Download Subject: Quantitative techniques-1

Commerce Lab - Practical Question Bank
FACULTY OF COMMERCE, OSMANIA UNIVERSITY
----------------------------------------------------------------------------------------------------B.Com (Hons) I-Year W.E.F.2013-14
Subject: Quantitative techniques-1
Time: 60 Minutes
Record
Skill Test
: 10
: 20
Total Marks : 30
Note: Problems are to be solved by using computers (Excel/Accounting package).
1. Solve the equation 2x2-10x+5=0
2. Solve the equation 3x2-14x+11=0
3. For what values of ‘m’ will the equation (m+1) x2 + 2(m+3)x+ (2m+3) = 0
4. Find ‘K’ if the roots of 2x2+3x+k=0 are equal.
5. Find the 10th term of 7th series 3,8,13,18,…
6. Find the sum of the series 7+14+21+… to 20 terms
7. A man saved Rs.16,500 in ten years in each year after the first he saved Rs. 100 more than he
did in the preceding year. How much did he saved in the first year.
8. Find the 6th and 8th terms in the series 4,12,36……
9. Find the simple interest on Rs. 68,000 at 16 2/3% per annum for 9 months.
10. Find compound interest on Rs.7500 at 4% per annum for 2 years compounded annually.
11. If the simple interest on a sum of money at 5% per annum for 3 years is Rs. 1200 find the
compound interest on the same sum for the same period at the same rate.
12. If the cost price is 96% of the selling price then what is the profit percentage.
13. A book was sold for Rs. 27.50 with a profit of 10%. If it were sold for Rs.25.75 then what would
have been the percentage of profit (or) loss?
14. A,B,C started a business by investing Rs. 1,20,000, Rs.1,35,000, Rs.1,50,000 respectively. Find
the share of each out of an annual profit of Rs. 56,700.
15. A man travelled from the village to the post office at the rate of 25dmph and walked back at
the rate of 4kmph. If the whole journey took 5 hours 48 minutes. Find the distance of the postoffice from the village.
16. Draw a simple bar diagram to represent the following figures relating to manufacturing of
machines.
Years
2000 2001 2002 2003 2004
No. of Machines 1200 1700 1900 2800 2100
17. The following table gives the result of B.Com Students of a colleague for four years. Draw a
multiple bar diagram from the following data:
Year First division Second division Third division
1993
10
30
50
1994
12
45
70
1995
14
50
60
1996
11
40
75
18. Draw a percentage bar diagram to represent the following data.
Items of expenditure
Food
Clothing
Rent
Light
Fuel
Expenditure in Rs.
Family A Family B
1600
1200
800
600
600
500
400
200
800
600
19. Create a pie diagram to represent the following data of profits of HLT Ltd.
Years 2002 2003
Profits 5000 10000
2004
25000
2005
2006
30000 20000
20. The following table shows the net revenue earned by railways during Nine years period as
given below:
Year
amount
1990-91 227
1991-92 127
1992-93 403
1993-94 554
1994-95 379
1995-96 270
1996-97 686
1997-98 581
1998-99 721
Draw a line diagram from the above data.
21. Represent the following data of the development expenditure of central governments in India
during 1997-98, 1998-99, 1999-2000 by subdivided bar diagram.
Year
Loans and Advances Capital Revenue Total
1997-98
8601
1998-99
10335
1999-2000 11549
3787
4456
4803
3477
4036
3709
15865
18827
20061
22. The following figures relate to the cost of construction of a house in Delhi.
Item
Cement Steel Bricks Timber Labour miscellaneous
Expenditure 20%
18% 10%
15%
25%
12%
Represent the data by a Pie diagram.
23. Draw the Histogram for the following data
Marks
0-10 10-20 20-30 30-40 40-50 50-60 60-70
No. of Students 20
30
70
50
40
50
40
24. Draw the histogram for the following data:
Marks
10-14 15-19 20-24 25-29 30-34
No. of Students 300
980
800
580
290
25. The following is the distribution of total house hold expenditure (in Rs.) of 202 workers in a
city.
