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题库 / GMATAdvanced-DS-80
If b is the product of three consecutive positive integers c, c+ 1, and c+2, is b a multiple of 24?
(1)b is a multiple of 8.
(2)c is odd.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
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3个连续的整数必有一个能被3整除，因为已经形成了一个3的循环；2个连续的偶数=4个连续的整数必有一个能被4整除，一个能被2整除，即乘积能被24整除
(2)2个连续的奇数+中间一个偶数必有一个能被3整除，偶数能被2整除，即乘积能被6整除，不一定能被24整除。
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