Question : Directions: Which two numbers and two signs should be interchanged in the following equation to make it correct?
3 – 17 + 3 + 16 × 8 = 60
Option 1: 17 and 8, – and ×
Option 2: 3 and 17, – and ×
Option 3: 3 and 16, – and ×
Option 4: 17 and 16, – and ×
Correct Answer: 17 and 16, – and ×
Solution :
Given:
3 – 17 + 3 + 16 × 8 = 60
Let's check the options –
First option:
17 and 8, – and ×
3 × 8 + 3 + 16 – 17 = 60
On solving the L.H.S. of the equation –
= 3 × 8 + 3 + 16 – 17
= 24 + 3 + 16 – 17
= 43 – 17
= 26 ≠ 60
Second option:
3 and 17, – and ×
17 × 3 + 17 + 16 – 8 = 60
On solving the L.H.S. of the equation –
= 17 × 3 + 17 + 16 – 8
= 51 + 17 + 16 – 8
= 84 – 8
= 76 ≠ 60
Third option:
3 and 16, – and ×
16 × 17 + 16 + 3 – 8 = 60
On solving the L.H.S. of the equation –
= 16 × 17 + 16 + 3 – 8
= 272 + 16 + 3 – 8
= 291 – 8
= 283 ≠ 60
Fourth option:
17 and 16, – and ×
3 × 16 + 3 + 17 – 8 = 60
On solving the L.H.S. of the equation –
=
3 × 16 + 3 + 17 – 8
= 48 + 3 + 17 – 8
= 68 – 8
= 60
So, the fourth option satisfies the equation. Hence, the fourth option is correct.
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