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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If a and h are both positive even integers, which of the fol  Question banks Downloads My Bookmarks Reviews Important topics
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Moderator  Joined: 18 Apr 2015
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If a and h are both positive even integers, which of the fol [#permalink]
Expert's post 00:00

Question Stats: 90% (00:38) correct 9% (00:32) wrong based on 11 sessions
If $$a$$ and $$b$$ are both positive even integers, which of the following must be even?

I. $$a^b$$

II. $$(a+1)^b$$

III. $$a^{(b+1)}$$

(A) I only

(B) II only

(C) I and II only

(D) I and III only

(E) I, II, and III
[Reveal] Spoiler: OA

_________________
Manager Joined: 26 Jan 2018
Posts: 182
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Kudos [?]: 110 , given: 3

Re: If a and h are both positive even integers, which of the fol [#permalink]
I think the answer should be B .Only 2.

Irrespective of number of times an even number is multiplied by itself, the value would still be even. However in 2, 1 is added and then multiplied b number of times with same snumber. So an odd number power even number would still give an odd number.
Moderator  Joined: 18 Apr 2015
Posts: 5888
Followers: 96

Kudos [?]: 1154 , given: 5471

Re: If a and h are both positive even integers, which of the fol [#permalink]
Expert's post
and b are both positive integers. Nothing in the stem says they could be equal or not

A= 2 and b =2

II $$(2+1)^2 = 3^2= odd$$

II is not possible
_________________ Manager  Joined: 06 Jun 2018
Posts: 94
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Re: If a and h are both positive even integers, which of the fol [#permalink]
1
KUDOS
Carcass wrote:
If $$a$$ and $$b$$ are both positive even integers, which of the following must be even?

I. $$a^b$$

II. $$(a+1)^b$$

III. $$a^{(b+1)}$$

(A) I only

(B) II only

(C) I and II only

(D) I and III only

(E) I, II, and III

it's given that a and b are both positive integers.

1. even having an even exponent yields an even . True.
2. even+1=odd. an odd integer having even exponent yields odd.
3. even having odd exponent yields even integer.

Thus , 1+3 is correct. The best answer is D. Re: If a and h are both positive even integers, which of the fol   [#permalink] 06 Jun 2018, 12:55
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# If a and h are both positive even integers, which of the fol  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.