Question : Directions: Which two signs should be interchanged to make the given equation correct? 68 ÷ 2 – 42 + 108 × 12 = 103
Option 1: = and –
Option 2: + and –
Option 3: ÷ and ×
Option 4: ÷ and +
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Correct Answer: ÷ and ×
Solution : Given: 68 ÷ 2 – 42 + 108 × 12 = 103
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: = and – 68 ÷ 2 = 42 + 108 × 12 – 103 L.H.S.→68 ÷ 2 = 34 R.H.S.→42 + 108 × 12 – 103 = 42 + 1296 – 103 = 1235 ≠ 34 L.H.S. ≠ R.H.S. Second option: + and – L.H.S.→68 ÷ 2 + 42 – 108 × 12 = 34 + 42 – 108 × 12 = 34 + 42 – 1296 = –1220 ≠ 103 Third option: ÷ and × L.H.S.→68 × 2 – 42 + 108 ÷ 12 = 68 × 2 – 42 + 9 = 136 – 42 + 9 = 103 = R.H.S. Fourth option: ÷ and + L.H.S.→ 68 + 2 – 42 ÷ 108 × 12 = 68 + 2 – 0.38 × 12 = 68 + 2 – 4.66 = 65.34 ≠ 103
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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