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# What is the two-digit positive integer whose tens digit is a

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Intern
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What is the two-digit positive integer whose tens digit is a [#permalink]

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08 Mar 2012, 07:30
00:00

Difficulty:

55% (hard)

Question Stats:

68% (01:39) correct 32% (01:42) wrong based on 128 sessions

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What is the two-digit positive integer whose tens digit is a and whose units digit is b?

(1) 2a > 3b > 6
(2) a > 2b > 6
[Reveal] Spoiler: OA

Last edited by Bunuel on 08 Mar 2012, 08:57, edited 1 time in total.
Edited the question

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Re: Question on number property [#permalink]

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08 Mar 2012, 07:55
a) 2a> 3b > 6

a=9, b=5 18> 15> 6
or
a=8, b=4 16> 12> 6

Insufficient

b) a > 2b > 6

a=9, b=4 9>8>6

This is the only possibility.

Sufficient.

B
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Re: Question on number property [#permalink]

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08 Mar 2012, 08:56
Expert's post
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babusona wrote:
What is the 2 digit positive integer whose 1st digit is a and 2nd digit is b?
a) 2a > 3b > 6
b) a > 2b > 6

What is the two-digit positive integer whose tens digit is a and whose units digit is b?

(1) 2a > 3b > 6 --> several cases are possible, for example b=3 and and a=5 or b=4 and and a=7. Not sufficient.

(2) a > 2b > 6 --> the least value of 2b is 8, for b=4 and since a is a single digit it can only be 9 (if b>4 then a won't be a single digit anymore). Sufficient.

Similar questions to practice:
if-x-0-abcd-where-a-b-c-and-d-each-represent-a-nonzero-127399.html
if-x-0-rstu-where-r-s-t-and-u-each-represent-a-nonzero-109735.html

Hope it helps.
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Re: What is the two-digit positive integer whose tens digit is a [#permalink]

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02 Oct 2017, 19:22
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Re: What is the two-digit positive integer whose tens digit is a [#permalink]

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02 Oct 2017, 22:08
in the statement B only 'a' is given hinting that most largest number should be 9, and 2b should be in this case is 8,
where as in statement a we have multiple answer.

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Re: What is the two-digit positive integer whose tens digit is a   [#permalink] 02 Oct 2017, 22:08
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