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# Business Statistics & Mathematics B Com Part 1 Guess Paper 2015

## Business Statistics & Mathematics B Com Part 1 Guess Paper 2015

B.Com Part 1 Business Statistics & Mathematics Important Questions with Different variations 2015

Note: All published material contains an informatory data which is only gathered for educational purpose. These guesses are prepared after detailed analysis of past five years exams. Our entire team and/or publishers are not responsible in case of variation in assumed results and outcomes. However the purposes of attempted efforts are to provide accurate and effective knowledge to the readers, in any case our entire team and/or publishers will not be responsible for the accuracy or misusage of all published material.

## Latest Important Questions for 2016

Question # 1

Weights of 175 male students at a university are given in the following frequency table:

Weight 118-126          127-135           136-144           145-153           154-162           163-171

Frequency 20             35                    49                    32                    25                    14

Calculate: Karl Pearson’s and Bowley’s Coefficient of skewness.

Or

Wages Rs.      No. of workers’         Wages Rs       No of workers

117-124                       13                    145-152                       56

124-131                       17                    152-159                       73

131-138                       33                    159-166                       81

138-145                       47                    166-173                       65

173-180                       55

180-187                       40

187-194                       20

Required: Calculate Arithmetic Mean, Harmonic Mean, Standard Deviation and Co-efficient of variation

Or

The mid-values of a frequency distribution are given as:

Mid value       115      125      135      145      155      165      175      185      195

Frequency      6          25        48        72        116      60        38        22        2

Calculate:

(i) A.M

(ii) Mode

(iii) Coefficient of Skewness

Question # 2

X:        16, 72, 73, 63. 83. 80. 66, 66, 74, 62

Y:        40, 52, 43, 49, 61, 58, 44, 58, 50, 45

Required: Calculate coefficient of correlation and comment on the answers.

Or

The number of units produced by a process (x) and the cost of producing unit (y) were made as:

Find:

(i) The coefficient of correlation

(ii) The regression equation of y on x

Question # 3

Test for Association

A1       A2       A3

B1       20        15        30

B2       30        1B       35

B3       35        20        40

(Tabulated value .of chi-square for 4 degrees of freedom at 5% level of significance = 9.488)

Or

Test independence of two classifications in the following contingency table at 5% level of significance:

Attributes                   A1                   A2                   A3                   A4

B1                               42                    72                    72                    72

B2                               33                    62                    82                    64

B3                               37                    121                  93                    90

(The table value of Chi-Square is 12.59)

Or

A survey of 1600 families was conducted to observe that high and low income people send their children to private and government school. The following results were obtained:

School

Income            Private                                    Government               Total

High                494                                                      506                               1, 000

Low                 162                                                      438                                   600

Total                656                                                      944                               1, 600

Test whether income and type of school are independent at 5% level of significance. (Table value is 3.84)

Question # 4

A population consists of six numbers 3, 6. 9. 12, 15, and 18. Consider all possible samples of size three numbers, which can be drawn without replacement from this population.

Find:

(i)The mean of the population

(ii) The standard deviation of the population.

(iii) The mean of the sampling distribution of the means.

(iv) The standard error

Question # 5

Construct index no for 2002 from the following data taking 2000 as base using

(i) Laspeyre’s Index Number

(ii) Paasche’s Index Number

(iii) Fisher’s Index Number.

Commodity                            2000                                        2002

A                                 Price                Quaintly          Price                Quantity

B                                 5                      100                  6                      120

C                                 7                      120                  10                    80

D                                 10                    80                    12                    80

E                                  4                      50                    5                      60

F                                  8                      70                    8                      80

Or

The following data gives the prices and quantities of various commodities for the year 1995 and 2002:

Prices (Rs. Per quintal)          Quantities (1000 of quintals)

Commodity Prices (Rs. Per Quintal)             Quantities (1000 of Quintals)

1995                2002                            1995                2002

A                     60                    80                                270                  290

B                      40                    45                                125                  140

C                      20                    25                                130                  140

D                     55                    70                                270                  350

Calculate weighted index number of prices for the year 2002 by taking the year 1995 as base year and using formulae recommended by Laspeyre, Fisher, Paache’s and Marshall.

Or

Construct index number of Prices with the help of following data by:

(a) Laspeyr’s

(b) Paasche’s

(c) Fisher’s

(d) Marshall Edgeworth Formulae

Commodity                            Base Year                                           Current Year

Price               Quantity                     Price               Quantity

A                                 6                      140                              8                      150

B                                 10                    160                              12                    180

C                                 16                    80                                20                    110

D                                 20                    100                              24                    120

Or

Compute index number for 2012 from the following taking 2008 as the base and using formulae recommended by:

(i) Lasperyre’s

(ii) Paasche’s

(iii) Marshall’s and

(iv) Fisher’s

A                                             B                                             C

Year                Price               Qty                  Price               Qty                  Price               Qty

2008                5.0                   80                    3.6                   90                    3.1                   20

2012                8.7                   100                  5.7                   95                    4.6                   30

Question # 6

If

Calculate: (i) A – 3B (ii) AB

Or

Or

Question # 7

Solve the following simultaneous equations

2x + y = – 7

3x+2y = -12

Or

Solve the quadratic equation 6×2 – 5x – 6 =0

Or

Solve the following: X2 + 5x = 50

Or

Solve for X the equation:

Or

Solve the following system of equations:

9x + 15y = 123

15x + 93y = 201

Or

Solve for x and y:

4x – 3y = 10

5x -7y = 6

Question # 8

The 54th and 4th terms of an A.P are -61 and 64 respectively. Show that the common difference is – 2.5 and 23 term is 16.5.

Or

The first term, of an AP is 5, the last term 45 and the sum 400. Find number of terms and common difference in the series.

Or

Show that the sum of the series

0.53 + 0.0053 + — 53 + 0.000053 +…… to infinity is 53/99

Or

Show that the sum of geometric series of 6 terms;

1/3, -1/9, 1/27, -1/81 …………… is 182/729

Question # 9

Find out the compound amount and compound interest at the end of 3 years on a sum of Rs 20, 000, borrowed at 6 % compounded annually

Or

A 90 days Rs. 4, 000. 7% interest bearing note dated April 4, was discounted on May 4, at a discount rate of 8%. What was the discounted value of the note? (Take 360 days in the year)

Or

Mohsin had it note tor Rs. 1.5000 with an interest rate of 6%. The note an, dated January 12, 2003 and maturity date was 90 days after date On January 27, 2003, he took the note to his bank, loch discounted it at a discount rate of 7%. How much .did he receive? (Take 360 days in the year)

Or

A property changed hands 3 times and at each time the loss to the seller was 10%. If in the last transaction the loss was Rs. 202.50. Find out the original value of the property.

Or

The difference between the simple and compound interest on a certain sum is Rs. 31 for three years at 10% p.a. Find out the sum.

Or

A company offers two alternatives for the payment of salary for the post of a high executive.

Either one may receive Rs.2,40, 000 per year or Rs. 100 in the first month, Rs.200 in the second month, Rs.400 in the third month and so on. Which of the two alternatives should he prefer?

Or

Find the compound interest on Rs.4500 in 3 years. If the rate of interest is 4% for the 1st year, 5% for the 2nd year and 6% for the 3rd year

Or

Find the accumulated value of Rs. 5, 000 invested at the end of each quarter for 5 years at 8% compounded quarterly.

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