Which of the two values 10^(-2) and 10^(-3), is x more close

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Which of the two values 10^(-2) and 10^(-3), is x more close [#permalink]

22 Mar 2012, 03:49

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Which of the two values 10^(-2) and 10^(-3), is x more close to?

(1) x is more close to 10^(-4) than to 10^(-1).
(2) x is more close to 10^(-3) than to 10^(-1).

[Reveal] Spoiler: OA

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Re: DS: exponents [#permalink]

22 Mar 2012, 04:45

Not sure if this is the correct way of tackling this qns but this is how I did it.

I take all the 10^(-X) out and just take the qns as :

Which of the two values 2 and 3, is x more close to?

(1) x is more close to 4 than to 1.
(2) x is more close to 3 than to 1.

If we draw a number line,

1 ---- 2 ---- 3 ---- 4 ,

statement 1 says that X is closer to 4 than 1, so, X is definitely to the right side of 2.5

1---- 2 --2.5-- 3 ---- 4
X
Statement 1 is SUFFICIENT.
Since Statement 1 is sufficient, Option B, C and E are out. Answer can only be A or D.

Statement 2 says X is closer to 3 than to 1. Which means X is larger than 2

1---- 2 ---- 3
X
(but we don't know if X is closer to 2 or 3).
Thus, Statement 2 INSUFFICIENT.

IMO, A

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Re: DS: exponents [#permalink]

22 Mar 2012, 04:50

Hi,

IMOA D

Statement 1 :
X is closer to 10^-4 thus X will be definately closer to 10^-3 than 10^-2
Thus sufficient

Statement 2 :
X is closer to 10^-3 which is sufficient

Hence D

Hope this helps
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Re: DS: exponents [#permalink]

22 Mar 2012, 05:33

boomtangboy wrote:

Hi,

IMOA D

Statement 1 :
X is closer to 10^-4 thus X will be definately closer to 10^-3 than 10^-2
Thus sufficient

Statement 2 :
X is closer to 10^-3 which is sufficient

Hence D

Hope this helps

Statement 2 does mention that X is closer to 10^-3 compared to 10^-1

Thus, in actual fact, Statement 2 could be saying that X = 10^-2.1 (which is closer to 10^-3 compared to 10^-1, but closer to 10^-2 compared to 10^-3).
At the same time, Statement 2 could be saying that X = 10^-2.9 (which is closer to 10^-3 compared to 10^-1, but closer to 10^-3 compared to 10^-2).

This was why I thought that Statement 2 was Insufficient. Hence, IMO = A

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Re: DS: exponents [#permalink]

22 Mar 2012, 06:02

This post received
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Smita04 wrote:

Which of the two values 10^(-2) and 10^(-3), is x more close to?

(1) x is more close to 10^(-4) than to 10^(-1).
(2) x is more close to 10^(-3) than to 10^(-1).

10^(-4), 10^(-3), 10^(-2) and 10^(-1) are positioned on the number line in the following way:

-(0,0001)-(0.001)---------(0.01)---------------------------------------------------------------------------------(0.1)-

Question asks which of the two middle numbers x is closer to.

(1) says that x closer to the first number than to the fourth, but it could be anywhere between the two middle numbers. Not sufficient.

(2) says that x closer to the second number than to the fourth, but it could be anywhere between the two middle numbers. Not sufficient.

(1)+(2) x could still be anywhere between the two middle numbers, so we cannot say which number x is more close to. Not sufficient.

Answer: E.

P.S. You can consider easier numbers to manipulate with:

-(1)-(10)---------(100)---------------------------------------------------------------------------------(1000)-
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Re: DS: exponents [#permalink] 22 Mar 2012, 06:02

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Which of the two values 10^(-2) and 10^(-3), is x more close

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Which of the two values 10^(-2) and 10^(-3), is x more close

Which of the two values 10^(-2) and 10^(-3), is x more close

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