SSC CGL Tier l 2023 Question Paper Shift 2 (July 19th)

Using $$\cot (A - B) = \frac{\cot A \cot B + 1}{\cot B - \cot A}$$, find the value of $$\cot 15^{\circ}$$

If $$P \cos \alpha= 3$$ and $$4 \tan \alpha = Q$$, then what is the relation between P and Q, which is independent of $$\alpha$$?

In $$\triangle ABC$$, the internal bisectors of $$\angle B$$ and $$\angle C$$ meet at O. if $$\triangle ABC = 72^{\circ}$$, then the value of $$\angle BOC$$ is:

The lateral area of a cylinder is 3168 $$cm^{2}$$ and its height is 48 cm. Find the volume.

A shopkeeper allows a discount of 10% on the printed price of his goods and thus gains 20%. What is the ratio between the cost price and the printed price of the item?

A can do a work in 4 days and B in 12 days. If they work on it together for 2 days, then the fraction of the work that will be left is:

Inlet Pipes A and B can together fill an empty tank in 1.5 hours. Outlet Pipe C, when opened alone, can empty the completely filled tank, in 4.5 hours. When only Pipes A and C are opened together, the empty tank is filled in 6 hours. Find the time taken by Pipe B, when opened alone, to fill the empty tank.

If $$(3y - \frac{3}{y}) = 5$$ find the value of $$(y^{2} + \frac{1}{y^{2}})$$.

A thief committed a crime and escaped from the spot at a speed of 12 m/h. A Security guard started chasing him 20 minutes after the thief started running and caught him in the next 20 minutes. What is the speed (in m/h) of the Security guard?

A man took a loan of ₹32,400 at a certain rate of simple interest per annum. The rate of interest is one-fourth of the number of years for which the loan is taken. If he paid ₹11,664 as interest at the end of the loan period, the rate of interest was: