Math Section
------------------------------------------------------------------------------------------------------------ Q1:
A family-size box of cereal contains more cereal and costs more than the regular-size box of cereal. What is the cost per ounce of the family-size box of cereal?
(1) The family-size box of cereal contains 10 ounces more than the regular-size box
of cereal.
(2) The family-size box of cereal costs $5.40.
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:
------------------------------------------------------------------------------------------------------------ Q2:
A certain roller coaster has 3 cars, and a passenger is equally likely to ride in any 1 of the 3 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 3 times, what is the probability that the passenger will ride in each of the 3 cars?
A. 0 B. 1/9 C. 2/9 D. 1/3 E. 1
Answer:
------------------------------------------------------------------------------------------------------------ Q3:
If x and y are positive, is 4x > 3y?
(1) x > y - x (2) x/y < 1
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:
------------------------------------------------------------------------------------------------------------ Q4:
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If n is the product of the integers from1 to 20 inclusive, what is the greatest integer k for which 2k is a factor of n?
A. 10 B. 12 C. 15 D. 18 E. 20
Answer:
------------------------------------------------------------------------------------------------------------ Q5: Is x > k?
(1) 2x ? 2k = 4 (2) 9x ? 3k = 81
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:
------------------------------------------------------------------------------------------------------------ Q6:
If x and y are positive, what is the value of x – y?
(1) (x2 – y2) / (x + y) = 4 (2) x + y = 7
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:
------------------------------------------------------------------------------------------------------------ Q7:
A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
A. 5/12 B. 2/5 C. 1/2 D. 3/4 E. 5/6
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Answer:
------------------------------------------------------------------------------------------------------------ Q8:
In 1997 there were 300 female employees at Company C. If the number of female employees at Company C increased by 60 percent from 1977 to 1987, by what percent did the number of female employees at Company C increase from 1987 to 1997?
(1) From 1977 to 1997 the number of female employees increased by 200 percent at
Company C.
(2) In 1977 there were 100 female employees at Company C.
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:
------------------------------------------------------------------------------------------------------------ Q9:
A gardener is going to plant 2 red rosebushes and 2 white rosebushes. If the gardener is to select each of the bushes at random, one at a time, and plant them in a row, what is the probability that the 2 rosebushes in the middle of the row will be the red rosebushes?
A. 1/12 B. 1/6 C. 1/5 D. 1/3 E. 1/2
Answer:
------------------------------------------------------------------------------------------------------------ Q10:
A set of numbers has the property that for any number t in the set, t + 2 is in the set. If –1 is in the set, which of the following must also be in the set?
I. -3 II. 1 III. 5
A. I only B. II only C. I and II only D. II and III only E. I, II, and III
Answer:
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Q11:
In a corporation, 50 percent of the male employees and 40 percent of the female employees are at least 35 years old. If 42 percent of all the employees are at least 35 years old, what fraction of the employees in the corporation are females?
A. 3/5 B. 2/3 C. 3/4 D. 4/5 E. 5/6
Answer:
------------------------------------------------------------------------------------------------------------ Q12:
If n is an integer and 2 < n < 6, what is the value of n?
(1) n is a factor of 15. (2) n is a factor of 21.
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:
------------------------------------------------------------------------------------------------------------ Q13:
If x and y are positive, is 3x > 7y?
(1) x > y + 4 (2) -5x < -14y
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:
------------------------------------------------------------------------------------------------------------ Q14:
If 1050 – 74 is written as an integer in base 10 notation, what is the sum of the digits in that integer?
A. 424 B. 433 C. 440 D. 449
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E. 467
Answer:
------------------------------------------------------------------------------------------------------------ Q15:
Ann, Carol, and Judy paid a total of $45 for their dinner at a restaurant. If Ann paid 2/5 of the total amount, Carol paid $17, and Judy paid the rest, what fraction of the total amount did Judy pay?
A. 2/9 B. 14/45 C. 1/3 D. 2/5 E. 7/15
Answer:
------------------------------------------------------------------------------------------------------------ Q16:
If J, S, and V are points on the number line, what is the distance between S and V?
(1) The distance between J and S is 20. (2) The distance between J and V is 25.
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:
------------------------------------------------------------------------------------------------------------ Q17:
In Town X, 64 percent of the population are employed, and 48 percent of the population are employed males. What percent of the employed people in Town X are females?
A. 16% B. 25% C. 32% D. 40% E. 52%
Answer:
------------------------------------------------------------------------------------------------------------ Q18: x x 2 in x 5 x