SSC CHSL 10th June 2022 Shift-1

Based on the data given in the following table find the arithematic mean of the marks obtained out of 10 in a class test by the students of a class.

Simplify the folowing expression.
$$(\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2})+(\frac{3}{2}\times\frac{3}{2}\times\frac{3}{2})+(6\times6\times6)+3(\frac{1}{2}+\frac{3}{2})(\frac{1}{2}+6)(6+\frac{3}{2})$$

A vendor bought oranges at 5 for ₹15 and sold them at 3 for ₹5. Find his loss percent.

For the first part of her journey,Sunita travelled at a speed of 450 m/min and,for the rest of the journey, at a speed 1.4 times of her initial speed. If Sunita travelled a total distance of 33.3 km in 1hour, what was the distance that Sunita travelled at a lower
speed?

40 men can complete a piece of work in 18 days. 9 days after they start working together, 5 more men join them. How many days will they now take to complete the remaining work?

A sum of money is invested at a rate of compounded interest that is paid out yearly. In the first two years, the interest was ₹400 and ₹420 respectively.The sum is:

A man spends 20% of his monthly salary on food and one-fourth of the remaining salary on charity. If he saves ₹9,600 per month, which is equal to half of the balance after spending on food and charity, then his monthly salary is:

What is the length of the arc of a circle whose radius is 35 cm and arc subtends an angle of $$36^{0}$$ at the centre of the circle? (Take $$\pi=\frac{22}{7}$$)

Calculate the third proportional to 4, 15 and 24.

Using the formula $$\tan\frac{x}{2}=\frac{1-\cos x}{\sin x}$$, find the value of $$\tan 22.5^{0}$$.