Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ways?

What three numbers, none of which is zero, give the same result whether they’re added or multiplied?

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

In a school, there are four subjects. Seventy percent of students study English, seventy five percent of students study Science, eighty five percent of students study Mathematics and eighty percent of students study Spanish.

Can you calculate the percentage of students that study all four subjects?

A high school has a strange principal. On the first day, he has his students perform an odd opening day ceremony:

There are one thousand lockers and one thousand students in the school. The principal asks the first student to go to every locker and open it. Then he has the second student go to every second locker and close it. The third goes to every third locker and, if it is closed, he opens it, and if it is open, he closes it. The fourth student does this to every fourth locker, and so on. After the process is completed with the thousandth student, how many lockers are open?

How many people must be gathered together in a room, before you can be certain that there is a greater than 50/50 chance that at least two of them have the same birthday?

You have two jars of chocolates labelled as P and Q. If you move one chocolate from P to Q, the number of chocolates on B will become twice the number of chocolates in A. If you move one chocolate from Q to P, the number of chocolates in both the jars will become equal.

Can you find out how many chocolates are there in P and Q respectively?

What is the largest number you can write with just 3 digits?

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

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

Can you find the number?