Practice Test #1 Data Sufficiency
(218 Questions)

1.	86-!-item-!-187;#058&000002
A garden store purchased a number of shovels and a number of rakes.  If the cost of each shovel was $14 and the cost of each rake was $9, what was the total cost of the shovels and rakes purchased by the store?

(1)  The ratio of the number of shovels to the number of rakes purchased by the store was 2 to 3.

(2)  The total number of shovels and rakes purchased by the store was 50.

2.	142-!-item-!-187;#058&000140
Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each student either likes or dislikes brussels sprouts.  Of these students,   [?] dislike lima beans; and [?] of those who dislike lima beans,  [?] also dislike brussels sprouts.  How many of the students like brussels sprouts but dislike lima beans?b

(1)  120 students eat in the cafeteria.

(2)  40 of the students like lima beans.

3.	196-!-item-!-187;#058&000141
How many different prime numbers are factors of the positive integer n ?

[?]

[?]

4.	250-!-item-!-187;#058&000160
Is the product of a certain pair of integers even? 

(1)  The sum of the integers is odd.

(2)  One of the integers is even and the other is odd.

5.	304-!-item-!-187;#058&000163
If k is an integer and 2 < k < 8, what is the value of k ?

(1) k is a factor of 30.

(2) k is a factor of 12.

6.	363-!-item-!-187;#058&000183
 
On the number line above, is the product of w, x, y, and z negative?

(1) z is positive.

(2) The product of w and x is positive.

7.	509-!-item-!-187;#058&000355
If y and z are integers, is y(z + 1) odd?

(1) 

(2) z is even.

8.	563-!-item-!-187;#058&000364
If n and m are positive integers, what is the remainder when 3^(4n + 2 + m) is divided by 10 ?

(1) n = 2

(2) m = 1

9.	617-!-item-!-187;#058&000483
If x is a positive integer, is x < 16 ?

(1) x is less than the average (arithmetic mean) of the first ten positive integers.

(2) x is the square of an integer.

10.	719-!-item-!-187;#058&000515
Of the 800 students at a certain college, 250 students live on campus and are more than 20 years old.  How many of the

800 students live on campus and are 20 years old or less?

(1)  640 students at the college are more than 20 years old.

(2)  60 students at the college are 20 years old or less and live off campus.

11.	959-!-item-!-187;#058&000583
If p is a positive odd integer, what is the remainder when p is divided by 4 ?

(1) When p is divided by 8, the remainder is 5.

(2) p is the sum of the squares of two positive integers.

12.	1013-!-item-!-187;#058&000609
Of the 25 cars sold at a certain dealership yesterday, some had automatic transmission and some had antilock brakes.  How many of the cars had automatic transmission but not antilock brakes?

(1)  All of the cars that had antilock brakes also had automatic transmission.

(2)  2 of the cars had neither automatic transmission nor antilock brakes.

13.	1067-!-item-!-187;#058&000618
Is x to the right of -5 on the number line?

(1) x is to the right of -7 on the number line.

(2) x is between -4 and -3 on the number line.

14.	1121-!-item-!-187;#058&000619
Is y between -2 and 1 on the number line?

(1) y is to the right of -1 on the number line.

(2) y is to the left of 2 on the number line.

15.	1175-!-item-!-187;#058&000621
Is r to the right of -6 on the number line?

(1) r is between -4 and -1 on the number line.

(2) r is between -3 and 1 on the number line.

16.	1275-!-item-!-187;#058&000656
Lines n and p lie in the xy-plane.  Is the slope of line n less than the slope of line p ?

(1)  Lines n and p intersect at the point (5,1).

(2)  The y-intercept of line n is greater than the y-intercept of line p.

17.	1329-!-item-!-187;#058&000662
Six countries in a certain region sent a total of 75 representatives to an international congress, and no two countries sent the same number of representatives.  Of the six countries, if Country A sent the second greatest number of representatives, did Country A send at least 10 representatives?

(1)  One of the six countries sent 41 representatives to the congress.

(2)  Country A sent fewer than 12 representatives to the congress.

18.	1383-!-item-!-187;#058&000675
What is the hundredths digit of the decimal z ?

(1)  The tenths digit of 100z is 2.

(2)  The units digit of 1,000z is 2.

19.	1437-!-item-!-187;#058&000677
Is z equal to the median of the three positive integers x, y, and z ?

(1) x < y + z

(2) y = z

20.	1491-!-item-!-187;#058&000755
A certain one-day seminar consisted of a morning session and an afternoon session.  If each of the 128 people attending the seminar attended at least one of the two sessions, how many of the people attended the morning session only?

 [?]

 [?]

21.	1545-!-item-!-187;#058&000766
If a certain charity collected a total of 360 books, videos, and board games, how many videos did the charity collect?

[?]

[?]

22.	1599-!-item-!-187;#058&000810
Of the 800 sweaters at a certain store, 150 are red. How many of the red sweaters at the store are made of pure wool?

(1)  320 of the sweaters at the store are neither red nor made of pure wool.

(2)  100 of the red sweaters at the store are not made of pure wool.

23.	1653-!-item-!-187;#058&000843
At least 100 students at a certain high school study Japanese. If 4 percent of the students at the school who study French also study Japanese, do more students at the school study French than Japanese?

(1)  16 students at the school study both French and Japanese.

(2)  10 percent of the students at the school who study Japanese also study French.

24.	1952-!-item-!-187;#058&002488
At a certain restaurant, if each hamburger costs the same amount, what is the cost, excluding sales tax, of 1 hamburger?

(1)  The total cost, including a 6 percent sales tax, is $4.77 for 3 hamburgers.

(2)  The total cost, including a 6 percent sales tax, is less than $6.50 for 4 hamburgers.

25.	2055-!-item-!-187;#058&002563
What is the value of n ?

[?]

[?]

26.	2109-!-item-!-187;#058&002567
In a certain conference room each row of chairs has the same number of chairs, and the number of rows is 1 less than the number of chairs in a row.  How many chairs are in a row?

(1)  There is a total of 72 chairs.

(2)  After 1 chair is removed from the last row, there is a total of 17 chairs in the last 2 rows.

27.	2260-!-item-!-187;#058&002626
What is the price for a certain meal listed on a menu?

(1)  The total paid for the meal, sales tax, and gratuity is $10.84.

(2)  The sales tax on food is 6 percent.

28.	2365-!-item-!-187;#058&002728
Which of Company X and Company Y earned the greater gross profit last year?

[?]

[?]

29.	2517-!-item-!-187;#058&002771
What is the value of 6x - 10 ?

(1)  3x - 5 = 16

(2)  12x - 10 = 74

30.	2663-!-item-!-187;#058&002855
Is w greater than 1 ?

(1) [?]

(2) w^2 > 1

31.	2764-!-item-!-187;#058&002889
At a refreshment stand, each can of soda sells for the same price and each sandwich sells for the same price.  What is the total price for 2 sandwiches and 3 cans of soda at the stand?

(1)  At the stand the total price for 1 sandwich and 1 can of soda is $3.

(2)  At the stand the total price for 3 sandwiches and 2 cans of soda is $8.

32.	2818-!-item-!-187;#058&002974
Al, Pablo, and Marsha shared the driving on a 1,500-mile trip.  Which of the three drove the greatest distance on the trip?

(1)  Al drove 1 hour longer than Pablo but at an average rate of 5 miles per hour slower than Pablo.

(2)  Marsha drove 9 hours and averaged 50 miles per hour.

33.	2873-!-item-!-187;#058&002998
If x =  [?], is y equal to 1 ?

[?]

[?]

34.	2927-!-item-!-187;#058&003024
During an experiment, some water was removed from each of 6 water tanks.  If the standard deviation of the volumes of water in the tanks at the beginning of the experiment was 10 gallons, what was the standard deviation of the volumes of water in the tanks at the end of the experiment?

(1) For each tank, 30 percent of the volume of water that was in the tank at the beginning of the experiment was removed during the experiment.

(2) The average (arithmetic mean) volume of water in the tanks at the end of the experiment was 63 gallons.

35.	3076-!-item-!-187;#058&003114
If p and n are positive integers and p > n, what is the remainder when p^2 - n^2 is divided by 15 ?

