Quantitative Aptitude Ques 845

Question: The average of three numbers is 135. The largest number is 195 and the difference between the other two is 20. The smallest number is

Options:

A) 65

B) 95

C) 106

D) 115

E) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • Average of three number $ =135 $

$ \therefore $ Sum of three numbers $ =3\times 135=405 $ Let the remaining number be $ x $ and $ x+20 $ Then, $ 195+x+(x+20)=405 $

$ \Rightarrow $ $ 2x+215=405 $

$ \Rightarrow $ $ 2x=190 $
$ \Rightarrow $ $ x=95 $

$ \therefore $ Smallest number $ =x=95 $

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