Last visit was: 14 Dec 2024, 20:32 It is currently 14 Dec 2024, 20:32
Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
User avatar
Sajjad1994
User avatar
GRE Forum Moderator
Joined: 02 Nov 2016
Last visit: 14 Dec 2024
Posts: 14,163
Own Kudos:
41,639
 []
Given Kudos: 5,905
GPA: 3.62
Products:
Posts: 14,163
Kudos: 41,639
 []
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
GMATWhizTeam
User avatar
GMATWhiz Representative
Joined: 07 May 2019
Last visit: 10 Dec 2024
Posts: 3,392
Own Kudos:
1,966
 []
Given Kudos: 68
Location: India
GMAT 1: 740 Q50 V41
GMAT 2: 760 Q51 V40
Expert reply
GMAT 2: 760 Q51 V40
Posts: 3,392
Kudos: 1,966
 []
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
shameekv1989
Joined: 14 Dec 2019
Last visit: 17 Jun 2021
Posts: 827
Own Kudos:
930
 []
Given Kudos: 354
Location: Poland
Concentration: Entrepreneurship, Strategy
GMAT 1: 640 Q49 V27
GMAT 2: 660 Q49 V31
GMAT 3: 720 Q50 V38
GPA: 4
WE:Engineering (Consumer Electronics)
Products:
GMAT 3: 720 Q50 V38
Posts: 827
Kudos: 930
 []
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 14 Dec 2024
Posts: 97,877
Own Kudos:
Given Kudos: 88,271
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,877
Kudos: 685,925
Kudos
Add Kudos
Bookmarks
Bookmark this Post
shameekv1989
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.
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 13 Dec 2024
Posts: 19,869
Own Kudos:
Given Kudos: 288
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 19,869
Kudos: 24,296
Kudos
Add Kudos
Bookmarks
Bookmark this Post
SajjadAhmad
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.

Answer: B
User avatar
hiranmay
Joined: 12 Dec 2015
Last visit: 22 Jun 2024
Posts: 461
Own Kudos:
Given Kudos: 84
Posts: 461
Kudos: 553
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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. \(a^2 - b^2 = x\)
User avatar
Kinshook
User avatar
GMAT Club Legend
Joined: 03 Jun 2019
Last visit: 14 Dec 2024
Posts: 5,424
Own Kudos:
Given Kudos: 161
Location: India
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Products:
GMAT 1: 690 Q50 V34
Posts: 5,424
Kudos: 4,599
Kudos
Add Kudos
Bookmarks
Bookmark this Post
SajjadAhmad
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
Moderator:
Math Expert
97877 posts