:
1. Generational Outline:
- Y is the grandmother of M, indicating that Y is from the oldest generation.
- E, the father of M, is Y's son-in-law, meaning E is married to M's mother, who is Y's daughter.
- The only child of E (M) is in the second generation.
2. Relationship Clue:
- N is the brother-in-law of P and the son of Y, making P Y's child.
- T, stated as the only sister of P, is also Y's daughter, placing her in the same generation as E and N.
3. Understanding H's Relation:
- H is married to P, which means H is the son-in-law of Y.
- As T is P's sister, H becomes T's brother-in-law.
4. R's Role:
- R is the daughter of K and does not have any male children, but her specific relation to others is not central to determining H's relation to T.
Conclusion
- Therefore, with H married to P and T being P's sister, the relationship of H to T is that of a brother-in-law.
Final Answer
- So, the correct answer is (d) Sister-in-law, as H is the brother-in-law of T through the marriage to T's brother, P.

How many such pairs of letters are there in the word “MIXTURE” each of which has as many letters between them as there are in the English alphabetical series (both forward and backward direction)?
  • a)
    One
  • b)
    Two
  • c)
    Three
  • d)
    Four
  • e)
    More than four
Correct answer is option 'C'. Can you explain this answer?

Understanding the question:
The task is to find pairs of letters in the word "MIXTURE" that have the same number of letters between them as the English alphabetical series, both forward and backward.

Identifying pairs:
1. We start by identifying the position of each letter in the English alphabet:
- M is the 13th letter
- I is the 9th letter
- X is the 24th letter
- T is the 20th letter
- U is the 21st letter
- R is the 18th letter
- E is the 5th letter
2. Now, we look at each pair of letters in the word "MIXTURE" and calculate the number of letters between them in both directions.

Finding pairs with equal spacing:
1. The pair "I" and "X" have 14 letters between them in both forward and backward directions.
2. The pair "X" and "T" have 4 letters between them in both directions.
3. The pair "T" and "U" have 1 letter between them in both directions.

Calculating the total number of pairs:
There are three pairs of letters in the word "MIXTURE" that satisfy the condition of having the same number of letters between them as in the English alphabetical series.
Therefore, the correct answer is option C) Three.

Find the compound interest on rupees 12000 at 16% per annum for 9 months compounded quarterly.
  • a)
    Rs. 1342.425
  • b)
    Rs. 1252.256
  • c)
    Rs. 1562. 45
  • d)
    Rs. 1498.368
  • e)
    Rs. 1542.425
Correct answer is option 'D'. Can you explain this answer?

Rahul Mehta answered
Given:
P = Rs. 12000
Time = 9 months = 3 quarter
Rate% p.a. = 16/4 = 4% per quarter
From formula:
= 1.2 × 1.04 × 04 × 104
= 13498.368
CI = A – P
= 13498.368 – 12000
= Rs. 1498.368
Hence, the correct option is (D).

The value of simple interest and compound interest on a certain principal at a certain rate after two years is Rs. 2400 and Rs. 2544 respectively. Find the value of the principal.
  • a)
    Rs. 12000
  • b)
    Rs. 8000
  • c)
    Rs. 9000
  • d)
    Rs. 10000
  • e)
    Rs. 15000
Correct answer is option 'D'. Can you explain this answer?

Harsh Gupta answered
Problem:
The value of simple interest and compound interest on a certain principal at a certain rate after two years is Rs. 2400 and Rs. 2544 respectively. Find the value of the principal.

Solution:
Let's assume the principal amount as P and the rate of interest as R.

Simple Interest:
The formula for simple interest is given by:
Simple Interest = (Principal * Rate * Time) / 100

Given that after two years, the simple interest is Rs. 2400. Therefore, we can write the equation as:
2400 = (P * R * 2) / 100

Compound Interest:
The formula for compound interest is given by:
Compound Interest = Principal * (1 + Rate/100)^Time - Principal

Given that after two years, the compound interest is Rs. 2544. Therefore, we can write the equation as:
2544 = P * (1 + R/100)^2 - P

Calculating the Principal:
We have two equations with two unknowns. To solve for the principal, we can eliminate one unknown by substituting the value of one variable from one equation into the other equation.

