Question

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.

Answer 1

Answer:

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.