Expenditure 100-150 150-200 200-250 250-300 300-350 350-400
(in Rs.)
Number of
25
40
33
28
30
22
workers
Draw a histogram and a frequency polygon of the above data.
400450
16
450-500
8
26. Find Arithmetic mean for the following figures:
30 41 47 54 23 34 37 51 53 47
27. The following table gives the number of children of 150 families in a village.
No. of Children 0 1 2 3 4 5
No. of families 10 21 55 42 15 7
Find the average member of children per family.
28. Following is the distribution of marks obtained by 60 students in Economics test.
Marks
More than
More than 1
More than
More than
More than
More than
0
0
No. of
60
56
students
Calculate the arithmetic mean.
20
30
40
50
40
20
10
3
29. The number of runs scored by 11 players of a cricket team of a school are
5 19 42 11 50 30 21 0 52 36 27
Find the median
30. Find the median of the following frequency distribution.
X 5 7 9 12 14 17 19 21
F 6 5 3 6 5 3 2 4
31. The following table gives the weekly expenditure of 100 families. Find the median weekly
expenditure.
Weekly expenditure (in Rs.) 0-10 10-20 20-30 30-40 40-50
Number of families
14
23
27
21
15
32. Find the mode from the following data.
12 14 16 18 26 16 20 16 11 12 16 15 20 24
33. Calculate the mode from the following data.
Class
0-10 10-20 20-30 30-40 40-50 50-60 60-70
Frequency
4
13
21
44
33
22
7
34. Calculate Geometric mean from the following data.
10 110 120 50 52 80 37 60
35. Find the Harmonic mean from the following data
X 10 20 40 60 120
F 1 3 6 5 4
36. Find the range and coefficient of range of the weights of 10 students from the following data
41 20 15 65 73 84 53 35 71 55
37. Find the range and coefficient of range of the marks obtained by 100 students.
Marks
0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80
No. of Students 13
8
7
10
11
23
18
10
38. If the first quartile is 104 and quartile deviation is 18. Find the third quartile.
39. Calculate quartile deviation and coefficient of quartile deviation from the following data.
Age in years
20 30 40 50 60 70 80
No. of Members 3 61 132 153 140 51 3
40. Calculate the mean deviation from (i) Mean (ii) Median (iii) Mode in respect of the marks
obtained by nine students given below:
Marks 7 4 10 9 15 12 7 9 7
41. Calculate the mean deviation from mean from the following data. Also find it’s coefficient.
X 5 10 15 20 25 30
F 3 4 8 12 7 2
42. Compute standard deviation from the following data of income of 10 employees of a firm
Income (Rs.) 100 125 130 140 165 170 180 160 145 185
43. Compute standard deviation with the help of assumed mean
Marks
10 20 30 40 50 60
No. of students 8 12 20 10 7 3
44. Find the missing frequency ‘P’ for the following distribution whose mean is 50
X 10 30 50 70 90
F 17 P 32 24 19
45. The data on number of patients attending a hospital in a month are given below. Find the
average number of patients attending the hospital in a day.
Number of patients
0-10 10-20 20-30 30-40 40-50 50-60
Number of days attending the hospital 2
6
9
7
4
2
46. The mean mark scored by 100 students was found to be 40 later on it was discovered that a
score of 53 was misread as 83. Find the correct mean.
47. The median of the observations 8, 11, 13, 15, x+1, x+3, 30,35,40,43 arranged in ascending
order is 22. Find X.
48. The runs scored by two bats men A and B in 9 consecutive matches are given below.
A 85 20 62 28 74 5 69 4 13
B 72 4 15 30 59 15 49 27 26
Which of the batsmen is more consistent?
49. Calculate quartile deviation of the data
Marks
10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90
No. of Students 60
45
120
25
90
80
120
60
50. Find the standard deviation of the data.
Marks
10-20 20-30 30-40 40-50 50-60 60-70 70-80
No. of Students 5
12
15
20
10
4
2
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