Question : Directions: Which two signs and two numbers (Not digits) should be interchanged in the given equation to make it correct? 9 ÷ 3 + 7 × 4 – 5 = 20
Option 1: ÷ and –, 5 and 4
Option 2: × and –, 3 and 5
Option 3: + and ×, 9 and 7
Option 4: ÷ and –, 7 and 5
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Correct Answer: + and ×, 9 and 7
Solution : Given: 9 ÷ 3 + 7 × 4 – 5 = 20
Let's check the given options – First Option: ÷ and –, 5 and 4 ⇒ 9 – 3 + 7 × 5 ÷ 4 = 20 Solving the L.H.S. of the equation – = 9 – 3 + 7 × 1.25 = 9 – 3 + 8.75 = 14.75 ≠ 20 Second option: × and –, 3 and 5 ⇒ 9 ÷ 5 + 7 – 4 × 3 = 20 Solving the L.H.S. of the equation – = 1.8 + 7 – 4 × 3 = 1.8 + 7 – 12 = –3.2 ≠ 20 Third option: + and ×, 9 and 7 ⇒ 7 ÷ 3 × 9 + 4 – 5 = 20 Solving the L.H.S. of the equation – = 21 + 4 – 5 = 20 Fourth option: ÷ and –, 7 and 5 ⇒ 9 – 3 + 5 × 4 ÷ 7 = 20 Solving the L.H.S. of the equation – = 9 – 3 + 5 × 0.57 = 9 – 3 + 2.85 = 8.85 ≠ 20
So, only the third option satisfies the given equation. Hence, the third option is correct.
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