Question

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? A100 A37 A20 A1000

Answer 1

Step-by-step explanation:

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? A100 A37 A20 A1000

Solution:

One fold of A4 sheet= 2 A5 sheet

one fold of 2A5 sheet= 4 A6 sheet

one fold of 4A6 sheet= 8 A7 sheet

and so on

Looking at the pattern

$2, \: 4 ,\: 8, \: 16 ,...\\ \\ {2}^{1} ,\: {2}^{2} , \: {2}^{3}, \: {2}^{4}, ...$

World population is 7.8 billion,

So,

If one can fold paper 33 times

${2}^{33} = 8859934592 \\ \\ 8859934592 > 7.8 \: billions$

So,

Up to 33 fold the series of paper will reach to 33+4= A37

Option B is correct.

Hope it helps you.