SSC CHSL 21st October 2020 Shift-2

The circles of same radius 13 cm intersect each other at A and B. If AB = 10 cm, then the distance between their centres is:

The value of $$\frac{33}{40}+\frac{1}{5}\left[\frac{4}{5}-\frac{1}{5}\times\left(\frac{7}{8}-\frac{5}{4}\right)\right]$$ is:

The marked price of an article is 25% more than its cost price. If 10% discount is given on the marked price, then what is the profit percentage?

If $$\frac{\sec\theta+\tan\theta}{\sec\theta-\tan\theta}=5$$ and $$\theta$$ is an acute angle, then the value of $$\frac{3\cos^2\theta+1}{3\cos^2\theta-1}$$ is:

If $$\sin(\theta+30^{\circ})=\frac{3}{\sqrt{12}}$$, then the value of $$\theta$$ is equal to:

Study the following graph and answer the given question.

The graph shows the time (in minutes) taken by the pipes (A, B), (C, D), (E, F), (G, H) and (P, Q) to fill a tank.

Two pipes P and Q are inlet pipes. If they are opened at alternate minutes and if pipe P is opened first, then in how many minutes will the tank be full?

If $$x=\frac{\sqrt{3}}{2}$$, then the value of $$\frac{\sqrt{1+x}+\sqrt{1-x}}{\sqrt{1+x}-\sqrt{1-x}}$$ is equal to:

Study the following graph and answer the given question.

The graph shows the time (in minutes) taken by the pipes (A, B), (C, D), (E, F), (G, H) and (P, Q) to fill a tank.

In how many minutes is an empty tank filled completely if pipe D fills it for half the time and then for the other half time, pipes C and D fill it together?

In the figure, a circle touches all the four sides of a quadrilateral ABCD whose sides AB = 6.5 cm, BC = 5.4 cm and CD = 5.3 cm. The length of AD is:

A is twice as good a workman as B and together they finish a piece of work in 22 days. In how many days will A alone finish the same work?