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Moshe loves solving puzzles at PuzzleFry.com. I am proud PuzzleFry member and like my time invested in solving brain teasers.
  • To determine the optimal strategy for each player, we can use backwards induction. We start with the assumption that each player will play to win, and work backwards to determine the best move for each player given the possible moves of the other players.

    When it is C’s turn, she has a 30% chance of eliminating one of the other players. If C chooses to challenge A, then A will always win the duel and C will be eliminated. If C chooses to challenge B, then B has a 50% chance of missing the shot and being eliminated, and a 50% chance of making the shot and eliminating C. Therefore, C should always challenge B.

    When it is B’s turn, he has a 50% chance of eliminating one of the other players. If C is still in the game, then B should challenge C, since C is the weakest player. If C is already out, then B should challenge A, since A is the strongest player.

    When it is A’s turn, he will always eliminate one of the other players, since he makes every shot. Therefore, A should choose to challenge the player who has the highest chance of winning, which is B.

    Using this strategy, the game will proceed as follows:

    • C challenges B: 30% chance of eliminating B.
    • B challenges A: 50% chance of eliminating A.
    • C challenges B: 30% chance of eliminating B.
    • B challenges C: 50% chance of eliminating C.
    • B challenges A: 50% chance of eliminating A.
    • B wins the game.

    Therefore, following the optimal strategies, B has the highest chance of winning the game, with a 50% chance of winning. A has a 100% chance of winning any duel he participates in, but he will only participate in one duel. C has a 30% chance of winning the first duel, but is unlikely to win subsequent duels.

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  • The common phrase represented by these lines is “When the going gets tough, the tough get going.”

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  • Answer: Brian

    Lets assume that Cody is telling the truth, that means that Adam is lying about Brian and therefor Brian it telling the truth but he said that Cody is lying so our assumption is wrong.
    So Cody is lying and therefore Brian is telling the truth and Adam is lying.

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  • Typically, when painting a landscape with multiple layers of colors, artists will begin with the layer that is farthest away from the viewer and work their way forward. This technique is called “working from the background to the foreground.”

    In this case, since the artist is painting the sky, the layer that is farthest away would be the lightest or palest shade of blue. This represents the sky in the distant horizon. The second layer would be a slightly darker shade of blue, representing the sky closer to the viewer. Finally, the third layer would be the darkest shade of blue, representing the portion of the sky that is closest to the viewer.

    So the first layer of blue paint would be the lightest or palest shade of blue, representing the farthest layer of the sky.

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  • The answer is 70 minutes.
    Explanation: Now it’s 4:50. 50 minutes ago it was 4 o’clock which is 60 minutes past 3 o’clock. and 4*60=240 which in hours is 4 o’clock.

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  • Answer: 81
    Explanation:
    6^1 = 6
    5^2 = 25
    4^3 = 64
    3^4 = 81
    2^5 =32
    1^6 = 1

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  • Let X be Jayant age. So we can write (X+12)*5/6 = (3/4)*X +12 >>  (10/12)*X+10 = (9/12)*X + 12 >> X = 24 so Mohini = (3/4)*x =18

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  • I don’t see a solution here. Lets say for example that I had 80$ and 40 cent.
    Then after spending half of my money I have now 40$ and 20 cents.  So in dollars I have now as much as I had cents when I went is but I don’t have as many cents as I had dollars. and if I spent only dollars without cents there are a lot of solutions.

    I thought that  the only way to solve it is to take in consideration  that I had to change one dollar into cents because I didn’t had enough cents (like something cost xx.50 and I only had 10 cents)
    The only solution I can think of is that i had 151.5$. after spending half I have 75.75$ (so dollar and cents are the same and if we say that I had 150$ and 150 cents then  I have half as many dollars (0.5*150) as I had cents when I went in

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  • When they sell separately the ratio they get is 25/60 or 5/12 = 4.16666… , but when selling together the ration the made is only 2/5 (24/60) = 0.4. That’s why after selling 60 marbles there is a difference of one paise.

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  • Since they only saved 10 minutes means she met him at a distance of 5 minutes driving, and since he got one hour earlier means he walked for 55 minutes.

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