I am an odd number. Take away a letter and I become even. What number am I?

What is common among 11, 69, and 88?

Take away the whole and some still remain. What is it?

In which direction should the missing arrow point?

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?

Two men play a dice game involving roll of two standard dice. Man X says that a 12 will be rolled first. Man Y says that two consecutive 7s will be rolled first. The men keep rolling until one of them wins.

What is the probability that X will win ?

One is to three as three is to five and five is to four and four is the magic number.
What is the pattern?

Replace the (?) with the correct mathematical signs to make the expression equal to 59.

18 ? 12 ? 4 ? 5 = 59

There is a basket full of hats. Three are white and two are black. Three men, Tom, Tim, and Jim, each take a hat out of the basket and put it on their heads without seeing the hat they selected or the hats the other men selected. The men arrange themselves so Tom can see Tim and Jim’s hats, Tim can see Jim’s hat, and Jim can’t see anyone’s hat. Tom is asked what color his hat is and he says he doesn’t know. Tim is asked the same question, and he also doesn’t know. Finally, Jim is asked the question, and he does know. What colour is his hat?

Find the value of "?" in the ball picture Riddle below: