Data Interpretation Ques 376

Question-

Directions : Read the information given in the passage and answer the given questions.

There are ’ $x$ ’ number of students in a college. Each of them likes either one or more of the following types of movies- Hollywood, Bollywood and Regional movies. The respective ratio of male and female students is $9: 7$.
$16 \%$ of the male students like only Hollywood movies. $22 \%$ like only Bollywood movies. $12 \%$ like only Regional movies. $30 \%$ of the male students like only Hollywood and Bollywood movies. 10% like only Bollywood and Regional movies and 6% like only Regional and Hollywood movies. The remaining 18 male students like all the given type of movies.
$14 \%$ of the female students like only Hollywood movies. $20 \%$ like only Bollywood movies. 8% like only Regional movies. $26 \%$ of the female students like only Hollywood and Bollywood movies. 18% like only Bollywood and Regional movies and 10% like only Regional and Hollywood movies. The remaining female students like all the given type of movies.

The number of male students who like only two of the given types of movies is what percent more than the number of female students who like only two of the given types of movies?

(1) $11 \frac{1}{21}$

(2) $16 \frac{1}{7}$

(3) $9 \frac{11}{21}$

(4) $8 \frac{1}{7}$

(5) $13 \frac{11}{14}$

Show Answer

Correct Answer: (3)

Solution: (3)

Boys who like only two types of movies

$\Rightarrow 135+45+27=207$

Girls who like only two types of movies

$\Rightarrow 91+63+35$ $=189$

$\therefore$ Required per cent $=\left(\frac{207-189}{189}\right) \times 100$ $=\frac{1800}{189}=\frac{200}{21}=9 \frac{11}{21} \%$



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