(1)  The remainder when p + n is divided by 5 is 1.

(2)  The remainder when p - n is divided by 3 is 1.

36.	3130-!-item-!-187;#058&003116
If x is positive, is x > 3 ?

(1)  (x - 1)^2 > 4

(2)  (x - 2)^2 > 9

37.	3184-!-item-!-187;#058&003224
When 1,000 children were inoculated with a certain vaccine, some developed inflammation at the site of the inoculation and some developed fever.  How many of the children developed inflammation but not fever?

(1)  880 children developed neither inflammation nor fever.

(2)  20 children developed fever.

38.	3481-!-item-!-187;#058&003324
If r and s are positive integers, is  [?] an integer?

(1)  Every factor of s is also a factor of r.

(2)  Every prime factor of s is also a prime factor of r.

39.	3582-!-item-!-187;#058&003470
For the students in class A, the range of their heights is r centimeters and the greatest height is g centimeters.  For the students in class B, the range of their heights is s centimeters and the greatest height is h centimeters.  Is the least height of the students in class A greater than the least height of the students in class B ?

(1) r < s

(2) g > h

40.	3636-!-item-!-187;#058&003488
Beth's bank charges a service fee on a regular checking account for each month in which the balance on the account falls below $100 at any time during the month.  Did the bank charge a service fee on Beth's regular checking account last month?

(1)  During last month, a total of $1,000 was withdrawn from Beth's regular checking account.

(2)  At the beginning of last month, Beth's regular checking account balance was $500.

41.	3690-!-item-!-187;#058&003497
Machines X and Y work at their respective constant rates.  How many more hours does it take machine Y, working alone, to fill a production order of a certain size than it takes machine X, working alone?

(1) Machines X and Y, working together, fill a production order of this size in two-thirds the time that machine X, working alone, does.

(2) Machine Y, working alone, fills a production order of this size in twice the time that machine X, working alone, does.

42.	3744-!-item-!-187;#058&003565
John and Mary own shares of stock in a certain company.  Does John own more shares of the company's stock than Mary?

(1) Mary owns more than 500 shares of the company's stock.

(2) The number of shares of the company's stock that John owns is 400 less than twice the number of shares of the company's stock that Mary owns.

43.	3798-!-item-!-187;#058&003572
Each person in a certain group supports only one of the two candidates R and T. Of the people in the group, 45 percent support Candidate R and the rest support Candidate T.  How many people in the group are in favor of a flat tax?

(1)  Of the people in the group who support Candidate R, 58 percent are in favor of a flat tax.

(2)  Of the people in the group who support Candidate T, 22 are in favor of a flat tax.

44.	3852-!-item-!-187;#058&003578
In the xy-plane, at what two points does the graph of y = (x + a)(x + b) intersect the x-axis?

(1) a + b = -1

(2) The graph intersects the y-axis at (0, -6).

45.	3906-!-item-!-187;#058&003579
How many of the 42 people in a group are employed students?

(1)  29 of the 42 people are employed.

(2)  24 of the 42 people are students.

46.	3960-!-item-!-187;#058&003582
How many hours did it take Helen to drive from her house to her parents' house?

(1)  Helen's average speed on this trip was 72 kilometers per hour.

(2)  If Helen's average speed on this trip had been 8 kilometers per hour greater, it would have taken her 1 hour less.

47.	4068-!-item-!-187;#058&003673
Is m [?] n ?

(1) m + n < 0

(2) mn < 0

48.	4122-!-item-!-187;#058&003746
Last Friday each of the pets at a certain veterinary clinic was given either 1 treat or 2 treats.  What was the total number of treats given to pets at the clinic last Friday?

[?]

[?]

49.	4176-!-item-!-187;#058&003769
Does x + y = 5 ?

(1) 4x + y = 17

(2) x + 4y = 8

50.	4230-!-item-!-187;#058&003784
A construction company was paid a total of $500,000 for a construction project.  The company's only costs for the project were for labor and materials.  Was the company's profit for the project greater than $150,000 ?

(1)  The company's total cost was three times its cost for materials.

(2)  The company's profit was greater than its cost for labor.

51.	4284-!-item-!-187;#058&003822
What is the total value of Company H's stock?

