Recently, we (my officemates) got infected by a very deadly virus - "Puzzles". Some of those are as follows:
A) I offer to play a card game with you using a normal deck of 52 cards. the rules of the game are that we will turn over two cards at a time. If the cards are both black, they go into my pile. If they are both red, they go into your pile. If there is one red and one black, they go into the discard pile.
we repeat the two card flipping until we've gone through all 52 cards. Whoever has more cards in their pile at the end wins. I win if there is a tie. if you win, I pay you a dollar. how much would you pay to play this game?
B) The farmer is taking his fox, duck and corn to market. He is currently stuck on the left bank of a major river. The good news is that he has a boat available. The bad news is that the boat will only hold him and one other item for each crossing.
He dare not leave the duck alone with the corn (corn would get eaten) or the duck alone with the fox (duck would get eaten). Also the farmer knows from prior experience that he cannot leave the corn alone on the right bank of the river since a large flock of crows is waiting to devour it.
Can you help the farmer get everything across the river safely?
C) How do we measure forty-five minutes using two identical wires, each of which takes an hour to burn, however the wires burn non-uniformly (sometimes faster, sometimes slower). We have plenty of matchsticks.
D) A blind man was handed a deck of 52 cards with exactly 10 cards facing up. How can he divide it into two piles, each of which having the same number of cards facing up?
E) A duck swims in a perfectly circular pond. There is a fox at the shore, afraid of water, that plans to catch the duck when getting out. The land speed of the fox is four times as high as the water speed of the duck, however, once the duck reaches the shore without the fox in its immediate neighborhood, it can hide and escape. Can the duck reach the shore safely?
2 comments:
How do we measure forty-five minutes using two identical wires?
Ans: I will try my brain level best here. Use a wire first as a simple pendulum. Burn wire second and count the pendulum rounds as like clock. After complete buring of wire one there will be X count of pendulum trips. Suppose in one hour pendulum has 60 trips. Again start pendulum and stop it when it completes 45 round trips. the time is 45 minutes...
Good Try. Fresh thinking. :) But, the real solution is (as per top notch hunks :) -
Light three out of four ends. When two ends meet, light the fourth.
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