WBCS Exe. Prelims 2017 Prev. Yr. Paper

A box contains one red ball, one blue ball and one green ball. The ratio of the weight of the red and blue ball is $5:6$ and that of the blue and green ball is $5:4$. If the blue ball weighs $60\text{g}$, the weight of the green ball is:

The population of a district increases by $4\%$ during the first year and decreases by $5\%$ during the second year. If the present population of the district is $4,94,000$, then two years ago it was:

A man deposited $\text{Rs. }3,000$ in a Bank and $\text{Rs. }2,500$ in a Post Office. The rate of interest of the Bank is $\frac{1}{2}\%$ more than that of the Post Office. If he gets $\text{Rs. }235$ as total interest at the end of the year, the rate of interest of the Post Office is:

A person, standing on a railway platform $120$ meters long, notices that a train, which passed him in $5$ seconds, passes completely through the station in $15$ seconds. The length of the train is:

In an examination $35\%$ students fail in Mathematics, $15\%$ fail in English. If $10\%$ fail in both, the pass percentage is: