Quote:
Let’s assume that 328 children are born in 1 year. Among these children, if October has the most number of births only, what is the least possible value of the number of births in October?
A. 27
B. 28
C. 29
D. 30
E. 31
Test choice;
A. If the least possible value of the number of births in October is 27, the maximum value of the number of births in other months can be 26.
--> 26*11=286 children are born in 11 months, except October.
--> The number of children are born in October is 328-286=42.
--> Then, we know that the maximum value of the number of births in 11 months can be more than 26, and the least possible value of the number of births in October is not 27.
A. OUT.B. If the least possible value of the number of births in October is 28, the maximum value of the number of births in other months can be 27.
--> 27*11=297 children are born in 11 months, except October.
--> The number of children are born in October is 328-297=31.
--> Then, we know that the maximum value of the number of births in some months can be more than 27 to make the least possible value of the number of births in October lower than 31, so the least possible value of the number of births in October is not 28.
B. OUT.C. If the least possible value of the number of births in October is 29, the maximum value of the number of births in other months can be 28.
--> 28*11=308 children are born in 11 months, except October.
--> The number of children are born in October is 328-308=20.
Something's wrong here because the no. in October need to be the highest!!--> Then, we have to decrease the number in other months, and the solution below is work.
Jan - Sep ; 27 babies/month ; sum=27*9=243 babies
Nov - Dec ; 28 babies/month ; sum=28*2=56 babies
Oct ; 29 babies/month ; sum=29 babies
Total 243+56+29=328
ANS C.Posted from my mobile device