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# Is x greater than y?

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Math Expert
Joined: 02 Sep 2009
Posts: 52385
Is x greater than y?  [#permalink]

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13 Mar 2017, 09:45
00:00

Difficulty:

35% (medium)

Question Stats:

61% (00:46) correct 39% (00:40) wrong based on 89 sessions

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Is x greater than y?

(1) y > 0
(2) x = y^2

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Joined: 27 May 2014
Posts: 524
GMAT 1: 730 Q49 V41
Is x greater than y?  [#permalink]

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Updated on: 13 Mar 2017, 19:52
3
(1) y>0; it doesn't provide any information about x. Insufficient.

(2) x = y^2;
If y = 0 or 1, x = y.
If y = 2 or -2, x = 4 > y. Hence, insufficient.

(1) & (2) together,
y >0.
Then, if y = 2, x = 4 > y.
But, if y = 0.4, x = 0.16< y. Hence, insufficient.

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Originally posted by saswata4s on 13 Mar 2017, 09:57.
Last edited by saswata4s on 13 Mar 2017, 19:52, edited 1 time in total.
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Re: Is x greater than y?  [#permalink]

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13 Mar 2017, 18:27
Bunuel wrote:
Is x greater than y?

(1) y > 0
(2) x = y^2

(1) y > 0 -- Doesn't provide any info about x -- Not Suff

2)x = y^2 -- If y=2 then x=4 gives x>y

If y=0.2 then x=0.04 then x<y

Hence Not Suff

Combining both also

If y=2 then x=4 gives x>y

If y=0.2 then x=0.04 then x<y

Not Suff

Hence E
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Re: Is x greater than y?  [#permalink]

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15 Mar 2017, 05:21
St 1: y>0. no information about x. INSUFFICIENT
ST 2: x = y^2.
for y = 0,1: x = y
for y<0, x>y
for 0<y<1, x<y
for y>1, x>y

4 cases. INSUFFICIENT

St 1 & St 2: the cases will be
for y = 1: x = y
for 0<y<1, x<y
for y>1, x>y

3 Cases. INSUFFICIENT

Option E
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Re: Is x greater than y?  [#permalink]

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20 Mar 2017, 05:57
Bunuel wrote:
Is x greater than y?

(1) y > 0
(2) x = y^2

We need to determine whether x > y.

Statement One Alone:

y > 0

Since we do not know anything about x, statement one is not sufficient to answer the question.

Statement Two Alone:

x = y^2

Using the information in statement two, we see that x could be greater than or less than y. For example, if x = 1/4 and y = 1/2, then x is not greater than y. However, if x = 4 and y = 2, then x is greater than y. Statement two alone is not sufficient to answer the question.

Statements One and Two Together:

Using the information from statements one and two, we still cannot determine whether x is greater than y. Once again, if x = 1/4 and y = 1/2, then x is not greater than y. However, if x = 4 and y = 2, then x is greater than y.

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Re: Is x greater than y?  [#permalink]

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16 Dec 2018, 06:04
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Re: Is x greater than y? &nbs [#permalink] 16 Dec 2018, 06:04
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