List of top Mathematics Questions

Range of data 5, 10, 15, 20 is ____.
The mean of number 2, 4, 6, 8 is ____.
Probability of an impossible event is ____.
Mode of data 2, 3, 3, 5, 7 is ____.
If all observations are increased by 5 their mean ____.
If \( A = \begin{bmatrix} 2 & 1 5 & 3 \end{bmatrix} \), then \( A^{-1} = \) ____.
A card is drawn from a deck. Probability of getting king is ____.
A Dice is thrown. Probability of getting an even number is ____.
Inverse of \( \begin{bmatrix} 1 & 2 2 & 4 \end{bmatrix} \) ____.
lim (m→0) (1 - cos m) m² = ____.
The order and degree of differential equation (d²y/dx²)³ + (dy/dx)² + y = 0 respectively
lim (m→0) 5sinm m =
Area of Triangle with point (1,2) (3,6) (5,10) is
The distance between the line 3x + 4y + 5 = 0 and 3x + 4y - 7 = 0 is
The point dividing (1, 2) and (5, 6) in ratio 1:3 internally
The integral \( \int \frac{2+x^4}{1+x^2} dx \) is equal to
If the price of petrol increases by 25% and Raj intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?
The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :
If $P = \begin{pmatrix} 1 & \alpha & 3 \\ 1 & 3 & 3 \\ 2 & 4 & 4 \end{pmatrix}$ is the adjoint of a $3 \times 3$ matrix A and $det(A) = 4$, then $\alpha =$
If $\sin x \cos x = \frac{1}{4}$, then the general solution is:
Consider an A.P. $a_1,a_2,\ldots,a_n$ with $a_1>0$, $a_2-a_1=-\dfrac{3}{4}$ and $a_n=\dfrac{a_1}{4}$. If \[ \sum_{i=1}^{n} a_i=\frac{525}{2}, \] then find $\sum_{i=1}^{17} a_i$.
If \( X + Y = \begin{pmatrix} 5 & 3 \\ 0 & 7 \end{pmatrix} \) and \( X - Y = \begin{pmatrix} 7 & 1 2 & 3 \end{pmatrix} \). Then X and Y are
For what values of $k$ does the quadratic equation $9x^2 + kx + 1 = 0$ have equal roots?
What is the nature of the roots of the quadratic equation $x^2 - 7x + 10 = 0$?
A train travels $400 \text{ km}$ at a uniform speed. If the speed had been $10 \text{ km/h}$ more, it would have taken $2$ hours less for the same journey, then the speed of the train is _____.