There is a three-digit number that is divisible by 5 if it is added to 1, divisible by 2 if it is added to 3, and divisible by 3 if it is added to 5. How many such three-digit numbers are there?
有一个三位数，如果它加上1能被5整除，如果它加上3就能被2整除，如果它加上5就能被3整除．这样的三位数有多少个？
<gadget id="calculator">29 + 1</gadget>
<output>30</output>

<result>30</result>