CAT Exam > CAT Videos > Quantitative Aptitude (Quant) > Number System: Cyclicity
Number System: Cyclicity Video Lecture | Quantitative Aptitude (Quant) - CAT
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FAQs on Number System: Cyclicity Video Lecture - Quantitative Aptitude (Quant) - CAT
| 1. What is the concept of cyclicity in number systems? |  |
Ans.Cyclicity in number systems refers to the pattern that the last digits of the powers of a number form. For example, the last digits of the powers of 2 are cyclic: 2, 4, 8, 6, and then it repeats. Understanding cyclicity helps in simplifying calculations involving large powers.
| 2. How can I determine the cyclicity of a given number? | |
Ans.To determine the cyclicity of a number, you need to calculate its successive powers until the last digits start repeating. For example, for the number 3: 3^1 = 3, 3^2 = 9, 3^3 = 27 (last digit 7), 3^4 = 81 (last digit 1), and then it repeats with 3, 9, 7, 1. Thus, the cyclicity of 3 is 4.
| 3. Why is cyclicity important in competitive exams like CAT? | |
Ans.Cyclicity is important in competitive exams like CAT because it allows candidates to quickly find the last digit of large powers without calculating the entire power. This can save time and effort in solving numerical problems, which is crucial in time-constrained exams.
| 4. Can cyclicity be used for all numbers? | |
Ans.No, cyclicity is not universal for all numbers. It primarily applies to integers and their powers. Additionally, the cyclicity pattern can vary depending on the base number. For example, prime numbers may have different cyclic patterns compared to composite numbers.
| 5. How can I practice problems related to cyclicity for the CAT exam? | |
Ans.To practice problems related to cyclicity for the CAT exam, you can find sample questions in CAT preparation books or online resources. Focus on exercises that involve finding the last digits of powers, and try to identify the cyclicity of various numbers. Regular practice will help improve your speed and accuracy in this topic.
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Dec 22, 2024 Last updated |
Video Description: Number System: Cyclicity for CAT 2024 is part of Quantitative Aptitude (Quant) preparation.
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