UPTET 2017 (Paper 2 - Maths & Science ) Previous Year Paper (2017)

If $A=\{x:x\text{ is a letter in word BELOW}\}$, $B=\{x:x\text{ is a letter in word WOOL}\}$ and $C=A-B$, then the number of subsets of $C$ is

The perimeter of a rhombus whose diagonals are $10\text{cm}$ and $24\text{cm}$ is

The number of observations in a survey is $40$. If the mean of the first $10$ observations is $4.5$ and that of remaining is $3.5$, then the mean of the whole survey is

A right circular cylinder of maximum volume is cut from a solid cube of edge $14\text{cm}$. The total surface of the cylinder is

There are $50$ numbers. Each number is subtracted from $53$ and the mean of the numbers so obtained is $-3.5$. The mean of the given numbers is