Final answer:
The greatest possible value of n, which is a positive integer divisible by 7 and less than 70, is 63.
Step-by-step explanation:
If n is a positive integer divisible by 7, and if n < 70, the greatest possible value of n would be the largest multiple of 7 that is less than 70. We can list the multiples of 7 that are less than 70: 7, 14, 21, 28, 35, 42, 49, 56, and 63. Since 63 is the largest multiple of 7 that is less than 70, the correct answer is C. 63.The greatest possible value of n, a positive integer divisible by 7 and less than 70, can be found by considering the largest number divisible by 7 that is less than 70. This number is 7 times 9, which equals 63. Therefore, the greatest possible value of n is 63 (option C).