List of top Mathematics Questions

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 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

If the median and the range of four numbers {x, y, 2x + y, x - y}, where 0 < y < x < 2y, are 10 and 28 respectively, then the mean of the numbers is :

If the mean of numbers $27, 31, 89, 107, 156$ is $82$, then the mean of $130, 126, 68, 50, 1$ is

If the mean of n observations $1^2, 2^2, 3^2....,n^2$ is $\frac{46n}{11}$ , then n is equal to

If the matrix AB = O, then

If the lines $\frac{x+1}{2} = \frac{y-1}{1} = \frac{z+1}{3} $ and $\frac{x+2}{2} = \frac{y-k}{3} =\frac{z}{4} $ are coplanar, then the value of k is :

If the mean deviation about the median of the numbers a, 2a,.......,50a is 50, then | a | equals