Question : Directions: Which two signs should be interchanged to make the given equation correct?
17 × 4 + 6 ÷ 2 – 27 = 92
Option 1: + and ×
Option 2: ÷ and ×
Option 3: + and –
Option 4: × and –
Correct Answer: + and –
Solution :
Given:
17 × 4 + 6 ÷ 2 – 27 = 92
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
+ and ×
= 17 + 4 × 6 ÷ 2 – 27
= 17 + 4 × 3 – 27
= 17 + 12 – 27
= 29 – 27
= 2
≠ 92
Second option:
÷ and ×
= 17 ÷ 4 + 6 × 2 – 27
= 4.25 + 6 × 2 – 27
= 4.25 + 12 – 27
= 16.25 – 27
= –10.75
≠ 92
Third option:
+ and –
= 17 × 4 – 6 ÷ 2 + 27
= 17 × 4 – 3 + 27
= 68 – 3 + 27
= 95 – 3
= 92
Fourth option:
× and –
= 17 – 4 + 6 ÷ 2 × 27
= 17 – 4 + 3 × 27
= 17 – 4 + 81
= 98 – 4
= 94
≠ 92
Here, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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