Quantitative Aptitude Ques 923

Question: Out of 4 numbers, whose average is 60, the first one is one-fourth of the sum of the last three. The first number is

Options:

A) 15

B) 45

C) 48

D) 60

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the first number be x. According to the question, First number = (sum of all 4 numbers) $ -( \frac{1}{4}sumoflast3numbers ) $

$ \Rightarrow $ $ x=4\times 60-4x $

$ \Rightarrow $ $ 4x+x=240 $
$ \Rightarrow $ $ 5x=240 $

$ \Rightarrow $ $ x=\frac{240}{5} $
$ \Rightarrow $ $ x=48 $