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Shortcut Tricks: Divisibility and Remainders Video Lecture | CSAT Preparation - UPSC

FAQs on Shortcut Tricks: Divisibility and Remainders Video Lecture - CSAT Preparation - UPSC

1. What are the basic rules of divisibility for 2, 3, 5, and 10?

Ans. The basic rules of divisibility are as follows: A number is divisible by 2 if its last digit is even (0, 2, 4, 6, 8). It is divisible by 3 if the sum of its digits is divisible by 3. A number is divisible by 5 if its last digit is either 0 or 5. Lastly, a number is divisible by 10 if it ends in 0.

2. How can I quickly determine if a number is divisible by 9?

Ans. To check if a number is divisible by 9, add all its digits together. If the sum is divisible by 9, then the original number is also divisible by 9. This is a quick mental math trick that can save time during exams.

3. What is the rule for divisibility by 4?

Ans. A number is divisible by 4 if the number formed by its last two digits is divisible by 4. For example, to check if 312 is divisible by 4, look at the last two digits, 12. Since 12 is divisible by 4, 312 is also divisible by 4.

4. Can you explain the rule for checking divisibility by 11?

Ans. To check if a number is divisible by 11, take the sum of the digits in the odd positions and the sum of the digits in the even positions. If the absolute difference between these two sums is either 0 or divisible by 11, then the number is divisible by 11.

5. What is the significance of remainders in relation to divisibility?

Ans. Remainders are significant because they tell us how much is left over after division. When a number is divided by another, if the remainder is 0, it indicates that the first number is divisible by the second. Understanding remainders helps in solving problems related to divisibility efficiently.

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Sep 27, 2025 Last updated

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