BBASemester 32025-26Quantitative TechniquesBBA304

Quantitative Techniques (BBA304) - AKTU Question Paper 2025-26

BBA · Semester 3 · Free PDF Download

This is the official AKTU Quantitative Techniques Previous Year Question Paper for BBA Semester 3, academic session 2025-26. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.

Course:BBA
Semester:Semester 3
Session:2025-26
University:AKTU / UPTU

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Questions Asked in 2025-26

Quantitative Techniques (BBA304) — complete question paper · 70 marks · 3 Hours

Section AAttempt all q u e s t i o n s i n b r i e f . 02 x 7 = 14
  • a
    Define an optimization model
  • b
    What do you mean by degenerated transportation problem?
  • c
    Differentiate between basic a nd non-basic variables in LP problem
  • d
    Define total elapsed time
  • e
    Give an example of payoff matric in decision theory analysis
  • f
    How do you make an unbalance assignment problem balance?
  • g
    What is a saddle point?
Section BAttempt any three o f t h e f o l l o w i n g : 07 x 3 = 21
  • a
    What are the advantages and disadvantages of operation resea rch models? Why is it necessary to test models and how would you go about testing a model?
  • b
    What is meant by a feasible solution of an LP problem? Write about the key components of a Linear Programming Problem
  • c
    Discuss briefly about bala nced, unbalanced and maximized transportation problem with suitable examples
  • d
    XYZ Company manufactures guara nteed tennis balls. At present , approximately 10 percent of the tennis balls are defective. A d efective ball leaving the factory costs the company re 0.50 to honour it s guarantee. Assume that all defective balls are returned. At a c ost of Re 0.10 per ball, the company can conduct a test that always corre ctly identifies both good and bad tenn is balls. Draw a decision tree a n d determine the optimal course of action and its expected cost
  • e
    Explain the principal of dominance in game theory to reduce the payoff matrix and find the optimal strategies and value of the game. Player A B 1 B 2 B 3 B 4
Section CAttempt any one p a r t o f t h e f o l l o w i n g : 07 x 1 = 07
  • a
    What techniques are used to solve decision making problems i n uncertainty? Discuss the techniques used in uncertainty to get optimistic decision
  • b
    A company has three options to choose against the three even t s . T h e payoff matrix of the problem is given below : State of Nature Options The probabilities of the states of nature are 0.1, 0.7 and 0.2 respectively. Calculate and tabulate the EMV and conclude which would prove t o be the best course of action
  • a
    A company sells two different products A and B, making a pro fit of Rs 40 and Rs 30 per unit respectively. Both are produced by common production processes. The producti on process has a total capaci ty of 30000 man-hours. It takes three hours to produce a unit of A an d one hour to produce a unit of B. The company officials feel that th at the maximum number of units of A that can be sold is 8000 units and that of B is 12000 units. Subject to these limitations, products can be sold in any combination. Formulate this problem as LP problem to maximi ze profit
  • b
    Use the graphical method to sol ve the following LP problem. Minimize Z = 5x1 + 3x2 Subject to x1 + x2 ≤ 6 , 2x1 + 3x2 ≥ 3 , x1 ≥ 3 , x2 ≥ 3 and x1 , x2 ≥ 0
  • a
    Determine an initial basic feasible solution to the followin g transportation problem using North west Corner method, Matrix m inima method and Vogel’s Approximation method. Source Destination D1 D2 D3 D4 Supply Demand 6 6 8 23
  • b
    Show how does an Assignment problem is type of Transportatio n problem? Discuss it’s similarities and differences with transpo rtation problem
  • a
    A company has four machines that are to be assigned on three projects. Each projects can be assigned to one and only one machine. The returns obtained from each project is given in the following table. Machines Projects Find the optimal solution for company to maximize its return
  • b
    Explain Johnson’s procedure to determine the optimal sequenc e for processing of n items on three machines
  • a
    W h a t i s a g a m e i n g a m e t h e o r y ? W h a t a r e t h e p r o p e r t i e s o f a game? Explain the “best Strategy” on the basis of minimax and maximin criterion of optimality
  • b
    A book binder has one printing pr ess, one binding machine, a nd manuscripts of a number of books. The time required to perform the printing and binding operations on each book are shown below. T he binder wishes to determine the order in which the books should be processed, so that the total time required to process all books i s minimized. Books 1 2 3 4 5 6 Printing time (Hours) 30 120 50 20 90 110 Binding time (Hours) 80 100 90 60 30 10

Question text is extracted from the official AKTU question paper PDF above. Hindi translations are omitted — every question is printed in English in the original paper. Last verified: 2026-08-23.