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What will come in the place of the question mark ‘(?)’ in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged? 15 × 5 ÷ 7 − 8 + 9 = ?
17
20
18
19
20
Apply BODMAS rule immediately after swapping symbols to ensure precedence of Division/Multiplication over Addition/Subtraction.
Apply BODMAS rule immediately after swapping symbols to ensure precedence of Division/Multiplication over Addition/Subtraction.
Step 1: Symbol Replacement
Given equation: 15 * 5 / 7 - 8 + 9. According to instructions: replace * with /, / with *, + with -, and - with +. The new equation becomes: 15 / 5 * 7 + 8 - 9.
Step 2: BODMAS Simplification
Solve using BODMAS: 1. Division: 15 / 5 = 3. 2. Multiplication: 3 * 7 = 21. 3. Addition: 21 + 8 = 29. 4. Subtraction: 29 - 9 = 20.
A: 17 is incorrect because it fails to follow the BODMAS order of operations. C: 18 is incorrect as it results from incorrect manual arithmetic calculation. D: 19 is incorrect as it results from ignoring the priority of multiplication over addition.
B is correct because replacing the symbols gives 15 / 5 * 7 + 8 - 9, which evaluates to 3 * 7 + 8 - 9 = 21 + 8 - 9 = 20.
In symbol substitution questions, always rewrite the full equation with the new operators before calculating to avoid mental errors during the swap.
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