Will the average of six consecutive integers be an integer?

(The average of five consecutive (numbers)integer starting from m) - (the average of six consecutive integers starting from m) =

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If the average of n consecutive integers equal to 1? (1) n is even. (2) If S is the sum of the n consecutive integers, then 0ltSltn

By how much is the greatest of five consecutive even integers greater than the smallest among them ?

If the mean of 5 consecutive odd integers is 13, find the sum of the largest and the smallest integers.

The digits of a positive integer n are four consecutive integers in decreasing order when read from left to right. What is the sum of the possible remainders when n is divided by 37 ?

If the sum of the last 3 integers in a set of 7 consecutive integers is 258, what is the sum of the first 4 integers?

If the sum of the last 3 integers in a set of 6 consecutive integers is 624, what is the sum of the first 3 integers of the set?

Write five consecutive even integers suceeding -21 .

Write four consecutive odd integers preceding 3.