SSC CGL Tier II 6th March 2023 Shift 1

A pyramid has an equilateral triangle as its base, of which each side is 8 cm. Its slant edge is 24 cm. The whole surface area of the pyramid (in $$cm^{2}$$) is:

If 80 litres of milk solution has 60% milk in it, then how much milk should be added to make milk 80% in the solution?

If the highest common factor (HCF) of x and y is 15, then the HCF of $$36x^{2} - 81y^{2}$$ and $$81x^{2} - 9y^{2}$$ is divisible by

What is the perimeter of a square inscribed in a circle of radius 5 cm?

If the curved surface area of a cylinder is $$126 \pi  cm^{2}$$ and its height is 14 cm, what is the volume of the cylinder?

$$\frac{\sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225}}}}}}{\sqrt{16 + 19.25\times 4^{2}}}$$

A, B and C invested capital in the ratio of 3 : 4 : 8. At the end of the business term, they received the profit in the ratio of 2 : 3 : 5. What is the ratio of their invested time?

The probabilities of solving a problem by three students A, B and C are $$\frac{3}{7}, \frac{5}{9}$$ and $$\frac{1}{5}$$, respectively. The probability that problem will be solved is:

Reshma covers 45 km at a speed of 15 km/h by bicycle, 80 km at a speed of 40 km/h by car, and another 6 km at a speed of 2 km/h on foot. Find her average speed for the whole journey (correct to 2 decimal places).

A dishonest dealer marks up his goods by 50% and then gives a discount of 20% on the marked price. Apart from this, he uses a faulty balance which reads 1kg for 900 gm. What is his net profit percentage (rounded off to the nearest integer)?