If n is an integer, is n/15 an integer?

(1) 3n/15 is an integer.

(2) 8n/15 is an integer.

Highlight to see answer: B

Please post your explanations in the comments below!

All trainees in a certain aviator training program must take both a written test and a flight test. If 70 percent of the trainees passed the written test, and 80 percent of the trainees passed the flight test, what percent of the trainees passed both tests?

(1) 10 percent of the trainees did not pass either test.

(2) 20 percent of the trainees passed only the flight test.

Highlight to see answer: D

Please post your explanations in the comments below!

If ☉ denotes a mathematical operation, does

x☉y=y☉x for all x and y?

(1) For all x and y, x☉y = 2(x² + y²).

(2) For all y, 0☉y = 2 y²

Highlight to see answer: A

Please post your explanations in the comments below!

If p,q,r, and s are nonzero numbers, is (p – 1)(q – 2)²(r – 3)³(s – 4)^{4} ≧ 0?

(1) q > 2 and s > 4

(2) p > 1 and r > 3

Highlight to see answers: B

Please post your explanations in the comments below!