List of top Questions asked in CUET (PG)

The octal equivalent of Binary 101110010 is:

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:

Which one of the following is CORRECT about selection logic?

Which one of the following is not I/O device ?

File extension '.txt' means:

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:

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

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

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

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

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:

Match List - I with List - II.

Choose the correct answer from the options given below:

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

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 :

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 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:

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Manure is an organic substance that is obtained from decomposition of vegetable and animal waste.
Reason (R): Manure is readily soluble in water thus it is absorbed by plants quickly.
In the light of the above statements, choose the most appropriate answer from the options given below: