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

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

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New post 15 Aug 2016, 22:22
1
00:00
A
B
C
D
E

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(N/A)

Question Stats:

92% (01:05) correct 8% (01:13) wrong based on 149 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!
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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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New post 16 Aug 2016, 00:13
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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Re: If U is an odd number and V and W are different integers...  [#permalink]

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New post 16 Aug 2016, 07:09
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HieuNguyenVN - Thank You!
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Re: If U is an odd number and V and W are different integers...  [#permalink]

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New post 17 Aug 2016, 20:31
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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Re: If U is an odd number and V and W are different integers...  [#permalink]

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New post 30 Dec 2018, 12:29
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Re: If U is an odd number and V and W are different integers... &nbs [#permalink] 30 Dec 2018, 12:29
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