IS y<2x
(1) y/4<x/2
(2)( y-2x)/3 <0
DS-6
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HI abhasjha,
In certain DS questions, the answer to the question is hidden behind some "math fat." By doing some basic algebra, the exact answer to the question can be found "hidden" in a given Fact.
Here, we're asked if Y < 2X. This is a YES/NO question.
Fact 1: Y/4 < X/2
Here, we can multiply both sides by 4....
Y < 2X
Now we KNOW that Y < 2X, so the answer to the question is ALWAYS YES.
Fact 1 is SUFFICIENT
Fact 2: (Y-2X)/3 < 0
Again, a bit of algebra will simplify this inequality....multiply both sides by 3
Y - 2X < 0
Y < 2X
Here, we also KNOW that Y < 2X, so the answer to the question is ALWAYS YES.
Fact 2 is SUFFICIENT
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
In certain DS questions, the answer to the question is hidden behind some "math fat." By doing some basic algebra, the exact answer to the question can be found "hidden" in a given Fact.
Here, we're asked if Y < 2X. This is a YES/NO question.
Fact 1: Y/4 < X/2
Here, we can multiply both sides by 4....
Y < 2X
Now we KNOW that Y < 2X, so the answer to the question is ALWAYS YES.
Fact 1 is SUFFICIENT
Fact 2: (Y-2X)/3 < 0
Again, a bit of algebra will simplify this inequality....multiply both sides by 3
Y - 2X < 0
Y < 2X
Here, we also KNOW that Y < 2X, so the answer to the question is ALWAYS YES.
Fact 2 is SUFFICIENT
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
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abhasjha wrote:Is y < 2x?
(1) y/4 < x/2
(2)(y - 2x)/3 < 0
Target question: Is y < 2x? (YES/NO question)
Statement 1: y/4 < x/2
Eliminate the fractions by multiplying both sides by 4 to get: y < 2x
PERFECT! This matches the question our target question is asking.
So, YES, it is definitely the case that y < 2x
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: (y - 2x)/3 < 0
To analyze this statement, we can use something I call The Something Method (free video here: https://www.gmatprepnow.com/module/gmat- ... ing?id=988)
So, this statement tell us that (something)/3 < 0
3 is a positive #, so we have: (something)/(positive #) < 0
This tells us that something is NEGATIVE
So, something < 0
This means y - 2x < 0
Add 2x to both sides to get y < 2x
PERFECT! This matches the question our target question is asking.
So, YES, it is definitely the case that y < 2x
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer = D
Cheers,
Brent
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abhasjha wrote:IS y<2x
(1) y/4<x/2
(2)( y-2x)/3 <0
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