GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 19 Feb 2020, 21:25

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.

Close

Request Expert Reply

Confirm Cancel

If y > x, is y > 64 (1) x has 7 factors (all even but one) and is div

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 61302
If y > x, is y > 64 (1) x has 7 factors (all even but one) and is div  [#permalink]

Show Tags

New post 21 Jan 2020, 03:40
2
5
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

37% (02:37) correct 63% (02:35) wrong based on 52 sessions

HideShow timer Statistics

CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 3155
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: If y > x, is y > 64 (1) x has 7 factors (all even but one) and is div  [#permalink]

Show Tags

New post 21 Jan 2020, 03:50
2
1
Bunuel wrote:
If y > x, is y > 64?

(1) x has 7 factors (all even but one) and is divisible by only one prime number.
(2) |y - 64| > |x - 64|


Are You Up For the Challenge: 700 Level Questions



Given: y > x

Question : is y > 64?

Statement 1: x has 7 factors (all even but one) and is divisible by only one prime number.

i.e. \(x = 2^6 = 64\) which is the only possible value of x

P.S. 2^6 has 7 factors {1, 2, 4, 8, 16, 32, 64} only one odd rest all even factors

and y > x therefore y > 64

SUFFICIENT

Statement 2: |y - 64| > |x - 64|

DIstance between y and 64 is Greater than distance between x and 64 and Y is to the right of x on number line because y > x therefore

y must be to the right of 64 and x must be somewhere between y and 64

SUFFICIENT

Answer: Option D
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

Click here for Our VERBAL & QUANT private tutoring package details

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
VP
VP
avatar
P
Joined: 24 Nov 2016
Posts: 1218
Location: United States
CAT Tests
If y > x, is y > 64 (1) x has 7 factors (all even but one) and is div  [#permalink]

Show Tags

New post 21 Jan 2020, 07:21
Bunuel wrote:
If y > x, is y > 64

(1) x has 7 factors (all even but one) and is divisible by only one prime number.
(2) |y - 64| > |x - 64|



(1) x has 7 factors (all even but one) and is divisible by only one prime number. sufic

num.f(x)=7 (all even except one); x=prime^6=2^6=64; y>64.

(2) |y - 64| > |x - 64| sufic

y-64≥0…y≥64; x-64≥0…x≥64
---(-)--(-)---64----+--+---
x,y<64: -(y-64)>-(x-64)…-y+x>0…x>y=false;
x,y≥64: (y-64)>(x-64)…y-x>0…y>x=true; y>64.

Ans (D)
Director
Director
avatar
P
Joined: 25 Jul 2018
Posts: 549
If y > x, is y > 64 (1) x has 7 factors (all even but one) and is div  [#permalink]

Show Tags

New post 21 Jan 2020, 11:57
2
If y > x, is y > 64 ?

(Statement1): x has 7 factors (all even but one) and is divisible by only one prime number.

\(a^{6}\) —> (6+1)= 7 factors
—> a should be prime number and even number at the same time—> 2 could be prime and even
\(x= 2^{6} = 64\) —> y >64 (yes)
Sufficient

(Statement2): |y - 64| > |x - 64|
—> square both sides
\((y—64)^{2} > (x—64)^{2}\)

\(y^{2} —128y+ 64^{2} > x^{2} —128x+64^{2} \)
\(y^{2}—128y > x^{2} —128x\)
(y—x)( y+x) —128(y—x) > 0
(y—x)(y+x—128) >0

Given that y—x >0, then —> y+x—128 >0
—> y+x >128

Now, we have two inequalities:
y—x > 0
y+x >128
By adding together:
—> 2y > 128 —> y > 64 (Yes)
Sufficient

The answer is D

Posted from my mobile device
Manager
Manager
avatar
G
Joined: 10 Dec 2017
Posts: 178
Location: India
Re: If y > x, is y > 64 (1) x has 7 factors (all even but one) and is div  [#permalink]

Show Tags

New post 21 Jan 2020, 19:59
Bunuel wrote:
If y > x, is y > 64

(1) x has 7 factors (all even but one) and is divisible by only one prime number.
(2) |y - 64| > |x - 64|


Are You Up For the Challenge: 700 Level Questions

From 1
X=2^6=total 7 factors ( 6+ 1)
X=64
since Y>X
Y>64
Sufficient
From 2
Y>X
so Y-64>X-64( we can add or subtract in inequality)
and lY-64l>lX-64l
for this to be true Y>64
Sufficient
D:)
Intern
Intern
avatar
B
Joined: 23 Dec 2019
Posts: 4
Re: If y > x, is y > 64 (1) x has 7 factors (all even but one) and is div  [#permalink]

Show Tags

New post 22 Jan 2020, 04:38
I didn't understand how Statement 2 is sufficient. Could someone post step by step answer
Manager
Manager
avatar
B
Joined: 22 Sep 2018
Posts: 66
If y > x, is y > 64 (1) x has 7 factors (all even but one) and is div  [#permalink]

Show Tags

New post 23 Jan 2020, 06:31
1
ayushsaxena04 wrote:
I didn't understand how Statement 2 is sufficient. Could someone post step by step answer


if using step process , here how it works

consider what is given in the question , y > x

consider both mods give negative value ie , . suppose y < 64 and X < 64, you get

-(y-64)>-(x-64)
-y+64 > -x+ 64

ie X > Y , but this contradicts with condition given in the question iteself, so in statement 2 consider Y>64 and solve you again get Y > X . so you can say Y>64.
GMAT Club Bot
If y > x, is y > 64 (1) x has 7 factors (all even but one) and is div   [#permalink] 23 Jan 2020, 06:31
Display posts from previous: Sort by

If y > x, is y > 64 (1) x has 7 factors (all even but one) and is div

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne