List of top Mathematics Questions asked in CUET (UG)

Two pipes A and B can fill a cistern in 15 minutes and 30 minutes respectively. Both pipes are opened together, but after 5 minute pipe B is turned off. The cistern will be full in total:

A motor boat covers 36 km downstream and 24 km upstream. If the boat takes 6 hours to cover each distance, then the speed of the motor boat in still water is.

For the data

The weighted price index number is:

If \(\vec x\) and \(\vec y\) are two collinear vectors, then which of the following are incorrect?

The value of \(∫\frac{dx}{x^2-6x+13}\)is:

Let \(f: \R → \R\) be defined by \(f(x) = x^2\), for every \(x∈\R\). Then \(f\) is:

The angle between the straight lines \(\frac{x+4}{2}=\frac{y+5}{5}=\frac{z+6}{3} \space and \space \frac{x-4}{10}=\frac{y-5}{2}=\frac{z-6}{-10}\) is.

The derivative of \(f (cot x)\) with respect to \(g (cosec x)\) at \(x=\frac{π}{4}\) (where \(f'(1)=2.g'(\sqrt2)=4\)) 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:

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:

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

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:

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.