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Is p + pz = p?

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Source: — Data Sufficiency |

Re: Is p + pz = p?

by Brent@GMATPrepNow » Sat Jul 25, 2020 6:42 am
BTGModeratorVI wrote:
Thu Jul 23, 2020 6:39 am
Is p + pz = p?

(1) p = 0
(2) z = 0

Answer: D
Source: GMAT prep
Target question: Is p + pz = p?

This is a great candidate for rephrasing the target question.

Take Is p + pz = p? and subtract p from both sides to get: Is pz = 0?

In order for pz to equal 0, it must be the case that either p = 0 or z = 0 (or they both equal 0)

REPHRASED target question: Does either p or z equal 0?

Statement 1: p = 0
This answers our REPHRASED target question perfectly.
Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT

Statement 2: z = 0
This answers our REPHRASED target question perfectly.
Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT

Answer: D
Brent Hanneson - Creator of GMATPrepNow.com
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