Question : Directions: Which of the mathematical signs should be interchanged in the below equation to make it mathematically correct?
24 ÷ 15 × 16 + 4 – 18 = 66
Option 1: ÷ and ×
Option 2: – and +
Option 3: – and ×
Option 4: ÷ and +
Correct Answer: ÷ and +
Solution :
Given:
24 ÷ 15 × 16 + 4 – 18 = 66
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
÷ and ×
Solving the L.H.S. of the equation –
= 24 × 15 ÷ 16 + 4 – 18
= 22.5 – 14
= 8.5 ≠ 66
Second option:
– and +
Solving the L.H.S. of the equation –
= 24 ÷ 15 × 16 – 4 + 18
= 1.6 × 16 – 4 + 18
= 25.6 + 14
= 39.6 ≠ 66
Third option:
– and ×
Solving the L.H.S. of the equation –
= 24 ÷ 15 – 16 + 4 × 18
= 1.6 – 16 + 72
= 57.6 ≠ 66
Fourth option:
÷ and +
Solving the L.H.S. of the equation –
= 24 + 15 × 16 ÷ 4 – 18
= 24 + 15 × 4 – 18
= 24 + 60 – 18
= 66 = R.H.S.
So, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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