List of top Mathematics Questions

Number of 4-digit numbers (the repetition of digits is allowed) which are made using the digits 1,2 , 3 and 5 , and are divisible by 15 , is equal to _____
If the equation of the plane passing through the point $(1,1,2)$ and perpendicular to the line $x-3 y+$ $2 z-1=0=4 x-y+z$ is $A t+ B y+ C z=1$, then $140( C - B + A )$ is equal to______
The mean and variance of 7 observations are 8 and 16 respectively If one observation 14 is omitted and $a$ and $b$ are respectively mean and variance of remaining 6 observation, then $a+3 b-5$ is equal to ______
Let $z=1+i$ and $z_1=\frac{1+i \bar{z}}{\bar{z}(1-z)+\frac{1}{z}}$ Then $\frac{12}{\pi} \arg \left(z_1\right)$ is equal to________
A completes \(\frac{7}{20}\) of a work in 10 days. Then he completes the remaining work with the help of B in 5 days. The time required for A and B together to complete the entire work is :
If \(\theta\) is the angle between the vectors \(2 \hat{i} - 2 \hat{j} +4 \hat{k}\) and \(3 \hat{i} + \hat{j} + 2 \hat{k}\), then value of sin \(\theta\) is:
Consider the following data:
Year20082009201020112012
Production(In Tons)6075807085
The equation of the straight line trend by the method of least squares is,
If \(x = e^{y+e^y+.... to \space ∞}, x> 0\) then \(\frac{d^2y}{dx^2}\) is:
The total cost function for x units of a commodity is given by \(C(x) = \frac{25x^3}{3}-75x^2+48x+34\). The output \(x\) at which the marginal cost is minimum is:
In a \(\angle\)\(ABC\) right angled at A, if \(\triangle\)\(ABC=60°\) and\( AC=4\) units, then length of \(BC\) (in units) is :
Arjun is twice as old as Shreya. Five years ago, his age was three times Shreya's age. Find the sum of their present ages:
For any two non zero vectors \(\vec{a}\) and \(\vec{b}\)
A. If \(|\vec{a}| = |\vec{b}|\)then \(\vec{a} = \vec{b}\)
B. If \(\vec{a} = \vec{b}\) then \(|\vec{a}| = |\vec{b}|\)
C. \(\vec{a} . \vec{b}=\vec{b} . \vec{a}\)
D. \(\vec{a} \times \vec{b}=\vec{b} \times \vec{a}\)
E. area of the parallelogram = \(\frac{1}{2} |\vec{a} \times \vec{b}|\). where \(\vec{a}\) and \(\vec{b}\) represent resent the diagonals of the parallelogram.
Choose the correct answer from the options given below:
If in a binomial distribution n=4, P(X=0)=\(\frac{16}{81}\), then P(X = 4) equals :
The sum of the first four terms of an A.P. is 56 and the sum of its last four terms is 112. If its first term is 11, then find the number of terms.
The condition on a and b, such that for \(y = \frac{a}{x}-\frac{b}{x²}\), \(\frac{dy}{dx} =0\) at x=1 is:
If cosy = xcos(a + y), then \(\frac{dy}{dx}\) =
If 7-digit number 485A64B is divisible by 8 and 9, then find the greatest value of A+ B.
\(\begin{vmatrix} 2x  & 3  \\[0.1em]   5x & x  \end{vmatrix}\)=\(\begin{vmatrix}  16  & 3  \\[0.1em]   5 & 2  \end{vmatrix}\) the value of \(x\) is
Which of the following statements are incorrect?(A) Volume of a cone = \(\frac{1}{3} \pi r^3 h\) (B) Volume of a cone = \(\frac{1}{3} \pi r^2 h\)  (C) Volume of a hemisphere = \(\frac{2}{3} \pi r^2\)  (D) Volume of a hemisphere = \(\frac{2}{3} \pi r^3\)  (E) Volume of a cylinder = \(\frac{1}{3} \pi r^3 h\)  Choose the correct answer from the options given below:
In a school, ratio of number of boys to that of girls was \(6:5.\) In the next year, number of boys increased by \(20\%\) and number of girls increased by \(10\%\) resulting in an increase of \(119\) students in the school. How many students were there in the school initially?
Area of the region bounded by \(y=-1, y=2, x=y^3 \space and \space x=0\) is:
If A is a symmetric matrix and n ∈ N, then An is :
For the given five values 17, 26, 20, 35, 44, the three years moving averages are :
A doll making small-scale unit calculates the variable cost of making x number of dolls per day as three times the square of \(x\). The fixed cost of packaging x dolls is  \(₹ 2800\). The marginal cost of producing 120 dolls:
A product costs the manufacturer ₹20 per unit. The demand function is given by p(x) = 1000-20x, then the quantity for maximum profit is: