Question : Direction: Which of the following interchange of signs would make the given equation correct?
2 × 3 + 6 – 12 ÷ 4 = 17
Option 1: × and +
Option 2: + and –
Option 3: + and ÷
Option 4: – and ÷
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Correct Answer: × and +
Solution :
Given:
2 × 3 + 6 – 12 ÷ 4 = 17
Let's check the options —
First option:
× and +
On replacing → 2 + 3 × 6 – 12 ÷ 4 = 17
= 2 + 3 × 6 – 12 ÷ 4
= 2 + 3 × 6 – 3
= 2 + 18 – 3
= 20 – 3
= 17
Second option:
+ and –
On replacing → 2 × 3 – 6 + 12 ÷ 4 = 17
= 2 × 3 – 6 + 12 ÷ 4
= 2 × 3 – 6 + 3
= 6 – 6 + 3
= 9 – 6
= 3 ≠ 17
Third option:
+ and ÷
On replacing → 2 × 3 ÷ 6 – 12 + 4 = 17
= 2 × 3 ÷ 6 – 12 + 4
= 2 × 0.5 – 12 + 4
= 1 – 12 + 4
= 5 – 12
= – 8 ≠ 17
Fourth option:
– and ÷
On replacing → 2 × 3 + 6 ÷ 12 – 4 = 17
= 2 × 3 + 6 ÷ 12 – 4
= 2 × 3 + 0.5 – 4
= 6 + 0.5 – 4
= 6.5 – 4
= 2.5 ≠ 17
Hence, the first option is correct.
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