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Q.

At a certain conference of 100 people, there are 29 Indian women and 23 Indian men. Of these Indian people 4 arcdoctors and 24 are either men or doctors. There are no foreign doctors. How many foreigners and women doctorsare attending the conference?

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a

18,1

b

34,3

c

46,4

d

42,2

answer is A.

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Detailed Solution

See the following Venn diagram.     n(I)=29+23=52,    n(F)=100−52=48,    n(M∪D)=n(M)+n(D)−n(M∩D)⇒    24=23+4−n(M∩D)∴    n(M∩D)=3∴    n(W∩D)=4−3=1
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