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# If c = 3.905 X 10^x and x is a negative integer, what is x?

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Joined: 26 Mar 2013
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If c = 3.905 X 10^x and x is a negative integer, what is x?  [#permalink]

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Updated on: 18 Jul 2017, 09:18
2
00:00

Difficulty:

35% (medium)

Question Stats:

69% (01:53) correct 31% (01:56) wrong based on 64 sessions

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If $$c = 3.905*10^x$$ and x is a negative integer, what is x?

(1) $$0.00005 < c < 0.0005$$

(2) $$10^{-4} < c <10^{-3}$$

Originally posted by Mo2men on 18 Jul 2017, 09:14.
Last edited by Bunuel on 18 Jul 2017, 09:18, edited 1 time in total.
Edited the question.
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Joined: 02 Aug 2009
Posts: 7683
If c = 3.905 X 10^x and x is a negative integer, what is x?  [#permalink]

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18 Jul 2017, 10:25
2
If $$c = 3.905*10^x$$ and x is a negative integer, what is x?

(1) $$0.00005 < c < 0.0005$$
clearly C must be 0.0003905...
Or $$5*10^{-5}<c<5*10^{-4}$$. So x is -4
Sufficient

(2) $$10^{-4} < c <10^{-3}$$
this means x is between 0.0001 and 0.001...
Also 3.905*10^{-4} will be > 10^-4 and <10*10^-4...
Again x is -4
Sufficient

D
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Re: If c = 3.905 X 10^x and x is a negative integer, what is x?  [#permalink]

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22 Apr 2019, 00:36
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Re: If c = 3.905 X 10^x and x is a negative integer, what is x?   [#permalink] 22 Apr 2019, 00:36
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