SSC CHSL 8th June 2022 Shift-1

A car travelled distances of 10 km, 20 km and 30 km at speeds of 30 km/h, 40 km/h and 60 km/h, respectively. The average speed of the car is:

If $$x=\sqrt{10}+\sqrt{11},y=\sqrt{10}-\sqrt{11}$$, then value of $$7x^{2}-50xy+7y^{2}=$$

The distance between stations A and B is 778 kilometres. A train travels from station A to station B at a uniform speed of 84 km/h and then returns to station A at a uniform speed of 56 km/h. What is the train's average speed (in km/h) throughout the journey?

Two numbers are less than a third number by 30% and 37% respectively. By how much is the second number lesser than the first?

Ramesh bought a house for ₹2,00,000. At the end of the first year, he sold it at a loss of 10% on his investment. He invested the money thus obtained at a rate of 20% p.a. interest compounded aunually for 2 years. The value of this investment would amount to ___________.

$$(tan\ \pi+\theta)=?$$

Number B is 17.5% less than number A, while number C is 2b:5% more than number B. If the value of C is given as 8085, what is the value of A?

The surface area of a volleyball spherical is $$100 \pi\ cm^{2}$$ Find the volume of air enclosed in the ball.

If $$9 \times 4$$ of $$3 \div 2 - 5 \times Q + 2 \times 3 = 10,$$, then find the value of Q.

The average of the four numbers, given in a particular order, is 48. The average of the first three numbers is 42, while the average of the last three numbers is 50. What is the average of the first and last numbers?