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

Consider two similar triangles $△PQR$ and $△DEF$ where vertices correspond precisely as $P\leftrightarrow D$, $Q\leftrightarrow E$, and $R\leftrightarrow F$. Choose which of the following equations correctly represents the similarity of both triangles?

If $y\%$ of $y$ is $289$, then what is the value of $y$?

$P$, $Q$, and $R$ are partners in a company. In any given year, $P$ receives $\frac{1}{9}$ part of the total profit, $Q$ receives $\frac{1}{6}$ part of the profit, and $R$ receives $\text{Rs }130000$. How much amount (in $\text{Rs}$) will $P$ get as profit?

In a container, two types of liquids $P$ and $Q$ are in the ratio of $3:7$. If $10$ litres of the mixture is drawn off from the container and it is filled with $6$ litres of liquid $Q$, then the ratio of $P$ and $Q$ becomes $1:3$. What was the original quantity (in litres) of the mixture?

The average weight of $35$ apples is $50$ grams. If some apples of weight $40$ grams each were removed, then the average weight becomes $57.5$ grams. How many apples of weight $40$ grams were removed?