SSC CGL Tier l 2023 Question Paper Shift 1 (July 18th)

The cube of the difference between two given natural numbers is 1728, while the product of these two given numbers is 108. Find the sum of the cubes of these two given numbers.

30 men can complete a work in 12 days. After 6 days, 24 more men joined them. How many days will they now take to complete the remaining work?

A thief is spotted by a policeman from a distance of 400m. When the policeman starts chasing, the thief also starts running. If the speed of the thief is 32km/h and that of the policeman is 40 km/h, then how far would the thief have run before he is overtaken?

The cube of the difference between two given natural numbers is 1728, while the product of these two given numbers is 108. Find the positive difference between the cubes of these two given numbers.

Study the following table and answer the question below.

What is the ratio of the total number of male students to that of female students who opted for Biology in schools A and D together?

A conical tent of height 10m and base diameter 48m was erected by a company in a park. Find the curved surface area of the tent (in $$m^{2}$$).

The number of sport bicycles sold by a shopkeeper in five years is shown in the following bar graph.

What is the percentage of decrease in the sale of sport bicycles in the year 2021 over that in the previous year?

Using trigonometric formulas, the value of $$\left(\frac{\sin (x-y)}{\sin (x+y)}\right)\left(\frac{\tan x + \tan y}{\tan x - \tan y}\right)$$

Simplify the given expression.

$$\frac{(326 + 222)^{2} - (326 - 222)^{2}}{(326 \times 222)}$$

The third proportional to ($$x^{2}-y^{2}$$) and ($$x-y$$) is: