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

‘r’ is regression coefficient of Y on X

State whether the following statement is True or False.

b_yx is correlation coefficient between X and Y

State whether the following statement is True or False.

If u = x - a and v = y - b then b_xy = b_uv 

State whether the following statement is True or False.

If u = x - a and v = y - b then r_xy = r_uv 

The Cost of Living Index Number using Weighted Relative Method is given by ______

The Assignment Problem is solved by ______.

To use the Hungarian method, a profit maximization assignment problem requires ______.

Choose the correct alternative :

Using Hungarian method the optimal assignment obtained for the following assignment problem to minimize the total cost is:

Fill in the blank :

For solving an assignment problem the matrix should be a _______ matrix.

Fill in the blank :

In Hungarian Method, only _______ task can be assigned to each facility.

State whether the following is True or False :

The Hungarian method operates on the principle of matrix reduction, whereby the cost table is reduced to a set of opportunity costs.

State whether the following is True or False :

Optimal assignments are made in the Hungarian method to cells in the reduced matrix that contain a zero.

State whether the following is True or False :

Using the Hungarian method, the optimal solution to an assignment problem is found when the minimum number of lines required to cover the zero cells in the reduced matrix equals the no of persons.

Choose the correct alternative:

Negation of p → (p ˅ ~q) is

Choose the correct alternative:

A biconditional statement is the conjunction of two ______ statements

State whether the following statement is True or False:

The converse of inverse of ~ p → q is q → ~ p

Negation of “Some men are animal” is ______.

Write the negation of the statement “An angle is a right angle if and only if it is of measure 90°”

Write the following statements in symbolic form.

If Qutub – Minar is in Delhi then Taj-Mahal is in Agra

Choose the correct alternative:

The function f(x) = x³ – 3x² + 3x – 100, x ∈ R is