What is the hundredths digit in the decimal expression of : GMAT Data Sufficiency (DS)
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# What is the hundredths digit in the decimal expression of

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What is the hundredths digit in the decimal expression of [#permalink]

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15 Nov 2010, 15:38
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What is the hundredths digit in the decimal expression of x/55

(1) x is the least common denominator of 1/7 and positive integer y
(2) x is prime.
[Reveal] Spoiler: OA

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Last edited by rxs0005 on 15 Nov 2010, 16:10, edited 1 time in total.
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Re: Arithmetic tough DS [#permalink]

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15 Nov 2010, 16:02
Hey RXS:

Can you retype Statement 1? You're missing the number/variable before "and", so it's tough to make sense of statement 1.

2 alone is not sufficient, so we can at least get started with that!

Thanks!
Brian
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Brian

Save $100 on live Veritas Prep GMAT Courses and Admissions Consulting Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options. Veritas Prep Reviews Veritas Prep GMAT Instructor Joined: 26 Jul 2010 Posts: 240 Followers: 215 Kudos [?]: 488 [1] , given: 29 Re: Arithmetic tough DS [#permalink] ### Show Tags 15 Nov 2010, 17:13 1 This post received KUDOS Thank you! Just one more clarification...I don't think you can have a "least common denominator" of a positive integer, so I'm going to treat this one as: 1) x is the least common denominator of 1/7 and 1/y (with y as a positive integer) If that's the case, 1 isn't sufficient on its own, as x could be 7, 14, 21, etc. And if you look at what the decimals would be of x/55: 7/55 will be something really small (less than 1/7 and just over 1/8, so maybe around .13) 14/55 will just double that (so maybe around .27) 21/55 will triple the original (.3-something) So we can tell that the hundredths digit will be different depending on which multiple of 7 x turns out to be. Together, though, if x is a prime number that's the lowest common denominator of y and 7, then x must be 7 (anything else divisible by 7 is not prime). So x/55 = 7/55, and whatever that hundredths digit turns out to be, there will only be one. So the answer here would be C. _________________ Brian Save$100 on live Veritas Prep GMAT Courses and Admissions Consulting

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Re: Arithmetic tough DS [#permalink]

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16 Nov 2010, 09:21
Could this be a trick question?

While you can't really have a lowest common denominator for an integer y, but you can represent y as y/1 which would yield a lowest common denominator of 7.
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Re: Arithmetic tough DS [#permalink]

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16 Nov 2010, 11:09
Guys the OA is A for this Bunuel can u help us on this , from what i gather u can have LCD of a fraction and an integer
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Re: Arithmetic tough DS [#permalink]

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16 Nov 2010, 14:38
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rxs0005 wrote:
What is the hundredths digit in the decimal expression of x/55

(1) x is the least common denominator of 1/7 and positive integer y
(2) x is prime.

If statement (1) is as you wrote and OA is A then:

(1) x is the least common denominator of 1/7 and positive integer y --> if x is the least common denominator of 1/7 and y/1 (where y is a positive integer) then x must equal to 7 (7 is a least common multiple of 7 and 1), so we can find the hundredths digit of 7/55. Sufficient.
(2) x is prime. Clearly insufficient.

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Re: Arithmetic tough DS [#permalink]

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27 Apr 2011, 00:25
rxs0005 wrote:
What is the hundredths digit in the decimal expression of x/55

(1) x is the least common denominator of 1/7 and positive integer y
(2) x is prime.

Bit strange, y can be also written as 14/7, 28/14 or so,giving an integral value.
In that case LCD becomes 7 or more.
Considering this scenario, b definitely comes into picture.
OA becomes C then.
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Re: Arithmetic tough DS [#permalink]

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27 Apr 2011, 00:43
amit2k9 wrote:
rxs0005 wrote:
What is the hundredths digit in the decimal expression of x/55

(1) x is the least common denominator of 1/7 and positive integer y
(2) x is prime.

Bit strange, y can be also written as 14/7, 28/14 or so,giving an integral value.
In that case LCD becomes 7 or more.
Considering this scenario, b definitely comes into picture.
OA becomes C then.

If it is written that "y" is +ve integer, it means that y is integer in its simplest form. What you have written is correct but is not in its simplest form.

BTW, I liked VeritasPrepBrian's tweak in the question. Made it more interesting.
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Re: Arithmetic tough DS [#permalink]

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05 Sep 2011, 11:29
Quote:
What is the hundredths digit in the decimal expression of x/55

(1) x is the least common denominator of 1/7 and positive integer y
(2) x is prime.

From Statement 1
Least common denominator of 1/7 and positive integer Y/1 ---> 7
So, x=7
Sufficient

From Statement 2
possible values of x ---> all prime nos.
Insufficient

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Re: What is the hundredths digit in the decimal expression of [#permalink]

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24 Aug 2015, 11:24
Bunuel wrote:
rxs0005 wrote:
What is the hundredths digit in the decimal expression of x/55

(1) x is the least common denominator of 1/7 and positive integer y
(2) x is prime.

If statement (1) is as you wrote and OA is A then:

(1) x is the least common denominator of 1/7 and positive integer y --> if x is the least common denominator of 1/7 and y/1 (where y is a positive integer) then x must equal to 7 (7 is a least common multiple of 7 and 1), so we can find the hundredths digit of 7/55. Sufficient.
(2) x is prime. Clearly insufficient.

You assumed Y is an integer, so what we should do on actual GMAT ? assume uknowns like y are integers? always?
Re: What is the hundredths digit in the decimal expression of   [#permalink] 24 Aug 2015, 11:24
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# What is the hundredths digit in the decimal expression of

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