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Is a positive integer k is divisible by 3?

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Is a positive integer k is divisible by 3?  [#permalink]

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New post 04 Dec 2018, 03:35
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

72% (01:13) correct 28% (01:02) wrong based on 148 sessions

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Re: Is a positive integer k is divisible by 3?  [#permalink]

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New post 04 Dec 2018, 03:47
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The answer is D.

1) This means that k is divisible by 81 ==> it is definitely divisible by 3!
2) this is only true for square numbers (9, 36, 81) whose roots (3, 6, 9) are divisible by 3 themselves. Yes!
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Re: Is a positive integer k is divisible by 3?  [#permalink]

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New post 24 Dec 2018, 01:31
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Re: Is a positive integer k is divisible by 3?  [#permalink]

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New post 29 Dec 2018, 06:33
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The only catch in this question is to remember that k is a positive integer such as 1 or 2 or 3 or so on...

Let's look at the statements:

Statement 1: If \(\sqrt{k}\) is divisible by 9, naturally k will be divisible by 3 also since \(3^2\)=9

Statement 2: Now, here's where the catch comes into play. If \(k^2\) is divisible by 3 and k is a positive integer, k will definitely be divisible by 3 too. Note here, that we cannot take k to be a value such as \(\sqrt{3}\), this is because k is a positive integer.

So, clearly, both statements are sufficient and answer is D
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Re: Is a positive integer k is divisible by 3?   [#permalink] 29 Dec 2018, 06:33
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