List of top Mathematics Questions asked in CUET (UG)

The region represented by the system of inequalities x, y≥0, y≤8, x + y≤4 is:

If \(A (2,3), B(2,4) C(4,9)\)and \(D (x,8)\) are the vertices of a parallelogram \(ABCD\), then find the value of \(x.\)

If the present value of a perpetuity of ₹600 payable at the end of every six months is ₹18000, then the rate of interest is:

The effective rate equivalent to a nominal rate of 8% per annum compounded semi-annually is:

The area of the region bounded by |x| + |y| = 1, x ≥ 0 y ≥ 0 is :

The value of 28 mod 3 is.

A solid hemisphere of radius \(24 cm\) is melted and identical cones each of base radius\( 8 cm\) and height \( 6 cm \) are formed. How many such cones are formed?

If \(x\sqrt{1+y}+y\sqrt{1+x}=0;x\ne y\), then the value of \(\frac{d^2y}{dx^2}+2\frac{dy}{dx}\) at x = 1 is :

Match List I with List II

Choose the correct answer from the options given below:

Which index number is used to compare cost of living at two different cities?

he trend line for the sales (in lakhs) is given by \(y_c=84+12(x-2017).\) The estimated sale for theyear \(2024 \) is :

If \(2\sin2\theta=\sqrt3\), where 0 ≤ 2θ ≤ 90°, then find the value of cos 3θ

In a certain code, COMPUTER is coded as ETUPMOCR. How is INACTIVE written in the same code?

If A is a non-identity invertible symmetric matrix, then \(A^{-1}\) is:

For the problem max Z = ax + by, x≥0, y ≥0, which of the following is NOT a valid constraint to make it a linear programming problem?

Choose the wrong statement from the following:

A carpenter earns a profit of ₹50 and ₹80 on one chair and one table respectively. The requirement and availability of wood and labour are tabled as:

The number of chairs and tables in appropriate units to be manufactured for maximum profit are, respectively:

An electric company has 300 Transistors, 400 Capacitors and 500 Inductors. The company wishes to make electronic goods using two circuits A and B. Requirement by circuit is as follows :

	Transistor	Capacitor	Inductor
A	175	300	200
B	125	100	300

The profit from circuit A and B is ₹2000 and ₹3000 respectively then constrains of the LLP based on this data are :

The money needed to invest now, so as to get ₹7500 at the beginning of each month forever (starting from the current month) if the money is worth 9% per annuum compounded monthly is.

The direction ratios of the line perpendicular to the lines \(\frac{x-7}{-6}= \frac{y+17}{4}= \frac{z-6}{2} \space and \space \frac {x+5}{6}=\frac{y+3}{3}=\frac{z-4}{-6}\) are proportional to:

The function f(x) - x³ , x ∈ R has :

The value of tan(cos^-1x) is:

If \(A = \begin{bmatrix} 4&5&2\\ 3&-1&7\end{bmatrix}\), then the sum of the elements of the matrix AA^T is:

If \(y = log(\frac{x^5}{e^5})\), then \(\frac{d^2y}{dx^2}\) is,

The value of C which satisfies Rolle's Theorem for f(x) = sin⁴x + cos⁴x in \([0, \frac{π}{2}]\). Then C is: