The number system is the foundation of mathematics and plays a critical role in Railway exams. It includes various types of numbers and their properties. Understanding numbers, divisibility rules, and remainder theorems is crucial for solving complex problems efficiently in the exam. Understanding numbers, divisibility rules, and remainder theorems is crucial for solving complex problems efficiently in the exam. Understanding numbers, divisibility rules, and remainder theorems is crucial for solving complex problems efficiently in the exam. Understanding numbers, divisibility rules, and remainder theorems is crucial for solving complex problems efficiently in the exam. Understanding numbers, divisibility rules, and remainder theorems is crucial for solving complex problems efficiently in the exam. Understanding numbers, divisibility rules, and remainder theorems is crucial for solving complex problems efficiently in the exam. Understanding numbers, divisibility rules, and remainder theorems is crucial for solving complex problems efficiently in the exam. Understanding numbers, divisibility rules, and remainder theorems is crucial for solving complex problems efficiently in the exam. Understanding numbers, divisibility rules, and remainder theorems is crucial for solving complex problems efficiently in the exam. Understanding numbers, divisibility rules, and remainder theorems is crucial for solving complex problems efficiently in the exam.
graph TD
A[Numbers] --> B[Real Numbers]
A --> C[Complex Numbers]
B --> D[Rational Numbers]
B --> E[Irrational Numbers]
D --> F[Integers]
D --> G[Fractions]
F --> H[Whole Numbers]
H --> I[Natural Numbers]
| Number | Rule | Example |
|---|---|---|
| 2 | Last digit is 0, 2, 4, 6, or 8 | 4562 |
| 3 | Sum of digits is divisible by 3 | 123 (1+2+3=6) |
| 4 | Last two digits are divisible by 4 | 512 |
| 5 | Last digit is 0 or 5 | 895 |
| 9 | Sum of digits is divisible by 9 | 729 (7+2+9=18) |
When dealing with large numbers, always look for patterns using the divisibility rules. This will save you a lot of time during the test. For instance, checking if a number ends in 0 or 5 immediately identifies multiples of 5. When dealing with large numbers, always look for patterns using the divisibility rules. This will save you a lot of time during the test. For instance, checking if a number ends in 0 or 5 immediately identifies multiples of 5. When dealing with large numbers, always look for patterns using the divisibility rules. This will save you a lot of time during the test. For instance, checking if a number ends in 0 or 5 immediately identifies multiples of 5. When dealing with large numbers, always look for patterns using the divisibility rules. This will save you a lot of time during the test. For instance, checking if a number ends in 0 or 5 immediately identifies multiples of 5. When dealing with large numbers, always look for patterns using the divisibility rules. This will save you a lot of time during the test. For instance, checking if a number ends in 0 or 5 immediately identifies multiples of 5. When dealing with large numbers, always look for patterns using the divisibility rules. This will save you a lot of time during the test. For instance, checking if a number ends in 0 or 5 immediately identifies multiples of 5. When dealing with large numbers, always look for patterns using the divisibility rules. This will save you a lot of time during the test. For instance, checking if a number ends in 0 or 5 immediately identifies multiples of 5. When dealing with large numbers, always look for patterns using the divisibility rules. This will save you a lot of time during the test. For instance, checking if a number ends in 0 or 5 immediately identifies multiples of 5. When dealing with large numbers, always look for patterns using the divisibility rules. This will save you a lot of time during the test. For instance, checking if a number ends in 0 or 5 immediately identifies multiples of 5. When dealing with large numbers, always look for patterns using the divisibility rules. This will save you a lot of time during the test. For instance, checking if a number ends in 0 or 5 immediately identifies multiples of 5.