Question

What is the difference between the number of boy students who can speak both Hindi and English and the number of girl students who can speak both Hindi and English?

• A. 164
• B. 178
• C. 183
• D. 174
• E. None of these

Answer 1

The correct option is B 178

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 difference $=288-110=178$