In a book readers club of 26 readers, everyone reads at least one of the three types of books
namely Biographies (B), History (H), and Science Fiction (S). If it is known that 19 read
exactly one of B, H,S; and 7 read exactly any two of B, H,S; and only three read both B and
H but not S. Using this information answer the questions from 192 to 194.
192. If two read both Band S but not H, then the number of persons who read B is :
(A12
(B) 14
(C) 15
(D) 16
193. How many read all the three types of books ?
(A) O
(B) 1
(C) 2
(D)3
194. How many read both B and H
(A)3
(B)4
(C) 5
(D)6
Answers
- Answer:
- 192=B
- 193=D
- 194=3
- this is correct answer I gave It was so simple
read all the three types of books = 0 , read both B and H = 3
Step-by-step explanation:
In a book readers club of 26 readers
=> Total = 26
everyone reads at least one of the three types of books
=> none = 0
19 read exactly one of B, H,S;
=> only B + only H + only S = 19
7 read exactly any two of B, H,S
=> (B ∩ H - B ∩ H ∩ S) + (H ∩ S - B ∩ H ∩ S ) + B ∩ S - ( B ∩ H ∩ S) = 7
Total = only one + Only two + all three - none
=> 26 = 19 + 7 + all three - 0
=> all three = 0
=> all three = B ∩ H ∩ S = 0
read all the three types of books = 0
read both B and H = only B ∩ H + B ∩ H ∩ S
three read both B and H but not S
=> only B ∩ H = 3
=> B ∩ H = 3 + 0
=> B ∩ H = 3
read both B and H = 3
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