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If w,x,y and z are integers such that 1<w<x<y<z and wxyz = 4

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Kudos [?]: 770 [1] , given: 88

If w,x,y and z are integers such that 1<w<x<y<z and wxyz = 4 [#permalink]  22 May 2018, 08:17
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Question Stats:

92% (00:51) correct 7% (00:41) wrong based on 13 sessions
If w,x,y and z are integers such that $$1<w<x<y<z$$ and $$w*x*y*z$$ = 462, then z = ?

A. 7
B. 11
C. 14
D. 21
E. 42

sr: Orbit Test Prep
[Reveal] Spoiler: OA
Manager
Joined: 26 Jan 2018
Posts: 189
GRE 1: Q165 V156
Followers: 1

Kudos [?]: 132 [1] , given: 3

Re: If w,x,y and z are integers such that 1<w<x<y<z and wxyz = 4 [#permalink]  27 May 2018, 00:57
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462=2*3*7*11

hence highest factor is 11
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 09 May 2016
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Location: United States
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Kudos [?]: 195 [1] , given: 0

Re: If w,x,y and z are integers such that 1<w<x<y<z and wxyz = 4 [#permalink]  16 Jun 2018, 08:11
1
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Expert's post
amorphous wrote:
If w,x,y and z are integers such that $$1<w<x<y<z$$ and $$w*x*y*z$$ = 462, then z = ?

A. 7
B. 11
C. 14
D. 21
E. 42

462 = 2 x 231 = 2 x 11 x 21 = 2 x 3 x 7 x 11; thus, z = 11.

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Re: If w,x,y and z are integers such that 1<w<x<y<z and wxyz = 4   [#permalink] 16 Jun 2018, 08:11
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