List of top Mathematics Questions

The number of words that can be formed by using all the letters of the word 'MISSISSIPPI' is

In how many ways can the letters of the word 'PEANUT' be arranged?

The number of rectangles in a 6 $\times$ 6 grid is ______.

There are 4 horizontal and 4 vertical lines on a board. What is the maximum number of rectangles that can be formed?

From a group of 10 persons, in how many ways can a selection of 4 persons to be made such that a particular person is always included?

There are twelve friends. On the eve of Diwali, they exchanged greeting cards among themselves. How many cards did they exchange altogether?

In Super 30 movie, Anand sir asks every of 30 students to do handshake among themselves, find total number of handshakes.

There are 23 buses available between Dinu's house and his school. How many ways are possible for Dinu to go from his house to school and return using different buses?

Babita has to go to a party. She decides to wear either a Saree or a dress. If Babita has 5 Sarees and 6 dresses, in how many ways can she choose her outfit?

Ram has 4 formal shirts and 5 formal trousers, in how many ways can he choose his outfit for the interview?

If the HCF of 210 and 55 is expressed as \(210 \times 5 + 55m\), then find the value of \(m\).

Find the direction cosines of a line that makes equal angles with the coordinate axes.

In a Binomial distribution with \(n=10\) and \(p=0.4\), find the variance.

Solve the differential equation \( \frac{dy}{dx} = \frac{1+y^2}{1+x^2} \) given \(y(0)=1\).

The equation \(x^2 - Ky^2 - 4x + 6y - 5 = 0\) represents a pair of straight lines. Find the point of intersection.

(3, −4) and (4, −a) lie on line. Find a?

The locus of the mid-point of a chord of the circle \( x^2 + y^2 = 4 \), which subtends a right angle at the origin is

In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.

If \(y = f\left(\frac{3 + 2x}{3 - 2x}\right)\), where \(f(x) = \tan(\log x)\), and \(\frac{dy}{dx} = \frac{A}{B + Cx^2} \cdot \sec^2\left(\log \frac{3 + 2x}{3 - 2x}\right)\), then find \(A, B, C\).

A conical cavity of maximum volume is carved out from a wooden solid hemisphere of radius 10 cm. Curved surface area of the cavity carved out is (use \(\pi = 3.14\))

Consider the following logical statements:
R: If \(p \rightarrow q\) is false, then \(p \vee q\) is false.
S: If \(p \leftrightarrow q\) is false, then \(p \vee q\) is false.
Evaluate the truth values of R and S.

What is the probability of an impossible event?

Solve the equation: \[ \frac{(3x - 4)^2}{9} - \frac{(4x - 3)^2}{8} = 1 \quad \text{(length of the latus rectum)} \]