MATH12.docx

1、MATH12Math Section-Q1:The population of City X is 50 percent of the population of City Y. The population of City X is what percent of the total population of City X and City Y?A. 25%B. (33 1/3)%C. 40%D. 50%E. (66 2/3)%Answer: -Q2:What is the greatest prime factor of 2100 - 296?A. 2B. 3 C. 5D. 7E. 11

2、Answer: -Q3:How many liters of apple juice were added to the cranberry juice in a certain container? (1) The amount of apple juice that was added was 3/2 the amount of cranberry juice in the container.(2) There were 5 liters of cranberry juice in the container. A. Statement (1) ALONE is sufficient,

3、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.

4、 Answer: -Q4:In a demographic study, the population and total income of a certain region were estimated from other data, and both estimates had lower and upper limits. At the time of the estimates, was the per capita income for the region greater than $16,500? (1) The lower limit for the estimate of

5、 the population was 330,000 people.(2) The lower limit for the estimate of the total income was $5,500,000,000. 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

6、are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: -Q5:Is x 1? (1) x + 1 = 2x - 1(2) x - 3 0 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) AL

7、ONE 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: -Q6:A box contains 10 light bulbs, fewer than half o

8、f which are defective. Two bulbs are to be drawn simultaneously from the box. If n of the bulbs in box are defective, what is the value of n?(1) The probability that the two bulbs to be drawn will be defective is 1/15.(2) The probability that one of the bulbs to be drawn will be defective and the ot

9、her will not be defective is 7/15. 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 A

10、LONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: -Q7:There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?A. 120B. 720C. 1,060D. 1,520E. 1,980Answer: -Q8: B A CIn th

11、e figure shown, the triangle is inscribed in the semicircle. If the length of line segment AB is 8 and the length of line segment BC is 6, what is the length of arc ABC?A. 15B. 12C. 10D. 7E. 5Answer: -Q9:If 5x = 2y and xy 0, then is what percent of y?A. 2%B. 4%C. 10%D. 40%E. 50%Answer: -Q10:In the f

12、igure shown, two identical squares are inscribed in the rectangle. If the perimeter of the rectangle is 182, then what is the perimeter of each square?A. 82B. 12C. 122D. 16E. 18Answer: -Q11:The product of the units digit, the tens digit, and the hundreds digit of the positive integer m is 96. What i

13、s the units digit of m?(1) m is odd.(2) The hundreds digit of m is 8. 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 ALON

14、E is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: -Q12:Division R of Company Q has 1,000 employees. What is the average (arithmetic mean) annual salary of the employees at Company Q?(1) The average annual salary of the employees in D

15、ivision R is $30,000.(2) The average annual salary of the employees at Company Q who are not in Division R is $35,000. 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 TO

16、GETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: -Q13:The sequence a1, a2, , a n, is such that an = 2an-1 - x for all positive integers n 2 and for certain number x. If a5 = 99 and a3

17、 = 27, what is the value of x?A. 3B. 9C. 18D. 36E. 45Answer: -Q14:Box W and Box V each contain several blue sticks and red sticks, and all of the red sticks have the same length. The length of each red stick is 18 inches less than the average length of the sticks in Box W and 6 inches greater than t

18、he average length of the sticks in Box V. What is the average (arithmetic mean) length, in inches, of the sticks in Box W minus the average length, in inches, of the sticks in Box V?A. 3B. 6C. 12D. 18E. 24Answer: -Q15:If x 0, then (x + 1/x)2 - (x - 1/x)2 =A. 1/xB. xC. 1D. 2E. 4Answer: -Q16:If m, p,

19、and t are positive integers and m p t, is the product mpt an even integer?(1) t p = p - m(2) t m = 16 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 suffic

20、ient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: -Q17:If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times, what is the probability that i

21、t will land heads up on the first 3 flips and not on the last 2 flips?A. 3/5B. 1/2C. 1/5D. 1/8E. 1/32Answer: -Q18:The function f is defined by f(x) = x 10 for all positive numbers x. If u = f(t) for some positive numbers t and u. What is t in terms of u?A. (u+10)B. (u + 10)2C. (u2+10)D. (u + 10)2E.

22、(u2 + 10)2Answer: -Q19: y l 2 -3 0 xThe graph of which of the following equations is a straight line that is parallel to line l in the figure above?A. 3y 2x = 0B. 3y + 2x = 0C. 3y + 2x = 6 D. 2y 3x = 6E. 2y + 3x = -6Answer: -Q20:What is the total number of executives at Company P?(1) The number of m

23、ale executives is 3/5 the number of female executives.(2) There are 4 more female executives than male executives. 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 sufficie