GMATprep-rep

1) one of the country sends 41 reps.
Which means that 75-41=34 reps for the rest. Now, there is one more criteria, that A should send the second highest number of reps. we should take two cases to prove 1) is may or may not be true. Pick A=9 reps which leaves 25 reps for 4 countries and they can be easily spread with no overlaps(satisfying on other condition). Now, pick A=10 (as it is mentioned atleast)- when A=10, there are 24 reps left that can also be spread across the rest of the 4 countries. Hence, 1) does not answer the question definitively. Hence, choice A and D are ruled out.

2) Country A sends fewer than 12 which means upto 11 reps. Now again pick A=9 and since, A sends the second highest number of reps, one other country sends >9 say 10 reps which leaves, 56 reps to be spread among rest of the 4 countries. Now, pick A as 10 and another country that sends more than A as 11 which leaves, 54 reps to be spread among the 4 countries.
Since, A can send 10 or 9 reps and still satisfy the conditions, we cannot answer the question with statement 2.
Hence, choice B is ruled out.

Combining 1) and 2) gives- one of the country sends 41. Pick A=9 and A=10 and apply the same process as before which satisfies the conditions for both A=9 and A=10- does not give a definitive answer. Hence C is not sufficient.

So, the answer should be E. What is OA?

Abhijit and Leo , Thanks for explaining it so well.

The OA is E

Really?What good is your clear E doing here. If it is that clear "share your" method. May be that will add some value to the post.

I post questions here to understand why my approach to a problem is incorrect and learn from my mistakes and not to quantify how clear the question is to you.

A+B+C+D+E+F = 75

First consider (1) & (2) together:
from (1) A+B+C+D+E = 75-41 = 34
One possible solution of A satisfying both (1)&(2) statement:
A+17+1+2+3 = 34
A = 11
Another possible solution of A satisfying both (1)&(2) statement:
A+24+1+2+3 = 34
A = 4
So, Not Suff

Ans is E