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Q:

Missing letters puzzle

Answer

Answer:  K


Explanation:  In each row, the product of the left and right hand numbers equals the sum of the numerical values of the three letters.

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Q:

Missing letters puzzle

Answer

Answer: V


Explanation:     Starting at the top left, and moving anti-clockwise around the figure, letters advance through the alphabet 5 letters at a time.

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Q:

Missing letters puzzle

Answer

Answer:  T


Explanation:   In each row, add together the numerical values of the pairs of letters to the left and right, then calculate their difference, putting the letter with this numerical value in the centre space.

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Q:

Missing letters puzzle

Answer

Answer:  4


Explanation:   Splitting the diagram in half horizontally and vertically, each quarter contains the alphabet written in sequence, with the relative position of this sequence rotating 1/4 turn anti-clockwise as you move clockwise around the quarters.

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Q:

Missing letters puzzle

Answer

Answer:  U


Explanation:  Start with the D on the outer left of the diagram, and move clockwise around the outer segments, then start on the N anti-clockwise around the inner segments. Letters advance through the alphabet in steps of 3, then 4, 5, and 6, repeating this sequence.

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Q:

Missing letters puzzle

Answer

Answer :  Y


Explanation:    Start on the left hand of the diagram, and move clockwise. Letters are written in alphabetical order, in steps of 10 letters at a time.

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Q:

Missing letters puzzle

Answer

Answer: U


Explanation:   Starting on the left, and moving along the line to the right, letters follow the alphabetic sequence, in steps of 1,2,3 and then 4, before repeating the sequence.


 

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Q:

Logical puzzle

At a restaurant, how could you choose one out of three desserts with equal probability with the help of a coin? What if the coin is biased and the bias is unknown?

Answer

Our solution:


Toss the coin twice.
Let TH, HT and TT correspond to the three choices.
And if you get HH, just repeat (so it takes 8/3 tosses on average).


BIASED COIN

If the coin was biased, TH and HT would occur with equal probability.
So you could assign THHT, HTTH and THTH to the three choices, with other 4-toss outcomes rejected.
Or you could assign HTT, THT and TTH to the three choices, with other 3-toss outcomes rejected.

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Subject: Logic Puzzles