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MY GMAIL

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· 1 Months ago

doubt clearing of set theory set 1 question 3 (Question:98638.0)

The mathematical expression (5+x) of the given equation is not understood.

Question:
In a survey of 100 students it was found that 50 used the college library 40 had their own library and 30 borrowed books of these, 20 used both the college library and their own, 15 used their own library and borrowed books and 10 used the college library and borrowed books. How many students used all the three sources of books ?
Options:
A) 30
B) 28
C) 20
D) 25
Solution:

Ans:  (d) A → College library B → Own library, C → borrow books → and let x → All the three sources, then


Now given

100 = (20 + x) + (5 + x) + (5 + x) + (20 -  x) +(10 - x) + (15 - x) + x

⇒ x = 25

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