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If y > x, is y > 64

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EgmatQuantExpert
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If y > x, is y > 64 [#permalink] New post   26 May 2017, 05:05
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Difficulty:

95% (hard)

Question Stats:

45% (02:32) correct 55% (02:26) wrong based on 114 sessions
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Q.

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|


Answer Choices



    A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
    B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
    C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
    D. EACH statement ALONE is sufficient to answer the question asked.
    E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Thanks,
Saquib
Quant Expert
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rohit8865
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Re: If y > x, is y > 64 [#permalink] New post   26 May 2017, 08:14
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EgmatQuantExpert wrote:
Q.

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|


Answer Choices



    A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
    B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
    C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
    D. EACH statement ALONE is sufficient to answer the question asked.
    E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Thanks,
Saquib
Quant Expert
e-GMAT

Register for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the real-time guidance of our Experts :)




(1) x has minimum value = 2^6 =64
thus y>x=64
y>64
suff

(2) sq. both side we get
y^2-128y > x^2-128x
or y^2 - x^2 - 128y + 128x >0
y^2 - x^2 - 128(y -x ) >0
taking y-x common out

(y-x)(y+x-128)>0
as y-x > 0 given
then
y+x>128------(a)
and y-x >0------(b)

adding (a) and (b)
2y > 128
or y> 64

suff..

Ans D
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MvArrow
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Re: If y > x, is y > 64 [#permalink] New post   28 May 2017, 07:02
rohit8865 wrote:
EgmatQuantExpert wrote:
Q.

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|


Answer Choices



    A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
    B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
    C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
    D. EACH statement ALONE is sufficient to answer the question asked.
    E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Thanks,
Saquib
Quant Expert
e-GMAT

Register for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the real-time guidance of our Experts :)




(1) x has minimum value = 2^6 =64
thus y>x=64
y>64
suff

(2) sq. both side we get
y^2-128y > x^2-128x
or y^2 - x^2 - 128y + 128x >0
y^2 - x^2 - 128(y -x ) >0
taking y-x common out

(y-x)(y+x-128)>0
as y-x > 0 given
then
y+x>128------(a)
and y-x >0------(b)

adding (a) and (b)
2y > 128
or y> 64

suff..

Ans D


Can you explain better the Statement 2 please? I am a bit rusty over the Absolute Module, thanks
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goalMBA1990
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Re: If y > x, is y > 64 [#permalink] New post   28 May 2017, 11:42
rohit8865 wrote:
EgmatQuantExpert wrote:
Q.

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|


Answer Choices



    A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
    B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
    C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
    D. EACH statement ALONE is sufficient to answer the question asked.
    E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Thanks,
Saquib
Quant Expert
e-GMAT

Register for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the real-time guidance of our Experts :)




(1) x has minimum value = 2^6 =64
thus y>x=64
y>64
suff

(2) sq. both side we get
y^2-128y > x^2-128x
or y^2 - x^2 - 128y + 128x >0
y^2 - x^2 - 128(y -x ) >0
taking y-x common out

(y-x)(y+x-128)>0
as y-x > 0 given
then
y+x>128------(a)
and y-x >0------(b)

adding (a) and (b)
2y > 128
or y> 64

suff..

Ans D

Hi, I didn't get how you derive first statement sufficient? Can you please explain in more detail?

Thanks in advance.

Sent from my XT1663 using GMAT Club Forum mobile app
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rohit8865
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Re: If y > x, is y > 64 [#permalink] New post   28 May 2017, 12:08
MvArrow wrote:
rohit8865 wrote:
EgmatQuantExpert wrote:
Q.

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|


Answer Choices



    A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
    B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
    C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
    D. EACH statement ALONE is sufficient to answer the question asked.
    E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Thanks,
Saquib
Quant Expert
e-GMAT

Register for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the real-time guidance of our Experts :)




(1) x has minimum value = 2^6 =64
thus y>x=64
y>64
suff

(2) sq. both side we get
y^2-128y > x^2-128x
or y^2 - x^2 - 128y + 128x >0
y^2 - x^2 - 128(y -x ) >0
taking y-x common out

(y-x)(y+x-128)>0
as y-x > 0 given
then
y+x>128------(a)
and y-x >0------(b)

adding (a) and (b)
2y > 128
or y> 64

suff..

Ans D


Can you explain better the Statement 2 please? I am a bit rusty over the Absolute Module, thanks


Please be little more specific , which part u have difficulty :)
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rohit8865
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Re: If y > x, is y > 64 [#permalink] New post   28 May 2017, 12:11
goalMBA1990 wrote:
rohit8865 wrote:
EgmatQuantExpert wrote:
Q.

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|


Answer Choices



    A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
    B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
    C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
    D. EACH statement ALONE is sufficient to answer the question asked.
    E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Thanks,
Saquib
Quant Expert
e-GMAT

Register for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the real-time guidance of our Experts :)




(1) x has minimum value = 2^6 =64
thus y>x=64
y>64
suff

(2) sq. both side we get
y^2-128y > x^2-128x
or y^2 - x^2 - 128y + 128x >0
y^2 - x^2 - 128(y -x ) >0
taking y-x common out

(y-x)(y+x-128)>0
as y-x > 0 given
then
y+x>128------(a)
and y-x >0------(b)

adding (a) and (b)
2y > 128
or y> 64

suff..

Ans D

Hi, I didn't get how you derive first statement sufficient? Can you please explain in more detail?

Thanks in advance.

Sent from my XT1663 using GMAT Club Forum mobile app



no. of factors of x^y is y+1
let 2^2=4 its factors are 1,2,4 = 3nos. = 2+1...

hope it helps
GMAT Club Bot
gmatclubot
Re: If y > x, is y > 64 [#permalink]
28 May 2017, 12:11
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Bunuel
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