Question 41

In a group of 15 women, 7 have nose studs, 8 have ear rings and 3 have neither. How many of these have both nose studs and ear rings?

Solution

Let number of women that have both be $$b$$

Then, according to ques, $$a+b=7$$ and $$b+c=8$$ and $$d=3$$

Also, $$a+b+c+d=15$$

=> $$a+b+c=12$$ -----------------(2)

Substituting value of $$(a+b)$$ in equation 2, => $$c=12-7=5$$

and thus $$b=3$$

$$\therefore$$ Number of women having both nose studs and ear rings = 3

=> Ans - (C)

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