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Is a positive integer x an even number? 1) The smallest prime factor o

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Is a positive integer x an even number? 1) The smallest prime factor o  [#permalink]

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New post 11 Jul 2017, 01:39
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A
B
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D
E

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Is a positive integer x an even number?

1) The smallest prime factor of x is 2.
2) The greatest prime factor of x is 13.

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Re: Is a positive integer x an even number? 1) The smallest prime factor o  [#permalink]

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New post 11 Jul 2017, 01:44
MathRevolution wrote:
Is a positive integer x an even number?

1) The smallest prime factor of x is 2.
2) The greatest prime factor of x is 13.


(1) It is clear that x is even. Sufficient.

(2) We can't know whether x is divisible by 2 or not. Insufficient.

The answer is A.
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Re: Is a positive integer x an even number? 1) The smallest prime factor o  [#permalink]

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New post 11 Jul 2017, 01:54
MathRevolution wrote:
Is a positive integer x an even number?

1) The smallest prime factor of x is 2.
2) The greatest prime factor of x is 13.


1) The smallest prime factor of \(x\) is \(2\).

Any number which is multiple of \(2\) is an even number.

Since \(x\) has \(2\) as its factor, \(x\) is multiple of \(2\) and hence \(x\) is an even number.

I is Sufficient.

2) The greatest prime factor of \(x\) is \(13\).

\(x\) has \(13\) as its factor. We cannot determine if \(x\) has any even factors. Hence II is Not Sufficient.

Answer (A)...

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Re: Is a positive integer x an even number? 1) The smallest prime factor o  [#permalink]

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New post 11 Jul 2017, 02:00
MathRevolution wrote:
Is a positive integer x an even number?

1) The smallest prime factor of x is 2.
2) The greatest prime factor of x is 13.

very easy..

for a number to be even it should be multiple of 2..

case 1 clearly says that.

case b- highest prime factor is 13,

no could be 13; 26;39 and so on.. cant'say from this

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Re: Is a positive integer x an even number? 1) The smallest prime factor o  [#permalink]

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New post 13 Jul 2017, 02:05
==> In the original condition, there is 1 variable (x) and in order to match the number of variables to the number of equations, there must be 1 equations. Since there is 1 for con 1) and 1 for con 2), D is most likely to be the answer. For con 1), since x always has 2 as the factor, you get x=even, hence yes, it is sufficient. For con 2), you get x=2*13 yes but x=13 no, hence it is not sufficient.

The answer is A.
Answer: A
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Re: Is a positive integer x an even number? 1) The smallest prime factor o   [#permalink] 13 Jul 2017, 02:05
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