What is the next highest prime number after 67 ?A). 68B). 69C). 71D). 73E). 76

To find the next highest prime number after 67, we first need to understand the definition of a prime number. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.

Let's check the numbers after 67:

68: This is an even number, and all even numbers greater than 2 are divisible by 2. Therefore, 68 is not a prime number.
69: The sum of the digits of 69 is 6 + 9 = 15, which is divisible by 3. Since 69 is divisible by 3, it is not a prime number.
70: 70 is an even number and divisible by 2. Therefore, 70 is not a prime number.
71: 71 is an odd number. To check if it's prime, we need to check if it's divisible by any prime number less than its square root. The square root of 71 is approximately 8.4. The prime numbers less than 8.4 are 2, 3, 5, and 7. 71 is not divisible by any of these numbers, so 71 is a prime number.
Thus, the next highest prime number after 67 is 71.

The correct answer is C). 71.