SSC Selection Post 2023 Matriculation Level Question Paper (27 Jun, 2023) (Shift 2)

In a parallelogram, one of the parallel sides is $16\text{cm}$ and the other side is $12\text{cm}$. If the perpendicular distance between the two parallel sides of dimension $16\text{cm}$ is $24\text{cm}$, then the perpendicular distance between its other two parallel sides is:

A TV manufacturer sells an item to a wholesaler at a profit of $8\%$. The wholesaler sells it to a retailer at a profit of $10\%$. The retailer in turn sells it to the customer for ₹$11,050$ making a profit of $15\%$. What is the manufacturer's purchasing price? (Assume only whole numbers)

A shopkeeper is buying goods from a wholesaler. The wholesaler sells $1265$ units of the goods to the shopkeeper, earning a profit equal to the selling price of $165$ units of the goods. Find the profit percentage of the wholesaler.

A certain sum, at a certain rate of simple interest, amounts to ₹$2,225$ in $4$ years and ₹$2,606$ in $8$ years. Find the amount (in ₹) of the initial sum (principal).

What is the mean proportional ratio between $(3+\sqrt{5})$ and $15-\sqrt{125}$?