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by dunkin77 » Sat May 05, 2007 4:32 pm
What is the least number of digits (including repetitions) needed to express 10100 in decimal notation?
(A) 4
(B) 100
(C) 101
(D) 1,000
(E) 1,001



Hi,
I am having difficulty in understanding this question - can anyone help?
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Source: — Problem Solving |

by sanju09 » Fri Jul 02, 2010 1:15 am
dunkin77 wrote:What is the least number of digits (including repetitions) needed to express 10100 in decimal notation?
(A) 4
(B) 100
(C) 101
(D) 1,000
(E) 1,001



Hi,
I am having difficulty in understanding this question - can anyone help?
I want to correct it first, as I am sure that the question is not talking about binary numbers here. It should actually read

What is the least number of digits (including repetitions) needed to express 10^100 in decimal notation?
(A) 4
(B) 100
(C) 101
(D) 1,000
(E) 1,001


Now see, 10^1 is 2-digit, 10^2 is 3-digit, 10^3 is 4-digit, and hence 10^100 must be a [spoiler]101-digit number.

C
[/spoiler]
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
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by pradeepkaushal9518 » Sat Jul 03, 2010 2:35 am
good sanju

i think in btg one more achievement should be given " question corrector and answerer"
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by sanju09 » Sat Jul 03, 2010 3:24 am
pradeepkaushal9518 wrote:good sanju

i think in btg one more achievement should be given " question corrector and answerer"
flattering remark cum sarcasm, kewl...
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Join the discussion