List of top Mathematics Questions

One half percent of the population has a particular disease. A test is developed for the disease. The test gives a false positive $3\%$ of the time and a false negative $2\%$ of the time. What is the probability that Amit (a random person) tests positive?

One die and a coin (both unbiased) are tossed simultaneously. The probability of getting 5 on the top of the die and tail on the coin is

Of the number of three athletic teams in a school, $21$ are in the basketball team, $26$ in hockey team and $29$ in the football team. $14$ play hockey and basketball, $15$ play hockey and football, $12$ play football and basketball and $8$ play all the games. The total number of members is

Number of solutions of the equation $tanx + secx = 2cosx$ lying in the interval $[0,2\pi]$ is

Number greater than 1000 but less than 4000 is formed using the digits 0, 1, 2, 3, 4 (repetition allowed). Their number is

Normal at $(1, 1)$ on the curve $2y=9-x^2$ is

NOR gate is the series combination of

Negation of the conditional : " If it rains, I shall go to school" is.

Negation of "Paris is in France and London is in England" is.

$n(A) 3,n(B) = 2$ then the number of surjections from $A$ to $B$

$^{n}C_{r} + 2( {^{n}C_{r-1} }) + {^{n}C_{r-2}} $ is equal to:

Moment of couple is called

Maximum slope of the curve $y = -x^3 + 3x^2 + 9x - 27$ is

Locus of the point of intersection of perpendicular tangents to the circle $x^2 + y^2 = 16 $ is

Locus of centroid of the triangle whose vertices are $(a \cos \, t, a \sin \, t),(b \sin \, t,- b \cos \, t)$ and (1, 0), where t is a parameter, is

$ \lim_ {{x \to 0}} \frac { x.2^x-x} {1-cosx} $ is equal to

$ \lim_ {{x \to 0}} \frac {log\, cosx} {x} $ Is equal to

Let $z_1$ and $z_2$ be two complex numbers such that $z_1\neq z_2$ and $|z_1|\neq| z_2|$ . If $z_1$ has a positive real part and $z_2$ has negative imaginary part, then $\frac{z_1+z_2}{z_1+z_2}$ may be

Let $x$ be the arithmetic mean and $y, z$ be the two geometric means between any two positive numbers. The value of $\frac{y^{3}+ z^{3}}{xyz}$ is

Let y be an implicit function of x defined by $x^{2x} - 2x^x \, \cot \, y - 1= 0$. Then y'(1) equals

Let $y = \sin^{-1} \left(\frac{2x}{1+x^{2}}\right), 0 < x < 1$ and $ 0 < y < \frac{\pi}{2}, $ then $\frac{dy}{dx} $ is equal to

Let X be a matrix of order $2 \times n$ and Z be a matrix of order $2 \times p$. If n = p, then the order of the matrix $7X - 5Z$ is

Let $\overrightarrow{u},\overrightarrow{v},\overrightarrow{w} $ be such that $|\overrightarrow{u}|=1,|\overrightarrow{v}|=2,|\overrightarrow{w} |=3 $. If the projection $\overrightarrow{v} $ along $\overrightarrow{u} $ is equal to that of $\overrightarrow{w} $ along $\overrightarrow{u} $ and $\overrightarrow{v} $ and $\overrightarrow{w} $ are $\bot$ to each other , then $|\overrightarrow{u} -\overrightarrow{v} +\overrightarrow{w} |$ equals