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# What is the tenths digit in the decimal representation of a

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Manager
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What is the tenths digit in the decimal representation of a [#permalink]  19 Apr 2009, 20:15
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82% (01:42) correct 18% (00:36) wrong based on 140 sessions
What is the tenths digit in the decimal representation of a certain number?

(1) The number is less than $$\frac{1}{3}$$.
(2) The number is greater than $$\frac{1}{4}$$.

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 Question: 43 Page: 276 Difficulty: 600

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OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-tenths-digit-in-the-decimal-representation-of-a-139476.html
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Re: Q46 OG 11th ed [#permalink]  20 Apr 2009, 05:10
i think it is E

The number can be from 0.25XXXXX
to 0.33XXXXX

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Re: Q46 OG 11th ed [#permalink]  22 Apr 2009, 00:28
aharonm wrote:
i think it is E

The number can be from 0.25XXXXX
to 0.33XXXXX

Question asks for tenths digit. Isn't this the first digit to the right of the decimal point?
Don't you have to round to the tenth?
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Re: Q46 OG 11th ed [#permalink]  23 Apr 2009, 09:57
1) the number is less than 0.33333333333

the tenth digit can be 3, 2, 1 or zero

2) the number is greater than 0.25

the tenth digit can be 3,4, 5 ....... if you round, if you do not round then it can be 2,3,4,5.......

combining the two

number is less than 0.3333333 but greater than 0.25
if you round the number to nearest tenth digit it is always 3 if you do not round then it is either 2 or 3. So the answer can be C or E depending upon if you round or not.
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Re: Q46 OG 11th ed [#permalink]  27 Apr 2009, 20:58
.25<n<.33

so tenths digit can either be 2 or 3 since the question DOES NOT ask us to round

so E
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Re: Q46 OG 11th ed [#permalink]  20 Oct 2011, 11:54
Has to be E. Nothing is said about rounding, hence the answer can be either 2 or 3 after using both statements.
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Re: Q46 OG 11th ed [#permalink]  02 May 2014, 20:18
aharonm wrote:
i think it is E

The number can be from 0.25XXXXX
to 0.33XXXXX

I think the right answer should be C because from 0.25xxxx till 0.3, the Tenths digit will always be 2.
Please someone explain if I am wrong!

Sharmita
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Re: Q46 OG 11th ed [#permalink]  03 May 2014, 03:54
Expert's post
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msharmita wrote:
aharonm wrote:
i think it is E

The number can be from 0.25XXXXX
to 0.33XXXXX

I think the right answer should be C because from 0.25xxxx till 0.3, the Tenths digit will always be 2.
Please someone explain if I am wrong!

Sharmita

No, the correct answer is E, not C.

What is the tenths digit in the decimal representation of a certain number?

(1) The number is less than 1/3.

(2) The number is greater than 1/4.

Each statement alone is clearly insufficient. When taken together we have 0.25<x<0.333.... Hence the tenths digit can be 2 (for example if x= 0.251) or 3 (for example if x=0.3). Not sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-tenths-digit-in-the-decimal-representation-of-a-139476.html (In case of any further questions please post in this thread).

All OG13 questions with solutions are here: the-official-guide-quantitative-question-directory-143450.html
All Quantitative Review, 2ND Edition questions with solutions are here: quantitative-review-2nd-edition-directory-164896.html

Hope this helps.
_________________
Re: Q46 OG 11th ed   [#permalink] 03 May 2014, 03:54
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