# IGNOU BCOC-134 QUESTION PAPER WITH SOLUTION FOR EXAM PREPARATION

1. Calculate the coefficient of rank correlation from the following data:-
Roll no. of Students : 1     2     3    4     5     6     7      8      9    10    11   12
Marks in X :                  60     34  40  50  45   41   22   43   42   66   64   46
Marks in Y :                  75     32  34  40  45   33   12   30   36   72    41   57

2. For two firms A and B belonging to same industry, the following details are available :

Firm A              Firm B

Number of Employees : 100                  200
Average monthly wage : Rs. 4,800    Rs. 5,100
Standard deviation : Rs. 600                Rs. 540
Find
(a) Which firm pays larger amount as wages?
(b) Which firm shows greater variability in the distribution of wages?
(c) Find combined average monthly wage and the standard deviation of the wages of all the employees in both the firms.

3. Explain the types of Algebraic functions with examples.

4. What do you understand by a minor and cofactor of a square martrix? Explain with examples.

5. Inverse and Composite Function.

6. Additive and Multiplicative model of time series analysis.

7. Explain Input – Output Analysis. What are its assumptions?

8. What is continuous compounding? Explain with the help of an example.

9. Calculate Fishers Ideal Index from the data given below and show that it satisfies the Time
Reversal and Factor Reversal tests.

Base Year                             General Year

Commodity            Quantity             Price        Quantity          Price

A                         12                         10                15                     12
B                         15                          7                 20                       5
C                         24                          5                 20                       9
D                          5                         16                  5                      14

10. Consumer Price Index Number

11. What is a Matrix? Explain the types of matrices with examples.

12. Continous Discount

13. From the following data obtain the two regression equations.
Sales :         91    97    108   121   67     124   51    73   111    57
Purchase : 71    75     69      97    70      91    39    61     80     47

14. The performance of a student in a business school was evaluated as follows. Calculate weighted mean from the given data and distinguish between weighted arithmetic mean and simple arithmetic mean.

Marks Obtained          Weights

Class test                              38                                          10

Presentation                       36                                          15

Attendance                         15                                           05

Class participation          20                                           10

Final examination           55                                           60

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