Constantine forms the following hypothesis. Let n be any non-negative number that meets the following condition: when n is divided by 5, the remainder cannot equal 2. For such values of n, the quantity Q = 97 - 6n is a prime number so long as Q > 0. Which of the following values of n would provide a counterexample to this hypothesis? Indicate all such values.

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23 July, 05:02

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Allison · Answer 1

n=5

Explanation:

if n = 5

i. n/5=5/5=1 so it divides completely the remainder is 0

ii. 97 - 6 (5) = 97 - 30 = 67, 67 is a prime number.