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555-605 Level|   Absolute Values|   Inequalities|         
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carcass
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If y < x, is x^2 < y^2 ? (1) y > 0 (2) x > 0 01 Nov 2018, 03:30
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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35% (medium)

Question Stats:

70% (01:31) correct 30% (01:27) wrong based on 1139 sessions

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If \(y < x\), is \(x^2 < y^2\)?

(1) y > 0
(2) x > 0
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A
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Salsanousi
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If y < x, is x^2 < y^2 ? (1) y > 0 (2) x > 0 01 Nov 2018, 05:02
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carcass
If \(y < x\), is \(x^2 < y^2\)?

(1) y > 0
(2) x > 0
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if y > 0

then x > y > 0

then it is not true that x^2 < y^2 sufficient.

x > 0 then we don't know about y

if x = 2 and y = -3

then it is not true.

if x = 2 and y = -1 then is it true.

Not sufficient.

Answer choice A
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GMAT Focus 1: 735 Q90 V89 DI81
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If y < x, is x^2 < y^2 ? (1) y > 0 (2) x > 0 19 Apr 2020, 04:15
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carcass
If \(y < x\), is \(x^2 < y^2\)?

(1) y > 0
(2) x > 0
Show more

MODIFY the question stem..


is \(x^2 < y^2\)? Means is |x|<|y|? Or is \(x^2-y^2<0.....(x-y)(x+y)<0\)
Now it is given that \(y<x......x-y>0\)
So 'is \((x-y)(x+y)<0\) ?' becomes 'is x+y<0?'.
(a) if both x and y are positive ..NO
(b) if both x and y are negative...YES
(c) If x>0 and y<0, we will require to know the exact value of x and y to answer

(1) y > 0
Now x>y, so x>y>0..
Case (a) above....NO...Suff

(2) x > 0
So both case (a) and case (c) possible
Insuff

A
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If y < x, is x^2 < y^2 ? (1) y > 0 (2) x > 0 28 Jul 2021, 07:32
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chetan2u
carcass
If \(y < x\), is \(x^2 < y^2\)?

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

MODIFY the question stem..


is \(x^2 < y^2\)? Means is |x|<|y|? Or is \(x^2-y^2<0.....(x-y)(x+y)<0\)
Now it is given that \(y<x......x-y>0\)
So 'is \((x-y)(x+y)<0\) ?' becomes 'is x+y<0?'.
(a) if both x and y are positive ..NO
(b) if both x and y are negative...YES
(c) If x>0 and y<0, we will require to know the exact value of x and y to answer

(1) y > 0
Now x>y, so x>y>0..
Case (a) above....NO...Suff

(2) x > 0
So both case (a) and case (c) possible
Insuff

A
Show more

If x=1/2 and y=1/4 then statement 1 is not sufficient. No where the question mentions that x and y are integers.
Please help!
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chetan2u
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GMAT Focus 1: 735 Q90 V89 DI81
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If y < x, is x^2 < y^2 ? (1) y > 0 (2) x > 0 28 Jul 2021, 07:49
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PrernaTalreja
chetan2u
carcass
If \(y < x\), is \(x^2 < y^2\)?

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

MODIFY the question stem..


is \(x^2 < y^2\)? Means is |x|<|y|? Or is \(x^2-y^2<0.....(x-y)(x+y)<0\)
Now it is given that \(y<x......x-y>0\)
So 'is \((x-y)(x+y)<0\) ?' becomes 'is x+y<0?'.
(a) if both x and y are positive ..NO
(b) if both x and y are negative...YES
(c) If x>0 and y<0, we will require to know the exact value of x and y to answer

(1) y > 0
Now x>y, so x>y>0..
Case (a) above....NO...Suff

(2) x > 0
So both case (a) and case (c) possible
Insuff

A

If x=1/2 and y=1/4 then statement 1 is not sufficient. No where the question mentions that x and y are integers.
Please help!
Show more


statement I gives answer as NO always, so statement I is sufficient.
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If y < x, is x^2 < y^2 ? (1) y > 0 (2) x > 0 03 Dec 2024, 19:43
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Hello from the GMAT Club BumpBot!

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