Question

When 17 is divided by K ; where k is a positive integer less than 17 the remainder is 3 .What is the remainder when the sum of the beta possible values of Kivided by 17.

Answer 1

Answer:

The remainder is 4.

Step-by-step explanation:

Note: This question is not correctly stated. It is therefore correctly restated before answering the question as follows:

When 17 is divided by k; where k is a positive integer less than 17, the remainder is 3. What is the remainder when the sum of the possible values of k is divided by 17?

The explanation of the answer is now given as follows:

Since k < 17, it implies that the possible values of k must be from between 1 and 16 inclusive.

Between 1 and 16, only 7 or 14 will give a remainder of 3 when either of them is used to divide 17. Therefore, 7 and 14 are the possible values of k.

Therefore, we have:

Sum of the possible values of k = 7 + 14 = 21

Also, we have:

Sum of the possible values of k divided by 17 = 21 / 17 = 1 with a remainder of 4.

Therefore, the remainder is 4 when the sum of the possible values of k is divided by 17.