SSC CHSL 7th June 2022 Shift-1

The marked price of an article is 30% more than the cost price. A discount of 15% is offered on the marked price. By what percentage is the final price more than the cost price?

The mean proportional between a number and 20 is 50. What is that number?

The average run of 8 players is 6.5.The average run increases by 1 when 2 new players are included. What is the average run of new players?

The population of a city increased by 5%, 2% and 6% in the first, second and third year, respectively. At the end of the third year, the population became 56,763. Find the initial population of the city.

If $$a + b = \sqrt{7}$$ and $$a - b =\sqrt{5}$$, then find the value of $$8ab\left(a^{2} + b^{2}\right) - \left(a - b\right)^{2}$$

The following pie chart describes the sales of a particular brand of T-shirts in 6 of their outlets P, Q, R, S, T and U. The total sales in which two given outlets exceed the sales in the outlet S?

Find the area of a triangle with sides 3 cm, 4 cm, and 5 cm.

Rani covers a distance of 475 m in a minute. How much distance would Rani have covered in an hour if she travelled at 1.2 times of her current speed?

The population of a city is 225000. If the annual birth rate and death rates are 4.5% and 2.5%, respectively, calculate the increase in the population of the city after 2 years.

If $$\cosec^{2} \theta + \cot^{2} \theta = \frac{5}{3}$$, then what is value of $$\cot 2\theta$$