HSC Commerce: Marketing and Salesmanship इयत्ता १२ वी - Maharashtra State Board Important Questions

`int(1 - x)^(-2) dx` = ______.

Solve the following differential equation.

x²y dx − (x³ + y³) dy = 0

The integrating factor of the differential equation `dy/dx - y = x` is e^−x.

State whether the following statement is true or false:

Order and degree of a differential equation are always positive integers.

For the differential equation, find the particular solution (x – y²x) dx – (y + x²y) dy = 0 when x = 2, y = 0

Deepak’s salary was increased from ₹ 4,000 to ₹ 5,000. The sales being the same, due to reduction in the rate of commission from 3% to 2%, his income remained unchanged. Find his sales.

The payment date after adding 3 days of grace period is known as ______.

Broker is an agent who gives a guarantee to seller that the buyer will pay the sale price of goods.

In an ordinary annuity, payments or receipts occur at ______. 

The equations given of the two regression lines are 2x + 3y - 6 = 0 and 5x + 7y - 12 = 0.

Find:

(a) Correlation coefficient

(b) `sigma_x/sigma_y`

For 50 students of a class, the regression equation of marks in statistics (X) on the marks in accountancy (Y) is 3y − 5x + 180 = 0.  The variance of marks in statistics is `(9/16)^"th"` of the variance of marks in accountancy. Find the correlation coefficient between marks in two subjects.

State whether the following statement is True or False:

If b_yx = 1.5 and b_xy = `1/3` then r = `1/2`, the given data is consistent

b_XY . b_YX = ______.

In an assignment problem, if number of column is greater than number of rows, then a dummy column is added.

A toy manufacturing company produces five types of toys. Each toy has to go through three machines A, B, C in the order ABC. The time required in hours for each process is given in the following table.

Solve the problem for minimizing the total elapsed time.

State the importance of principles of management.

State with reasons, whether the following statement is True or False:

Principles of management improve the efficiency of employees.

State with reasons whether the following statements are True or False

Principles of management are rigid.

______ was regarded as the Father of Scientific Management. 

Scalar chain means the hierarchy of ______ from the top level to the lower level for the purpose of communication.