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# Is x > y? (1) x > y^3 (2) x/y > 1

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Intern
Joined: 01 Sep 2017
Posts: 1
Is x > y? (1) x > y^3 (2) x/y > 1  [#permalink]

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07 Jul 2018, 05:28
00:00

Difficulty:

55% (hard)

Question Stats:

47% (01:39) correct 53% (01:44) wrong based on 17 sessions

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Is x > y?

(1) x > y^3

(2) x/y > 1
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 951
WE: Supply Chain Management (Energy and Utilities)
Re: Is x > y? (1) x > y^3 (2) x/y > 1  [#permalink]

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07 Jul 2018, 08:45
Himanshu0511 wrote:
Is x > y?

(1) x > y^3

(2) x/y > 1

Question stem:-Is x > y? (Y/N)

Statement-1:-
Valid when , (a) x and y are non-negative and x>y. Answer to question stem: Yes (example, x=2 & y=1)
(b) x and y are negative and magnitude of x is greater than magnitude of y. Answer to question stem: No (example, x=-8 & y=-3)
There are other cases, but we are interested in One yes & one No in order to determine insufficiency.
So, insufficient.

Statement-2:-
Valid when , (a) x and y are positive and x>y. Answer to question stem: Yes (example, x=2 & y=1)
(b) x and y are negative and magnitude of x is greater than magnitude of y. Answer to question stem: No (example, x=-2 & y=-1)
So, insufficient.

Now combining st1 & st2, the same cases pertain (a) & (b).

Hence , insufficient.

Ans. (E)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Math Expert
Joined: 02 Aug 2009
Posts: 7202
Re: Is x > y? (1) x > y^3 (2) x/y > 1  [#permalink]

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07 Jul 2018, 08:55
Is x > y?

(1) x > y^3
If x is negative integers, say -8 and y =-4, x<y
If x is 16 and y is 2, x>y
Insuff

(2) x/y > 1
Tells two things
(a) both x and y are of same sign
(b) |x|>|y|
If both are negative, -8 and -4.....x<y
If both are positive 16 and 2....xy

Combined
Same examples remain
Insuff

E
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: Is x > y? (1) x > y^3 (2) x/y > 1 &nbs [#permalink] 07 Jul 2018, 08:55
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# Is x > y? (1) x > y^3 (2) x/y > 1

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