List of top Mathematics Questions

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
If P (A∩B) = P(A).P(B), then event of A and B are
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:
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: \(\pi = \frac {22}{7}\))
Consider the linear function from Z to Z: f= {(0, -5), (1, 0), (2, 5), (-1, -10)}. Then the function f(x) 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
The value of \(\frac{1}{log_2N}+\frac{1}{log_3N}+\frac{1}{log_4N}+....\frac{1}{log_15N}\) is
The distance between two straight lines 2x + 3y = 5, 2x + 3y = 10 is,
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
The area bounded by the curve y = sin(x) between x = 0 to 2π is,
If the sets X and Y are mutually exclusive, then P(X∩Y) 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
The distance of a point whose position vector is \(\overrightarrow{u}\) from the plane\(\overrightarrow{r}.\overrightarrow{n}=d\) is, 
If X and Y are invertible matrices of same order then
On a certain sum of money lent at 16% per annum, the difference between the compound interest for 1 year, payable half yearly and the simple interest for 1 year is ₹ 56. The sum is:
The average marks of students in a group of 6 students is 119. The individual marks of five of them are 115, 109, 129, 117, 114. The marks of sixth student is
The regression analysis confined to the study of only two variables at a time, is called as
A box contains 9 balls of which 4 are Golden, 3 are Silver and 2 are Steel. The balls are similar in shape and size. A ball is drawn at random from the box. The probability that it will not be a silver ball
The integral \(∫_{-1}^2|x^3-x|dx\) equals to
Consider the runs scored by two batsmen in their last ten matches as follows:
Batsman A: 30, 91, 0, 64, 42, 80, 30, 5, 117, 71 
Batsman B: 53, 46, 48, 50, 53, 53, 58, 60, 57, 52 
The Median of the runs scored by Batsman A and Batsman B respectively
The security guard of a hospital allows enter to 5 persons from a room for a checkup from a group of patients which has 10% Covid infected patients. The probability that there is at least one person Covid infected patients, is
The standard deviation for the following distribution:
Class30-4040-5050-6060-7070-8080-9090-100
Frequency371215832
The Mean deviation about the Mean for the following data 6,7,10,12,13,4,8,12.
Which of the following is the linear regression equation