When you divide A4 in half, you get two A5 sheets. If you further divide those A5 sheets in half, you get four A6 sheets. Till which A series paper should you divide so that every person on earth can get one sheet?
Answers
Given : When you divide A4 in half, you get two A5 sheets. If you further divide those A5 sheets in half, you get four A6 sheets.
To Find : Till which A series paper should you divide so that every person on earth can get one sheet
Solution:
A4 Size = 1 Sheet = 2⁰ = 2⁴⁻⁴
A5 Size = 2 Sheet = 2¹ = 2⁵⁻¹
A6 Size = 4 Sheet = 2² = 2⁶⁻⁴
An Size = 2ⁿ⁻⁴ Sheets
Population of earth = 7600000000
7.6 * 10⁹
2ⁿ⁻⁴ > 7.6 * 10⁹
2³² = 4,29,49,67,296
2³³ = 8,58,99,34,592
8,58,99,34,592 > 7600000000
=> 2³³ > 7.6 * 10⁹
=> 2ⁿ⁻⁴ = 2³³
=> n - 4 = 33
=> n = 37
Till A37 series should be divided so that every person on earth can get one sheet
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