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

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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

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