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


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[Reveal] Spoiler: OA
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Joined: 26 Jan 2018
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GRE 1: Q165 V156
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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] New post 27 May 2018, 00:57
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462=2*3*7*11

hence highest factor is 11
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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] New post 16 Jun 2018, 08:11
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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.

Answer: B
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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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