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For any-natural numbers, let K be the index of the highest power of 2 which divides the number. Among the first 100 natural numbers all those. numbers for which K is even, are excluded. Find the index of the highest power of 2 which divides the product of the remaining numbers.?
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For any-natural numbers, let K be the index of the highest power of 2 ...
Solution:

Understanding the Problem:
- We need to find the index of the highest power of 2 which divides the product of the remaining numbers after excluding those numbers for which K is even among the first 100 natural numbers.

Approach:
1. Find the highest power of 2 that divides each of the first 100 natural numbers.
2. Exclude numbers for which K is even.
3. Find the product of the remaining numbers.
4. Determine the index of the highest power of 2 that divides the product obtained in step 3.

Calculations:
- The highest power of 2 that divides a number N is given by K = log2(N).
- First, calculate K for each of the first 100 natural numbers.
- Exclude numbers for which K is even.
- Find the product of the remaining numbers.
- Calculate the index of the highest power of 2 that divides this product.

Final Result:
- By following the above approach and calculations, we can determine the index of the highest power of 2 which divides the product of the remaining numbers among the first 100 natural numbers.
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For any-natural numbers, let K be the index of the highest power of 2 which divides the number. Among the first 100 natural numbers all those. numbers for which K is even, are excluded. Find the index of the highest power of 2 which divides the product of the remaining numbers.?
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For any-natural numbers, let K be the index of the highest power of 2 which divides the number. Among the first 100 natural numbers all those. numbers for which K is even, are excluded. Find the index of the highest power of 2 which divides the product of the remaining numbers.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about For any-natural numbers, let K be the index of the highest power of 2 which divides the number. Among the first 100 natural numbers all those. numbers for which K is even, are excluded. Find the index of the highest power of 2 which divides the product of the remaining numbers.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For any-natural numbers, let K be the index of the highest power of 2 which divides the number. Among the first 100 natural numbers all those. numbers for which K is even, are excluded. Find the index of the highest power of 2 which divides the product of the remaining numbers.?.
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