List of top Mathematics Questions asked in CUET (UG)

The principal value of \(\sin^{-1}(\frac{1}{2})\) is :

The value of λ for which the matrix \(\begin{pmatrix} 1 & 0 & λ \\ 0 & 1 & 0 \\ 1 & 0 & 1 \end{pmatrix}\) is a singular matrix is :

If \(a:b=\frac{2}{3}:\frac{1}{4}\) and \(b:c=\frac{3}{4}:\frac{4}{5}\) then find a : b : c.

In what ratio the line segment joining the points (-2, 3) and (3, -7) is divided by x-axis ?

Find the average of first 10 prime numbers.

Mean of 28, 30, 26, (K+6) and (K+1) is 25. Find the mean of 32, 39 and 2k

A is three years younger than B, who is twice as old as C. If the sum of their ages be 52 years, then what will be the age of B (in years) two years hence ?

Four men can do a work in 10 days and 5 women can do the same work in 12 days. How many women must work with 3 men to do the same work in 8 days ?

121.2 - 1.212 + 12.12

If \(y=\sqrt{\log x+\sqrt{\log x+\sqrt{\log x+\sqrt{\log x+}}}}.....+\) then \(\frac{dy}{dx}\) is :

A matrix P of order 2 × 3 with each entry 0 or 1 and α is a scalar which is 3 or 4. If R = αA, the number of matrices R formed is :

If the transpose of matrix A is matrix B, where \(A=\begin{bmatrix} 2a & 1 & 3b \\ 1 & 2 & 4c \\ 5 & 6 & 0 \end{bmatrix}\)and \(B=\begin{bmatrix} 4 & 1 & 5 \\ 1 & 2 & 6 \\ 9 & 3 & 0 \end{bmatrix}\)then the value of 3a + 2b + 4c is :

The solution set of inequalities :
x + 3 ≤ 0 and 2x + 5 ≤ 0; if x ∈ R is :

The direction cosines of a line which makes equal angles with the co-ordinate axes is/are :

ABCD is a rhombus, whose diagonals intersect at E. Then \(\overrightarrow{EA}+\overrightarrow{EB}+\overrightarrow{EC}+\overrightarrow{ED}\) equals to :

The general solution of the differential equation xdy - ydx - 0 represents :

A flight from Delhi to Mumbai leaves every 5 hours. At the evening counter, it clarify that flight took off 25 minutes ago. If the time now is 10:40 am, what is the time for the next flight ?

A machine costing ₹ one lakh depreciates at constant rate 10%. Estimated useful life of machine is 8 years.
Match List I with List II

List I		List II
A.	Total depreciation in 2nd and 3rd year is	I.	₹81,000
B.	Value of machine after one year is	II.	₹17,100
C.	Value of machine after 2 year is	III.	₹43050
D.	Scrap value of machine is : given (1.1)3 - 2.144 & (0.9)3 - 0.4305	IV.	₹90,000

Choose the correct answer from the options given below :

The graph of the inequality 3x - 2y > 6 is

In a 1000 m race. A beats B by 50 meters or 10 seconds. The time taken by A to complete the race is :

If x = 4t², \(y=\frac{3}{t^3}\), then \(\frac{d^2y}{dx^2}\) at t = 1 is :

In a binomial distribution, the probability of getting a success is \(\frac{1}{3}\) and the standard deviation is 4. Then its mean is :

If \(3\begin{bmatrix} x&3\\2&1 \end{bmatrix}+4\begin{bmatrix} 1&2\\5&y \end{bmatrix}=\begin{bmatrix} 10&17\\26&11 \end{bmatrix}\)then the value of (3x+2y) is:

Match List I with List II

LIST I		LIST II
A.	The maximum value of the function \(f(x)=25x-\frac{5x^2}{2}+7\) in [-1,6] is	I.	24
B.	The minimum value of the function \(f(x)=2x^3-15x^2+36x+1\) in [1,5] is	II.	\(\frac{1}{16}\)
C.	The maximum value of the function \(f(x)=\frac{x}{2}-x^2\) in [0,1] is	III.	\(\frac{139}{2}\)
D.	The least value of the function \(f(x)=\frac{9}{x+3}+x\) in [-7,1], \(x\ne-3\) is	IV.	\(-\frac{37}{4}\)

Choose the correct answer from the options given below:

The probability distribution of a discrete random variable X is defined as:
\(P(X=x)=\begin{cases} 3kx & \text{for } x=1,2,3\\  5k(x+2) & \text{for } x=4,5 \\ 0& \text{otherwise}\end{cases}\)
The mean of the distribution is: