Hi,

It’s a pretty straight forward question, where it requires basic word to math conversion knowledge.

Given: X and Y are two positive numbers.

Question: Is X > Y ?

Statement I is sufficient:

(X+Y)/2 > Y

X + Y > 2Y

So, X > Y.

It is sufficient.

Statement II is sufficient:

X is Z% less than the sum (X+Y), where Z is a positive number and Z < 40.

Converting to Math,

X = (X+Y) – Z%(X+Y)

X = (X+Y) – Z%(X+Y)

X = (X+Y)*(1-Z/100)

Given,

Z < 40

Lets assume for a moment, Z = 40

X = (X+Y) * (1-40/100)

X = (X+Y) * 3/5

Solving it we get,

5X = 3X + 3Y

2X = 3Y

X = 3/2 * Y

So, X > Y when we take Z = 40, taking Z further lesser value will have X > Y only.

So statement II is also sufficient.

So the answer is D.

Hope it is clear.

_________________

GMAT Mentors