List of top Mathematics Questions

The probability that a leap year will have 53 Sundays or 53 Mondays is
The probability that a man A will be alive for 20 more years is $\frac{3}{5}$ and the probability that his wife will be alive for 20 more years is $\frac{2}{3} $, The probability that only one will be alive at the end of 20 years is
The probability of occurrence of an event A is 0.3 and that of occurrence of an event B is 0.4. If A and B are mutually exclusive, then the probability that neither A occurs nor B occurs is:
The probability of having a king and a queen when the two cards are drawn at random from a pack of 52 cards is:
The probability of drawing an honour card from a well shuffled pack of 52 playing cards is (K,Q,J,A are honour cards)
The probability of getting tail, when an unbiased coin is tossed is
The probability of guessing correctly at least $8$ out of $10$ answers on a true-false type examination is
The probability of drawing a card which is at least a spade or a king from a well shuffled pack of cards is
The probability of an event lies in
The principal value of $\sin^{-1} \left(\sin \frac{2\pi}{3}\right) $ is:
The principal value of $\sin^{-1} \left( - \frac{\sqrt{3}}{2} \right)$ is :
The points $ 0, 2 + 3i, i, - 2 - 2i $ in the argand plane are the vertices of a
The points $A(3,2,0)$, $B(5,3,2)$ and $C(0,2,4)$ are the vertices of a triangle. Find the distance of the point $A$ from the point in which the bisector of $??AC$ meets $[BC]$.
The point of intersection of the lines $\frac{x-5}{3}=\frac{y-7}{-1}=\frac{z+2}{1}$; $\frac{x+3}{-36}=\frac{y-3}{2}=\frac{z-6}{4}$ is
The point $(4, 1)$ undergoes the following two successive transformations : (i) Reflection about the line $y = x$. (ii) Translation through a distance of $2$ units along the positive $x$-axis. Then the final coordinates of the point are
The point (4, 1) undergoes the following three transformations successively I. Reflection about the line y = x. II. Transformation through a distance 2 units along the positive direction of X-axis. III. Rotation through an angle $\frac{\pi}{4}$ about the origin in the counter clockwise direction. Then, the final position of the point is given by the coordinates
The point $(-2, -3, -4)$ lies in the
The point $(2t^2 + 2t + 4, t^2 + t + 1)$ lies on the line x + 2y = 1 for
The plane XOZ divides the join of $(1, -1, 5) $ and $(2, 3, 4)$ in the ratio $\lambda :1$ then $\lambda$ is
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