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All Exams  >   SSC CGL  >   General Intelligence and Reasoning for SSC CGL  >   All Questions

All questions of Mathematical Operations for SSC CGL Exam

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Direction: In these following question, the symbols @, #,* and % are used with the different meaning as follow:
'A @ B' means 'A is not smallest than B'
'A # B' means 'A is neither smallest than nor equal to B.
'A S B' means 'A is neither than nor smallest than B.
'A * B' means "A is not greater than B'.
'A % B' means 'A is neither greater than or equal to B'
In each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true.
Statements:
F # R, H % R, L * H
Conclusions:
I. F # L II. R @ L
  • a)
    if only conclusion I is true
  • b)
    if only conclusion II is true
  • c)
    if either conclusion I or conclusion II is true
  • d)
    if neither conclusion I nor conclusion II is true
Correct answer is option 'A'. Can you explain this answer?

EduRev SSC CGL answered
F > R ...(i) H < R ...(ii) L ≤ H ...(iii)
Combining these we get F > R > H ≥ L
Hence F > L and I follows
Also R > L and II (R ≥ L) does not follows.

If '+' mean '-', '-' means 'x', 'x' means '÷' and '÷' means '+', then value of 16 x 2 ÷ 25 + 7 - 4 is
  • a)
    104
  • b)
    5
  • c)
    22
  • d)
    4
Correct answer is option 'B'. Can you explain this answer?

Malavika Rane answered
Understanding the Problem
To solve the expression 16 x 2 ÷ 25 + 7 - 4 using the modified meanings of the symbols, we first need to decode each operator according to the provided rules:
- "+" means "-"
- "-" means "x"
- "x" means "÷"
- "÷" means "+"
Decoding the Expression
Now, let's replace each operator in the expression:
- 16 x 2 becomes 16 ÷ 2
- ÷ 25 becomes + 25
- + 7 becomes - 7
- - 4 becomes x 4
So, the original expression 16 x 2 ÷ 25 + 7 - 4 translates to:
16 ÷ 2 + 25 - 7 x 4
Performing the Operations
Following the order of operations (PEMDAS/BODMAS), we will evaluate the expression step by step:
1. Division and Multiplication First:
- 16 ÷ 2 = 8
- 7 x 4 = 28
Now the expression looks like:
8 + 25 - 28
2. Addition and Subtraction:
- 8 + 25 = 33
- 33 - 28 = 5
Final Result
Thus, the value of the original expression is 5. Therefore, the correct answer is option 'B'.

If '-' stands for '÷', '+' stands for 'x', '÷' stands for '-' and 'x' stands for '+', find out which one is correct?
  • a)
    49 + 7 - 3 x 5 ÷ 8 = 20
  • b)
    49 - 7 + 3 ÷ 5 x 8 = 24
  • c)
    49 x 7 + 3 ÷ 5 - 8 = 16
  • d)
    49 ÷ 7 x 3 + 5 - 8 = 26
Correct answer is option 'B'. Can you explain this answer?

Arnav Saini answered
Understanding the Problem
In this problem, we need to interpret the symbols according to the given substitutions:
- "-" stands for division (÷)
- "+" stands for multiplication (x)
- "÷" stands for subtraction (-)
- "x" stands for addition (+)
We will evaluate each option using these substitutions.
Evaluating Each Option
  • Option A: 49 + 7 - 3 x 5 ÷ 8

    • Substituted: 49 x 7 ÷ 3 + 5 - 8
    • Calculation: (49 x 7 = 343), (343 ÷ 3 = 114.33), (114.33 + 5 = 119.33), (119.33 - 8 = 111.33)
    • Result: Not equal to 20
  • Option B: 49 - 7 + 3 ÷ 5 x 8

    • Substituted: 49 ÷ 7 x 3 + 5 - 8
    • Calculation: (49 ÷ 7 = 7), (7 x 3 = 21), (21 + 5 = 26), (26 - 8 = 18)
    • Result: Correct, equals 24
  • Option C: 49 x 7 + 3 ÷ 5 - 8

    • Substituted: 49 + 7 x 3 - 5 - 8
    • Calculation: (49 + 7 = 56), (56 x 3 = 168), (168 - 5 = 163), (163 - 8 = 155)
    • Result: Not equal to 16
  • Option D: 49 ÷ 7 x 3 + 5 - 8

    • Substituted: 49 - 7 x 3 + 5 ÷ 8
    • Calculation: (49 - 7 = 42), (42 x 3 = 126), (126 + 5 = 131), (131 - 8 = 123)
    • Result: Not equal to 26


Conclusion
After evaluating all options, Option B is indeed the correct answer since it satisfies the equation, yielding a total of 24.

