Question : Directions: By interchanging the given two signs which of the following equations will be not correct? × and –
Option 1: 15 + 5 ÷ 1 – 9 × 4 = 70
Option 2: 5 – 6 × 3 + 16 ÷ 4 = 31
Option 3: 11 + 6 × 3 – 8 ÷ 2 = 5
Option 4: 15 – 4 × 3 + 6 ÷ 1 = 63
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Correct Answer: 15 + 5 ÷ 1 – 9 × 4 = 70
Solution : Let's check the options – First option: 15 + 5 ÷ 1 – 9 × 4 = 70 On interchanging the mathematical signs, we get – ⇒ 15 + 5 ÷ 1 × 9 – 4 = 70 Solving the L.H.S. of the equation – = 15 + 5 × 9 – 4 = 15 + 45 – 4 = 60 – 4 = 56 ≠ 70 Second option: 5 – 6 × 3 + 16 ÷ 4 = 31 On interchanging the mathematical signs, we get – ⇒ 5 × 6 – 3 + 16 ÷ 4 = 31 Solving the L.H.S. of the equation – = 5 × 6 – 3 + 4 = 30 – 3 + 4 = 34 – 3 = 31 Third option: 11 + 6 × 3 – 8 ÷ 2 = 5 On interchanging the mathematical signs, we get – ⇒ 11 + 6 – 3 × 8 ÷ 2 = 5 Solving the L.H.S. of the equation – = 11 + 6 – 3 × 4 = 11 + 6 – 12 = 17 – 12 = 5 Fourth option: 15 – 4 × 3 + 6 ÷ 1 = 63 On interchanging the mathematical signs, we get – ⇒ 15 × 4 – 3 + 6 ÷ 1 = 63 Solving the L.H.S. of the equation – = 15 × 4 – 3 + 6 = 60 – 3 + 6 = 66 – 3 = 63
So, only the first option does not satisfy the given equation. Hence, the first option is correct.
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