List of top Questions asked in CUET (PG)

File extension '.txt' means:

Consider the following statements about set:
A. $35 \in \{x : x \text{ has exactly four positive factors}\}$}
B. $128 \in \{y : \text{the sum of all positive factors of } y \text{ is } 4y\}$}
C. $3 \notin \{x : x^4 - 5x^3 + 2x^2 - 112x + 6 = 0\}$}
D. $28 \in \{y : \text{the sum of all positive factors of } y \text{ is } 2y\}$} Choose the correct answer from the options given below:

Let $y_{1}=e^{-x} cosx, y_{2}=e^{-x} sinx$. Choose the correct statements out of the following:
A. the Wronskian determinant is zero
B. the Wronskian determinant is $e^{-2x}$}
C. $y_{1}$ and $y_{2}$ are linearly dependent}
D. $y_{1}$ and $y_{2}$ are linearly independent} Choose the correct answer from the options given below:

The Electronic Discrete Variable Automatic Computer (EDVAC) is built by:

Consider the function $f(x)$ for an interval $(-\pi,\pi)$ then which one of the following is NOT correct Dirichlet's condition for a Fourier series?

The values of x, y, z and 'a' which satisfy the matrix equation $\begin{bmatrix}x+3& 2y+x \\ z-1& 4a-6\end{bmatrix}=\begin{bmatrix}0& -7 \\ 3& 2a\end{bmatrix},$ respectively, are:

The determinant of the matrix $\begin{bmatrix}3 & -1& -2\\0& 0& -1\\3 & -5& 0\end{bmatrix}$ is:

The integrating factor of following differential equation is : $\frac{dy}{dx}-\frac{3x^{2}-1}{x^{3}-x}y=x^{2}-1$}

Let $y=A~cos(x)+B~sin(x)$ the differential equation by eliminating A and B constants is given by:

The equation of a sphere is $3x^{2}+3y^{2}+3z^{2}+12x+18y+24z+30=0.$ The centre and radius of sphere, respectively, are:

Consider the following statements about matrix:
A. If A is an orthogonal matrix, then $|A|=1$
B. The inverse of an orthogonal matrix is non-orthogonal.
C. The transpose of an orthogonal matrix is orthogonal.
D. If A and B are two orthogonal matrix, then AB is non-orthogonal. Choose the correct answer from the options given below:

The Laplace transform of function $f(t)=t^{3}$ is:

If $a = cos\theta + i \cdot sin\theta$ then $1+a^{2}$ is:

For $6x^2 - 12y^2 = -36$ hyperbola, the lengths of conjugate axis and latus-rectum, respectively, are:

If $A = \{1, 3, 7, 9, 11\}$ and $B = \{3, 9, 12, 15, 18\}$ then $A \cap B$ is:

Match List - I with List - II.

Choose the correct answer from the options given below:

The imaginary part of $tanh(x+iy)$ is:

Match List - I with List - II.

Choose the correct answer from the options given below :

Which inorganic form(s) of nitrogen do plants assimilate?
A. Amino acids
B. $NH_{4}^{+}$
C. ${NO_{3}}^{-}$
D. ${NO_{2}}^{-}$
Choose the correct answer from the options given below:

Which factors do show considerable influence on the activity of nitrogenase enzyme during $N_{2}$ fixation?
A. Molybdenum
B. Molecular $H_{2}$
C. Boron
D. Leghemoglobin
Choose the correct answer from the options given below:

Which are the symbiotic nitrogen-fixing bio-fertillizers?
A. Rhizobium
B. Azotobacter
C. Azospirillum
D. Azollae
Choose the correct answer from the options given below:

Match List - I with List - II.

Choose the correct answer from the options given below :

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Uptake of hydrogenase activity is a mechanism of removing hydrogen from the site of nitrogen activity which concurrently carries out reactions of nitrogen fixation and hydrogen production.
Reason (R): Acetylene reduction technique is a common method of measuring nitrogenase activity.

Find the correct order for the conversion of organic form of nitrogen into inorganic form by soil microorganisms.
A. Formation of nitrites
B. Formation of ammonia
C. Formation of free nitrogen
D. Formation of nitrates
Choose the correct answer from the options given below:

Mention the correct sequence of the formation of compounds during biological nitrogen fixation.
A. Hydrazine
B. Nitrogen
C. Ammonia
D. Diamide
Choose the correct answer from the options given below: