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Updated on: 14 Apr 2015, 05:02
Originally posted by Harley1980 on 13 Apr 2015, 21:18.
Last edited by Harley1980 on 14 Apr 2015, 05:02, edited 2 times in total.
Last edited by Harley1980 on 14 Apr 2015, 05:02, edited 2 times in total.
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
57% (01:42) correct
43%
(01:46)
wrong
based on 173
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How many different prime factors does positive integer x have?
1) \(1 < x < 6\)
2) \(5x^2\) has four factors
Source: self-made
1) \(1 < x < 6\)
2) \(5x^2\) has four factors
Source: self-made
13 Apr 2015, 23:25
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Harley1980
You must specify that x is an integer since you are talking about factors of x - otherwise a discussion on factors makes no sense.
Assuming x is an integer, each statement alone is sufficient.
1) \(1 < x < 6\)
x could be 2/3/4/5. In each case, it has only one distinct PRIME factor. We don't know the value of x but we know that it will have only one distinct prime factor. Sufficient
2) \(5x^2\) has four factors.
Number of factors of 5x^2 will depend on x.
If x is 5, number of factors will be (3+1) = 4
If x is a prime number other than 5, number of factors will be (1+1)(2+1) = 2*3 = 6
If x is a composite number, number of factors will be even more.
Since number of factors is 4, x must be 5 and has one distinct prime factor. Sufficient
Answer (D)
General Discussion
14 Apr 2015, 04:19
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VeritasPrepKarishma
I didn't know about such rule (
Thanks for clarification.
