SSC Selection Post 2023 Graduation Level Question Paper (28 Jun, 2023) (Shift 3)

A piece of land was sold to a person through two middlemen, each gaining $25\%$. If the person purchased the land for $\text{₹}6,25,000$, the original cost (in ₹) of the land was:

If the seven digit number $965x475$ is divisible by $9$, then the value of $x$ is:

In $\Delta PQR$, $S$ and $T$ are points on the sides $PQ$ and $PR$, respectively, such that $\Delta PST$ is similar to $\Delta PRQ$. If $\text{m}\angle PQR=47^{\circ }$, then find $\text{m}\angle STR$.

A company is manufacturing three different products – Glass, Plate and Bowl. The number of Plates is double the number of Glasses. The number of Glasses manufactured is twice the number of Bowls. What is the difference between the number of Plates and the number of Bowls if the total units manufactured by the company is $2380$?

What is the solution to the following system of linear equations?
$$3x-9y+4z=5$$
$$2x+7y+z=12$$
$$3x-z=0$$