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Question : Directions: Which of the following interchanges of signs would make the given equation correct?
110 ÷ 20 + 5 × 13 – 9 = 153

Option 1: × and +

Option 2: ÷ and +

Option 3: – and ×

Option 4: + and –


Team Careers360 13th Jan, 2024
Answer (1)
Team Careers360 19th Jan, 2024

Correct Answer: ÷ and +


Solution : Given:
110 ÷ 20 + 5 × 13 – 9

Replace the given symbols in the options one by one with the original symbols in the given equation.
First option: + and ×
= 110 ÷ 20 × 5 + 13 – 9
= 5.5 × 5 + 13 – 9
= 27.5 + 4
= 31.5 ≠ 153
Second option: ÷ and +
= 110 + 20 ÷ 5 × 13 – 9
= 110 + 4 × 13 – 9
= 110 + 52 – 9
= 153
Third option: – and ×
= 110 ÷ 20 + 5 – 13 × 9
= 5.5 + 5 – 117
= –106.5 ≠ 153
Fourth option: + and –
= 110 ÷ 20 – 5 × 13 + 9
= 5.5 – 65 + 9
= 14.5 – 65
= –50.5 ≠ 153

Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.

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