Question : Directions: Which two signs should be interchanged to make the given equation correct? 4 × 7 + 36 – 12 ÷ 6 = 25
Option 1: + and –
Option 2: × and –
Option 3: ÷ and ×
Option 4: ÷ and –
Correct Answer: ÷ and –
Solution : Given: 4 × 7 + 36 – 12 ÷ 6 = 25
Let's check the options – First options: + and – 4 × 7 – 36 + 12 ÷ 6 = 25 On solving the L.H.S. of the given equation – = 4 × 7 – 36 + 12 ÷ 6 = 4 × 7 – 36 + 2 = 28 – 36 + 2 = –6 ≠ 25 Second option: × and – 4 – 7 + 36 × 12 ÷ 6 = 25 On solving the L.H.S. of the given equation – = 4 – 7 + 36 × 12 ÷ 6 = 4 – 7 + 36 × 2 = 4 – 7 + 72 = 69 ≠ 25 Third option: ÷ and × 4 ÷ 7 + 36 – 12 × 6 = 25 On solving the L.H.S. of the given equation – = 4 ÷ 7 + 36 – 12 × 6 = 0.57 + 36 – 12 × 6 = 0.57 + 36 – 72 = –35.43 ≠ 25 Fourth option: ÷ and – 4 × 7 + 36 ÷ 12 – 6 = 25 On solving the L.H.S. of the given equation – = 4 × 7 + 36 ÷ 12 – 6 = 4 × 7 + 3 – 6 = 28 + 3 – 6 = 25
So, the fourth option satisfies the equation. Hence, the fourth option is correct.
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