Last visit was: 11 Jun 2024, 09:57 It is currently 11 Jun 2024, 09:57
Decision Tracker
My Rewards
Unanswered
Active Topics
New posts
New comers' posts
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Which of the following must be true?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
GMATBusters
GMAT Tutor
Joined: 27 Oct 2017
Posts: 1898
Own Kudos [?]: 5704 [9]
Given Kudos: 238
WE:General Management (Education)
Send PM
GMAT ToolKit User
Which of the following must be true? [#permalink] Which of the following must be true?   13 Oct 2018, 10:09
1
Kudos
7
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

65% (hard)

Question Stats:

48% (01:26) correct 52% (01:23) wrong based on 157 sessions
Hide Show DIFFICULTY AND TIMER STATISTICS
Which of the following must be true?

A. A Linear equation in one variable always gives a unique value of x.

B. A Quadratic equation in one variable always gives two unique value of x.

C. \((EVEN)^N\) is always EVEN, where N is an integer

D. \((ODD)^N\) can never be EVEN, where N is an integer

E. |x| is always positive.
 
ShowHide Answer
Official Answer
D
User avatar
D
Gladiator59
Director
Director
Joined: 16 Sep 2016
Status:It always seems impossible until it's done.
Posts: 642
Own Kudos [?]: 2091 [5]
Given Kudos: 174
GMAT 1: 740 Q50 V40
GMAT 2: 770 Q51 V42
Send PM
GMAT ToolKit User Reviews Badge
Re: Which of the following must be true? [#permalink] Which of the following must be true?   13 Oct 2018, 10:15
3
Kudos
1
Bookmarks
In my opinion (D) should be correct. Please see attached solution.

Best Regards,
GLadi
Attachments

Q4_3.jpeg
Q4_3.jpeg [ 132.15 KiB | Viewed 3287 times ]

User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 7907
Own Kudos [?]: 4149 [0]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User
Re: Which of the following must be true? [#permalink] Which of the following must be true?   13 Oct 2018, 10:30
Which of the following must be true?
A) A Linear equation in one variable always gives a unique value of x.
B) A Quadratic equation in one variable always gives two unique value of x.
C) (EVEN)N(EVEN)N is always EVEN, Where N is an integer
D)(ODD)N(ODD)N can never be EVEN, Where N is an integer
E) |x| is always Positive.

D&E should be right
User avatar
G
baru
Manager
Manager
Joined: 18 Jan 2018
Posts: 206
Own Kudos [?]: 286 [0]
Given Kudos: 72
Location: India
Concentration: General Management, Healthcare
Schools: ISB '21 Booth '22 IIMB
GPA: 3.87
WE:Design (Manufacturing)
Send PM
GMAT ToolKit User
Re: Which of the following must be true? [#permalink] Which of the following must be true?   13 Oct 2018, 10:37
OA : D

A) A Linear equation in one variable always gives a unique value of x. ==> Can have no solution some times
B) A Quadratic equation in one variable always gives two unique value of x.==> can have x as same values as ==> X^2 -4 = 0 , where x have { 2,2 } values
C) Even ^N is always EVEN, Where N is an integer ==> when n is Zero ==False
D) Odd ^ N is can never be EVEN, Where N is an integer ==> True for all values of N as Odd * Odd is always ODD , True for N = 0 as well , as 3^0 = 1 which is ODD
E) |x| is always Positive ===> false for x = 0
User avatar
L
u1983
Current Student
Joined: 24 Aug 2016
Posts: 732
Own Kudos [?]: 778 [0]
Given Kudos: 97
GMAT 1: 540 Q49 V16
GMAT 2: 680 Q49 V33
Send PM
GMAT ToolKit User Reviews Badge
Re: Which of the following must be true? [#permalink] Which of the following must be true?   13 Oct 2018, 10:39
Ans E ( as this is the distance from origin - dirn is not involved)
avatar
B
guptakashish02
Manager
Manager
Joined: 28 May 2018
Posts: 58
Own Kudos [?]: 24 [0]
Given Kudos: 77
Send PM
Re: Which of the following must be true? [#permalink] Which of the following must be true?   13 Oct 2018, 11:00
Answer to question ............................................
Attachments

IMG_20181013_231603.jpg
IMG_20181013_231603.jpg [ 2.81 MiB | Viewed 3116 times ]

User avatar
B
Harshit4232
Intern
Intern
Joined: 15 Jan 2024
Posts: 8
Own Kudos [?]: 1 [0]
Given Kudos: 14
Location: India
Schools: ISB IIM Ivey '25
GMAT Focus 1:
645 Q90 V80 DI76
GPA: 8.31
Send PM
Forum Quiz Mode
Re: Which of the following must be true? [#permalink] Which of the following must be true?   15 May 2024, 23:13
It is written, N is an integer, what if it is negative, any odd no. raised to the power by negative integer will reduce down to fraction, it will not remain odd, how can then it be Must be true?
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93669
Own Kudos [?]: 630904 [0]
Given Kudos: 82237
Send PM
CAT Tests Forum Quiz Mode
Re: Which of the following must be true? [#permalink] Which of the following must be true?   16 May 2024, 00:01
Expert Reply
Harshit4232 wrote:
Which of the following must be true?

A. A Linear equation in one variable always gives a unique value of x.

B. A Quadratic equation in one variable always gives two unique value of x.

C. \((EVEN)^N\) is always EVEN, where N is an integer

D. \((ODD)^N\) can never be EVEN, where N is an integer

E. |x| is always positive.
 ­

It is written, N is an integer, what if it is negative, any odd no. raised to the power by negative integer will reduce down to fraction, it will not remain odd, how can then it be Must be true?

Correct option D says \((ODD)^N\) can never be EVEN, where N is an integer. Not even, does not mean odd.
GMAT Club Bot
gmatclubot
Re: Which of the following must be true? [#permalink]
16 May 2024, 00:01
Moderator:
Bunuel
Math Expert
93669 posts