58. Which of the following must be true for each set of 4 consecutive positive integers?

l. At least 1 of the 4 integers is prime.

II. At least 2 of the 4 integers have a common prime factor.

III. At least 1 of the 4 integers is a factor of at least 1 of the 3 other integers.

Answer and Explanation

Your Answer is

Correct Answer is G

Explanation

4 consecutive positive integers must contain 2 even numbers, 2 is their common prime factor (commom prime factor), II is correct

4 consecutive integers do not necessarily have a prime number, such as 32, 33, 34, 35, I wrong

"At least one of them is a factor of one of the other three", which is obviously wrong.