List of top Questions asked in CUET (UG)- 2025

Let \( y=\sin(\cos(x^2)) \). Find \( \frac{dy}{dx} \) at \( x=\frac{\sqrt{\pi}}{2} \).

If x + 1/x = 5, what is the value of x² + 1/x²?

A shopkeeper buys an item for Rs 2000 and marks it up by 50% to set the marked price. He then offers a 20% discount on the marked price. What is the profit earned by the shopkeeper?

Find the correct statement/statements. (A) Goods which are consumed together are called complementary goods.
(B) The market demand curve can be derived as a vertical summation of the individual demand curves.
(C) Price elasticity of demand is a measure of the responsiveness of the demand for a good to changes in its price.
(D) If the consumer’s preferences change in favor of a good, the demand curve for such a good shifts leftward.
Which among the following was not a challenge to nationhood in the immediate post-Independence India?
7, 3, 10, 17, 27, ? — Find the missing number.
If $A$ is a square matrix of order 3 such that $|A| = 2$, then $|\operatorname{adj}(\operatorname{adj}(A))|$ is:
Choose the word that is similar in meaning to: "Eliminate"
The manager tried to mitigate the tension between the two teams. Choose the word that is opposite in meaning to mitigate:
The judge was known for being impartial in all her rulings. Choose the word that is closest in meaning to impartial:
A man buys a watch for Rupee1,200 and sells it at a loss of 15%. What is the selling price?
Identify the grammatically correct sentence:
G.S. Rai company ltd. purchased assets of the book value of Rs. 98,000 from another firm. It was agreed that purchase consideration be paid by issuing 11% debentures of Rs. 100 each. Assume debentures have been issued at discount of 20%. Identify the number of debentures issued by the company to the vendor:
Arrange the major developments in Harappan Archaeology in a chronological order:
(A) Report of Alexander Cunningham on Harappan seal.
(B) S.R. Rao begins excavations at Lothal.
(C) Daya Ram Sahni begins excavations at Harappa.
(D) Vasant Shinde begins archaeogenetic research at Rakhigarhi.
Choose the correct answer from the options given below:
A small standing crop of phytoplankton supports a large standing crop of zooplankton. This can be correctly represented by:
Wildlife safari parks are example of-
The oxidation number of Co in complex \( [Co(H_2NCH_2CH_2NH_2)_3]_2(SO_4)_3 \) is?
Two point charges $ +Q $ and $ -4Q $ are placed 60 cm apart. Where should a third charge be placed so that it experiences zero net force?
What happens if input prices increase?
A and B together can complete a task in 10 days. A alone can finish it in 15 days. In how many days can B alone finish the work?
For a matrix $ A $ of order $ 3 \times 3 $, which of the following is true?
Let A = [aij]n x n be a matrix. Then Match List-I with List-II
List-I
(A) AT = A
(B) AT = -A
(C) |A| = 0
(D) |A| $\neq$ 0
List-II
(I) A is a singular matrix
(II) A is a non-singular matrix
(III) A is a skew symmetric matrix
(IV) A is a symmetric matrix
Choose the correct answer from the options given below:
A man’s present age is twice his son's age. Five years ago, the man's age was three times his son's age. What is the man's present age?

Match List-I with List-II

List-IList-II
(A) The minimum value of \( f(x) = (2x - 1)^2 + 3 \)(I) 4
(B) The maximum value of \( f(x) = -|x + 1| + 4 \)(II) 10
(C) The minimum value of \( f(x) = \sin(2x) + 6 \)(III) 3
(D) The maximum value of \( f(x) = -(x - 1)^2 + 10 \)(IV) 5


Choose the correct answer from the options given below:

A and B can complete a task in the ratio 3:2. If together they complete the task in 20 days, how long will A alone take?