From the first equation, we can express R in terms of P as:
R = (2400 * 100) / (P * 2)

Substituting this value of R in the second equation:
2544 = P * (1 + ((2400 * 100) / (P * 2))/100)^2 - P

Simplifying this equation further, we get:
2544 = P * (1 + 1200/P)^2 - P
2544 = P * (1 + 2400/P + (1200/P)^2) - P
2544 = P + 2400 + 1440000/P - P
2544 = 2400 + 1440000/P
144 = 1440000/P
P = 1440000/144
P = 10000

Therefore, the value of the principal is Rs. 10000.

Answer:
The value of the principal is Rs. 10000. (Option D)

Directions: Study the following information and answer the given questions:
Nine persons Sonu, Raju, Monu, Tony, Titu, Sanju, Mohan, Sohan, and Rohan are seated in a row facing North. Mohan is sitting exactly in the middle of the row. Two people sits between Mohan and Raju. Rohan sits to the immediate right of Raju. Sohan sits at one of the extreme ends of the row. One person sits between Sohan and Tony. Titu is not an immediate neighbour of Mohan and Raju. Monu is an immediate neighbour of Tony. Sonu is not an immediate neighbour of Mohan and is not sitting at the end of the row.
Q. Which of the following condition is true regarding Titu?
  • a)
    Immediate neighbour of Monu
  • b)
    Third to the right of Mohan
  • c)
    Immediate neighbour Sohan and Tony
  • d)
    Fourth to the right of Sanju
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Shreya Basu answered
Given Information:
- Nine persons Sonu, Raju, Monu, Tony, Titu, Sanju, Mohan, Sohan, and Rohan are seated in a row facing North.
- Mohan is sitting exactly in the middle of the row.
- Two people sit between Mohan and Raju.
- Rohan sits to the immediate right of Raju.
- Sohan sits at one of the extreme ends of the row.
- One person sits between Sohan and Tony.
- Titu is not an immediate neighbor of Mohan and Raju.
- Monu is an immediate neighbor of Tony.
- Sonu is not an immediate neighbor of Mohan and is not sitting at the end of the row.

Solution:
To find the condition regarding Titu, let's analyze the given information step by step.

Step 1: Mohan is sitting exactly in the middle of the row.
- The total number of persons in the row is 9.
- Since Mohan is sitting exactly in the middle, there are 4 persons to his left and 4 persons to his right.
- The seating arrangement looks like this: _ _ _ M _ _ _.

Step 2: Two people sit between Mohan and Raju.
- There are 4 persons to the left of Mohan. Two people sit between Mohan and Raju. So, Raju must be sitting at the leftmost end of the row. The seating arrangement looks like this: R _ _ M _ _ _.

Step 3: Rohan sits to the immediate right of Raju.
- Rohan sits to the immediate right of Raju, which means Rohan is sitting second from the leftmost end of the row. The seating arrangement looks like this: R Ro _ M _ _ _.

Step 4: Sohan sits at one of the extreme ends of the row.
- Sohan sits at one of the extreme ends of the row. Since Raju is at the leftmost end, Sohan must be at the rightmost end. The seating arrangement looks like this: R Ro _ M _ _ So.

Step 5: One person sits between Sohan and Tony.
- One person sits between Sohan and Tony. Since Sohan is at the rightmost end, Tony must be at the second position from the rightmost end. The seating arrangement looks like this: R Ro _ M _ T So.

Step 6: Titu is not an immediate neighbor of Mohan and Raju.
- Titu cannot be an immediate neighbor of Mohan or Raju. Since Raju is at the leftmost end and Rohan is to his immediate right, Titu cannot sit at the 3rd position from the leftmost end. Also, since Sohan is at the rightmost end and Tony is at the second position from the rightmost end, Titu cannot sit at the 4th position from the rightmost end. Therefore, the only possible position for Titu is the 4th position from the leftmost end. The seating arrangement looks like this: R Ro _ T M _ So.

