Delhi Police SI 2024 June 27 Shift 2 Question Paper

A $255\text{m}$ long train is running at a speed of $72\text{km/h}$. It crosses a platform of length $745\text{m}$ in:

Find the value of the given expression:
$$\frac{12+3\frac{2}{3}÷\left[1\frac{3}{4}÷\left\{5\frac{1}{4}\times \left(3\frac{3}{5}÷4\frac{1}{2}\right)\right\}\right]}{1\frac{1}{3}\times 5\frac{1}{5}}$$

In a class, the numbers of boys and girls are in the ratio of $3:5$. What is the percentage of boys in the class?

If $\sin \alpha =\frac{5}{13}$, then the value of $\cos \alpha \cdot \csc \alpha \cdot \cot \alpha$ is _________.

What is the length of the arc of a circle whose radius is $35\text{cm}$ and whose arc subtends an angle of $72^{\circ }$ at the centre of the circle?