List of top Questions asked in CUET (UG)

Let\[f(x)=\begin{cases} 2x-1, x<1\\ 1, x=1 \\ x^2,x>1 \end{cases}\]then at x = 1

If A=(2, 3), B = (-1, 0), C = (4, 6) then area of the parallelogram ABCD is:

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

Which of the following is a correct statement ?

If \(A= \begin{bmatrix}1&√3&0 \\-√3&1&0 \\ 0&0&2 \end{bmatrix}\) and \(B=\begin{bmatrix}√3&1&0 \\-1&√3&0 \\ 0&0&2 \end{bmatrix}\) then AB is equal to :

Domain of function \(f(x) = cos^{-1}\sqrt {2x-1}\) is

The domain of the function f(x) = log \((x^2-4)\) is:

For real numbers a and b, define aRb if b-a+√5 is an irrational number. Then the relation R 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?

The maximum value of Z = 3x + 4y subject to constraint x + y ≤6, x, y ≥ 0 is:

If a discrete random variable X has the following probability distribution:

then c is:

A discrete random variable X has the following probability distribution:

X	1	2	3	4	5	6
P(X)	\(\frac{2}{k}\)	\(\frac{4}{k}\)	\(\frac{1}{k}\)	\(\frac{2}{k}\)	\(\frac{3}{k}\)	\(\frac{5}{k}\)

The value of k is:

The equation of the curve whose slope is given by \(\frac{dy}{dx}=\frac{4x}{y}\), x>0,y>0 and which passes through the point (2, 2) is: 

The sum of the order and degree of differential equation \(2x^3\left(\frac{d^2y}{dx^2}\right)^4 + \frac{d^3y}{dx^3}+y=0\) is :

Area bounded by y=|x-5| and x-axis between x = 2; and x = 4 is:

The value of \(∫(5x-2)^3\) dx is:

If \(f(x)=-3x^2\), then f(x) is:

The slope of normal to the curve \(y = 3x^2-6x\) at x = 0 is:

If A is a square matrix of order 3 such that |A|= 2, then the value of |adj(adj A)| is:

The area of a triangle with vertices (0, -3), (0, 3) and (k, 0) is 27 sq.units. The value of k is:

If \(\begin{bmatrix} 4x & 5x-7 \\[0.3em] 4x & 2x+y\end{bmatrix}\)=\(\begin{bmatrix} x+6 & y \\[0.3em] 7y-13 & 7\end{bmatrix}\) then the value of 2x + y is:

If A = \(\begin{bmatrix} 2 & 1 \\[0.3em] 1 & 4 \\[0.3em] -1 & 6 \\[0.3em] 0&7 \end{bmatrix}\) and B= \(\begin{bmatrix} 1 & 2&3&0 \\[0.3em] 2 & -1 & 6&7\end{bmatrix}\) then

Choose the missing terms out of given alternatives : A3, E4, 110, 033, U136, ?

Six lectures are scheduled in a week starting from Monday and ending on Sunday with one off day in between. Computer science is not or Tuesday on Saturday. Psychology is immediately after organisational behaviour. Statistics is not on Friday and there is one day gap between statistics and Research methods. One day prior to the schedule of Economics there is no lecture (as that day is the off day and Monday is not the off day)
On which day is computer science scheduled ?

A clock is started at noon. By 20 minutes part 6, the hand had has turned through :