List of top Mathematics Questions

The value of 28 mod 3 is.

The effective rate equivalent to a nominal rate of 8% per annum compounded semi-annually is:

Which index number is used to compare cost of living at two different cities?

If the matrix \(A=\begin{bmatrix} 5&4a+6\\a+12&a+3 \end{bmatrix} \)is a symmetric matrix, then the value of a is:

Match List I with List II

Choose the correct answer from the options given below:

If A and B are events such that \(P(A'UB')=\frac{1}{3}\) and \(P(AUB) = \frac{4}{9}\) then the value of \(P(A') + P(B')\) is:

The probability of getting a correct answer to a question is \(\frac{x}{12}\). If the probability of not getting the correct answer is \(\frac{2}{3}\), then what is the value of x ?

The set of value of \(x\) for which the angle between the \(\overrightarrow a = 2x²\hat i + 4x \hat j + \hat k\) and \(\overrightarrow b =7\hat i-2\hat j + x\hat k\) is obtuse is :

In a polyhedron, the number of faces is 4 and the number of edges is 6, then the number of vertices of that polyhedron is:

The region represented by the system of inequalities x, y≥0, y≤8, x + y≤4 is:

The points of discontinuity of the function \(f\) defined by \(f(x) = \begin{cases} x+2 & x≤1 \\ x-2 &1<x<2\\ 0& x≥2\end{cases}\) are:

For the problem max Z = ax + by, x≥0, y ≥0, which of the following is NOT a valid constraint to make it a linear programming problem?

A carpenter earns a profit of ₹50 and ₹80 on one chair and one table respectively. The requirement and availability of wood and labour are tabled as:

The number of chairs and tables in appropriate units to be manufactured for maximum profit are, respectively:

The ratio of speeds of a motor boat and that of current of water is 35:6. The boat goes against the current in 6 hours 50 minutes. The time taken by boat to come back is :

Choose the wrong statement from the following:

The direction ratios of the line perpendicular to the lines \(\frac{x-7}{-6}= \frac{y+17}{4}= \frac{z-6}{2} \space and \space \frac {x+5}{6}=\frac{y+3}{3}=\frac{z-4}{-6}\) are proportional to:

The function f(x) - x³ , x ∈ R has :

The value of \(\int_1^4|x-1|dx \)  is :

In how many ways can a committee of 7 members be selected from 6 men and 5 women consisting of 4 men and 3 women ?

Let\[f(x)=\begin{cases} 2x-1, x<1\\ 1, x=1 \\ x^2,x>1 \end{cases}\]then at x = 1

Which of the following is correct for standard deviation, where \(\bar{X}\) = mean 

If \(2\sin2\theta=\sqrt3\), where 0 ≤ 2θ ≤ 90°, then find the value of cos 3θ

If A is a square matrix of order 3 and |A|=5, then |adj(adjA)| is:

If \(A = \begin{bmatrix} 4&5&2\\ 3&-1&7\end{bmatrix}\), then the sum of the elements of the matrix AA^T is:

If \(y=x^3\log x, then\ \frac{d^2y}{dx^2}\) is: