Quantitative Aptitude Ques 1886

Question: Out of four numbers, the average of the first three is 16 and that of the last three is 15. If the last number is 20, then the first number is

Options:

A) 25

B) 21

C) 23

D) 28

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the four number be a, b, c and d. Given, $ \frac{a+b+c}{3}=16 $ i.e. $ a+b+c=48 $

$ \Rightarrow $ $ \frac{b+c+d}{3}=15 $
$ \Rightarrow $ $ b+c+d=45 $ But last number, d = 20 $ b+c+20=45 $
$ \Rightarrow $ $ b+c=25 $

$ \therefore $ $ a=48-25 $
$ \Rightarrow $ $ a=23 $ So, first number is 23.