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# If a2 + b2 = 144 and ab ≠ 0, then the greatest possible value for b is

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Manager
Joined: 02 Jun 2015
Posts: 190
Location: Ghana
If a2 + b2 = 144 and ab ≠ 0, then the greatest possible value for b is  [#permalink]

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25 Oct 2016, 15:59
4
8
00:00

Difficulty:

35% (medium)

Question Stats:

69% (01:35) correct 31% (01:59) wrong based on 203 sessions

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If a^2 + b^2 = 144 and ab ≠ 0, then the greatest possible value for b is between

A) 16 and 13
B) 12 and 3
C) 11 and 4
D) 10 and 5
E) 9 and 6

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Manager
Joined: 28 Jun 2016
Posts: 207
Concentration: Operations, Entrepreneurship
Re: If a2 + b2 = 144 and ab ≠ 0, then the greatest possible value for b is  [#permalink]

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25 Oct 2016, 16:07
1
duahsolo wrote:
If a^2 + b^2 = 144 and ab ≠ 0, then the greatest possible value for b is between

A) 16 and 13
B) 12 and 3
C) 11 and 4
D) 10 and 5
E) 9 and 6

Since a ≠ 0, greatest possible value for b will be less than 12 but closer to it.

So it lies between 11 and 12

B
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Joined: 17 Jul 2014
Posts: 2556
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
Re: If a2 + b2 = 144 and ab ≠ 0, then the greatest possible value for b is  [#permalink]

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02 Aug 2017, 14:34
acegmat123 wrote:
duahsolo wrote:
If a^2 + b^2 = 144 and ab ≠ 0, then the greatest possible value for b is between

A) 16 and 13
B) 12 and 3
C) 11 and 4
D) 10 and 5
E) 9 and 6

Since a ≠ 0, greatest possible value for b will be less than 12 but closer to it.

So it lies between 11 and 12

B

thank you. I failed to take into consideration non-integer values...
Intern
Joined: 09 Jun 2017
Posts: 2
If a2 + b2 = 144 and ab ≠ 0, then the greatest possible value for b is  [#permalink]

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02 Aug 2017, 17:46
duahsolo wrote:
If a^2 + b^2 = 144 and ab ≠ 0, then the greatest possible value for b is between

A) 16 and 13
B) 12 and 3
C) 11 and 4
D) 10 and 5
E) 9 and 6

To determine the *greatest* possible value b, we should test values as close to 12 as possible (since a=0 and b=12 is not allowed). The question doesn't say b must be an integer, so we can try the square root of 143. That equals ~11.9--put another way, 11<b<12. Going through the answers:

A) Incorrect. b is less than 13.
B) Correct. Since 11<b<12, then it follows that 3<b<12.
C) Incorrect. b is greater than 11.
D) Incorrect. b is greater than 10.
E) Inccorect. b is greater than 9.
If a2 + b2 = 144 and ab ≠ 0, then the greatest possible value for b is   [#permalink] 02 Aug 2017, 17:46
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