List of top Mathematics Questions

The maximum value of the function \(f(x)=x+\sqrt{1-x}\) on the interval [0,1] is, 

If the mean of 5 observations x, x+2, x+4, x+6 and x+8 is 11, then value of x

A. \(\begin{bmatrix}1& 2& 3   \\[0.3em]2 & 4 & 5   \\[0.3em]3 & 5&6   \\[0.3em] \end{bmatrix}\) is a Symmetric matrix. 
B. \(\begin{bmatrix}0 &0 &0   \\[0.3em]0& 0&0   \\[0.3em] \end{bmatrix}\) is a Null matrix.
C. \(\begin{bmatrix}1& 0& 0   \\[0.3em]0 & 2 & 0\\[0.3em]0 & 0&3\\[0.3em] \end{bmatrix}\) is an Identity matrix.
D. \(\begin{bmatrix}0& 1&2   \\[0.3em]-1 & 0 & 3   \\[0.3em]-2 & 3&0\\[0.3em] \end{bmatrix}\) is a Skew symmetric matrix.
E. \(\begin{bmatrix}\sqrt{3} &0& 0\\[0.3em]0 & \sqrt{3} & 0   \\[0.3em]0 & 0&\sqrt{3}   \\[0.3em] \end{bmatrix}\) is a Scalar matrix
Choose the correct answer from the options given below:

Which of the following is a correct statement ?

The set of all positive integers less than 50 forming the equivalence class of 8 for modulo 11 is:

The coordinates of the foot of the perpendicular drawn from origin to the plane \(2x - 3y + 4z - 6 = 0\) is :

A telephone exchange receives on an average 5 calls per minute. The probability of receiving 3 or less calls per minute is :

What is the value of ⁸¹P₂-⁸¹C₂?

The value of \(sin^{-1}\frac{12}{13} +cos^{-1}\frac45+tan^{-1}\frac{63}{16}\) is :

The corner points of feasible region determined by the system of linear constraints are (0, 3), (1, 1) and (3, 0). Let Z = px + qy where p, q > 0. The condition on p and q so that, minimum of Z occurs at (3, 0) and (1, 1) is :

If \(\begin{bmatrix}      1 & 2  \\[0.3em]    3  &4  \end{bmatrix}\)\(\begin{bmatrix}      3& 1  \\[0.3em]    2  &5  \end{bmatrix}\)\(=\begin{bmatrix}      7 & 11  \\[0.3em]    K&23  \end{bmatrix}\),then the value of k is

Which of the following is called 'Trapezium'?

If a random variable X follows poison distribution such that 3P(X=1)=P(X=2), then P(X=4) is,

A discrete random variable X has the following probability distribution:

The value of b is:

If \(A=\begin{bmatrix} -2&6\\-5&-1\end{bmatrix}\) then \(A^{-1}\) is:

Arun covers first 28 kms of his journey in 45 minutes and the remaining 32 kms in 35 minutes. What is his average speed in m/s ?

The probability distribution of a discrete random variable \(X\) is given below :

\(X\)	\(2\)	\(3\)	\(4\)	\(5\)
\(P(X)\)	\(\frac5k\)	\(\frac7k\)	\(\frac9k\)	\(\frac{11}{k}\)

then the value of k is:

For fencing of flower bed with 100 cm long wire in the form of circular sector, the maximum area of the flower bed is :

A and B started a business by investing ₹10,000 and ₹18,000 respectively. After 4 months C joined the business with a capital of ₹12,000. After two more months B left the business his capital. At the end of the year A got a share of ₹7,500 in the profit. What is the total profit earned ?

The value of the determinant \(\begin{vmatrix}cos^2θ&cosθsinθ&0 \\-sinθ&cosθ&0 \\ 0&0&1 \end{vmatrix}\) is equal to

The maximum value of\( z=2.5x+y\) subject to the constraints \( x+3y\leq12, 3x+y\leq12, x, y\geq0, \) is: 

From the given statements, what conclusion can be made?
Statements: Some men are wise
                    All wise are professors
Conclusion I: Some men are professors.
                    II: All professors are wise

Let B =\(\begin{bmatrix} 1 & 3 & α \\ 1 & 2& 3 \\ α & α & 4 \end{bmatrix}\) , α>2 be the adjoint of a matrix A and |A| = 2, then [α - 2α α] B\(\begin{bmatrix} α \\ -2α  \\ α \end{bmatrix}\)is equal to

\(lim _{n→∞}{(2^½-2^½)(2^½-2^½)….(2^½-^2{\frac{1}{2n+1}})}\) is equal to