Question : Directions: Which two signs should be interchanged to make the given equation correct?
625 ÷ 25 + 7 × 318 – 112 = 381
Option 1: – and +
Option 2: ÷ and +
Option 3: ÷ and –
Option 4: + and ×
Correct Answer: + and ×
Solution :
Given:
625 ÷ 25 + 7 × 318 – 112 = 381
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
– and +
= 625 ÷ 25 – 7 × 318 + 112
= 25 – 7 × 318 + 112
= 25 – 2226 + 112
= 137 – 2226
= –2089
≠
381
Second option:
÷ and +
= 625 + 25 ÷ 7 × 318 – 112
= 625 + 3.57 × 318 – 112
= 625 + 1135.26 – 112
= 1760.26 – 112
= 1648.26
≠
381
Third option:
÷ and –
= 625 – 25 + 7 × 318 ÷ 112
= 625 – 25 + 7 × 2.84
= 625 – 25 + 19.88
= 644.88 – 25
= 619.88
≠
381
Fourth option:
+ and ×
= 625 ÷ 25 × 7 + 318 – 112
= 25 × 7 + 318 – 112
= 175 + 318 – 112
= 493 – 112
= 381
So, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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