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.
BETA
