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few good PS qs.

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Manager
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few good PS qs. [#permalink]

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New post 09 Oct 2009, 04:38
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1) What is the least number of digits (including repetitions) needed to express 10 to the power 100 in decimal notation?
(A) 4
(B) 100
(C) 101
(D) 1,000
(E) 1,001

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Senior Manager
Senior Manager
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Joined: 31 Aug 2009
Posts: 419
Location: Sydney, Australia
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Kudos [?]: 220 [0], given: 20

Re: few good PS qs. [#permalink]

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New post 09 Oct 2009, 06:25
10^2 = 10x10 =100
10^3 = 10x10x10 = 1000

Therefore.. 10^100 = 1 followed by 100 0's.
Answer = 101 = C
Intern
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Re: few good PS qs. [#permalink]

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New post 09 Oct 2009, 22:39
yangsta8 wrote:
10^2 = 10x10 =100
10^3 = 10x10x10 = 1000

Therefore.. 10^100 = 1 followed by 100 0's.
Answer = 101 = C



Did not understand this answer. Could you explain? Thanks.
Senior Manager
Senior Manager
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Joined: 31 Aug 2009
Posts: 419
Location: Sydney, Australia
Followers: 8

Kudos [?]: 220 [0], given: 20

Re: few good PS qs. [#permalink]

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New post 10 Oct 2009, 05:58
mohana wrote:
yangsta8 wrote:
10^2 = 10x10 =100
10^3 = 10x10x10 = 1000

Therefore.. 10^100 = 1 followed by 100 0's.
Answer = 101 = C



Did not understand this answer. Could you explain? Thanks.


The question is asking what is 10^100.
As an example if you look at 10^2...the result is 1 with 2 trailing 0's.
10^3 is following the same pattern... 1 with 3 trailing zeros.
10^4 will be 1 with 4 trailing zeros...
Hence 10^100 should be 1 with 100 trailing zeros.
Re: few good PS qs.   [#permalink] 10 Oct 2009, 05:58
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