September 2014 Logic & Maths Puzzles

1. The inhabitants of a certain island possess unique qualities.
All its politicians always lie; whereas the inhabitants that are not politicians always tell the truth.
When you meet the first inhabitant you ask him if he is a politician and he gives you his answer.
Upon meeting the second inhabitant, he claims that the first inhabitant denied being a politician.
The third inhabitant states that the first inhabitant is, indeed, a politician.
How many politicians have you encountered? (none, 1, 2 or 3)

2. I was born on August 1, 25 B.C. I died on August 1, 25 A.D. How old was I when I died?

3. A country teacher told her students “Class is cancelled today because I’m not feeling well. We will meet again at 10 A.M., three days after two days before the day before tomorrow.” What day should they go back to class?

4. At the party, the host decided to serve food in this pattern… For every 2 guests, he would serve one plate of finger-foods. For every 3 guests, he would serve one plate of potato chips. And for every 4 guests he would serve one plate of dips. At the end of the party, he had used a total of 65 plates. How many guests were at the party?

5. 6 doorsWhich is the door to freedom? There are 6 doors in a line.
Yellow door’s clue: This door is 3 spaces away from the purple door.
Blue door’clue: This door is at the far left.
Red door’s clue: The doors are in a sequence.
Green door’s clue: This door is directly between the blue and yellow doors. It is three spaces away from the door to freedom.
Purple door’s clue: This door is next to the door to freedom.
Orange door’s clue: This door is directly next to the yellow door.
What colour door leads to freedom?

6. There are 5 people standing in a line. Their names are Andy, Bob, Chris, Debbie and Evan in no particular order.
Neither Andy nor Bob is next to Evan.
Neither Bob nor Evan is next to Chris.
Debbie is just to the right of Chris.
Name the people from left to right in the line.

7. James and John are identical twins, both born in Melbourne in the early morning of Sunday April 6th 2014.
James was born half an hour before John, but the official birth certificates, correctly completed, suggest that John is the elder. Why?

8. A 1 km long train passes through a 1 km long tunnel travelling at 60 km/hr. What period of time elapses from when the train first enters the tunnel until the last carriage emerges from the tunnel?

9. If three cats catch three mice in three minutes, how many cats will be required to catch one hundred mice in one hundred minutes?

10. A monk has a very specific ritual for climbing up the steps to the temple. First he climbs up to the middle step and meditates for 1 minute. Then he climbs up 8 steps and faces east until he hears a bird singing. Then he walks down 12 steps and picks up a pebble. He takes one step up and tosses the pebble over his left shoulder. Now, he walks up the remaining steps three at a time which only takes him 9 paces. How many steps are there?

SOLUTIONS

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