SSC CGL Tier-2 8th August 2022 Maths

Two trains whose lengths are 450 metres and 300 metres are moving towards each other at the speed of 162 km/hr and 108 km/hr respectively. If distance between trains is 300 metres, then in how much time, these trains will cross each other?

What is the sum of first 20 terms of the following series?
$$1 \times 2 + 2 \times 3 + 3 \times 4 + 4 \times 5 + ...........$$

The compound interest (compounding annually) on a certain sum at the rate of 8 percent per annum for rwo years is ₹ 6656. What would be the simple interest on the same sum at the same rate of interest for two years?

The difference between the areas of two concentric circles is 264 cm$$^2$$. What is the difference between the square of their radius? (use $$\pi = \frac{22}{7}$$)

What is the difference between the average of first 148 even positive numbers and the average of first 129 odd positive numbers?

ABC is an equilateral triangle with side 12 cm. What is the length of the radius of the circle inscribed in it?

The height of a cylinder is 6 cm more ihan the radius of iis base. If its radius is 14 cm, then what will be volume of this
cylinder? (use $$\pi = \frac{22}{7}$$)

The following bar graph shows the amounts (in ₹ lakhs) invested by a company in purchasing raw materials and the values (in ₹ lakhs) of finished goods sold by the company, from 2012 to 2017.

The difference between the average amount invested in purchasing raw materials during 2012 to 2017 and the average value of sales of finished goods during the same period 2012 to 2017 is:

ABC and PQR are two triangles. AB = PQ = 6 cm, BC = QR = 10 cm and AC = PR = 8 cm. If angle ABC = x degree, then what is the value of angle PRQ?

Which of the following given value is greater than $$\sqrt[3]{12}$$.?