UP Police Constable Previous Year Paper 2024 Set 5

If the average of $x$ and $\frac{1}{x}$ ($x\ne 0$) is $m$, then the average of $x^2$ and $\frac{1}{x^2}$ is :

If the average of $9$ consecutive even numbers is $132$, find the difference between the first and the last numbers.

As a result of $25\%$ hike in the price of rice per kg, a person is unable to purchase $6\text{kg}$ more rice for $\text{₹}1,200$. What was the original price of rice per kg?

If you have a regular icosahedron and you slice it along a plane that intersects six of its faces, what is the shape of the resulting cross-section?

Identify the incorrect number in the following series.
$$4,7,13,21,34$$