In this case, to identify the secret number we must take into account the different clues to be able to identify it easily. The secret number is 103845.
How to dentify the secret number?
To identify the secret number we must take into account the following clues:
- It is an integer.
- It is multiple of three, five and seven.
- No digits occur more than once.
- The digit in the tens place is a square number.
- The digit in the hundreds place is a cube.
- The digit in the hundred thousand place is both a square and a cube.
- Only the digit in the hundreds place is larger than he digit in the ones place.
According to these clues we must analyze the choice of our numbers as shown below:
- According to the previous information, the number 1 or 4 can go in the tens place.
- According to the previous information, the number 8 goes in the hundreds place.
- According to the previous information, the number 5 goes in the place of the units.
Then we will have found 4 digits of a 6 digit number.
To find the missing numbers we must take into account the following clue:
- The missing number is a factor of 3 and must not be greater than 5.
So we can conclude that numbers divisible by 3 must add up to a number that is divisible by 3. From the above, the last unfilled digits are 0 and 3.
Finally, it can be inferred that the secret number is 103845 because it meets all the clue requirements.
Learn more about numbers in: https://brainly.com/question/17429689
