SATHEE: Quantitative Aptitude Ques 5

Quantitative Aptitude Ques 5

Question: There are three positive numbers, one-third of average of all the three numbers is 8 less than the value of the highest number. Average of the lowest and the second lowest number is 8. Which is the highest number?

Options:

A) 11

B) 14

C) 10

D) 9

E) 13

Show Answer

Answer:

Correct Answer: A

Solution:

Let the three positive numbers are x, y and z in increasing order, and average of three numbers be A. According to the question,

$ \Rightarrow $ $ \frac{x+y+z}{3}=A $ (i) Given, $ z-\frac{A}{3}=8 $
$ z-\frac{x+y+z}{9}=8 $ … (ii) Also given that, $ \frac{x+y}{2}=8 $ $ x+y=16 $ … (iii) Put the value of $ (x+y) $ in Eq. (ii), we get $ z-\frac{16+z}{9}=8 $

$ \Rightarrow $ $ \frac{9z-16-z}{9}=8 $

$ \Rightarrow $ $ 8z=72+16=88 $

$ \Rightarrow $ $ z=\frac{88}{8}=11 $ So, highest number is 11.

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Quantitative Aptitude Ques 5

Question: There are three positive numbers, one-third of average of all the three numbers is 8 less than the value of the highest number. Average of the lowest and the second lowest number is 8. Which is the highest number?

Options:

Answer:

Solution:

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