Number System — CAT Previous Year Questions
79 solved PYQs · 2017–2025 · Quant
- Solved PYQs
- 79
- Years covered
- 2017–2025
- Avg / year
- ~9
- Subject
- Quant
How many CAT questions come from Number System?
Number System has contributed 79 questions to Common Admission Test papers between 2017 and 2025 — an average of about 9 questions a year. That count is measured from EByAi’s bank of 6,737 CAT questions, not estimated from a syllabus. Every one of the 79 questions carries a written, step-by-step solution, and each is tagged to Number System within Quant, so you can drill this chapter across every year at once instead of hunting through paper PDFs. Practising a chapter’s full PYQ history is the fastest way to learn the patterns examiners reuse.
Sample Number System questions from real CAT papers
These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 79 Number System questions (with full written solutions) are available in practice.
Question 1 · CAT 2024
The author questions the ability of crafts to create substantial employment opportunities presently because- (A)regulatory requirements could make it difficult for small crafts outfits to compete.
- (B)workers made redundant by automation are unlikely to opt for crafts-related work.
- (C)crafts guilds tend to resist new entrants and are unlikely to accept large numbers of trainees.
- (D)the low scale of crafts production will not be able to absorb the mass of redundant labour.
Show answerAnswer
Answer: (A) regulatory requirements could make it difficult for small crafts outfits to compete.Question 2 · CAT 2023
What percentage of ACs sold were of Non-inverter type?- (A)33.33%
- (B)20.00%
- (C)25.00%
- (D)75.00%
Show answerAnswer
Answer: (C) 25.00%Question 3 · CAT 2022
The arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in 1421, including itself, is- (A)2442
- (B)2222
- (C)3333
- (D)2592
Show answerAnswer
Answer: (B) 2222Question 4 · CAT 2022
The number of integers greater than 2000 that can be formed with the digits 0, 1, 2, 3, 4, 5, using each digit at most once, is- (A)1440
- (B)1200
- (C)1420
- (D)1480
Show answerAnswer
Answer: (A) 1440Question 5 · CAT 2022
Consider six distinct natural numbers such that the average of the two smallest numbers is 14, and the average of the two largest numbers is 28. Then, the maximum possible value of the average of these six numbers is- (A)22.5
- (B)23.5
- (C)24
- (D)23
Show answerAnswer
Answer: (A) 22.5
Number System questions by year
| Year | Questions | Share of chapter questions |
|---|---|---|
| 2025 | 3 | |
| 2024 | 6 | |
| 2023 | 10 | |
| 2022 | 10 | |
| 2021 | 7 | |
| 2020 | 10 | |
| 2019 | 10 | |
| 2018 | 14 | |
| 2017 | 9 |
Practise these 79 questions with solutions
Free to start — 25 past-year questions a day with full written solutions, no card needed.
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How many CAT questions have been asked from Number System?
EByAi's bank holds 79 real CAT questions from Number System, asked between 2017 and 2025 — about 9 per year on average. Every count is measured from actual papers, not estimated.
Is Number System important for CAT?
79 questions over 9 papers make Number System a steady-weightage chapter in CAT Quant. The year-wise table above shows exactly how often it appears.
Can I solve Number System PYQs online for free?
Yes. EByAi lets you solve CAT past-year questions in the browser with written solutions — free daily practice, no card needed.