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

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a, b, c and d are consecutive integers such that the product [#permalink] New post 05 Nov 2012, 06:01
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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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Re: a,b,c and D are consecutive integers [#permalink] New post 05 Nov 2012, 07:04
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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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Re: a,b,c and D are consecutive integers [#permalink] New post 05 Nov 2012, 08:08
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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, 08:09, edited 1 time in total.
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Re: a,b,c and D are consecutive integers [#permalink] New post 05 Nov 2012, 08:08
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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
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Senior Manager
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Re: a,b,c and D are consecutive integers [#permalink] New post 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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Re: a, b, c and d are consecutive integers such that the product [#permalink] New post 21 Sep 2014, 07:33
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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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