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DS : If x is a positive integer, is JX an integer?

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DS : If x is a positive integer, is JX an integer?  [#permalink]

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New post 06 Apr 2017, 18:41
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DS:

If x is a positive integer, is square root X an integer?
(1) square root of 4X is an integer.
(2) square root of 3X is not an integer.


Please help me on this.

Thanks
Himanshu

--== Message from GMAT Club Team ==--

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If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: DS : If x is a positive integer, is JX an integer?  [#permalink]

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New post 06 Apr 2017, 19:13
here we know from stmt that x is a + integer.
now as per 1st stmt square root of 4x is an integer square rot of 4 is 2 now left x & this is poosible only when square root of x is an integer otherwise 4x will not be an integer . hence square root of x an integer. true
stmt 2 -square rot of 3x is not an integer i.e. squre root of 3 will not be integer so squre root of x may or may not be integer. not true
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Re: DS : If x is a positive integer, is JX an integer?  [#permalink]

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New post 06 Apr 2017, 19:27
himanshu22 wrote:
DS:

If x is a positive integer, is square root X an integer?
(1) square root of 4X is an integer.
(2) square root of 3X is not an integer.


Please help me on this.

Thanks
Himanshu



(1) √4x = 2√x=integer
for 2√x to be integer x must have to be sq. of any number
suff

(2) if x= 4 then 3x =12 & √12 is not an integer but √x is integer
but if x=5 then 3x =15 & √15 is again not an integer ,also √5 is not an integer
insuff

Ans A
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Re: DS : If x is a positive integer, is JX an integer?  [#permalink]

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New post 06 Apr 2017, 19:36
Answer : A

Correct guys, now i understood it.

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Re: DS : If x is a positive integer, is JX an integer?  [#permalink]

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New post 06 Apr 2017, 22:40
himanshu22 wrote:
DS:

If x is a positive integer, is square root X an integer?
(1) square root of 4X is an integer.
(2) square root of 3X is not an integer.


Please help me on this.

Thanks
Himanshu


Discussed here: https://gmatclub.com/forum/if-x-is-a-po ... 88994.html
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Re: DS : If x is a positive integer, is JX an integer?  [#permalink]

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New post 08 Apr 2017, 07:48
himanshu22 wrote:
DS:

If x is a positive integer, is square root X an integer?
(1) square root of 4X is an integer.
(2) square root of 3X is not an integer.


Please help me on this.

Thanks
Himanshu


Please follow the rules when posting a question. Thank you.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Re: DS : If x is a positive integer, is JX an integer? &nbs [#permalink] 08 Apr 2017, 07:48
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