WBCS Mains 2021 (Held On May 2022) Official Paper-VI

Suppose yesterday is not Sunday. Which of the following days cannot be the day after tomorrow?

In a group of $500$ Bengali students of age 18 attending online courses during complete lockdown, a Venn diagram tracks their specific enrollment profiles:



If the count of students located at the mutual intersection of all three geometric subsets (learning all three attributes simultaneously) is $50$, what approximately is the percentage of students who are learning all the things?

The average of the first $10$ odd numbers is _______.

In a right-angled triangle $XYZ$, $\angle Y=90^{\circ }$. If $XY=2\sqrt{6}$ and $XZ-YZ=2$, then the value of $\sec X+\tan X$ is:

The least number that is to be subtracted from $5629$ to make the result a perfect square is: