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Will reversing and adding numbers repeatedly, starting with a 2-digit number, always give a palindrome? Explore and find out.

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Reversing and adding numbers usually results in a palindrome, but not always. For example, starting with 89 requires 24 steps to form a palindrome. Some numbers, like 196, remain unresolved, even after numerous iterations.

Class 6 Mathematics Ganita Prakash Number Play

Class 6 Mathematics Chapter 3 Number Play question answer

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  1. In most cases, reversing and adding numbers repeatedly produces a palindrome. For example, starting with 56 gives 121 after one step: 56 + 65 = 121. However, exceptions exist. The number 89 requires 24 steps to reach a palindrome (8,813,200). Additionally, some numbers, such as 196, are considered “non-lychrel” because no palindrome has been discovered for them after thousands of iterations. While the process often works, these anomalies make the pattern incomplete, requiring further exploration in mathematics.

    For more NCERT Solutions for Class 6 Math Chapter 3 Number Play Extra Questions and Answer:
    https://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-3/

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