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Permutations, Probability and Sets PYQs (previous year questions) for XAT: Permutations, Probability and Sets (Quantitative Ability and Data Interpretation) had 19 questions across the 9 official XAT papers we tagged (2016–2024), and appeared in 9 of them. Asked in 9 of 9 years. The concepts asked in the most papers: Probability, Set Theory, Data Sufficiency.
Year-wise question count
Asked in 9 of 9 years.
Most-asked concepts
Sorted by the number of papers a concept appeared in.
| Concept | Questions | Papers | Years |
|---|---|---|---|
| Probability | 6 | 6 | 2024, 2023, 2022, 2021, 2020, 2017 |
| Set Theory | 5 | 4 | 2020, 2018, 2017, 2016 |
| Data Sufficiency | 2 | 2 | 2019, 2018 |
| Venn Diagrams | 2 | 1 | 2024 |
| Combinations | 1 | 1 | 2024 |
| Geometric Probability | 1 | 1 | 2018 |
| Pigeonhole Principle | 1 | 1 | 2017 |
| Proportions and Counting | 1 | 1 | 2020 |
How to practise Permutations, Probability and Sets PYQs
- Start with the concepts at the top of the table. They have come back the most.
- Solve one year’s Permutations, Probability and Sets questions from the official PDF against the clock, then check the answer listed below.
- Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
- 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, with a link to the official PDF.
XAT2024
- Q.11 · MCQ · Combinations: Menu items containing gluten from selection counts PDF
- Q.17 · MCQ · Probability: Chance of buying more onion than potato PDF
- Q.18 · MCQ · Venn Diagrams: What can be concluded about applicants with all three skills PDF
- Q.19 · MCQ · Venn Diagrams: Applicants with no advanced expertise PDF
XAT2023
- Q.68 · MCQ · Probability: Chance two painted squares on a grid share a side PDF
XAT2022
- Q.63 · MCQ · Probability: Chance three notes drawn total at least 90 rupees PDF
XAT2021
- Q.51 · MCQ · Probability: Chance a store can meet three customers' colour choices PDF
XAT2020
- Q.7 · MCQ · Probability: Probability that a remainder from two random cards is at most 2 PDF
- Q.13 · MCQ · Proportions and Counting: Possible number of defective rubber balls in a box PDF
- Q.17 · MCQ · Set Theory: Quantity that cannot be found about elective choices PDF
- Q.18 · MCQ · Set Theory: Extra data needed to find students taking only one elective PDF
XAT2019
- Q.67 · MCQ · Data Sufficiency: Number of green marbles from two pigeonhole statements PDF
XAT2018
XAT2017
XAT2016
- Q.51 · MCQ · Set Theory: Visitors to a park from ride-choice counts PDF
Other Quantitative Ability and Data Interpretation topics
- Arithmetic PYQs
- Algebra PYQs
- Geometry and Mensuration PYQs
- Number System PYQs
- Data Interpretation PYQs
FAQ
How many Permutations, Probability and Sets questions come in XAT?
In the official papers we tagged: 4 in 2024, 1 in 2023, 1 in 2022, 1 in 2021, 4 in 2020, 1 in 2019, 3 in 2018, 3 in 2017 and 1 in 2016. That is 19 questions in all, about 8% of Quantitative Ability and Data Interpretation.
Which Permutations, Probability and Sets topics repeat in XAT?
Asked in the most papers: Probability, Set Theory, Data Sufficiency. The concept table lists every one with its count.
Are these official XAT questions?
Yes. Every question is from an official XAT paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.