List of top Mathematics Questions asked in CUET (UG)

A discrete random variable X has the following probability distribution:

The value of b is:

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

Arun covers first 28 kms of his journey in 45 minutes and the remaining 32 kms in 35 minutes. What is his average speed in m/s ?

A and B started a business by investing ₹10,000 and ₹18,000 respectively. After 4 months C joined the business with a capital of ₹12,000. After two more months B left the business his capital. At the end of the year A got a share of ₹7,500 in the profit. What is the total profit earned ?

Which of the following is called 'Trapezium'?

The coordinates of the foot of the perpendicular drawn from origin to the plane \(2x - 3y + 4z - 6 = 0\) is :

If \(A=\begin{bmatrix} -2&6\\-5&-1\end{bmatrix}\) then \(A^{-1}\) is:

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
Choose the correct answer from the options given below:

What is the value of ⁸¹P₂-⁸¹C₂?

If \(y=sin^{-1}x \) and \((1-x^2)\frac{d^2y}{dx^2} -x \frac{dy}{dx}=K\),then value of K is:

The value of the determinant \(\begin{vmatrix}cos^2θ&cosθsinθ&0 \\-sinθ&cosθ&0 \\ 0&0&1 \end{vmatrix}\) is equal to

For two events A and B
Match List I with List II

List I	List II
A. \(P (\bar{\bigwedge} \cap \bar{B}) = P(\bar{\bigwedge}) . P(\bar{B})\)	I. \(P(A/B) \geq P(A)\)
B. \(A \subset B \) and \(P(B) \neq0\)	II. \(P(A) = P(B)\)
C. \(P(A \bigcup B) = P(A) + P(B)\)	III. A and B are independent events
D. \(P(A|B) = P (B|A)\)	IV. A and B are mutually exclusive events

Choose the correct answer from the options given below:

The C.P. of two shirts taken together is ₹910. If by selling one at a profit of 16% and and the other at a loss of 12%, there is no loss or gain in the whole transaction, then the C.P. of the two shirts are respectively:

The Curved Surface Area of a right circular cylinder of base radius r is obtained by multiplying its volume:

Match List I with List II

List-I		List-II
(A)	Volume of cone	(I)	\(\frac{1}{3}\pi h(r_1^2+r_2^2+r_1r_2)\)
(B)	Volume of sphere	(II)	\(\frac{1}{3}\pi r^2h\)
(C)	Volume of Frustum	(III)	\(\pi r^2h\)
(D)	Volume of cylinder	(IV)	\(\frac{4}{3}\pi r^3\)

Choose the correct answer from the options given below:

At what rate of simple interest, a sum of ₹1,800 will become ₹2,700 in 10 years?

If P, R, T are the areas of parallelogram. a rhombus and a triangle standing on the same base and between the same parallel lines, then which of the following is true?

The number \(0.4\overline{23}\) converted to a fraction, then it is equal to:

If you are head of your office, some media people come to your office and request you brief them about the pension plan of your office, you will:

If Anil's salary is \(20\%\) less than that of Rama, then by what percent is Rama's salary more than that of Anil?

The value of a car depreciates every year by \( 10\%\) . What will be its value after \( 3\) years if its present value is \(₹6,25,000\)?

In how many years a sum placed on compound interest becomes 8 times of itself, if it becomes twice in 6 years?

If two squares X and Y have each side of 10 m and 20 m respectively, then the side of the square Z whose area is equal to the sum of the areas of square X and square Y is:

If the average of \(15, 25, 19, 20, 23, 18\) and\( (x-3)\) is \(20\). then Find the average of \(x, (x+6), (2x-1)\) and \(23\).