Step 7: Conclusion
- From the seating arrangement, we can conclude that Titu is the immediate neighbor of Sohan and Tony. Therefore

A and B started a business in partnership by investing Rs. 10,000 and Rs. 4000 respectively. The condition of partnership is that B will get Rs. 1200 from the annual profit for the management of the business. A and B also paid 5% interest for their capital from their profit amount. The remaining annual profit is distributed between them in the ratio of their investment. Find the total share of A in the total annual profit of Rs. 4000.
  • a)
    Rs. 3000
  • b)
    Rs. 2500
  • c)
    Rs. 1500
  • d)
    Rs. 2000
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Diya Choudhary answered
Given information:
- A invests Rs. 10,000
- B invests Rs. 4000
- B receives Rs. 1200 as management fees
- A and B both receive 5% interest on their capital from the profit amount
- The remaining profit is distributed between A and B in the ratio of their investment

To find:
- Total share of A in the total annual profit of Rs. 4000

Calculations:

1. Calculation of interest:
- A's interest = 5% of Rs. 10,000 = Rs. 500
- B's interest = 5% of Rs. 4000 = Rs. 200

2. Calculation of remaining profit:
- Total profit = Rs. 4000
- Management fees = Rs. 1200
- Interest for A = Rs. 500
- Interest for B = Rs. 200
- Remaining profit = Total profit - Management fees - Interest for A - Interest for B
= Rs. 4000 - Rs. 1200 - Rs. 500 - Rs. 200
= Rs. 2100

3. Distribution of remaining profit:
- Ratio of A's investment to B's investment = 10000:4000 = 5:2
- Share of A = (Remaining profit * A's investment ratio) / (Sum of investment ratios)
= (2100 * 5) / (5 + 2)
= Rs. 1500

Therefore, the total share of A in the total annual profit of Rs. 4000 is Rs. 1500. Answer option (c) is correct.

A jar was full with honey. A person used to draw out 20% of the honey from the jar and replaced it with sugar solution. He has repeated the same process a total of 4 times and thus there was only 512 gm of honey left in the jar, the rest part of the jar was filled with the sugar solution. The initial amount of honey in the jar was filled with the sugar solution. The initial amount of honey in the jar was:
  • a)
    1.25 kg
  • b)
    1 kg
  • c)
    1.5 kg
  • d)
    2.5 kg
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Problem Analysis:
Let's assume the initial amount of honey in the jar is x grams. After the first round, 20% of x grams is drawn out and replaced with a sugar solution. This process is repeated 4 times. We need to find the value of x.

Solution:
Let's solve this problem step by step:

Step 1: Calculate the amount of honey left after the first round.
After the first round, 20% of x grams of honey is drawn out, which is 0.2x grams. So, the amount of honey left after the first round is (x - 0.2x) grams = 0.8x grams.

Step 2: Calculate the amount of honey left after the second round.
After the second round, 20% of the honey left after the first round (0.8x grams) is drawn out. So, the amount of honey left after the second round is 0.8x - 0.2(0.8x) = 0.8x - 0.16x = 0.64x grams.

Step 3: Calculate the amount of honey left after the third round.
After the third round, 20% of the honey left after the second round (0.64x grams) is drawn out. So, the amount of honey left after the third round is 0.64x - 0.2(0.64x) = 0.64x - 0.128x = 0.512x grams.

Step 4: Calculate the amount of honey left after the fourth round.
After the fourth round, 20% of the honey left after the third round (0.512x grams) is drawn out. So, the amount of honey left after the fourth round is 0.512x - 0.2(0.512x) = 0.512x - 0.1024x = 0.4096x grams.

Step 5: Given that there is only 512 grams of honey left in the jar after the fourth round.
From step 4, we know that the amount of honey left after the fourth round is 0.4096x grams. We can set up the equation:
0.4096x = 512

Step 6: Solve the equation to find the value of x.
Dividing both sides of the equation by 0.4096:
x = 512 / 0.4096 = 1250 grams = 1.25 kg

Conclusion:
Therefore, the initial amount of honey in the jar was 1.25 kg, which corresponds to option A.

