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In an examination 35% of total students failed in Hindi , 45%  failed English and 20% in both .Find the percentage of

those who passed in both the subjects .


Options:
A .  40%
B .  42%
C .  43%
D .  44%
Answer: Option A

Then A and B be the sets of students who failed in Hindi  and English respectively

Then , n(A) = 35,  n(B) = 45,  n`(A nn B)` =  20

so,  n`(A uu B)` =  n(A) + n(B) - n`(A nn B)` = (35 + 45 - 20) = 60

`:.`    percentage failed in Hindi or English  or both = 60%

Hence ,percentage passed = (100 - 60)% =  40%.




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