In the figure above, AB is the diameter of the circle, and AC = BC. What is the area of the shaded region? (A) 4π – 2 (B) 2π – 1 (C) π (D) π – 1 (E) π – 2 Answer and explanation after the jump… As is usually the case with shaded region problems, the easiest way (and in this (more…)
For real numbers a, b, and c, ab = 1.5, bc = 6, and ac = 25. So abc =(A) 9 (B) 12 (C) 15 (D) 100 (E) 225 Answer and explanation below the fold… If I told you it was my birthday and I wanted a cake, and you liked me enough to provide (more…)
For all positive integers p and q, let the function p♮q be defined as p♮q = 2p-q. If g♮12 = g, then g = (A) 2 (B) 4 (C) 8 (D) 16 (E) 76 Answer below. The cardinal rule of function questions is this: FOLLOW THE DIRECTIONS EXACTLY. If p♮q = 2p-q, then g♮12 = 2g-12. We know (more…)
1, 7, 49, 343, … Each term in the sequence above after the first one is determined by multiplying the previous term by 7. What will be the units (ones) digit of the 96th term? (A) 9 (B) 7 (C) 5 (D) 3 (E) 1 Answer and explanation below: Usually, when the SAT asks (more…)
