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In an examination, 34% of the students failed in mathematics and 42% failed in English . If 20% of the students  failed in both  the subjects , then the percentage  of students who passed in both the subjects was :


Options:
A .  44
B .  50
C .  54
D .  56
Answer: Option A

n(A) = 34, n(B) = 42, n`(A nn B)` =  20.

So,  n`(A uu B)= n(A) + n(B) - n(A nn B)` =  34 + 42 - 20 =  56.

`:.`  percentage failed in either or both the subjects =  56.

 Hence,percentage passed = (100 - 56)% =  44%




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