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PYQ Question

a + b means a – b; a – b means a x b; a x b means a ÷ b; a ÷ b; means a + b, then what is the value of 10 + 30 – 100 x 50 ÷ 25? (Operations are to be replaced simultaneously)

a + b means a – b; a – b means a x b; a x b means a ÷ b; a ÷ b; means a + b, then what is the value of 10 + 30 – 100 x 50 ÷ 25? (Operations are to be replaced simultaneously)
  1. A. 15
  2. C. –15
  3. D. –25

Answer: D

Explanation

First, replace the mathematical operations in the given expression according to the provided rules:
Original expression: 10 + 30 – 100 x 50 ÷ 25

Applying the rules:
– ‘+’ becomes ‘–’
– ‘–’ becomes ‘x’
– ‘x’ becomes ‘÷’
– ‘÷’ becomes ‘+’

The transformed expression is: 10 – 30 x 100 ÷ 50 + 25

Now, follow the standard order of operations (BODMAS/PEMDAS):
1. **Division**: 100 ÷ 50 = 2
The expression becomes: 10 – 30 x 2 + 25
2. **Multiplication**: 30 x 2 = 60
The expression becomes: 10 – 60 + 25
3. **Addition and Subtraction** (from left to right):
10 – 60 = -50
-50 + 25 = -25

The value of the expression is -25. This question tests logical reasoning by reinterpreting mathematical operations.

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