Question

How many boys opted for both Sanskrit and Hindi?

• A. 30
• B. 15
• C. 21
• D. 32
• E. None of these

Answer 1

The correct option is B 15

Number of boys $=175\times \frac{3}{7}=75$
Number of girls $=175\times \frac{4}{7}=100$
Boys who only read Hindi $=\frac{75\times 40}{100}=30$
Students who only read Sanskrit $=\frac{175\times 44}{100}=77$
Girls reading both Sanskrit and Hindi
$=\frac{100\times 32}{100}=32$
Boys who only read Sanskrit $=\frac{2}{3}\times (75-30)=30$
Boys who read the combo subjects $=15$
Girls who only read Sanskrit $=77-30=47$
Girls who only read Hindi $=100-32-47=21$

Boys who only read the combo subjects $=15$