IGNOU| BUSINESS MATHEMATICS AND STATISTICS (BCOC - 134| QUESTION PAPER – (DEC - 2023)| B.COM| ENGLISH MEDIUM
BACHELOR OF COMMERCE
(GENERAL) [B. COM. (G)]
Term-End Examination
December - 2023
BCOC-134
BUSINESS MATHEMATICS AND STATISTICS
Time: 3 Hours
Maximum Marks: 100
Note: Question No. 1 is compulsory. Attempt both Part
A and Part B. All questions carry equal marks.
1. (a) Explain the following matrix with examples: 10
(i) Identity
Matrix
(ii) Rectangular
Matrix
(iii) Orthogonal
Matrix
(iv) Scalar
Matrix
(v) Transpose of
Matrix
(b) Discuss
the limitations of statistics. 10
Part—A
Note: Answer any two of the following questions.
2. Solve by Cramer’s rule: 20
2x - y = 17
and 3x + 5y = 6
3. Find all the points of local maxima and minima and the
corresponding maximum and minimum values of the function: 20
f (x) = 2x3
- 21x2 + 36x - 20
5. How long would it take for a principal P to be double if
rate of interest is 6% per annum compounded annually? 20
(log 2 = 0.3010,
log (1.06) = 0.0253)
Part—B
Note: Attempt any two of the following questions.
6. Explain various measures of central tendency with their
merits, demerits and use. 20
7. For the following data, calculate the coefficient of
rank correlation: 20
|
X |
Y |
|
80 91 99 71 61 81 70 59 |
123 135 154 110 105 134 121 106 |
8. From the data given ahead find the quantities of different
commodities and then compute Fisher’s ideal price index number: 20
|
Commodities |
Base Year |
Current Year |
||
|
Price per unit |
Expenditure |
Price per unit |
Expenditure |
|
|
A B C D |
2 4 1 5 |
40 16 10 25 |
5 8 2 10 |
75 40 24 60 |
9. Write short notes on the following: 20
(i) Moving
Average Method
(ii) Utility of
Time Series
***
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