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Product of two numbers is 30. If LCM of those two numbers is 15. Then

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Product of two numbers is 30. If LCM of those two numbers is 15. Then  [#permalink]

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New post 25 Jul 2015, 05:13
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Question Stats:

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Product of two numbers is 30. If LCM of those two numbers is 15. Then what is the HCF of those two numbers?

A) 2
B) 4
C) 1/2
D) 15
E) None of the above
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Posts: 8335
Re: Product of two numbers is 30. If LCM of those two numbers is 15. Then  [#permalink]

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New post 25 Jul 2015, 08:00
VenoMftw wrote:
Product of two numbers is 30. If LCM of those two numbers is 15. Then what is the HCF of those two numbers?

A) 2
B) 4
C) 1/2
D) 15
E) None of the above


as the heading suggests the Q is of not only poor quality but of "very poor Quality".
1) how can LCM not contain all prime numbers involved.. 2 is there in product and not in LCM..
2) HCF * LCM = product...
so hcf =2, but here HCF is not a divisor of LCM... not possible..

I cannot think of any two such numbers...
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Re: Product of two numbers is 30. If LCM of those two numbers is 15. Then  [#permalink]

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New post 25 Jul 2015, 10:49
VenoMftw wrote:
Product of two numbers is 30. If LCM of those two numbers is 15. Then what is the HCF of those two numbers?

A) 2
B) 4
C) 1/2
D) 15
E) None of the above


LCM x HCF = Product of Two numbers

15 x HCF = 30

i.e. HCF = 2

But this is an impossible Proposition because of LCM is 15 then none of the numbers can be even and in that case HCF = 2 is an impossible solution

In this case I don't find an appropriate answer choice which ideally should be "Improper Proposition" or "Data Inadequate"

To choose the bets option here I would take Option E without agreeing to it much
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Re: Product of two numbers is 30. If LCM of those two numbers is 15. Then  [#permalink]

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New post 25 Jul 2015, 17:47
Hi VenoMftw,

What is the source of this question? As the others have pointed out, it's poorly-written and not a match for proper GMAT 'style.' You would be better served avoiding questionable study materials and focusing on reputable content and sources.

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Re: Product of two numbers is 30. If LCM of those two numbers is 15. Then  [#permalink]

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New post 28 Jul 2015, 03:17
EMPOWERgmatRichC wrote:
Hi VenoMftw,

What is the source of this question? As the others have pointed out, it's poorly-written and not a match for proper GMAT 'style.' You would be better served avoiding questionable study materials and focusing on reputable content and sources.

GMAT assassins aren't born, they're made,
Rich


EMPOWERgmatRichC


Thank you for your feedback.

I have framed this question myself. I am sorry for the poor construction of this question.
My idea was to make sure that people understood the basics well.

As in many reputed book it is only mentions : LCM x HCF = Product of Two numbers
But overlook the fact that HCF must be a factor of LCM. Which is not in this case. So the answer for this question will be Data inadequate

I apologize for poor construction once again chetan2u. As i said earlier my intention was to share this concept as ppl remember well when they commit a mistake.
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Re: Product of two numbers is 30. If LCM of those two numbers is 15. Then  [#permalink]

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New post 28 Jul 2015, 03:22
VenoMftw wrote:
EMPOWERgmatRichC wrote:
Hi VenoMftw,

What is the source of this question? As the others have pointed out, it's poorly-written and not a match for proper GMAT 'style.' You would be better served avoiding questionable study materials and focusing on reputable content and sources.

GMAT assassins aren't born, they're made,
Rich


EMPOWERgmatRichC


Thank you for your feedback.

I have framed this question myself. I am sorry for the poor construction of this question.
My idea was to make sure that people understood the basics well.

As in many reputed book it is only mentions : LCM x HCF = Product of Two numbers
But overlook the fact that HCF must be a factor of LCM. Which is not in this case. So the answer for this question will be Data inadequate

I apologize for poor construction once again chetan2u. As i said earlier my intention was to share this concept as ppl remember well when they commit a mistake.


Hi,
everything is well if the intentions are good...
We all can learn from anything and everything :)
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Re: Product of two numbers is 30. If LCM of those two numbers is 15. Then   [#permalink] 28 Jul 2015, 03:22
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