Mensa Mensa IQ Deductive Reasoning Puzzles Questions and Answers 4 — Questions and Answers
Question 1: Five boxes are stacked: red is directly above blue, green is directly above red, yellow is at the bottom, and white is directly above yellow. What is the order from bottom to top?
- Yellow, white, blue, red, green (Correct answer)
- Yellow, blue, white, red, green
- Blue, yellow, white, red, green
- Yellow, white, red, blue, green
Correct answer: Yellow, white, blue, red, green
Yellow is at bottom, white is above yellow, blue is below red, red is below green: Yellow→White→Blue→Red→Green.
Question 2: Some musicians are athletes. All athletes are disciplined. Which must be true?
- All musicians are disciplined
- Some musicians are disciplined (Correct answer)
- No musicians are disciplined
- All disciplined people are athletes
Correct answer: Some musicians are disciplined
Since some musicians are athletes and all athletes are disciplined, at least some musicians must be disciplined.
Question 3: If A > B, B > C, and C > D, which relationship is NOT necessarily true?
- A > C
- A > D
- B > D
- D > A (Correct answer)
Correct answer: D > A
D > A contradicts the chain A > B > C > D, so it is necessarily false, not just 'not necessarily true.'
Question 4: A clock shows 3:15. What is the angle between the hour and minute hands?
- 0°
- 7.5° (Correct answer)
- 22.5°
- 45°
Correct answer: 7.5°
At 3:15 the minute hand is at 90° and the hour hand is at 97.5° (3×30 + 15×0.5), giving a difference of 7.5°.
Question 5: Only members can enter the club. Jake entered the club. What must be true?
- Jake is not a member
- Jake is a member (Correct answer)
- All members entered the club
- Jake snuck in
Correct answer: Jake is a member
Since only members can enter and Jake entered, Jake must be a member.
Question 6: Look at the series: J, F, M, A, M, J, ___. What comes next?
- A
- J
- S
- O (Correct answer)
Correct answer: O
The series represents the first letters of the months: January through June, so July (J) comes next — but July is already J; the answer listed as J here is the seventh month.
Question 7: Three switches control three bulbs in a room. You can flip switches then enter the room once. How many bulbs can you identify with certainty?
- 1
- 2
- 3 (Correct answer)
- 0
Correct answer: 3
Turn switch 1 on for a while then off, switch 2 on, leave switch 3 off; the warm-but-off bulb is switch 1, the lit bulb is switch 2, and the cold-off bulb is switch 3.
Five boxes are stacked: red is directly above blue, green is directly above red, yellow is at the bottom, and white is directly above yellow.
What is the order from bottom to top?