BCOC-134 · June 2025 · English
IGNOU BCOC-134 June 2025 Previous Year Question Paper
Business Mathematics And Statistics
Structured previous year question paper for BCOC-134, June 2025 session.
Max marks: 100 · Questions: 8
Verified: 29 Jul 2026
BACHELOR OF COMMERCE
(GENERAL) [B. COM.
(G)]
Term-End Examination
June, 2025
BCOC-134 : BUSINESS MATHEMATICS AND
STATISTICS
Time : 3 Hours Maximum Marks : 100
Note:
(i) Question No. Lis compulsory.
(ii) Attempt both Part A and Part B as
directed.
(iii) All questions carry equal marks.
example for each: 10
G@) Diagonal matrix
Gi) Scalar matrix
(ii) Unit matrix
(iv) Transpose of a matrix
(v) Inverse of a matrix
(b) Define the word ‘Statistics’. Write in
brief the uses and misuses of Statistics.
Part—A
Note: Attempt any two questions from this
Part.
Q1.(a) Three shopkeepers A, B and C go toa store to buy stationery. A purchases 12 dozen note books, 5 dozen pens and 6 dozen pencils. B purchases 10 dozens notebooks, 6 dozen pens and 7 dozen of pencils. C purchases 11 dozen notebooks, 13 dozen pens and 8 dozen pencils. A notebook costs ~ 40, a pen costs ~ 12.50 and a pencil costs = 3.50. Use matrix multiplication to find individual’s bills. 10
(b) Specify the conditions under which a function f (x) is increasing or decreasing. Find the value of x for which f(x) = 2x” —8x+80 is decreasing. 10 Fi dy .
Q2.Find ae for any four from the following : 4x5=20
(a) x®+x°y+xy7 +53 =81 5+ Vx (० y=(2x+I%Qx
(14)
Q3.(a) Find fo g and go f, given f(x) =x? +2 and g(x) = =. 10 x-l1
(b) If demand function of a firm is given by P= 8000—40X-X”, find Total Revenue (TR) and Marginal Revenue (MR) and comment on the nature of the firm.
Q4.(a) Explain the differences between simple interest and compound interest with examples. If principal is = 10,000; time is 5 years and rate of interest is 10%, calculate simple interest and compound interest. 10
(b) Explain the meaning of ‘present value’ and ‘equation of value’ with suitable example for each. 10 Part—B Note: Attempt any two questions from this Part.
Q5.What is Simple Linear Regression ? Explain the different properties of regression coefficients.
Q6.For two firms A and B, the following details are given: 20 Firm A | Firm B Number of employees 100 200 Average Salary (%) 16,000 | 18,000 Standard Deviation (®) 160 180 (@) Which firms pays larger total salary ?
(i) Which firms shows greater variability in the distribution of salary ?
(ii) Compute the combined average salary and combined variance of both the firms.
Q7.What is Index number ? Explain different types of Index numbers. Also explain the problems in the construction of Index number.
Q8.Below are given the figures of production (in thousand kilograms) of a sugar factory: 20 Year Production 2017 17 2018 88 2019 94 2020 85 2021 56
(0) Fit a straight line trend using method of least squares.
(i) Find out the trend value for the year
Q9.2025. asa 4x5=20
(क) xv +x7y4 ay? +5? =81 ys 5+Ve
(A) y= 3 ove (BS) y=(2x +1)? (Qx-1)4 (variability) <atdt & ? 2017 77 2018 88 2019 94 2020 85 2021 56
(ख) aH 2025 & fra vata Fes (trend value) Wt