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13 Apr 2015, 00:57
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
44% (01:22) correct
56%
(01:12)
wrong
based on 187
sessions
History
Date
Time
Result
Not Attempted Yet
How many different prime factors does x have?
1) \(5x^2\) has two different prime factors
2) \(x > 1\)
Source: self-made.
1) \(5x^2\) has two different prime factors
2) \(x > 1\)
Source: self-made.
13 Apr 2015, 12:38
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Hi Harley1980,
If you're comfortable with the math 'rules' involved, you might be able to answer this question with a 'conceptual' approach. However, TESTing VALUES will help you to get the necessary PROOF of the correct answer.
We're asked for the number of DIFFERENT prime factors of X.
Fact 1: 5X^2 has 2 DIFFERENT prime factors
IF....
X = 2
5X^2 = 20, which has 2 different prime factors (2 and 5)
X = 2, so X has ONE prime factor
IF.....
X = 10
5X^2 = 500, which has 2 different prime factors (2 and 5)
X = 10, so X has TWO different prime factors
Fact 1 is INSUFFICIENT
Fact 2: X > 1
We already have all the work we need to deal with THIS Fact too. The two examples that we used for Fact 1 will 'fit' here....
IF....
X = 2
5X^2 = 20, which has 2 different prime factors (2 and 5)
X = 2, so X has ONE prime factor
IF.....
X = 10
5X^2 = 500, which has 2 different prime factors (2 and 5)
X = 10, so X has TWO different prime factors
Fact 2 is INSUFFICIENT
Combined, we have two different results that already 'fit' BOTH Facts (and provide different results: 1 YES and 1 NO)
Combined, INSUFFICIENT
Final Answer:
GMAT assassins aren't born, they're made,
Rich
If you're comfortable with the math 'rules' involved, you might be able to answer this question with a 'conceptual' approach. However, TESTing VALUES will help you to get the necessary PROOF of the correct answer.
We're asked for the number of DIFFERENT prime factors of X.
Fact 1: 5X^2 has 2 DIFFERENT prime factors
IF....
X = 2
5X^2 = 20, which has 2 different prime factors (2 and 5)
X = 2, so X has ONE prime factor
IF.....
X = 10
5X^2 = 500, which has 2 different prime factors (2 and 5)
X = 10, so X has TWO different prime factors
Fact 1 is INSUFFICIENT
Fact 2: X > 1
We already have all the work we need to deal with THIS Fact too. The two examples that we used for Fact 1 will 'fit' here....
IF....
X = 2
5X^2 = 20, which has 2 different prime factors (2 and 5)
X = 2, so X has ONE prime factor
IF.....
X = 10
5X^2 = 500, which has 2 different prime factors (2 and 5)
X = 10, so X has TWO different prime factors
Fact 2 is INSUFFICIENT
Combined, we have two different results that already 'fit' BOTH Facts (and provide different results: 1 YES and 1 NO)
Combined, INSUFFICIENT
Final Answer:
GMAT assassins aren't born, they're made,
Rich
13 Apr 2015, 21:07
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EMPOWERgmatRichC
Actually I have planned another trick in this task, but looks like this was unsuccessful attempt and task not as interesting as it was planned.
Great thanks you for your detail analysis.
