16+ ENTRANCE EXAMINATION
CRITICAL REASONING EMANUEL &
DULWICH COLLEGE MATHEMATICS
QUESTIONS PAPERS REVIEWED AND
REVISED 2025-2026 NEW GENERATION
Critical reasoning: Specimen questions
1 Amy has to visit towns B and C in any order. The roads connecting these
towns with her home are shown on the diagram. How many different routes
can she take starting from A and returning to A, going through both B and C
(but not more than once through each) and not travelling any road twice on
the same trip?
A B
C
A 10
B 8
C 6
D 4
E 2
2 All German philosophers, except for Marx, are idealists.
The statement above logically follows from which of the following
statements?
A Except for Marx, if someone is an idealist philosopher, then he
or she is German.
B Marx is the only non-German philosopher who is an idealist.
C If a German is an idealist, then he or she is a philosopher, as
long as he or she is not Marx.
, D Marx is not an idealist German philosopher.
E Aside from the philosopher Marx, if someone is a German
philosopher, then he or she is an idealist.
CRITICAL REASONING EMANUEL &
DULWICH COLLEGE MATHEMATICS
QUESTIONS PAPERS REVIEWED AND
REVISED 2025-2026 NEW GENERATION
Critical reasoning: Specimen questions
1 Amy has to visit towns B and C in any order. The roads connecting these
towns with her home are shown on the diagram. How many different routes
can she take starting from A and returning to A, going through both B and C
(but not more than once through each) and not travelling any road twice on
the same trip?
A B
C
A 10
B 8
C 6
D 4
E 2
2 All German philosophers, except for Marx, are idealists.
The statement above logically follows from which of the following
statements?
A Except for Marx, if someone is an idealist philosopher, then he
or she is German.
B Marx is the only non-German philosopher who is an idealist.
C If a German is an idealist, then he or she is a philosopher, as
long as he or she is not Marx.
, D Marx is not an idealist German philosopher.
E Aside from the philosopher Marx, if someone is a German
philosopher, then he or she is an idealist.