#### Quant Topic 2 - Problem Solving

1. Last month 15 homes were sold in Town X. The average (arithmetic mean) sale price of the homes was \$ 150,000 and the median sale price was \$130,000. Which of the following statement must be true?

I. at least one of the homes was sold for more than \$165,000
II. at least one of the homes was sold for more than \$130,000 and less than \$150,000
III. at least one of the homes was sold for less than \$130,000

A. I only
B. II only
C. III only
D. I & II only
E. I & III only
2. If x is positive which of the following could be correct ordering of 1/x, 2x, x2?

I. x2< 2x < 1/x
II. x2< 1/x < 2x
III. 2x < x2< 1/x

A. None
B. I only
C. III only
D. I & II only
E. I, II & III
3. In FIGURE 1, triangle PQR has a correct angle at Q and a perimeter of 60. Line segment QS is perpendicular to PR and has a length of 12. PQ > QR. What is the ratio of the area of triangle PQS to the area of triangle RQS? A. 3/2
B. 7/4
C. 15/8
D. 16/9
E. 2
4. The height of isosceles trapezoid ABDC is 12 units. The length of diagonal AD is 15 units. What is the area of trapezoid ABDC in FIGURE 2? A. 72
B. 90
C. 96
D. 108
E. 180
Back to Top