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04 Jan 2021, 11:04
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
62% (01:24) correct
38%
(01:29)
wrong
based on 100
sessions
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Not Attempted Yet
If x and y are positive integers and if x is a prime factor of y, is x^2 a factor of y?
(1) x < 6
(2) y = 36
(1) x < 6
(2) y = 36
Ekland
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04 Jan 2021, 16:14
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Bunuel
ANSWER: B
This question is a test of knowledge of primes.
1: x could be any of 1,2,3,4,5. but we dont know that what y actually is. y could be more than x OR same as x since any number is a factor of itself. if x=y then x^2 is defnitely NOT a factor of y. if x<y then it almost defnitely is a factor of y. BUT we can't tell. so 1 is NOT SUFFICIENT
2: this is straight to the point. 36 has only 2 and 3 as prime factors. the square of either gives you a value that is still a factor of 36. So we can definitely say YES 2 is SUFFICIENT
NB: you may restructure the question stem in your head as "Is Y a prime number?" such that once you see any of 1 or 2 that shows Y is NOT a prime or is a prime, you could QUICKLY tell it's sufficient. 1 did not talk about Y at all. 2 shows quickly that Y is not a prime. eureka!
05 Jan 2021, 19:15
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If x and y are positive integers and if x is a prime factor of y, is x^2 a factor of y?
Stat1: x < 6 so, x= 2,3 or 5, but we don't know y. Insufficient.
Stat2: y = 36 = 2^2*3^2, x= 2 or 3 and x^2 will be a factor of y. Sufficient.
So, I think B.
Stat1: x < 6 so, x= 2,3 or 5, but we don't know y. Insufficient.
Stat2: y = 36 = 2^2*3^2, x= 2 or 3 and x^2 will be a factor of y. Sufficient.
So, I think B.
