List of top Mathematics Questions

If $U= \{2, 3, 4, 5, 6, 7, 8, 9, 10, 11\}$, $A = \{2, 4, 7\}$, $B = \{3, 5, 7, 9, 11\}$ and $C = \{7, 8, 9, 10, 11\}$, compute $(A \cap U) \cap (B \cup C)$.

If two coins are tossed 5 times, the chance that there will be 5 heads and 5 tails is

If two events are independent, then

If two circular arcs of the same length subtend angles of $60^{\circ}$ and $80^{\circ}$ at their respective centres, then the ratio of their radii is

If $\theta =\cot^{-1}7+\cot ^{-1}8+\cot^{-1}18$, then $\cot\,\theta $ is equal to

If $\theta$ and $\phi$ are acute angles, $\sin \, \theta = \frac{1}{2} , \cos \, \phi = \frac{1}{3},$ then the value of $\theta + \phi $ lies in

If $\theta$ and $\phi$ are the roots of the equation $8x^2 + 22x + 5 = 0$ , then

If the value of $1 + 2 + 3 + ..........+n $ is $55,$ then the value of $1^3 + 2^3 + 3^3 + ..........+ n^3$ is

If the term of an infinite G.P. is equal to twice the sum of all the terms that follows it, then the common ratio is

If the three planes x = 5, 2x - 5ay + 3z - 2 = 0 and 3bx + y - 3z = 0 contain a common line, then (a, b) is equal to

If the sum of the roots of the equation $(m + 1) x^2 + 2mx + 3 = 0 $ is $1$, then the value of $m$ is

If the set $A$ contains $5$ elements and the set $B$ contains $6$ elements, then the number of one-one and onto mappings from $A$ to $B$ is

If the set A has p elements, B has q elements, then the number of elements in $A \times B$ is

If the sets A and B are as follows : A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, then

If the ratio of the sums of $m$ and $n$ terms of an $A.P$. is $m^2 : n^2$, then the ratio of its $m^{th}$ and $n^{th}$ terms is

If the roots of the equation $x^2 + 2ax + b = 0$ are real and distinct and they differ by at most $2m$, then $b$ lies in the interval

If the pth term of an A.P. is q and the qth term is p, then (p + q)th,term is

If the radius of a spherical balloon increases by 0.2%. Find the percentage increase in its volume

If the pth, qth and rth terms of an A.P. are in G.P., then the common ratio of the G.P. is

If the projections of the line segment AB on the yz-plane, zx-plane, xy-plane are $\sqrt{160} , \sqrt{153} , 5 $ respectively then the projection of AB on the z-axis is

If the non-zero numbers $x, y, z$ are in A.P. and $\tan^{-1}x, \tan^{-1}y, \tan^{-1}z$ are also in A.P., then

If the $p^{th}$, $q^{th}$ and $r^{th}$ terms of a G.P. are again in G.P., then which one of the following is correct?

If the normal to the curve $y^2 = 5x - 1$, at the point (1,- 2) is of the form ax - 5y + b = 0, then a and b are:

If the mean of the first n odd natural number be n itself, then n is

If the mean of the squares of first n natural numbers be 11, then n is equal to