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# If A=0.abc, where a, b, and c are digits of A, is A greater

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Intern
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If A=0.abc, where a, b, and c are digits of A, is A greater [#permalink]

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03 Sep 2012, 01:22
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Question Stats:

64% (02:04) correct 36% (01:26) wrong based on 215 sessions

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If A=0.abc, where a, b, and c are digits of A, is A greater than 2/3?

(1) a+b>14
(2) b+c>15
[Reveal] Spoiler: OA

Last edited by Bunuel on 03 Sep 2012, 03:12, edited 2 times in total.
Renamed the topic and edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 33052
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Kudos [?]: 70658 [0], given: 9856

Re: Value after Decimal point. [#permalink]

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03 Sep 2012, 01:37
Expert's post
If A=0.abc, where a, b, and c are digits of A, is A greater than 2/3?

Is $$A>\frac{2}{3}$$? --> Is $$A>0.666...$$?

(1) a+b>14 --> since a and b are single digits, then the least value of a is 6 and in this case b must be 9 (a+b=6+9=15>14), thus the least value of A is 0.69, so more than 0.666... Sufficient.

(2) b+c>15. Clearly insufficient, since we know nothing about a.

Answer: A.

Similar questions to practice:
the-discreet-charm-of-the-ds-126962-40.html#p1039662
if-x-0-rstu-where-r-s-t-and-u-each-represent-a-nonzero-109735.html

Hope it helps.
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Math Expert
Joined: 02 Sep 2009
Posts: 33052
Followers: 5766

Kudos [?]: 70658 [0], given: 9856

Re: If A=0.abc, where a, b, and c are digits of A, is A greater [#permalink]

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24 Jun 2013, 03:17
Expert's post
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

All DS Fractions/Ratios/Decimals questions: search.php?search_id=tag&tag_id=36
All PS Fractions/Ratios/Decimals questions: search.php?search_id=tag&tag_id=57

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Kudos [?]: 16 [1] , given: 10

Re: If A=0.abc, where a, b, and c are digits of A, is A greater [#permalink]

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24 Jun 2013, 09:48
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Bunuel wrote:
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

All DS Fractions/Ratios/Decimals questions: search.php?search_id=tag&tag_id=36
All PS Fractions/Ratios/Decimals questions: search.php?search_id=tag&tag_id=57

Question: A greater than 2/3? or A greater than 0.6666?
This is again a YES or NO, question.
Getting either will be fine for the solution.

(1) a+b>14 or a+b>=15
The possible ways for a and b how we can get this is :

a b
6 9
7 8
8 7
9 6

these are the only possible combinations as anything less than 5 will make the other 10, and well anything more then 9 will result in a 10.

anyways, from the above possible values we can see that each is >=0.6666 =>Sufficient

(2) b+c>15

Here, the main digit that we are concerned about is a as that decides if the no is >=0.666 or not
even if b=c=9, but a=1, it will be less then 0.6666
or if a=b=c=9 the in that case it will be greater.

Anyway we need some information of A => Not Sufficient.

Ans : A
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PS: Like my approach? Please Help me with some Kudos.

Re: If A=0.abc, where a, b, and c are digits of A, is A greater   [#permalink] 24 Jun 2013, 09:48
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# If A=0.abc, where a, b, and c are digits of A, is A greater

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