List of top Mathematics Questions asked in CUET (PG)

A newspaper contains various types of news items which is the following of the data types?

For any positive integer 7^m-3^m is divisible by

Look at the series : 1224, 612, 204, 102, 34,…. which one of the following numbers should come next in the series?

If a certain sum invested on compound interest become 3 times in 4 years, then the no. of years in which this sum will become 27 times at the rate interest is

Let is the mean of the variate values X₁, X₂,..., X_N. If a constant value A is subtracted from each variate value, then the resulting new mean is

If the question 3x²-10x+2p=0 has equal roots then the value of p is

Two fair dice are thrown. The probability that the number of times the dice exceeds 3 and that the second exceeds 4 will be

If P (A∩B) = P(A).P(B), then event of A and B are

The derivative \(\frac{dy}{dx} \) of the function y = sin(cos(log(x))) is,

The term which is independent of n in the expansion of (7x²+\(\frac{1}{x}\))⁶ 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

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

A committee of two persons is selected from two men and two women. What is the probability that the committee will have at least one man?

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=x^x 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

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

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 ... X_n 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,