List of top Mathematics Questions

Solve: \( 3 + \frac{1}{2 + \frac{1}{5 + \frac{1}{4}}} \)
The area of the rectangular park whose length is 7 meters more than its breadth is 260 sq meters. For fencing the entire boundary of the park if ₹9000 is spent, then the cost of fencing per meter is (in ₹):
In a triangle, if the three angles are in the ratio \( 2 : 5 : 8 \), then the values of those three angles are:
If \( A(2, 3) \) and \( B(4, 5) \) are the end points of a straight line AB, then the slope of straight line AB is:
Calculate the compound interest on ₹1000 for a period of one year at the rate 10% per annum, if interest is compounded quarterly?
Among the following expressions, the one that is a polynomial is:
If the price of a book including 10% G.S.T. is ₹880, then the original price of the book without G.S.T. is:
If \( a, b, c \) elements are in geometric progression, then \( \log a, \log b, \log c \) will be in:
If \( A : B : C = 2 : 3 : 4 \), then find the value of \( \frac{A}{B} \div \frac{B}{C} \div \frac{C}{A} \):
Calculate the compound interest on ₹ 1000 for a period of one year at the rate of 10% per annum, if interest is compounded quarterly.
Evaluate \( \sqrt[3]{21952} + \sqrt{2025} \):
If \( 2 \log 5 + \frac{1}{2} \log 9 - \log 3 = \log x \), then the value of \( x \) is:
Let $ x_0 $ be the real number such that $ e^{x_0} + x_0 = 0 $. For a given real number $ \alpha $, define $$ g(x) = \frac{3xe^x + 3x - \alpha e^x - \alpha x}{3(e^x + 1)} $$ for all real numbers $ x $. Then which one of the following statements is TRUE?
Median of \( x, 20x, \frac{x}{20}, 200x, \frac{x}{200} \) (where \( x>0 \)) is 20, then the value of \( x \) is:
The solution of system of equations \( \frac{x}{2025} + \frac{y}{2026} = 2 \) and \( \frac{2x}{2025} - \frac{y}{2026} = 1 \) is:
How many different 4-letter words can be formed from the letters of the word "BINARY" without repetition?

In the adjoining figure, TS is a tangent to a circle with centre O. The value of $2x^\circ$ is

If $A = \{x \in \mathbb{R} \mid \sin^{-1}(\sqrt{x^2+x+1}) \in [-\frac{\pi}{2}, \frac{\pi}{2}]\}$ and $B = \{y \in \mathbb{R} \mid y = \sin^{-1}(\sqrt{x^2+x+1}), x \in A\}$, then
From the word ARRANGEMENT, how many distinct 9-letter words can be formed?
The value of \( \cos \left( \frac{\pi}{6} + \cot^{-1}(-\sqrt{3}) \right) \) is:
If \( p \) and \( q \) are respectively the order and degree of the differential equation \( \frac{d}{dx} \left( \frac{dy}{dx} \right)^3 = 0 \), then \( (p - q) \) is:
If the normal drawn to the hyperbola \( xy = 16 \) at (8, 2) meets the hyperbola again at a point \((\alpha, \beta)\), then \( |\beta| + \frac{1}{|\alpha|} = \)
If a line makes angles of \( \frac{3\pi}{4} \) and \( \frac{\pi}{3} \) with the positive directions of \( x \), \( y \), and \( z \)-axes respectively, then \( \theta \) is:

A cylindrical tank of radius 10 cm is being filled with sugar at the rate of 100π cm3/s. The rate at which the height of the sugar inside the tank is increasing is:

If the function \( f \) defined by \[ f(x) = \begin{cases} \dfrac{1 - \cos 4x}{x^2}, & x<0 \\ a, & x = 0 \\ \dfrac{\sqrt{x}}{\sqrt{16 + \sqrt{x}} - 4}, & x>0 \end{cases} \] is continuous at \( x = 0 \), then \( a = \)