BCOC-134 · December 2020 · English

IGNOU BCOC-134 December 2020 Previous Year Question Paper

Business Mathematics And Statistics

Structured previous year question paper for BCOC-134, December 2020 session.

Max marks: 100 · Questions: 7

Verified: 29 Jul 2026

BACHELOR OF COMMERCE (GENERAL)

(BCOMG)

Term-End Examination

February, 2021

BCOC-134 : BUSINESS MATHEMATICS AND

STATISTICS

Time : 3 hours Maximum Marks : 100

Note:

(i) Attempt both parts A and B.

(ii) Simple calculators (non-programmable and

non-scientific) are allowed.

PART A

(Business Mathematics)

Attempt any two questions from the following.

All questions carry equal marks.

Q1.(a) What do you mean by simple interest and compound interest ? Explain the concepts with hypothetical example. 15

(b) Explain nominal and effective rates of interest with example.

Q2.(a) What are the different types of matrices ? Explain with examples. 15

(b) Suppose Mr. X has two factories at places A and B. Each factory produces sports shoes for boys and girls in three different price categories labelled 1, 2 and 3. Matrices of quantity produced by each factory are represented below : Factory A Factory B Boys Girls Boys Girls 1/80 60 1/

(90)

Q3.75 65 2|70 55 3 | 90 85 3 | 75 75 Calculate the total production of sports shoes in each price category.

Q4.(a) LetA -1 3 OJ, then find out det

(A). 10 4 10 x? — 25

(b) Find lim _ f{x) where f(x) = ———_. 15 x35 x

(5)

Q5.(a) Find 2 when y = (2x2 — 6) (3x? + 8). 15

(b) Differentiate between Price elasticity, Income elasticity and Cross elasticity of demand. Give suitable example to support your answer. 10 BCOC-134 2 PART B (Business Statistics) Attempt any two questions from the following. All questions carry equal marks.

Q6.(a) Find out the missing frequency in the following table, if mean is 30. 10 Class Frequency 4-60

(b) From the results of two colleges ‘A’ and ‘B’ given below, find out weighted mean, and state which of them is better. 15 College A College B Class Appeared. Appeared.

Q7.(a) Differentiate between Descriptive and Inferential statistics. 5

(b) Explain functions and importance of Statistics.

Q8.(a) Calculate Standard Deviation from the following data : 10 25 | 34 | 48 | 36 | 42 | 70 | 30 [60 | 45 | 50

(b) Calculate the trend values by least squares method from the following data and estimate the sales for the year 2000. 15 Year 1994 | 1995 | 1996 | 1997 | 1998 | 1999 Sales 120 | 140 | 150 | 170 | 180 | 200 (= Lakh) [120/40 | 150} 370 | 10 |

Q9.(a) Discuss various preliminary adjustments that are necessary to do before analysing a time series data. 10

(b) Compute Fisher’s ideal index from the data given below and show that it satisfies the time reversal and factor reversal tests. 10+2+3 Base Year Current Year Cc dit: BCOC-134 4 1 [80 60 1[90 50 9 | 75 65 9170 5B 3|90 85 3 [75 15 124 4 10 . 2 _95 x35 x-5 BCOC-134 6 25 | 34 | 48 | 36 | 42 | 70 | 30 [60 | 45 | 50 वर्ष 1994 | 1995 [1996 | 1997 | 1998 [1999 (area =)