P and Q. G =?

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Fri May 21, 2010 4:08 am

G, P, and Q are integers, P = K + 6; G is the greatest common factor of P and Q. G =?

(1) Q = 2531.

(2) Q = K + 7.

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Source: Beat The GMAT — Data Sufficiency | Fri May 21, 2010 4:08 am

liferocks: Legendary Member; Posts: 576; Joined: Sat Mar 13, 2010 8:31 pmFollowed by: 1 member; Thanked: 97 times

by liferocks » Fri May 21, 2010 4:14 am

From 1,
no information about P...not sufficient

From 2
P and Q are consecutive integers and consecutive integers are all always co-prime..hence G=1...sufficient

Ans option B

"If you don't know where you are going, any road will get you there."
Lewis Carroll

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gmatmachoman: Legendary Member; Posts: 2326; Joined: Mon Jul 28, 2008 3:54 amFollowed by: 2 members; Thanked: 173 times; GMAT Score:710

by gmatmachoman » Fri May 21, 2010 11:04 am

liferocks wrote:From 1,
no information about P...not sufficient

From 2
P and Q are consecutive integers and consecutive integers are all always co-prime..hence G=1...sufficient

Ans option B

LR, what will be the HCF of (0,1) ???

R&D on GMAT algorithm:

https://www.beatthegmat.com/r-d-on-gmat- ... tml#305739

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kel2010: Junior | Next Rank: 30 Posts; Posts: 16; Joined: Tue Apr 06, 2010 12:19 pm; Location: US; Thanked: 1 times

by kel2010 » Fri May 21, 2010 12:40 pm

LR, what will be the HCF of (0,1) ???

gcd= 1

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liferocks: Legendary Member; Posts: 576; Joined: Sat Mar 13, 2010 8:31 pmFollowed by: 1 member; Thanked: 97 times

by liferocks » Fri May 21, 2010 5:52 pm

gmatmachoman wrote:
liferocks wrote:From 1,
no information about P...not sufficient

From 2
P and Q are consecutive integers and consecutive integers are all always co-prime..hence G=1...sufficient

Ans option B
LR, what will be the HCF of (0,1) ???

GCD of (a,0)=|a| for a not equal to zero since any number is a divisor of 0, and the greatest divisor of a is |a|.
So, HCF of (0,1)=1

"If you don't know where you are going, any road will get you there."
Lewis Carroll

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gmatmachoman: Legendary Member; Posts: 2326; Joined: Mon Jul 28, 2008 3:54 amFollowed by: 2 members; Thanked: 173 times; GMAT Score:710

by gmatmachoman » Fri May 21, 2010 9:13 pm

Then B is the best answer!

as LR rightly pointed out, consecutive integers are co-prime...HCF is 1

R&D on GMAT algorithm:

https://www.beatthegmat.com/r-d-on-gmat- ... tml#305739

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