Statement (2) is shorter, so begin there. If
2x < 150, then x < 75. So, x could be
73 or 71. Statement 2 is insufficient. Eliminate Choices
(B) and (D).
Statement (1) tells you that x – 6 is
prime. Subtract 6 from each of the three possible values of x.
71 – 6 = 65, but 65 is not prime.
73 – 6 = 67, which is prime.
79 – 6 = 73, which is prime.
You have two possible values for x, so Statement
(1) is insufficient. Eliminate Choice (A).