d Question : In an examination every candidate took science or civics or both. 65.8% took science and 59.2% took civics. If the total number of candidates was 2000, how many took both? | Job Exam Rare Mathematics (JEMrare) - Solved MCQs

# Question : In an examination every candidate took science or civics or both. 65.8% took science and 59.2% took civics. If the total number of candidates was 2000, how many took both?

Question : In an examination every candidate took science or civics or both. 65.8% took science and 59.2% took civics. If the total number of candidates was 2000, how many took both?

—  question on set theory, out of forty students, there are ,triple venn diagram worksheet, union formula for 3 sets,—

Solution:

Science = 65.8%

Civics= 59.2%

Total candidates = 2000

Both Subject Candidates = ?

We know the formula;

Science subject candidates + Civics subject candidates – Both subject candidates = Total candidates

$65.8%+59.2%-Both subject candidates %= 100%$

$Both subject candidates %age = 65.8%+59.2%-100%$

$==> Both subject candidates %age = 125%-100%=25%$

$==> Both subject candidates %age= 25%$

So, 25% out of 2000 candidates opt for both the subjects;

$so, 25% of 2000 = \frac{25}{100} \times 2000$

$= 500$

So, 500 candidates took both science and civics

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