Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 18 Jul 2019, 02:32

### 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

# Is k the square of an integer?

Author Message
TAGS:

### Hide Tags

Intern
Joined: 27 Feb 2012
Posts: 34
Is k the square of an integer?  [#permalink]

### Show Tags

Updated on: 05 Sep 2017, 01:08
11
00:00

Difficulty:

25% (medium)

Question Stats:

71% (01:09) correct 29% (01:17) wrong based on 200 sessions

### HideShow timer Statistics

Is k the square of an integer?

(1) $$k= t^2 * q^6 *r^{10}$$, where t, q and r are integers

(2) $$k= t^2 * m^{15}$$, where t and m are integers

Originally posted by jsphcal on 18 Dec 2012, 23:04.
Last edited by Bunuel on 05 Sep 2017, 01:08, edited 4 times in total.
Edited the question.
VP
Joined: 02 Jul 2012
Posts: 1153
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: Is k the square of an integer?  [#permalink]

### Show Tags

18 Dec 2012, 23:18
1
jsphcal wrote:
Is k the square of an integer?

(1) $$k= t ^2 * q^6 * r^10$$ , where t, q and r are integers

(2) $$k= r ^2 * m^{15}$$ , where r and m are integers

Please correct the typo in statement 1...

1) we have$$k={(tq^3r^5)}^2$$. Since t,q and r are intergers, k is the square of an integer. Sufficient.

2)m can take several values for k to not be the square of an integer. If m =1, k is the square of an integer. Insufficient.

_________________
Did you find this post helpful?... Please let me know through the Kudos button.

Thanks To The Almighty - My GMAT Debrief

GMAT Reading Comprehension: 7 Most Common Passage Types
Math Expert
Joined: 02 Sep 2009
Posts: 56261
Re: Is k the square of an integer?  [#permalink]

### Show Tags

19 Dec 2012, 03:05
Is k the square of an integer?

We need to determine whether k is a perfect square.

(1) k = t^2*q^6*r^10, where t, q, and r are integers --> $$k=(tq^3r^5)^2=integer^2$$. Sufficient.

(2) k = t^2*m^15, where t and m are integers --> if m is a perfect square itself (say if m=n^2 for some integer n), then k will also be a perfect square but if m is NOT a perfect square, then k also will NOT be a perfect square. For example consider m=1 and m=2. Not sufficient.

_________________
Intern
Joined: 16 Aug 2018
Posts: 28
Concentration: General Management, Strategy
Schools: Guanghua"21 (A)
GMAT 1: 700 Q49 V36
Re: Is k the square of an integer?  [#permalink]

### Show Tags

18 Aug 2018, 02:38
it's easy to miss that m can be zero or a squre.
Re: Is k the square of an integer?   [#permalink] 18 Aug 2018, 02:38
Display posts from previous: Sort by