Question : Directions: Which two symbols from amongst the given options should be interchanged to make the given equation correct? (35 – 2) × 3 = (56 × 8 ÷ 3 + 100) × 11
Option 1: ÷ and +
Option 2: × and ÷
Option 3: + and –
Option 4: × and –
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Correct Answer: × and ÷
Solution : Given: (35 – 2) × 3 = (56 × 8 ÷ 3 + 100) × 11
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: ÷ and + ⇒ (35 – 2) × 3 = (56 × 8 + 3 ÷ 100) × 11 ⇒ 99 = (448 + 0.033) × 11 ⇒ 99 ≠ 4928.33 Second option: × and ÷ ⇒ (35 – 2) ÷ 3 = (56 ÷ 8 × 3 + 100) ÷ 11 ⇒ 11 = (21 +100) ÷ 11 ⇒ 11 = 11 Third option: + and – ⇒ (35 + 2) × 3 = (56 × 8 ÷ 3 – 100) × 11 ⇒ 117 = (149.34 – 100) × 11 ⇒ 117 ≠ 4.48 Fourth option: × and – ⇒ (35 × 2) – 3 = (56 – 8 ÷ 3 + 100) –11 ⇒ 67 = 153.33 –11 ⇒ 67 ≠ 142.33
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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