List of top Mathematics Questions

A town has total population $25000$, out of which $13000$ read ??he Hindustan Times and $10500$ read ??he Indian Express?
A tower subtends an angle of 30$^\circ$ at a point on the same level as the foot of the tower. At a second point h metres above the first, the depression of the foot of the tower is 60$^\circ$. The horizontal distance of the tower from the point is.
A teaparty is arranged for 16 people along two sides of a large table with 8 chairs on each side. Four men want to sit on one particular side and two on the other side. The number of ways in which they can be seated is
A student has to answer $10$ questions, choosing atleast $4$ from each of parts $A$ and $B$. If there are $6$ questions in Part $A$ and $7$ in Part $B$, in how many ways can the student choose 10 questions ?
A student is allowed to select at most $n$ books from a collection of $(2n + 1)$ books. If the total number of ways in which be can select a book is $255$, then the value of $n$ equals to
A straight line is such that the sum of the reciprocals of its intercepts on the axes is K.Then it passes through the fixed point with co-ordinates
A straight line through the point A (3, 4) is such that its intercept between the axes is bisected at A. Its equation is
A square piece of tin of side $24\, cm$ is to be made into a box without top by cutting a square from each corner and folding up the flaps to form a box. What should be the side of the square to be cut off so that the volume of the box is maximum?
A square of side a lies above the x-axis and has one vertex at the origin. The side passing through the origin makes an angle $\alpha\left(0 < \alpha < \frac{\pi}{4}\right)$ with the positive direction of x-axis. The equation of its diagonal not passing through the origin :
A square matrix $A = [a_{ij}]_{n \times n}$ is called a diagonal matrix if $a_{ij} = 0$ for
A square matrix $A = [a_{ij}]_{n \times n}$ is called a lower triangular matrix if $a_{ij} = 0$ for
A sports team of $11$ students is to be constituted, choosing atleast $5$ from class and atleast $5$ from Class If there are $20$ students in each of these classes, in how many ways can the team be constituted?
A speaks truth in 75% and B in 80% of the cases. In what percentage of cases are they likely to contradict each other narrating the same incident ?
A signal which can be green or red with probability $\frac{4}{5} $ and $ \frac{1}{5} $ respectively, is received by station A and then transmitted to station B. The probability of each station receiving the signal correctly is $\frac{ 3}{4} $ If the signal received at station B is green, then the probability that the original signal green is
A shopkeeper sells three types of flower seeds $A_{1}$, $A_{2}$ and $A_{3}$. They are sold as a mixture, where the proportions are $4:4:2$, respectively. The germination rates of the three types of seeds are $45\%$, $60\%$ and $35\%$. calculate the probability $(i)$ of a randomly chosen seed to germinate. $(ii)$ that it will not germinate given that the seed is of type $A_{3}$. $( iii)$ that it is of the type $A_{2}$ given that a randomly chosen seed does not germinate.
A set contains $k$ elements. The power set of this set contains_______ elements.
A set contains (2n + 1) elements. If the number of subsets of this set which contain at most n elements is 4096, then the value of n is
Which of the following are not equivalence relations on I?
The range of the function $f\left(x\right)=\frac{x^{2}-x+1}{x^{2}+x+1}$ where $x \in R$
A set A has 3 elements and another set B has 6 elements. Then
A sequence containing a finite number of terms is called a...................
$A$ rod $AB$ of length $15\, cm$ rests in between two coordinate axes in such a way that the end point $A$ lies on $x$-axis and end point $B$ lies on $y$-axis. A point $P(x, y)$ is taken on the rod in such a way that $AP = 6\, cm$. Find the locus of $P$ of an ellipse.
A right circular cylinder which is open at the top and has a given surface area, will have the greatest volume if its height h and radius r are related by
A relation on the set A = {x : |x| < 3, x $\in$ Z }, where Z is the set of integers is defined by R = {(x, y) : y = |x|, x $\neq$ - 1}. Then the number of elements in the power set of R is:
A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then $CP^2 + CQ^2 + CR^2 + CS^2 =$