Question

What is the ratio between the total number of teachers, and the number of boy students who can speak Hindi only?

• A. 11 : 56
• B. 13 : 54
• C. 13 : 56
• D. 11 : 54
• E. None of these

Answer 1

The correct option is E None of these

Teachers $=\frac{120\times 65}{100}=78$
Male teachers $=78\times \frac{2}{3}=52$
Female teachers $=78-52=26$
Administrative officials $=120-78=42$
Female officials $=42\times \frac{5}{14}=15$
Male officials $=42-15=27$
Girls $=\frac{800\times 45}{100}=360$
Girls who speak Hindi only $=\frac{360}{5}=72$
Girls who speak Hindi and English $=360-72=288$
Boys $=800-360=440$
Boys who speak Hindi only $=440\times \frac{3}{4}=330$
Boys who speak Hindi and English $=110$
Required ratio $=78:330=13:55$