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

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

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New post Updated on: 08 Mar 2012, 07:57
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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

Originally posted by babusona on 08 Mar 2012, 06:30.
Last edited by Bunuel on 08 Mar 2012, 07:57, edited 1 time in total.
Edited the question
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Re: Question on number property  [#permalink]

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New post 08 Mar 2012, 06:55
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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New post 08 Mar 2012, 07:56
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


Original question reads:
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.

Answer: B.

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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New post 02 Oct 2017, 21:08
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.

So answer should be B
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Re: What is the two-digit positive integer whose tens digit is a  [#permalink]

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New post 04 Oct 2018, 02:45
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: What is the two-digit positive integer whose tens digit is a &nbs [#permalink] 04 Oct 2018, 02:45
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