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

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Math Expert
Joined: 02 Sep 2009
Posts: 57229
If a and b are two consecutive integers, then which is smaller.  [#permalink]

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12 Jul 2019, 01:46
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55% (hard)

Question Stats:

51% (01:09) correct 49% (01:08) wrong based on 77 sessions

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If a and b are two consecutive integers, then what is the value of the smaller of the two?

(1) ab = 6
(2) 3^a > 1

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Joined: 03 Jun 2019
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Location: India
Re: If a and b are two consecutive integers, then which is smaller.  [#permalink]

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12 Jul 2019, 02:01
Bunuel wrote:
If a and b are two consecutive integers, then what is the value of the smaller of the two?

(1) ab = 6
(2) 3^a > 1

P: a and b are two consecutive integers => b =a+1 when a is smaller of the two
Q: what is the value of the smaller of the two?

#1: ab = 6
a(a+1)=6
a=2 or a = -3
NOT SUFFICIENT

#2: $$3^a > 1$$
a>0
NOT SUFFICIENT

#1 & #2:
#1: ab = 6 => a=2 or a = -3
#2: a>0
=> a=2 since a>0
SUFFICIENT

IMO C
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Re: If a and b are two consecutive integers, then which is smaller.  [#permalink]

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12 Jul 2019, 11:11
Bunuel wrote:
If a and b are two consecutive integers, then what is the value of the smaller of the two?

(1) ab = 6
(2) 3^a > 1

#1
x*(x+1)=6
so x = -3 or 2
insufficient
#2
3^a>1 b not given but a is +ve
from 1 & 2
a has to be 2 sufficient
IMO C
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Joined: 26 Mar 2019
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Re: If a and b are two consecutive integers, then which is smaller.  [#permalink]

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07 Aug 2019, 03:47
Why are we only considering b= a+1 and not a=b+1 ?
Re: If a and b are two consecutive integers, then which is smaller.   [#permalink] 07 Aug 2019, 03:47
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