List of top Mathematics Questions

Two dice are thrown simultaneously. The probability of getting even numbers on both the dice is
Two dice are thrown together. The probability of getting the sum of digits as a multiple of 4 is:
Two coins (a $??, 2$ coin and a $??, 5$ coin) are tossed once. The total number of elements in sample space is
Two balls are drawn one after another (without replacement) from a bag containing $2$ white, $3$ red and $5$ blue balls. What is the probability that atleast one ball is red?
Total number of words formed by $2$ vowels and $3$ consonants taken from $4$ vowels and $5$ consonants is equal to
Trace (A') =
Total number of equivalence relations defined in the set S = {a, b, c } is :
To open a lock, a key is taken out of a collection of n keys at random. If the lock is not opened with this key, it is put back into the collection and another key is tried. The process is repeated again and again. It is given that with only one key in the collection, the lock can be opened, the probability that the lock will open in n trials is
To maximize the objective function $z = 2x + 3y $ under the constraints $x + y \leq 30, x - y \geq 0 , y \leq 12, x \leq 20 , y \geq 3$ and $x ,y \geq 0 $
To derive the tangent formula, the following steps are given: 1. $\tan\left(A + B\right) = \frac{\frac{\sin A \cos B}{\cos A \cos B} + \frac{\cos A \sin B}{\cos A \cos B}}{\frac{\cos A \cos B}{\sin A \sin B} + \frac{\sin A \sin B}{\cos A \cos B}}$ 2. $\tan\left(A + B\right) = \frac{\sin\left(A + B\right)}{\cos\left(A + B\right)} $ 3. $\tan\left(A + B\right) = \frac{\sin A \cos B + \cos A \sin B}{\cos A \cos B - \sin A \sin B}$ 4.$ \tan\left(A + B\right) = \frac{\tan A + \tan B}{1- \tan A \tan B} $ Their correct and proper sequential form to derive the formula is:
Tickets are numbered from 1 to 100. They are well shuffled and a ticket is drawn at random. Probability that the drawn ticket has a number 5 or multiple of 5 is
Three points $(2, -1,3)$, $(3, -5,1)$ and $(-1, 11, 9)$ are
Three numbers are chosen from 1 to 30. The probability that they are not consecutive is
Three non-zero real numbers form an $A.P$. and the square of the numbers taken in the same order constitute a $G.P$. Then the number of all possible common ratios of the $G.P$. are
Three married couples are to be seated in a row having six seats in a cinema hall. If spouses are to be seated next to each other, in how many ways can they be seated? Find also the number of ways of their seating if all the ladies sit together.
Three faces of a fair dice are yellow, two faces red and only one is blue. The dice is tossed three times. The probability that the colour yellow, red and blue appears in the first, second and the third tosses respectively is:
Three cards drawn successively, without replacement from a pack of $52$ well shuffled cards, then the probability that first two cards are kings and the third card drawn is an ace, is
These organisms have chlorophyll - a similar to that of higher plants.
There are three coplanar parallel lines. If any $P$ points are taken on each of the lines, the maximum number of triangles with vertices at these points, is
There are N coplanar vectors each of magnitude V. Each vector is inclined to the preceding vector at angle $\frac{2 \pi}{N} .$ What is the magnitude of their resultant?
There are $15$ points in a plane, no three of which are in a straight line, except $6$, all of which are in a st. line. The number of st. lines which can be drawn by joining them is
There are $25$ points in a plane, of which $10$ are on the same line. Of the rest, no three are collinear and no two are collinear with any one of the first ten points. The number of different straight lines that can be formed by joining these points is
There are $10$ points in a plane of which $4$ are collinear. The number of quadrilaterals that can be formed is
There are 10 true-false questions in a examination. Then these questions can be answered in:
The weighted mean of first n natural numbers, whose weights are proportional to the corresponding numbers, is