List of top Questions asked in CUET (UG)

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
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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


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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?

'इदम्' शब्दस्य स्त्रीलिङ्गे तृतीया-विभक्तौ बहुवचने कि रूपं भवति ?

A girl walks 20 meters towards North. Then, turning to her left, she walks 50 meters. Then, turning to her right, she walks 40 metres. Again, she turns to her right and walks 50 metres. How far is she from her initial position?
In a certain code, ALPHABET is written as TEBAHPLA. How is DECIPHER written in that code?
If 36: 84 :: 42: X, then the value of X, is:
Pointing to a man, Rani says, "He is the son of my mother's only daughter.” How is the man related to Rani?
A shopkeeper buys an item for ₹2600 and sells it at a 25%profit. What is the selling price?
A ladder leaning against a wall makes an angle of 45° with the ground. If the length of the ladder is 10 m, what is the distance of the foot of the ladder from the wall?
If A = $\begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix}$ and B = $\begin{bmatrix} 1 & 0 \\ 1 & 0 \end{bmatrix}$ then the matrix AB is equal to

Arrange the sentences logically: 
1. He was terrified by the noise. 
2. Suddenly, a loud sound was heard. 
3. Everyone looked towards the door. 
4. The children ran out of the room.

Rearrange the parts to form a logical sentence:
A) the city's new policy
B) has significantly improved
C) air quality
D) over the past year
The average weight of 10 students is 50 kg. If one student weighing 60 kg leaves the group, what is the new average weight?

The marks out of 50 obtained by 100 students in a test are given below:

Marks obtained2025282933384243
Number of students620242815421

Find: \(3\text{ mode} - 2\text{ median}\)
 

For what purpose did the British Colonial officers commissioned local artists to paint scenes around them?
Given figure is embedded in any one of the four option figures. Find the option figure which contains the given figure as its part.
Subsistence farming is not characterised by \(\underline{\hspace{6cm}}\).

Arrange the following events in the correct order pertaining to fertilization in the human reproductive system.
(A) The blastocyst becomes embedded in the endometrium. 
(B) Finger-like projections appear on the trophoblast called chorionic villi. 
(C) The blastomeres are arranged into trophoblast and the inner cell mass. 
(D) The zygote divides mitotically and transforms into an embryo with 8-16 blastomeres, called a morula. 
 

Rearrange the following parts to form a meaningful and grammatically correct sentence: 
P. a healthy diet and regular exercise 
Q. are important habits 
R. that help maintain good physical and mental health 
S. especially in today's busy world

Rearrange the following parts to form a meaningful and grammatically correct sentence: 
P. the teacher explained the lesson clearly 
Q. so that every student could understand it 
R. during the online class yesterday 
S. with examples and illustrations

Rearrange the following parts to form a meaningful and grammatically correct sentence: 
P. that maintaining a positive attitude 
Q. even in difficult situations 
R. is essential for success 
S. and helps overcome obstacles effectively

Choose the word closest in meaning to "inscrutable":
Arrange the simple interest of the following cases in decreasing order-
(A) The simple interest on Rs 6600 at 5% per annum for 2 yrs.
(B) The simple interest on Rs 200 at 6% per annum for 5 yrs.
(C) The simple interest on Rs 840 at 5% per annum for 4 yrs.
(D) The simple interest on Rs 5000 at 12% per annum for 2 yrs.
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