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24 May 2022, 02:16
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A
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Difficulty:
15%
(low)
Question Stats:
82% (01:13) correct
18%
(01:24)
wrong
based on 56
sessions
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If n is a positive integer, is 30 a factor of n?
(1) 30 is a factor of n^2.
(2) 30 is a factor of 2n.
(1) 30 is a factor of n^2.
(2) 30 is a factor of 2n.
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04 Jun 2022, 20:15
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Bunuel
If n is an integer, is 30 a factor of n?
(1) 30 is a factor of n^2.
(2) 30 is a factor of 2n.
(1) 30 is a factor of n^2.
(2) 30 is a factor of 2n.
If n is an integer, is 30 a factor of n?
(1) 30 is a factor of n^2. If 30=2*3*5 is not a factor of n (if 2, 3 and 5 are not factors of n), then how these factors could appear in n^2? Exponentiation doesn't "produce" primes. Sufficient.
(2) 30 is a factor of 2n. Clearly insufficient: if n=15 then the answer is NO but if n=30 then the answer is YES. Not sufficient.
Answer: A.
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24 May 2022, 06:43
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Bunuel
If n is a positive integer, is 30 a factor of n?
(1) 30 is a factor of n^2.
(2) 30 is a factor of 2n.
(1) 30 is a factor of n^2.
(2) 30 is a factor of 2n.
We have 30 = 2 x 3 x 5
All of these are prime numbers
Statement 1
30 is a factor of n^2. Since 30 has all prime factors with base values hence 30 is a factor of n
--> Sufficient
Statement 2
n can be 15 and that would not be feasible
n can be 30 and that would be feasible
--> Insufficient
Option A
