Question : Directions: Which two signs should be interchanged to make the following equation correct?
22 – 16 ÷ (3 × 4) + 6 = 8
Option 1: ÷ and +
Option 2: – and ×
Option 3: – and +
Option 4: ÷ and ×
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Correct Answer: ÷ and +
Solution :
Given:
22 – 16 ÷ (3 × 4) + 6 = 8
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
÷ and +
= 22 – 16 + (3 × 4) ÷ 6
= 6 + 12 ÷ 6
= 8
Second option:
– and ×
= 22 × 16 ÷ (3 – 4) + 6
= –352 + 6
= –346 ≠ 8
Third option:
– and +
= 22 + 16 ÷ (3 × 4) – 6
= 22 + 16 ÷ 12 – 6
= 22 + 1.34 – 6
= 17.34 ≠ 8
Fourth option:
÷ and ×
= 22 – 16 × (3 ÷ 4) + 6
= 22 – 16 × 0.75 + 6
= 22 – 12 + 6
= 16 ≠ 8
Here, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct
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