List of top Mathematics Questions asked in CUET (UG)

A. $\begin{bmatrix}1& 2& 3   \\[0.3em]2 & 4 & 5   \\[0.3em]3 & 5&6   \\[0.3em] \end{bmatrix}$ is a Symmetric matrix. 
B. $\begin{bmatrix}0 &0 &0   \\[0.3em]0& 0&0   \\[0.3em] \end{bmatrix}$ is a Null matrix.
C. $\begin{bmatrix}1& 0& 0   \\[0.3em]0 & 2 & 0\\[0.3em]0 & 0&3\\[0.3em] \end{bmatrix}$ is an Identity matrix.
D. $\begin{bmatrix}0& 1&2   \\[0.3em]-1 & 0 & 3   \\[0.3em]-2 & 3&0\\[0.3em] \end{bmatrix}$ is a Skew symmetric matrix.
E. $\begin{bmatrix}\sqrt{3} &0& 0\\[0.3em]0 & \sqrt{3} & 0   \\[0.3em]0 & 0&\sqrt{3}   \\[0.3em] \end{bmatrix}$ is a Scalar matrix
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If, $f(x) = \begin{bmatrix}0 & x-a & x-b \\[0.3em]x+a&o & x-c \\[0.3em]x+b & x+c & 0\\[0.3em] \end{bmatrix}$, then $f(0)$ 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 the mean of the probability distribution is 5, then the value of k is:

Derivative of $2x^2$ with respect to $5x^4$ is:

Which of the following are propositions ?
(A) The sum of four angles of quadrilateral is 180°.
(B) A line segment has two end points.
(C) 7𝑥+3=14
(D) 3 X 9=21

The equation of the curve whose slope is given by $\frac{dy}{dx}=\frac{4x}{y}$, x>0,y>0 and which passes through the point (2, 2) is: 

Cost of 6 pens and 9 pencils is ₹126. What is the cost of 8 pens and 12 pencils?

Arun invests an amount of ₹4,000 at the rate of 2% simple interest per annum. For how many years did he invest the amount to double his sum?

A car costing ₹8,50,000 has scrap value of ₹1,25,000. If annual depreciation charge is ₹1,45,000, then useful life of the car is:

If $x = \frac{1}{t^2}$ and $y =\frac{1}{t^3}$, then $\frac{d^2y}{dx^2}$ at $t=1$ is:

The following data are from a simple random sample: 1, 4, 7
The point estimate of the population standard deviation is:

A coin is tossed 5 times. The probability of getting atleast one head is:

The maximum profit that a company can make if the profit function is given by
$P(x)=32+24x-18x^2$ is:

Let A and B be symmetric matrices of same order, then which of the following statement is true?

For x+y=8, the maximum value of xy is:

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

The region represented by the system of inequalities x, y≥0, y≤8, x + y≤4 is:

With reference to time series, match List I with List II

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For the LPP Max Z=3x+4y, x+y≤40; x+2y≤ 60, x≥0, y≥0 the solution is:

If $A = \begin{bmatrix} 4&5&2\\ 3&-1&7\end{bmatrix}$, then the sum of the elements of the matrix AA^T is:

If $x^{\frac{3}{4}}+y^{\frac{3}{4}}=a^{\frac{3}{4}}$ (a is a constant) then $\frac{dy}{dx}$ is equal to :

For the formula $t= \frac{μ_1 - μ_2}{\sqrt {\frac{S_1^2}{n_1}+\frac{S_2^2}{n_2}}}$ consider of the following statements:
A. $μ_1$ and $μ_2$ are sample mean and population mean respectively.
B. $n_1$ and $n_2$ are sample sizes of two samples from same population.
C. $S_1$ and $S_2$ are sample means of two samples from same population.
D. $S_1$ and $S_2$ are standard error of two samples from same population.
E. $n_1$ is the sample size and $n_2$ is the population size.
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Fisher's price index number is:

A random variable X has the following probability distribution

then value of E(X) is: