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

Solve the following system of inequalities graphically.
3x + 2y ≤ 150, x + 4y ≥ 80, x ≤ 15, y ≥ 0, x ≥ 0

Solve the following system of inequalities graphically.
x + 2y ≤ 10, x + y ≥ 1, x – y ≤ 0, x ≥ 0, y ≥ 0

Kanchan purchased a Maruti car for Rs.2,45,000/- and the rate of depreciation is `14 2/7 %` per annum. Find the value of the car after two years?

The value of a machine depreciates from Rs.32768 to Rs.21,952/- in three years. What is the rate of depreciation?

The value of a machine depreciates at a rate of 10% every year. It was purchased 3 years ago. Its present value is Rs.2,18,700/-. What was the purchase price of the machine?

Mr. Manish purchased a motorcycle at Rs.70,000/-. After some years he sold his motorcycle at the exact depreciated value of it that is Rs.51,030/-. The rate of depreciation was taken as 10%. Find after how many years he sold his motorcycle.

Mr. Chetan purchased furniture for her home at Rs.5,12,000/-. Considering the rate of depreciation as 12.5%, what will be the value of furniture after 3 years.

Grace Fashion Boutique purchased a sewing machine at Rs.25,000/-. After 3 years machine was sold at a depreciated value Rs.18,225/- Find the rate of depreciation.

Mr. Pritesh reduced the value of his assets by 5% each year, which were purchased for Rs.50,00,000/-. Find the value of assets after 2 years.

A manufacturing company is allowed to charge a 10% depreciation on its stock. The initial value of the stock was Rs.60,000/-. After how many years the value of the stock will be 39366?

Which sets of ordered pairs represent functions from A = {1, 2, 3, 4} to B = {−1, 0, 1, 2, 3}? Justify : {(1,0), (3, 3), (2,−1), (4, 1), (2, 2)}

Which sets of ordered pairs represent functions from A = {1, 2, 3, 4} to B = {−1, 0, 1, 2, 3}? Justify : {(1, 2), (2,−1), (3, 1), (4, 3)}

Which set of ordered pair represent function from A = {1, 2, 3, 4}to B = {−1, 0, 1, 2, 3}? Justify : {(1, 3), (4,1), (2, 2)}

Which set of ordered pair represent function from A = {1, 2, 3, 4}to B = {−1, 0, 1, 2, 3}? Justify : {(1, 1), (2, 1), (3, 1), (4, 1)}

Find x, if `"g"(x)` = 0 where `"g"(x)` = `(5x−6)/7`

Find x, if `"g"(x)` = 0 where `"g"(x)`= `(18−2x^2)/ 7`

Find x, if `"g"(x)` = 0 where `"g"(x)` = 6x² + x − 2

Find x, if f(x) = g(x) where f(x) = x⁴ + 2x² , g(x) = 11x²

if f(x) = `{(4x - 2","   x ≤ - 3),(5","  -3 < x < 3),(x^2","  x ≥ 3):},`the find f(– 4)

If f(x) = 2x² + 3, g(x) = 5x – 2, then find gog.