HSC Commerce (English Medium) 11th Standard - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

If f(x) = `(x+3)/(4x−5) , "g"(x) = (3+5x)/(4x−1)` then verify that `("fog") (x)` = x.

A man buys a house for Rs 10 lakh and rents it. He puts 10% of the annual rent aside for repairs, Pays Rs. 1000 as annual taxes and realizes 8% on his investment thereafter. Find the annual rent of the house.

Ankita's Salary was reduced by 50%. Again the reduced salary was increased by 50%. Find loss in terms of percentage.

A salesman sold an article at a loss of 10%. If the selling price has been increased by Rs. 80, there would have been a gain of 10%. What was the cost of the article?

Find the single discount equivalent to a series discount of 10%, 20%, and 15%.

A, B, and C enter into a partnership. A invests 3 times as much as B invests and B invests two-thirds of what ‘C’ invests. At the end of the year, the profit earned is Rs. 8800. What is the share of ‘B’?

The ratio of investment of two partners Santa and Banta is 11 : 12 and the ratio of their profits is 2 : 3. If Santa invested the money for 8 months, then for how much time Banta his money?

Describe the following set in the Roster Form:

{x/x is a letter of the word "MARRIAGE"}

Describe the following set in the Roster Form:

{x/x is an integer, `-1/2 < x < 9/2`

Describe the following set in the Roster Form:

{x/x = 2n, n ∈ N}

Describe the following set in the Set-Builder form:

{0}

Describe the following set in the Set-Builder form:

{0, ±1, ±2, ±3}

Describe the following set in the Set-Builder form:

`{1/2 , 2/5 , 3/10 , 4/17 , 5/26 , 6/37 , 7/50}`

If A, B, C are the sets for the letters in the words 'college', 'marriage' and 'luggage' respectively, then verify that
A - (B ∪ C) = (A - B) ∩ (A - C)

Write the following interval in the set-builder form (– 3, 0).

Write the following interval in the set-builder form: [6,12]

Write the following interval in the set-builder form:

(6, 12)

Write the following interval in the set-builder form: (-23, 5)

Write the following set in the set-builder form:

{10, 20, 30, 40, 50}

Write the following set in the set-builder form:

{a, e, i, o, u)