RCAT Logical Reasoning 2

Question 1

In a code, A=1, B=2, C=3... If 'CAB' = 312, what does 'FACE' equal?

Accepted Answer

6135

Answer

F=6, A=1, C=3, E=5, so FACE = 6135.

Question 2

P is Q's brother. Q is R's sister. R is S's father. How is P related to S?

Accepted Answer

Uncle

Answer

P and Q are siblings; Q and R are siblings, so P and R are siblings; R is S's father; P is R's brother, making P S's uncle.

Question 3

A statement says: 'If you study, you will pass.' Which is the logically equivalent contrapositive?

Accepted Answer

If you did not pass, you did not study

Answer

The contrapositive of 'If P then Q' is 'If not Q then not P': If you did not pass, you did not study.

Question 4

Five people sit in a row: Adam, Beth, Carl, Dana, Eve. Adam is not at either end. Beth sits next to Carl. Eve is at one end. Dana is not next to Adam. Who could sit next to Adam?

Accepted Answer

Beth or Carl

Answer

Eve is at one end, Adam not at ends, Dana not next to Adam — so Adam's neighbors must be from {Beth, Carl}.

Question 5

Which argument is logically valid? A: All A are B; X is B; therefore X is A. B: All A are B; X is A; therefore X is B.

Accepted Answer

Argument B only

Answer

Argument B is valid (modus ponens); Argument A commits the fallacy of affirming the consequent.

RCAT - Revelian Cognitive Ability Test Practice Test

RCAT - Revelian Cognitive Ability Test Practice Test

RCAT Logical Reasoning 2