SSC CGL Tier l 2023 Question Paper Shift 3 (July 25th)

The cube of the sum of two given numbers is 1728, while the product of the two given numbers is 32. Find the positive difference between the cubes of the two given numbers.

Simplify the following expression.
$$\frac{x^{2} - 2x - 63}{x^{2} + 14x + 49}$$

The value of $$\sqrt{\frac{1 + \cos \theta}{1 - \cos \theta}}$$ is:

The pie chart below shows the distribution of female employees working in a company in five different districts (A, B, C, D and E).

Total number of female employees in five districts = 136000

What is the total number of female employees working in a company in district C and district D?

The difference between a discount of 40% and two successive discounts of 30% on a certain bill was ₹220. Find the amount of the bill (in ₹).

If $$\left(y + \frac{1}{y} = 4\right)$$, find the value of $$\left(y^{6} + \frac{1}{y^{6}}\right)$$.

A is 50% more efficient then B. B worked to finish the same work in 20 days. If A and B worked together, then how much time will they take to finish the same work?

What is the area of the sector of a circle of radius 8 cm and formed by an arc of length 12 cm?

The cost price of an article is decreased by 10% and then increased by 20%. If the final price is ₹540, then the original cost price is:

The curved surface area of a solid circular cylinder of height 12 cm is 2640 $$cm^{2}$$. What is the volume (in $$cm^{3}$$) of the cylinder? (Take $$\pi=\frac{22}{7}$$)