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# M70-26

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Math Expert
Joined: 02 Sep 2009
Posts: 58445
M70-26  [#permalink]

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03 Sep 2018, 06:00
00:00

Difficulty:

25% (medium)

Question Stats:

71% (00:18) correct 29% (00:31) wrong based on 7 sessions

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What is the value of $$x$$?

(1) $$x^2=1$$

(2) $$x^3-x^2=0$$

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Math Expert
Joined: 02 Sep 2009
Posts: 58445
Re M70-26  [#permalink]

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03 Sep 2018, 06:00
Official Solution:

We’ll go for LOGICAL since logic is the first option in Data Sufficiency.

In general, whenever an expression equals 0, 1 or –1, we should consider them ‘weird, as the values of the variables making up the expression. (1) There are two numbers for which $$x^2 = 1$$: 1 and –1. But which is it? (A) and (D) are eliminated.

(2) There are two numbers for which $$x^3 − x^2 = 0$$: 0 and 1, but we don’t know which one is true. (B) is eliminated.

Combining (1) and (2) leaves us with only one option: 1. (E) is eliminated.

Answer: C
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Re M70-26   [#permalink] 03 Sep 2018, 06:00
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# M70-26

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