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# A and B are nonzero integers, is A < 5B?

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Math Expert
Joined: 02 Sep 2009
Posts: 60646
A and B are nonzero integers, is A < 5B?  [#permalink]

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17 Sep 2015, 01:08
1
3
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Difficulty:

35% (medium)

Question Stats:

66% (01:29) correct 34% (01:11) wrong based on 106 sessions

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A and B are nonzero integers, is A < 5B?

(1) A/B < 5
(2) B > 3

Kudos for a correct solution.

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Re: A and B are nonzero integers, is A < 5B?  [#permalink]

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20 Sep 2015, 01:20
2
Bunuel wrote:
A and B are nonzero integers, is A < 5B?

(1) A/B < 5
(2) B > 3

Kudos for a correct solution.

Statement (1) is insufficient for not considering any specific sign of A and B

Statement (2) is insufficient for not providing information/sign about A

Together ,Combining Two statements satisfy the condition A<5B,where B is always positive and values of A <20

So the Correct Answer is C
Math Expert
Joined: 02 Sep 2009
Posts: 60646
Re: A and B are nonzero integers, is A < 5B?  [#permalink]

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20 Sep 2015, 21:59
2
Bunuel wrote:
A and B are nonzero integers, is A < 5B?

(1) A/B < 5
(2) B > 3

Kudos for a correct solution.

VERITAS PREP OFFICIAL SOLUTION:

The momentum is all toward answer choice A. Statement one can be rephrased as “A < 5B” which mirrors the question stem and seems to be sufficient. Statement 2 does not seem particularly relevant. Who cares if B > 3? Well you should actually. Statement 1 can only be rephrased as “A < 5B” provided that B is a positive number. If B is a negative number then the inequality gets flipped and the statement becomes “A > 5B .”

The GMAT uses your desire to try to be clever against you. Mirroring the question stem is a great strategy on test day and statement 1 appears to be perfect for this technique. Statement 2 is also very carefully crafted. If the statement had said “B > 0” it would be too obvious that “positive and negative” number property is in play on this question. So instead they use the seemingly random “B > 3” but of course if B is greater than 3 it must be positive as well. So we know that B cannot be negative and therefore it is safe to rephrase statement 1 as “A < 5B.” Since we relied on statement 2 the correct answer is C rather than A. In my experience at least twice as many students choose answer choice A than choose C.
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Re: A and B are nonzero integers, is A < 5B?  [#permalink]

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17 Sep 2015, 08:43
1
A and B are nonzero integers, is A < 5B?

(1) A/B < 5
If a=4, b=1 yes
If a=-4 and b=-5 no
Insufficient

(2) B > 3
No info given on A
Insufficient

Combined, 5b will always be larger than a/b as b is greater than 3 and a cannot take on a value greater than 5×greater than 3
Sufficient

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Re: A and B are nonzero integers, is A < 5B?  [#permalink]

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17 Sep 2015, 09:51
1
The answer is C

using both we get b>3 so A<5b
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Joined: 29 Jul 2015
Posts: 151
Re: A and B are nonzero integers, is A < 5B?  [#permalink]

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19 Sep 2015, 11:50
Bunuel wrote:
A and B are nonzero integers, is A < 5B?

(1) A/B < 5
(2) B > 3

Kudos for a correct solution.

Statement 1:
Doesn't tell about the sign of A or B,so we cannot answer the question.
INSUFFICIENT

Statement 2:
Doesn't tell anything about A.
INSUFFICIENT

Combining statements 1 and 2.
from statement 2 we know that B is positive and greater than 3.
If we combine this with statement 1, we know for sure that 5B is greater than A as A can only take values for which A/B<5
SUFFICIENT

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Re: A and B are nonzero integers, is A < 5B?  [#permalink]

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25 Nov 2019, 11:01
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Re: A and B are nonzero integers, is A < 5B?   [#permalink] 25 Nov 2019, 11:01
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