Question

6. In my office the average age of all the female employees is 21
years and that of male employees is 32 years, where the
average age of all the (male and female) employees is 28
years. The total no. of employees in my office could be :
(a) 35
(b) 78
(C) 231
(d) 90​

Answer 1

Answer:

(C) 231

Step-by-step explanation:

x - no. of females

y - no. of males

then, ((21x+32y)/(x+y)) = 28

i.e. (y/x) = (7/4)

therefore, x+y = 11x/4

Let, total number of employees = A

11x/4 = A

so, x = 4A/11

As x will neccessarily be a whole number, A is a multiple of 11

Hence Total no. of employees is multiple of 11, only option (C)231 satisfies the required condition.