Data Interpretation Ques 146

Directions : The following questions are based on the information given below. Study the following information carefully to answer the questions.

In a school students have options to read only Hindi or only Sanskrit or both Hindi and Sanskrit. Of 175 students in the school the ratio of boys and girls is $3: 4$ respectively. $40 \%$ of boys opted for Hindi only. $44 \%$ of students opted for Sanskrit only. $32\%$ of total girls opted for both Sanskrit and Hindi. The number of boys opting for Sanskrit only and that in both Hindi and Sanskrit are in the ratio $2: 1$ respectively.

How many girls opted for Sanskrit only?

(1) 72

(2) 47

(3) 51

(4) 77

(5) None of these

Show Answer

Correct Answer: (2)

Solution: (2)

Boys $\Rightarrow 175 \times \frac{3}{7}=75$

Girls $\Rightarrow 175 \times \frac{4}{7}=100$

Boys who read only Hindi $=\frac{75 \times 40}{100}=30$

Students who read only Sanskrit $=\frac{175 \times 44}{100}=77$

Girls reading both Sanskrit and Hindi $=\frac{100 \times 32}{100}=32$

Boys who read Sanskrit only $=\frac{2}{3} \times 45=30$

Girls who read only Sanskrit $=77-30$ $=47$



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