List of top Mathematics Questions

Direction of zero vector

$i^{243}$ is equal to

State $T$ for true and $F$ for false. In a class of $140$ students, $60$ play football, $74$ play hockey and $75$ play cricket, $30$ play hockey and cricket, $18$ play football and cricket, $42$ play football and hockey and $8$ play all the three games. Then (i) The number of students who do not play any of these three games is $42$. (ii) The number of students who play only cricket is $35$. (iii) The number of students who play football and hockey, but not cricket is $34$.

There are 600 student in a school. If 400 of them can speak Telugu, 300 can speak Hindi, then the number of students who can speak both Telugu and Hindi is:

The number of terms common between the sum $1 + 2 + 4 + 8 + .....$to $100$ terms and $1 + 4 + 7 + 10 + .....$to $100$ terms is

The product of three numbers in an $A.P$. is $224$, and the largest number is $7$ times the smallest. Find the numbers.

The sum of all $4$ digit numbers that can be formed by using the digits $2, 4, 6, 8$ (repetition of digits not allowed) is

The sum of all the five digit numbers formed with the digits $1, 2, 3, 4, 5$ taken all at a time, is

The sum of $5$ digit numbers in which only odd digits occur without any repetition is

The sum of all the numbers formed by using the digits 7, 8, 9 is

The roots $\alpha$ and $\beta$ of the quadratic equation $px^2 + qx + r = 0$ are real and opposite signs. The roots of $\alpha(x - \beta^2)+ \beta (x - \alpha)^2 = 0$ are

The roots of the equation $(3 -x)^4 + (2-x)^4$ = $(5 - 2x)^4$ are

The equations $x^2 - ax + b = 0$ and $x^2 + bx - a = 0$ have a common root, then

Let $f(x)=[x^3-3],[x]=$ G.I.F. Then the no. of points in the interval (1,2) where function is discontinuous is

The domain and range of the function $f=\left\{\left(\frac{1}{1-x^{2}}\right) : x \in R, x \ne \pm 1\right\}$ are respectively

The domain of $f\left(x\right) = \frac{1}{\sqrt{2x -1}} - \sqrt{1-x^{2}} $ is :

The domain of $f(x) = \sin^{-1} \left( \frac{2x -3}{5} \right)$

The domain of $f(x) = \frac{|x|}{x}$ is

The domain of the function $f\left(x\right)=\frac{1+2\left(x+4\right)^{-0.5}}{2-\left(x+4\right)^{0.5}}+5\left(x+4\right)^{0.5}$ is

The domain of the function $f \left(x\right)=\frac{1}{\sqrt{\left\{sin\,x\right\}+\left\{sin\left(\pi+x\right)\right\}}}$ where $\{\cdot \}$ denotes fractional part, is

The domain of the function $f(x) = {^{24- x}C_{3x-1}} + {^{40 -6x}C_{8x-10}} $ is ,

The domain of the function $f(x) =\sqrt{\log_{16} \, x^2}$ is

The domain of the function $f (x) = \log_e(x - [x]) $ is :

The objective function in the above question is