Question : Directions: By interchanging the given two signs which of the following equations will be correct?
+ and –
Option 1: 7 – 5 × 3 + 24 ÷ 6 = 7
Option 2: 20 ÷ 4 – 5 × 6 + 3 = 32
Option 3: 4 + 5 × 2 – 9 ÷ 3 = 5
Option 4: 7 × 3 – 10 + 8 ÷ 2 = 29
Correct Answer: 20 ÷ 4 – 5 × 6 + 3 = 32
Solution :
Given:
+ and –
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
7 – 5 × 3 + 24 ÷ 6 = 7
⇒ 7 + 5 × 3 – 24 ÷ 6 = 7
= 7 + 15 – 4
= 18 ≠ 7
Second option:
20 ÷ 4 – 5 × 6 + 3 = 32
⇒ 20 ÷ 4 + 5 × 6 – 3 = 32
= 5 + 30 – 3
= 32
Third option:
4 + 5 × 2 – 9 ÷ 3 = 5
⇒ 4 – 5 × 2 + 9 ÷ 3 = 5
= 4 – 10 + 3
= –3 ≠ 5
Fourth option:
7 × 3 – 10 + 8 ÷ 2 = 29
⇒ 7 × 3 + 10 – 8 ÷ 2 = 29
= 21 + 10 – 4
= 27 ≠ 29
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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