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# If k is an integer and (0.0025)(0.025)(0.00025) 10^k is an

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Manager
Joined: 03 Oct 2008
Posts: 61

Kudos [?]: 31 [0], given: 0

If k is an integer and (0.0025)(0.025)(0.00025) 10^k is an [#permalink]

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09 Oct 2008, 06:06
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If k is an integer and (0.0025)(0.025)(0.00025) × 10^k is an integer, what is the least possible value of k ?

A. -12
B. -6
C. 0
D. 6
E. 12

Kudos [?]: 31 [0], given: 0

Manager
Joined: 22 Sep 2008
Posts: 121

Kudos [?]: 48 [1], given: 0

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09 Oct 2008, 06:28
1
KUDOS
k = 12 .

10^-4 + 10^-3 + 10^-5 = 10^-12..

Kudos [?]: 48 [1], given: 0

Senior Manager
Joined: 04 Jan 2006
Posts: 276

Kudos [?]: 43 [0], given: 0

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09 Oct 2008, 11:38
albany09 wrote:
If k is an integer and (0.0025)(0.025)(0.00025) × 10^k is an integer, what is the least possible value of k ?

A. -12
B. -6
C. 0
D. 6
E. 12

a = 0.0025 = 25 x 10^-4
b = 0.025 = 25 x 10^-3
c = 0.00025 = 25 x 10^-5

abc x 10^k = ($$25^3$$) x (10^-12) x ($$10^k$$)

The least possible value of k is 12. This will make the above term an integer.

Kudos [?]: 43 [0], given: 0

Re: math---k   [#permalink] 09 Oct 2008, 11:38
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