Question : Directions: By interchanging the two signs ÷ and + and two numbers 9 and 12 (NOT digits), which of the following equations will NOT be correct? I. 12 × 2 – 72 + 9 ÷ 57 = 69 II. 169 + 13 × 12 ÷ 3 – 9 = 108
Option 1: Neither I nor II
Option 2: Both I and II
Option 3: Only II
Option 4: Only I
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Correct Answer: Neither I nor II
Solution : Given: I. 12 × 2 – 72 + 9 ÷ 57 = 69 II. 169 + 13 × 12 ÷ 3 – 9 = 108
Equation I: 12 × 2 – 72 + 9 ÷ 57 = 69 On interchanging the mathematical signs and numbers, we get – 9 × 2 – 72 ÷ 12 + 57 = 69 On solving the L.H.S. of the equation – = 9 × 2 – 72 ÷ 12 + 57 = 9 × 2 – 6 + 57 = 18 – 6 + 57 = 69 Equation II: 169 + 13 × 12 ÷ 3 – 9 = 108 On interchanging the mathematical signs and numbers, we get – 169 ÷ 13 × 9 + 3 – 12 = 108 On solving the L.H.S. of the equation – = 169 ÷ 13 × 9 + 3 – 12 = 13 × 9 + 3 – 12 = 117 + 3 – 12 = 108
So, neither equation I nor II is incorrect. Hence, the first option is correct.
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Question : Directions: By interchanging the two signs which of the following equations will not be correct? + and × I.15 + 5 ÷ 1 – 9 × 4 = 70 II.18 × 17 + 3 – 6 ÷ 2 = 133
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Option 3: Neither I nor II
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Option 2: Neither I nor II
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