Docsity
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Docsity AI
Docsity AI
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search for your university

Find the specific documents for your university's exams

Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

Basic Quantitative Methods Part 5-Quantitative Methods-Exam Paper, Exams of Quantitative Techniques

Dr. Bhim Rao Ambedkar UniversityQuantitative Techniques

This exam paper is for Quantitative Methods. This course is important because of general tests like GRE for further studies. This exam paper includes: Basic, Qualitative, Methods, Expected, Rate, Interest, Period, Linear, Price, Function, Quantity, Profit, Constraints, Matrix, Inversion

Typology: Exams

2011/2012

Uploaded on 09/04/2012

rajput
rajput 🇮🇳

4.7

(7)

39 documents

1 / 3

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
QUANTITATIVE METHODS (MARKS 100)
Module A (3 hours)
Q.1 (a) Find the value of x in the given equation:
xx 168 42 =
− (03)
(b) A gardener has been given the task of digging an area of 800 square
meters. It is expected that he will dig 10 square meters on the first day and
on each successive day he will dig 1.2 times more than the area he dug on
the previous day. Find the number of days the gardener will take to
complete the task. (05)
Q.2 (a) The number of fishes in a lake is expected to increase at a rate of 8% per
year. How many fishes will be in the lake in 5 years if 10,000 fishes are
placed in the lake today? (03)
(b) Shahab has the opportunity to invest in a fund which earns 6% profit
compounded annually. How much should he invest now if he wants to
receive Rs. 6,000 (including principal) from the fund, at the end of each
year for the next 10 years? How much interest he would earn over the
period of 10 years? (06)
Q.3 (a) The average price of an item ‘R’ is directly related to the quantity ordered.
The average price is Rs. 35 when 250 items are ordered and Rs. 55 if only
50 items are ordered. Identify the linear price function and calculate the
price per item if a quantity of 115 is ordered. (04)
(b) A bank has provided two options to an investor:
• 11.1% profit compounded semi-annually.
• 11.0% profit compounded monthly.
Which option would you recommend? (03)
Q.4 (a)
The demand function of an item is; xxP 01.0100)(
−
=
.
Its cost function is; 000,1050)(
+
=
xxC .
Determine the maximum profit that can be earned in the above situation
and the price at which the profit will maximise. (07)
(b)
If
()()
5
2
4
211 +−= xxy ; show that )19()1()1(2 24232 −+−= xxxx
dx
dy (05)
docsity.com
pf3

Partial preview of the text

Download Basic Quantitative Methods Part 5-Quantitative Methods-Exam Paper and more Exams Quantitative Techniques in PDF only on Docsity!

QUANTITATIVE METHODS (MARKS 100)

Module A (3 hours)

Q.1 (a) Find the value of x in the given equation: 8 2 x^ −^4 = 16^ x (03)

(b) A gardener has been given the task of digging an area of 800 square meters. It is expected that he will dig 10 square meters on the first day and on each successive day he will dig 1.2 times more than the area he dug on the previous day. Find the number of days the gardener will take to complete the task. (05)

Q.2 (a) The number of fishes in a lake is expected to increase at a rate of 8% per year. How many fishes will be in the lake in 5 years if 10,000 fishes are placed in the lake today? (03)

(b) Shahab has the opportunity to invest in a fund which earns 6% profit compounded annually. How much should he invest now if he wants to receive Rs. 6,000 (including principal) from the fund, at the end of each year for the next 10 years? How much interest he would earn over the period of 10 years? (^) (06)

Q.3 (a) The average price of an item ‘R’ is directly related to the quantity ordered. The average price is Rs. 35 when 250 items are ordered and Rs. 55 if only 50 items are ordered. Identify the linear price function and calculate the price per item if a quantity of 115 is ordered. (04)

(b) A bank has provided two options to an investor:

  • 11.1% profit compounded semi-annually.
  • 11.0% profit compounded monthly. Which option would you recommend? (03)

Q.4 (a) The demand function of an item is; P ( x )= 100 − 0. 01 x. Its cost function is; C ( x )= 50 x + 10 , 000. Determine the maximum profit that can be earned in the above situation and the price at which the profit will maximise. (07)

(b) If^ (^ ) (^ )

2 4 2 5 y = x − 1 x + 1 ; show that = 2 x ( x^2 − 1 )^3 ( x^2 + 1 )^4 ( 9 x^2 − 1 ) dx

dy (05)

Q.5 (a) Sketch the feasible region and identify the redundant constraint from the following set of inequalities: x + y ≤ 6 5 x + 3 y ≤ 15 x ≤ 2 x , y ≥ (^0) (05)

(b) Solve the following system of equations by matrix inversion method: 2 x − y + 3 z = 7 x + 3 y − z = 8 x + y − 4 z = (^1) (09)

Q.6 (a) Following are the ages of nine employees of an insurance company: 47, 28, 39, 51, 33, 37, 59, 24, 33 (i) Find the values of the first and the third quartile. (ii) Calculate the quartile deviation. (03)

(b) The mean annual salary of all employees in a company is Rs. 150,000. The mean annual salary of male and female employees is Rs. 162,000 and Rs. 102,000 respectively. Find the percentage of male and female employees in the company. (05)

Q.7 (a) If two fair dice are rolled together, which of the following is more likely:

  • Getting a total of 7 or more.
  • Getting a total of 7 or less. (05)

(b) In a group of 12 international referees, there are three from Africa, four from Asia and five from Europe. To officiate at a tournament, three referees are chosen at random from the group. Find the probability that: (i) A referee is chosen from each Continent. (ii) Two referees are chosen from Asia. (iii) All the three referees are chosen from the same Continent. (07)

Q.8 The data in the following table shows the monthly maintenance cost and the ages of nine similar machines operating in a factory:

Machine 1 2 3 4 5 6 7 8 9 Age (in months) 5 10 15 20 30 30 30 50 50 Cost (Rs in 000) 19 24 25 30 31 32 30 30 35

(a) Find the least square regression line of maintenance cost on age. (06) (b) Describe the apparent relationship between maintenance cost and age. (01) (c) Find the coefficient of correlation and interpret your result. (04)