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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? 20 × 5 – 13 + 3 ÷ 4 = ?
12
5
10
7
5
Rewrite the expression immediately with the interchanged signs and strictly follow the BODMAS rule (Division first, then Multiplication, Addition, and Subtraction).
Rewrite the expression immediately with the interchanged signs and strictly follow the BODMAS rule (Division first, then Multiplication, Addition, and Subtraction).
Apply Interchange Rules
Given signs: + and - are interchanged, and x and / are interchanged. The original equation is 20 x 5 - 13 + 3 / 4. Applying the changes: 20 / 5 + 13 - 3 x 4.
Solve using BODMAS
First, perform Division: 20 / 5 = 4. Equation becomes: 4 + 13 - 3 x 4. Next, perform Multiplication: 3 x 4 = 12. Equation becomes: 4 + 13 - 12. Finally, Addition and Subtraction: 4 + 13 = 17, and 17 - 12 = 5.
A: 12 is incorrect as it ignores the BODMAS priority of operations. C: 10 is incorrect because it fails to calculate the final subtraction step correctly. D: 7 is incorrect because it results from an arithmetic error during the multiplication step.
B is correct because following the BODMAS rule after swapping the signs results in 4 + 13 - 12, which equals 5.
Always write down the modified equation completely before calculating to avoid sign confusion, and ensure the division sign is processed first if it yields an integer.
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