List of top Mathematics Questions

If $f (a + b - x) = f (x)$, then $\int\limits^{b}_{{a}}x\, f\, (x) \,dx$ is equal to
If $f(x) = \begin{cases} xe^{-\left(\frac{1}{\left|x\right|}+\frac{1}{x}\right)}, & \text{$x \ne0$} \\[2ex] 0, & \text{$x=0$} \end{cases}$ then $f (x)$ is
If $f (x) = x^n$, then the value of $f \left(1\right)-\frac{f '\left(1\right)}{1!}+\frac{f ''\left(1\right)}{2!}-\frac{f "'\left(1\right)}{3!}+\dots+\frac{\left(-1\right)^{n}f ^{n}\left(1\right)}{n!}$ is
The real number $x$ when added to its inverse gives the minimum value of the sum at $x$ equal to
The trigonometric equation $sin^{-1} x = 2\, sin^{-1}$ a, has a solution for
Let f (x) be a polynomial function of second degree. If $f (1) = f (- 1)$ and $a, b, c$ are in $A. P.,$ then $f' (a), f' (b)$ and $f' (c)$ are in
The sum of the series $\frac{1}{1\cdot2}-\frac{1}{2\cdot3}+\frac{1}{3\cdot4}-...... $ upto $8$ is equal to
If $\begin{vmatrix}a&a^{2}&1+a^{3}\\ b&b^{2}&1+b^{3}\\ c&c^{2}&1+c^{3}\end{vmatrix}=0 $ and vectors $(1, a, a^2) (1, b, b^2)$ and $(1, c, c^2)$ are non-coplanar, then the product abc equals
If $z$ and $?$ are two non-zero complex numbers such that $|z?| = 1$, and Arg $(z)$ - Arg $\left(\omega\right)=\frac{\pi}{2},$ then $\bar{z}\omega$ is equal to
A tetrahedron has vertices at $ O (0, 0, 0), A(1, 2, 1) B(2, 1, 3 )$ and $C(-1, 1, 2)$. Then the angle between the faces OAB and ABC will be
Two numbers are selected randomly from the set $S = \{1, 2, 3, 4, 5, 6\}$ without replacement. The probability that minimum of the two numbers is less than $4$, is
In [0, 1] Lagranges Mean Value theorem is NOT applicable to
The centre of circle inscribed in square formed by the lines $x^2 - 8x + 12 = 0$ and $y^2 - 14y + 45 = 0$, is
If logx a, ax/2 and logb x are in GP, ​​then x is
In a group of 15 women, 7 have nose studs, 8 have ear rings and 3 have neither. How many of these have both nose studs and ear rings?
When a bus started from the first stop, the number of male passengers to the number of female passengers was 3: 1. At the first stop, 16 passengers got down and 6 more female passengers got in. The ratio of the male to female passengers now became 2: 1. What was the total number of passengers in the bus when it started from the first stop?
How many ml of water must be added to 48 ml of alcohol to make a solution that contains 25\(\%\) alcohol?
In the figure, ABCD is a square with side 10. BFD is dn arc of a circle with centre C. BGD is an arc of a circle with centre A. What is the area of the shaded region?
Square Box of ABCD
We have an angle of \(2(\frac{1^\circ}{2})\). How big will it look through a glass that magnifies things three times?
A circular running path is 726 metres in circumference. Two men start from the same point and walk in opposite directions @ 3.75 km/h and 4.5 km/h respectively. When will they meet for the first time?
Suppose six coins are flipped. Then the probability of getting at least one tail is
Three boys and three girls are to be seated around a table in a circle. Among them the boy X does not want any girl neighbour and the girl Y does not want any boy neighbour. How many such arrangements are possible?
The monthly incomes of two persons are in the ratio of 4:5 and their monthly expenditures are in the ratio of 7:9. If each saves Rs. 50 a month, then what are their monthly incomes?
A manufacturer offers a 20\(\%\) rebate on the marked price of a product. The retailer offers another 30\(\%\) rebate on the reduced price. The two reductions are equal to a single reduction of
The area of a square increases by _____if its side increases by 30\(\%\)