List of top Mathematics Questions

Formula used to find the class-mark of a class interval is
How many whole numbers are there between 45 and 54?
Which of the following is a FALSE statement?
The solution for the pair of linear equations in two variables \(2x + y = 10, x - y = 2\); is
Factorization of \( x^2 - x - 6 \)
Which of the following is a TRUE statement?
In the formula, Mode = \(l + \left[\frac{f_1 - f_0}{2f_1 - f_0 - f_2}\right] \times h\), \(f_1\) is
If the coefficients of \(x^5\) and \(x^6\) are equal in the expansion of \( \left( a + \frac{x}{5} \right)^{65} \), then the coefficient of \(x^2\) in the expansion of \( \left( a + \frac{x}{5} \right)^4 \) is:
Let \( f : \mathbb{R} \to \mathbb{R} \) be a thrice differentiable function such that \[ f(0) = 0, \, f(1) = 1, \, f(2) = -1, \, f(3) = 2, \, \text{and} \, f(4) = -2. \] Then, the minimum number of zeros of \( (3f' f' + f'') (x) \) is:
Ravi can do \( \frac{3}{4} \) of a work in 12 days. In how many days Ravi can finish the \( \frac{1}{2} \) work?
The value of \( \frac{\sqrt{1 + \sin x}}{1 - \sin x} \) is:

Use the following figure to find \( x^\circ \) and \( y^\circ \):

Given \[ A = \begin{bmatrix} 0 & 1 & 2 \\ 4 & 0 & 3 \\ 2 & 4 & 0 \end{bmatrix} \] \(\quad B \text{ is a matrix such that }\) \(AB = BA. \text{ If } AB \text{ is not an identity matrix, then the matrix that can be taken as } B \text{ is:} \)
The coefficient of the highest power of \(x\) in the expansion of \((x + \sqrt{x^2 - 1})^8 + (x - \sqrt{x^2 - 1})^8\) is:
If \( S = \{ a \in \mathbb{R} : |2a - 1| = 3[a] + 2\{a\} \} \), where \([t]\) denotes the greatest integer less than or equal to \(t\) and \(\{t\}\) represents the fractional part of \(t\), then \( 72 \sum_{a \in S} a \) is equal to _________.
If the system of linear equations \(x - 2y + z = -4\); \(2x + αy + 3z = 5\) and \(3x - y + βz = 3\) has infinitely many solutions then \(12α + 13β\) is equal to
If \(2x + y = 35\) and \(3x + 4y = 65\), then the value of \(\frac{x}{y}\) is
The value of \( \sqrt[3]{72.9} \) is:
The value of \( \frac{\cos 20^\circ \cos 70^\circ - \sin 20^\circ}{\sin 70^\circ} \) is:
For what value of \(k\), the product of zeroes of the polynomial \(kx^2 - 4x - 7\) is 2?
In an A.P., if \(a = 8\) and \(a_{10} = -19\), then value of \(d\) is:
The mid-point of the line segment joining the points \((-1, 3)\) and \(\left(8, \frac{3}{2}\right)\) is:
If \(\sin \theta = \frac{1}{3}\), then \(\sec \theta\) is equal to:
HCF \((132, 77)\) is:
If the roots of quadratic equation \(4x^2 - 5x + k = 0\) are real and equal, then value of \(k\) is: