Divisibility Rules
10 lessons · 17 questions · 9 PYQs
What the exams ask here
- find digit(s) making N divisible by 72/88/99 (JIPMAT 2023 Q25, 2024 Q3)
- which two digits appended make 4530.. divisible by 6, 7, 9 (Indore 2019 Q24)
- count integers in a range divisible by a and b but not c / by at least one of a, b (Indore 2019 Q20, 2022 Q39, 2020 Q21)
- a^n + b^n divisible by a + b; 2^122 + 4^62 + ... factor out the smallest power (JIPMAT 2025)
- abcde divisible by 6: which rearrangement is NOT necessarily divisible (Indore 2022 Q21)
- 888888 / abcabc / 10^n - 1 divisibility
- k^2 - 1 divisible by 8 for odd k (JIPMAT 2023 Q18); n(n+1)(2n+1) always divisible by 6
Lessons
- Start hereThe idea and the methodFirst lesson of Divisibility Rules6 min video
- 1.Divisibility rules 2 to 13Notes only4 min video
- 2.Unknown digits: 72, 88, 992 questions + fresh variantsJIPMAT 20245 min video
- 3.Composite divisor1 questionIndore 2019
- 4.Consecutive products: 6, 24, 86 questionsJIPMAT 20235 min video
- 5.Digit sum conditions2 questions
- 6.Counting multiples in range3 questions + fresh variantsIndore 2022
- 7.Power sums: odd powers, add the bases1 question + fresh variantsJIPMAT 2025 (like)5 min video
- 8.Not Necessarily Divisible1 question + fresh variantsIndore 20225 min video
- 9.Repdigit and block numbers1 question + fresh variants