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Number System : Divisibility Video Lecture | CAT Made Easy - Video Lectures by Nishant Sir | IIM K

Q: 5. What common mistakes should be avoided when applying divisibility rules?

Ans. Common mistakes include:- Misapplying the rules, such as incorrectly calculating the sum of digits for divisibility by 3 or 9.- Overlooking the need to check for multiple conditions, like confirming both 2 and 3 for divisibility by 6.- Failing to simplify numbers before applying the rules, which can lead to incorrect conclusions.- Not practicing enough with different types of numbers, leading to uncertainties during actual exams.

FAQs on Number System : Divisibility Video Lecture - CAT Made Easy - Video Lectures by Nishant Sir - IIM K

1. What are the basic divisibility rules that can help in simplifying calculations?

Ans. The basic divisibility rules include: - A number is divisible by 2 if its last digit is even (0, 2, 4, 6, 8). - A number is divisible by 3 if the sum of its digits is divisible by 3. - A number is divisible by 4 if the number formed by its last two digits is divisible by 4. - A number is divisible by 5 if its last digit is 0 or 5. - A number is divisible by 6 if it is divisible by both 2 and 3. - A number is divisible by 9 if the sum of its digits is divisible by 9. - A number is divisible by 10 if its last digit is 0.

2. How can divisibility rules be applied in solving problems in competitive exams?

Ans. Divisibility rules can significantly speed up calculations in competitive exams by eliminating the need for lengthy division. For instance, if a problem involves checking whether a large number is divisible by another number, applying the relevant rules can quickly provide the answer. This is especially useful in multiple-choice questions, where time is limited.

3. Are there any specific strategies to tackle divisibility problems effectively in exams?

Ans. Effective strategies for tackling divisibility problems include: - Familiarizing yourself with the divisibility rules for numbers 1 through 12. - Practicing problems that involve both direct applications of these rules and combinations that require critical thinking. - Estimating the outcome before performing calculations to check if the answer is reasonable. - Using shortcuts, such as recognizing patterns in numbers, to make informed guesses in multiple-choice questions.

4. Can you explain the relationship between prime numbers and divisibility?

Ans. Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves. This unique property makes them fundamental in the study of divisibility, as any composite number can be expressed as a product of prime numbers (its prime factorization). Understanding prime numbers helps in determining the divisibility of larger numbers, as a number is divisible by another if the latter's prime factors are also present in the former.

5. What common mistakes should be avoided when applying divisibility rules?

Ans. Common mistakes include: - Misapplying the rules, such as incorrectly calculating the sum of digits for divisibility by 3 or 9. - Overlooking the need to check for multiple conditions, like confirming both 2 and 3 for divisibility by 6. - Failing to simplify numbers before applying the rules, which can lead to incorrect conclusions. - Not practicing enough with different types of numbers, leading to uncertainties during actual exams.

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Oct 20, 2025 Last updated

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Video Description: Number System : Divisibility for CAT 2025 is part of CAT Made Easy - Video Lectures by Nishant Sir | IIM K preparation. The notes and questions for Number System : Divisibility have been prepared according to the CAT exam syllabus. Information about Number System : Divisibility covers all important topics for CAT 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Number System : Divisibility.

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	CAT Made Easy - Video Lectures by Nishant Sir \| IIM K 66 videos\|1 docs

CAT Made Easy - Video Lectures by Nishant Sir | IIM K

66 videos|1 docs

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