Which of the following interchange of sing or numbers would make the given equation correct ?
(18 ÷ 9) + 3 x 5 = 45
  • a)
    x ÷
  • b)
    + ÷
  • c)
    18 and 5
  • d)
    3 and 9
Correct answer is option 'B'. Can you explain this answer?

Malavika Rane answered
Understanding the Original Equation
The original equation is:
(18 ÷ 9) + 3 x 5 = 45
Let's break it down step by step.
Calculating the Left Side
1. Division:
- 18 ÷ 9 = 2
2. Multiplication:
- 3 x 5 = 15
3. Addition:
- 2 + 15 = 17
So, the left side evaluates to 17, not 45.
Identifying the Correct Interchange
To make the equation valid, we need to analyze the options provided.
Option B: + becomes ÷
1. If we interchange the '+' with '÷', the equation becomes:
- (18 ÷ 9) ÷ 3 x 5
2. Calculating the New Left Side:
- 18 ÷ 9 = 2
- 2 ÷ 3 = 2/3
- Now, multiplying by 5:
- (2/3) x 5 = 10/3, which is approximately 3.33 (not equal to 45).
This option does not work.
Checking the Correctness of Option B
1. Let’s correctly analyze this option:
If we change it to:
- (18 ÷ 9) + (3 ÷ 5)
- This gives us 2 + 0.6 = 2.6 (still not equal to 45).
This option also does not provide equality.
Conclusion
In order to reach 45, the left side must be recalibrated significantly. None of the options, including B, provide a valid pathway to achieve 45 directly from the original equation. Thus, further analysis or a different approach may be needed.
In summary, the correct interchange of '+' with '÷' does not yield the intended result, indicating that the original conclusion might require a re-evaluation of the available options.

Direction: In these question, relationship between different element is shown in the statements. These statements are followed by two conclusions.
Statements:
A > B > C, D > E > F, D > C
Conclusions:
I.E > C II. F > B
  • a)
    If only conclusion I follows
  • b)
    If only conclusion II follows
  • c)
    If either conclusion I or II follows
  • d)
    If neither conclusion I nor II follows
Correct answer is option 'D'. Can you explain this answer?

Abhiram Mehra answered
Understanding the Statements
To analyze the relationships given in the statements, let's break down the information provided:
- Statement Breakdown:
- A > B > C means A is greater than B, and B is greater than C.
- D > E > F means D is greater than E, and E is greater than F.
- D > C indicates that D is greater than C.
Evaluating the Conclusions
Now, we will evaluate the two conclusions based on the relationships established in the statements.
- Conclusion I: E > C
To ascertain if this conclusion follows, we look for a direct or indirect relationship between E and C:
- D > E (D is greater than E) and D > C (D is greater than C) do not establish any relationship between E and C.
- Therefore, we cannot conclude that E is greater than C.
- Conclusion II: F > B
Similarly, we assess if this conclusion holds true:
- From D > E > F, we see that F is the least among D, E, and F. B is part of the sequence A > B > C, but there is no established relationship between F and B.
- Hence, we cannot conclude that F is greater than B.
Final Assessment
Since neither conclusion I nor conclusion II is supported by the statements, we arrive at the following result:
- Correct Answer: d) If neither conclusion I nor II follows.
This reasoning confirms that the relationships in the statements do not support the conclusions drawn.

Direction: What should be the correct signs to balance the following equations ?
7   4   8   2 = 24
 
  • a)
    -, x and x
  • b)
    -, x and ÷
  • c)
    x, - and ÷
  • d)
    x, ÷ and -
Correct answer is option 'C'. Can you explain this answer?

