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# a, b, c and d are consecutive integers such that the product

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Kudos [?]: 35 [1] , given: 282

a, b, c and d are consecutive integers such that the product [#permalink]  05 Nov 2012, 06:01
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26% (02:44) correct 74% (01:03) wrong based on 49 sessions
a, b, c and d are consecutive integers such that the product abcd=5040, what is the value of d?

(1) d is prime
(2) a>b>c>d
[Reveal] Spoiler: OA

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Kudos [?]: 246 [1] , given: 142

Re: a,b,c and D are consecutive integers [#permalink]  05 Nov 2012, 07:04
1
KUDOS
Factorize:

5040
= $$2^4X3^2X5X7$$
=7x8x9x10

A: If d is a prime, only possible value is 7. - Sufficient.
B: a>b>c>d => d = 7 - Sufficient

Am I missing something ?
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Kudos [?]: 405 [3] , given: 23

Re: a,b,c and D are consecutive integers [#permalink]  05 Nov 2012, 08:08
3
KUDOS
rajathpanta wrote:
a,b,c and d are consecutive integers such that the product abcd=5040, what is the value of d?

(1) d is prime
(2) a>b>c>d

Question says,

abcd =5040
thus
a,b,c and d could be 7,8,9 and 10 or -7, -8, -9, -10 because

7*8*9*10 = 5040
and also
(-7)*(-8)*(-9)*(-10)=5040

Statement 1: d is prime. Clearly d is 7, as prime can not be negative. Sufficient

Statement 2: a>b>c>d => d could be 7 or -10. Not sufficient.

Hence ans A it is.
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Last edited by Vips0000 on 05 Nov 2012, 08:09, edited 1 time in total.
Current Student
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 648
Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Followers: 38

Kudos [?]: 405 [1] , given: 23

Re: a,b,c and D are consecutive integers [#permalink]  05 Nov 2012, 08:08
1
KUDOS
ConnectTheDots wrote:
Factorize:

5040
= $$2^4X3^2X5X7$$
=7x8x9x10

A: If d is a prime, only possible value is 7. - Sufficient.
B: a>b>c>d => d = 7 - Sufficient

Am I missing something ?

yes, possibility of negative numbers
_________________

Lets Kudos!!!
Black Friday Debrief

Senior Manager
Status: Prevent and prepare. Not repent and repair!!
Joined: 13 Feb 2010
Posts: 278
Location: India
Concentration: Technology, General Management
GPA: 3.75
WE: Sales (Telecommunications)
Followers: 9

Kudos [?]: 35 [0], given: 282

Re: a,b,c and D are consecutive integers [#permalink]  05 Nov 2012, 08:38
Yes thats the mean little trick there. You will have to consider the negative numbers too.
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I've failed over and over and over again in my life and that is why I succeed--Michael Jordan
Kudos drives a person to better himself every single time. So Pls give it generously
Wont give up till i hit a 700+

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Joined: 09 Sep 2013
Posts: 4920
Followers: 298

Kudos [?]: 54 [0], given: 0

Re: a, b, c and d are consecutive integers such that the product [#permalink]  21 Sep 2014, 07:33
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: a, b, c and d are consecutive integers such that the product   [#permalink] 21 Sep 2014, 07:33
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