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If a and b are two consecutive integers, then which is

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Director
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If a and b are two consecutive integers, then which is [#permalink] New post 11 Oct 2011, 01:52
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A
B
C
D
E

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Question Stats:

78% (01:37) correct 22% (00:00) wrong based on 9 sessions
If a and b are two consecutive integers, then which is smaller.

(1) ab = 6
(2) 3^a > 1
[Reveal] Spoiler: OA

Last edited by nonameee on 12 Oct 2011, 02:31, edited 1 time in total.
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Director
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Re: Consecutive integers: find a smaller number [#permalink] New post 11 Oct 2011, 01:55
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My solution:

(1) ab = 6

a = 3 b = 2 ab = 6
a = 2 b = 3 ab = 6
a = -3 b = -2 ab = 6
a = -2 b = -3 ab = 6

insufficient

(2) 3^a > 1

=> a > 0

not useful

(1) + (2)

a = 3 b = 2 ab = 6
a = 2 b = 3 ab = 6

insufficient

E
Expert Post
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Re: Consecutive integers: find a smaller number [#permalink] New post 12 Oct 2011, 02:18
Expert's post
nonameee wrote:
My solution:

(1) ab = 6

a = 3 b = 2 ab = 6
a = 2 b = 3 ab = 6
a = -3 b = -2 ab = 6
a = -2 b = -3 ab = 6

insufficient

(2) 3^a > 1

=> a > 0

not useful

(1) + (2)

a = 3 b = 2 ab = 6
a = 2 b = 3 ab = 6

insufficient

E


You are right. The answer should be (E).
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Director
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Kudos [?]: 23 [0], given: 7

Re: Consecutive integers: find a smaller number [#permalink] New post 12 Oct 2011, 02:31
OK. thanks everyone. I will edit the the OA.
Manager
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Re: Consecutive integers: find a smaller number [#permalink] New post 12 Oct 2011, 07:56
For a moment I thought to revisit my notes. Luckily its E :D
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Re: Consecutive integers: find a smaller number [#permalink] New post 12 Oct 2011, 20:36
1. Not sufficient

ab=6

a---b

3---2 a>b
2----3 b>a

2. Not sufficient

3^a >1

=>a>0 and can be 1 , 2,3.....

together, Not sufficient

a>0 and ab=6

a=1,b=6 b>a

a=3,b=2, a>b

Answer is E.
Re: Consecutive integers: find a smaller number   [#permalink] 12 Oct 2011, 20:36
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