Question : Directions: Which two signs should be interchanged to make the given equation correct?
171 ÷ 3 – 16 + 72 × 412 = 572
Option 1: × and –
Option 2: ÷ and –
Option 3: + and ÷
Option 4: – and +
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Correct Answer: × and –
Solution :
Given:
171 ÷ 3 – 16 + 72 × 412 = 572
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
× and –
= 171 ÷ 3 × 16 + 72 – 412
= 57 × 16 + 72 – 412
= 912 + 72 – 412
= 984 – 412
= 572
Second option:
÷ and –
= 171 – 3 ÷ 16 + 72 × 412
= 171 – 0.1875 + 72 × 412
= 171 – 0.1875 + 29664
= 29835 – 0.1875
= 29834.8125
≠
572
Third option:
+ and ÷
= 171 + 3 – 16 ÷ 72 × 412
= 171 + 3 – 0.22 × 412
= 171 + 3 – 90.64
= 174 – 90.64
= 83.36
≠
572
Fourth option:
– and +
= 171 ÷ 3 + 16 – 72 × 412
= 57 + 16 – 72 × 412
= 57 + 16 – 29664
= 73 – 29664
= –29591
≠
572
Here, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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