HSC Commerce (English Medium) इयत्ता ११ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

From a group of 8 boys and 5 girls, a committee of five is to be formed. Find the probability that the committee contains 3 boys and 2 girls.

From a group of 8 boys and 5 girls, a committee of five is to be formed. Find the probability that the committee contains at least 3 boys.

A room has three sockets for lamps. From a collection of 10 light bulbs of which 6 are defective, a person selects 3 bulbs at random and puts them in socket. What is the probability that the room is lit?

The letters of the word LOGARITHM are arranged at random. Find the probability that vowels are always together.

The letters of the word LOGARITHM are arranged at random. Find the probability that vowels are never together.

The letters of the word LOGARITHM are arranged at random. Find the probability that Exactly 4 letters between G and H.

The letters of the word LOGARITHM are arranged at random. Find the probability that Begins with O and ends with T.

The letters of the word LOGARITHM are arranged at random. Find the probability that start with vowel and end with ends with consonant.

The letters of the word SAVITA are arranged at random. Find the probability that vowels are always together.

Solve the inequation:
`("x" - 2)/("x" + 5) > 0`

Solve the following inequation graphically in the two-dimensional plane.
x ≤ – 4

Solve the following inequation graphically in the two-dimensional plane.
y ≥ 3

Solve the following inequations graphically in two-dimensional plane.
y ≤ – 2x

Solve the following inequation graphically in the two-dimensional plane.
y – 5x ≥ 0

Solve the following inequation graphically in the two-dimensional plane.
x – y ≥ 0

Solve the following inequation graphically in two-dimensional plane.
2x – y ≤ − 2

Solve the following inequation graphically in the two-dimensional plane.
4x + 5y ≤  40

Solve the following inequation graphically in the two-dimensional plane.
`1/4 "x" + 1/2 "y" ≤ 1`

Mr. Rajesh. Has Rs. 1800 to spend on fruits for a meeting. Grapes cost Rs. 150 per kg. and peaches cost Rs. 200 per kg. Formulate and solve it graphically.

Diet of a sick person must contain at least 4000 units of vitamin. Each unit of food F₁ contains 200 units of vitamin, where as each unit of food F₂ contains 100 units of vitamins. Write an inequation to fulfil sick person’s requirements and  represent the solution set graphically.