How many odd integers are between 10/3 and 62/3 ?

for pea-brain logic people like me, i asked gpt-4 if my logic : "between 10 and 62, there are 52 integers, number of odd integers = 26, so , 26/3 = 8.xx , so there must be 8 odd integers between 10/3 and 62/3" is correct or wrong, it's reply:

No, this logic is not correct. The number of integers between 10 and 62 does not directly relate to the number of odd integers between 10/3 and 62/3. To find the odd integers between 10/3 and 62/3, you should first identify the smallest and largest odd integers in the range:

- The smallest odd integer greater than 10/3 is 5.
- The largest odd integer less than 62/3 is 20.

Now you can find the number of odd integers in the range by counting them or using a formula:

- There are (20 - 5)/2 + 1 = 8 odd integers in the range.

So there are 8 odd integers between 10/3 and 62/3.

10/3 = 3 ⅓

62/3 = 20 ⅔

Thus, we need to determine the number of odd numbers from 5 to 19 inclusive. Tha that number is:

(19 - 5)/2 + 1 = 7 + 1 = 8.

Answer: E