QUANTITATIVE METHODS ISBM EMBA MBA ONGOING EXAM ANSWER SHEETS PROVIDED WHATSAPP 91 9924764558
CONTACT:DR. PRASANTH MBA PH.D. DME MOBILE / WHATSAPP: +91 9924764558 OR +91 9447965521 EMAIL: prasanththampi1975@gmail.com WEBSITE: www.casestudyandprojectreports.com
Quantitative Methods
Page 1 Out of 1
Total Marks: 80
Note : All Questions are Compulsory
Each Question Carries Equal Marks
1. Three numbers, whose sum is 12, are in AP. If 1,2 and 6 are added to them, the resultin g
numbers are in GP. Find the numbers
2. Average rainfall on a city from Monday to Saturday is 0.3 inch. Due to heavy rainfall on
Sunday, the average rainfall for the week increased to 0.5 inch. What was the rainfall on
Sunday?
3. Calculate median from the following data
Marks 10-25 25-40 40-55 50-70 70-85 85-100
Frequency 6 20 44 26 3 1
4. Given the following results of the height and weight of 1000 students. The mean height is 170
cm, the mean weight is 75 kg. the standard deviation of the height and weight are 6 cm and 6
kg respectively r = 0.6. amit weighs 50 kg, sumeet is 1.5 m tall. Estimate the height of Amit
from his weight and the weight of sumeet from his height
5. In a sample of 500 people from a village in rajasthan, 280 are found to be rice eaters and rest
wheat eaters. Can we assume that both the food articles are equally popular?
6. In a binomial distribution 31% of the items are under 45 and 8% are over 64. Find the mean
and variance of the distribution
7. In a large number of group of children 55% are under 60 cm heighty nd 40% are between 60
and 65 cm. Assuming a normal distribution, find the mean and SD of height
8. Construct index number form the data by applying Marshall edge worthmethod
Commodity Price 2004 Quantity Price 2006 quantity
A 2 8 4 6
B 5 10 6 5
C 4 14 5 10
D 2 19 2 13
Research Methodology
Total Marks: 80
Note : All Questions are Compulsory
Each Question Carries Equal Marks 10 Marks
1. The monthly income of two persons are in the ratio 4:5 and their monthy expenditures are
in the ratio 7:9. If each saves rs. 50 per montrh, find their monthly incomes.
2. A tour operator charges rs. 136 per passenger for 100 passengers with a discount of rs. 4
for each 10 passengers in excess of 100. Determine the number of passengers that will
maximize the amount of money the tour operator services.
3. A firm has current sales of rs. 50000 e0.02t per month. The firm wants to embark upon a
certain advertising campaign that will increase the sales by 2% every month over the 12
months period ofcampaign. Find total increase of sales as a result of the campaign.
4. There are two branches of an establishment employing 200 and 160 persons respectively.
If the AMs of the monthly salaries paid by the two branches are rs. 550 and rs. 450
respectivvely, find AM of the salaries of the employees of the establishment as a whole.
5. Calculate the median for the following frequency distribution
Marks 5-10 10-15 15-20 20-25 25-30 30-35 35-40 40-45 45-50
No of
students
7 15 24 31 42 30 26 15 10
6. For the cost function y = 500x - 40x2 + 3x3 for x units, find the average cost, marginal
cost and marginal average cost.
7. A man borrows rs. 1500 and agrees to repay the debt in 5 equal instalmenst with 6%
interest, compounded annually. If the first payment is to be made at the end of the first
year, how much should each payment be?
8. A manufacturer can sell x items per month at a price of P = 300 – 2x rupees. Producing x
items cost the manufacturer y rupees where y = 2x + 1000. How much production will
yield maximum profit.
CONTACT:DR. PRASANTH MBA PH.D. DME MOBILE / WHATSAPP: +91 9924764558 OR +91 9447965521 EMAIL: prasanththampi1975@gmail.com WEBSITE: www.casestudyandprojectreports.com
Quantitative Methods
Page 1 Out of 1
Total Marks: 80
Note : All Questions are Compulsory
Each Question Carries Equal Marks
1. Three numbers, whose sum is 12, are in AP. If 1,2 and 6 are added to them, the resultin g
numbers are in GP. Find the numbers
2. Average rainfall on a city from Monday to Saturday is 0.3 inch. Due to heavy rainfall on
Sunday, the average rainfall for the week increased to 0.5 inch. What was the rainfall on
Sunday?
3. Calculate median from the following data
Marks 10-25 25-40 40-55 50-70 70-85 85-100
Frequency 6 20 44 26 3 1
4. Given the following results of the height and weight of 1000 students. The mean height is 170
cm, the mean weight is 75 kg. the standard deviation of the height and weight are 6 cm and 6
kg respectively r = 0.6. amit weighs 50 kg, sumeet is 1.5 m tall. Estimate the height of Amit
from his weight and the weight of sumeet from his height
5. In a sample of 500 people from a village in rajasthan, 280 are found to be rice eaters and rest
wheat eaters. Can we assume that both the food articles are equally popular?
6. In a binomial distribution 31% of the items are under 45 and 8% are over 64. Find the mean
and variance of the distribution
7. In a large number of group of children 55% are under 60 cm heighty nd 40% are between 60
and 65 cm. Assuming a normal distribution, find the mean and SD of height
8. Construct index number form the data by applying Marshall edge worthmethod
Commodity Price 2004 Quantity Price 2006 quantity
A 2 8 4 6
B 5 10 6 5
C 4 14 5 10
D 2 19 2 13
Research Methodology
Total Marks: 80
Note : All Questions are Compulsory
Each Question Carries Equal Marks 10 Marks
1. The monthly income of two persons are in the ratio 4:5 and their monthy expenditures are
in the ratio 7:9. If each saves rs. 50 per montrh, find their monthly incomes.
2. A tour operator charges rs. 136 per passenger for 100 passengers with a discount of rs. 4
for each 10 passengers in excess of 100. Determine the number of passengers that will
maximize the amount of money the tour operator services.
3. A firm has current sales of rs. 50000 e0.02t per month. The firm wants to embark upon a
certain advertising campaign that will increase the sales by 2% every month over the 12
months period ofcampaign. Find total increase of sales as a result of the campaign.
4. There are two branches of an establishment employing 200 and 160 persons respectively.
If the AMs of the monthly salaries paid by the two branches are rs. 550 and rs. 450
respectivvely, find AM of the salaries of the employees of the establishment as a whole.
5. Calculate the median for the following frequency distribution
Marks 5-10 10-15 15-20 20-25 25-30 30-35 35-40 40-45 45-50
No of
students
7 15 24 31 42 30 26 15 10
6. For the cost function y = 500x - 40x2 + 3x3 for x units, find the average cost, marginal
cost and marginal average cost.
7. A man borrows rs. 1500 and agrees to repay the debt in 5 equal instalmenst with 6%
interest, compounded annually. If the first payment is to be made at the end of the first
year, how much should each payment be?
8. A manufacturer can sell x items per month at a price of P = 300 – 2x rupees. Producing x
items cost the manufacturer y rupees where y = 2x + 1000. How much production will
yield maximum profit.
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