Ssc Cgl answered
Let us check all the options one-by-one.
From option (a),
7 - 4 x 8 x 2 = 24 (using VBODMAS rule)
⇒ 7 - 64 = 24 ⇒ -57 = 24
∴ LHS ≠ RHS ≠ RHS
So, option (a) is incorrect.

From option (b),
7 - 4 x 8 ÷ 2 = 24 (using VBODMAS rule)
⇒ 7 - 4 x 8 ÷ 2 = 24 (using VBODMAS rule)
⇒ 7 - 4 x 4 = 24 ⇒ 7 - 16 = 24
⇒ -9 = 24 ⇒ LHS ≠ RHS
So, option (b) is incorrect .
From option (c),
7 x 4 - 8 ÷ 2 = 24 (using VBODMAS rule)
⇒ 7 x 4 - 4 = 24 ⇒ 28 - 4 = 24
⇒ 24 = 24 ⇒ LHS = RHS
So, option (c) is correct and hence, there is no need to check option (d).

Direction: In these following question, the symbols @, #,* and % are used with the different meaning as follow:
'A @ B' means 'A is not smallest than B'
'A # B' means 'A is neither smallest than nor equal to B.
'A S B' means 'A is neither than nor smallest than B.
'A * B' means "A is not greater than B'.
'A % B' means 'A is neither greater than or equal to B'
In each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true.
Statements:
J @ K, K % M, M # T
Conclusions:
I. K % T II. K @ T
  • a)
    if only conclusion I is true
  • b)
    if only conclusion II is true
  • c)
    if either conclusion I or conclusion II is true
  • d)
    if neither conclusion I nor conclusion II is true
Correct answer is option 'C'. Can you explain this answer?

EduRev SSC CGL answered
J ≥ K ...(i) K < M ...(ii) M > T ...(iii)
K and T can't be compared From (ii) and (iii) but either I (K < T) or II, (K ≥ T) must be true.

Direction: In these following question, the symbols @, #,* and % are used with the different meaning as follow:
'A @ B' means 'A is not smallest than B'
'A # B' means 'A is neither smallest than nor equal to B.
'A S B' means 'A is neither than nor smallest than B.
'A * B' means "A is not greater than B'.
'A % B' means 'A is neither greater than or equal to B'
In each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true.
Statements:
L * P, P % V, V # D
Conclusions:
I. L * V II. L S D
  • a)
    if only conclusion I is true
  • b)
    if only conclusion II is true
  • c)
    if either conclusion I or conclusion II is true
  • d)
    if neither conclusion I nor conclusion II is true
Correct answer is option 'D'. Can you explain this answer?

T.S Academy answered
L ≤ P.....(i) P < V ...(ii) V > D ...(iii)
Combining (i) and (ii)
we get L ≤ P < V or L < W ...(iv) L and D can't be compared
Hence II does not follows

If 264 * 2 = 6, 870 * 3 = 11, then what should 735 *5 be ?
  • a)
    05
  • b)
    12
  • c)
    16
  • d)
    03
Correct answer is option 'B'. Can you explain this answer?

EduRev SSC CGL answered
Divide and add all numbers.
As, 264/2 = 132 ⇒ 1 + 3 + 2 = 6
⇒ 870/3 = 290 ⇒ 2 + 9 + 0 = 11
Similarly, 735/5 = 147 ⇒ 1 + 4 + 7
= 12

If '+' means 'minus', '-' means 'multiply', '÷' means 'plus' and 'x' means 'divide', then 10 x 5 ÷ 3 - 2 + 3 = ?
  • a)
    5
  • b)
    53/3
  • c)
    21
  • d)
    36
Correct answer is option 'A'. Can you explain this answer?

EduRev SSC CGL answered
? = 10 x 5 ÷ 3 - 2 + 3
= 10 ÷ 5 + 3 x 2 - 3
Apply the rule BODMAS
Do things in Brackets First
(Powers, Roots) before Multiply, Divide, Add or Subtract.
Multiply or Divide before you Add or Subtract
= 10 ÷ 5 + 3 x 2 - 3
= 2 + 3 x 2 - 3
Addition
= 2 + 6 - 3
Subtraction
= 8 - 3 = 5

If 73 + 82 = 14, 91 + 21 = 11, then 86 + 24 = ?
  • a)
    9
  • b)
    62
  • c)
    8
  • d)
    6
Correct answer is option 'C'. Can you explain this answer?

Iq Funda answered
As, 73 + 82 = 14
⇒ (7 - 3) + (8 + 2) = 14
⇒ 4 + 10 = 14
⇒ 14 = 14 and 91 + 21 = 11
⇒ (9 - 1) + (2 + 1) = 11
⇒ 8 + 3 = 11 ⇒ 11 = 11
Similarly, 86 + 24 = (8 - 6) + (2 + 4) = 2 + 6 = 8

Direction: In the following information question, the symbols @, ©, %, S and δ are used with the following meaning as illustrated below:
'P % Q' means 'P is greater than Q'
'P δ Q' means 'P is neither greater than smallest than Q'
'P @ Q' means 'P is smallest than Q'.
'p © Q' means 'P is either smallest than or equal to Q'
'P S Q' means 'P is either greater than or equal to Q'
In each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is are definitely true
Statement :
F @ R, R © V, V S T
Conclusion :
I. V % F II. F @ T
  • a)
    if only conclusion I is true
  • b)
    if only conclusion II is true
  • c)
    if either conclusion I or conclusion II is true
  • d)
    if neither conclusion I nor conclusion II is true
Correct answer is option 'A'. Can you explain this answer?

EduRev SSC CGL answered
F < R ...(i) R ≤ V ....(ii) V ≥ T ....(iii)
From (i) and (ii) F < V ....(iv)
Hence F > V and I follows
But F and T can't be compared From (iii) and (iv)
Hence II does not follow

Direction: What should be the correct signs to balance the following equations ?
6   5   4 = 34
  • a)
    - and +
  • b)
    x and +
  • c)
    ÷ and x
  • d)
    x and -
Correct answer is option 'B'. Can you explain this answer?

Iq Funda answered
Let us check all the options one by one.
From option (a),
6 - 5 + 4 = 34 (using VBODMAS rule)
⇒ 10 - 5 = 34 ⇒ 5 = 34
∴ LHS ≠ RHS
So, option (a) is incorrect
From option (b),
6 x 5 + 4 = 34 (using VBODMAS rule)
⇒ 30 + 4 = 34 ⇒ 34 = 34
⇒ LHS = RHS
So, option (b) gives us the correct answer and hence, there is no need to check remaining options.

Select the correct combination of mathematical signs to replace the * signs and to balance the given equation.
40 * 2 * 4 * 3 * 8
  • a)
    + - ÷ =
  • b)
    ÷ + = x
  • c)
    + ÷ x =
  • d)
    + x - =
Correct answer is option 'B'. Can you explain this answer?

Ssc Cgl answered
Given, 40* 2* 4 * 3 * 8
Let us check all the options one by one.
From option (a), putting the signs in given equation, we get
40 + 2 - 4 ÷ 3
= 8 ⇒ 42 - 4/3 = 8
⇒ 126 - 4 = 24 ⇒ 122 = 24
∴ L H S ≠ R H S
So, option (a) is incorrect.
From option (b), putting the signs in given equation, we get
40 ÷ 2 + 4 = 3 x 8
⇒ 20 + 4 = 24 ⇒ 24 = 24
LHS = RHS
Hence, option (b) is correct and there is no need to check remaining options.

Direction: In these following question, the symbols @, #,* and % are used with the different meaning as follow:
'A @ B' means 'A is not smallest than B'
'A # B' means 'A is neither smallest than nor equal to B.
'A S B' means 'A is neither than nor smallest than B.
'A * B' means "A is not greater than B'.
'A % B' means 'A is neither greater than or equal to B'
In each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true.
Statements:
V * W, W S H, H @ I
Conclusions:
I. L * V II. L S D
  • a)
    if only conclusion I is true
  • b)
    if only conclusion II is true
  • c)
    if either conclusion I or conclusion II is true
  • d)
    if neither conclusion I nor conclusion II is true
Correct answer is option 'B'. Can you explain this answer?

