Download PTU MBA 2020 March 1st Sem 75404 Quantitative Techniques Question Paper

Download PTU (I.K. Gujral Punjab Technical University Jalandhar (IKGPTU) ) MBA (Master of Business Administration) 2020 March 1st Sem 75404 Quantitative Techniques Previous Question Paper

1 | M-75404 (S32)-1141

Roll No. Total No. of Pages : 04
Total No. of Questions : 17
MBA/MBA(IB) (2018 & Onwards) (Sem.?1)
QUANTITATIVE TECHNIQUES
Subject Code : MBA-103-18
M.Code : 75404
Time : 3 Hrs. Max. Marks : 60
INSTRUCTION TO CANDIDATES :
1. SECTION-A contains EIGHT questions carrying TWO marks each and students
has to attempt ALL questions.
2. SECTION-B consists of FOUR Subsections : Units-I, II, III & IV. Each Subsection
contains TWO questions each carrying EIGHT marks each and student has to
attempt any ONE question from each Subsection.
3. SECTION-C is COMPULSORY carrying TWELVE marks.

SECTION-A
Answer briefly :
1) What are the functions of statistics?
2) Define standard deviation.
3) What is rank correlation?
4) What is regression coefficient?
5) Define Poission distribution.
6) What is duality?
7) Define transportation problem.
8) Define critical path.

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1 | M-75404 (S32)-1141

Roll No. Total No. of Pages : 04
Total No. of Questions : 17
MBA/MBA(IB) (2018 & Onwards) (Sem.?1)
QUANTITATIVE TECHNIQUES
Subject Code : MBA-103-18
M.Code : 75404
Time : 3 Hrs. Max. Marks : 60
INSTRUCTION TO CANDIDATES :
1. SECTION-A contains EIGHT questions carrying TWO marks each and students
has to attempt ALL questions.
2. SECTION-B consists of FOUR Subsections : Units-I, II, III & IV. Each Subsection
contains TWO questions each carrying EIGHT marks each and student has to
attempt any ONE question from each Subsection.
3. SECTION-C is COMPULSORY carrying TWELVE marks.

SECTION-A
Answer briefly :
1) What are the functions of statistics?
2) Define standard deviation.
3) What is rank correlation?
4) What is regression coefficient?
5) Define Poission distribution.
6) What is duality?
7) Define transportation problem.
8) Define critical path.

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SECTION-B
UNIT-I
9) An incomplete distribution is given below :
Variable 0-10 10-20 20-30 30-40 40-50 50-60 60-70
Frequency 10 20 ? 40 ? 25 15
i) You are given that the median value is 35. Find out missing frequency (given that
total frequency = 170).
ii) Calculate the arithmetic mean of the completed table.
10) From the prices of shares of A and B below find out which is more stable in value :
A 34 53 51 52 56 58 52 50 51 49
B 108 107 105 105 106 107 104 103 104 101

UNIT-II
11) The ranking of 10 students in two subjects A and B are as follow :
A 5 6 3 2 10 4 9 7 8 1
B 3 8 4 9 1 6 10 7 5 2
Calculate rank correlation coefficient.
12) Write short note on theory of probability.
UNIT-III
13) Twelve dices were thrown 4,096 times. Each 4, 5 or 6 spot appearing was considered to
be a success while a 1, 2 or 3 spot was a failure. Calculate the theoretical frequencies for
0, 1, 2, ?, 12 successes.

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1 | M-75404 (S32)-1141

Roll No. Total No. of Pages : 04
Total No. of Questions : 17
MBA/MBA(IB) (2018 & Onwards) (Sem.?1)
QUANTITATIVE TECHNIQUES
Subject Code : MBA-103-18
M.Code : 75404
Time : 3 Hrs. Max. Marks : 60
INSTRUCTION TO CANDIDATES :
1. SECTION-A contains EIGHT questions carrying TWO marks each and students
has to attempt ALL questions.
2. SECTION-B consists of FOUR Subsections : Units-I, II, III & IV. Each Subsection
contains TWO questions each carrying EIGHT marks each and student has to
attempt any ONE question from each Subsection.
3. SECTION-C is COMPULSORY carrying TWELVE marks.

SECTION-A
Answer briefly :
1) What are the functions of statistics?
2) Define standard deviation.
3) What is rank correlation?
4) What is regression coefficient?
5) Define Poission distribution.
6) What is duality?
7) Define transportation problem.
8) Define critical path.

2 | M-75404 (S32)-1141

SECTION-B
UNIT-I
9) An incomplete distribution is given below :
Variable 0-10 10-20 20-30 30-40 40-50 50-60 60-70
Frequency 10 20 ? 40 ? 25 15
i) You are given that the median value is 35. Find out missing frequency (given that
total frequency = 170).
ii) Calculate the arithmetic mean of the completed table.
10) From the prices of shares of A and B below find out which is more stable in value :
A 34 53 51 52 56 58 52 50 51 49
B 108 107 105 105 106 107 104 103 104 101

UNIT-II
11) The ranking of 10 students in two subjects A and B are as follow :
A 5 6 3 2 10 4 9 7 8 1
B 3 8 4 9 1 6 10 7 5 2
Calculate rank correlation coefficient.
12) Write short note on theory of probability.
UNIT-III
13) Twelve dices were thrown 4,096 times. Each 4, 5 or 6 spot appearing was considered to
be a success while a 1, 2 or 3 spot was a failure. Calculate the theoretical frequencies for
0, 1, 2, ?, 12 successes.

3 | M-75404 (S32)-1141

14) Solve the following game after reducing it to a 2 ? 2 matrix.
Player A Player B
B1 B2 B3
A1 1 7 2
A2 6 2 7
A3 5 1 6

UNIT-IV
15) Solve the following transportation problem using Vogel?s Approximation Method :
Warehouse Market Supply
P Q R S
A 6 3 5 4 22
B 5 9 2 7 15
C 5 7 8 6 8
Demand 7 12 17 9
16) A travelling salesman has to visit five cities. He wishes to start from a particular city,
visit each city once and then return to his starting point. The travelling cost (in ?000 Rs.)
of each city from a particular city is given below :
To City
From City A B C D E
A ?
2 5 7 1
B 6
?
3 8 2
C 8 7
?
4 7
D 12 4 6
?
5
E 1 3 2 8
?

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1 | M-75404 (S32)-1141

Roll No. Total No. of Pages : 04
Total No. of Questions : 17
MBA/MBA(IB) (2018 & Onwards) (Sem.?1)
QUANTITATIVE TECHNIQUES
Subject Code : MBA-103-18
M.Code : 75404
Time : 3 Hrs. Max. Marks : 60
INSTRUCTION TO CANDIDATES :
1. SECTION-A contains EIGHT questions carrying TWO marks each and students
has to attempt ALL questions.
2. SECTION-B consists of FOUR Subsections : Units-I, II, III & IV. Each Subsection
contains TWO questions each carrying EIGHT marks each and student has to
attempt any ONE question from each Subsection.
3. SECTION-C is COMPULSORY carrying TWELVE marks.

SECTION-A
Answer briefly :
1) What are the functions of statistics?
2) Define standard deviation.
3) What is rank correlation?
4) What is regression coefficient?
5) Define Poission distribution.
6) What is duality?
7) Define transportation problem.
8) Define critical path.

2 | M-75404 (S32)-1141

SECTION-B
UNIT-I
9) An incomplete distribution is given below :
Variable 0-10 10-20 20-30 30-40 40-50 50-60 60-70
Frequency 10 20 ? 40 ? 25 15
i) You are given that the median value is 35. Find out missing frequency (given that
total frequency = 170).
ii) Calculate the arithmetic mean of the completed table.
10) From the prices of shares of A and B below find out which is more stable in value :
A 34 53 51 52 56 58 52 50 51 49
B 108 107 105 105 106 107 104 103 104 101

UNIT-II
11) The ranking of 10 students in two subjects A and B are as follow :
A 5 6 3 2 10 4 9 7 8 1
B 3 8 4 9 1 6 10 7 5 2
Calculate rank correlation coefficient.
12) Write short note on theory of probability.
UNIT-III
13) Twelve dices were thrown 4,096 times. Each 4, 5 or 6 spot appearing was considered to
be a success while a 1, 2 or 3 spot was a failure. Calculate the theoretical frequencies for
0, 1, 2, ?, 12 successes.

3 | M-75404 (S32)-1141

14) Solve the following game after reducing it to a 2 ? 2 matrix.
Player A Player B
B1 B2 B3
A1 1 7 2
A2 6 2 7
A3 5 1 6

UNIT-IV
15) Solve the following transportation problem using Vogel?s Approximation Method :
Warehouse Market Supply
P Q R S
A 6 3 5 4 22
B 5 9 2 7 15
C 5 7 8 6 8
Demand 7 12 17 9
16) A travelling salesman has to visit five cities. He wishes to start from a particular city,
visit each city once and then return to his starting point. The travelling cost (in ?000 Rs.)
of each city from a particular city is given below :
To City
From City A B C D E
A ?
2 5 7 1
B 6
?
3 8 2
C 8 7
?
4 7
D 12 4 6
?
5
E 1 3 2 8
?

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SECTION-C
17) Solve the following case study :
Milwaukee Paper Manufacturing had long delayed the expense of installing advanced
computerized air pollution control equipment in its facility. But when the board of
directors adopted a new proactive policy on sustainability, it did not just authorized the
budget for the state of art equipment. It directed the plant manager, Julie Ann Williams,
to complete the installation in time for the major announcement of the policy, on the
Earth Day, exactly 16 weeks away ! Under strict deadline from her bosses, William needs
to be sure that installation of the filtering system progresses smoothly on time. Given the
following information, develop a table showing activity precedence relationships and find
length of critical path.
Activity Description Immediate
Predecessor
Duration
(Days)
A Build internal component -- 3
B Modify roof and floor -- 5
C Construct collection stack A 3
D Pour concrete and install frame A, B 4
E Build high-temperature Burner C 6
F Install pollution control system C 4
G Install air pollution device D, E 6
H Inspect and test F, G 7





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This post was last modified on 22 March 2020