Question

What is the ratio between the number of boys who opted for Hindi only and that of girls who opted for combo subjects?

• A. 15 : 16
• B. 10 : 7
• C. 10 : 9
• D. 11 : 12
• E. None of these

Answer 1

The correct option is A 15 : 16

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 $=100-32-47=21$

Required ratio $=30:32=15:16$