13 Math Section ------------------------------------------------------------------------------------------------------------ Q1: ELECTRICITY USAGE IN A CERTAIN HOUSEHOLD ON MAY 1 Appliance Number of Hours in Use Number of Watts of Electricity Used per Hour TV 4 145 Computer 3 155 VCR 2 45 Stereo 2 109 According to the table above, what was the total number of watts of electricity used for the four appliances in the household on May 1? A. 454 B. 860 C. 1,100 D. 1,230 E. 1,353 Answer: ------------------------------------------------------------------------------------------------------------ Q2: What is the ratio of the average (arithmetic mean) height of students in class X to the average height of students in class Y? (1) The average height of the students in class X is 120 centimeters. (2) The average height of the students in class X and class Y combined is 126 centimeters. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: ------------------------------------------------------------------------------------------------------------ Q3: If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many such committees are possible? 14 A. 20 B. 40 C. 50 D. 80 E. 120 Answer: ------------------------------------------------------------------------------------------------------------ Q4: v[2v63 + 2/(8+3v7)] = A. 8 + 3v7 B. 4 + 3v7 C. 8 D. 4 E. v7 Answer: ------------------------------------------------------------------------------------------------------------ Q5: The infinite sequence a1, a2,…, an,… is such that a1 = 2, a2 = -3, a3 = 5, a4 = -1, and an = an-4 for n > 4. What is the sum of the first 97 terms of the sequence? A. 72 B. 74 C. 75 D. 78 E. 80 Answer: ------------------------------------------------------------------------------------------------------------ Q6: The ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8. If there are 72 black cars in the lot, how many red cars are there in the lot? A. 11 B. 15 C. 24 D. 27 E. 32 Answer: ------------------------------------------------------------------------------------------------------------ Q7: What is the value of ¦x + 7¦? (1) ¦x + 3¦= 14 (2) (x + 2)2 = 169 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. 15 C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: ------------------------------------------------------------------------------------------------------------ Q8: 3 3 3 x 3 Note: Figure not drawn to scale. The figure above represents a square garden that is divided into 9 rectangular regions with indicated dimensions in meters. The shaded regions are planted with peas, and the unshaded regions are planted with tomatoes. If the sum of the areas of the regions planted with peas is equal to the sum of the areas of the regions planted with tomatoes, what is the value of x? A. 0.5 B. 1 C. 1.5 D. 2 E. 2.5 Answer: ------------------------------------------------------------------------------------------------------------ Q9: In the xy-plane, the point (-2, -3) is the center of a circle. The point (-2, 1) lies inside the circle and the point (4, -3) lies outside the circle. If the radius r of the circle is an integer, then r = A. 6 B. 5 C. 4 D. 3 E. 2 Answer: