List of top Questions asked in CUET (UG)- 2023

In the equation of trend line \(y_t=a+bx\), a and b represent:
The area of a triangle is 9y cm2. Find the value of y if its area is equal to the area of an equilateral triangle having side 6 cm.
If three vertices of a rhombus taken in order are (2, -1), (3, 4) and (-2, 3), then the fourth vertex is :
The mean and the median of a certain data are 13.3 and 13.5 respectively. Find the mode.
A man was allotted a work for 30 days on the condition that he would get ₹ 10 per day as wage if he reports for work and if he remains absent he would have to pay ₹ 2 as penalty for the day. Ultimately he got ₹ 216. For how many days he remained absent ?
In the figure, O is centre of the circle. What is the measure of ∠ABC ?
Circle with O as the centre.
If perimeter of a rhombus is 104 cm and length of one of its diagonals is 48 cm, then area of the rhombus (in cm2) is:
Find the median of the following data: \(42, 19, 46, 17, 8, 35, 26, 39, 29\)
Find the average of squares of first five natural numbers.
A thief is spotted by a policeman from a distance of \(200 \)meters. The policeman starts chasing at a speed of \( 10 \frac{km}{h}\) while the thief is running at a speed of \( 8\frac{km}{h}\). After how much time (in minutes) will the thief be caught?
A ladder 25 feet long is leaning against a wall such that it touches 24 feet high window. How far is the foot of the ladder from the wall?
If the points (2, -3), (λ, -1) and (0, 4) are collinear, then the value of λ is :
If \(f(x)=\begin{cases} 2x+8, & 1\le x\le2 \\ 6x, & 2\lt x \lt4\end{cases}\), then \(\int_1^4f(x)\) is :
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 :