List of top Mathematics Questions asked in CUET (UG)

The average of a positive number, its square and 3 is 5. Find the number.
Which term of the A.P. \( 3, 7, 11,........ ,147 \) is its middle term?
A trader sold half of his articles at 60% profit, half of the remaining at 20% loss and the rest was sold at the cost price. In total transaction his gain % or loss % will be:
The surface area (in \(m^2\)) of a sphere of radius 7 cm is :(Use \(\pi= \frac{22}{7}\))
How many 3 digit even numbers can be formed from the digits (0-9) if repetition of digits are allowed?
The sum of an Infinite geometric series is 4 and the sum of the cubes of the terms of the same GP is 192. The Common Ratio of the original geometric series is :
Which of the following statements are incorrect?
(A) Volume of a cone = \(\frac{1}{3} \pi r^3 h\)
(B) Volume of a cone = \(\frac{1}{3} \pi r^2 h\)  
(C) Volume of a hemisphere = \(\frac{2}{3} \pi r^2\)  
(D) Volume of a hemisphere = \(\frac{2}{3} \pi r^3\)  
(E) Volume of a cylinder = \(\frac{1}{3} \pi r^3 h\)  
Choose the correct answer from the options given below:
If the matrix \(\begin {bmatrix} x-y&1&-2 \\ 2x-y&0&3 \\ 2&-3&0 \end {bmatrix}\) is skew-symmetric, then values of x and y are respectively
The curved surface area of a right circular cone of height 12 cm and base diameter 10 cm is:
Find the 18th and nth term of the A.P. given by :
8, 13, 18,...
If a person travel \(10\frac{1}{5}\) Km in 3h, then the distance covered by him in 5 h will be :
Find the co-ordinate of the mid point of a line which joins P(2,-1) and Q(-3, 4):
How many chords can be drawn through 5 points on a circle ?
Two pipes A and B can fill a tank in 10 h and 15 h Respectively. Find the time taken to fill the tank when both the pipes are turned on simultaneously :
At what rate of interest 1,200 becomes ₹ 1,323 in 2 years where interest gets compounded annually:
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 bag contains 6 white and 4 black ball. Two balls are drawn at random. Then the probability of getting balls of the same colour is ___.
If A is a non singular square matrix of order 3 such that \(A^3 = 4A^2\) then value of |A| is:
Derivative of \(2x^2\) with respect to \(5x^4\) is:
Le L be the set of all lines in a plane and R be the relation in L. defined as R = {(\(L_1, L_2\)): \(L_1\) is perpendicular to \(L_2\)} then R is:
A) Reflexive
B) Symmetric
C) Neither reflexive nor transitive
D) Transitive
E) Neither reflexive nor symmetric
Choose the correct answer from the options given below:
Consider the non-empty set consisting of children in a family and a relation R is defined as aRb if a is a brother of b. Then R is:
The value of the expression sin \([cot^{-1}(cos (tan^{-1}1))]\) is:
If \(x = \sqrt{a^{sin^{-1} t}}\), \(y = \sqrt{a^{ cos^{-1}t}}\) then \(\frac{dy}{dx}\) is:
Two cards are drawn without replacement. The probability distribution of number of aces is given by:
The solution set of the inequality \(2x + 3y < 4\) is: