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# If b is an integer, is a|a| < 2^b

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Joined: 18 Nov 2013
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If b is an integer, is a|a| < 2^b  [#permalink]

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Updated on: 14 Oct 2015, 09:47
3
00:00

Difficulty:

35% (medium)

Question Stats:

74% (01:47) correct 26% (01:50) wrong based on 153 sessions

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If b is an integer, is $$a|a| < 2^b$$

1) b<0
2) a=b

Originally posted by harish1986 on 14 Oct 2015, 08:49.
Last edited by ENGRTOMBA2018 on 14 Oct 2015, 09:47, edited 1 time in total.
Formatted the question, added the OA and renamed the topic.
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Re: If b is an integer, is a|a| < 2^b  [#permalink]

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14 Oct 2015, 09:18
1
1
harish1986 wrote:

Statement 1: b < 0

Case 1: @a=0.1, b=-1, a*IaI=0.01 and 2^b = 1/2, i.e. a*IaI < 2^b
Case 2: @a=1, b=-1, a*IaI=1 and 2^b = 1/2, i.e. a*IaI > 2^b

NOT SUFFICIENT

Statement 2: a=b
Case 1: @a=2, b=2, a*IaI=4 and 2^b = 4, i.e. a*IaI is NOT less than 2^b
Case 2: @a=-1, b=-1, a*IaI=-1 and 2^b = 1/2, i.e. a*IaI < 2^b

Combining the Two statements
if a=b and b < 0
then LHS i.e. a*IaI will always be Negative and RHS i.e. 2^b will always be positive hence,
a*IaI < 2^b
SUFFICIENT

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Re: If b is an integer, is a|a| < 2^b  [#permalink]

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14 Oct 2015, 09:19
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harish1986 wrote:

Please read the posting rules and post DS question in appropriate Forum.

Also your posts should include answers as well (if you know them)

Engr2012 or Bunuel : Please shift this question to DS forum and edit the answer
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Re: If b is an integer, is a|a| < 2^b  [#permalink]

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14 Oct 2015, 09:48
GMATinsight wrote:
harish1986 wrote:

Please read the posting rules and post DS question in appropriate Forum.

Also your posts should include answers as well (if you know them)

Engr2012 or Bunuel : Please shift this question to DS forum and edit the answer

Thanks. Moved to DS forum.
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Re: If b is an integer, is a|a| < 2^b  [#permalink]

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15 Aug 2017, 07:35
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: If b is an integer, is a|a| < 2^b   [#permalink] 15 Aug 2017, 07:35
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