BCOC-134 · December 2025 · English
IGNOU BCOC-134 December 2025 Previous Year Question Paper
Business Mathematics And Statistics
Structured previous year question paper for BCOC-134, December 2025 session.
Max marks: 100 · Questions: 9
Verified: 29 Jul 2026
BACHELOR OF COMMERCE
(GENERAL) [B. COM.
(G)]
Term-End Examination
December, 2025
BCOC-134 : BUSINESS MATHEMATICS AND
STATISTICS
Time : 3 Hours Maximum Marks : 100
Note:
(i) Question No. 1 is compulsory.
(ii) Attempt both Part A and Part B as
directed.
(iii) All questions carry equal marks.
Q1.(a) Explain the following terms with example for each : 10
(i) Cost function
(ii) Composite function
(iii) Inverse function
(iv) Demand function
(b) Discuss briefly the importance of statistics in the following disciplines : 10 G@) Business and Management Gi) Accountancy and Auditing Part—A Note : Answer any two questions from this Part.
Q2.(a) Explain the different properties of determinants. 10
(b) Solve the following system of equations by Cramer’s rule : 10 2x + 5y=1 and 38x + 2y=7 Fi dy :
Q3.Find zk for any four from the following : 4x5=20 3 2
(e) x= at? and y = 2at
(0) y=x?.log x
Q4.(a) Find the intervals in which the function fx) given by f(x) = 4x° — 6x? — 72x + 30 is
(i) increasing, and
(ii) decreasing. 10
(b) Find local maxima and local minima values of the function f(x) by using second order derivative : 10 f(x) = 3x4 + 4x3 — 12x? +
(12)
Q5.Write notes on the following : @ Nominal and effective rate of interest 5
(ii) Present value 5
(iii) Types of discounts 10 Part—B Note: Attempt any two questions from this Part.
Q6.What is the meaning of measurement of central tendency ? Explain different measures of central tendency with their merits and demerits.
Q7.Calculate the correlation coefficient from the following data : 20 x y 12 14 9 8 8 6 10 9 11 11 13 12 7 3 What will be correlation coefficient of 2x + 6 and 2y—2?
Q8.What is an Index Number ? What are the different uses of it ? Briefly explain different criteria (tests) for a good index number.
Q9.Fit a linear trend to the following data by the least square method. Also estimate the production for the year 2025 : 20 Year Production (in ’000 tons) 2019 18 2020 21 2021 23 2022 27 2023 16 22+ 8» 51 4x5=20
(A) x? + xy +9? =1
(00)
Q10.2
(a) y=e" te +e% cay ¥=Ver= 3)? +4) CH) y = x9 log x
Q11.(8) afe f(x) =4x° - 6x? —72x 430 SRI feat derivative) I STaM BA We f(x) F fafers (local minima) 4M aa Fife: 10 f(x) = 3x4 + 4x3 — 12x” +12 x y 12 14 9 8 8 6 10 9 11 1 13 12 7 3 Year Production (in ’000 tons) 2019 18 2020 21 20
(21)