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# Does a = 0? (1) a^3(8.12) = a^4(8.12) (2) ab ≠ b

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Manager
Joined: 02 Jun 2015
Posts: 191
Location: Ghana
Does a = 0? (1) a^3(8.12) = a^4(8.12) (2) ab ≠ b  [#permalink]

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17 Feb 2017, 02:48
1
00:00

Difficulty:

35% (medium)

Question Stats:

71% (01:36) correct 29% (01:11) wrong based on 46 sessions

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Does a = 0?

(1) a^3(8.12) = a^4(8.12)
(2) ab ≠ b

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Intern
Joined: 17 Oct 2016
Posts: 11
Re: Does a = 0? (1) a^3(8.12) = a^4(8.12) (2) ab ≠ b  [#permalink]

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17 Feb 2017, 03:01
Does a = 0?

(1) a^3(8.12) = a^4(8.12)
(2) ab ≠ b

(1) Statement 1 can be rephrased as: $$a^3 = a^4$$. Thus a can be 0 or 1 and this statement is not sufficient
(1) If a = 0 and b = 1, then ab ≠ b. If a = 2 and b = 3, then ab ≠ b. Since we have two possible values for a, this Statement is not sufficient.

Taking together the two Statements provide enough information. From Statement 1 a can be 1 or 0 and from Statement 2 can be 0 but not 1.
Re: Does a = 0? (1) a^3(8.12) = a^4(8.12) (2) ab ≠ b &nbs [#permalink] 17 Feb 2017, 03:01
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