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 +
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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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