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Question : Directions: Which two signs should be interchanged to make the given equation correct?
8 = 5 – 31 + 12 ÷ 2 × 15

Option 1: + and ÷

Option 2: × and =

Option 3: ÷ and –

Option 4: – and +


Team Careers360 10th Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

Correct Answer: × and =


Solution : Given:
8 = 5 – 31 + 12 ÷ 2 × 15

Replace the given symbols in the options one by one with the original symbols in the given equation.
First option: + and ÷
⇒ 8 = 5 – 31 ÷ 12 + 2 × 15
Solving the R.H.S. of the equation –
= 5 – 2.58 + 30
= 32.42 ≠ 8
Second option: × and =
⇒ 8 × 5 – 31 + 12 ÷ 2 = 15
Solving the L.H.S. of the equation –
= 8 × 5 – 31 + 6
= 40 – 31 + 6
= 15 = R.H.S.
Third option: ÷ and –
⇒ 8 = 5 ÷ 31 + 12 – 2 × 15
Solving the R.H.S. of the equation –
= 0.16 + 12 – 30
= –17.84 ≠ 8
Fourth option: – and +
⇒ 8 = 5 + 31 – 12 ÷ 2 × 15
Solving the R.H.S. of the equation –
= 5 + 31 – 6 × 15
= 5 + 31 – 90
= 36 – 90
= –54 ≠ 8

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

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