SSC CHSL 2016 (Tier-I) Question Paper (13-Mar-2018) ( Shift 1)

$\frac{7}{15}$ of $\frac{5}{3}$ of a number is greater than $\frac{7}{9}$ of $\frac{3}{5}$ of the same number by $9$. Find the quadruple of the number.

In a farm, in addition to $48$ hens, there are $42$ sheep and $11$ oxen with some shepherds. If the total number of feet is $224$ more than the number of heads, find the number of shepherds.

Which of the following values of $x$ satisfies the equation $81^{4x+4}=243^{2x+8}$?

What will be the value of $r^2+p^2+s^2-rp-ps-rs$ when $r=4$, $p=2$, and $s=8$?

Calculate the length (in $\text{cm}$) of $PQ$, if the radius of the circle is $7\text{cm}$ and the line through the centre $O$ meets the tangent at point $Q$ such that $OP=25\text{cm}$.