Question : Directions: By interchanging the given two signs which of the following equations will be not correct? + and – I. 4 × 6 + 7 – 3 ÷ 1 = 21 II. 6 × 9 + 7 – 8 ÷ 2 = 51
Option 1: Only I
Option 2: Both I and II
Option 3: Neither I nor II
Option 4: Only II
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Correct Answer: Only I
Solution : Given: I. 4 × 6 + 7 – 3 ÷ 1 = 21 II. 6 × 9 + 7 – 8 ÷ 2 = 51
After interchanging + and – the equations become – First equation: 4 × 6 – 7 + 3 ÷ 1 = 21 Solving the L.H.S. of the equation – = 4 × 6 – 7 + 3 ÷ 1 = 4 × 6 – 7 + 3 = 24 – 7 + 3 = 17 + 3 = 20 = 20 ≠ 21 Second equation: 6 × 9 – 7 + 8 ÷ 2 = 51 Solving the L.H.S. of the equation – = 6 × 9 – 7 + 8 ÷ 2 = 6 × 9 – 7 + 4 = 54 – 7 + 4 = 51 = 51 ⇒ L.H.S = R.H.S.
So, the first equation doesn't satisfy the R.H.S. of the equation. Hence, the first option is correct.
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