List of top Mathematics Questions asked in CUET (UG)

If y = \(10^{10^x}\), then \(\frac{dy}{dx}\) is :
If \(A=\begin{bmatrix} x & 1 \\ 1 & 0 \end{bmatrix}\)and A = A-1, then the value of x is :
If x, y, z are different and \(A=\begin{vmatrix} x & x^2 & 1+x^3 \\ y & y^2 & 1+y^3 \\ z & z^2 & 1+z^3 \end{vmatrix}=0\), then the value of xyz is :
If the points (2, -3), (λ, -1) and (0, 4) are collinear, then the value of λ is :
The solution of \(7x ≡ 3(mod 5)\) is:
In an A.P., the product of the first term and the second term is 120 and the product of the second term and the third term is 168. Find the tenth term of the A.P. when common difference \(d>0\)
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?
In a \(\angle\)\(ABC\) right angled at A, if \(\triangle\)\(ABC=60°\) and\( AC=4\) units, then length of \(BC\) (in units) is :
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?
Which of the following speeds is maximum?
The heights of two right circular cones are in the ratio \(1 : 2\) and the circumferences of their bases are in the ratio \(3: 4.\) Find the ratio of their volumes.
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.
If point \(B(0, 1)\) is equidistant from points\( A(5, -3) \)and \(C(x, 6)\), then find the values of \( x\)
Two bags of iron ore weight 180 kg 250 gm and 270 kg 50 gm respectively. How much iron ore (in gm) must be taken out from the first bag and added to the second bag so that weight of the first bag may then be two-third of the second bag?
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:
Three coins are tossed once. Probability of getting no head is :
The area of a circle is \(154 \text{ }cm^2\). Find the circumference of the circle. Take \(\pi=\frac{22}{7}\)
If \(A: B: C=1:4: 7 \) and \(B = (2x) % \)\(%\)\(\%\)of \((A+C)\), then \(x \) is :
The sum of the first four terms of an A.P. is 56 and the sum of its last four terms is 112. If its first term is 11, then find the number of terms.
A ladder of length 30 m is leaning against a wall making an angle of 30° with the horizontal. Find the distance between the foot of the ladder and the wall.
A student goes to school from his residence at a speed of \(2\frac{1}{2}\) km/h and reaches school 6 minutes late. If he travels at a speed of 3 km/h, he reaches 10 minutes before time. What is the distance of his school from his residence ?
Amit can do a task in 10 days and Bhanu can do the same task in 40 days. In how many days will the task be completed if they work together ?
A 10 m long, 4 m high and 24 cm thick wall is to be built using bricks having dimensions 25 cm × 12 cm × 8 cm. Number of bricks required is :
If three vertices of a rhombus taken in order are (2, -1), (3, 4) and (-2, 3), then the fourth vertex is :