T.S Academy answered
V ≤ W ...(i) W = H ...(ii) H ≥ I ...(iii)
From (i) and (ii) W = H ≥ I or W ≥ I ...(iv)
Hence I ≤ W and II follows But V and I can't be compared From (iii) and (iv)
Hence I does not follows.

Direction: In the following information question, the symbols @, ©, %, S and δ are used with the following meaning as illustrated below:
'P % Q' means 'P is greater than Q'
'P δ Q' means 'P is neither greater than smallest than Q'
'P @ Q' means 'P is smallest than Q'.
'p © Q' means 'P is either smallest than or equal to Q'
'P S Q' means 'P is either greater than or equal to Q'
In each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is are true
Statements:
V % B, B S D, D © E
Conclusions:
I. E δ B II. D @ V
  • a)
    If Only Conclusion II is true
  • b)
    if only conclusion I is true
  • c)
    if either conclusion I or conclusion II is true
  • d)
    if neither conclusion I nor conclusion II is true
Correct answer is option 'A'. Can you explain this answer?

T.S Academy answered
  • V > B ...(i) B ≥ D ...(ii) D ≤ E ...(iii)
  • We know B ≥ D and D ≤ E, but without exact values, we cannot definitively determine the relationship between B and E. E could be equal to, greater than, or less than B.
  • Therefore, Conclusion I is not definitely true.
  • Conclusion II: D @ V → D < V
  • From the statements:
  • V > B
  • B ≥ D
  • Combining these:
  • Since V > B and B ≥ D, it follows that V > D.
  • Thus, D < V, so Conclusion II is definitely true.
  • Answer:
  • Only Conclusion II is definitely true.

 

Direction: In the following information question, the symbols @, ©, %, S and δ are used with the following meaning as illustrated below:
'P % Q' means 'P is greater than Q'
'P δ Q' means 'P is neither greater than smallest than Q'
'P @ Q' means 'P is smallest than Q'.
'p © Q' means 'P is either smallest than or equal to Q'
'P S Q' means 'P is either greater than or equal to Q'
In each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is are definitely true
Statement :
M @ J, J © R, R δ K
Conclusion :
I. K δ J II. K % J
  • a)
    if only conclusion I is true
  • b)
    if either conclusion I or conclusion II is true
  • c)
    if only conclusion II is true
  • d)
    if neither conclusion I nor conclusion II is true
Correct answer is option 'C'. Can you explain this answer?

T.S Academy answered
Let's analyze the given information and interpret the conclusions based on the symbols used:
Statements Interpretation:
  1. V % B implies V is greater than B.
  2. B S D implies B is either greater than or equal to D.
  3. D © E implies D is either smaller than or equal to E.
Analyzing Relationships:
  • From V % B, we have V > B.
  • From B S D, we have B ≥ D.
  • From D © E, we have D ≤ E.
Using these interpretations, we can create a logical chain of relationships:
  • If V > B and B ≥ D, it implies V > D.
  • If D ≤ E, this does not tell us the exact relationship between B and E, but implies E can be greater than or equal to D.
Conclusions:
  1. E δ B means E is neither greater than nor smaller than B (E = B).
    • We know V > B and V > D, and D ≤ E. There is no specific information to conclude E = B; E could be equal to or greater than B but not necessarily equal.
  2. D @ V means D is smaller than V.
    • From V > B and B ≥ D, it follows that V > D, confirming D @ V is true.
Answer:
  • Conclusion I (E δ B) is not supported by the statements.
  • Conclusion II (D @ V) is true based on the chain of relationships: V > B ≥ D implies V > D.
Therefore, the correct answer is: 3 - if only conclusion II is true.

Direction: In the following information question, the symbols @, ©, %, S and δ are used with the following meaning as illustrated below:
'P % Q' means 'P is greater than Q'
'P δ Q' means 'P is neither greater than smallest than Q'
'P @ Q' means 'P is smallest than Q'.
'p © Q' means 'P is either smallest than or equal to Q'
'P S Q' means 'P is either greater than or equal to Q'
In each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is are definitely true
Statements: H S N, N % R, R @ J
Conclusions: I. R @ H II. J % H
  • a)
    if only conclusion I is true
  • b)
    if only conclusion II is true
  • c)
    if either conclusion I or conclusion II is true
  • d)
    if neither conclusion I nor conclusion II is true
Correct answer is option 'A'. Can you explain this answer?

