SSC CGL Tier II 7th March 2023 Shift 1

P, Q and R can finish a work in 5 days, 10 days, and 15 days, respectively, working alone. P and Q works on first day, P and R works on second day and P and Q works on third day and son on till the work is completed. In how many days the work will be completed?

A goods train 350 m long passes through a tunnel of length 1250 m in 80 seconds.
What is the speed of the train?

If one of the interior angles of a regular polygon is $$\frac{15}{16}$$ times of one of the interior angles of a regular decagon, then find the number of diagonals of the polygon.

If the four-digit number 463y is divisible by 7, then what is the value of y?

If a $$\cot \theta + b \cosec \theta = p$$ and $$b \cot \theta + a \cosec \theta = q$$ then $$p^{2} - q^{2}$$ is equal to __________.

PQRS is a cyclic quadrilateral. If $$\angle P$$ is three times of $$\angle R$$ and $$\angle S$$ is four times of $$\angle Q$$, then the sum of $$\angle S + \angle R$$ will be:

Working for 10 hours per day, 6 men can build a wall in a certain number of days. By working for how many hours/minutes per day can 12 men build the wall in the same days?

If $$2^{x} + 3^{x} = 17$$ and $$2^{x+2} - 3^{y+l} = 5$$, then :

What is the mode of the given data?
5, 7, 9, 7, 3, 7, 5, 7, 8, 6, 7

Which of the following numbers is divisible by 11?