Question

Mr Barkley has a box of books. He says the number of books in the box is divisible by 2,3,4,5 and 6. How many books could be in the box? Add another factor so there is only one possible solution.

Answer 1

The number of books in the box is 60.

Explanation:

Since it is given that the number of books in the box is divisible by 2,3,4,5 and 6.

So, the number of books in the box is multiple of these numbers.

Thus we have to find Least Common Multiple (L.C.M.) of these number

L.C.M. of (2,3,4,5,6) = 60

Thus the number of books in the box is multiples of 60 i.e. 60, 120, 180, 240,... etc.

The other factor that can we add in statement so there is only one possible solution is: "The number of books in the box is smallest number divisible by 2,3,4,5 and 6".

Answer 2

The number is 60

Explanation:

So the first way to solve this would be to multiply the greatest numbers in the sequence, you have 5 and 6, the result is 30, since 30 is not divisible by 4 you need to find the next number that is divisible by 5 and 6, that would be 60, since 60 is divisible by 4, then that is the answer, 60 is the first number that is divisible by 2, 3, 4, 5, and 6.