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# If a and b are non-zero integers, is ab <1?

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Joined: 19 Dec 2016
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If a and b are non-zero integers, is ab <1?  [#permalink]

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Updated on: 22 Jul 2017, 22:23
1
00:00

Difficulty:

65% (hard)

Question Stats:

44% (00:55) correct 56% (00:47) wrong based on 39 sessions

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If a and b are non-zero integers, is a^b 0
(2) b < 0

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Originally posted by GTExl on 22 Jul 2017, 13:57.
Last edited by GTExl on 22 Jul 2017, 22:23, edited 1 time in total.
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Posts: 7686
Re: If a and b are non-zero integers, is ab <1?  [#permalink]

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22 Jul 2017, 20:39
GTExl wrote:
If a and b are non-zero integers, is ab <1?
(1) a > 0
(2) b < 0

Hi..
I don't think OA is correct.

Combined..
a is positive and b is NEGATIVE..
So ab will be NEGATIVE..
So ab<0...
Sufficient
C
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Re: If a and b are non-zero integers, is ab <1?  [#permalink]

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22 Jul 2017, 22:26
hi chetan2u

i did not notice that i have missed a sign while posting this question.it is a^b. i have corrected the mistake. check now.

thanks
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Re: If a and b are non-zero integers, is ab <1?  [#permalink]

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22 Jul 2017, 23:42
Hi..
I think ans is E

Statement 1:a>0 b<0 or b>0
Let a=2 and b= -2 then a^b= 1/4<1 "yes"
If a=1 and b= -1 then a^b =1 which is equal to 1 so "no"
Insufficient

Statement 2 : b<0 a<0 or a>0
Let a=-3 and b=-2 then a^b= 1/9<1"yes"
a=1 and b=-1 then a^b=1 "no"
Insufficient

Combining 1 and 2
Let a=1 and b=-1 then a^b=1 "no"
Let a=2 and b=-1 then a^b=1/2 "yes"
Insufficient
Ans E

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Re: If a and b are non-zero integers, is ab <1?  [#permalink]

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22 Jul 2017, 23:52
[quote="GTExl"]If a and b are non-zero integers, is a^b 0
(2) b 0 or a,b a has to be greater than 1, and b has to be less than 0.

1) a > 0
Insufficient. a can be 1, or 2 or any other integer.

2) b < 0
Insufficient. A can take any integer value.

1+2)
a =1, b = 1
ab = 1
a = 2, b = -1
ab = $$\frac{1}{2}$$ < 1
Insufficient.

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This discussion does not meet community quality standards. It has been retired.

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Re: If a and b are non-zero integers, is ab <1?   [#permalink] 22 Jul 2017, 23:52
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