Crossover Aptitude Test Logical Reasoning 3 — Questions and Answers
Question 1: Five people sit in a row. Alex is to the left of Beth. Beth is to the left of Carl. Dana is to the right of Carl. Who is second from the left?
- Alex
- Beth (Correct answer)
- Carl
- Dana
Correct answer: Beth
The order from left to right is Alex, Beth, Carl, Dana, placing Beth second.
Question 2: Which number best completes the series: 2, 5, 10, 17, 26, ___?
- 33
- 35
- 37 (Correct answer)
- 39
Correct answer: 37
The differences are 3, 5, 7, 9, 11 — increasing odd numbers — so 26+11=37.
Question 3: Statement: 'If it rains, the ground gets wet.' The ground is not wet. What can you conclude?
- It rained
- It did not rain (Correct answer)
- It may have rained
- The statement is false
Correct answer: It did not rain
By modus tollens: if P→Q and ¬Q, then ¬P — since the ground is not wet, it did not rain.
Question 4: A box contains 3 red, 5 blue, and 2 green marbles. Without looking, what is the minimum number of draws needed to guarantee a blue marble?
- 3
- 5
- 6 (Correct answer)
- 8
Correct answer: 6
In the worst case you draw all 3 red and 2 green first (5 non-blue), so the 6th draw must be blue.
Question 5: All mammals are warm-blooded. Whales are mammals. Which is the correct conclusion?
- Some warm-blooded animals are not whales
- Whales are warm-blooded (Correct answer)
- All warm-blooded animals are whales
- No warm-blooded animals are whales
Correct answer: Whales are warm-blooded
Since all mammals are warm-blooded and whales are mammals, whales must be warm-blooded.
Question 6: A code uses the rule: each letter shifts 3 places forward. What does 'DRY' decode to?
- AOU
- GOB
- AWV (Correct answer)
- AOV
Correct answer: AWV
D−3=A, R−3=O (wait, R is 18, 18−3=15=O... actually shifting back: D→A, R→O, Y→V), giving AOV.
Question 7: Which figure completes the pattern: Circle, Triangle, Square, Circle, Triangle, ___?
- Circle
- Triangle
- Square (Correct answer)
- Pentagon
Correct answer: Square
The sequence repeats every three shapes: Circle, Triangle, Square — the next is Square.
Crossover Aptitude Test Logical Reasoning 3
Five people sit in a row.
Alex is to the left of Beth.
Beth is to the left of Carl.
Dana is to the right of Carl.
Who is second from the left?