SSC CHSL 31st May 2022 Shift-1

A train crosses a 400 m-long platform in 50 seconds. It crosses another 600 m-long platform in 60 seconds. What are the length and the speed of the train?

If $$\frac{a}{b}+\frac{b}{a}=-1, a \neq 0, b \neq 0$$, then the value of $$6 \left(a^{3}-b^{3}\right)$$ is:

The curved surface area of a hemisphere is 1232 $$cm^{2}$$. Its radius will be: (Take $$\pi = \frac{22}{7}$$)

The population of a city increases 5% annually in compounded manner (yearly compounding). The present population of this city is 93051. The population of this city 2 years ago was:

Asha and Bhuvan can do a piece of work in 6 days and 9 days, respectively. They work on alternate days, starting with Asha on the first day. In how many days will the work be completed?

The ratio of measures of the angles of a triangle is given as 3 : 4 : 8. What is the measure of the smallest of the three angles?

The score in Maths of 50 students of a class is given in the following table. Calculate the mean score.

If $$\sin x-3\cos x=\sqrt{3}\cos x$$, then the value of $$\cot x$$

The marked price of a refrigerator is ₹60,000. A shopkeeper offers a flat discount of ₹12,000 on full cash payment. Further he offers an extra discount of 5% on the marked price to his regular customers. How much does a regular customer have to pay for the refrigerator?

Soham’s initial expenditure and savings were in the ratio 5: 1. His income increases by 25%, while his savings increase by 20%. If Soham’s current expenditure is ₹4,347, what was his initial income?