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raffles

by Claret » Fri Jun 19, 2009 3:59 am
Did one of three member of a certain team sell at least 2 raffle tickets yesterday?
a. The 3 sold a total of 6 raffle tickets
b. No 2 members sold the same number of tickets
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Source: — Data Sufficiency |
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by mikeCoolBoy » Fri Jun 19, 2009 4:18 am
IMO D

A = tickets sold by the first member
B = tickets sold by the second member
C = tickets sold by the third member
A >=0, B >=0, C >=0

1) A + B + C = 6
if you don't want any of the number to be at least 2, all the numbers have to be <= 1

is it possible that A + B + C = 6 and 1>= A >= 0, 1>= B >= 0, 1>= C >= 0? No so statement 1 is sufficient

2) No 2 members sold the same number of tickets
let's start assigning values and try to prove that all can be <= 1

A = 0
for B, we cannot use neither 0 nor >=2 so B has to be 1 B =1
we run out of possibilities for C, so C has to be at least 2 sufficient
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by Claret » Fri Jun 19, 2009 4:28 am
got it .. thanks !!
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