Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 19 Apr 2015, 09:38

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If x is a positive integer, is sqrt(x) an integer? (1)

Author Message
TAGS:
Manager
Joined: 20 Apr 2004
Posts: 89
Location: VA
Followers: 2

Kudos [?]: 11 [0], given: 0

If x is a positive integer, is sqrt(x) an integer? (1) [#permalink]  26 Aug 2004, 09:21
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
If x is a positive integer, is sqrt(x) an integer?

(1) sqrt(4x) is an integer
(2) sqrt(3x) is not an integer

Joined: 31 Dec 1969
Location: India
Concentration: General Management, Strategy
GMAT 1: 710 Q49 V0
GMAT 2: 740 Q40 V50
GMAT 3: 700 Q48 V38
GPA: 3.6
Followers: 0

Kudos [?]: 88 [0], given: 86846

1) sqrt4X=sqrt4xsqrtX since sqrt4 is always an integer, X is an integer then sqrt X must also be an integer, so 1) is sufficient
2) sqrt 3 is not an integer, same reasoning as above sqrt3 is not an integer then sqrtX can be or can not be an integer so 2) is insufficient
Manager
Joined: 20 Apr 2004
Posts: 89
Location: VA
Followers: 2

Kudos [?]: 11 [0], given: 0

Thanks.
I was confused with the sqrt function.
Senior Manager
Joined: 05 Feb 2004
Posts: 291
Location: USA
Followers: 1

Kudos [?]: 3 [0], given: 0

Shygo, Guest........In statement one it says sqrt 4x is an integer......or we can say:
sqrt4 * sqrt x = INTEGER
or 2*sqrt x= INT
dow we assume that the INT is always even??what if it was odd??
Manager
Joined: 20 Apr 2004
Posts: 89
Location: VA
Followers: 2

Kudos [?]: 11 [0], given: 0

cbrf3,

Since we multiply sqrt (x) by 2 the result is always even (any integer multipled by 2 always results in an even integer)
Hope it is clear.
Similar topics Replies Last post
Similar
Topics:
If sqrt(x) is a positive integer, is sqrt(x) a prime number? 5 13 Dec 2006, 11:25
if sqrt(x) is a positive integer, is sqrt(x) a prime number? 4 31 Aug 2006, 14:34
If sqrt(x) is a positive integer, is sqrt(x) a prime number? 7 23 Mar 2006, 19:41
If x is a positive integer is sqrt(x) an integer? 1) 10 05 Nov 2005, 19:52
If x is a positive integer, is Sqrt(x) an integer? (1) Sqrt 2 14 Aug 2005, 10:19
Display posts from previous: Sort by