CAT 2007 — QA Question 29
Answer the next 2 questions based on the information given below.
Let a1 = p and b1 = q, where p and q are positive quantities.
Define:
an = pbn−1 bn = qbn−1, for even n > 1 and
an = pan − 1 bn = qan − 1, for odd n > 1.
Each question is followed by two statements, I and II. Answer each question using the following instructions:
Mark (1) if the question can be answered by using statement I alone but not by using statement II alone.
Mark (2) if the question can be answered by using statement II alone but not by using statement I alone.
Mark (3) if the question can be answered by using either of the statements alone.
Mark (4) if the question can be answered by using both the statements together but not by either of the statements alone.
Mark (5) if the question cannot be answered by using any of the statements.
Thirty percent 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?
I. Twenty five per cent of the employees have engineering background.
II. Number of male employees having an engineering background is 20% more than the number of female employees having an engineering background.
Answer & solution
- A
1
- B
2
3
- D
4
- E
5
Let there be 100x employees. So, 30x are male and 70x are female.
∴ 7x female employees have an engineering background.
From statement I, 25x employees have an engineering background.
∴ 18x male employees have an engineering background.
Required percentage = 18x × 100/ 30x
Statement I is sufficient.
From Statement II, Number of male employees having an engineering background = 1.2 × 7x
Required percentage = 1.2 × 7x × 100/30x
Hence, option (c).