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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