List of top Questions asked in CUET (UG)

If \(A= \begin{bmatrix}1 & 0 \\[0.3em]-1 & 5 \\[0.3em] \end{bmatrix}\) and \(I= \begin{bmatrix}1& 0\\[0.3em]0& 1\\[0.3em] \end{bmatrix}\) then the value of k so that \(A^2 = 6A + kI\) is given by:

The value of det\((A^2-2A)\),If \(A=\begin{pmatrix}      1 & 3  \\[0.3em]    2  &1  \end{pmatrix}\),is

Let \(A = [a_{ij}]\) be a 2×2 matrix such that \(aij=\frac{|-3i + j|}{2}\)  then \(a_{21}\) is :

The number of square matrices of order 2 using numbers 1 and -1 exactly once and the number 0 twice is:

If, A is a square matrix of order \(3 \times 3\) such that \(A^2 = A\) and I is the unit matrix of order \(3 \times 3\), then the value of \((I-A)^3+A^2+I\) is:

If \(A=\begin{bmatrix} 1 & 2 & x \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}\), \(B=\begin{bmatrix} 1 & -2 & y \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}\) and AB = I₃, where I₃ is the unit matrix of order 3 × 3, then x + y is equal to :

If \(A\)=\( \begin{vmatrix}  3  & 1  \\[0.1em]   -1 & 2  \end{vmatrix}\) then \(A^2-5A=\)

If \(A=\begin{pmatrix}     1 & -2 & 3  \\[0.3em]   4 & 2 &5 \end{pmatrix}\) and \(A=\begin{pmatrix}     1 & 3   \\[0.3em]   4 & 5  \\[0.3em]   2&1 \end{pmatrix}\)and \(BA=(b_{ij})\),then \(b_{21}+b_{32}=\)

The value of 2y-3x, if
\(2\begin {bmatrix}x &5\\ 7&y-3\end{bmatrix}+\begin{bmatrix}3&-4\\ 1&2\end{bmatrix}=\begin{bmatrix}7&6 \\15&14\end{bmatrix}\) is:

If \(\begin{bmatrix}3& 2x + 5y &-2 \\x + 4y  &7 &-5\end{bmatrix}=\begin{bmatrix}3 &10&-2\\ 2&7&-5\end{bmatrix}\) Then the values of x and y are:

If \(\begin{bmatrix} 4x & 5x-7 \\[0.3em] 4x & 2x+y\end{bmatrix}\)=\(\begin{bmatrix} x+6 & y \\[0.3em] 7y-13 & 7\end{bmatrix}\) then the value of 2x + y is:

If A=\(\begin{bmatrix} 2&3 \\ -1&1\end{bmatrix}\)and \(A^2-3A+kI = 0\) then the value of k is:

If \(A= \begin{bmatrix}1&√3&0 \\-√3&1&0 \\ 0&0&2 \end{bmatrix}\) and \(B=\begin{bmatrix}√3&1&0 \\-1&√3&0 \\ 0&0&2 \end{bmatrix}\) then AB is equal to :

For matrix \(A = \begin{bmatrix}3&1\\ 7&5\end{bmatrix}\), the values of x and y so that \(A^2+xI=yA\) are:

If A = \(\begin{bmatrix} 2 & 1 \\[0.3em] 1 & 4 \\[0.3em] -1 & 6 \\[0.3em] 0&7 \end{bmatrix}\) and B= \(\begin{bmatrix} 1 & 2&3&0 \\[0.3em] 2 & -1 & 6&7\end{bmatrix}\) then

If \(\begin{bmatrix}      1 & 2  \\[0.3em]    3  &4  \end{bmatrix}\)\(\begin{bmatrix}      3& 1  \\[0.3em]    2  &5  \end{bmatrix}\)\(=\begin{bmatrix}      7 & 11  \\[0.3em]    K&23  \end{bmatrix}\),then the value of k is

If \(\begin{bmatrix} a+2&3b+2c\\c+3&7d+6 \end{bmatrix}=\begin{bmatrix} 2&-3\\3c&-8 \end{bmatrix}\), then the values of a,b,c and d are.

If the matrix \(A=\begin{bmatrix} 5&4a+6\\a+12&a+3 \end{bmatrix} \)is a symmetric matrix, then the value of a is:

Even the most efficient managers can not handle all the work himself. So it is a pre-requisite to the efficient functioning of an organisation which enables him to focus on high priority activities. Identify the term being reflected above.

Aakash delegated some of his non-core activities to Sumit, his subordinate. It developed Sumit's ability to deal effectively with challenges and helped him to realise his full potential. Identify the importance of organizing from the given paragraph.

Paras Ltd. has been facing the problem of decline in the level of production over last 15 days. On analysing the reason it was observed that the work station got smoky due to burning of fuel and the workers were uncomfortable and not able to focus. Which is the next step in the process of the managerial function undertaken by the manager in this given statement?

Kanan is working in StarPro Ltd. He ensures that his department has necessary workforce and he co-operates with other departments for smooth functioning of the organisation. At which level Kanan is working?

Arrange the Functions of Management in correct sequence.
A. Planning
B. Directing
C. Organising
D. Controlling
E. Staffing
Choose the correct answer from the options given below:

Cash flow from Financing Activities includes:
(A) Issue of Equity shares to promoters 
(B) Redemption of Preference shares at premium 
(C) Interest on debenture paid 
(D) Raising funds by issuing 9% Debentures 
(E) Payment for purchase of Equity shares 
Choose the correct answer from the options given below: 

Which of the following option regarding issue and redemption of debenture is not possible in general?