Quantitative Aptitude Ques 1438

Question: The average age of board of directors of a company, having 10 directors was 48 yr. coincidentally when a director aged 53 resigned from the board of directors, another director died on the same day. So, a new director joined the board of directors aged 34. Next year in the same month, the average age of the all 9 directors was found to be 46 yr. The age of the late (i.e. dead) director at the time of his death was

Options:

A) 56 yr

B) 53 yr

C) 57 yr

D) 61 yr

Show Answer

Answer:

Correct Answer: A

Solution:

  • Number of direction Average age Total age Just before death and resignation 10 48 480 Just after death and resignation 9 $ [480-(53+x)+34] $ One year later 9 46 414 One year later, total age is $ 480-(53+x)+34+9\times 1=414 $

$ \Rightarrow $ $ x=56yr $ where, x is the age of the death person at the time of his death.