Question : Directions: By interchanging which two signs the given equation will be correct?
12 ÷ 16 – 8 + 14 × 2 = 38
Option 1: – and ÷
Option 2: × and ÷
Option 3: ÷ and +
Option 4: + and ×
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Correct Answer: – and ÷
Solution :
Given:
12 ÷ 16 – 8 + 14 × 2 = 38
Replace the given signs in the options one by one with the original signs in the given equation.
First option:
– and ÷
⇒ 12 – 16 ÷ 8 + 14 × 2
= 12 – 2 + 28
= 38 = R.H.S.
Second option:
× and ÷
⇒ 12 × 16 – 8 + 14 ÷ 2
= 192 – 8 + 7
= 191 ≠ 38
Third option:
÷ and +
⇒ 12 ÷ 16 – 8 + 14 × 2
= 0.75 – 8 + 28
= 20.75 ≠ 38
Fourth option:
+ and ×
⇒ 12 ÷ 16 – 8 × 14 + 2
= 0.75 – 112 + 2
= 109.75 ≠ 38
So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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