Question : Directions: After interchanging which two signs, the value of the given equation will be 1? 3 ÷ 1 + 6 × 2 – 5
Option 1: + and –
Option 2: ÷ and +
Option 3: × and –
Option 4: ÷ and ×
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Correct Answer: ÷ and ×
Solution : Given: 3 ÷ 1 + 6 × 2 – 5
Interchange the signs according to the given options. First option: + and – Solving the L.H.S. of the equation – 3 ÷ 1 – 6 × 2 + 5 = 3 – 12 + 5 = –4 ≠ 1 Second option: ÷ and + Solving the L.H.S. of the equation – 3 + 1 ÷ 6 × 2 – 5 = 3 + 0.334 – 5 = –1.666 ≠ 1 Third option: x and – Solving the L.H.S. of the equation – 3 ÷ 1 + 6 – 2 x 5 = 3 + 6 – 10 = –1 ≠ 1 Fourth option: ÷ and x Solving the L.H.S. of the equation – = 3 x 1 + 6 ÷ 2 – 5 = 3 x 1 + 3 – 5 = 6 – 5 ⇒ 1 = 1
So, after interchanging ÷ and x, the equation equals 1. Hence, the fourth option is correct.
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