Mensa Mensa IQ Deductive Reasoning Puzzles 3 — Questions and Answers
Question 1: Four friends sit in a row. Ann is left of Bob. Carl is right of Bob. Dan is right of Carl. Who is on the far left?
- Ann (Correct answer)
- Bob
- Carl
- Dan
Correct answer: Ann
The order is Ann, Bob, Carl, Dan, so Ann sits on the far left.
Question 2: All squares are rectangles. All rectangles are quadrilaterals. Which is necessarily true?
- All quadrilaterals are squares
- All squares are quadrilaterals (Correct answer)
- Some rectangles are not quadrilaterals
- No squares are quadrilaterals
Correct answer: All squares are quadrilaterals
Squares are inside rectangles, which are inside quadrilaterals, so squares are quadrilaterals.
Question 3: If today is two days after Monday, what day is tomorrow?
- Wednesday
- Thursday (Correct answer)
- Friday
- Saturday
Correct answer: Thursday
Two days after Monday is Wednesday, so tomorrow is Thursday.
Question 4: Some books are heavy. No heavy thing is portable. Which follows?
- All books are portable
- Some books are not portable (Correct answer)
- No books are heavy
- All heavy things are books
Correct answer: Some books are not portable
The heavy books cannot be portable, so some books are not portable.
Question 5: P is older than Q. R is younger than Q. S is older than P. Who is oldest?
- P
- Q
- R
- S (Correct answer)
Correct answer: S
S is older than P, who is older than Q and R, making S the oldest.
Question 6: Either the alarm rang or the door was open. The alarm did not ring. Therefore:
- The door was closed
- The door was open (Correct answer)
- The alarm rang twice
- Nothing follows
Correct answer: The door was open
In an inclusive 'either/or', if one option is false the other must be true, so the door was open.
Question 7: All A are B. No B are C. Is any A a C?
- Yes, all A are C
- Yes, some A are C
- No A is C (Correct answer)
- Cannot be determined
Correct answer: No A is C
Since A is contained in B and B shares nothing with C, no A can be C.
Four friends sit in a row.
Ann is left of Bob.
Carl is right of Bob.
Dan is right of Carl.
Who is on the far left?