Question : In an examination, 73% of the candidates passed the quantitative aptitude test, 70% passed the general awareness test, and 64% passed both. If 6300 failed in both subjects, the total number of examinees was:
Option 1: 60000
Option 2: 50000
Option 3: 30000
Option 4: 25000
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Correct Answer: 30000
Solution :
Given:
Passed the quantitative aptitude test = 73%
Passed the general awareness test = 70%
Passed in both subjects = 64%
Failed in both subjects = 6300
Total candidates = 100%
Percentage of candidates who passed in at least one subject = 73% + 70% – 64% = 79%
Percentage of candidates who failed in both subjects = 100% – 79% = 21%
So, 21% is equivalent to 6300.
⇒ 1% is equivalent to $\frac{6300}{21}$.
$\therefore$ 100% is equivalent to $\frac{6300×100}{21}$ = 30000
Hence, the correct answer is 30000.
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