Question

In an examination, 35% candidates failed in one subject and 42% failed in another subject while 15% failed in both the subjects. If 2500 candidates appeared at the examination, how many passed in either subject but not in both?

(a) 1375
(b) 1500
(c) 1625
(d) 1750

Answer 1

To find the number of candidates who passed in either subject but not in both, subtract the number of candidates who failed in both subjects from the total number of candidates who failed in one subject or the other. Plugging in the given values, the number of candidates who passed in either subject but not in both is 1375.

Step-by-step explanation:

To find the number of candidates who passed in either subject but not in both, we need to subtract the number of candidates who failed in both subjects from the total number of candidates who failed in one subject or the other.

Let's denote the number of candidates who failed in Subject 1 as x and the number of candidates who failed in Subject 2 as y. We are given that x = 35% of the total candidates and y = 42% of the total candidates.

Since 15% of the candidates failed in both subjects, we can express this as 0.15 times the total number of candidates.

So, the number of candidates who failed in either subject but not in both is x + y - 0.15 times the total number of candidates. Plugging in the given values, we get:

Number of candidates who passed in either subject but not in both = 0.35 times 2500 + 0.42 times 2500 - 0.15 times 2500 = 1375.