List of top Mathematics Questions

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 function F(x) = [x] at x = 0 is

Which of the following is the linear regression equation

The regression analysis confined to the study of only two variables at a time, is called as

Any square matrix A can be expressed as:
1. The product of a symmetric and a skew-symmetric matrices. 
2. The division of a symmetric matrix by a skew-symmetric matrix. 
3. The sum of a symmetric and a skew-symmetric matrices. 
4. The subtraction of a symmetric from a skew-symmetric matrix.

What is the value of X in the given proportion
14:10=X:15 ?

If X and Y are invertible matrices of same order then

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

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:

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 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 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 integral \(∫_{-1}^2|x^3-x|dx\) equals to

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,

The standard deviation for the following distribution:

Class	30-40	40-50	50-60	60-70	70-80	80-90	90-100
Frequency	3	7	12	15	8	3	2

The Mean deviation about the Mean for the following data 6,7,10,12,13,4,8,12.

If \(∫^{0.15}_{-0.15 }|100x^2-1|dx=\frac{k}{3000,}\)  then k is equal to____.

Two circles in the first quadrant of radii r₁ and r₂ touch the coordinate axes. Each of them cuts off an intercept of 2 units with the line x + y = 2. Then \(r^2_1+r_2^2– r_1r_2\) is equal to_____.

Let the digits a, b, c be in A.P. Nine-digit numbers are to be formed using each of these three digits thrice such that three consecutive digits are in A.P. at least once. How many such numbers can be formed?

Match List I with List II

	List I		List II
A	Spring constant	I	[T-1]
B	Angular speed	II	[MT-2]
C	Angular momentum	III	[ML2]
D	Moment of Inertia	IV	[ML2T-1]

Choose the correct answer from the options given below:

If the point \((α ,\frac{7√3}{3} )\) lies on the curve traced by the mid-points of the line segments of the lines x cosθ + y sinθ=7,θ∈( \(0,\frac{π}{2}\) ) between the coordinates axes, then α is equal to 

Let P \((\frac{2√3}{√7},\frac{6}{√7} )\), Q,R and S be four points on the ellipse 9x² + 4y² = 36. Let PQ and RS be mutually perpendicular and pass through the origin. If  \(\frac{1}{ ( P Q )^2}  +\frac{ 1}{ ( R S ) ^2} =\frac{ P }{q}\),  where p and q are coprime, then p + q is equal to