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Does positive integer a equal 5? (1) a is a not factor of 6006.

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Does positive integer a equal 5? (1) a is a not factor of 6006.  [#permalink]

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New post 06 May 2019, 01:42
1
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

61% (01:03) correct 39% (01:28) wrong based on 66 sessions

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Re: Does positive integer a equal 5? (1) a is a not factor of 6006.  [#permalink]

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New post 06 May 2019, 01:46
From statement 1
A can be 4 or 5 or 8 or so on
Therefore Not sufficient.

From statement 2

Largest divisor of any number is number itself
Therefore a=5
Hence statement B is sufficient

Option B

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Re: Does positive integer a equal 5? (1) a is a not factor of 6006.  [#permalink]

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New post 06 May 2019, 04:22
1
Bunuel wrote:
Does positive integer a equal 5?

(1) a is a not factor of 6006.
(2) 5 is the largest divisor of a.


#1
a is a not factor of 6006
not sufficient as a can be many other values
#2
5 is the largest divisor of a
only possible when a=5
sufficient
IMO B
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Does positive integer a equal 5? (1) a is a not factor of 6006.  [#permalink]

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New post 15 Sep 2019, 06:21
Top Contributor
Bunuel wrote:
Does positive integer a equal 5?

(1) a is a not factor of 6006.
(2) 5 is the largest divisor of a.


Target question: Does positive integer a equal 5?

Statement 1: a is a not factor of 6006.
There are several values of a that satisfy statement 1. Here are two:
Case a: 5 is not a factor of 6006, so, it could be the case that a = 5. In this case, the answer to the target question is YES, a = 5
Case b: 4 is not a factor of 6006, so, it could be the case that a = 4. In this case, the answer to the target question is NO, a does NOT equal 5
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: 5 is the largest divisor of a.
Key concept: If N is a positive integer, then the greatest divisor of N is N.
So, statement 2 is telling us that a = 5, in which case, the answer to the target question is YES, a = 5
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

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Brent
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Does positive integer a equal 5? (1) a is a not factor of 6006.   [#permalink] 15 Sep 2019, 06:21
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