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All questions of Mathematical Operations for SSC CGL Exam

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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.

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?

Arnav Saini answered
Understanding the Problem
To solve the equation 7 4 8 2 = 24 using the signs -, x, and ÷, we need to strategically place these operators between the numbers to achieve the target of 24.
Analyzing the Options
Let’s explore the correct answer option 'C', which suggests using x, -, and ÷.
Breaking Down the Calculation
1. Using the Operators
Place the operators as follows:
7 x 4 ÷ 2 - 8
2. Step-by-Step Calculation
- First, calculate 7 x 4:
- 7 x 4 = 28
- Next, divide the result by 2:
- 28 ÷ 2 = 14
- Finally, subtract 8 from the result:
- 14 - 8 = 6
This configuration does not equal 24, so let's try again.
Correct Operator Placement
To achieve 24, the correct arrangement is:
7 x 4 - 8 ÷ 2
1. Calculation Steps
- First, calculate 8 ÷ 2:
- 8 ÷ 2 = 4
- Then, perform the multiplication:
- 7 x 4 = 28
- Finally, subtract the result of the division:
- 28 - 4 = 24
Conclusion
The correct signs to balance the equation are x, -, and ÷, confirming that option 'C' is indeed correct. The arrangement allows us to accurately reach the target value of 24 by following the order of operations.

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: 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.

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

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.

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

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