If y is greater than 110 percent of x, is y greater than 75?
1) x > 75
2) yx = 10
is y greater than 75?
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The prompt data allows us to write y > 1.1x, and therefore ask is 1.1x > 75? > is x > 75/1.1 > is x > 750/11? Rephrase: is x > 68 and 2/11 ?
Statement (1) clearly answers the question, but what about (2)? The answer is A. I go through the question in detail in the full solution below (taken from the GMATFix App).
Patrick
Statement (1) clearly answers the question, but what about (2)? The answer is A. I go through the question in detail in the full solution below (taken from the GMATFix App).
Patrick
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y > 110/100 * x
TO find: y > 75
Statement 1:
x > 75
lets say x=75, then
y > 110/100 * 75 = 330/4 = 82
SUFFICIENT
Statement 2:
y  x = 10
y  10 = x
y > 11/10 * (y10)
y > 11y/10  11
y  11y/10 > 11
y/10 > 11
y < 110
We are not sure whether y > 75
INSUFFICIENT
[spoiler]{A}[/spoiler]
TO find: y > 75
Statement 1:
x > 75
lets say x=75, then
y > 110/100 * 75 = 330/4 = 82
SUFFICIENT
Statement 2:
y  x = 10
y  10 = x
y > 11/10 * (y10)
y > 11y/10  11
y  11y/10 > 11
y/10 > 11
y < 110
We are not sure whether y > 75
INSUFFICIENT
[spoiler]{A}[/spoiler]
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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
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
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Solution:LulaBrazilia wrote: ↑Tue Mar 11, 2014 7:03 pmIf y is greater than 110 percent of x, is y greater than 75?
1) x > 75
2) yx = 10
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
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