Delhi Police SI 2024 June 27 Shift 1 Question Paper

In an election, $12\%$ of the voters on the voters' list did not cast their votes, while $84$ voters cast blank ballots. There were only two candidates, Ramagya and Shravan. The winner, Ramagya, received the support of $54\%$ of all the voters on the list. He received $1456$ votes more than his rival, Shravan. Find the total number of voters on the list.

Two numbers are in the ratio $3:7$. If $11$ is subtracted from each, the ratio between the numbers becomes $7:20$. Find the smaller number.

In $\Delta ABC$, $P$ is a point on $AB$ such that $PB:AP=3:4$ and $PQ$ is parallel to $AC$ (where $Q$ lies on $BC$). If $AR$ and $QS$ are perpendicular to $PC$ and $QS=9\text{cm}$, then what is the length of $AR$ (in $\text{cm}$)?

A train travels a distance of $60\text{km}$ at a speed of $80\text{km/h}$, $100\text{km}$ at a speed of $90\text{km/h}$, and another $140\text{km}$ at a speed of $120\text{km/h}$. Find the average speed for the entire journey. (Round off to the nearest integer.)

The following table shows the classification of 100 students based on the marks obtained by them in Mathematics and Science in an examination:



What is the difference between the number of students passing with 60 as cut-off marks in Science and those passing with 60 as cut-off marks in Average (Total)?