Find the value of x where the curve $y={{x}^{3}}+2{{x}^{2}}-5x-6$cross the x – axis

The inverse of the matrix $\left[ \begin{matrix}   2 & 1  \\   1 & 1  \\\end{matrix} \right]$is

What are the integral values of x which satisfy the inequality $-1<3-2x\le 5$

y is inversely proportional to x and y = 4 when x = $\frac{1}{2}$. Find x when y =10

I.    Rectangular bars of equal width
II.    The height of each rectangular bar is proportional to the frequency of the corresponding class interval
III.    Rectangular bar have common sides with no gaps in between
A histogram is described completely by

The weight of 10 pupils in a class are 15kg, 16kg, 17kg, 18kg, 16kg, 17kg, 17kg, 17kg,18kg and 16kg. What is the range of this distribution?

A committee of six is to be formed by a state governor from nine commissioner and three members of state house of assembly. In how many ways can the committee be chosen so as to include one member of the house of assembly?

A container  has 30 gold medals, 22 silver medals and 18 bronze medals. If one medal is selected at random from the container, what is the probability that it is not gold?

The mean age of a group of students is 15 years. When the age of a teacher is 45years old is added to the ages of the students, the mean of their ages becomes 18 years. Find the number of students in the group.

In how many ways can 2 students be seated from a group of 5 students in a debating competition?