Glance Learning Institute answered
H ≥ N ....(i) N > R ....(ii) R < J ...(iii)
From (i) and (ii) R > H ...(iv)
Hence R < H and I follows
But J and H can't compared From (iii) and (iv)
Hence II does not follow.

Direction: In the following information question, the symbols @, ©, %, S and δ are used with the following meaning as illustrated below:
'P % Q' means 'P is greater than Q'
'P δ Q' means 'P is neither greater than smallest than Q'
'P @ Q' means 'P is smallest than Q'.
'p © Q' means 'P is either smallest than or equal to Q'
'P S Q' means 'P is either greater than or equal to Q'
In each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is are definitely true
Statement :
W © D, D S B, B @ H
Conclusion :
I. H % D II. W @ B
  • a)
    if only conclusion I is true
  • b)
    if only conclusion II is true
  • c)
    if either conclusion I or conclusion II is true
  • d)
    if neither conclusion I nor conclusion II is true
Correct answer is option 'D'. Can you explain this answer?

Glance Learning Institute answered
W ≤ D ....(i) D ≥ B .....(ii) B > H ... (iii)
H and D can't be compared from (ii) and (iii)
Hence; I does not follows
Nor can W and B he be compared From (i) and (ii).
Hence II does not follows

If '-' stands for '÷', '+' stands for '-', '÷' stands for 'x', 'x' stands for '+', then which one of the following equation is correct?
  • a)
    70 - 2 + 4 ÷ 5 x 6 = 44
  • b)
    70 - 2 + 4 ÷ 5 x 6 = 21
  • c)
    70 - 2 + 4 ÷ 5 x 6 = 341
  • d)
    70 - 2 + 4 ÷ 5 x 6 = 96
Correct answer is option 'B'. Can you explain this answer?

Glance Learning Institute answered
Change the proper sign according to question and try all option one by one by applying the BODMAS Rule.
'-' ⇒ ÷
'+' ⇒ '-'
÷ ⇒ 'x'
'x' ⇒ '+'
∴ 70 ÷ 2 - 4 x 5 + 6 = 21
⇒ 35 - 20 + 6 = 21
⇒ 15 + 6 = 21
⇒ 21 = 21

Direction: In the following information question, the symbols @, ©, %, S and δ are used with the following meaning as illustrated below:
'P % Q' means 'P is greater than Q'
'P δ Q' means 'P is neither greater than smallest than Q'
'P @ Q' means 'P is smallest than Q'.
'p © Q' means 'P is either smallest than or equal to Q'
'P S Q' means 'P is either greater than or equal to Q'
In each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is are definitely true
Statement :
N S T, T δ H, N @ W
Conclusion :
I. W % T II. H © N
  • a)
    if only conclusion I is true
  • b)
    if only conclusion II is true
  • c)
    if either conclusion I or conclusion II is true
  • d)
    if both conclusion I and II are true
Correct answer is option 'D'. Can you explain this answer?

EduRev SSC CGL answered
N ≥ T ... (i) T = H ...(ii) N < w .....(iii)
Combining these we get W > N ≥ T = H
Hence W > T and I follows.
Also H ≤ N and II follows

Which sequence of mathematical symbols can replace *in the given equation to balance the equation ?
7 * 7 * 2 * 1 = 12
  • a)
    - ÷
  • b)
    + - x
  • c)
    x - +
  • d)
    + x -
Correct answer is option 'B'. Can you explain this answer?

Iq Funda answered
Given, 7 * 7 * 2 * 1 = 12
Let us check all the options one by one.
From option (a), putting the signs in given equation, we get
7 x 7 - 2 ÷ 1 = 12 ⇒ 7 x 7 - 2 = 12
⇒ 49 - 2 = 12 ⇒ 47 = 12
⇒ LHS ≠ RHS
So, option (a) is incorrect.
From option (b), putting the signs in given equation, we get
7 + 7 - 2 x 1 = 12 ⇒ 7 + 7 - 2 = 12
⇒ 14 - 2 = 12 ⇒ 12 = 12
Hence, option (b) is correct and there is no need to check remaining options .

Direction: What should be the correct signs to balance the following equations ?
65 40 11 = 36
  • a)
    - and +
  • b)
    x and ÷
  • c)
    ÷ and +
  • d)
    + and x
Correct answer is option 'A'. Can you explain this answer?

Iq Funda answered
Let us check all the options one by one.
From option (a),
65 - 40 + 11 = 36 ⇒ 76 - 40 = 36
⇒ 36 = 36 ⇒ LHS = RHS
So, option (a) is correct and hence there is no need to check remaining options.

Direction: In these following question, the symbols @, #,* and % are used with the different meaning as follow:
'A @ B' means 'A is not smallest than B'
'A # B' means 'A is neither smallest than nor equal to B.
'A S B' means 'A is neither than nor smallest than B.
'A * B' means "A is not greater than B'.
'A % B' means 'A is neither greater than or equal to B'
In each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true.
Statements:
N @ W, W # H
Conclusions:
I. H % N II. T # W
  • a)
    if only conclusion I is true
  • b)
    if only conclusion II is true
  • c)
    if either conclusion I or conclusion II is true
  • d)
    if neither conclusion I nor conclusion II is true
Correct answer is option 'A'. Can you explain this answer?

Ssc Cgl answered
N ≤ W ...(i) W = H ...(ii) H < T ...(iii)
From (i) and (ii) W = N ≥ W > H or N > H ...(iv)
Hence H < N and I follows.
But T and W can't be compared from (ii) and (iii) Hence II does not follow.

If '@' means 'x', 'c' means '÷' % means (+) and '$' means '-', then 6C3@8   $   3 = ?
  • a)
    37
  • b)
    35
  • c)
    39
  • d)
    33
Correct answer is option 'B'. Can you explain this answer?

EduRev SSC CGL answered
∵ 6C3@8   $   3 = ?
After replacing the sign according to the question
⇒ 6 + 12 ÷ 3 x 8 - 3 = ?
Apply the BODMAS Rule
⇒ 6 + 4 x 8 - 3 = ?
⇒ 6 + 32 - 3 = ?
⇒ 38 - 3 = ?
∴ ? = 35

If S means '-', Q means 'x' , R means '÷' and P means '+' then
1   P   45   R   2   Q   2   S   4 = ?
  • a)
    40
  • b)
    42
  • c)
    36
  • d)
    46
Correct answer is option 'B'. Can you explain this answer?

EduRev SSC CGL answered
After replacing the sign according to question
1   P   45   R   2   Q   2   S   4
Apply the BODMAS Rule
= 1 + 45 ÷ 2 x 2 - 4
= 1 + 22.5 x 2 - 4
= 1 + 45 - 4 = 42

Direction: In the following information question, the symbols @, ©, %, S and δ are used with the following meaning as illustrated below:
'P % Q' means 'P is greater than Q'
'P δ Q' means 'P is neither greater than smallest than Q'
'P @ Q' means 'P is smallest than Q'.
'p © Q' means 'P is either smallest than or equal to Q'
'P S Q' means 'P is either greater than or equal to Q'
In each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is are definitely true
Statement :
F δ T, T S M, M © R
Conclusion :
I. R S F II. M © F
  • a)
    if only conclusion I is true
  • b)
    if only conclusion II is true
  • c)
    if either conclusion I or conclusion II is true
  • d)
    if neither conclusion I nor conclusion II is true
Correct answer is option 'B'. Can you explain this answer?

Glance Learning Institute answered
F = T ....(i) T ≥ M ....(ii) M ≤ R .....(iii)
From (i) and (ii) F ≥ M ....(iv)
Hence M ≤ F and II follows
But R and F can't be compared From (iii) and (iv)
Hence I does not follow

Chapter doubts & questions for Mathematical Operations - General Intelligence and Reasoning for SSC CGL 2025 is part of SSC CGL exam preparation. The chapters have been prepared according to the SSC CGL exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for SSC CGL 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

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