Is ans D???

Nycgrl wrote:Is ans D???

YES! Answer is D

Way to go!

I used back solving method.

it says that incomplete team consist of 64% of members of any team
let number of peopel on complete team be X

start with C= 25

64/100*X=25 X= 6.2..there can't be 6.2 people on team


check D=16

64/100*X=16

X=25


If you try any other number you will not get X= integer except 16.


There could be another method to solve this question....

Nycgrl wrote:There could be another method to solve this question....

Yes - there is! The other method I propose is to think of "the remainders" of imperfect divisions.

Your method works, NYCgrl. I hope it was clearly expressed. It took me an hour to craft the wording of it. I hope it didn't take longer than 2 min to solve either.

Really, this question could be solved in less than 20 sec.

I'll write a full explanation soon..

Here's the official solution:

m = total population
n = number of people in a complete team
t = number of complete teams, a whole number

m = nt + 0.64n
m = n*(t + 64/100)

Since t is a whole number, 64/100 represents the remainder as a percentage of a complete team.

(64/100) = (32/50) = (16/25)

Since question states that teams must contain less than 50 members, the remaining people who are put into the final, incomplete team, equals 16.

I hope it's clear... Let me know!