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
- C. –15
- 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.