Question

Thirty per cent of the employees of a call centre are males. Ten per cent of the female employees have an engineering background. What is the percentage of male employees with engineering background?
A: Twenty five per cent of the employees have engineering background.
B: Number of male employees with engineering background is 20% more than the number of female employees with engineering background.

• A. if the question can be answered using A alone but not by using B alone.
• B. if the question can be answered using B alone but not by using A alone.
• C. if the question can be answered using either of the statements alone.
• D. if the question can be answered using both the statements together but not by either of the statements alone.
• E. if the question cannot be answered on the basis of the two statements.

Hint:

Always set a total (like 100) for percentage DS problems; it simplifies ratio calculations.

Answer 1

The Correct Option is D

Let total = 100, males = 30, females = 70. Female engineers = 10% of 70 = 7.
A: total engineers = 25 → male engineers = 18 → % male engineers = 18/30 × 100 = 60% (sufficient with B’s value to verify).
B: male engineers = 1.2 × 7 = 8.4; alone insufficient to get percentage without total count.
Together: both give exact male engineer percentage.