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Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

Is x > y?

(1) x^2 > y
(2) x – |y| > 0


In the question above, in 2), x>|y| becomes -x<y<x, which is yes and sufficient.
Thus, B is the answer.
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Is x > y?

(1) x^2 > y
=> if y = 2 then for
x=3, x^2>y but x>y
x=-3, x^2>y but x<y
Insufficient.
(2) x – |y| > 0
x>lyl
lyl is always some positive value.
x is always positive with value greater then y.
Sufficient
B
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Bunuel
Is x > y?

(1) x^2 > y

(2) x – |y| > 0

Question: Is x > y?

St 1: x^2 > y

Test some numbers: If x = 2 & y = 1,

then x^2 > y & also x > y

If x = -2 & y = 1,

then x^2 > y, but x < y

Insufficient

St 2: x – |y| > 0

means x > |y| (As we know absolute value is always >= 0)

If x > |y|, we can safely say that x > y

Sufficient.

(B)
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Bunuel
Is x > y?

(1) x^2 > y

(2) x – |y| > 0

#1
x can b -ve or +ve insufficient
#2
x>lyl
y would be fraction value
IMO B
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(1) x^2 > y .... can't able to prove anything

(2) x - |y| > 0
=> x-y > 0 => x>y
=> x+y > 0 => x > -y => -x<y
Thus -x<y<x. SUFFICIENT
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Bunuel
Is x > y?

(1) x^2 > y

(2) x – |y| > 0

In (2), can we take lYl on the other side and square it?
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Is x > y?

(1) x^2 > y
Clearly insufficient.
x can be positive or negative and x^2 can be greater than y.
x = -ve then y could be greater
x = +ve then y could be smaller

(2) x – |y| > 0
x > |y|
RHS is always positive so we know that x will always be greater than y
Sufficient.
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VeritasKarishma plz explain
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Bunuel
Is x > y?

(1) x^2 > y

(2) x – |y| > 0


(1) x^2 > y

Say x = 2 so x^2 = 4.
We are given that 4 > y. Now note that y could be 3 or 1 (or infinite other values). So y may be greater than x or less than x.
Not sufficient


(2) x – |y| > 0

x > |y|

Note that |y| is always positive. So |y| is either equal to y (when y is positive) or |y| is greater than y (when y is negative).
So |y| >= y
Since x is greater than |y|, it is certainly greater than y too (since y is equal to |y| or less than |y|).
Sufficient

Answer (B)
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