List of top Mathematics Questions

IQ of a person is given by the formula $IQ=\frac{MA}{CA}\times100$ where, MA is mental age and CA is chronological age. If $80 \le IQ \le 140$ for a group of 12 years children, then the range of their mental age is

Inverse of a diagonal matrix (if it exists) is a

$\int _{\pi/3}^{\pi/3} \frac {x \sin x}{\cos^2x} dx $ is equal to

$\int sin^{-1} x dx$ is equal to

$ \int tan^{-1} \sqrt{x}\,dx $ is equal to

$\int\limits_{-\pi/4}^{\pi/4}\frac{e^x\,\sec^2x\,dx}{e^{2x}-1}$ is equal to

$\int_{\log\frac{1} {2}} ^{\log2} \, \sin (\frac {e^x-1} {e^x+1})dx$ is equal to

$ \int \limits_1^3|(2-x) \log x|dx $ is equal to

$ \int\limits_{2-a}^{2+a} f\left(x\right) dx $ is equal to (where $f\left(2 - a\right)=f\left(2 + a\right) \forall a\in R$)

$\int\limits_{0}^{\pi}\pi f(\sin\,x)dx$ is equal to

$ \int\limits_{0} ^{\pi/2}\frac{\cos\,2x\,dx}{(\sin\,x+\cos\,x)^2}$ is equal to

$\int\frac{dx}{1-cos x -sin x} $ is equal to

$\int\limits _{0}^{1} \frac {8 \log (1+x)}{1+x^2}dx$ is equal to

$\int\frac {cos \, 5x + cos \, 4x}{1-2cos3x}$dx is equal to $\frac {sin2x} {2}+sin\,x+c$

Inequations $3x - y \geq 3 $ and $4x - y \geq 4 $

In world cup of cricket there are $12$ teams ,divided equally in two groups. Teams of each group will play a match against each other. From each group $3$ top teams will qualify for the next round. In this round each team will play against others once. Four top teams of this round will qualify for the semifinal round, where each team will play against the others once. Two top teams of this round will go to final round, where they will play the best of three matches. The minimum number of matches in the World Cup will be

In trapezoidal rule, the curve $y = f ( x )$ between two successive ordinates is approximated as

In throwing of two dice, what is the number of exhaustive events ?

In the right angled triangle ABC, $\angle B= 90?$, A= (2, 5, 1), B = (1, 4, -3) and C = (-2, 7, -3). If P, S, R are the orthocentre, circumcentre, circumradius of the triangle ABC then $R + P_y = $

In the above question the iso-profit line is

In how many ways can $5$ children be arranged in a line such that (i) two particular children are always together (ii) two particular children are never together?

In how many ways can a football team of $11$ players be selected from $16$ players? How many of them will (i) include $2$ particular players? (ii) exclude $2$ particular players?

In how many ways a committee consisting of $3$ men and $2$ women, can be chosen from $7$ men and $5$ women?

In four schools $B_1, B_2, B_3, B_4$ the percentage of girls students is $12, 20, 13, 17$ respectively. From a school selected at random, one student is picked up at random and it is found that the student is a girl. The probability that the school selected is $B_2$, is

In computing a measure of the central tendency for any set of 51 numbers, which one of the following measures is well-defined but uses only very few of the numbers of the set?