The document presents a quantitative methods exam for an international business school, comprising multiple questions on topics such as arithmetic progressions, rainfall averages, median calculations, and statistical estimates based on given data. It involves problem-solving related to averages, normal distributions, and index number construction. Each question carries equal marks and all questions are compulsory.

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AEREN FOUNDATION’S Maharashtra Govt. Reg. No.: F-11724
NAME :
(NAME TO APPEAR ON THE CERTIFICATE)
REF NO :
COURSE :
SUBJECT:
AN ISO 9001:2008 CERTIFIED INTERNATIONAL B-SCHOOL
Quantitative Methods

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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