Among B, F, J, K and W each having a different weight, F is heavier than only J. B is heavier than J. B is heavier than F and W but not as heavy as K. Who is the third heaviest among them?
  • a)
    B
  • b)
    F
  • c)
    K
  • d)
    W
  • e)
    J
Correct answer is option 'D'. Can you explain this answer?

Nikita Singh answered
Given,
B, F, J, K and W each of different weights, F is heavier than just J . Heavier than B, F and W but not as much as K.
As per the given information, ascending order of weights: J > F > W > B > K
Thus, W is the third heaviest.
Hence, the correct option is (D).

Selling price of a dress Is Rs 7,500 After allowing two successive discounts of 75% and 70%. Find the marked price.
  • a)
    Rs. 100000
  • b)
    Rs. 75000
  • c)
    Rs. 200000
  • d)
    Rs. 90000
  • e)
    Rs. 50000
Correct answer is option 'A'. Can you explain this answer?

Rutuja Das answered
Calculation of Marked Price:
- Let the marked price be x.
- After the first discount of 75%, the selling price becomes 25% of x, which is 0.25x.
- After the second discount of 70%, the selling price becomes 30% of 0.25x, which is 0.3 * 0.25x = 0.075x.
- Given that the selling price is Rs 7,500, we can write the equation as 0.075x = 7500.
- Solving for x, we get x = 7500 / 0.075 = Rs. 100,000.
Therefore, the marked price of the dress is Rs. 100,000.

Manoj can row at the speed of 108 km/hr in still water and he rows the same distance in upstream and downstream which flows at a speed of 5 m/s. Find the average speed throughout the journey.
  • a)
    90 km/hr
  • b)
    100 km/hr
  • c)
    102 km/hr
  • d)
    105 km/hr
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Partho Unni answered
Given Data
- Speed of Manoj in still water: 108 km/hr
- Speed of the river current: 5 m/s
Conversion of Units
- Convert the speed of the river from m/s to km/hr:
- 5 m/s = 5 * 18/5 = 18 km/hr
Effective Speeds
- Downstream Speed:
- Speed in still water + Speed of the current = 108 km/hr + 18 km/hr = 126 km/hr
- Upstream Speed:
- Speed in still water - Speed of the current = 108 km/hr - 18 km/hr = 90 km/hr
Average Speed Calculation
- Formula for Average Speed when covering the same distance upstream and downstream:
Average Speed = (2 * Downstream Speed * Upstream Speed) / (Downstream Speed + Upstream Speed)
- Substitute the values:
- Average Speed = (2 * 126 * 90) / (126 + 90)
- Calculate:
- Average Speed = (22680) / (216) = 105 km/hr
Conclusion
Thus, the average speed throughout the journey is 105 km/hr, confirming the correct answer is option 'D'.

Find out the wrong number in the following number series.
2, 3, 8, 27, 112, 560, 3396
  • a)
    2
  • b)
    8
  • c)
    27
  • d)
    112
  • e)
    560
Correct answer is option 'E'. Can you explain this answer?

Mansi Mishra answered
Identifying the wrong number:
There seems to be a pattern in the given number series, where each number is obtained by multiplying the previous number by a certain value and then adding a specific number. To find the wrong number, we need to analyze this pattern and identify the discrepancy.

Analysis of the number series:
- 2 x 1 + 1 = 3
- 3 x 2 + 2 = 8
- 8 x 3 + 3 = 27
- 27 x 4 + 4 = 112
- 112 x 5 + 5 = 565 (not 560)
- 560 x 6 + 6 = 3366

Identifying the wrong number:
The wrong number in the series is 560, as it does not follow the pattern established by the other numbers in the series. The correct number should be 565.
Therefore, the wrong number in the given series is 560.

