List of top Mathematics Questions

If one ticket is randomly selected from tickets numbered 1-30 then find the probability that the number on the ticket is a multiple of 3 or 5?
Find the circumradius if 2 is the side of the triangle with the opposite angle \(\frac{\pi}{3}\). 

How many 6 digit numbers are formed with the digits 0,1,2,3,4,5,6,7 ? 
 

S1 and S2 are two straight-line reflections of S1 in S2 and S2 in S1 coincide. Find the angle between both

When two straight-line reflections, S1 and S2, coincide, it implies that they are mirror images of each other with respect to a common line. In other words, S1 is a reflection of S2 and S2 is a reflection of S1, resulting in an overlap of their positions. In such a scenario, the angle between them is 0 degrees, meaning they are aligned perfectly.

\(4x^2+hxy+y^2\) = 0 represent coincident lines. Find h = ? 

\(∫1/(1 + sinx)?\)
What is the probability of 53 Fridays in an ordinary year?

Coefficient independent of x in the expansion of (3x2-\(\frac{1}{2x^5}\))7 is?

Let S = {1, 2, 3, 4}.Then the number of elements in the set {f : S × S → S : f is onto and f(a,b)=f(b,a) ≥ a ∀ (a, b)∈  S × S is _____.

Let
 \(x = \begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix}\) and \(A = \begin{bmatrix} -1 & 2 & 3 \\ 0 & 1 & 6 \\ 0 & 0 & -1 \end{bmatrix}\)
For k ∈ N, if X’AkX = 33, then k is equal to ____ .

If the lines \( \frac{x-2}{1} = \frac{y-3}{1} = \frac{z-4}{-k} \) and \( \frac{x-1}{2k} = \frac{y-3}{2} = \frac{z-5}{1} \) are coplanar, then \( k \) can have
If \[ \begin{vmatrix} a & a^2 & 1+a^3 b & b^2 & 1+b^3 c & c^2 & 1+c^3 \end{vmatrix} = 0 \] and vectors \( (1,a,a^2), (1,b,b^2), (1,c,c^2) \) are non-coplanar, then the product \( abc \) is ___.
If the probability that a randomly chosen 6-digit number formed by using digits 1 and 8 only is a multiple of 21 is \( p \), then \( 96p \) is equal to ___.
A multiple choice examination has 5 questions. Each question has 4 alternatives of which exactly one is correct. The probability that a student will get 4 or more correct answer just by guessing is
If the foot of the perpendicular drawn from the point \( (0,2,1) \) on a line passing through \( (a,5,1) \) is \( \left(\frac{5}{3}, \frac{7}{3}, \frac{15}{3}\right) \), then \( a \) is equal to ___.
The area of the region described by \( A = \{(x,y) : x^2 + y^2 \le 1 \text{ and } y^2 \le 1 - x \} \) is
The area of the region bounded by the curves \( y = |x - 2| \), \( x = 1 \), \( x = 3 \) and the x-axis is
If \( \int f(x)\,dx = g(x) \), then \( \int x^9 f(x^5)\,dx \) is equal to
For what value of \( \theta \) lying between \(0\) and \( \pi \) which satisfy inequality \( \sin\theta \cos^3\theta>\sin^3\theta \cos\theta \)
Let \( f(x) = \sqrt{1 + x^2} \), then
If \( A \) is an \( n \times n \) non-singular matrix such that \( AA^T = A^{-1}A \) and \( B = A^{-1}A^T \), then \( BB' \) is equal to
If \( A = \{1,2\}, B = \{1,2,3,4\}, C = \{5,6\}, D = \{5,6,7,8\} \), then state which of the following is true?
If \( \sum_{i=1}^{10} (x_i - 3) = 7 \) and \( \sum_{i=1}^{10} (x_i - 3)^2 = 27 \), then the standard deviation of the 10 items is
\( \lim_{x \to 2} \frac{x^2 + 2^2 - 5}{2^{x-2} - 2} \) is equal to ____
The value of \( \lim_{x \to 0} \frac{\int_0^{x^2} \sec^2 t \, dt}{x \sin x} \) is