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The product of two numbers is 2028 and their HCF is 13. What are the n

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Intern
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S
Joined: 19 Dec 2016
Posts: 47
Location: India
Concentration: Technology, Leadership
WE: Consulting (Computer Software)
The product of two numbers is 2028 and their HCF is 13. What are the n  [#permalink]

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New post 17 Jul 2017, 13:54
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The product of two numbers is 2028 and their HCF is 13. What are the number of such pairs?

A. 4
B. 3
C. 2
D. 1
E. 5

Kudo please if you liked the ques.

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Re: The product of two numbers is 2028 and their HCF is 13. What are the n  [#permalink]

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New post 17 Jul 2017, 15:23
Let a*b = 2028

2028 = 13*13*3*2*2

a b
13 13*3*2*2
13*3 13*2*2

Answer is C
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V
Joined: 22 May 2016
Posts: 2759
The product of two numbers is 2028 and their HCF is 13. What are the n  [#permalink]

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New post 17 Jul 2017, 15:35
GTExl wrote:
The product of two numbers is 2028 and their HCF is 13. What are the number of such pairs?

A. 4
B. 3
C. 2
D. 1
E. 5

Kudo please if you liked the ques.

13 * 156 = 2,028

26 * 78 = 2,028

39 * 52 = 2,028

That's three pairs. I keep testing GCF because OA is two pairs... What am I missing?
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Senior Manager
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Joined: 24 Apr 2016
Posts: 331
Re: The product of two numbers is 2028 and their HCF is 13. What are the n  [#permalink]

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New post 17 Jul 2017, 16:29
1
genxer123 wrote:
GTExl wrote:
The product of two numbers is 2028 and their HCF is 13. What are the number of such pairs?

A. 4
B. 3
C. 2
D. 1
E. 5

Kudo please if you liked the ques.

13 * 156 = 2,028

26 * 78 = 2,028

39 * 52 = 2,028

That's three pairs. I keep testing GCF because OA is two pairs... What am I missing?


13 is the highest common factor. In the combination 26 * 78, HCF is 26. Hence this combination is out.
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Joined: 22 May 2016
Posts: 2759
The product of two numbers is 2028 and their HCF is 13. What are the n  [#permalink]

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New post 17 Jul 2017, 17:08
quantumliner wrote:
genxer123 wrote:
GTExl wrote:
The product of two numbers is 2028 and their HCF is 13. What are the number of such pairs?

A. 4
B. 3
C. 2
D. 1
E. 5

Kudo please if you liked the ques.

13 * 156 = 2,028

26 * 78 = 2,028

39 * 52 = 2,028

That's three pairs. I keep testing GCF because OA is two pairs... What am I missing?


13 is the highest common factor. In the combination 26 * 78, HCF is 26. Hence this combination is out.

Wow, was that a dumb mistake. I factored 78 incorrectly. Thanks, quantumliner :-)

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This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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The product of two numbers is 2028 and their HCF is 13. What are the n   [#permalink] 17 Jul 2017, 17:08
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The product of two numbers is 2028 and their HCF is 13. What are the n

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