List of top Mathematics Questions

If \(\bar{x}_1, \bar{x}_2, \bar{x}_3, \dots, \bar{x}_n\) are the means of n groups with \(n_1, n_2, n_3, \dots, n_n\) numbers of observations respectively. Then the mean \(\bar{x}\) of all the groups taken together is given by :
The mean of 5 observations \(x, x+2, x+4, x+6\) and \(x+8\), is 11, then the value of x is :
A Bag contains 5 white balls and 7 red balls. A ball is drawn at random from the bag. The probability that it is either a white ball or red ball is :
The Probability of getting a number greater than 2 with a throw of fair dice is :
If the point P lies in between M \& N and C is the mid point of MP then which of the following option is correct :

ABCD is a quadrilateral in which AD = BC and \(\angle \text{DAB} = \angle \text{CBA}\). If \(\angle \text{CAB} = 30^\circ\), then the measure of \(\angle \text{AOB}\) is :

The side BC of \(\triangle \text{ABC}\) is produced to point D. The bisectors of \(\angle \text{ABC}\) and \(\angle \text{ACD}\) meet at a point E. If \(\angle \text{BAC} = 68^\circ\), then the measure of \(\angle \text{BEC}\) is :

If \(49x^2 - b = (7x + \frac{1}{2})(7x - \frac{1}{2})\), then the value of b is :
Which of the following statement is true for a parallelogram :
Diagonal of a Cube is \(\sqrt{6}\) cm., then its lateral surface area is :
The value of \(\frac{\sqrt{32} + \sqrt{48}}{\sqrt{8} + \sqrt{12}}\) is equal to :
The total surface area of a cone, whose radius is \(\frac{r}{2}\) and slant height is \(2l\), will be :
Which of the following equations represents a line passing through the origin :
Co-ordinates of the point at which the line \(2x - 7y = 14\) intersects the y-axis are :
Each of equal sides of an Isosceles triangle is 2 cm greater than its height. If the base of the triangle is 12 cm, then its area is :
The construction of a triangle \(\triangle \text{ABC}\) given that \(\text{BC} = 6 \text{ cm}\), \(\angle \text{B} = 45^\circ\) is not possible, when the difference of AB and AC is equal to :
If \(\bar{x}\) represent the mean of n observations \(x_1, x_2, x_3, \dots, x_n\), then the value of \(\sum_{i=1}^{n} (x_i - \bar{x})\) is :
A coin is tossed A times and it showed tail B times. The probability of getting one head is :

In the adjoining figure, O is the centre of the circle. If \(\angle \text{AOB} = 90^\circ\) and \(\angle \text{ABC} = 30^\circ\), then \(\angle \text{CAO}\) is equal to :

The vertices of the hyperbola are at (-5,-3) and (-5,-1) and the extremities of the conjugate axis are at (-7,-2) and (-3,-2), then the equation of the hyperbola is
Here, $ [x] $ denotes the greatest integer less than or equal to $ x $ . Given that $ f(x) = [x] + x $ . The value obtained when this function is integrated with respect to $ x $ with lower limit as $ \frac{3}{2} $ and upper limit as $ \frac{9}{2} $ , is
The integral $\int\limits^{\frac{3\, \pi}{4}}_{\frac{\pi}{4}} \frac{dx}{ 1 + \cos \, x}$ is equal to :
$\displaystyle\lim_{x \to \frac{\pi}{2}} \frac{\cot x - \cos x}{\left(\pi - 2x\right)^{3}} $ equals :
The value of $(^{21}C_{1} - ^{10}C_{1}) + (^{21}C_{2} - ^{10}C_{2}) + (^{21}C_{3} - ^{10}C_{3}) +(^{21}C_{4} - ^{10}C_{4}) +....+(^{21}C_{10} - ^{10}C_{10})$ is :
Let $S_{n} = \frac{1}{1^{3}} + \frac{1+2}{1^{3} + 2^{3}} + \frac{1+2+3}{1^{3} + 2^{3} + 3^{3}} + ...... + \frac{1+2+...+n}{1^{3} + 2^{3} +.... +n^{3}} . $ . If $100 \, S_n = n , $ then $n$ is equal to :