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All questions of Mathematical Operations for Bank Exams Exam

If $ means +, # means –, @ means × and  * means ÷, then what is the value of 12 $ 6 @ 8 # 65 * 5?
  • a)
    39
  • b)
    36
  • c)
    47
  • d)
    53
Correct answer is option 'C'. Can you explain this answer?

Ishani Khanna answered
Given Expression:
12 $ 6 @ 8 # 65 * 5

Substitute the symbols:
12 + 6 × 8 - 65 ÷ 5

Solve using BODMAS rule:
1. First, solve multiplication and division:
6 × 8 = 48
65 ÷ 5 = 13
2. Next, solve addition and subtraction:
12 + 48 - 13 = 47
Therefore, the value of the expression is 47.
So, the correct answer is option 'C'.

If P denotes ‘+’, Q denotes ‘–‘, R denotes ‘×’ and S denotes ‘÷’, then which of the following statement is correct ?
  • a)
    16 R 12 P 49 S 7 Q 9 = 200
  • b)
    32 S 8 R 9 = 160 Q 12 R 12
  • c)
    8 R 8 P 8 S 8 Q 8 = 57
  • d)
    36 R 4 S 8 Q 7 P 4 = 10
Correct answer is option 'C'. Can you explain this answer?

Bibek Dasgupta answered
Understanding the Operators
In the given problem, the operators are defined as follows:
- P denotes ‘+’
- Q denotes ‘–’
- R denotes ‘×’
- S denotes ‘÷’
Evaluating Option C
Let's evaluate option C step-by-step:
Expression: 8 R 8 P 8 S 8 Q 8
Step 1: Substitute the Operators
Replace the operators with their corresponding mathematical symbols:
- 8 R 8 becomes 8 × 8
- P (8 P 8) becomes + 8
- S (8 S 8) becomes ÷ 8
- Q (8 Q 8) becomes – 8
So, the expression transforms to:
8 × 8 + 8 ÷ 8 – 8
Step 2: Execute the Operations
Now, follow the order of operations (BODMAS/BIDMAS):
1. Multiplication: 8 × 8 = 64
2. Division: 8 ÷ 8 = 1
3. Addition and Subtraction from left to right:
- 64 + 1 = 65
- 65 – 8 = 57
Conclusion for Option C
The final result for the expression 8 R 8 P 8 S 8 Q 8 is 57. Thus, option C is correct.
Verification of Other Options
- Option A: 16 R 12 P 49 S 7 Q 9 does not equal 200.
- Option B: 32 S 8 R 9 does not equal 160 Q 12 R 12.
- Option D: 36 R 4 S 8 Q 7 P 4 does not equal 10.
Upon careful evaluation, we can conclude that option C stands correct, confirming the calculations are accurate.

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