Which of the following must be true =>
A) The Average of N Consecutive integers is an integer for N being Even
B) The Average of N Consecutive integers is an integer for N being Odd
C) The product N(N+1)(N+2) for integer N must be divisible by both 3 and 6
D) 2N+1 is always Odd irrespective of N.	Answers: A) B,C,D B) A,C,D C) B,C D) Only D E) All of them
A) The Average of N Consecutive integers is an integer for N being Even. False. For consecutive integers when number of integers is even, average= middle two terms/2= O+E/2 (can not be an integer)   B) The Average of N Consecutive integers is an integer for N being Odd. The middle term will be the average, and this term is odd integer.   C) The product N(N+1)(N+2) for integer N must be divisible by both 3 and 6. Either the product will be 0 or will have multiple of both 2 and 3 and 6. True.   D) 2N+1 is always Odd irrespective of N. What if =1/2, then 2N+1= 2   only B and C are true.   ANSWER:B,C
<result>C</result>
Which of the following must be true =>
A) The Average of N Consecutive integers is an integer for N being Even
B) The Average of N Consecutive integers is an integer for N being Odd
C) The product N(N+1)(N+2) for integer N must be divisible by both 3 and 6
D) 2N+1 is always Odd irrespective of N.