St. Joseph’s College of Commerce B.B.M. 2014 I Sem Business Mathematics And Statistics Question Paper PDF Download

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  1. JOSEPH’S COLLEGE OF COMMERCE (AUTONOMOUS)

END SEMESTER EXAMINATION – OCTOBER 2014

B.B.M. – I SEMESTER

 BUSINESS MATHEMATICS AND STATISTICS

Duration: 3 Hours                                                                                           Max. Marks: 100

SECTION – A

  1. Answer ALL the questions. Each carries 2 marks.                                       (10 x2 =20)

 

  1. Statistics has been referred to as the science of universal applicability, explain.
  2. What are positional averages? Give a brief description of two such averages.
  3. 20 men can do a job in 90 days. How many days are needed for 30 men to do the same job?
  4. What are the essentials of a good graph?
  5. Monthly incomes of A and B are in the ratio of 4 : 5 and their monthly expenses are in the ratio of 7 : 9. Their savings are in the ratio 4 : 3.  If the total savings are Rs. 350, find their monthly incomes.
  6. Distinguish between Mean Deviation and Standard Deviation.
  7. The cash price of a machine is Rs. 11,400. The trade discount and cash discount are 20% and 5% respectively.  Find its List Price.
  8. Define correlation. Give its significance.
  9. In an examination 70% of the candidates passed in English, 65% in Mathematics, 27% failed in both subjects and 248 passed in both subjects. Find the total number of candidates.
  10. The mean age of 40 students is 16 years and the age of other 60 students is 20 years. Find the mean age of all the 100 students taken together.

 

SECTION – B

 

  1. Answer any FOUR Each carries 5 marks.                                 (4×5=20)

 

  1. Present the following information in a suitable tabular form:

In 2005 out of total 2000 workers in a factory, 1550 were members of a trade union.  The number of women workers employed was 250, out of which 200 did not belong to any trade union.  In 2010, the number of union workers was 1725 of which 1600 were men.  The number of non-union workers was 380, among which 155 were women.

 

 

  1. Calculate mode from the following data:
X: 0-5 5-10 10-20 20-30 30-40 40-50 50-60 60-70
f: 128 150 520 464 398 324 178 44

 

  1. Solve by factors: 6x2 – x – 35 = 0
  2. Find the principal for which the difference of simple interest and compound interest for 2 years is Rs. 20 at 4% p.a.

 

  1. Solve: 3/(x2 – 4) + 2/(x + 2) = 1/(x – 2).

 

  1. A family spends the following percentage of expenditure on different commodities, prepare circular diagram for these expenditures:

Items of Expenditure                                   % to Total

Food                                                               60

Clothing                                                         12

Housing                                                         10

Fuel and Lighting                                          8

Others                                                                        10

Total                                                             100

 

  1. Eight students have obtained the following marks in Hindi and Economics. Calculate the Rank Co-efficient of Correlation.
Hindi 25 30 38 22 50 70 30 90
Economics 50 40 60 40 30 20 40 70

 

 

SECTION – C

 

III)      Answer any THREE questions.    Each carries 15 marks.                    (3×15=45)

 

  1. Discuss the characteristics and limitations of Statistics.
  2. Mr. Shan desires to set up an endowment fund to provide for a prize of Rs. 500 every year. If the fund can be invested at 8% p.a. compound interest, find the amount of endowment.            (12+3)

 

  1. A company intends to create a fund to replace, at the end of the 25th year, asset costing Rs. 1,00,000. Calculate the amount to be retained out of profits every year, if interest rate is 3%.

 

 

  1. Calculate the Quartile Deviation and its Coefficient from the following data:
Marks 0-10 10-20 20-30 30-40 40-50
No. of Students 4 15 28 16 7

(5+10)

 

  1. The following table gives the soil temperature and the germination time at various places.
Temperature 45 70 65 30 90 40 50 75 85 60
Germination 35 90 70 40 95 40 60 80 80 50

Calculate Karl Pearson’s Coefficient of Correlation and interpret the value.  Also determine if the value of r is significant or not?

 

  1. The perimeter of a rectangular carpet is 38 meters and its area is 84 sq. cm. Find its dimensions.

 

  1. Calculate Standard Deviation from the following data:
Marks 12 14 16 18 20 22 24
No. of Students 6 12 18 26 16 10 8

(5+10)

  1. Given a bivariate data:
X 2 6 4 3 2 2 8 5
Y 7 2 1 1 2 3 2 6
  1. Fit the regression line of Y on X and hence predict Y, if X = 20
  2. Fit the regression line of X on Y and hence predict X, if Y = 5.

 

SECTION – D

 

  1. IV) Case study- Compulsory questions. (15 marks)
  2. There are two numbers such that the sum of the first and three times the second is 53, while the difference between 4 times the first and twice the second is 2. Find the numbers.

 

  1. Find the missing frequency when median is given to be 28:
X 0-10 10-20 20-30 30-40 40-50
f 5 8 ? 16 6

 

Also represent Median in a graph using only the Less Than Ogive.

                                                                                                             (5+10)

 

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