List of top Mathematics Questions

Two finite sets have m and n elements respectively. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are
If A.M. and G.M. of roots of a quadratic equation are 5 and 4 respectively, then the quadratic equation is
The enrolment in a school during six consecutive years was as follows:
1555, 1670, 1750, 2013, 2540, 2820
Find the mean enrolment of the school for this period.
The maximum volume of the right circular cone with slant height 6 units is
Verify the following:
(a) 18 × [ 7 + (–3)] = [18 × 7] + [18 × (–3)]
(b) (–21) × [(– 4) + (– 6)] = [(–21) × (– 4)] + [(–21) × (– 6)]
Let $(gof)(x) = sin x$ and $(fog)(x) = (sin \sqrt x)^2,$ Then

If area of triangle is 35 square units with vertices(2,−6), (5,4),and (k,4).Then k is

Standard deviation of the numbers 31, 32, 33, ... , 46, 47 is
Soln of \(sinx + sin 5x= sin3x\) in \((0,\frac{x}{2})\) are?

\( f(x) = 2x - 3 \quad \text{and} \quad g(x) = x^3 + 5 \), then find \( [f \circ g]^{-1}(-9) = ? \)

Find the approximate value of (25.2)1/2.

Find the differentiation of \(cot^{-1}\frac{3+4tan\,x}{4-3tan\,x}\)
If \(A=\begin{vmatrix}x&1\\1&x\end{vmatrix}\) and \(B=\begin{vmatrix}x &1&1\\1& x&1 \\1&1&x \end{vmatrix}\),then \(\frac{dB}{dx}\) is
Let f : R ⇢ R be defined by $f (x) = x^2 +1$. Then the pre images of 17 and –3 respectively are
If $S_n$ stands for sum to n-terms of a G.P. with ‘a’ as the first term and ‘r’ as the common ratio then $S_n : S_{2n}$ is
If in two circles, arcs of the same length subtend angles 30° and 78° at the centre, then the ratio of their radii is

Five letters are placed at random in five addressed envelopes. The probability that all the letters are not dispatched in the respective right envelopes is

If adj[ \(\begin{bmatrix} 1 & 0 & 2\\ -1 & 1 & -2\\ 0 & 2 & 1 \end{bmatrix}\)=  \(\begin{bmatrix} 5 & m & -2\\ 1 & 1 & 0\\ -2 & -2 & n \end{bmatrix}\) then m+n =

The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, find the height of the building.

$ \begin{vmatrix} x + 1 & x - 1 \\ x^2 + x + 1 & x^2 - x + 1 \end{vmatrix} $ is equal to:

Let Q be the foot of perpendicular from the origin to the plane $4x-3y+z+13=0$ and R be a point ${-1,1,6}$ on the plane. Then length $QR$ is

In the expansion of $\frac{C_1}{C_0} + 2\frac{C_2}{C_1} +3\frac{C_3}{C_2}+…………… n \frac{C_{n}}{C_{n-1}}$ is equal to
The real value of ‘α’ for which $\frac{1 -isinα}{1+ 2isinα}$ is purely real is
How many tiles whose length and breadth are 12 cm and 5 cm respectively will be needed to fit in a rectangular region whose length and breadth are respectively: 
(a) 100 cm and 144 cm 
(b) 70 cm and 36 cm.
If A = $\begin{bmatrix}1 & 1 \\1 & 1 \end{bmatrix}$ then $A^{10}$ is equal to