Bunuel
In a group of 18 professional drivers, some have a chauffeur’s license, some have a taxi license, and some have both. How many members of the group have both a chauffeur’s license and a taxi license?
(1) Twice as many members of the group have a taxi license as have a chauffeur’s license.
(2) Eight members of the group have a chauffeur’s license.
Answer is C
This question can be easily be solved using Venn diagrams. Since I have no idea yet how this club works, I am going to try to answer with statements.
Let the total number of drivers with only chauffeur's license be C, with only taxi license be T and with both be B.
also T+B+C=18-------1
using 1) T+B=2(C+B) but we can't find anything using only one equation with 3 variables.
Using 2) C+B=8 again we don't know C.
so now using both.
T+B=2(C+B) -------2
and C+B=8 ---------3
putting this 1, we get T=10
using 2 & 3 T+B = 2(8) = 16-------3
putting this in 1 C=2
putting C=2 in 3 we get B =6.
Again this question can be solved within 1 minute with Venn diagrams