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

It is currently 04 Aug 2020, 18:12

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

Is x > y? (1) 12x = 4c (2) c = 3y^4

  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: 65785
Is x > y? (1) 12x = 4c (2) c = 3y^4  [#permalink]

Show Tags

New post 01 Jul 2020, 22:02
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

68% (01:03) correct 32% (00:48) wrong based on 60 sessions

HideShow timer Statistics

Manager
Manager
avatar
G
Status: Done with one MBA, now aiming for something bigger!
Joined: 03 May 2020
Posts: 239
Location: India
Concentration: Marketing, Strategy
Re: Is x > y? (1) 12x = 4c (2) c = 3y^4  [#permalink]

Show Tags

New post 01 Jul 2020, 22:20
1
St. 1 or St. 2 alone is insufficient because there is no direct relation between x and y.

St. 1 and St. 2:
x = y^4

(i) y is a positive integer
=> x > y

(ii) y is a negative integer
=> x is positive
=> x > y

(iii) y is a positive fraction
=> x < y

(iv) y is a negative fraction
=> x is positive
=> x > y

=> Because of (iii), st. 1 and st. 2 are together insufficient.

Answer: E

Posted from my mobile device
_________________
MBA - IB, IIFT | Class of 2018 - 20
Majors - Marketing | Minors - Finance, Strategy, and Trade
NMAT '17 - 99.xx percentile | IIFT '17 - 94.95 percentile | CAT '17 - 93.81 percentile
Director
Director
avatar
G
Joined: 16 Feb 2015
Posts: 657
Location: United States
Re: Is x > y? (1) 12x = 4c (2) c = 3y^4  [#permalink]

Show Tags

New post 01 Jul 2020, 22:33
Explanation:
To find x>y


Statement 1: 12x=4c
3x=c
cannot say about y
Not Sufficient

Statement 2: c=3y^4
Cannot say about y.
Not Sufficient.

From 1 & 2,
3x=3y^4
x=y^4
Let y= 1, then x=1 ; x>y No
if y = 2, then x = 16 ; x>y yes
Not Sufficient

IMO-E
Sloan MIT School Moderator
User avatar
V
Joined: 07 Mar 2019
Posts: 1343
Location: India
GMAT 1: 580 Q43 V27
WE: Sales (Energy and Utilities)
Premium Member CAT Tests
Re: Is x > y? (1) 12x = 4c (2) c = 3y^4  [#permalink]

Show Tags

New post 01 Jul 2020, 22:36
1
Is x>y?

(1) 12x=4c
NOT SUFFICIENT.

(2) \(c=3y^4\)
NOT SUFFICIENT.

Together 1 and 2
\(12x = 12y^4\)
\(x = y^4\)
\(1 = 1^4\) NO
\(16 = 2^4\) YES

NOT SUFFICIENT.

Answer E.
_________________
Manager
Manager
avatar
B
Joined: 12 Oct 2019
Posts: 55
Re: Is x > y? (1) 12x = 4c (2) c = 3y^4  [#permalink]

Show Tags

New post 01 Jul 2020, 22:51
1
Statement 1:
\(12x = 4c\)
\(3x = c\)
We know only about x. Insufficient

Statement 2:
\(c = 3y^4\)

We know only about y. Insufficient

S1 + S2
\(3x = c = 3y^4\)
\(x = y^4\)

If y = 2
\(x = y^4 = 2^4 = 16 > 2\). YES

If y = \(\frac{1}{2}\)

\(x = y^4 = ( \frac{1}{2} )^4 = \frac{1}{16} < \frac{1}{2}\) NO

INSUFFICIENT

OA, E
Intern
Intern
avatar
B
Joined: 21 Jun 2020
Posts: 2
Location: Georgia
Concentration: Finance, General Management
GPA: 3.71
Re: Is x > y? (1) 12x = 4c (2) c = 3y^4  [#permalink]

Show Tags

New post 01 Jul 2020, 23:07
E

x=y^4

They can both be between 0 and 1, in which case x is less than y, or they both are more than 1. In this case x shall be greater than y.

Posted from my mobile device
Oxford Saïd School Moderator
avatar
S
Joined: 16 May 2019
Posts: 100
Location: India
Concentration: Finance, Strategy
GMAT 1: 570 Q44 V23
CAT Tests
Re: Is x > y? (1) 12x = 4c (2) c = 3y^4  [#permalink]

Show Tags

New post 02 Jul 2020, 00:11
1
Individual statements are clearly insufficient as the information about the other variable is not available.

Combining both the statements, we get
=> 3x=3y^4
=> x=y^4

when y=1, x=1 => x=y
when y=-1, x=1 => x>y

Hence (E) is the answer
Manager
Manager
avatar
P
Joined: 08 Jan 2018
Posts: 245
Location: India
Concentration: Operations, General Management
GMAT 1: 680 Q50 V32
WE: Project Management (Manufacturing)
GMAT ToolKit User Reviews Badge CAT Tests
Re: Is x > y? (1) 12x = 4c (2) c = 3y^4  [#permalink]

Show Tags

New post 02 Jul 2020, 01:40
1
IMO E

Is x>y?

(1) 12x=4c
No information about y, Not sufficient.

