Question : Directions: Which two signs should be interchanged to make the given equation correct? 5 × 6 –7 + 24 ÷ 12 = 35
Option 1: + and =
Option 2: + and –
Option 3: = and –
Option 4: × and –
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Correct Answer: + and –
Solution : Given: 5 × 6 – 7 + 24 ÷ 12 = 35
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: + and = 5 × 6 – 7 = 24 ÷ 12 +35 ⇒ 30 – 7 = 2 + 35 ⇒ 23 ≠ 37 Second option: + and – 5 × 6 + 7 – 24 ÷ 12 = 35 = 5 × 6 + 7 – 2 = 30 + 7 – 2 ⇒35 = 35 Third option: = and – 5 × 6 = 7 + 24 ÷ 12 – 35 ⇒ 30 = 7 + 2 – 35 ⇒ 30 ≠ –26 Fourth option: x and – 5 – 6 × 7 + 24 ÷ 12 = 35 ⇒ 5 – 6 × 7 + 2 ⇒ 5 – 42 + 2 ⇒ – 35 ≠ 35
So, only the second option satisfies the R.H.S. of the equation. Hence, the second option is correct.
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