General Logical Reasoning and Puzzles 5 — Questions and Answers
Question 1: A statement reads: 'All glurps are snarks. No snarks are bleebs.' Which must be true?
- All bleebs are glurps
- No glurps are bleebs (Correct answer)
- Some glurps are bleebs
- All snarks are glurps
Correct answer: No glurps are bleebs
All glurps are snarks, and no snarks are bleebs, so by transitivity no glurps can be bleebs.
Question 2: A farmer has 17 sheep. All but 9 die. How many sheep are left?
- 8
- 9 (Correct answer)
- 17
- 0
Correct answer: 9
'All but 9' means 9 survive, regardless of the total starting number.
Question 3: Which number is the odd one out? 4, 9, 16, 25, 32, 36
- 4
- 25
- 32 (Correct answer)
- 36
Correct answer: 32
4, 9, 16, 25, and 36 are all perfect squares; 32 is not (it's 2⁵).
Question 4: You have a 3-gallon jug and a 5-gallon jug. How do you measure exactly 4 gallons using only these two jugs?
- Fill the 5-gallon, pour into 3-gallon, empty 3-gallon, pour remainder into 3-gallon, fill 5-gallon, top off 3-gallon (Correct answer)
- Fill the 3-gallon twice and pour into the 5-gallon
- Fill the 5-gallon and pour out 1 gallon
- Fill the 3-gallon, pour into 5-gallon, repeat
Correct answer: Fill the 5-gallon, pour into 3-gallon, empty 3-gallon, pour remainder into 3-gallon, fill 5-gallon, top off 3-gallon
Fill 5→pour into 3 (leaves 2 in 5)→empty 3→pour 2 into 3→fill 5 again→top off 3 (adds 1): 4 gallons remain in the 5-gallon jug.
Question 5: If the day before yesterday was Thursday, what day is tomorrow?
- Sunday (Correct answer)
- Monday
- Saturday
- Tuesday
Correct answer: Sunday
Day before yesterday = Thursday → yesterday = Friday → today = Saturday → tomorrow = Sunday.
Question 6: A cube is painted red on all faces and then cut into 27 equal smaller cubes. How many small cubes have exactly 2 red faces?
- 8
- 12 (Correct answer)
- 6
- 1
Correct answer: 12
Exactly 2-face cubes sit on edges (not corners): a 3×3×3 cube has 12 edges, each contributing 1 such cube, totaling 12.
Question 7: A logic puzzle states: 'Exactly one of these is true: (A) This statement is false. (B) 2+2=5.' Which is true?
- Statement A is true
- Statement B is true (Correct answer)
- Both are true
- Neither is true
Correct answer: Statement B is true
Statement B (2+2=5) is false; Statement A is a paradox that can't be evaluated as simply true, so in the context of 'exactly one is true,' B being false means A must be the true one — but actually the puzzle resolves by recognizing B is straightforwardly false and A is the odd one, making A the designated true statement.
General Logical Reasoning and Puzzles 5
A statement reads: 'All glurps are snarks.
No snarks are bleebs.' Which must be true?