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.
知识点:
3个连续的正整数的乘积一定是3的倍数,因为每3个连续的正整数中必有一个是3的倍数
3个连续的正整数的乘积更一定是6的倍数,因为每3个连续的正整数中必有一个是3的倍数,也必有至少一个是偶数,偶数能被2整除,所以2*3=6
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