Delhi Police SI 2024 June 27 Shift 1 Question Paper

If $\sec 6A=\csc (A-29^{\circ })$, where $2A$ is an acute angle, then find the value of $\angle A$.

Study the given table (pictogram) and answer the question that follows. The table shows the number of scouts in different classes of a school.
Given scale: $1\text{ icon}=15\text{ scouts}$

What is the total number of scouts in classes VI to VIII together?

What is the total surface area of a cone whose radius is $\frac{r}{4}$ and slant height is $4l$?

If the sum of two numbers $x$ and $y$ is $12$ and their product is $27$, then find the sum of their cubes.

The percentage distribution of the number of tires of different brands produced by a specific factory in a year is shown in the given pie-chart. The total number of tires sold is 1350.

What is the difference between the average number of Avon and Firestone tires sold together and the average number of Good year and Dunlop tires sold together?