Question : Directions: Which of the mathematical signs should be interchanged in the below equation to make it mathematically correct?
14 + 63 ÷ 7 – 21 × 35 = 140
Option 1: + and –
Option 2: + and ×
Option 3: – and ×
Option 4: ÷ and ×
Correct Answer: + and ×
Solution :
Given:
14 + 63 ÷ 7 – 21 × 35 = 140
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 –
= 14 – 63 ÷ 7 + 21 × 35
= 14 – 9 + 21 × 35
= 14 – 9 + 735
= 740 ≠ 140
Second option:
+ and ×
Solving the L.H.S. of the equation –
= 14 × 63 ÷ 7 – 21 + 35
= 14 × 9 – 21 + 35
= 126 + 14
= 140 = R.H.S.
Third option:
– and ×
Solving the L.H.S. of the equation –
= 14 + 63 ÷ 7 × 21 – 35
= 14 + 9 × 21 – 35
= 14 + 189 – 35
= 168 ≠ 140
Fourth option:
÷ and ×
Solving the L.H.S. of the equation –
= 14 + 63 × 7 – 21 ÷ 35
= 14 + 63 × 7 – 0.6
= 14 + 441 – 0.6
= 454.4 ≠ 140
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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