HSC Commerce (English Medium) इयत्ता १२ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

 Which component of time series refers to erratic time series movements that follow no recognizable or regular pattern?

Choose the correct alternative:

The following trend line equation was developed for annual sales from 1984 to 1990 with 1984 as base or zero year.

Y = 500 + 60X (in 1000 ₹). The estimated sales for 1984 (in 1000 ₹) is

Choose the correct alternative:

An overall upward or downward pattern in an annual time series would be contained in which component of the times series?

______ components of time series is indicated by a smooth line

______ component of time series is indicated by periodic variation year after year.

State whether the following statement is True or False: 

Seasonal variation can be observed over several years

Cyclical variation can occur several times in a year.

Choose the correct alternative: 

The Cost of Living Index Number by Aggregate Expenditure Method is same as

The Cost of Living Index Number by Aggregate Expenditure Method is given by ______

Calculate the Cost of Living Index Number for the following data.

Given the following table, find the Cost of living Index Number using Aggregate Expenditure Method by completing the activity.

Therefore, Cost of Living Index using Aggregate Expenditure method is

CLI = `(sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx square`

= `square/square xx 100`

= `square`

Choose the correct alternative:

The cost matrix of an unbalanced assignment problem is not a ______

An unbalanced assignment problems can be balanced by adding dummy rows or columns with ______ cost

A ______ assignment problem does not allow some worker(s) to be assign to some job(s)

State whether the following statement is True or False:

To convert the assignment problem into maximization problem, the smallest element in the matrix is to deducted from all other elements

Find the assignments of salesman to various district which will yield maximum profit

For the following assignment problem minimize total man hours:

Subtract the `square` element of each `square` from every element of that `square`

Subtract the smallest element in each column from `square` of that column.

The lines covering all zeros is `square` to the order of matrix `square`

The assignment is made as follows:

Optimum solution is shown as follows:

A → `square, square` → III, C → `square, square` → IV

Minimum hours required is `square` hours

Use quantifiers to convert the following open sentence defined on N, into a true statement.

3x - 4 < 9

`int 1/sqrt(x^2 - 9) dx` = ______.

The slope of a tangent to the curve y = 3x² – x + 1 at (1, 3) is ______.