Digits & Base Systems in IOQM: previous year question analysis
Digits & Base Systems has appeared 27 times in IOQM between 2013 and 2025, making it the 7th most-asked of 14 chapters and about 7.6% of the bank. Over the last 5 years it has averaged 2.8 questions per year.
Total PYQs
27
Years covered
2013–2025
Weightage rank
#7 of 14
Share of bank
7.6%
How many Digits & Base Systems questions appeared each year
| Year | Questions | Relative volume |
|---|---|---|
| 2013 | 2 | |
| 2014 | 1 | |
| 2015 | 2 | |
| 2016 | 2 | |
| 2017 | 1 | |
| 2018 | 4 | |
| 2019 | 1 | |
| 2021 | 2 | |
| 2022 | 2 | |
| 2023 | 2 | |
| 2024 | 3 | |
| 2025 | 5 |
Which Digits & Base Systems sub-topics are asked most
Every question in this chapter is tagged to a sub-topic, so you can see exactly where the marks sit before you revise.
- digit sums in base 101 questions
- binary representations with a fixed number of ones1 questions
- sum of cubes of digits, eventual periodicity1 questions
- digit-sum function summed over a range1 questions
- digit reversal and perfect squares1 questions
- repeated digit sum (digital root)1 questions
- counting digit occurrences in a range1 questions
- digit sum and divisibility conditions1 questions
- palindromic digit string divisible by 71 questions
- arithmetic valid in an unknown base1 questions
Question formats used in Digits & Base Systems
- Numerical / integer answer27
How Digits & Base Systems compares with nearby chapters
- #5Diophantine Equations39
- #6Quadrilaterals & Polygons28
- #7Digits & Base Systems27
- #8Coordinate & Trigonometric Geometry16
- #9Sequences & Series16
Counts are computed from AcadXL’s own IOQM question bank, tagged chapter- and sub-topic-wise and checked against official answer keys. Sign in to attempt the 27 Digits & Base Systems questions with solutions.