maths question 2

2010-11-14 8:07 pm
有一個3位數碼的每個數碼都是奇數.問有多少個這樣的數可被3整除?

A:29
B:36
C:39
D:40
E:41

回答 (2)

2010-11-14 9:46 pm
✔ 最佳答案
You should know one simple thing to shortlist the possible number of choices.

Every 3-digit number, which is divisible by 3, must have the sum of 3 digits also divisible by 3.

You can use this fact and choose only the odd digits to minimize the number of possibilities and use simple counting to find the answer.
參考: Mathematics Teacher Mr. Ip
2010-11-14 8:20 pm
可被3整除的有:
111,117,135,153,159,171,177,195,
315,333,339,357,351,375,393,399,
513,519,531,537,555,573,579,591,597,
711,717,735,753,759,771,777,795,
915,933,939,951,957,915,993.
So th answer is C.39


收錄日期: 2021-04-13 17:38:22
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20101114000051KK00586

檢視 Wayback Machine 備份