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UPSC Prelims 2024CSATLogical ReasoningMathematical Operations

Q75. 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. 15
B. 0
C. –15
D. –25✓ Correct

Detailed Solution

✓ Correct Answer: Option D

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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