List of top Mathematics Questions

The feasible region of the linear programming problem is determined by the system of inequalities: \[ x + y \leq 6, \quad x \geq 0, \quad y \geq 0. \] What is the maximum value of \( x + y \) in the feasible region?
In how many ways can 5 people be arranged in a row?
A die is rolled. What is the probability of getting a number less than or equal to 4?
If \( z = 3 + 4i \), then the modulus of \( z \) is:
The value of the integral \( \int_0^1 x^2 \, dx \) is:
The maximum value of the function \( f(x) = -2x^2 + 4x + 1 \) occurs at:
If \( \vec{A} = 2\hat{i} + 3\hat{j} \) and \( \vec{B} = 4\hat{i} - \hat{j} \), then the dot product \( \vec{A} \cdot \vec{B} \) is:
The limit of \( \lim_{x \to 0} \frac{\sin x}{x} \) is:
If \( A = \begin{bmatrix} 2 & 1
3 & 4 \end{bmatrix} \), then the determinant of matrix \( A \) is:
The general solution of the differential equation \( \frac{dy}{dx} = 3x^2 \) is:
If the roots of the quadratic equation \( x^2 - 7x + 12 = 0 \) are \( \alpha \) and \( \beta \), then the value of \( \alpha + \beta \) is:
If \( \tan \theta = 2 \), then the value of \( \sec^2 \theta \) is:
A bag contains 5 red balls and 3 green balls. If two balls are drawn at random without replacement, what is the probability that both balls drawn are red?
The distance between the points \( A(3, 4) \) and \( B(-1, -2) \) is:
The value of the definite integral \( \int_0^{\pi} \sin^2 x \, dx \) is:
What is the sum of the first 10 terms of the arithmetic progression with first term 3 and common difference 2?
If \( \sin \theta + \cos \theta = \sqrt{2} \), what is the value of \( \sin \theta \cos \theta \)?
What is the value of \( \int_0^{\pi/2} \sin x \cos x \, dx\)?
If the roots of the quadratic equation \( x^2 - 6x + k = 0 \) are real and distinct, what is the range of values for \( k\)?
If \( \sin \theta + \cos \theta = 1 \), what is the value of \( \sin^2 \theta + \cos^2 \theta \)?
The sum of the first 30 terms of an arithmetic progression is 930. If the first term is 2, what is the common difference of the progression?
If log$_{10}$(x + 1) = 2, what is the value of x?
If the roots of the quadratic equation \( 2x^2 - 5x + k = 0 \) are real and distinct, what is the range of values for \( k \)?
The roots of the equation \( x^2 + 5x + 6 = 0 \) are:
The equation of a straight line is given by \( y = 3x + 4 \). What is the slope of the line?