Question : Directions: Which two signs should be interchanged to make the given equation correct?
31 ÷ 48 × 7 – 322 + 23 = 353
Option 1: ÷ and –
Option 2: – and ×
Option 3: × and +
Option 4: ÷ and +
Correct Answer: ÷ and +
Solution :
Given:
31 ÷ 48 × 7 – 322 + 23 = 353
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
÷ and –
= 31 – 48 × 7 ÷ 322 + 23
= 31 – 1.043 + 23
= 52.96 ≠ 353
Second option:
– and ×
= 31 ÷ 48 – 7 × 322 + 23
= 0.65 – 2254 + 23
= –2230.35 ≠ 353
Third option:
× and +
= 31 ÷ 48 + 7 – 322 × 23
= 0.65 + 7 – 7406
= –7398.35 ≠ 353
Fourth option:
÷ and +
= 31 + 48 × 7 – 322 ÷ 23
= 31 + 336 – 14
= 353
Here, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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