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

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Senior Manager
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Kudos [?]: 61 [2] , given: 282

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

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05 Nov 2012, 07:01
2
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4
This post was
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Difficulty:

95% (hard)

Question Stats:

33% (02:44) correct 67% (01:22) wrong based on 102 sessions

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$$a$$, $$b$$, $$c$$ 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 drives a person to better himself every single time. So Pls give it generously
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Kudos [?]: 314 [1] , given: 142

Re: a, b, c and d are consecutive integers such that the product [#permalink]

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05 Nov 2012, 08:04
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 [?]: 472 [3] , given: 23

Re: a, b, c and d are consecutive integers such that the product [#permalink]

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05 Nov 2012, 09:08
3
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This post was
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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, 09:09, edited 1 time in total.
Director
Status: Done with formalities.. and back..
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Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Followers: 43

Kudos [?]: 472 [1] , given: 23

Re: a, b, c and d are consecutive integers such that the product [#permalink]

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05 Nov 2012, 09:08
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: 275
Location: India
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GPA: 3.75
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Followers: 9

Kudos [?]: 61 [1] , given: 282

Re: a, b, c and d are consecutive integers such that the product [#permalink]

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05 Nov 2012, 09:38
1
KUDOS
Yes thats the mean little trick there. You will have to consider the negative numbers too.
_________________

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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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Kudos [?]: 115 [0], given: 0

Re: a, b, c and d are consecutive integers such that the product [#permalink]

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21 Sep 2014, 08:33
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Kudos [?]: 1 [0], given: 3

Re: a, b, c and d are consecutive integers such that the product [#permalink]

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31 May 2015, 01:10
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

In that case, answer should be E because with stmt 1 again, d value is either 7 or -7.
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Kudos [?]: 68463 [0], given: 9805

Re: a, b, c and d are consecutive integers such that the product [#permalink]

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31 May 2015, 06:09
Expert's post
sinhap07 wrote:
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

In that case, answer should be E because with stmt 1 again, d value is either 7 or -7.

d is a prime number, so it cannot be -7. Only positive integers can be primes (the smallest prime is 2).
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Re: a, b, c and d are consecutive integers such that the product [#permalink]

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01 Jun 2015, 10:27
Hi Bunuel,

Does that mean the anwer is wrong.

Bunuel wrote:
sinhap07 wrote:
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

In that case, answer should be E because with stmt 1 again, d value is either 7 or -7.

d is a prime number, so it cannot be -7. Only positive integers can be primes (the smallest prime is 2).

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Kudos to you, for helping me with some KUDOS.

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Posts: 32558
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Kudos [?]: 68463 [0], given: 9805

Re: a, b, c and d are consecutive integers such that the product [#permalink]

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01 Jun 2015, 10:40
Expert's post
shriramvelamuri wrote:
Hi Bunuel,

Does that mean the anwer is wrong.

___________________
No, the answer is still A.
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Re: a, b, c and d are consecutive integers such that the product   [#permalink] 01 Jun 2015, 10:40
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