CUET PG 2022 Shift-1

A large field of 700 hectares is divided into two parts. The difference of the areas of the two parts is one-fifth of the average of the two areas. What is the area of the smaller part in hectares ?

The sides of an equilateral triangle are (2a - b) cm, (a + 3b) cm and (2a - b + 1) cm then the perimeter of the triangle is

A starts a business with Rs. 40,000. After 2 months, B joined him with Rs. 60,000. C joined them after some more time with Rs. 1,20,000. At the end of the year, out of a total profit of Rs. 375,000, C gets Rs. 150,000 as his share. How many months after B joined the business did C join ?

Sumit read $$6/13^{th}$$ of a book in 1st week and $$5/9^{th}$$ of the remaining book in $$2^{nd}$$ week. If there were 100 pages unread after $$2^{nd}$$ week, how many pages were there in the book?

$$\frac{?}{\sqrt{128}} = \frac{\sqrt{162}}{?}$$

What is the difference between the biggest and the smallest fraction among 2/3, 3/4, 4/5 and 5/6 ?

$$\frac{(K - L)^{2} - (K + L)^{2}}{4K} = \frac{a}{b}$$

On selling 17 balls at Rs. 720 there is a loss equal to the cost price of 5 balls, the cost price of a ball is ?

Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits?

In what time would a cistern be filled by three pipes which diameters are 2 cm, 3 cm and 4 cm running together, when the largest alone can fill it is 58 minutes? The amount of water flowing in each pipe is proportional to the square of its diameter.