Hi LulaBrazilia,

This DS question can be solved by TESTing Values...

We're told that Y is greater than 110% of X. We're asked "is Y > 75?" This is a YES/NO question.

Fact 1: X > 75

Since we know that X is greater than 75 AND we know that Y is greater than 110% of X, then at the minimum we'd have...

X = 75.1
Y > 1.1(75.1) ------> Don't waste time on this math....You KNOW that Y > 75.

As X gets bigger, then Y will get even bigger (and will ALWAYS be > 75)
The answer to the question is ALWAYS YES.
Fact 1 is SUFFICIENT

Fact 2: Y - X = 10

Let's TEST Values....

If....
X=1
Y=11
110% of X = 1.1
Y IS greater than 110% of X
Is Y > 75? The answer to the question is NO.

If...
X=70
Y=80
110% of X = 77
Y IS greater than 110% of X
Is Y > 75? The answer to the question is YES.
Fact 2 is INSUFFICIENT.

Final Answer: A

GMAT assassins aren't born, they're made,
Rich

LulaBrazilia wrote: ↑

Tue Mar 11, 2014 7:03 pm

If y is greater than 110 percent of x, is y greater than 75?

1) x > 75

2) y-x = 10

Solution:

Question Stem Analysis:

We need to determine whether y is greater than 75, given that it’s greater than 110% of x.

Statement One Alone:

Since x > 75 and y > 1.1x, then y > 1.1(75) = 82.5. Since y > 82.5, then y > 75. Statement one alone is sufficient.

Statement Two Alone:

Since y = x + 10 and y > 1.1x, we have:

x + 10 > 1.1x

10 > 0.1x

100 > x

We see that x < 100. However, we can’t determine whether y > 75. For example, if x = 70, then y = 1.1x = 77. However, if x = 60, then y = 1.1x = 66. In the former case, y > 75; in the latter case, y < 75. Statement two alone is not sufficient.

Answer: A