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Which of the following statements are correct?
(A) If a number is divisible by 4, it must be divisible by 8.
(B) If a number is divisible by 3 and 5, then it is divisible by 15 also.
(C) A number which is divisible by 2 and 8 is divisible by 16 also.
(D) The sum of two consecutive odd numbers is always divisible by 4.
(A) is false, since 12 is divisible by 4 but not by 8, and (C) is false, since 8 is divisible by 2 and 8 but not by 16. (B) is true because 3 and 5 have no common factor, so the number is divisible by $$3 \times 5 = 15$$. (D) is true because $$(2n + 1) + (2n + 3) = 4n + 4 = 4(n + 1)$$.
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