At Rahul's party, there were five times as many females as males. There were three times as many adults as children. Which of the following could NOT be the number of people at the party?  Choose the most appropriate option: A) 384 B) 258 C) 216 D) 120 E) 72
we have to work on the info and understand what that info takes us to...   1) there were five times as many females as males At Rahul's party,..   this means F=5M.. so total number=6M..   2) There were three times as many adults as children..   A=3C...   or total = 4C..   so the total is 4C or 6M..   since C and M have to be positive integers, we can say for sure that Total is a multiple of 4 and 6..   or Total is multiple of LCM of 4,6..   LCM of 4,6= 12..   lets see which number is not multiple of 12..   A. 384...12*32   B. 258... no   C. 216....12*18   D. 120....12*10   E. 72......12*6..   so 258 is our answer..
<result>B</result>
At Rahul's party, there were five times as many females as males. There were three times as many adults as children. Which of the following could NOT be the number of people at the party?