You are given a cube that is made with the help of 10x10x10 smaller cubes summing up to a total of 1000 smaller cubes. You are asked to take off one layer of the cubes.
How many remain now?

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

I throw two dice simultaneously.

What is the probability of getting a sum as 9 of the two numbers shown?

Arrange the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 above and below the division line in a manner that the thus formed fractions equal to 1/3.

(You can use one number only once)

What is the value of 1/2 of 2/3 of 3/4 of 4/5 of 5/6 of 6/7 of 7/8 of 8/9 of 9/10 of 1000?

How many pluses should we put between the digits of 987654321 to get a total of 99, and where?

Find three numbers such that When we multiply three numbers, we will get the prime numbers. The difference between the second and the first number is equal to the third and second.

I want to fill my bucket using both cold and hot water.
I have two taps for both cold and hot water. The hot water tap fills the bucket in exact 6 hours and the cold water tap fills the bucket in exact 4 hours.
I turn both of them simultaneously but I forgot to turn off another tap which removes the water out of the bucket. This tap can empty the bucket in 12 hours.

How Long will it take to fill the bucket?

Get total of 120 by using five zeros 0,0,0,0,0 and any one mathematical operator.
Do you ?

Look at this sequence from top to bottom. What is the next number in the sequence?
1
11
21
1211
111221
312211