List of top Mathematics Questions

The proposition $p \Rightarrow \sim (p \wedge \sim q)$ is

The projection of the line segment joining the points (-1, 0, 3) and (2, 5, 1) on the line whose direction ratios are (6, 2, 3) is

The product of first nine terms of a GP is, in general, equal to which one of the following?

The probability that A speaks truth is $\frac{4}{5}$ , while the probability for B is $\frac{3}{4}$. The probability that they contradict each other when asked to speak on a fact is

The probability that a man hits a target is p = 0.1. He fires n = 100 times. The expected number n of times he will hit the target is :

The probability that a two digit number selected at random will be a multiple of ?

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