Solution:

Brooms are kept inside the fridge.

Solution:

Place 1 white marble in one bowl, and place the rest of the marbles in the other bowl (49 whites, and 50 blacks).

This way you begin with a 50/50 chance of choosing the bowl with just one white marble, therefore life! BUT even if you choose the other bowl, you still have ALMOST a 50/50 chance at picking one of the 49 white marbles.

Solution:

mistaken

Solution:

1/3

This is a famous question in understanding conditional probability, which simply means that given some information you might be able to get a better estimate.

The following are possible combinations of two children that form a sample space in any earthly family:

Boy - Girl
Girl - Boy
Boy - Boy
Girl - Girl

Since we know one of the children is a boy, we will drop the girl-girl possibility from the sample space.
This leaves only three possibilities, one of which is two boys. Hence the probability is 1/3

Solution:

A is a female.

Statement used by A is true only if both parts are true.

Solution:

A man, who crawls on all fours as a baby, walks on two legs as an adult, and walks with a cane in old age.

Of course morning, noon, and night are metaphors for the times in a man's (person's) life. Such metaphors are common in riddles. There were two Thebes, apparently this Thebes was the one in Greece. And this Sphinx was apparently not the one at Giza, in Egypt.

Solution:

2519

The number has to end in 9.
Looked brute force for small numbers.
59 and 119 were promising, but no cigar.

Then looked for agreement among
39 + multiples of 40,
69 + multiples of 70 and
89 + multiples of 90
Smallest one was 2519.

Solution:

143547

Solution:

The spirit lies behind Door 4.


If the spirit is behind Door 1, then both 2 and 3 are true.

If the spirit is behind Door 2, then both 1 and 4 are true.

If the spirit is behind Door 3, then 1, 3, and 4 are all true.

If the spirit is behind Door 4, then the statements on all the doors are false, except for that on Door 2. This matches the rules, and therefore, the resort hotel spirit lurks behind Door 4.

Solution:

three positive numbers are 1 2 & 3

1 x 2 x 3 = 6
1 + 2 + 3 = 6