List of top Mathematics Questions

The coefficient of x7 in (1-x-x2+x3)6
\(f(x)=\frac{2x^2-3x+8}{2x^2+3x+8}\), Then sum of maximum and minimum values of f(x) is:
Find \(\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} \frac{\sin^2x}{1+2^x} \;dx\)
Three urn A, B, C, A has 7 red and 5 black balls, B has 5 red and 7 black balls, C has 6 red and 6 black balls. One urn is selected and black ball is taken out. Find probability that the selected urn is A.
Find the number of rational numbers in the expansion of \((2^{\frac{1}{5}} + 5^{\frac{1}{3}})^{15}\).
If \(f(x) =   \begin{cases}  x-2       & \quad 0\leq x\leq2\\     -2  & \quad -2\leq x\leq0   \end{cases}\) and \(h(x) = f(|x|) + |f(x)|, \int\limits^{k}_{0} h(x) dx\) is equal to _____.(k>0)
Find \( \frac {dy}{dx}:\) \(sin^2y+cos\ xy=\pi\)
If the third term of a G.P. is 3, then the product of its first 5 terms is
$sin\left\{2\,cos^{-1}\left(- \frac{3}{5}\right)\right\}$ is equal to
The value of $\tan^2(\sec^{-1}2)+\cot^2(cosec^{-1}3)$ is

Solve the following riddle:
I am a number, Tell my identity!
Take me seven times over,  And add a fifty!
To reach a triple century,  You still need forty! 

If $f(a) = a^2 , \phi (a) = b^2 $ and $f'(a) = 3 \phi '(a)$ then $Lt_{x \to a} \frac{\sqrt{ f(x)} - a}{ \sqrt{\phi (x)} - b}$ is
Solution set of the inequality $\frac{1}{2^{x}-1} > \frac{1}{1-2^{x-1}}$ is
A student is to answer $10$ out of $13$ questions in an examination such that the he must choose at least $4$ from the first five questions. The number of choices available to him is :

Find the principal value of cot-1\(\sqrt3\)

Find the degree measure corresponding to $\frac{\pi}{32} rad$.
The value of $tan1^{\circ}\, tan2^{\circ}\, tan3^{\circ} \ldots \, tan89^{\circ}$ is
Find the angle between two vectors (a→=2i^+j^−3k^) and (b→=3i^−2j^−k^).
Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is μ. The standard deviation for this distribution is given by ______.
Find the area bounded between the curve y=x2 and y=x3.
Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign ‘<’, ‘=’, ‘>’ between the fractions:
Write shaded portion as fraction
Simplify the expressions and find the value if x is equal to 2
(i) x + 7 + 4 (x – 5) (ii) 3 (x + 2) + 5x – 7 (iii) 6x + 5 (x – 2) (iv) 4(2x – 1) + 3x + 11
Express as km using decimals.
(a) 8 m
(b) 88 m
(c) 8888 m
(d) 70 km 5 m
If $\sec \, \theta - \tan \, \theta = \frac{1}{2}, $ then $\theta$ lies in

A die is thrown 6 times. If 'getting an odd number' is a success, what is the probability of:
 (i) 5 successes ?
 (ii) at least 5 successes ?
 (iii) at most 5 successes ?