Laughing Brainbat

What can you deduce from the following BrainBat?

CRY
LMKI




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In a town, there are four houses located at different distances from each other. Following are the distances:

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In an office's desk, you find a unique method that shows the current day of the month. Two numbered cubes are used to depict the current date.

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What 4-letter word can be written forward, backward or upside down, and can still be read from left to right?

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_ _ _ IE _ _
_ _ _ IE _
_ _ IE _ _
_ _ IE _
_ _ _ _ IE

Like you see, some letters have gone missing from these words that contain the IE pair at some or the other place. The letters that will be used to fill the blanks are given below. Use them and form meaningful words. Can you do that?

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There is a box in which distinct numbered balls have been kept. You have to pick two balls randomly from the lot.

If someone is offering you a 2 to 1 odds that the numbers will be relatively prime, for example
If the balls you picked had the numbers 6 and 13, you lose $1.
If the balls you picked had the numbers 5 and 25, you win $2.

Will you accept that bet?

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Crossword puzzles

In the 1920s, people feared that crossword puzzles would contribute to illiteracy.