Q48. GMAT DS - Inequalities and modulus

Q. If x^2 > y^2, is x>y?
1) x > |y|
2) |x| > y

PLEASE PROVIDE YOUR REASONING AND NOT JUST THE ANSWER CHOICES.

Difficulty Level : Easy
Time to Solve : <70 secs

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they can be less than 1/fraction.

x^2 > y^2 .

even if number is b/w 0 & 1 / -1

.5^2 > .3^2

- Now when we look at the statements.
1 - x>y all possible cases

2 if x is -ve y is +ve then we get a contradiction x<y

so its A

could u provide detailed explanation. IMO D

IMO A

if x > |y|, then x is always more than y, because the value of x is more than the absolute value of y. So A
The second varies depending on whether x is positive or negative

I would choose "D" because both answer choices are sufficient alone in answering the question.

Jbborgla, use x=-0.3 and y=-0.2... here x<y ; but u cannot answer this question with only sencond condition... hence IMO ans is A.

IMO: A - 45 secs

from statement 1: x is a positive number > the positive value of y which means x^2 will always be > y^2. sufficient

From statement 2: obviously not enough information since y could be a very large negitive number and x be a small negitive or positive. Insufficient.

answer. A

A

OA: A

OE: Q. If x^2 > y^2, is x>y?
1) x > |y|
2) |x| > y

1) gives you that x is positive and will always be greater than y (doesnt matter if y is positive or negative). Hence sufficient.

2) Depends on whether y is positive or negative - insufficient.

A)

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