RCAT Logical Reasoning 2 — Questions and Answers
Question 1: In a code, A=1, B=2, C=3... If 'CAB' = 312, what does 'FACE' equal?
- 6135 (Correct answer)
- 6013
- 6315
- 1356
Correct answer: 6135
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?
- Uncle (Correct answer)
- Father
- Brother
- Grandfather
Correct answer: Uncle
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?
- If you did not pass, you did not study (Correct answer)
- If you pass, you studied
- If you did not study, you did not pass
- If you did not study, you will pass
Correct answer: If you did not pass, you did not study
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?
- Beth or Carl (Correct answer)
- Dana
- Eve
- Beth only
Correct answer: Beth or Carl
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.
- Argument B only (Correct answer)
- Argument A only
- Both A and B
- Neither
Correct answer: Argument B only
Argument B is valid (modus ponens); Argument A commits the fallacy of affirming the consequent.
Question 6: Six tasks must be completed in sequence. Task 3 cannot start until Tasks 1 and 2 are done. Task 5 cannot start until Task 3 is done. What is the minimum number of tasks that must precede Task 5?
- 3 (Correct answer)
- 2
- 4
- 5
Correct answer: 3
Tasks 1 and 2 must precede Task 3, and Task 3 must precede Task 5 — so Tasks 1, 2, and 3 must precede Task 5 (3 tasks).
RCAT Logical Reasoning 2
In a code, A=1, B=2, C=3...
If 'CAB' = 312, what does 'FACE' equal?