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# If a is a positive even integer, and ab is a negative even i

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 102

Kudos [?]: 1736 [0], given: 397

If a is a positive even integer, and ab is a negative even i [#permalink]  17 Mar 2018, 07:24
Expert's post
00:00

Question Stats:

28% (00:50) correct 71% (00:35) wrong based on 7 sessions
If a is a positive even integer, and ab is a negative even integer, then b must be which of the following?

A. A negative number
B. A negative even integer
C. A negative integer
D. A positive even integer
E. A positive integer

Drill 2
Question: 4
Page: 497
[Reveal] Spoiler: OA

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 102

Kudos [?]: 1736 [0], given: 397

Re: If a is a positive even integer, and ab is a negative even i [#permalink]  18 Mar 2018, 06:57
Expert's post
Explanation

The problem contains the phrase “must be,” so try to find numbers to plug in that disprove four of the five answer choices.

If a = 4 and ab = –12, then b = –3; eliminate choices (B), (D), and (E). Now determine whether b must be an integer. If a = 4 and ab = –2, then b
=$$\frac{-1}{2}$$ ; eliminate choice (C), and you’re left with choice (A), the correct answer.
_________________

Sandy
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Re: If a is a positive even integer, and ab is a negative even i   [#permalink] 18 Mar 2018, 06:57
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# If a is a positive even integer, and ab is a negative even i

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