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What will come in place of the question mark (?) in the following equation if ‘+’ and ‘÷’ are interchanged and ‘×’ and ‘−’ are interchanged? 21 ÷ 15 × 52 + 13 – 7 = ?
12
10
7
8
8
Apply the BODMAS rule strictly after interchanging the signs as per the instructions: Divide, Multiply, Add, Subtract.
Apply the BODMAS rule strictly after interchanging the signs as per the instructions: Divide, Multiply, Add, Subtract.
Interchange signs
Given expression: 21 ÷ 15 × 52 + 13 - 7. After replacing + with ÷, ÷ with +, × with -, and - with ×: 21 + 15 - 52 ÷ 13 × 7.
Solve using BODMAS
Step 1: Division (52 ÷ 13 = 4). Equation becomes 21 + 15 - 4 × 7. Step 2: Multiplication (4 × 7 = 28). Equation becomes 21 + 15 - 28. Step 3: Addition (21 + 15 = 36). Step 4: Subtraction (36 - 28 = 8).
A: Calculation error yields 12 when neglecting proper BODMAS order. B: Result 10 occurs if addition is performed after subtraction incorrectly. C: Result 7 occurs due to improper sequence of operations in the division and multiplication steps.
D is correct because following the BODMAS rule after substituting the operators results in exactly 8.
Always write down the new equation clearly before calculating to avoid sign confusion, and ensure the division is handled before subtraction.
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