Bunuel
Is j prime?
(1) j + 1 is not prime
(2) j is odd.
Target question: Is j prime? Statement 1: j + 1 is not prime There are several values of j that satisfy statement 1. Here are two:
Case a: j = 3, in which case j+1 = 4 and 4 is not prime. In this case
j IS primeCase b: j = 9, in which case j+1 = 10 and 10 is not prime. In this case
j is NOT primeSince we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: j is odd There are several values of j that satisfy statement 1. Here are two:
Case a: j = 3 (and 3 is odd). In this case
j IS primeCase b: j = 9 (and 9 is odd). In this case
j is NOT primeSince we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statements 1 and 2 combined There are several values of j that satisfy BOTH statements. Here are two:
Case a: j = 3, in which case j is odd AND j+1 is not prime. In this case
j IS primeCase b: j = 9, in which case j is odd AND j+1 is not prime. In this case
j is NOT primeSince we cannot answer the
target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent