List of top Questions asked in CUET (UG)

Two runners, Ajay and Vijay complete a 600 m race in 38 seconds and 48 seconds respectively. By how many meters will Ajay defeat Vijay?
The general solution of the differential equation \( x\,dy + \left(y - e^x\right) dx = 0 \) is:
The angle between vectors $ \mathbf{a} = \hat{i} + \hat{j} - 2\hat{k} $ and $ \mathbf{b} = 3\hat{i} - \hat{j} + 2\hat{k} $ is:
An annuity in which the periodic payment begin on a fixed date and continue forever is called

Match List-I with List-II

List-I (Matrix)List-II (Inverse of the Matrix)
(A) \(\begin{bmatrix} 1 & 7 \\ 4 & -2 \end{bmatrix}\)(I) \(\begin{bmatrix} \tfrac{2}{15} & \tfrac{1}{10} \\[6pt] -\tfrac{1}{15} & \tfrac{1}{5} \end{bmatrix}\)
(B) \(\begin{bmatrix} 6 & -3 \\ 2 & 4 \end{bmatrix}\)(II) \(\begin{bmatrix} \tfrac{1}{5} & -\tfrac{2}{15} \\[6pt] -\tfrac{1}{10} & \tfrac{7}{30} \end{bmatrix}\)
(C) \(\begin{bmatrix} 5 & 2 \\ -5 & 4 \end{bmatrix}\)(III) \(\begin{bmatrix} \tfrac{1}{15} & \tfrac{7}{30} \\[6pt] \tfrac{2}{15} & -\tfrac{1}{30} \end{bmatrix}\)
(D) \(\begin{bmatrix} 7 & 4 \\ 3 & 6 \end{bmatrix}\)(IV) \(\begin{bmatrix} \tfrac{2}{15} & -\tfrac{1}{15} \\[6pt] \tfrac{1}{6} & \tfrac{1}{6} \end{bmatrix}\)
Let A = [aij]2x3 and B = [bij]3x2, then |5AB| is equal to
Which of the following is not a component of the time series?
The original value of an asset minus the accumulated depreciation at a given date is known as
The area (in sq. units) of the region bounded by the parabola y2 = 4x and the line x = 1 is
Which of the following are correct about the Sinking Fund?
(A) It is a fixed term account.
(B) It is a set-up for a particular upcoming expense.
(C) A fixed amount at regular intervals is deposited in the Sinking Fund.
(D) It can be used in any emergency.
Choose the correct answer from the options given below:
Which of the following are correct about the Sinking Fund?
(A) It is a fixed term account.
(B) It is a set-up for a particular upcoming expense.
(C) A fixed amount at regular intervals is deposited in the Sinking Fund.
(D) It can be used in any emergency.
Choose the correct answer from the options given below:

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:

An annuity in which the periodic payment begin on a fixed date and continue forever is called
Let AX = B be a system of three linear equations in three variables. Then the system has
(A) a unique solution if |A| = 0
(B) a unique solution if |A| $\neq$ 0
(C) no solutions if |A| = 0 and (adj A) B $\neq$ 0
(D) infinitely many solutions if |A| = 0 and (adj A)B = 0
Choose the correct answer from the options given below:
The unit of \( E_{\text{cell}} \) is
Hell-Volhard Zelinsky reaction is used for the formation of
The structural feature in carbonyl compound for Aldol condensation is:
Match compound/elements of List-I with their uses given in List-II \[ \begin{array}{|l|l|} \hline \textbf{List-I} & \textbf{List-II} \\ \hline (A) \; \text{Magnesium based alloy is constituent of} & (I) \; \text{Bullets} \\ \hline (B) \; \text{Lanthanoid oxide} & (II) \; \text{Petroleum cracking} \\ \hline (C) \; \text{Mixed oxides of Lanthanoids are employed in} & (III) \; \text{Television screen} \\ \hline (D) \; \text{Misch metal} & (IV) \; \text{Lanthanoid metal and iron} \\ \hline \end{array} \]
What is the color of Fe\(^{3+}\)(aq) ion?
The nitrogen atom in amines is trivalent and possess an unshared pair of electrons. The geometry of trimethyl amine is:
What is the decreasing order of field strength of given ligands? (A) S\(^{2-}\)
(B) Ethylenediamine
(C) NCS\(^{-}\)
(D) CN\(^{-}\)
Why is HCl not used to make the medium acidic in oxidation reactions of KMnO\(_4\) in acidic medium?
Gabriel phthalimide synthesis is used for the preparation of
Which of the following gases will deviate most from ideal behavior at high pressure?
Which of the following compounds will not give azo coupling reaction with benzene diazonium chloride?