List of top Mathematics Questions

Using all the letters of the word MATHS, then rank of the word THAMS is:

\(\frac{dy}{dx}\) + \(\frac{5}{x(1+x^5)}\)y = \(\frac{(1+x^5)^2}{x^7}\) If y(1) = 2, then the value of y(2) is:

Let mean and variance of the data 1, 2, 4, 5, x, y are 5 and 10 then the mean deviation about mean is?
If \(y = max \{ {\sqrt{x}, x^2-4, x^3+2}\}\), then the number of solution(s) of y=1 is/are____?
If \(x+y+z=17\) and x, y, z are non-negative integers, then find the number of integral solutions is
5 boys with allotted roll numbers and seat numbers are seated in such a way that no one sits on the allotted seat. The number of such seating arrangements is?
Let \( S = \{ M = [a_{ij}], a_{ij} \in \{0, 1, 2\}, 1 \leq i, j \leq 2 \} \) be a sample space and \( A = \{ M \in S : M \text{ is invertible} \} \) be an event. Then \( P(A) \) is equal to:
\(\frac{nC_n}{(n+1)}\) + \(\frac{nC_{n-1}}{(n)}\) + ……… + ½ \(nC_1\) + \(nC_0\) = \(\frac{255}{8}\), Then value of n is
If the number of ways in which a mixed double badminton can be played such that no couples played into a same game is 840. Then find the number of players?
Two dice are rolled and sum of numbers of two dice is N then probability that 2N < N! is m/n , where m and n are co-prime, then 11m – 3n is?
Let \(y = y(x), y > 0,\) be a solution curve of the differential equation \((1 +x^2)dy = y(x−y)dx.\) If \(y(0) = 1\) and \(y(2√2) = β\), then
For the expression \((1-x)^{100}\). Then sum of coefficient of first 50 terms is:
Two circles having radius \(r_1\) and \(r_2\) touch both the coordinate axes. Line \(x+y=2\) makes intercept 2 on both the circles. The value of \(r_{1}^{2} + r_{2}^{2} - r_{1}r_{2}\) is:
If the value of \(∫_{-0.15}^{0.15} |100x^{2}-1|dx = \frac{k}{3000}\), then the value of k is?

The sum of all the four-digit numbers that can be formed using all the digits 2, 1, 2, 3 is equal to ______.

If \( S_n = 4 + 11 + 21 + 34 + 50 + \dots \) to \( n \) terms, then \( \frac{1}{60} (S_{29} - S_9) \) is equal to:
If area bounded by region \({x, y)| |x^{2}-2| ≤ y ≤ x}\) is A, then 6A + 16\(\sqrt{2}\) is?
Using the number 1, 2, 3 ... 7, total numbers of 7 digit number which does not contain string 154 or 2367 is (Repetition is not allowed)
The largest natural number \(n\) such that \(3^n\) divides \(66!\) is:

The area of the quadrilateral having vertices as (1,2), (5,6), (7,6), (-1,-6) is?

Let \( m \) and \( n \) be the numbers of real roots of the quadratic equations \( x^2 - 12x + [x] + 31 = 0 \) and \( x^2 - 5|x+2| - 4 = 0 \), respectively, where \( [x] \) denotes the greatest integer less than or equal to \( x \). Then \( m^2 + mn + n^2 \) is equal to ___________.

Maximum value n such that (66)! is divisible by 3n
Let A be the point (1, 2) and B be any point on the curve \( x^2 + y^2 = 16 \). If the centre of the locus of the point P, which divides the line segment AB in the ratio 3:2 is the point C (\( \alpha, \beta \)), then the length of the line segment AC is:
The coefficient of x and x\(^2\) in (1 + x)\(^p\) (1 – x)\(^q\) are 4 and – 5, then 2p + 3q is
Let 𝛂 be the remainder (22)\(^{2022}\) + (2022)\(^{22}\) is divided by 3 and ꞵ be the remainder when the same is divided by 7 then 𝛂\(^2\) + ꞵ\(^2\) is?