CAST Reasoning 3 — Questions and Answers
Question 1: Find the next term: 3, 9, 27, 81, ___.
- 108
- 162
- 243 (Correct answer)
- 324
Correct answer: 243
Each term is multiplied by 3, so 81×3=243.
Question 2: Some valves are red. All red valves leak. What must be true?
- All valves leak
- Some valves leak (Correct answer)
- No valves leak
- Only red items leak
Correct answer: Some valves leak
The red valves leak, so at least some valves leak.
Question 3: Mike finishes before Joe, and Joe finishes before Tom. Who finishes last?
- Mike
- Joe
- Tom (Correct answer)
- Cannot tell
Correct answer: Tom
Order is Mike, Joe, Tom, so Tom is last.
Question 4: A pulley system lets you lift a heavy load with less ___.
- distance
- effort force (Correct answer)
- rope
- time
Correct answer: effort force
Pulleys reduce the effort force needed to lift a load.
Question 5: Which pair completes the analogy: Wrench is to bolt as key is to ___?
- lock (Correct answer)
- door
- chain
- ring
Correct answer: lock
A wrench operates a bolt as a key operates a lock.
Question 6: If switch A or switch B is on, the light works. Both are off. The light is ___.
- on
- off (Correct answer)
- flickering
- dimmed
Correct answer: off
With both switches off, the OR condition fails and the light is off.
Question 7: Complete the series: 1, 4, 9, 16, ___.
- 20
- 24
- 25 (Correct answer)
- 30
Correct answer: 25
These are perfect squares, so the next is 5²=25.
CAST Reasoning 3
Find the next term: 3, 9, 27, 81, ___.