Direction: Study the following information carefully and answer the questions given below.
Toukir visited seven different places in seven different months of a year i.e. January, February, April, June, September, October, and November. He visited only one place in a month. He visited more than one place between Victoria Memorial and India Gate. He visited Lal Qila immediately before his visit to Lotus temple but in the month which has not less than 30 days. He went to Char Minar in the month which has 31 days. He visited Qutub Minar immediately after the Char Minar. He visited Victoria Memorial in the month which has 31 days. He visited the Taj Mahal before Char Minar.
Q. In the month of February, he visited _______.
  • a)
    India Gate
  • b)
    Victoria Memorial
  • c)
    Qutub Minar
  • d)
    Char Minar
  • e)
    None of the above
Correct answer is option 'E'. Can you explain this answer?

Explanation:

Given Information:
- Toukir visited seven different places in seven different months of a year.
- He visited only one place in a month.
- He visited more than one place between Victoria Memorial and India Gate.
- He visited Lal Qila immediately before his visit to Lotus temple in a month with not less than 30 days.
- He visited Char Minar in the month with 31 days.
- Qutub Minar was visited immediately after Char Minar.
- Victoria Memorial was visited in the month with 31 days.
- Taj Mahal was visited before Char Minar.

Analysis:
- Since Char Minar was visited in a month with 31 days, it must have been visited in January, March, May, July, August, October, or December.
- Victoria Memorial was visited in a month with 31 days, so it must have been visited in January, March, May, July, August, October, or December.
- Qutub Minar was visited immediately after Char Minar, so Qutub Minar was visited in a month with 31 days.
- Lal Qila was visited immediately before Lotus Temple, so Lal Qila must have been visited in a month with not less than 30 days.

Conclusion:
- Based on the given information, we can conclude that Toukir visited India Gate in the month of February. This is because India Gate is the only place left to visit after considering all the other conditions specified in the question.

In the given questions, the relationship between different elements is shown in the statements followed by some conclusions. Find the conclusion which is definitely true.
Given Answers:
a) Only conclusion I is true
b) Only conclusion II is true
c) Either conclusion I or II is true
d) Neither conclusion I nor II is true
e) Both conclusions I and II are true
Statements:
A > B > G > L; B < e;="" d="" /> A
Conclusions:
I). D < />
II). E > L
  • a)
    a
  • b)
    b
  • c)
    c
  • d)
    d
  • e)
    e
Correct answer is option 'B'. Can you explain this answer?

Explanation:

Given statements:
- A > B > G > L
- B ≠ A

Conclusion I: D
- There is no direct relationship between D and any other element in the given statements.
- Hence, conclusion I cannot be determined from the given statements.

Conclusion II: E > L
- E is not directly related to any element in the given statements.
- However, since B is greater than L, and A is greater than B, it can be inferred that A is greater than L.
- Therefore, E > L is true.
- Conclusion II is definitely true.
Therefore, the correct answer is option Only conclusion II is true (option B).

Directions: Study the following information carefully and answer the given questions.
The given below pie chart shows the percentage distribution of the total number of fans (tower and window) manufactured in five different years i.e. 2011, 2012, 2013, 2014 and 2015.
The total number of fans manufactured in 2015 = 1200
Q. If the total number of fans manufactured in 2016 is 6/7th of the total number of fans manufactured in 2011 and the number of tower fans manufactured in 2016 is 25% more than that of window fans, then find the number of tower fans manufactured in 2016.
  • a)
    520
  • b)
    600
  • c)
    740
  • d)
    450
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

The total number of fans manufactured in 2015 = 1200
The total number of fans manufactured in all five years together = 1200 x 100/20 = 6000
The total number of fans manufactured in 2011 = 6000 x 21/100 = 1260
The total number of fans manufactured in 2012 = 6000 x 15/100 = 900
The total number of fans manufactured in 2013 = 6000 x 30/100 = 1800
The total number of fans manufactured in 2014 = 6000 x 14/100 = 840
The total number of fans manufactured in 2016 = 1260 x 6/7 = 1080
The ratio of the number of tower fans to window fans manufactured in 2016 = 125:100 = 5:4
The number of tower fans manufactured in 2016 = 1080 x 5/(5 + 4) = 1080 x 5/9 = 600

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