List of top Questions asked in CUET (UG)- 2026

According to Newton’s Laws of Motion in sports, a football lying stationary on the ground moves only after being kicked because of:

Which of the following is NOT correctly matched?

A person consumes 3200 kcal in a day. If carbohydrates contribute 55% of total calories, approximately how many grams of carbohydrates are consumed?

Which of the following correctly represents the sequence of energy systems used during a 400 m sprint race?

In a knockout tournament involving 27 teams: Total number of matches to be played is, and Number of byes in the first round is

Match the following sports injuries with their most appropriate description:

Choose the correct option:

A student has a resting heart rate of 72 beats per minute and a maximum heart rate of 196 beats per minute. According to the Karvonen Formula, what will be the target heart rate at 70% intensity?

Find the local maximum point of the function \[ f(x)=-x^3+3x+1 \]

Let \( R \) be a relation on \( \{1,2,3\} \) defined by \[ R=\{(1,1),(2,2),(3,3),(1,2)\} \] Identify the properties satisfied by \(R\).

For vectors \( \vec{a}=3\hat{i}-\hat{j}+2\hat{k} \) and \( \vec{b}=\hat{i}+2\hat{j}-\hat{k} \), find the scalar projection of \( \vec{a} \) onto \( \vec{b} \).

Find the domain of the function \( f(x)=\sin^{-1(3x-1) \).}

A bag has 4 red and 6 black balls. Two balls are drawn without replacement. What is the probability that the second is red given the first was black?

Maximize \( Z = 5x + 3y \) subject to \( x + y \le 6 \) and \( x, y \ge 0 \). Where does the maximum value occur?

For the linear differential equation \[ \frac{dy}{dx} + \frac{2}{x}y = x^2 \] calculate the integrating factor (I.F.).

Identify the order and degree of the differential equation: \[ \left(\frac{d^3y}{dx^3}\right)^2 + 4\left(\frac{dy}{dx}\right)^4 + y = \sin(x) \]

Analyze the function \( f(x) = |x-1| + |x-2| + |x-3| \). Determine the points where the derivative \( f'(x) \) is undefined.

Let $A$ be a $3 \times 3$ matrix such that $A^2 = I$. If $\det(A) = -1$ and the sum of eigenvalues is $1$, find the set of eigenvalues of $A$.

Which of the following are fat soluble vitamins?
(A) Vitamin A
(B) Vitamin B
(C) Vitamin D
(D) Vitamin E
(E) Vitamin K
Choose the correct answer from the options given below:

Which of the following compounds will not undergo an Azo coupling reaction?

Which of the following solutions is isotonic with human blood?

When blood cells are placed in \(1%\) (w/v) NaCl aqueous solution, what will happen to the cells?

Which of the following complexes shows maximum number of unpaired electrons?

The SI unit of rate constant for a first order reaction is:

The major product formed in the following reaction is: \[ CH_3CH=CH_2 \xrightarrow{HBr,\ peroxide} \ ? \]

Among the following compounds, the correct order of acidic strength is: \[ \text{Phenol},\quad p\text{-Nitrophenol},\quad p\text{-Methoxyphenol} \]