Delhi Police SI 2024 June 27 Shift 1 Question Paper

A $12$ -liter solution of acid and water contains $30\%$ acid. How much water (in liters) must be added to get a solution containing $20\%$ acid?

If $\cot \theta =\frac{28}{45}$, then find the value of $(\sin \theta -\cos \theta )$.

What is the value of the following expression?
$$35-[28-(60÷4+26÷13)]$$

The rim (circular boundary) of a hemispherical bowl is $88\text{cm}$. Assuming the bowl is completely filled, how many people can be served if the content is distributed into hemispherical glasses, where each glass has a top diameter of $7\text{cm}$? (Take $\pi =\frac{22}{7}$)