SSC CGL Tier l 24th July 2023 Shift-2

Study the given table and answer the question that follows.

The table shows the number of students studying in six different classes of six different schools.

What is the respective ratio of students studying in class IX of schools Q and R together to those studying in class VI of schools S and T together?

If $$\tan x = - \frac{12}{5}$$, where x lies in the second quadrant, what is the value of $$\sin x - \cot x$$?

Find the least number divisible by 2, 3, 5, 6, 9 and 18, which is a perfect square.

Simplify the following expression.
$$\left(4x + 1\right)^2 - \left(4x + 3\right)\left(4x -1\right)$$

In $$\triangle$$ ABC, D is the mid-point of BC and G is the centroid. If GD = 10 cm, then the length of AD is _____________.

If $$\left(x + \frac{1}{x}\right) = 2\sqrt{2}$$ what is the value of $$\left(x^{6} + \frac{1}{x^{6}}\right)$$?

A pipe can fill a tank in 30 hours. Due to a leakage at the bottom, it is filled in 50 hours. How much time will the leakage take to empty the completely filled tank?

Two men walk from a place at speeds of 9 km/h and 12 km/h, respectively. The first man takes 20 minutes more than the second one to cover the journey. Find the distance of the journey.

In a circular race of 4225 m, X and Y start from the same point and at the same time at speeds of 54 km/h and 63 km/h. When will they meet again for the first time on the track when they are running in the opposite direction?

The marked price of a mobile phone is ₹15,000 and the shopkeeper sold it for ₹13,500. What is the rate of discount offered by the shopkeeper?