List of top Mathematics Questions

Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n are, respectively,
If the length of focal chord of y2 = 12x is 15 and if the distance of the focal chord from origin is p then 10p2 is equal to:
Explain how a square is. 
  1. a quadrilateral 
  2. a parallelogram 
  3. a rhombus 
  4. a rectangle
If $f(x)= 3\sqrt{(x-2)}+\sqrt{4-x }$ If minimum value = α Maximum value = β find $α2 + β2 $.

The lengths of 40 leaves of a plant are measured correct to the nearest millimetre, and the data obtained is represented in the following table :

Length (in mm)

Number of leaves

118 - 126

3

127 - 135 

5

136 - 144

9

145 - 153

12

154 - 162

5

163 - 171

4

172 - 180

2

Find the median length of the leaves. 
(Hint : The data needs to be converted to continuous classes for finding the median, since the formula assumes continuous classes. The classes then change to 117.5 - 126.5, 126.5 - 135.5, . . ., 171.5 - 180.5.)

Given that a, b are two integers such that the positive integer solutions of the system of inequalities $9x - a \ge 0$, and $8x - b < 0$ are $1, 2, 3.$ Find the number of the ordered pairs $(a, b).$

Solve \(sin^{-1}(1-x)-2sin^{-1}x=\frac {\pi}{2}\), then x is equal to

If t$_5$, t$_{10}$ and t$_{25}$ are 5$^{th}$, 10$^{th}$, and 25$^{th}$ terms of an A.P. respectively, then the value of $\begin{vmatrix}t_{5}&t_{10}&t_{25}\\ 5&10&25\\ 1&1&1\end{vmatrix}$ is equal to
Sunita travelled 15 km 268 m by bus, 7 km 7 m by car and 500 m on foot in order to reach her school. How far is her school from her residence?
If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?
Find : 
(i)\(\frac{7}{24}\)-\(\frac{17}{36}\)
(ii) \(\frac{5}{63}\)-(\(-\frac{6}{21}\))
(iii) -\(\frac{6}{13}\)-(-\(\frac{7}{15}\))
(iv) -\(\frac{3}{8}\)-\(\frac{7}{11}\)
(v)\(-\frac{21}{9}\)-6
The area (in sq. units) enclosed by y = 1, 2x + y = 2 and x + y = 2 is
Express as kg using decimals.
  1. 2 g
  2. 100 g
  3. 3750 g
  4. 5 kg 8 g
  5. 26 kg 50 g
The derivative of $(\log x)^x$ with respect to log x is
Tina had 20 m 5 cm long cloth. She cuts 4 m 50 cm length of cloth from this for making a curtain. How much cloth is left with her?
The set {x : x is an even prime number} can be written as
Kanchan dyes dresses. She had to dye 30 dresses. She has so far finished 20 dresses. What fraction of dresses has she finished?
The area bounded by the curve y = ln (x) and the lines y = 0, y = ln (3) and x = 0 is equal to :
∆ABC is isosceles with AB = AC = 7.5 cm and BC = 9 cm (Fig 9.17). The height AD from A to BC, is 6 cm. Find the area of ∆ABC. What will be the height from C to AB i.e., CE?
triangle ABC
If $t = \sin^{-1} 2^s$, then $\frac{ds}{dt}$ is equal to
If $\left(1+ax\right)^{n} =1+6x+\frac{27}{2}x^{2}+\cdots+a^{n}\, x^{n}$, then the values of $a$ and $n$ are respectively
Draw a rough sketch of a regular hexagon. Connecting any three of its vertices, draw a triangle. Identify the type of the triangle you have drawn.
If $|x - 3| < 2x + 9$ then $x$ lies in the interval

Find the inverse of each of the matrices(if it exists). \(\begin{bmatrix}1&2&3\\0&2&4\\0&0&5\end{bmatrix}\)

Suppose $f: R \rightarrow(0, \infty)$ be a differentiable function such that $5 f(x+y)=f(x) \cdot f(y), \forall x, y \in R$ If $f(3)=320$, then $\displaystyle\sum_{n=0}^5 f( n )$ is equal to :