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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