Question : Directions: By Interchanging the given two numbers which of the following equations will be correct?
4 and 6
Option 1: 4 ÷ 2 + 3 – 6 × 5 = –14
Option 2: 9 ÷ 3 + 6 × 5 – 4 = 18
Option 3: 4 × 3 + 6 – 2 ÷ 1 = 21
Option 4: 4 – 6 ÷ 2 + 3 × 5 = 20
Correct Answer: 4 ÷ 2 + 3 – 6 × 5 = –14
Solution :
Given:
4 and 6
Replace the given numbers in the options one by one with the original numbers in the given equation.
First option:
4 ÷ 2 + 3 – 6 × 5 = –14
⇒ 6 ÷ 2 + 3 – 4 × 5
= 3 + 3 – 20
= –14
Second option:
9 ÷ 3 + 6 × 5 – 4 = 18
⇒ 9 ÷ 3 + 4 × 5 – 6
= 3 + 20 – 6
= 17 ≠ 18
Third option:
4 × 3 + 6 – 2 ÷ 1 = 21
⇒ 6 × 3 + 4 – 2 ÷ 1
= 18 + 4 – 2
= 20 ≠ 21
Fourth option:
4 – 6 ÷ 2 + 3 × 5 = 20
⇒ 6 – 4 ÷ 2 + 3 × 5
= 6 – 2 + 15
= 19 ≠ 20
So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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