Video Explanation

Text Explanation

Let's begin by taking a closer look at the integer 29736. Notice that if we apply some divisibility rules, we can see that this integer is divisible by 9:

At this point, it is important to recall the following rules of divisibility:

Statement 1

Notice that statement 1 tells us that N is divisible by 9. Since we already know that 29736 is divisible by 9, then k itself must also be divisible by 9:

Recall that k must be an integer from 1-9. The only value in this range that is divisible by 9 is 9. Thus, we know k = 9, and statement 1 is sufficient.

Statement 2

Statement 2 tells us that N is divisible by 5. If this is true, then N must end in 5 or 0. This leaves two possibilities for k:

k=9, and N = 23745

Thus, we do not know the exact value of k, and statement 2 is insufficient.