List of top Mathematics Questions

The number of rectangles which we can form on a chess board is
The number of six digit numbers, whose all digits are odd (i.e., $1 , 3 , 5 , 7 , 9 )$, is
The number of positive integral solutions of $ \frac {x^2 (3x-4)^3 (x-2)^4} {(x-5)^5 (2x-7)^6 }\leq 0$ is .
The number of points in $[-2\pi,2\pi]$ , the tangents at which to the curve $y = \sin x$ are perpendicular to the $y-axis$ is
The number of pairs of consecutive odd natural numbers both of which are larger than 10, such that their sum is less than 40, is
The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines:
The number of permutations of taking all letters and keeping the vowels of the words in the odd places is
The number of ordered pairs (x, y) satisfying $ {3^{x} . 5^{y} = 75}$ and $ {3^{y} . 5^{x} = 45}$ is
The number of numbers consisting of four different digits that can be formed with the digits 0, 1, 2, 3 is :
The number of natural numbers less than $1000$ in which no two digits are repeated is
The number of integral terms in the expansion$\left(\sqrt{3}+\sqrt[8]{5}\right)^{256}$
The number of diagonals of a polygon of $30$ sides is
The number of divisors of $9600$ including $1$ and $9600$ are
The number of arbitrary constants in the general solution of a differential equation of fourth order are.
The number of arbitrary constants in the particular solution of a differential equation of third order are.
The normal chord at a point 't' on the parabola $ y^2 = 4ax$ subtends a right angle at the vertex. Then $t^2$ =
The negation of the compound proposition $p \vee (\sim p \vee q)$ is.
The mode of the following items is 0, 1, 6, 7, 2, 3, 7,6,6,2, 6,0,5,6,0
The mirror image of any point on the directrix of $ y^2 = 4(x + 1)$ lies on
The minimum value of sin x - cos x is
The minimum value of $3cosx + 4sinx + 8$ is
The minimum value of $\sec^2 \, \theta + cosec^2 \, \theta$ is
The median from the table Value ? ? ? ? ? ? 7 ? 8? 9? 10 ? 11 ? 12 ? 13 frequency ? ? 2 ? 1? 5 ? 4 ? ? 6 ? ? 1 ? ? ?3 is
The mean of two samples of size 200 and 300 were found to be 25, 10 respectively. Their standard deviations were 3 and 4 respectively. The variance of combined sample of size 500 is
The matrix $A =\begin{bmatrix}0&1\\ 1&0\end{bmatrix}$ is a