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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 +


Team Careers360 22nd Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

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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