Question : Directions: Which of the mathematical signs should be interchanged in the below equation to make it mathematically correct?
45 – 6 + 108 ÷ 12 × 14 = 5
Option 1: ÷ and –
Option 2: × and –
Option 3: + and ×
Option 4: + and –
Correct Answer: + and ×
Solution :
Given:
45 – 6 + 108 ÷ 12 × 14 = 5
On interchanging the symbols, we get –
First option:
÷ and –
45 ÷ 6 + 108 – 12 × 14 = 5
Solving the L.H.S. of the equation –
= 7.5 + 108 – 12 × 14
= 7.5 + 108 – 168
= –52.5 ≠ 5
Second option:
× and –
45 × 6 + 108 ÷ 12 – 14 = 5
Solving the L.H.S. of the equation –
= 45 × 6 + 9 – 14
= 270 + 9 – 14
= 265 ≠ 5
Third option:
+ and ×
45 – 6 × 108 ÷ 12 + 14 = 5
Solving the L.H.S. of the equation –
= 45 – 6 × 9 + 14
= 45 – 54 + 14
= 59 – 54
= 5 = R.H.S.
Fourth option:
+ and –
45 + 6 – 108 ÷ 12 × 14 = 5
Solving the L.H.S. of the equation –
= 45 + 6 – 9 × 14
= 45 + 6 – 126
= –75 ≠ 5
So, only the third option satisfies the equation. Hence, the third option is correct.
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