List of top Mathematics Questions asked in CUET (UG)

The effective rate which is equivalent to stated rate of \(6\%\) compounded semiannually is:

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 ?

Work done by A in one day is half of the work by B in one day. Work done by B is half on the work done by C in one day. If C alone can do the work in 7 days, then in how many days can A, B and C together complete the work ?

The volume of a sphere of radius r is obtained by multiplying its surface area with :

A particle is moving along the curve \(y=\frac34x^4+3\). The point on the curve at which y-coordinate is changing thrice as fast as the x coordinate, is :

There are two values of a for which the determinant, \(\Delta =\begin{bmatrix}1& -2& 5\\[0.3em]0& a& 1\\[0.3em] 0& 4& 2a\\[0.3em] \end{bmatrix} = 86\), then the sum of these values of a is:

The perimeter of one face of a cube is 24cm, its volume must be :

Mean, Median and Mode of a data are related by the relation

The solution of the differential equation \(\frac{dy}{dx}=-\frac{x}{y}\) is:

The value of \(∫(5x-2)^3\) dx is:

Given relation R={(x, y): y=x+5, x < 4, x, y ∈ N}. Where N is a set of natural numbers then :

The point estimate for the mean number of sales of cars for the following data 103, 140, 92, 115, 110, is:

The prices and the quantities of three commodities are given are :

The Laspeyre's price index number for year 2009 with year 2006 as base is 200. The value of \(x\) is:

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

In a polyhedron, the number of faces is 4 and the number of edges is 6, then the number of vertices of that polyhedron is:

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:

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 \(x=3at^2\), \(y=3at^4\) then \(\frac{dy}{dx}\) is:

If the lines \(\frac{x-1}{-3} = \frac{y-2}{2 \lambda} = \frac{z-3}{2}\) and \(\frac{x-1}{3 \lambda} = \frac{y-1}{2} = \frac{z-6}{-5}\) are perpendicular. Then the value of \(\lambda\) is:

The tangent to the parabola, x² = 2y at the point \((1,\frac{1}{2})\) makes with the x-axis an angle of :

The interval on which the function \(f(x)=2x^3 +12x^2 +18x-7\) is decreasing, is:

A motor boat covers 16 km in 2 hours downstream and 14 km in 2 hours upstream. The speed of the motor boat is:

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 \(x.\)