If n is a positive integer and r is the remainder when (n – 1)(n + 1) is divided by 24, what is the value of r? (1)2 is not a factor of n. (2)3 is not a factor of n.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient.
Last year the price per share of Stock X increased by k percent and the earnings per share of Stock X increased by m percent, where k is greater than m.By what percent did the ratio of price per share to earnings per share increase, in terms of k and m? A.K/M% B.(k – m) % C.[100(k – m)] / (100 + k) % D.[100(k – m)] / (100 + m) % E.[100(k – m)] / (100 + k + m) %
(1)2 is not a factor of n,得出n是奇数且>=3, 所以(n – 1)(n + 1)是8的倍数 (2)3 is not a factor of n.,得出(n – 1)和(n + 1)至少有一个是3的倍数,因为连续的3个数中一定有一个是3的倍数,所以(n – 1)(n + 1)是3的倍数