Question : Directions: By interchanging the given two signs which of the following equations will be correct?
÷ and +
Option 1: 8 + 4 × 5 ÷ 2 – 6 = 7
Option 2: 16 + 8 × 2 ÷ 6 – 4 = 8
Option 3: 18 + 2 × 6 ÷ 3 – 7 = 50
Option 4: 11 + 8 × 16 ÷ 4 – 7 = 20
Correct Answer: 18 + 2 × 6 ÷ 3 – 7 = 50
Solution :
Given:
÷ and +
Interchange the given signs in the options one by one with the original signs in the given equation.
First option:
8 + 4 × 5 ÷ 2 – 6 = 7
⇒ 8 ÷ 4 × 5 + 2 – 6 = 7
= 10 + 2 – 6
= 6 ≠ 7
Second option:
16 + 8 × 2 ÷ 6 – 4 = 8
⇒ 16 ÷ 8 × 2 + 6 – 4 = 8
= 4 + 6 – 4
= 6 ≠ 8
Third option:
18 + 2 × 6 ÷ 3 – 7 = 50
⇒ 18 ÷ 2 × 6 + 3 – 7 = 50
= 54 + 3 – 7
= 50 = R.H.S.
Fourth option:
11 + 8 × 16 ÷ 4 – 7 = 20
⇒ 11 ÷ 8 × 16 + 4 – 7 = 20
= 22 + 4 – 7
= 19 ≠ 20
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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