Delhi Police SI 2024 June 27 Shift 1 Question Paper

If the radius of a sphere is $2.1\text{cm}$, then find the volume of the sphere.

A person borrowed ₹ $1,760$ at a simple interest rate of $6\%$ per annum and ₹ $2,240$ at a simple interest rate of $9\%$ per annum for the same time period. He had to pay a total of ₹ $1,536$ as interest. Find the time period (in years).

Find the value of the following expression:
$$\left[18-3\times \left\{3-3\times \left(3÷\frac{1}{3}-3\right)+3÷\frac{1}{3}+3\right\}-4\times 2\right]$$

Ramitra purchased raw materials at a certain price for manufacturing a product. However, due to a shortage of workers, $22.5\%$ of the raw material could not be used and went to waste. $80\%$ of the cost of the used raw material was added as manufacturing cost. If Ramitra can sell her product to earn an overall profit of $20\%$ after allowing a discount of $20\%$, then the marked price of the product was how many times the total cost of the raw material purchased?

Study the data given below and answer the following question. The table shows the current percentage share of 6 partners in a company:

If the company has issued $8\text{lakh}$ shares among its 6 partners and if Verma offers to sell $10,000$ of his shares to Pandey, how many shares will Pandey have in total?