Question : Directions: Which two signs should be interchanged to make the given equation correct?
588 ÷ 28 × 32 + 72 – 160 = 760
Option 1: – and +
Option 2: ÷ and –
Option 3: + and ×
Option 4: ÷ and +
Correct Answer: – and +
Solution :
Given:
588 ÷ 28 × 32 + 72 – 160 = 760
Interchange the mathematical signs given in the equation with the signs given in the options one by one –
First option:
– and +
⇒ 588 ÷ 28 × 32 – 72 + 160 = 760
Solving L.H.S. of the equation –
= 21 × 32 – 72 + 160
= 672 – 72 + 160
= 760 = R.H.S.
Second option:
÷ and –
⇒ 588 – 28 × 32 + 72 ÷ 160 = 760
Solving L.H.S. of the equation –
= 588 – 28 × 32 + 0.45
= 588 – 896 + 0.45
= –307.55 ≠ 760
Third option:
+ and ×
⇒ 588 ÷ 28 + 32 × 72 – 160 = 760
Solving L.H.S. of the equation –
= 21 + 32 × 72 – 160
= 21 + 2304 – 160
= 2165 ≠ 760
Fourth option:
÷ and +
⇒ 588 + 28 × 32 ÷ 72 – 160 = 760
Solving L.H.S. of the equation –
= 588 + 28 × 0.44 – 160
= 588 + 12.32 – 160
= 440.32 ≠ 760
So, only the first option satisfies the given equation. Hence, the first option is correct.
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