Question

I am thinking of a number less than 60. When my number is divided by 4 it gives remainder 3 . When my number is divided by 5 it gives remainder 4 . When my number is divided by 6 it gives remainder 5
What number am I thinking of?

Answer 1

59

Answer 2

The number you are thinking of is 59.

To see why, we can work backwards from the given remainders:

- If the number gives a remainder of 5 when divided by 6, it must be one less than a multiple of 6. Possible options are: 5, 11, 17, 23, 29, 35, 41, 47, 53, and 59.
- Looking at the remainders when divided by 5, we see that the number must also be one more than a multiple of 5 (since the remainder is 4). The only option from the list above that satisfies this is 59.
- Finally, we can check that 59 gives a remainder of 3 when divided by 4, which confirms that it is the solution.

Answer 3

You are correct! Well done!