id int64 1 13 | topic stringclasses 4
values | question stringlengths 31 50 | answer stringlengths 1 15 | working stringlengths 24 72 |
|---|---|---|---|---|
1 | HCF and LCM | Find the HCF and LCM of 36 and 48. | HCF 12, LCM 144 | HCF x LCM = 36x48 = 1728. |
2 | HCF and LCM | Find the HCF and LCM of 84 and 126. | HCF 42, LCM 252 | HCF x LCM = 84x126 = 10584. |
3 | HCF and LCM | Find the HCF and LCM of 150 and 225. | HCF 75, LCM 450 | HCF x LCM = 150x225 = 33750. |
4 | Unit digit | What is the unit digit of 7^95? | 3 | Unit digits of powers of 7 cycle [7, 9, 3, 1]; 95 mod 4 = 3. |
5 | Unit digit | What is the unit digit of 3^102? | 9 | Unit digits of powers of 3 cycle [3, 9, 7, 1]; 102 mod 4 = 2. |
6 | Unit digit | What is the unit digit of 2^57? | 2 | Unit digits of powers of 2 cycle [2, 4, 8, 6]; 57 mod 4 = 1. |
7 | Unit digit | What is the unit digit of 9^41? | 9 | Unit digits of powers of 9 cycle [9, 1, 9, 1]; 41 mod 4 = 1. |
8 | Remainders | Find the remainder when 2^31 is divided by 5. | 3 | Powers of 2 mod 5 cycle 2, 4, 3, 1; 31 mod 4 = 3, so the remainder is 3. |
9 | Remainders | Find the remainder when 17^23 is divided by 16. | 1 | 17 leaves remainder 1 on division by 16, so 17^23 also leaves 1. |
10 | Remainders | Find the remainder when 10^20 + 7 is divided by 9. | 8 | 10 leaves remainder 1 on division by 9, so 10^20 leaves 1; 1 + 7 = 8. |
11 | Factors | How many positive factors does 360 have? | 24 | 2^3 x 3^2 x 5^1 -> 4 x 3 x 2 = 24. |
12 | Factors | How many positive factors does 1000 have? | 16 | 2^3 x 5^3 -> 4 x 4 = 16. |
13 | Factors | How many positive factors does 2310 have? | 32 | 2^1 x 3^1 x 5^1 x 7^1 x 11^1 -> 2 x 2 x 2 x 2 x 2 = 32. |
Number System Practice Questions for Aptitude Exams
Thirteen original number-system questions with answers and worked reasoning, written for students preparing for CAT, IPMAT, bank PO and SSC exams in India.
| Topic | Questions |
|---|---|
| HCF and LCM | 3 |
| Unit digit (cyclicity) | 4 |
| Remainders | 3 |
| Number of factors | 3 |
Each row has id, topic, question, answer and working. Every answer was checked by direct computation.
Uses
- small evaluation set for step-by-step arithmetic reasoning
- classroom drills or flashcards
- seed questions for building adaptive quizzes
Source
Prepared by the faculty of Aptitude360, a competitive-exam coaching institute in Sector 34A, Chandigarh. Timed practice and free full-length mock tests are on aptitude360.online.
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