GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 28 Mar 2020, 04:49

### GMAT 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

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

Practice
Pays

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

# If a is even, b is odd, and a^2 + b^2 = x which of following must be t

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Senior RC Moderator
Status: GMAT Club Team Member
Affiliations: GMAT Club
Joined: 02 Nov 2016
Posts: 5302
GPA: 3.62
If a is even, b is odd, and a^2 + b^2 = x which of following must be t  [#permalink]

### Show Tags

Updated on: 09 Feb 2020, 03:24
1
00:00

Difficulty:

5% (low)

Question Stats:

92% (00:50) correct 8% (01:13) wrong based on 50 sessions

### HideShow timer Statistics

If a is even, b is odd, and $$a^2 + b^2 = x$$ which of following must be true?

A. x is the square of an integer.

B. x is odd.

C. x is a multiple of a. x

D. is prime

E. $$a^2 - b^2 = x$$

_________________

Originally posted by SajjadAhmad on 05 Feb 2020, 08:49.
Last edited by Bunuel on 09 Feb 2020, 03:24, edited 1 time in total.
Edited the question.
GMATWhiz Representative
Joined: 07 May 2019
Posts: 387
Location: India
Re: If a is even, b is odd, and a^2 + b^2 = x which of following must be t  [#permalink]

### Show Tags

08 Feb 2020, 23:54
1
If a is even, b is odd, and $$a^2 + b^2 = x$$ which of following must be true?

A. x is the square of an integer.

B. x is odd.

C. x is a multiple of a. x

D. is prime

E. $$a^2 + b^2 = x$$

Solution:
• $$a$$ is even
o It means $$a^2$$ = $$even * even = even$$
• $$b$$ is odd
o It means,$$b^2 = odd*odd = odd$$
• $$a^2 + b^2 = Even + Odd = Odd$$
o $$x$$ must be odd.
Hence, the correct answer is Option B.
_________________

GMAT Prep truly Personalized using Technology

Prepare from an application driven course that serves real-time improvement modules along with a well-defined adaptive study plan. Start a free trial to experience it yourself and get access to 25 videos and 300 GMAT styled questions.

Score Improvement Strategy: How to score Q50+ on GMAT | 5 steps to Improve your Verbal score
Study Plan Articles: 3 mistakes to avoid while preparing | How to create a study plan? | The Right Order of Learning | Importance of Error Log
Helpful Quant Strategies: Filling Spaces Method | Avoid Double Counting in P&C | The Art of Not Assuming anything in DS | Number Line Method
Key Verbal Techniques: Plan-Goal Framework in CR | Quantifiers the tiny Game-changers | Countable vs Uncountable Nouns | Tackling Confusing Words in Main Point
Senior Manager
Joined: 14 Dec 2019
Posts: 459
Location: Poland
GMAT 1: 570 Q41 V27
WE: Engineering (Consumer Electronics)
Re: If a is even, b is odd, and a^2 + b^2 = x which of following must be t  [#permalink]

### Show Tags

09 Feb 2020, 03:11
1
i follow x will always be Odd but may I know when would E be not true? It is the given condition after all.
Math Expert
Joined: 02 Sep 2009
Posts: 62285
Re: If a is even, b is odd, and a^2 + b^2 = x which of following must be t  [#permalink]

### Show Tags

09 Feb 2020, 03:25
shameekv1989 wrote:
i follow x will always be Odd but may I know when would E be not true? It is the given condition after all.

There was a typo. E reads: $$a^2 - b^2 = x$$. Edited. Thank you.
_________________
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 9875
Location: United States (CA)
Re: If a is even, b is odd, and a^2 + b^2 = x which of following must be t  [#permalink]

### Show Tags

09 Feb 2020, 05:23
If a is even, b is odd, and $$a^2 + b^2 = x$$ which of following must be true?

A. x is the square of an integer.

B. x is odd.

C. x is a multiple of a. x

D. is prime

E. $$a^2 - b^2 = x$$

Since a is even and b is odd, then a^2 is even and b^2 is odd. Because the sum of an even integer and an odd integer is odd, then x must be odd.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
197 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Director
Joined: 12 Dec 2015
Posts: 516
Re: If a is even, b is odd, and a^2 + b^2 = x which of following must be t  [#permalink]

### Show Tags

09 Feb 2020, 05:32
If a is even, b is odd, and $$a^2 + b^2 = x$$ which of following must be true?

A. x is the square of an integer.

B. x is odd. --> correct: $$x= a^2 + b^2 = even*even + odd*odd = even + odd = odd$$

C. x is a multiple of a. x

D. is prime

E. $$a^2 - b^2 = x$$
SVP
Joined: 03 Jun 2019
Posts: 2318
Location: India
GMAT 1: 690 Q50 V34
WE: Engineering (Transportation)
Re: If a is even, b is odd, and a^2 + b^2 = x which of following must be t  [#permalink]

### Show Tags

09 Feb 2020, 07:21
If a is even, b is odd, and $$a^2 + b^2 = x$$ which of following must be true?

A. x is the square of an integer.

B. x is odd.

C. x is a multiple of a. x

D. is prime

E. $$a^2 - b^2 = x$$

$$a^2 + b^2 = x$$
a^2 is even & b^2 is odd
a^2 + b^2 = even + odd = odd

IMO B
Re: If a is even, b is odd, and a^2 + b^2 = x which of following must be t   [#permalink] 09 Feb 2020, 07:21
Display posts from previous: Sort by

# If a is even, b is odd, and a^2 + b^2 = x which of following must be t

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

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