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What is the tenths digit in the decimal representation of a

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What is the tenths digit in the decimal representation of a [#permalink] New post 19 Apr 2009, 20:15
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

82% (01:48) correct 18% (00:35) wrong based on 98 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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OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-tenths-digit-in-the-decimal-representation-of-a-139476.html
[Reveal] Spoiler: OA
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Re: Q46 OG 11th ed [#permalink] New post 20 Apr 2009, 05:10
i think it is E

The number can be from 0.25XXXXX
to 0.33XXXXX

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

The number can be from 0.25XXXXX
to 0.33XXXXX

what is right answer?


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] New post 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] New post 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] New post 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] New post 02 May 2014, 20:18
aharonm wrote:
i think it is E

The number can be from 0.25XXXXX
to 0.33XXXXX

what is right answer?



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] New post 03 May 2014, 03:54
Expert's post
1
This post was
BOOKMARKED
msharmita wrote:
aharonm wrote:
i think it is E

The number can be from 0.25XXXXX
to 0.33XXXXX

what is right answer?



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.

Answer: E.

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).

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Re: Q46 OG 11th ed   [#permalink] 03 May 2014, 03:54
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