Last visit was: 19 Nov 2024, 00:36 It is currently 19 Nov 2024, 00:36

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
avatar
Intern
Intern
Joined: 25 Sep 2019
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 0
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 29978
Own Kudos [?]: 36278 [0]
Given Kudos: 25915
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 29978
Own Kudos [?]: 36278 [0]
Given Kudos: 25915
Send PM
Intern
Intern
Joined: 19 Sep 2019
Posts: 48
Own Kudos [?]: 42 [0]
Given Kudos: 11
Send PM
Re: If p^q + r is an even number which of the following m [#permalink]
Why can't C be the answer?

(p^q) and r can be (even and even) or (odd and odd) since their sum is even.
When even p+r = even
When odd p+r = even
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12192 [0]
Given Kudos: 136
Send PM
Re: If p^q + r is an even number which of the following m [#permalink]
2
3152gs wrote:
Why can't C be the answer?

(p^q) and r can be (even and even) or (odd and odd) since their sum is even.
When even p+r = even
When odd p+r = even


Here's a counter-example:

If \(p^q + r\) is even, it COULD be the case that p = 2, q = 0 and r = 3 (since \(2^0 + 3 = 1+3=4\), which is even)

In this case, \(p+r=2+3=5\), which is odd so p + r need not be even.
Eliminate C

Cheers,
Brent
Intern
Intern
Joined: 19 Sep 2019
Posts: 48
Own Kudos [?]: 42 [0]
Given Kudos: 11
Send PM
Re: If p^q + r is an even number which of the following m [#permalink]
Thanks. i completely ignored the fact that q could also be 0. Fell right into the trap. smh
Verbal Expert
Joined: 18 Apr 2015
Posts: 29978
Own Kudos [?]: 36278 [0]
Given Kudos: 25915
Send PM
Re: If p^q + r is an even number which of the following m [#permalink]
Expert Reply
pqr can be also odd
avatar
Intern
Intern
Joined: 20 Mar 2018
Posts: 39
Own Kudos [?]: 127 [0]
Given Kudos: 0
GRE 1: Q163 V149

GRE 2: Q168 V162
GPA: 3.5
Send PM
Re: If p^q + r is an even number which of the following m [#permalink]
1
For the term to be even, both p^q and r has to be either odd or even at the same time.
If r is odd, p^q has to be odd --> For p^q has to be odd p has to be odd q can be either odd or even;
This can help us in eliminating all the choices. Hence, E
Prep Club for GRE Bot
Re: If p^q + r is an even number which of the following m [#permalink]
Moderators:
GRE Instructor
78 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne