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# If a, b, and c, are non-zero integers, is ab = ac?

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Manager
Status: Gathering chakra
Joined: 05 Feb 2018
Posts: 188
If a, b, and c, are non-zero integers, is ab = ac?  [#permalink]

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27 Mar 2019, 18:01
00:00

Difficulty:

55% (hard)

Question Stats:

33% (01:23) correct 67% (01:23) wrong based on 12 sessions

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If a, b, and c, are non-zero integers, is $$a^b = a^c$$?

(1) $$a^3 = a^4$$

(2) $$b^a = c^a$$
Manager
Joined: 13 Feb 2018
Posts: 205
GMAT 1: 640 Q48 V28
Re: If a, b, and c, are non-zero integers, is ab = ac?  [#permalink]

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28 Mar 2019, 02:17
1 stm: a=1 or a=0 as we have the constraint that a is non-zero integer we are left with a=1 suff
2 stm: if a is an odd integer then b=c but if a is an even integer b may be negative and c positive or vise-versa. not suff

Imo
Ans: A
Re: If a, b, and c, are non-zero integers, is ab = ac?   [#permalink] 28 Mar 2019, 02:17
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