SSC Selection Post 2020 Higher Secondary Level Question Paper (06 Nov, 2020) (Shift 3)

If decreasing $70$ by $x\%$ yields the same result as increasing $60$ by $x\%$, then $x\%$ of $91$ is:

A person invested a sum of $\text{Rs. }25,000$ in two parts. First part at $10\%$ per annum simple interest and the rest at $12\%$ per annum simple interest. At the end of $2\text{ years}$, the total interest received was $\text{Rs. }5,640$. The difference (in $\text{Rs.}$) between the two parts of the sum is:

$X$ and $Y$ together finish a task in $12\text{ days}$. If $Y$ alone can finish the same task in $15\text{ days}$, then how many days will $X$ alone take to finish the task?

If $2{\cos }^2\theta -5\cos \theta +2=0$, $0^{\circ }<\theta <90^{\circ }$, then the value of $\frac{1}{\csc \theta +\cot \theta }$ is:

Eight years ago, the ratio of the ages of $A$ and $B$ was $9:10$. The ratio of their ages $4\text{ years}$ from now will be $12:13$. If the age of $C$ is $4\text{ years}$ less than the present age of $A$, then what is the present age (in years) of $C$?