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# Given that 6 is a divisor of rand r is a factor of 5, is 6 a

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Senior Manager
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Given that 6 is a divisor of rand r is a factor of 5, is 6 a [#permalink]  19 Aug 2011, 00:07
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How to solve this ? Please explain in detail

Given that 6 is a divisor of rand r is a factor of 5, is 6 a factor of 5?
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Re: Given that 6 is a divisor of rand r is a factor of 5, is 6 a [#permalink]  19 Aug 2011, 00:20
Are you sure question is complete? 6 a factor of 5? Factors of 5 are 1 and 5.
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Re: Given that 6 is a divisor of rand r is a factor of 5, is 6 a [#permalink]  19 Aug 2011, 00:38
Are you sure question is complete? 6 a factor of 5? Factors of 5 are 1 and 5.

Yes, the question is complete ...
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Re: Given that 6 is a divisor of rand r is a factor of 5, is 6 a [#permalink]  19 Aug 2011, 22:49
can someone please explain this in detail???
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Re: Given that 6 is a divisor of rand r is a factor of 5, is 6 a [#permalink]  19 Aug 2011, 23:45
siddhans wrote:
How to solve this ? Please explain in detail

Given that 6 is a divisor of rand r is a factor of 5, is 6 a factor of 5?

This question is either stupid or there is a typo.

The red text becomes irrelevant if we just need to answer whether 6 a factor of 5. The answer to that is NO. 6 is Not a factor of 5; 1 and 5 are factors of 5, as jamifahad already said.

siddhans:
Please check the question again.
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Re: Given that 6 is a divisor of rand r is a factor of 5, is 6 a [#permalink]  20 Aug 2011, 00:21
fluke wrote:
siddhans wrote:
How to solve this ? Please explain in detail

Given that 6 is a divisor of rand r is a factor of 5, is 6 a factor of 5?

This question is either stupid or there is a typo.

The red text becomes irrelevant if we just need to answer whether 6 a factor of 5. The answer to that is NO. 6 is Not a factor of 5; 1 and 5 are factors of 5, as jamifahad already said.

siddhans:
Please check the question again.

My bad, the question should be : Given that 6 is a divisor of r and r is a factor of s, is 6 a factor of s?
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Re: Given that 6 is a divisor of rand r is a factor of 5, is 6 a [#permalink]  20 Aug 2011, 00:43
siddhans wrote:
fluke wrote:
siddhans wrote:
How to solve this ? Please explain in detail

Given that 6 is a divisor of rand r is a factor of 5, is 6 a factor of 5?

This question is either stupid or there is a typo.

The red text becomes irrelevant if we just need to answer whether 6 a factor of 5. The answer to that is NO. 6 is Not a factor of 5; 1 and 5 are factors of 5, as jamifahad already said.

siddhans:
Please check the question again.

My bad, the question should be : Given that 6 is a divisor of r and r is a factor of s, is 6 a factor of s?

Here is my comment -

If 6 is a divisor or r, then r must be a multiple of 6. Do you get this part? Say r = 12, 12 is divisible by 6 and thus is a multiple of 6.
If r is further a factor of s, that means s is a multiple of r.

All this means is that if you add 'few' (exact number doesnt matter) 6's, you get r and if you add 'few' (again number not important) r's, you get s. And because s is made up of r's and r's in turn are made up of 6's, s must be made of 6's as well. Do you understand all this? So yes, 6 must be a factor of s.

IMPORTANT NOTE:- If 6 is a divisor of r, that means r/6 = integer. You could say that if r = zero, r/6 = zero (integer)(Also zero is a multiple of anything). This means r is made up of 'zero' number of 6's.
Its all ok till this part. But r cannot be zero in this question particularly, because if we go further in the question, r is a factor of s. ZERO CANNOT BE A FACTOR OF ANYTHING BECAUSE ANYTHING/ZERO = NOT DEFINED.

Let me know if you dont understand any of above.
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Re: Given that 6 is a divisor of rand r is a factor of 5, is 6 a [#permalink]  20 Aug 2011, 00:48
siddhans wrote:
My bad, the question should be : Given that 6 is a divisor of r and r is a factor of s, is 6 a factor of s?

Definitely Yes.
If 'x' is a factor of 'y', ALL the factors of 'x' will also be a factor of 'y'.

Now,
6 is a divisor of r
Or
6 is a factor of r

AND
r is a factor of s. We know if 'r' is a factor of 's', ALL the factors of r will also be factors of s. And we also know that 6 is a factor of r. Thus, 6 must be a factor of s.
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Re: Given that 6 is a divisor of rand r is a factor of 5, is 6 a [#permalink]  20 Aug 2011, 14:27

r/6 => r is a multiple of 6. lets say r = 6m

r is a factor of s => s = r (n ) = 6m * n

From the above sentence, we can clearly say 6 is a factor of s.
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Re: Given that 6 is a divisor of rand r is a factor of 5, is 6 a [#permalink]  01 Sep 2011, 22:02
Spidy001 wrote:

r/6 => r is a multiple of 6. lets say r = 6m

r is a factor of s => s = r (n ) = 6m * n

From the above sentence, we can clearly say 6 is a factor of s.

Good Explanation though.
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Re: Given that 6 is a divisor of rand r is a factor of 5, is 6 a [#permalink]  02 Sep 2011, 00:07
6 is a factor S as 6 is a factor of R and R is a factor of S.

Let R be 36, 6 is a factor of 36. Let S be 72. (6*6*2=72)

Therefore, 6 is a factor of S
Re: Given that 6 is a divisor of rand r is a factor of 5, is 6 a   [#permalink] 02 Sep 2011, 00:07
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# Given that 6 is a divisor of rand r is a factor of 5, is 6 a

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