List of top Mathematics Questions

Find area bounded by $y^2 ≤ 2x$ and $y ≥ 4x – 1$

For the data:

Xi	1	3	5	7	9
fi	4	24	28	𝞪	8

If the mean of data is 5 and mean deviation about mean is M and variance is 𝝈² , then 3𝞪/M⁺𝝈² is?

Give three examples of shapes with no line of symmetry.

Three different views of a dice are shown in the figure below.
\includegraphics[width=0.5\linewidth]{91.png}
The piece of paper that can be folded to make this dice is:

Person 1 and Person 2 invest in three mutual funds A, B, and C. The amounts they invest in each of these mutual funds are given in the table.
\includegraphics[width=0.5\linewidth]{8a.png}
At the end of one year, the total amount that Person 1 gets is ₹500 more than Person 2. The annual rate of return for the mutual funds B and C is 15\% each. What is the annual rate of return for the mutual fund A?

Factorise 

1.  \(4p^ 2 - 9q ^2\) 
2.  \(63a^ 2 - 112b ^2\) 
3.  \(49x^ 2 - 36\) 
4.  \(16x^ 5 - 144x^ 3\)
5.  \((l + m)^ 2 - (l - m) ^2\) 
6.  \(9x^ 2 y^ 2 - 16 \)
7.  \((x^ 2 - 2xy + y^ 2 ) - z^ 2\) 
8.  \(25a ^2 - 4b^ 2 + 28bc - 49c ^2\)

Convert each part of the ratio to percentage: 

1.  3:1 
2.  2:3:5 
3.  1:4 
4.  1:2:5

If A is n $\times$ n matrix, then adj (adj A) =

The interval in which \(y=x^2e^{-x}\) is increasing is

Let f: R→R be defined as f(x) = 3x. Choose the correct answer.

When a die is thrown, list the outcomes of an event of getting 

1. (a) a prime number (b) not a prime number. 
2. (a) a number greater than 5 (b) a number not greater than 5.

In a city, 30% are females, 40% are males and remaining are children. What per cent are children?

The value of \( \sin(\cot^{-1}(x)) \) is:

If \( y = 5\cos x - 3\sin x \), then \( \frac{d^2y}{dx^2} + y \) equals:

The integral of \( \sec^{2/3}x \csc^{4/3}x \, dx \) from \( \pi/6 \) to \( \pi/3 \) is equal to:

A function \( f : \mathbb{R}_+ \to \mathbb{R} \) (where \( \mathbb{R}_+ \) is the set of all non-negative real numbers) defined by \( f(x) = 4x + 3 \) is:

If \( P(A | B) = P(A' | B) \), then which of the following statements is true?

Write seven consecutive composite numbers less than 100 so that there is no prime number between them.

All the letters of the word PUBLIC are written in all possible orders and these words are written as in a dictionary with serial numbers. Then the serial number of the word PUBLIC is: \\ \\

Let line L pass through the point \( (0, 1, 2) \), intersect the line \( {2 = {3 = {4 \), and be parallel to the plane \( 2x + y - 3z = 4 \). Find the distance of the point \( P(1, -9, 2) \) from line L. \\

Let the vectors \( , , \) represent three coterminous edges of a parallelepiped of volume \( V \). Then the volume of the parallelepiped, whose coterminous edges are represented by \( , + \) and \( + 2 + 3 \) is equal to: \\ \\