Computer Lab - Practical Question Bank
FACULTY OF COMMERCE, OSMANIA UNIVERSITY
---------------------------------------------------------------------------------------------------------B.Com (All Streams) III Year W.E.F.2010-11
BUSINESS MATHEMATICS - I
Time: 60 Minutes
Record
: 10
Skill Test
: 20
Total Marks : 30
Note: Problems are to be solved by using computers (Excel/Accounting package).
1. Solve the following data using worksheet
n (AUB) = 50, n(A) = 30, n(B) = 20, n(A∩B) = 10, then find n(A-B) and n(B-A).
2. (AUB)UC = AU(BUC) illustrate using Excel.
3. Difference of two sets i.e., (a) A-B (b) B-A Create the Venn diagram using Excel with an
example.
4. Write the steps required to show the union of sets using worksheet.
5. Prove the intersection of sets with imaginary data using Excel.
6. Show the complement of a set (Ac ) using worksheet.
7. With an illustration draw the Venn diagram using Excel.
AU(B∩C) = (AUB) ∩ (AUC)
8. Draw the disjoint sets using computer with an example.
9. Construct the Venn diagram using Excel for the following data.
n (µ) = 400, n(T) = 240, n(E) = 200, n(T∩E) = 130, calculate n(TUE) and n(TUE)c
10.Solve the following data using worksheet.
n (T) = 150, n(TUC) = 300, n(T-C) = 90 find n( C ).
11. In Excel show that if a1/3 + b 1/3 +c1/3 = 0 then (a+b+c)3 = 27abc.
12. Use worksheet to solve for x , if 3.9x - 28.3x +9 = 0.
13. Simplify using Excel.
(a) 2n-1 .4n .82n-3 / (64) n-3. (32) n-1
(b) a2/3 . a-1/5 / a2/4 (b2)-1/4
(c)5 2x+3 . 10 4x+1/ 25 3x+2. 16 x-1/2
14. Calculate the 20th term in A.P whose 3rd term is 18 and the 7th term is 30 using Excel.
15. Find the sum of 12 terms of an A.P, when a = 100 and d = -10 using worksheet.
16. How many terms of the series 1+3+9+27+…… will sum upto 9841? Workout using Excel.
17. Which term of the series 1+35/29 + 35/23 +…..is 7 using Excel?
18. The sum of three consecutive numbers in A.P is 18 and their product is 192. Find the
numbers using Excel.
19. Insert three G.M’s between 480 and 60 use worksheet.
20. Find the interest on Rs 1000 for 7 years at 5% per annum compound
interest using Excel.
21. Use Excel find P2 with an illustration.
22. Evaluate the determinant of a 3x3 matrix with an imaginary data using worksheet.
23. Find the inverse of the matrix with an example using Excel.
24. Compute (A+B) and (A-B) using Excel with an illustration.
25. Show that 2A+B+4X = 0 using Excel.
26. Calculate A2-5A+9I, illustrate using worksheet.
1
27. Use Excel to illustrate the ad joint matrix.
28. How to compute the multiplication of 3x3 matrix using Excel.
29. Use Excel to solve the matrix method
3x-2y+4z=8, 2x+y-z=1, 4x-3y+2z = 4.
30. Take an example to calculate the addition and subtraction of 3x3
matrices using worksheet.
31. Calculate the probability of picking a card of heart or a spade from a pack of cards using
Excel.
32. If A and B are mutually excusive events and P(A)=0.3 and P(B) = 0.5, find (1) P(AUB) (2)
P(Ac) using worksheet.
33. The probabilities that a girl student gets a scholarship is 0.6 and a boy student gets is 0.8.
What is the probability that at least one of them gets the scholarship using Excel?
34. A pair of dice is rolled. If the sum on the two dice is 9, find the probability that one of the
dice showed 3, using worksheet.
35. If P(A) = 3/8, P(B) = 5/8 and P(AUB) = 3/4, compute P(A/B) and P(B/A) using Excel.
36. What is the probability that a leap year has 53 Sundays using worksheet?
37. A coin is tossed thrice; check whether the events A and B are independent using Excel.
38. A die is thrown at random. What is the expectation of the number on it using worksheet?
39. A bag contains 4 white and 6 red balls. Two draws of one ball each are made without
replacement. What is the probability that one is red and the other white, using Excel?
40. If P (Ac ∩Bc ) = 1/3, P(A∩B) =1/2 and P(B) = 2P(A) find P(A) using worksheet.
41. Find the binomial distribution if its mean is 48 and the standard deviation is 4 using Excel.
42. For a normal distribution in which N = 100 the AM is 40 and SD is 8
Calculate (1) Q1 (2) Q3 and (3) Q3-Q1 using worksheet.
43. In a Poisson distribution, the probability of 0 successes is 10%. Find the mean of the
distribution using Excel.
44. The mean of a binomial distribution is 20 and SD is 4 . Use Excel to calculate n, p, q values.
45. Draw a normal curve using worksheet.
46. The following mistakes per page were observed in a book. Fit a Poisson distribution using
Excel.
No. of mistakes per page
0
1
2
3 4
No. of times the mistake occurred 211 90 19 5 0
47. Fit a binomial distribution to the following data .Show the number of seeds germinating out
of 10 on damp filter for 80 set of seeds using Excel.
X
0
1
2
3
4
5
6
7
8
9
10
F
6
20
28
12
8
6
0
0
0
0
0
48. In a distribution exactly normal, 7% of the items are under 35 and 89% are under 63. What
are the mean and standard deviation of the distribution using worksheet?
49. Explain the steps required to fit a Poisson distribution through Excel with an example.
50. Use Excel to fit a binomial distribution with an imaginary data.
*****
2