List of top Mathematics Questions

Let Sn be the sum of the first n terms of the series a1+a2+...an+… If Sn=n2+4n, then the nth term an is
The 11th term of the geometric series \(\displaystyle\sum^{20}_{r=0}2\times(-2)^r\) is equal to
If the first term of a G.P. is 3 and the sum of second and third terms is 60, then the common ratio of the G.P. is
In an A.P. there are 18 terms and the last three terms of the A.P. are 67, 72, 77. Then the first term of the A.P. is
The sum of the first 24 terms of the series 9+13+17+...... is equal to
If -1+7i, -1+xi and 3+3i are the three vertices of an isosceles triangle which is right angled at -1+xi, then the value of x is equal to
The modulus of \((\frac{1+i}{1-i})^{75}-(\frac{1-i}{1+i})^{75}\)is
If \(z^4=7-5i\), then \(\text{Im}((\bar{z})^4)\) is equal to
The value of \(\left[ \frac{5i}{(1-i)(2-i)(3-i)} \right]^{50}\)is equal to
The minimum value of |z+1|+|z-2| is equal to
The principal argument of the complex number \(z=\frac{8+4i}{1+3i}\) is equal to
Let f: R→R be defined by f(x) = cos x. Then
Let \(f(x) =   \begin{cases}     x+2       & for\ x\lt\ 1 \\     4x-1  & for\ 1\leq x \leq3 \\ x^2+5 & for\ x\gt3   \end{cases}\). Then
The domain of the function \(f(x) = (x^2-2x-63)^{\frac{3}{2}}\), x ∈ R is
Let A = {1,2,3,4,5} and let B={1,2,3,4}. If the relation R : A → B is given by (a, b) ∈ R if and only if a+b is even, then n(R) is equal to
The equation of the plane which bisects the angle between the planes $$ 3x - 6y + 2z + 5 = 0 \quad \text{and} \quad 4x - 12y + 3z - 3 = 0 \quad \text{which contains the origin is:} $$ 
If the mode of the data 2, 4, 6, 7, 5, 6, 10, 6, 7, 2k + 1, 9, 7, 13 is 7, then the value of k is
Which of the following cannot be determined graphically?
If a data has 25 observations (arranged in ascending order), then which of the following observations represents the median?
If the mean of the following data is k(> 0), then the value of k is
MarksK4K83
FrequencyK2K3K4K5K
If a card is selected at random from a deck of 52 cards, then the probability of getting a red face card is
The mean of 12 numbers is 19. If 4 is subtracted from each number, then the new mean is
A box contains 3 blue, 2 white and 4 red balls. If a ball is drawn at random from the box, what is the probability that it will not be a white ball?
Two dice are thrown together. The probability of getting the same number on both dice is
Which of the following cannot be the probability of an event?