NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 22:58 It is currently 25 Apr 2024, 22:58
Decision Tracker
My Rewards
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

Is x a positive integer? (1) x > 0 (2) x^2 + 16 = 25

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
avatar
B
Skn1608
Intern
Intern
Joined: 01 Nov 2018
Posts: 5
Own Kudos [?]: 5 [4]
Given Kudos: 12
Send PM
Is x a positive integer? (1) x > 0 (2) x^2 + 16 = 25 [#permalink] New post   Updated on: 07 Jan 2019, 02:00
4
Bookmarks
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

63% (00:34) correct 37% (00:29) wrong based on 81 sessions
Hide Show timer Statistics
Is x a positive integer?

(1) x > 0

(2) x^2 + 16 = 25

Show Spoiler
the original answer is C.

I'm confused why the answer is not A. I know that zero is define as neither negative or positive, but based on the inequality symbol, the zero (0) should not be included?

That's why I thought statement (1) alone is sufficient.


Please expert help.

Thanks in advance
ShowHide Answer
Official Answer
C

Originally posted by Skn1608 on 06 Jan 2019, 20:17.
Last edited by Bunuel on 07 Jan 2019, 02:00, edited 1 time in total.
Renamed the topic and edited the question.
User avatar
G
KanishkM
Director
Director
Joined: 09 Mar 2018
Posts: 783
Own Kudos [?]: 453 [1]
Given Kudos: 123
Location: India
Schools: DeGroote'21 Desautels '21 NUS '21
Send PM
Re: Is x a positive integer? (1) x > 0 (2) x^2 + 16 = 25 [#permalink] New post   06 Jan 2019, 20:41
1
Kudos
Skn1608 wrote:
Is X a positive integer?

(1) x>0

(2) x^2+16=25

the original answer is C.

I'm confused why the answer is not A. I know that zero is define as neither negative or positive, but based on the inequality symbol, the zero (0) should not be included?

That's why I thought statement (1) alone is sufficient.


Please expert help.

Thanks in advance


Would like to pitch in,

(1) x>0
If x> 0, this just tells about the sign of x, Now x can be a fraction, number or an integer, Example x can be
x=1, is an Integer(Answering the question as Yes)
x = 1.1, is not an Integer (Answering the question as No)

(2) x^2+16=25
x^2 = 9
will give 2 values, x can be
3(Answering the question as Yes)
-3(Answering the question as No)

Now when you combine both the statements, you know that x>0 and from B, the only value which satisfies both the statements is 3.

Giving Answer as C
User avatar
L
DisciplinedPrep
VP
VP
Joined: 15 Jan 2018
Posts: 1345
Own Kudos [?]: 1920 [1]
Given Kudos: 628
Concentration: Marketing, Leadership
Send PM
Re: Is x a positive integer? (1) x > 0 (2) x^2 + 16 = 25 [#permalink] New post   07 Jan 2019, 02:24
1
Kudos
Statement 1: x > 0
Statement 1 says that x is a positive number, but may or may not be an integer. Hence Statement 1 by itself is NOT Sufficient.

Statement 2: x^2 + 16 = 25
Solving for x, we get x^2 = 9, i.e. x = 3, or -3. Hence Statement 2 by itself is NOT Sufficient.

Combining Statement 1 & Statement 2: x > 0 & x = +3, or -3. We get a unique value for x, i.e. x = 3. Hence Statement 1 and 2 together is Sufficient.

Therefore, the Correct Answer is Option C.
User avatar
G
akurathi12
Read Only User
Read Only User
Joined: 25 Dec 2018
Posts: 116
Own Kudos [?]: 400 [2]
Given Kudos: 146
Location: India
Schools: IE Sept18 Intake AGSM '21 EDHEC Sept 2019 Intake ISB '20 Cass '21 SMU '20
GMAT 1: 490 Q47 V13
GPA: 2.86
Send PM
Re: Is x a positive integer? (1) x > 0 (2) x^2 + 16 = 25 [#permalink] New post   07 Jan 2019, 09:59
2
Kudos
Skn1608 wrote:
Is x a positive integer?

(1) x > 0

(2) x^2 + 16 = 25

Show Spoiler
the original answer is C.

I'm confused why the answer is not A. I know that zero is define as neither negative or positive, but based on the inequality symbol, the zero (0) should not be included?

That's why I thought statement (1) alone is sufficient.


Please expert help.

Thanks in advance


Statement 1. x>0

Option 1. If 'x' is an integer statement sufficient
Option 2. If 'x' is a fractional number 1/2, 3/4... statement not sufficient

Statement 2. x^2+16=25 => x will have 2 values x=3 or x=-3 not sufficient

Statement 1&2 - From statement 1 x is positive, statement 2 x=3 Sufficient

Answer:-C
User avatar
P
ocelot22
Manager
Manager
Joined: 16 Oct 2011
Posts: 171
Own Kudos [?]: 125 [1]
Given Kudos: 545
GMAT 1: 640 Q38 V40
GMAT 2: 650 Q44 V36
GMAT 3: 570 Q31 V38
GMAT 4: 720 Q49 V40
GPA: 3.75
Send PM
Reviews Badge
Re: Is x a positive integer? (1) x > 0 (2) x^2 + 16 = 25 [#permalink] New post   07 Jan 2019, 11:04
1
Kudos
(1) x >0 no integer restriction is given here so x can be ANYTHING >0 Let x =1 is x a positive integer? Yes
Let x =1.2 Is x a positive integer? No since we get a Yes and No, the statement is not sufficient

(2) x^2+16=25 subtract 16 from each side and we get x^2=9, and x = +3 or x=-3 NS

(1) and (2) x=-3 or x=+3 and x >0, then x must =+3 sufficient. Answer is C
User avatar
P
aggvipul
Manager
Manager
Joined: 15 Nov 2017
Status:Current Student
Posts: 238
Own Kudos [?]: 368 [1]
Given Kudos: 28
Concentration: Operations, Marketing
Schools: IIML-IPMX '22 (A)
WE:Operations (Retail)
Send PM
Re: Is x a positive integer? (1) x > 0 (2) x^2 + 16 = 25 [#permalink] New post   07 Jan 2019, 11:45
1
Kudos
St. 1 - X>0 is insufficient as X can be a decimal no.
St. 2 - x^2+16=25 is insufficient as X can be either +3 or -3

Combining st. 1 and st.2 renders only one possible value of X, which is +3 and hence this combination is sufficient. Answer C
GMAT Club Bot
gmatclubot
Re: Is x a positive integer? (1) x > 0 (2) x^2 + 16 = 25 [#permalink]
07 Jan 2019, 11:45
Moderator:
Bunuel
Math Expert
92915 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions