Q.

Out of 100 students 50 fail in English and 30 in Maths. If 12 students fail in both English and Maths, then the number of students passing both the subjects is

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a

26

b

28

c

30

d

32 

answer is D.

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Detailed Solution

Concept- A set is a mathematical concept for a collection of different things. A set includes elements or members, which can be any type of mathematical object.
Here, the total number of students Question ImageNumber of students fail only in English= Question ImageNumber of students fail only in Maths Question ImageNumber of students fail in both Question ImageTherefore, total failing students Question ImageNow, total students pass in both the subjects Question ImageQuestion Image students
Therefore, 32 students have passed in both subjects
Hence, the correct answer is option 4) 32.
 
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