Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

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?

Two batsman each on 94 runs. Seven runs needed to win in last 3 balls. Both make 100*. How?

You have $100 with you and you have to buy 100 balls with it. 100 is the exact figure and you can't go below or above the numbers and you have to use the entire $100. If there is no kind of tax applied how many of each of the following balls will you be able to buy:

Green Balls costing $6
Yellow Balls costing $3
Black Balls costing $0.10

Now, how many of each must you buy to fulfil the condition given?

Solve the rebus riddle in the picture below.

Christina, Allison and Lena are 3 daughters of John a well-known Mathematician, When I asked John the age of their daughters. He replied "The current age of her daughters is prime. Also, the difference between their ages is also prime."

How old are the daughters?

John enters a small room. The Door Closes.
When the door opens, John is in a larger room.

Explain?

Count the number of triangles in the given picture.

Count the number of triangles in the below picture?

Move four matchsticks to the below square to form three squares?