List of top Mathematics Questions

From the top of a cliff 25 metres high, the angle of elevation of the top of a tower found to be equal to the angle of depression of the foot of the tower, then the height of the tower is.

From the origin, chords are drawn to the circle $(x - 1)^2 + y^2 = 1$, then equation of locus of middle points of these chords, is -

From a group of $5$ boys and $3$ girls three persons are chosen at random; Find the probability that there are more girls than boys

From a well shuffled pack of 52 playing cards, four are drawn at random. The probability that all are spades, but one is a king is

From a box containing 10 cards numbered 1 to 10, four cards are drawn together. The probability that their sum is even is

From $50$ students taking examinations in Mathematics, Physics and Chemistry, $37$ passed Mathematics, $24$ Physics and $43$ Chemistry. At most $19$ passed Mathematics and Physics, at most $29$ passed Mathematics and Chemistry and at most $20$ passed Physics and Chemistry. The largest possible number that could have passed all three examinations is

Four students of class X, five students of class XI and six students of class XII sit in a row. The number of ways, they can sit in a row so that students belonging to the same class are together is :

Four dice are rolled. The number of possible out comes in which at least one dice shows $2$ is

Four cards are drawn at random from a well shuffled pack of 52 playing cards. The probability that all the 4 are hearts, but one is a queen is

For what and only what value of $\alpha$ lying between 0 and $\pi$ is the inequality. $\sin \alpha . \cos^3 \alpha > \sin^3\alpha \cos \alpha$ valid ?

For two data sets, each of size 5, the variances are given to be 4 and 5 and the corresponding means are given to be 2 and 4, respectively. The variance of the combined data set is

For the parabola $y^2 = 4ax, $ then ratio of the subtangent to the abscissa is

For the differential equation $x \frac{dy}{dx}+2y=xy \frac{dy}{dx}$,

For real number x and y define a relation R, xRy if and only if $x-y + \sqrt{2}$ is an irrational number. Then the relation R is

For any square matrix $A, AA^T$ is a

For a sequence $\{a_n\},a_1=2 $ and $\frac{n+1}{a_n}=\frac{1}{3}$. Then $\displaystyle\sum_{r=1}^{20}a_r$ is

For a symmetrical distribution $Q_1 = 20$ and $Q_3 = 40$; the median is equal to

For a non-zero vector $\overrightarrow{a}$, which of the following statement is true

For a differentiable function $f$, the value of $Lt_{h\to0} \frac{\left[f\left(x+h\right)\right]^{2} - \left[f\left(x\right)\right]^{2}}{2h}$ is equal to

For a frequency distribution 7th decile is computed by the formula

For a given distribution of marks mean is 35-16 and its standard deviation is 19-76. The co efficient of variation is

For $a > 0 , t \in\left(0, \frac{\pi}{2}\right) ,$ let $ x = \sqrt{a^{\sin^{-1}t}} $ and $y = \sqrt{a^{\cos^{-1}t}},$ Then $ 1+ \left(\frac{dy}{dx}\right)^{2} $ equals :

Following are the marks obtained by $9$ students in a mathematics te st: $50, 69, 20, 33, 53, 39, 40, 65, 59$ Mean deviation from the median is

Following are the marks obtained, out of $100$, by two students Ravi and Hashina in $10$ tests. Who is more intelligent and who is more consistent?

Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is