Bunuel
Comparing the academic performances of the students of two schools A and B, an educationist found that the boys in school A consistently scored more than the girls. In school B the girls consistently scored more than the boys. The educationist concluded that the girls in school A did not score as much as the girls in school B.
Any of the following introduced into the above continues to make the conclusion logically correct EXCEPT:
A. The boys in school A and B scored the same.
B. The girls in school A scored less than the boys in school B.
C. The boys in school B scored the same as the girls in school A.
D. The boys in school A scored as much as the girls in school B
E. The boys in school A scored more than the boys in school B.
OFFICIAL EXPLANATION Lets represent the boys in a school A and B as boys A and boys B respectively and the girls in school A and B as girls A and girls B respectively. Let the sign > represent scored more than and the sign < represent scored less than. As given in the passage
Boys A > girls A
Girls B > boys B
The conclusion of the educationist is girls A < girls in B.
The conclusion will hold true if the following equation is satisfied.
Girls B > boys B E boys A > girls A.
Choice (A) boys A = boys B then girls A < girls B
Choice (B) girls A < boys B then girls A < girls 8
Choice (C) boys B = girls A, then girls A < girls B
Choice (D) boys A = girls B then girls A < girls B
Choice (E) boys A > boys B
Only Choice (E) would invalidate the conclusion of the educationist because if the boys in A scored more than the boys in B, then they could have scored as much as. or more than the girls in B. Mis could lead to a situation where the girls in B may not have scored more than the girls in A.
Choice (E) is the correct choice