List of top Mathematics Questions asked in CUET (UG)

Match List I with List II

List I (Functions)		List II (Derivatives)
A.	f(x)=sin-1x	I.	\(\frac{1}{1+x^2}\), x ∈ R
B.	f(x)=tan-1x	II.	\(\frac{1}{\sqrt{1-x^2}}\), x ∈ (-1, 1)
C.	f(x)=cos-1x	III.	\(-\frac{1}{\sqrt{1-x^2}}\), x ∈ (-1, 1)
D.	f(x)=sin-1x	IV.	\(-\frac{1}{1+x^2}\), x ∈ R

Choose the correct answer from the options given below :

A, B and C can do a work in 10, 12 and 15 days respectively. In how many days will the work be completed if B is assisted by both A and C on every third day?

Where does the point P (-5, 0) lies?

Which of the following can be the probability distribution of a random variable ?

If f(x)= \(\frac{\sqrt{4} + x - 2}{x}, If \ x \neq 0 \\ k \ If \ x \neq 0\) ,is continuous at x = 0, then the value of k is:

If f(x) =\(\begin{cases}\frac{x^2-9}{x-3}, x≠3 \\ 5, x=3 \end {cases}\) then f(x):

What should replace the question mark ?
\(\frac{854\times 854 × 854-276 × 276 × 276}{854 \times854 + 854×276+276 × 276}=?\)

In reference to sampling, match List I with List II

Choose the correct answer from the options given below:

A sum of money triples it self in 3 years at compound interest. In how many years will it becomes 9 times

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 :

The points on the curve \(\frac{x^2}{9} + \frac{y^2}{16} = 1\) at which the tangents are parallel to x-axis:

The integrating factor of the differential equation (1 +y²)dx - (tan^-1 y - x)dy = 0, is :

A borrowed Rs 10000 each from his friends B and C for 2 years. He was supposed to pay compound interest at 10% per annum to B and simple interest 11% per annum to C. Who charged more interest at the end of 2 years and how much more ?

Which three of the given can be added to get a rectangular figure?

The minimum value of z=3x+6y subject to the constraints \(2x+3y≤180\), \(x+y≥60\), \(x≥3y\), \(x≥0\), \(y≥0\) is:

Match LIST I with LIST II

List-I		List-II
A	If the corner points of the feasible region For an LPP are (0, 4), (5, 0), (7, 9), then the minimum value of the objective function Z =5x+y is.	I	27
B	If the corner points of the feasible region for an LPP are (0, 0), (0, 2), (3, 4), (5, 3). then the maximum value of the objective function Z=3x+4y	II	60
C	The comer points of the feasible region for an LPP are (0, 2), (1, 2), (4,3), (7, 0). The objective function is Z = x+5y. Then (Max Z+Min Z) is	III	25
D	If the corner points of the feasible region for an LPP are (0, 4), (3, 0), (3, 2), (6,9) The objective function is Z=2x+6y. Then (Max Z-Min Z)	IV	26

Choose the correct answer from the options given below

Cost of 6 pens and 9 pencils is ₹126. What is the cost of 8 pens and 12 pencils?

The area of the region bounded by the curves \(x^2=4y\), the line x = 3 and x axis is:

Speed of the boat along the current and against the current are 10 km/h and 8 km/h respectively.
What is the speed of the current?

Two unbiased coins are tossed. What is the probability of getting one head and one tail?

If\( cos 6\theta= sin 3\theta\), then the value of \(\theta\) is:

A random variable has the following probability distribution

The value of P(X <3) is:

If the mean of the probability distribution is 5, then the value of k is:

For a discrete random variable X, whose probability distribution is defined as :
\(P(x)=\begin{cases} 2k(x+1) ;& x = 0,1 \\ 3kx; &  x=2 \\ k(5-x) & x=3 \end{cases}\)
The value of mean will be