Question : Directions: By Interchanging the given two numbers which of the following equations will be correct?
5 and 9
Option 1: 9 – 5 × 4 + 6 ÷ 3 = 30
Option 2: 9 × 3 + 5 ÷ 1 – 6 = 20
Option 3: 7 × 9 + 5 – 8 ÷ 4 = 40
Option 4: 9 × 4 + 5 – 8 ÷ 2 = 25
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Correct Answer: 9 × 4 + 5 – 8 ÷ 2 = 25
Solution :
Given:
Interchange 5 and 9
Interchanging 5 and 9 in each of the given options.
Let's check each option –
First option:
9 – 5 × 4 + 6 ÷ 3 = 30
5 – 9 × 4 + 6 ÷ 3
= 5 – 9 × 4 + 2
= 5 – 36 + 2
= 5 – 38
= – 33 ≠ 30
Second option:
9 × 3 + 5 ÷ 1 – 6 = 20
5 × 3 + 9 ÷ 1 – 6
= 5 × 3 + 9 – 6
= 15 + 9 – 6
= 24 – 6
= 18 ≠ 20
Third option:
7 × 9 + 5 – 8 ÷ 4 = 40
7 × 5 + 9 – 8 ÷ 4
= 7 × 5 + 9 – 2
= 35 + 9 – 2
= 44 – 2
= 42 ≠ 40
Fourth option:
9 × 4 + 5 – 8 ÷ 2 = 25
5 × 4 + 9 – 8 ÷ 2
= 5 × 4 + 9 – 4
= 20 + 9 – 4
= 29 – 4
= 25 = R.H.S.
So, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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