Arts (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

Solve the given inequality graphically in two-dimensional plane: –3x + 2y ≥ –6

Solve the given inequality graphically in two-dimensional plane: 3y – 5x < 30

Solve the given inequality graphically in two-dimensional plane: y < –2

Solve the given inequality graphically in two-dimensional plane: x > –3

Solve the inequality and represent the solution graphically on number line:

2(x – 1) < x + 5, 3(x + 2) > 2 – x

Solve the following inequalities and represent the solution graphically on number line:

3x – 7 > 2(x – 6), 6 – x > 11 – 2x

Solve the inequalities and represent the solution graphically on number line:

5(2x – 7) – 3(2x + 3) ≤ 0, 2x + 19 ≤ 6x + 47

A solution is to be kept between 68° F and 77° F. What is the range in temperature in degree Celsius (C) if the Celsius/Fahrenheit (F) conversion formula is given by `F= 9/8` C + 32?

A solution of 8% boric acid is to be diluted by adding a 2% boric acid solution to it. The resulting mixture is to be more than 4% but less than 6% boric acid. If we have 640 litres of the 8% solution, how many litres of the 2% solution will have to be added?

How many litres of water will have to be added to 1125 litres of the 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content?

IQ of a person is given by the formula

IQ = `(MA)/(CA) xx100`

Where MA is mental age and CA is chronological age. If 80 ≤ IQ ≤ 140 for a group of 12 years old children, find the range of their mental age.

If ⁿC₈ = ⁿC₂, find ⁿC₂.

Determine n if  `""^(2n)C_3 : ""^nC_3 = 12 : 1`

Determine n if  `""^(2n)C_3 : ""^nC_3 = 11: 1`

In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?

Find the number of ways of selecting 9 balls from 6 red balls, 5 white balls and 5 blue balls if each selection consists of 3 balls of each colour.

Determine the number of 5 card combinations out of a deck of 52 cards if there is exactly one ace in each combination.