List of top Mathematics Questions asked in CUET (UG)

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

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

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

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:

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 = 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 :

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:

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:

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

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

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: