What is the value of ac(1 -- b) ?
(1)
bc = c
(2)
ac = 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.
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.
A certain state charges no sales tax on food, but charges a sales tax of 2 percent on clothing and a sales tax of 6 percent on all other items. In this state Sarah purchased items with a total price, before tax, of $210, which Included $45 for food items and $90 for dothing items. The total sales tax on the items Sarah purchased was what percent of the total price of $210 ?
A. 2.7%
B. 3.0%
C. 3.4%
D. 3.6%
E. 4.0%
A certain nutritional study defined the /V-scorefot one serving of a food to be P- Q, where Pis the sum of 10 times the number of grams of fat and ttt the number of kilocalories of energy provided per serving, and
(1)
One serving of Food X provides exactly 400 kilocalories of energy.
(2)
One serving of a food that provides 120 kilocalories of energy, 3 grams of fiber, and the same number of grams of fat as one serving of Food X has an N-score of 0.
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.
For a sales promotion, a dog food producer produces packages with 40 percent more dog food than the regular-size package and sells the larger package for the same price as the usual price of the regular-size package. Compared to the regular-size package at its usual price, approximately what percent less is the price per ounce of the larger package of dog food?
A. 25%
B. 29%
C. 37.5%
D. 40%
E. 60%
A company has a total of 1,650 employees, some of whom are office workers. How many of the employees are enrolled In Medical Plan X ?
(1)
The number of employees not enrolled In the plan Is 75 more than the number of office workers enrolled In the plan.
(2)
The number of employees enrolled in the plan Is twice the number of office workers enrolled in the plan.
A.
Statement (1) ALONE Is sufficient, but statement (2) alone Is not sufficient
B.
Statement (2) ALONE is sufficient but statement (1) atone 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
If the least number in set A is equal to the least number in set B, what is the difference when the median of the numbers in set A is subtracted from the average (arithmetic mean) of the numbers in set B?
(1)
Set A consists of 5 consecutive integers and set 5 consists of 6 consecutive integers.
(2)
The greatest number in set B is 1 more than the greatest number in set A
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.
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.
For any data set, the proportion of data that lies within A" standard deviations of its mean is at least 1 - -K. The scores on a spelling test taken by 64 students have a mean of 74.0 and a standard deviation of 6.0. If t \$ the number of students who have scores greater than 62 and less than 86, and t\s as small as possible, what is the value of t?
A. 44
B. 48
C. 57
D. 61
E. 64
Last year a company gave bonuses to a number of employees, but only in the three amounts of $750, $1,500, and $7,350. If the total amount of the bonuses was $64,800 and each of the three amounts was given to at least one employee, what is the fewest number of bonuses that the company could have given to employees last year?
A. 10
B. 11
C. 12
D. 13
E. 14
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