List of top Mathematics Questions

The pitch of a screw gauge is $0.5\, mm$ and there are $100$ divisions on it circular scale. The instrument reads $+2$ divisions when nothing is put in between its jaws. In measuring the diameter of a wire, there are $8$ divisions on the main scale and $83^{rd}$ division coincides with the reference line. Then the diameter of the wire is
The perpendicular bisector of the line segment joining P (1, 4) and Q(k, 3) has y-intercept -4. Then a possible value of k is
The period of the function $\sin\left(\frac{2x}{3}\right)+\sin\left(\frac{3x}{2}\right) $ is
The period of $\sin^2 \theta$ is
The perimeter of the triangle with vertices at $ (1, 0, 0), (0, 1, 0) $ and $ (0 , 0 , 1)$ is :
The parabola $y^{2} = 2x$ divides the circle $x^{2 }+ y^{2} = 8$ in two parts. Then, the ratio of the areas of these parts is
The parametric form of equation of the circle $x^2 + y^2 - 6x + 2y - 28 = 0$ is
The owner of a milk store finds that he can sell $980\,L$ of milk each week at ?
The order and degree of $\left(1+ \frac{dy}{dx}\right)^{2} = 5\left(\frac{dy}{dx}\right)^{2} $ are
The observation which occur most frequently is known as :
The number of ways of distributing $50$ identical things among $8$ persons in such a way that three of them get $8$ things each, two of them get $7$ things each, and remaining $3$ get $4$ things each, is equal to
The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is
The number of ways in which the six faces of a cube be painted with six different colours is
The number of ways in which $8$ different flowers can be strung to form a garland so that $4$ particular flowers are never separated is
The number of ways in which a mixed doubles game in tennis can be arranged from 5 married couples, if no husband and wife play in the same game, is
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 ways in which 4 men and 3 ladies sit at a round table so that no two ladies sit together is
The number of the proper subset of {a, b, c} is:
The number of terms in the expansion of$ [(a + 4b)^3 (a - 4b)^3]^2$ are
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 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 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 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