The Indian Institute of Technology Bombay is a public engineering institution located in Powai, Mumbai, India.

It was founded in 1958 and In the QS World University Rankings 2014, IIT Bombay was ranked as India’s top university.

The written test will be based on the topics related to operations research, such as: optimization, applied probability, stochastic processes, statistics and algorithms.

It will be designed to test your basic understanding and aptitude for research.

Sample Ph.D. Admissions Written Test Paper

Sample Ph.D. Admissions Written Test Paper of IIT Bombay




Partial list of topics along with suggested references

Basic topics in engineering mathematics, calculus, linear algebra, probability & statistics, algorithms, logic, etc.

Operations Research (Linear programming, network flow models, queueing theory, simulation, etc.)
-Taha, H.A., Operations Research, Prentice-Hall India, 2003.
-Winston, Wayne L., Operations Research: Algorithms & Applications, Thomson Learning, 2004.
-Wagner, H.M., Principles of Operations Research, Prentice-Hall India, 2007.
-Hillier, F.S. and Lieberman, G.J., Introduction to Operations Research, McGraw Hill, 2006.

Applied probability, stochastic process and statistics
-Ross, Sheldon M., Introduction to Probability Models, CBS Publishers, 2006.
-Papoulis, A., and S. Unnikrishna Pillai, Probability, Random Variables, and Stochastic Processes, Tata-McGraw Hill, 2002.
-Ross, Sheldon M., Introduction to Probability & Statistics for Engineers and Scientists, Academic Press Elsevier, 1999.

Optimization (linear & nonlinear programming, integer programming, network optimization, etc.)
-Chong, E.K.P, and S.H. Zak, An Introduction to optimization, John Wiley & Sons, 2001
-Rao, S.S., Engineering Optimization: Theory and Practice, New Age International, 2001
-Bazaraa, M.S., J.S. Jarvis, and H.D. Sherali, Linear Programming and Network Flows, John Wiley & Sons, 2006


Contact Detail:
Indian Institute of Technology Bombay  
Powai, Mumbai, Maharashtra 400076
Phone: 022 2572 2545