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25 Apr 2013, 05:31
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Difficulty:
35%
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Question Stats:
67% (01:26) correct
33%
(01:42)
wrong
based on 922
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What is the value of abcd+a+b+c+d ?
(1) a^2 + b^2 + c^2 + d = 249
(2) d>= 249
(1) a^2 + b^2 + c^2 + d = 249
(2) d>= 249
25 Apr 2013, 05:37
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What is the value of abcd+a+b+c+d ?
(1) a^2 + b^2 + c^2 + d = 249
Clearly not sufficient, the combinations are endless
(2) d>= 249
Clearly no sufficient, no info about other terms
1+2) Now \(a^2 + b^2 + c^2 + d = 249\) and \(d\geq{249}\) remeber that a squared number cannot have a negative value, and its least value is 0.
With this the only combination that respect 1 and 2 is \(0+0+0+249=249\), if you (for example) say that d=250 than \(a^2 + b^2 + c^2\) must be nagative => impossible (at least it equals 0). so \(d=249\) \(a,b,c=0\) Sufficient
C
(1) a^2 + b^2 + c^2 + d = 249
Clearly not sufficient, the combinations are endless
(2) d>= 249
Clearly no sufficient, no info about other terms
1+2) Now \(a^2 + b^2 + c^2 + d = 249\) and \(d\geq{249}\) remeber that a squared number cannot have a negative value, and its least value is 0.
With this the only combination that respect 1 and 2 is \(0+0+0+249=249\), if you (for example) say that d=250 than \(a^2 + b^2 + c^2\) must be nagative => impossible (at least it equals 0). so \(d=249\) \(a,b,c=0\) Sufficient
C
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