List of top Mathematics Questions

The angle between two hands of a clock at quarter past one is

Which one of the following observations is correct for the features of logarithm function to any base \(b>1\)?

If $n\left(A\right)=43, n\left(B\right)=51\quad and \quad n\left(A\cup B\right)=75, then\quad n\left(A-B\right)\cup\left(B-A\right)$ is equal to

\(I(x)=\int\frac{6dx}{sin^2x(1+\cot x)^2}\)and I(0) then I (\(\frac{\pi}{2}\)) is equal to

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 $.

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 $(a, b).$

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?

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.