Question : Directions: Which two numbers from amongst the given options should be interchanged to make the given equation correct?
(63 ÷ 9 + 17) ÷ 11 = 15 – 195 ÷ 17 – 2
Option 1: 11 and 15
Option 2: 17 and 15
Option 3: 195 and 63
Option 4: 2 and 15
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Correct Answer: 17 and 15
Solution :
Given:
(63 ÷ 9 + 17) ÷ 11 = 15 – 195 ÷ 17 – 2
Replace the given numbers in the options one by one with the original numbers in the given equation.
First option:
11 and 15
⇒ (63 ÷ 9 + 17) ÷ 15 = 11 – 195 ÷ 17 – 2
⇒ 24 ÷ 15 = 11 – 11.47 – 2
⇒ 1.6 ≠ 9.47
Second option:
17 and 15
⇒ (63 ÷ 9 + 15) ÷ 11 = 17 – 195 ÷ 15 – 2
⇒ 22 ÷ 11 = 17 – 13 – 2
⇒ 2 = 2
Third option:
195 and 63
⇒ (195 ÷ 9 + 17) ÷ 11 = 15 – 63 ÷ 17 – 2
⇒ 21.67 ÷ 11 = 15 – 3.70 – 2
⇒ 1.97 ≠ 9.30
Fourth option:
2 and 15
⇒ (63 ÷ 9 + 17) ÷ 11 = 2 – 195 ÷ 17 – 15
⇒ 24 ÷ 11 = 2 – 11.47 – 15
⇒ 2.18 ≠ –24.47
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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