Can you provide me question paper for the Admissions Test to IEOR or Industrial Engineering and Operations Research M.Tech Program in IITB or Indian Institute of Technology Bombay for preparation of its entrance exam?

There is both a written test and an interview for all categories of admission to IEOR or Industrial Engineering and Operations Research M.Tech Program in IITB or Indian Institute of Technology Bombay. SC/ST candidates applying for TA/RA seats are exempt from the test and interview.

Question Paper

1. A manufacturing facility has four stages in series (i.e. every product has to go through each stage in sequence), A-B-C-D with processing rates of 4 units per hour, 5 units per hour, 4 units per hour and 6 units per hour respectively. The maximum achievable throughput is?

2. Consider the manufacturing facility given in the previous question. If you have to invest in any stage to improve the processing rate, so as to achieve higher throughput which stage(s) will you invest initially: stage A, B, C or D?

3. In designing a health facility (e.g. a diagnostic centre), there could be many objectives. One such objective is Maximize ‘Utilization of the personnel in the facility’. Identify the objective(s) which are perhaps conflicting with the above objective.
A. Minimizing the average waiting time of customers
B. Minimizing the average number of customers waiting
C. Minimizing the number of customers who wait beyond some time (e.g. two hours)
D. Maximize the total revenue of the hospital

4. We flip a fair coin 10 times. What is the probability of getting exactly 5 heads?
5. Consider a group of children: 3 boys and x girls. We pick 2 children at random, and the probability that both are boys is ½. How many girls are there in the group?
A. 1
B. 2
C. 3
D. 4


Admissions Test QP for M.Tech Program