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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  If U is an odd number and V and W are different integers, which of the

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

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Difficulty:   25% (medium)

Question Stats: 80% (01:30) correct 20% (01:18) wrong based on 148 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
Intern  S
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, which of the  [#permalink]

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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, which of the  [#permalink]

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1
HieuNguyenVN - Thank You!
Intern  Joined: 29 Jun 2016
Posts: 41
Re: If U is an odd number and V and W are different integers, which of the  [#permalink]

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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
Manager  S
Joined: 18 Jul 2015
Posts: 71
GMAT 1: 530 Q43 V20 WE: Analyst (Consumer Products)
Re: If U is an odd number and V and W are different integers, which of the  [#permalink]

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Can any of the forum moderators/Bunuel add an OA to this question as this is from 2016. Thanks!

I go with E too. Below is my reasoning.

1. As there is no information about V and W apart from them being integers, $$V$$ and $$W$$ can be either made odd or even to disprove and eliminate the options
2. For an answer choice to be true, we need to ensure that the outcome is even for all possible odd/even combinations

A. $$UV + UW$$
Say, $$V$$ is even and $$W$$ is odd then - $$UV + UW$$ = $$odd*even + odd*odd$$ = $$even + odd$$ = $$odd$$

B. $$U + VW$$
Say, $$V$$ and $$W$$ are both even then - $$odd + even*even$$ = $$odd + even = odd$$

C. $$UVW$$
Say, $$V$$ and $$W$$ are odd, then as U is also odd the product will be odd

D. $$U + V + W$$
Say, $$V$$ is even and $$W$$ is even then - $$odd + even + even$$ = $$odd$$

This leaves us with the last option. Ans. E
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Math Expert V
Joined: 02 Sep 2009
Posts: 58446
Re: If U is an odd number and V and W are different integers, which of the  [#permalink]

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Pritishd wrote:
Can any of the forum moderators/Bunuel add an OA to this question as this is from 2016. Thanks!

_______________
Done. Thank you.
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Target Test Prep Representative D
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Re: If U is an odd number and V and W are different integers, which of the  [#permalink]

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ash42 wrote:
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

Although we know that U is odd, in order to be able to determine which answer choice must be even, we need information about V and W.

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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: If U is an odd number and V and W are different integers, which of the   [#permalink] 05 Oct 2019, 16:56
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