11 Plus Exams Forum

There are 27 children in a club.
Which one of these statements cannot be
true?
A There are more boys than girls in the
club.
B There are more girls than boys in the
club.
C There are three more boys than girls in
the club.
D There are six more girls than boys in
the club.
E There are nine more boys than girls in
the club.

Answer D. How to find this one, is there any method can I follow. Thanks for your help.

My hint is to look at pairs of integers that add to 27.

D is correct as the difference between the 2 groups will always be an odd number.

A & B - there isn't enough information to say either is false. C & E both have a difference of odd number so either might be true.