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Is x greater than y?

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Expert Post
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Posts: 43831
Is x greater than y? [#permalink]

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New post 13 Mar 2017, 09:45
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E

Difficulty:

  35% (medium)

Question Stats:

74% (00:54) correct 26% (00:41) wrong based on 55 sessions

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Is x greater than y? [#permalink]

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New post 13 Mar 2017, 09:57
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(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.

Answer E.

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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New post 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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New post 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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New post 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.

Answer: E
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Re: Is x greater than y?   [#permalink] 20 Mar 2017, 05:57
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