List of top Mathematics Questions

The number of vectors of unit length perpendicular to the vectors $\vec{a} = 2\hat{i} +\hat{j } +2\hat{k}$ and $\vec{b} = \hat{j} + \hat{k}$ is
The number of triangles whose vertices are at the vertices of an octagon but none of whose side happen to come from the sides of the octagon is
The number of the proper subset of {a, b, c} is:
The number of students who take both the subjects mathematics and chemistry is 30. This represents 10% of the enrolment in mathematics and 12% of the enrolment in chemistry. How many students take at least one of these two subjects ?
The number of six digit numbers, whose all digits are odd (i.e., $1 , 3 , 5 , 7 , 9 )$, is
The number of rectangles which we can form on a chess board is
The number of real roots of $(x - 1) (x - 2) (x - 3) (x - 4) = 3$ is
The number of real roots of the equation $|2-|1-|x|||=1$ 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 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 permutations of taking all letters and keeping the vowels of the words in the odd places 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 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 ordered pairs (x, y) satisfying $ {3^{x} . 5^{y} = 75}$ and $ {3^{y} . 5^{x} = 45}$ is
The number of natural numbers less than $1000$ in which no two digits are repeated 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 integral terms in the expansion$\left(\sqrt{3}+\sqrt[8]{5}\right)^{256}$
The number of divisors of $9600$ including $1$ and $9600$ are
The number of diagonals of a polygon of $30$ sides is
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 mirror image of any point on the directrix of $ y^2 = 4(x + 1)$ lies on
The mode of the following items is 0, 1, 6, 7, 2, 3, 7,6,6,2, 6,0,5,6,0