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If for integers a, b, c, and d, a + b + c + d = 4, does d =

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Manager
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If for integers a, b, c, and d, a + b + c + d = 4, does d = [#permalink]

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New post 22 Aug 2008, 15:45
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If for integers a, b, c, and d, a + b + c + d = 4, does d = 1?

(1) abc = 1
(2) ad = 1

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Intern
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Re: PR Test 4:DS Question [#permalink]

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New post 22 Aug 2008, 17:00
balboa wrote:
If for integers a, b, c, and d, a + b + c + d = 4, does d = 1?

(1) abc = 1
(2) ad = 1


Ans IMO C.
1 -> abc can be 111/1-1-1/-11-1/-1-11 accordingly d can be calculated.
2-> ad can be 11/-1-1

combine both: it has to be abcd = 1,1,1,1 adding upto 4.
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Re: PR Test 4:DS Question [#permalink]

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New post 22 Aug 2008, 20:13
balboa wrote:
If for integers a, b, c, and d, a + b + c + d = 4, does d = 1?

(1) abc = 1
(2) ad = 1



(1) abc = 1
to satisfy above a =b=c=1 or one of the is +1 other two must be -1
so
when all +1 d=1
when two of them -1 and other +1then d=5

insuffcient
2)ad = 1
possible only when a=-1 and d=-1 or a=d=1
insuffcient

combine both . all of them must be either +1 or -1

a + b + c + d = 4 is possible only when all of them must be positive.

a=b=c=d=1

suffcieint

C

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Re: PR Test 4:DS Question   [#permalink] 22 Aug 2008, 20:13
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