WBCS Mains 2020 Official Paper-VI

A shopkeeper gives two successive discounts of $20\%$ and $10\%$ on surplus stock. Further, he also gives $5\%$ extra discount on cash payment. If a person buys a shirt from the surplus stock and pays in cash, what overall discount percent will he get on the shirt?

If the letters in the word "PSCEXAM" are rearranged according to the reverse English alphabetical order, how many letter(s) will remain in the same position after the rearrangement?

A person travels $3.5\text{km}$ from place A to place B. Out of this distance, he travels $\frac{5}{3}\text{km}$ on bicycle, $\frac{7}{6}\text{km}$ on scooter and the rest on foot. What portion of the whole distance does he cover on foot?

The data indicates the distribution of students across seven different institutes (P, Q, R, S, T, U, V). In a standard evaluation of this problem where the total number of graduate students is $27300$ (with R comprising $18\%$) and post-graduate students is $24700$ (with R comprising $13\%$), what is the total number of graduate and post-graduate level students in institute R?

When a ball bounces, it rises to $\frac{3}{4}$ of the height from which it fell. If the ball is dropped from a height of $32\text{m}$, how high will it rise at the third bounce?