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For his birthday, Brian will receive either three or four

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GMAT Club Legend
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1549 [1] , given: 365

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For his birthday, Brian will receive either three or four [#permalink] New post 30 Dec 2017, 14:13
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Question Stats:

40% (01:25) correct 60% (01:31) wrong based on 5 sessions
For his birthday, Brian will receive either three or four differently colored ties, either two or three differently colored shirts, and either one or two differently colored jackets. Depending on how many ties, shirts, and jackets he receives, which of the following values could be the number of ways he could make an outfit with one tie, one shirt, and one jacket?

Indicate all possible values.

A. 6
B. 8
C. 9
D. 10
E. 12
F. 16
G. 18

Drill 4
Question: 13
Page: 365
[Reveal] Spoiler: OA

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Sandy
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1 KUDOS received
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4647
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 85

Kudos [?]: 1549 [1] , given: 365

CAT Tests
Re: For his birthday, Brian will receive either three or four [#permalink] New post 12 Jan 2018, 15:36
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Explanation

Rather than writing out every possible outcome, see if you can express the answer choices as the product of 3 factors that could be the number of ties, shirts, and jackets Brian receives.

Choice (A) is possible: 3 ties × 2 shirts × 1 jacket = 6 outfits.

Choice (B) is possible: 4 ties × 2 shirts × 1 jacket = 8 outfits.

Choice (C) is possible: 3 ties × 3 shirts × 1 jacket = 9 outfits.

Choice (D) is not possible: you’d need a 5 as a factor to get to 10, and Brian can’t receive 5 of anything, so eliminate choice (D).

Choice (E) is possible in 2 different ways: 3 ties × 2 shirts × 2 jackets = 12 outfits, as does 4 ties × 3 shirts × 1 jacket.

Choice (F) is possible: 4 ties × 2 shirts × 2 jackets = 16 outfits.

And, finally, choice (G) is possible: 3 ties × 3 shirts × 2 jackets = 18 outfits.

All of the choices except choice (D) work.
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Sandy
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Re: For his birthday, Brian will receive either three or four   [#permalink] 12 Jan 2018, 15:36
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For his birthday, Brian will receive either three or four

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