Mensa Mensa IQ Deductive Reasoning Puzzles Questions and Answers 3 — Questions and Answers
Question 1: All glurps are snorfs. No snorfs are blimps. Therefore, which conclusion must be true?
- All blimps are glurps
- No glurps are blimps (Correct answer)
- Some snorfs are blimps
- All snorfs are glurps
Correct answer: No glurps are blimps
Since all glurps are snorfs and no snorfs are blimps, it follows that no glurps can be blimps.
Question 2: Four friends — Ana, Ben, Cal, and Dee — each own a different pet: cat, dog, fish, or bird. Ana doesn't own a dog or fish. Ben owns the bird. Cal doesn't own a cat. Who owns the fish?
- Ana
- Ben
- Cal (Correct answer)
- Dee
Correct answer: Cal
Ben has the bird; Ana can only have a cat; Cal can't have a cat so Cal has the fish; Dee gets the dog.
Question 3: If the statement 'All poets are dreamers' is true, which of the following must also be true?
- All dreamers are poets
- No poets are dreamers
- If someone is not a dreamer, they are not a poet (Correct answer)
- Some dreamers are not poets
Correct answer: If someone is not a dreamer, they are not a poet
The contrapositive of 'All poets are dreamers' is 'If not a dreamer, then not a poet,' which is logically equivalent.
Question 4: A sequence follows a rule: 2, 6, 18, 54, ___. What is the missing number?
- 108
- 162 (Correct answer)
- 216
- 72
Correct answer: 162
Each term is multiplied by 3: 2×3=6, 6×3=18, 18×3=54, 54×3=162.
Question 5: Tom is taller than Sue. Sue is taller than Ray. Ray is taller than Kim. Which statement is definitely true?
- Kim is the shortest
- Sue is the tallest
- Ray is shorter than Tom (Correct answer)
- Tom is exactly twice as tall as Kim
Correct answer: Ray is shorter than Tom
Tom > Sue > Ray, so Ray must be shorter than Tom by the transitive property.
Question 6: In a code, FISH = 6-9-19-8. What does DOG equal?
- 4-15-7 (Correct answer)
- 3-14-6
- 5-16-8
- 4-14-7
Correct answer: 4-15-7
Each letter is encoded as its position in the alphabet: D=4, O=15, G=7.
Question 7: Every time it rains, the ground gets wet. The ground is not wet. What can we conclude?
- It is raining
- It did not rain (Correct answer)
- The ground dries quickly
- It might be raining
Correct answer: It did not rain
By modus tollens: if rain → wet ground, and ground is not wet, then it did not rain.
Mensa Mensa IQ Deductive Reasoning Puzzles Questions and Answers 3
All glurps are snorfs.
No snorfs are blimps.
Therefore, which conclusion must be true?