List of top Mathematics Questions

If \(A\), \(B\), and \(C\) are interior angles of triangle \(ABC\), then the value of \(\cos \left( \frac{A + B}{2} \right)\) is:
Exponential form of \(\log_b a = c\) is:
Two dice are thrown at the same time. What is the probability that the sum of the two numbers appearing on the top of the dice is 13?
The distance between the points \((x_1, y_1)\) and \((x_2, y_2)\) is:
The value of \(\cos 54^\circ \cos 36^\circ - \sin 54^\circ \sin 36^\circ\) is:
Which of the following statements is not correct?
Number of natural numbers that can be formed using digits 1, 2, 3, 4, 5, 6, 7 each exactly once so that digits 3, 4 and 5 are always in the middle is equal to:
In an election contested by two candidates, one candidate got 30% of total votes and lost by 500 votes. The total number of votes polled is:
The sum of four consecutive even numbers is 107 more than the sum of three consecutive odd numbers. If the sum of the smallest odd number and the smallest even number is 55, then what is the smallest even number?
The salary of a worker is first increased by 5% and then it is decreased by 5%. What is the change in his salary?
If the average diameter of air bubbles in a bioreactor is 2 mm and the gas hold up is 10%, then the surface area of gas bubbles per liter of reactor is:
Let $ \alpha $ and $ \beta $ be the distinct roots of $ ax^2 + bx + c = 0 $, then $ \lim_{x \to \alpha} \frac{1 - \cos(ax^2 + bx + c)}{(x - \alpha)^2} $ is equal to:
The equation \( x^2 + ax + 1 = 0 \) has no real roots. Which one of the following is correct?
The cross product of vector \( \vec{A} \) and vector \( \vec{B} \) has a magnitude of 50 units, where vector \( \vec{A} \) has a magnitude of 10. The angle between vector \( \vec{A} \) and \( \vec{B} \) is 60 degrees. What is the magnitude of vector \( \mathbf{B} \)?
Which of the following is a geometric progression?
If secθ+tanθ=k, then secθ-tanθ=?
If the zeroes of the quadratic polynomial \(ax^2+bx+c \  (c≠0)\) are equal, then
If A and B are the two sets containing 3 and 6 elements respectively, then what can be the maximum number of elements in A∪B?
The modal class of the following frequency distribution is
Class Interval0-2020-4040-6060-8080-100
Number of Students1518212917
In the given figure, the radius of each outer circle is a, then the radius of the inner circle is
In the given figure, the radius of each outer circle is a, then the radius of the inner circle is

If $ A = \begin{bmatrix} 0 & x & 16 \\ x & 5 & 7 \\ 0 & 9 & x \end{bmatrix} $ is a singular matrix, then $ x $ is equal to

If the straight lines $ \frac{x - 2}{1} = \frac{y - 3}{1} = \frac{z - 4}{-t} \quad \text{and} \quad \frac{x - 1}{t} = \frac{y - 4}{2} = \frac{z - 5}{1} \quad \text{are intersecting, then $ t $ can have:} $
The sum of the order and degree of the differential equation $ \left( \frac{d^5y}{dx^5} \right) + 4 \left( \frac{d^4y}{dx^4} \right) + \left( \frac{d^3y}{dx^3} \right) = x^2 - 1 $
In the expansion of $ \left( \frac{1}{x} + x \sin x \right)^{10} $, the coefficient of the 6th term is equal to $ 7^7g $, then the principal value of $ x $ is.
The letters of the word "COCHIN" are permuted and all the permutations are arranged in alphabetical order as in an English dictionary. The number of words that appear before the word "COCHIN" is