HSC Commerce (English Medium) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions

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 ______.

The area of the region bounded by the curve y = x², x = 0, x = 3, and the X-axis is ______.

State whether the following statement is true or false.

If `int (4e^x - 25)/(2e^x - 5)` dx = Ax – 3 log |2e^x – 5| + c, where c is the constant of integration, then A = 5.

`int x/((x + 2)(x + 3)) dx` = ______ + `int 3/(x + 3) dx`

Find the area between the two curves (parabolas)

y² = 7x and x² = 7y.

Divide 20 into two ports, so that their product is maximum.

State whether the following statement is true or false:

To convert a maximization-type assignment problem into a minimization problem, the smallest element in the matrix is deducted from all elements of the matrix.