List of top Mathematics Questions

If the number of available constraints is 3 and the number of parameters to be optimised is 4, then
\(\text{The area of the region enclosed between the curves } 4x^2 = y \text{ and } y = 4 \text{ is:}\)
The perimeter of an equilateral triangle whose area is \( 4\sqrt{3} \, \text{cm}^2 \) is equal to:
The difference between, the value of the smallest item and the value of the largest item:
The difference between, the value of the smallest item and the value of the largest item: % Comma after "between" is misplaced.
The most frequently observed value in the data is:
Which of the following is a FALSE statement?
How many whole numbers are there between 45 and 54?
Find the side of a cube whose surface area is 600 cm\(^2\).
Top measures of a table are 3m and 1m 75 cm respectively. Its area in square meters is
Which of the following can be the sides of a right angle triangle?
Formula used to find the class-mark of a class interval is
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
Factorization of \( x^2 - x - 6 \)
The solution for the pair of linear equations in two variables \(2x + y = 10, x - y = 2\); 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 _________.
\(\text{Let } S = \{x \in \mathbb{R} : (\sqrt{3} + \sqrt{2})^x + (\sqrt{3} - \sqrt{2})^x = 10\}\).Then the number of elements in \( S \) is: