If r, s, and t are three integers, are they consecutive integers? (1)

If r, s, and t are three integers, are they consecutive integers?

(1) \(s\) and \(t\) are consecutive prime numbers less than 10.
Insufficient.
only consecutive prime numbers are 2 and 3, so s & t are 2 and 3. But we still don't know anything about \(t\).

(2) \(s > r > t\)
Insufficient.
We can can't still infer that they are consecutive.
for example one possibility \(s=5\), \(r=4\), \(t=3\) (r, s, and t are consecutive integers)& another possibility \(s=500\), \(r=4\), \(t=3\) (r, s, and t are not consecutive integers)

Taking statements 1 & 2 together

\(s=3\), \(r=2\) but we still don't know the value of t. t can be any integer less than 2, so t can be 0, -1, -5 etc

Therefore the correct answer is Option E