List of top Mathematics Questions asked in CUET (PG)

Two fair dice are thrown. The probability that the number of times the dice exceeds 3 and that the second exceeds 4 will be
The average of 11 numbers is 52. The average of the first 6 numbers is 55 and the average of last 6 numbers is 49. The sixth number is
Ten cards numbered 1 to 10 are placed in a box and one card is drawn randomly. If it is known that the number on drawn card is more than 2. The probability that it is an odd number is:
The derivative \(\frac{dy}{dx} \) of the function y = sin(cos(log(x))) is,
The area bounded by the curve y = sin(x) between x = 0 to 2π is,
The angle between a pair of lines given by F = 3î +2} − 2k + 1⁄2 (î + 2 j +2k), r = 5î − 2} +1⁄21⁄2 (3î +2ĵ+6k) is
One card is drawn from a well shuffled deck of 52 cards. If each outcome is equally likely. The probability that the card will not be a king is
The value of \(\frac{1}{log_2N}+\frac{1}{log_3N}+\frac{1}{log_4N}+....\frac{1}{log_15N}\) is
If P (A∩B) = P(A).P(B), then event of A and B are
The distance of a point whose position vector is \(\overrightarrow{u}\) from the plane\(\overrightarrow{r}.\overrightarrow{n}=d\) is, 
A vessel is in the form of a hemispherical bowl surmounted by a hollow cylinder. The diameter of the sphere is 42 cm and the height of the vessel is 27 cm. Find its capacity in cm3. (Use: \(\pi = \frac {22}{7}\))
The rate of activity of a person y with age t is given by (1+t) \(\frac{dy}{dx}=e^{-y}-1\). For the initial condition y = 1 at r = 0, the dy dt solution is given by,
The derivative \(\frac{dy}{dx} \) of the function y=xx is
Standard Error of the sampling distribution of a statistic is given by
The arithmetic mean and standard deviation of a series of 20 items were calculated by a student as 20 cm and 5 cm, respectively. But while calculating them an item 13 was misread as 30. The correct standard deviation is
The term which is independent of n in the expansion of (7x2+\(\frac{1}{x}\))6 is
Given below are two statements:
Statement I: The Geometric mean of a set of n observations is the nth root of their product. 
Statement II: If X1, X2, X3 ... Xn are the given n observations, then their G.M. is given by \(\sqrt{(X_1) (X_2) (X_3)....(X_n)}\) In the light of the above statements,
The distance between two straight lines 2x + 3y = 5, 2x + 3y = 10 is,
Consider the trigonometric equation tan(x) - tan(y) = 0, where x and y are not odd multiples π/2. Then the solution of this equation is
If the sets X and Y are mutually exclusive, then P(X∩Y) is
Three cards are drawn successively, without replacement from a pack of 52 well shuffled cards. The probability that first two cards are kings and third card drawn is an ace is
Two trains each of legth 250 m start at the same time on two parallele tracks from point A and point B and approached each other with speed of 36 km/hr respectively. When they crossed each, it was found that one train has moved 40 km more than the other. The distance between A and B is
If the question 3x2-10x+2p=0 has equal roots then the value of p is
The mode of the following distribution: 7, 4, 3, 5, 6, 3, 3, 2, 4, 3, 4, 3, 3, 4, 4, 2, 3.
Consider the linear function from Z to Z: f= {(0, -5), (1, 0), (2, 5), (-1, -10)}. Then the function f(x) is