Data Interpretation Ques 237

Question-

Directions : Read the following information carefully and answer the questions.

In a college of 600 students, the ratio between boys and girls is $5: 7$ respectively. There are three subjects - Economics, Social Studies and Science only. Each student studies at least one subject.
Of the boys, 10% study Economics only, $20 %$ study Social studies only, $12 \%$ study Science only, $10 \%$ study both Economics and Science only, 18% study both Science and Social Studies only and $20 \%$ study both Economics and Social Studies only. Remaining boys study all three subjects.
Of the girls, 18% study Economics only, $10 \%$ study Social Studies only, $12 \%$ study Science only $20 \%$ study both Economics and Science only, 12% study Science and Social Studies only and 8% study both Economics and Social Studies only. Remaining girls study all three subjects.

What is the ratio between the number of boys and girls who study all three subjects?

(1) $5: 8$

(2) $5: 14$

(3) $3: 5$

(4) $3: 7$

(5) None of these

Show Answer

Correct Answer: (2)

Solution: (2)

Required ratio $=25: 70=5: 14$



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