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
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?
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 ... 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,
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 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
The distance of a point whose position vector is \(\overrightarrow{u}\) from the plane\(\overrightarrow{r}.\overrightarrow{n}=d\) is, 
The distance between two straight lines 2x + 3y = 5, 2x + 3y = 10 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
Consider the linear function from Z to Z: f= {(0, -5), (1, 0), (2, 5), (-1, -10)}. Then the function f(x) is
Simplify 0.9 [2.3-3.2(7.3-5.4-3.7)]-
If X is a square matrix of order NxN, then for any constant c, |cX| is equal 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
Which of the following is the linear regression equation
If X and Y are invertible matrices of same order then
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 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 integral \(∫_{-1}^2|x^3-x|dx\) equals to
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.
What is the value of X in the given proportion
14:10=X:15 ?
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