Question : Directions: By interchanging the given two signs which of the following equations will be not correct? + and ÷
Option 1: 18 + 6 – 6 ÷ 3 × 3 = 6
Option 2: 18 + 2 × 6 ÷ 3 – 7 = 50
Option 3: 7 × 8 ÷ 4 + 2 – 6 = 49
Option 4: 6 × 9 + 3 – 24 ÷ 8 = 2
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Correct Answer: 7 × 8 ÷ 4 + 2 – 6 = 49
Solution : Given: Interchange + and ÷
First option: 18 + 6 – 6 ÷ 3 × 3 = 6 Interchanging + and ÷, and solving the L.H.S. we get, 18 ÷ 6 – 6 + 3 × 3 = 3 – 6 + 3 × 3 = 3 – 6 + 9 = 3 + 3 = 6 = R.H.S Second option: 18 + 2 × 6 ÷ 3 – 7 = 50 Interchanging + and ÷, and solving the L.H.S. we get, 18 ÷ 2 × 6 + 3 – 7 = 9 × 6 + 3 – 7 = 54 + 3 – 7 = 57 – 7 = 50 = R.H.S Third option: 7 × 8 ÷ 4 + 2 – 6 = 49 Interchanging + and ÷, and solving the L.H.S. we get, 7 × 8 + 4 ÷ 2 – 6 = 7 × 8 + 2 – 6 = 56 + 2 – 6 = 58 – 6 = 52 ≠ R.H.S Fourth option: 6 × 9 + 3 – 24 ÷ 8 = 2 Interchanging + and ÷, and solving the L.H.S. we get, 6 × 9 ÷ 3 – 24 + 8 = 6 × 3 – 24 + 8 = 18 – 24 + 8 = – 6 + 8 = 2 = R.H.S
So, only in the third option L.H.S. ≠ R.H.S. of the given equation. Hence, the third option is correct.
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