SSC CGL 6th Dec 2022 Shift-2

If $$\frac{a}{b}+\frac{b}{a} = 1$$ and a + b = 2 , then the value of $$a^{3} + b^{3}$$ is:

If 3 coconuts are offered free on purchase of 12 coconuts, priced ₹25 each, what is the effective discount on each coconut?

The population of country A decreased by p% and the population of country B decreased by q% from the year 2020 to 2021. Here 'p' is greater than ‘q’. Let 'x' be the ratio of the population of country A to the population of country B in the given year.
What is the percentage decrease in 'x' from 2020 to 2021?

A chord of length 40 cm is drawn in a circle having diameter 50 cm. What is the minimum distance of other parallel chord of length 30 cm in the same circle from 40 cm long chord?

If $$4x^{2} + y^{2} = 40$$ and $$xy = 6$$, find the positive value of $$2x + y$$.

Piyush sold a guitar to Anuj at 16% gain and Anuj sold it to Mayank at 32% gain. If Mayank paid Rs.3,828 for the guitar, what amount did Piyush pay for the same?

Tile external diameter of an iron pipe is 20 cm audits length is 12 cm. If the thickness of the pipe is 1 cm. find the surface area of the pipe (take $$\pi = \frac{22}{7}$$) correct to two places of decimal.

A group of men decided to do a job in 6 days, but 18 men dropped out every day. If the job was completed in 8 days, then how many men initially decided to do the job.

What is the value of $$\frac{\cos37^{\circ}}{\sin53^{\circ}}$$?

What is the value of $$\cos \left(-\frac{17\pi}{3}\right)$$