Question : Directions: Which two symbols from amongst the given options should be interchanged to make the given equation correct?
272 ÷ 17 – 196 ÷ (5 × 3 + 1) = 30
Option 1: × and –
Option 2: × and +
Option 3: + and ÷
Option 4: + and –
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Correct Answer: + and –
Solution :
Given:
272 ÷ 17 – 196 ÷ (5 × 3 + 1) = 30
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
× and –
Solving the L.H.S. of the equation –
= 272 ÷ 17 × 196 ÷ (5 – 3 + 1)
= 16 × 196 ÷ 3
= 16 × 65.34
= 1045.34 ≠ 30
Second option:
× and +
Solving the L.H.S. of the equation –
= 272 ÷ 17 – 196 ÷ (5 + 3 × 1)
= 16 – 196 ÷ 8
= –8.5 ≠ 30
Third option:
+ and ÷
Solving the L.H.S. of the equation –
= 272 + 17 – 196 + (5 × 3 ÷ 1)
= 289 – 181
= 108 ≠ 30
Fourth option:
+ and –
Solving the L.H.S. of the equation –
= 272 ÷ 17 + 196 ÷ (5 × 3 – 1)
= 16 + 14
= 30 = R.H.S.
So, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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