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# If U is an odd number and V and W are different integers...

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Intern
Joined: 14 Aug 2016
Posts: 4
If U is an odd number and V and W are different integers...  [#permalink]

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15 Aug 2016, 23:22
3
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(N/A)

Question Stats:

90% (01:05) correct 10% (01:03) wrong based on 174 sessions

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If U is an odd number and V and W are different integers, which of the following must be even?

a. UV+UW
b. U+VW
c. UVW
d. U+V+W
e. None of these

Any help in explaining the solution to this problem is appreciated, thanks!
Intern
Joined: 21 Nov 2014
Posts: 31
Location: Viet Nam
GMAT 1: 760 Q50 V44
Re: If U is an odd number and V and W are different integers...  [#permalink]

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16 Aug 2016, 01:13
2
The answer is E. None of the above must be even.

Just plug in some numbers and you will see.
Let U = 3.

a. UV + UW
If V = 1 and W = 2 -> UV + UW = 3*1 + 3*2 = 9 (Odd)
b. U + VW
If V = 1 and W = 2 -> U+VW = 3 + 1*2 = 5 (Odd)
c. UVW
If V = 1 and W = 5 -> UVW = 1*3*5 = 15 (Odd)
d. U + V + W
If V = 1 and W = 5 -> U + V + W = 1 + 3 + 5 = 9 (Odd)

--> Answer is E.
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Intern
Joined: 14 Aug 2016
Posts: 4
Re: If U is an odd number and V and W are different integers...  [#permalink]

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16 Aug 2016, 08:09
1
HieuNguyenVN - Thank You!
Intern
Joined: 29 Jun 2016
Posts: 43
Re: If U is an odd number and V and W are different integers...  [#permalink]

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17 Aug 2016, 21:31
u is odd and v,w are itegers
We know
o*o=o
e*o=e

A. U(V+W) => o*(e or o)=> V+W can be odd or even as noting is mentioned=> cannot say
B. U+VW =>o+(0 or e) => cannot say
c. UVW =>o*(e or o) =. cannot say
D. U+V+W=>o+(e or o)=>cannot say

thus answer none of these
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Joined: 09 Sep 2013
Posts: 11430
Re: If U is an odd number and V and W are different integers...  [#permalink]

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30 Dec 2018, 13:29
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Re: If U is an odd number and V and W are different integers...   [#permalink] 30 Dec 2018, 13:29
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