Question

# In an examination, 70% students passed in Physics, 80% students passed in Chemistry, 75% students passed in Mathematics and 85% students passed in Biology, and x% students failed in all the four subjects. What is the minimum value of x?

A
10
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B
12
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C
15
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D
None of the above
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Solution

## The correct option is C 1530% student failed in PHY20% student failed in CHEM25% student failed in MATHS15% student failed in BIOTo find minimum value of 'x'we can have all the above cases disjoint.That is, if no student failed in more than 1 subject, we have venn diagram.So xmin=0Since 30+20+25+15<10

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