(2) c=3y^4
No information about x, Not sufficient

Together:
c= 3x = 3y^4
x = y^4
Let y=2=> x=16 , So x>y
Let y=0.5=> x= 0.0625 , So x<y
Not Sufficient.
Intern
Intern
avatar
B
Joined: 06 Apr 2020
Posts: 33
CAT Tests
Re: Is x > y? (1) 12x = 4c (2) c = 3y^4  [#permalink]

Show Tags

New post 02 Jul 2020, 03:11
1
12x=4c
3x=c
while second statement implies
c=3*y^4
therefore c is positive so is x
and we have x=y^4
Now if y is between 0 and 1 y^4 will be a number less than y itself (0.1^2<0.1) therefore both statements together are insufficient imo
Intern
Intern
avatar
B
Joined: 19 Jan 2020
Posts: 3
CAT Tests
Re: Is x > y? (1) 12x = 4c (2) c = 3y^4  [#permalink]

Show Tags

New post 02 Jul 2020, 03:24
Both statement together are sufficient . as 12x=12y^4 ; x=y^4 ; so y could be 1 or -1 so both statement together are not sufficient
Intern
Intern
avatar
B
Joined: 19 Jan 2020
Posts: 3
CAT Tests
Re: Is x > y? (1) 12x = 4c (2) c = 3y^4  [#permalink]

Show Tags

New post 02 Jul 2020, 03:26
1
answer is E) both statement together are not sufficient 12x=12y^4 ; x=y^4 ; y= 1 or -1 ....x>y when y=-1 and x=y when y=1 ... both together are not sufficient .
Manager
Manager
avatar
G
Joined: 05 Jan 2020
Posts: 142
Re: Is x > y? (1) 12x = 4c (2) c = 3y^4  [#permalink]

Show Tags

New post 02 Jul 2020, 04:21
1. 12x=4c. Insufficient
2. c=3y^4. Insufficient

Combined, x=y^4.

x=y=1, => x = y
x=0.0001, y=0.1, => x < y
x=16, y=2 => x > y

all 3 conditions satisfy x=y^4

Insufficient.

Ans: E
Manager
Manager
avatar
S
Joined: 11 May 2019
Posts: 138
Re: Is x > y? (1) 12x = 4c (2) c = 3y^4  [#permalink]

Show Tags

New post 02 Jul 2020, 04:43
IMO E.

Stmt 1
Gives nothing about y.
Insuff.

Stmt 2
Gives nothing about x.
Insuff.

1+2.

3x = 3y^4

x=y^4

x could be 1
x could be 0.
x could be fraction.
We cant say its greater than or less than y.
So E

Posted from my mobile device
Manager
Manager
avatar
S
Joined: 11 May 2019
Posts: 138
Re: Is x > y? (1) 12x = 4c (2) c = 3y^4  [#permalink]

Show Tags

New post 02 Jul 2020, 04:54
IMO E.

Stmt 1
Gives nothing about y.
Insuff.

Stmt 2
Gives nothing about x.
Insuff.

1+2.

3x = 3y^4

x=y^4

x could be 1
x could be 0.
x could be fraction.
We cant say its greater than or less than y.
So E

Posted from my mobile device
Manager
Manager
avatar
G
Joined: 23 May 2020
Posts: 153
Location: India
GPA: 4
Premium Member Reviews Badge CAT Tests
Re: Is x > y? (1) 12x = 4c (2) c = 3y^4  [#permalink]

Show Tags

New post 02 Jul 2020, 12:02
Ans - E

Statement 1
3x= c, without value of y we cannot tell, so not sufficient

Statement 2
C= 3y4, without value of x we cant determine

Statement 1 &2
We get x=y4,
With x=1, x=y
With x= 2 , y= 16 so y>x
So clearly it’s giving two different so it is not sufficient

Posted from my mobile device
Manager
Manager
avatar
G
Joined: 23 Jan 2020
Posts: 210
GMAT ToolKit User CAT Tests
Re: Is x > y? (1) 12x = 4c (2) c = 3y^4  [#permalink]

Show Tags

New post 02 Jul 2020, 20:17
Is x>y?


(1) 12x=4c

(2) c=3y^4

1) 3x = c
no info about y
insufficient

2)c=3y^4
no info about x
insufficient

1+2)
3x=3y^4
x=y^4

is y^4>y?
if y=integers, yes
if y=decimals, no
insufficient

Ans E
Senior Manager
Senior Manager
avatar
D
Joined: 01 Mar 2015
Posts: 294
Re: Is x > y? (1) 12x = 4c (2) c = 3y^4  [#permalink]

Show Tags

New post 02 Jul 2020, 20:37
Statement 1:
\(12x = 4c \)
=> \(3x = c\)
Insufficient as no information about y.

Statement 2:
\(c = 3y^4\)
Insufficient as no information about x

Combining both we get
\(3x = 3y^4\)
=> \(x = y^4\)
Can be of any value

Hence, OA is (E).
Manager
Manager
User avatar
S
Joined: 07 Jan 2018
Posts: 84
GMAT ToolKit User CAT Tests
Re: Is x > y? (1) 12x = 4c (2) c = 3y^4  [#permalink]

Show Tags

New post 03 Jul 2020, 00:41
Clearly E.

Question doesn't state that x, y, and c cannot all be equal to 0.
Therefore, x=y=c=0 is a condition that will always be true, unless one of the statements tells us that they are not equal to 0.
GMAT Club Bot
Re: Is x > y? (1) 12x = 4c (2) c = 3y^4   [#permalink] 03 Jul 2020, 00:41

Is x > y? (1) 12x = 4c (2) c = 3y^4

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





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