In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates app

examrobotsa's picture

Submitted by examrobotsa on

Q: 98 (CAPF/2017)
In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates appeared in the examination ?

question_subject: 

Maths

question_exam: 

CAPF

stats: 

0,7,2,1,7,0,1

keywords: 

{'examination': [0, 0, 1, 1], 'total candidates': [0, 0, 0, 1], 'mathematics': [0, 1, 0, 0], 'subjects': [5, 2, 6, 8], 'candidates': [3, 4, 1, 6], 'number': [0, 0, 0, 2], 'english': [1, 0, 0, 0]}

The provided answer is correct.

The first step to solving this problem is to determine the number of candidates who failed in both Mathematics and English. Since 10% of the candidates failed in both subjects, this means that the remaining 90% passed in at least one subject.

We are given that 292 candidates passed in both subjects. Since this represents 90% of the total candidates, we can set up an equation to solve for the total number of candidates.

Let x be the total number of candidates:

0.9x = 292

Solving this equation, we find that:

x = 292 / 0.9 ≈ 324.44

Since the number of candidates must be a whole number, we can conclude that the closest option is 400, which is option 2. Therefore, the correct answer is option 2.

Alert - correct answer should be 324