Question : Directions: Which two signs should be interchanged to make the given equation correct?
39 ÷ 3 – 11+ 57 × 29 = 171
Option 1: – and ×
Option 2: – and +
Option 3: ÷ and +
Option 4: ÷ and –
Correct Answer: – and ×
Solution :
Given:
39 ÷ 3 – 11 + 57 × 29 = 171
Let's check the options —
First option:
– and ×
⇒39 ÷ 3 × 11 + 57 – 29 = 171
13 × 11 + 57 – 29 = 171
143 + 57 – 29 = 171
200 – 29 = 171
171 = 171
Second option:
– and +
⇒39 ÷ 3 + 11 – 57 × 29 = 171
13 + 11 – 1653 = 171
–1629 ≠ 171
Third option:
÷ and +
⇒39 + 3 – 11 ÷ 57 × 29 = 171
39 + 3 – 0.192 × 29 = 171
42 – 5.59 = 171
36.41 ≠ 171
Fourth option:
÷ and –
⇒39 – 3 ÷ 11+ 57 × 29 = 171
39 - 0.2 + 1653 = 171
1691.8 ≠ 171
So, only the first option satisfies the given equation. Hence, the first option is correct.
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