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determine x, y, z uniquely?

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by sanju09 » Tue Jan 12, 2010 3:14 am
Let x, y and z be positive integers satisfying x < y < z and x + y + z = k. Which of the following is the smallest values of k which does not determine x, y, z uniquely?

(A) 6
(B) 7
(C) 8
(D) 9
(E) 10
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by rohan_vus » Tue Jan 12, 2010 4:01 am
C should be

A) = 1,2,3 only --unique
B) =1,2,4 ---unique
C) = 1,3,4 or 1,2,5 -- Not unique..So here its is..No need to evaluate further choices as we need to get the smallest value of k which doesnt give unique values
Last edited by rohan_vus on Tue Jan 12, 2010 4:24 am, edited 2 times in total.
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by sanju09 » Tue Jan 12, 2010 4:06 am
D should be

A) = 1,2,3 only --unique
B) =1,2,4 ---unique
C) = 1,3,4 or 1,2,5 -- Not unique..So here its is..No need to evaluate further choices as we need to get the smallest cakue of k which doesnt give unique values
another rohan-bomb slipping on keyboard :?
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by rohan_vus » Tue Jan 12, 2010 4:15 am
Edited the typos , its just very early in the morning now so kinda still sleepy ...fingers are kinda crazy and behaving awkward in absence of control mechanism :D
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by sanju09 » Tue Jan 12, 2010 4:19 am
rohan_vus wrote:Edited the typos , its just very early in the morning now so kinda still sleepy ...fingers are kinda crazy and behaving awkward in absence of control mechanism :D
See if you don't need another edit here, as you still maintain D as right answer, there on top. Why don't you take a coffee, fighter? :roll:
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by rohan_vus » Tue Jan 12, 2010 4:27 am
Hmm..good point !..well , coffee is beyonda reach ..things shall fall in place as day progresses ..I might revisit my posts for errata
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