CUET PG 2022 Shift-1

A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

4 kg of a metal contains 1/5 copper and rest m. Zinc. Another 5 kg of metal contain 1/6 copper and rest in Zinc. The ratio of Copper and Zinc into the mixture of these two metals.

The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is.

How many 3-letter words with or without meaning, can be formed out of the letters of the word 'LOGARITHMS' if repetition of letters is not allowed ?

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such at least one boy should be there ?

In a box there are 10 apples and $$2/5^{th}$$ of the apples are rotten. If three apples are taken out from the box what will be the probability that at least one apple is rotten.

There are 3 green, 4 orange and 5 white color bulbs in a bag. If a bulb is picked at random, what is the probability of having either a green or a white bulb ?

The annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 11 percent what was the annual interest rate last year ?

3 partners A B and C start a business. 4 tunes of A's capital is equal to 6 times of B's Capital and B's Capital is 8 times of C's capital if profit of B is Rs. 6300. Then find the average profit A and C.

What is the thousandths digit in the decimal equivalent of $$\frac{53}{5000}$$?