Question : Directions: By interchanging the given two signs and numbers, which of the following equations will be correct? + and ×, 1 and 2
Option 1: 8 × 3 – 4 ÷ 2 + 1 = 7
Option 2: 2 × 3 – 8 ÷ 1 + 9 = 18
Option 3: 8 × 3 – 4 ÷ 2 + 1 = 3
Option 4: 2 × 3 – 8 ÷ 1 + 2 = 5
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Correct Answer: 8 × 3 – 4 ÷ 2 + 1 = 3
Solution : Let's check the options – First option: 8 × 3 – 4 ÷ 2 + 1 = 7 On interchanging the mathematical signs and numbers, we get – ⇒ 8 + 3 – 4 ÷ 1 × 2 = 7 Solving the L.H.S. of the equation – = 8 + 3 – 4 ÷ 1 × 2 = 8 + 3 – 4 × 2 = 8 + 3 – 8 = 11 – 8 = 3 ≠ 7 Second option: 2 × 3 – 8 ÷ 1 + 9 = 18 On interchanging the mathematical signs and numbers, we get – ⇒ 1 + 3 – 8 ÷ 2 × 9 = 18 Solving the L.H.S. of the equation – = 1 + 3 – 8 ÷ 2 × 9 = 1 + 3 – 4 × 9 = 1 + 3 – 36 = 4 – 36 = –32 ≠ 18 Third option: 8 × 3 – 4 ÷ 2 + 1 = 3 On interchanging the mathematical signs and numbers, we get – ⇒ 8 + 3 – 4 ÷ 1 × 2 = 3 Solving the L.H.S. of the equation – = 8 + 3 – 4 ÷ 1 × 2 = 8 + 3 – 4 × 2 = 8 + 3 – 8 = 11 – 8 = 3 Fourth option: 2 × 3 – 8 ÷ 1 + 2 = 5 On interchanging the mathematical signs and numbers, we get – ⇒ 1 + 3 – 8 ÷ 2 × 1 = 5 Solving the L.H.S. of the equation – = 1 + 3 – 8 ÷ 2 × 1 = 1 + 3 – 4 × 1 = 1 + 3 – 4 = 4 – 4 = 0 ≠ 5
So, only the third option satisfies the given equation. Hence, the third option is correct.
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