WBCS (Executive) 2021 Prelims Previous Year Paper

A ladder is kept against a wall. The top of the ladder touches the wall at a height of $270\text{cm}$ from the ground. The base of the ladder is $54\text{cm}$ away from the wall on the ground. Find the length of the ladder.

Out of $1500$ students, $480$ are enrolled in NCC. What percentage of students are not enrolled in NCC?

A building which is $64\text{ feet}$ high casts a shadow of length $96\text{ feet}$. Under similar conditions, find the height of a telephone tower which casts a shadow of length $180\text{ feet}$.

'School' is related to 'Student' in the same way as 'Hospital' is related to:

Pointing to a gentleman, Somenath said, "His only brother is the father of my daughter's father." How is the gentleman related to Somenath?