What is the ratio of the boys to the girls enrolled in the HR discipline?

10 : 11

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9 : 10

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7 : 5

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5 : 7

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None of these

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Solution

The correct option is A 10 : 11
Boys $= \frac{7}{15} \times 150 = 70$
Girls $= \frac{8}{15} \times 150 = 80$
We can get the following table from the given information in the question
$\begin{matrix} B o y & G i r l M a r k e t i n g, n (M) & 28 & 40 H R, n (M) & 21 & 24 F i n a n c e, n (F) & 21 & 16 H R + M a r k e t i n g, n (H \cap M) & 7 & 9 H R + F i n a n c e, n (H \cap F) & 6 & 7 M a r k e t i n g + F i n a n c e n (M \cap F) & 5 & 8 M a r k e t i n g + F i n a n c e + H R, n (M \cap F \cap H) & 2 & 3 \end{matrix}$

Required ratio $= \frac{10}{11}$ or 10 : 11

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