List of top Mathematics Questions asked in CUET (UG)

If \( 8 + 3x < |8 + 3x|, x \in \mathbb{R} \), then \( x \) lies in : 

If the cost function and revenue of x unit of an item are given by C(x)=25x²-x and R(x)=4x. Then the number of item to be produced to have maximum profit is,

If the points (2, 1), (1, 4) and (a, 3) are collinear then the value/(s) of a is/(are):

In a game. a child will win Rs 5 if he gets all heads or all tails when three coins are tossed simultaneously and he will lose Rs 3 for all other cases. The expected amount to lose in the game is

Let A and B be two non zero square matrices and AB and BA both are defined. It means

The number of all possible matrices of order 2 x 2 with each entry 0 or 1 is:

Below are the stages for Drawing statistical inferences.

1. Sample
2. Population
3. Making Inference
4. Data tabulation
5. Data Analysis
   Choose the correct answer from the options given below:

If \(y= log(sec\ e^{x^2})\), then \(\frac {dy}{dx}\) =?

Which of the following statements are correct?
A. If discount rate > coupon rate, then present value of a bond > face value
B. An annuity in which the periodic payment begins on a fixed date and continues forever is called perpetuity
C. The issuer of bond pays interest at fixed interval at fixed rate of interest to investor is called coupon payment
D. A sinking fund is a fixed payment made by a borrower to a lender at a specific date every month to clear off the loan
E. The issues of bond repays the principle i.e. face value of the bond to the investor at a later date termed as maturity date
Choose the correct answer from the options given below:

If y = a + b(x − 2005) fits the time series data:

x(year):	2003	2004	2005	2006	2007
y (yield in tons):	6	13	17	20	24

Then the value of a + b is :

Hari covers 100m distance in 36 seconds. Ram covers the same distance in 45 seconds. In a 100m race, Hari ahead from Ram is

Given that \(∑p_0q_0\) = 700, \(∑p_0q_1\) = 1450, \(∑p_1q_0\) = 855 and \(∑p_1q_1\) = 1300. Where subscripts 0 and 1 are used for the base year and a current year respectively. The Laspeyer's price index number is:

A cable network provider in a small town has 500 subscriber and he used to collect Rs. 300 per month from each subscriber. He proposes o increase the monthly charges and it is believed from the past experience that for every increase of Rs. 1, one subscriber will discontinue the service.
Based on the above information answer the following question:
What is the increase in the changes per subscriber that yields maximum revenue?

The solution of the differential equation \(xdy — ydx = 0\) represent family of

The function \(f(x) = x^2 - 2x\) is strictly decreasing in the interval.

A mixture contains milk and water in the ratio 8 ∶ x. If 3 liters of water is added in 33 liters of mixture, the ratio of milk and water becomes 2 ∶ 1, then value of x is:

A motorboat can travel in still water at the speed 15 km/h, while the speed of the current is 3 km/h. Time taken by boat to go 36 km upstream is:

The Value of tan⁻¹ [2sin{2cos⁻¹ (\(\frac {\sqrt 3}{2}\))}].

Corner points of the feasible region for an LPP, are (0, 2), (3, 0), (6, 0) and (6, 8). If z = 2x + 3y is the objective function of LPP then max. (z)-min.(z) is equal to:

Let $A = \begin{bmatrix} \cos^2 x & \sin^2 x \\ \sin^2 x & \cos^2 x \end{bmatrix}$ and $B = \begin{bmatrix} \sin^2 x & \cos^2 x \\ \cos^2 x & \sin^2 x \end{bmatrix}$. Then the determinant of the matrix $A+B$ is ________.

The general solution of the differential equation $\frac{dy}{dx}+\frac{x}{y}=0$ is ________.

The solution of the differential equation $\frac{dx}{dy}+Px=Q$, where P and Q are constants or functions of y, is given by ________.

The equation of the tangent to the curve given by $x=a \sin^{3}t$, $y=b \cos^{3}t$ at a point where $t = \frac{\pi}{2}$ is ________.

If $f(x)=ax^{2}+6x+5$ attains its maximum value at $x=1$, then the value of a is ________.

Let $[x^{r}]$ denotes the greatest integer of $x^{r}$ and $|x|$ denotes the modulus of x. Then $\lim_{x\rightarrow0}\frac{\sum_{r=1}^{100}[x^{r}]}{1+|x|}$ is ________.