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

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Manager
Joined: 14 Mar 2014
Posts: 141
GMAT 1: 710 Q50 V34
Product of two numbers is 30. If LCM of those two numbers is 15. Then  [#permalink]

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25 Jul 2015, 05:13
00:00

Difficulty:

65% (hard)

Question Stats:

23% (01:33) correct 77% (01:14) wrong based on 21 sessions

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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
Math Expert
Joined: 02 Aug 2009
Posts: 8343
Re: Product of two numbers is 30. If LCM of those two numbers is 15. Then  [#permalink]

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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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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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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.

GMAT assassins aren't born, they're made,
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Manager
Joined: 14 Mar 2014
Posts: 141
GMAT 1: 710 Q50 V34
Re: Product of two numbers is 30. If LCM of those two numbers is 15. Then  [#permalink]

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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

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.
Math Expert
Joined: 02 Aug 2009
Posts: 8343
Re: Product of two numbers is 30. If LCM of those two numbers is 15. Then  [#permalink]

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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

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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