Question : Directions: Which two numbers from amongst the given options should be interchanged to make the given equation correct?
(42 ÷ 7) × 5 = 30 × 120 ÷ (10 + 5 × 2)
Option 1: 10 and 5
Option 2: 2 and 5
Option 3: 7 and 2
Option 4: 10 and 30
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Correct Answer: 10 and 30
Solution :
Given:
(42 ÷ 7) × 5 = 30 × 120 ÷ (10 + 5 × 2)
Replace the given numbers in the options with the original numbers in the given equation.
First option:
10 and 5
⇒ (42 ÷ 7) × 10 = 30 × 120 ÷ (5 + 10 × 2)
⇒ 6 × 10 = 30 × 4.8
⇒ 60 ≠ 144
Second option:
2 and 5
⇒ (42 ÷ 7) × 2 = 30 × 120 ÷ (10 + 2 × 5)
⇒ 6 × 2 = 30 × 120 ÷ (10 + 10)
⇒ 12 = 30 × 120 ÷ 20
⇒ 12 ≠ 180
Third option:
7 and 2
⇒ (42 ÷ 2) × 5 = 30 × 120 ÷ (10 + 5 × 7)
⇒ (21) × 5 = 30 × 120 ÷ (45)
⇒ 105 = 30 × 2.67
⇒ 105 ≠ 80
Fourth option:
10 and 30
⇒ (42 ÷ 7) × 5 = 10 × 120 ÷ (30 + 5 × 2)
⇒ (6) × 5 = 10 × 120 ÷ (40)
⇒ 30 = 10 × 120 ÷ 40
⇒ 30 = 10 × 3
⇒ 30 = 30
So, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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