17 year papers

Operations Research GATE ME PYQ Topic Wise (2016–2026)

Operations Research GATE ME PYQs: all 15 questions from 11 official papers (2016–2026), by concept with official answers. Asked in 10 of 11 years.

Updated2 min read
Full name
GATE Mechanical Engineering (ME)
Conducted by
IISc / IITs (rotating)
Frequency
Once a year (February window)
Sections
General Aptitude · Engineering Mathematics · ME core
Official site
gate2027.iitm.ac.in ↗

Explore: All GATE ME topics · GATE ME Materials, Manufacturing and Industrial Engineering PYQs · GATE ME hub · Syllabus & pattern · GATE ME 2026

Answer first

Operations Research PYQs (previous year questions) for GATE ME: Operations Research (Materials, Manufacturing and Industrial Engineering) had 15 questions across the 11 official GATE ME papers we tagged (2016–2026), and appeared in 10 of them. Asked in 10 of 11 years. The concepts asked in the most papers: Linear Programming, PERT and CPM, Queueing Theory.

Year-wise question count

Asked in 10 of 11 years.

Most-asked concepts

Sorted by the number of papers a concept appeared in.

ConceptQuestionsPapersYears
Linear Programming552023, 2022, 2018, 2017, 2016
PERT and CPM332026, 2025, 2022
Assignment Problem222022, 2019
Queueing Theory222024, 2021
Duality112026
Simplex Method112024
Transportation Problem112024

How to practise Operations Research PYQs

  1. Start with the concepts at the top of the table. They have come back the most.
  2. Solve one year’s Operations Research questions from the official PDF against the clock, then check the answer listed below.
  3. Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
  4. Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.

Questions by year

Each line gives the question number, type, concept, our one-line summary and the official answer, with a link to the official PDF.

GATE ME2026

  • Q.46 · MCQ · Duality: Dual of a minimisation LP problem (official answer: A) PDF
  • Q.65 · NAT · PERT and CPM: Expected project length of a PERT network (official answer: 22) PDF

GATE ME2025

  • Q.65 · NAT · PERT and CPM: Slack of an activity in a project network (official answer: 2) PDF

GATE ME2024

  • Q.35 · MCQ · Queueing Theory: Probability that a single-server queue is idle (official answer: C) PDF
  • Q.39 · MCQ · Simplex Method: Objective function after one simplex pivot (official answer: A) PDF
  • Q.65 · NAT · Transportation Problem: Minimum cost of a balanced transportation problem (official answer: 12300) PDF

GATE ME2023

  • Q.14 · MCQ · Linear Programming: Feasible region of a given LP model from a graph (official answer: B) PDF

GATE ME2022

  • Q.21 · MCQ · Linear Programming: Shadow price of a resource that is not fully used (official answer: C) PDF
  • Q.42 · MCQ · PERT and CPM: Latest finish time of an activity in a project network (official answer: B) PDF
  • Q.58 · NAT · Assignment Problem: New optimal time after one job's times all rise equally (official answer: 520) PDF

GATE ME2021

  • Q.42 · NAT · Queueing Theory: Expected number of jobs in an M/M/1 workstation (official answer: 4) PDF

GATE ME2019

  • Q.54 · NAT · Assignment Problem: Minimum total time assigning five jobs to machines (official answer: 146) PDF

GATE ME2018

  • Q.51 · NAT · Linear Programming: Minimum of an objective under given constraints (official answer: 0) PDF

GATE ME2017

  • Q.51 · NAT · Linear Programming: Units of a product to maximise profit with time limit (official answer: 15) PDF

GATE ME2016

  • Q.55 · MCQ · Linear Programming: Nature of solution of a given LP problem (official answer: B) PDF

Other Materials, Manufacturing and Industrial Engineering topics

FAQ

How many Operations Research questions come in GATE ME?

In the official papers we tagged: 2 in 2026, 1 in 2025, 3 in 2024, 1 in 2023, 3 in 2022, 1 in 2021, 1 in 2019, 1 in 2018, 1 in 2017 and 1 in 2016. Not asked in the other year. That is 15 questions in all, about 9% of Materials, Manufacturing and Industrial Engineering.

Which Operations Research topics repeat in GATE ME?

Asked in the most papers: Linear Programming, PERT and CPM, Queueing Theory. The concept table lists every one with its count.

Are these official GATE ME questions?

Yes. Every question is from an official GATE ME paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.