Powers of 2 always follow the Collatz Conjecture. Dividing them by 2 repeatedly reduces them to 1. For example, 8 becomes 4, then 2, then 1, showing the sequence holds for these numbers. Class 6 NCERT Ganita Prakash Chapter 3 Number ...
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To reach the Kaprekar constant (6174), your birth year undergoes repeated operations of forming the largest and smallest digits. Typically, it takes six to seven iterations for most four-digit numbers. Class 6 Mathematics Chapter 3 Number Play question answer Class 6 NCERT ...
Collatz’s conjecture is widely believed but unproven. Every tested sequence reaches 1, but no mathematical proof confirms this for all numbers. Its simplicity versus complexity fascinates mathematicians, making it a captivating unsolved problem. Class 6 NCERT Ganita Prakash Chapter 3 Number ...
The Kaprekar constant is 6174. For any 4-digit number, repeatedly arranging digits in ascending and descending order, subtracting smaller from larger, and iterating the process will always reach 6174 in a maximum of 7 steps. Class 6 Mathematics Ganita Prakash Number ...
If the school has 1,000 students and approximately 15-20% use the bus, then around 150-200 students travel by bus. Factors like nearby neighborhoods and the size of the school may increase this number. Class 6 Mathematics Ganita Prakash Number Play Class 6 ...
Yes, two children standing next to each other can say the same number if their heights relative to surrounding children match the conditions for saying ‘0’, ‘1’, or ‘2’. Class 6 Mathematics Ganita Prakash Number Play Class 6 Mathematics Chapter 3 Number ...
The smallest number greater than 50,000 in the table is 60,193. It satisfies the condition of being above 50,000 while also meeting the rule of valid digit arrangements. Class 6 Mathematics Chapter 3 Number Play question answer Class 6 NCERT Ganita Prakash ...
To maximize supercells, fill the table with numbers matching divisibility rules, prime properties, or symmetrical patterns. Using combinations like 2520 (divisible by 10) and 1221 (palindromic) ensures optimal placement. Class 6 NCERT Ganita Prakash Chapter 3 Number Play class 6 Mathematics Textbook ...