The numbers \(2^{2024}\) and \(5^{2024}\) are expanded and their digits are written out consecutively on one page. The total number of digits written on the page is
Question and options
The numbers and are expanded and their digits are written out consecutively on one page. The total number of digits written on the page is
- 1987
- 2025
- 2065
- 2000
Answer and explanation
Correct answer: B - 2025
If 2^n has a digits and 5^n has b digits, 10^(a+b-2) < 10^n < 10^(a+b), so a+b=n+1 = 2025.
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IPMAT Indore
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