[?]

[?]

52.	4338-!-item-!-187;#058&003827
If the average (arithmetic mean) of four different numbers is 30, how many of the numbers are greater than 30 ?

(1)  None of the four numbers is greater than 60.

(2)  Two of the four numbers are 9 and 10, respectively.

53.	4392-!-item-!-187;#058&003851
If wx = y, what is the value of xy ?

(1) w(x^2) = 16

(2) y = 4

54.	4538-!-item-!-187;#058&004024
Is x - y + 1 greater than x + y - 1 ?

(1) x > 0

(2) y < 0

55.	4687-!-item-!-187;#058&004202
Malik's recipe for 4 servings of a certain dish requires 1 cups of pasta.  According to this recipe, what is the number of cups of pasta that Malik will use the next time he prepares this dish?b

(1)  The next time he prepares this dish, Malik will make half as many servings as he did the last time he prepared the dish.

(2)  Malik used 6 cups of pasta the last time he prepared this dish.

56.	4741-!-item-!-187;#058&004206
During a sale, a clothing store sold each shirt at a price of $15 and each sweater at a price of $25.  Did the store sell more sweaters than shirts during the sale?

(1)  The average (arithmetic mean) of the prices of all of the shirts and sweaters that the store sold during the sale was $21.

(2)  The total of the prices of all of the shirts and sweaters that the store sold during the sale was $420.

57.	4795-!-item-!-187;#058&004223
During a sale, for each shirt that Mark purchased at the regular price, he also purchased a shirt at half the regular price.  How many shirts did Mark purchase during the sale?

(1)  The regular price of each of the shirts that Mark purchased during the sale was $21.50.

(2)  The total of the prices for all the shirts that Mark purchased during the sale was $129.00.

58.	4895-!-item-!-187;#058&004290
What is the remainder when the positive integer x is divided by 3 ?

(1)  When x is divided by 6, the remainder is 2.

(2)  When x is divided by 15, the remainder is 2.

59.	4950-!-item-!-187;#058&004329
Ann deposited money into two new accounts, A and B.  Account A earns 5 percent simple annual interest and account B earns

8 percent simple annual interest.  If there were no other transactions in the two accounts, then the amount of interest that account B earned in the first year was how many dollars greater than the amount of interest that account A earned in the first year?

(1)  Ann deposited $200 more in account B than in account A.

(2)  The total amount of interest that the two accounts earned in the first year was $120.

60.	5054-!-item-!-187;#058&004422
What was the percent increase in the population of City K from 1980 to 1990 ?

[?]

[?]

61.	5157-!-item-!-187;#058&004472
Of the 60 animals on a certain farm,  [?] are either pigs or cows.  How many of the animals are cows?

(1)  The farm has more than twice as many cows as it has pigs.

(2)  The farm has more than 12 pigs.

62.	5212-!-item-!-187;#058&004501
In isosceles [?]RST what is the measure of  [?]

[?]

[?]

63.	5266-!-item-!-187;#058&004544
The cost of delivery for an order of desk chairs was $10.00 for the first chair, and $1.00 for each additional chair in the order.  If an office manager placed an order for n desk chairs, is n > 24 ?

(1)  The delivery cost for the order totaled more than $30.00.

(2)  The average (arithmetic mean) delivery cost per chair of the n chairs was $1.36.

64.	5320-!-item-!-187;#058&004563
Are at least 10 percent of the people in Country X who are 65 years old or older employed?

(1) In Country X, 11.3 percent of the population is 65 years old or older.

(2) In Country X, of the population 65 years old or older, 20 percent of the men and 10 percent of the women are employed.

65.	5374-!-item-!-187;#058&004565
If x is a positive number less than 10, is z greater than the average (arithmetic mean) of x and 10 ?

(1) On the number line, z is closer to 10 than it is to x.

(2) z = 5x

66.	5428-!-item-!-187;#058&004588
In the finite sequence of positive integers K1, K2, K3, . . . , K9, each term after the second is the sum of the two terms immediately preceding it.  If K5 = 18, what is the value of K9 ?

(1) K4 = 11

(2) K6 = 29

67.	5482-!-item-!-187;#058&004634
Is x + y negative?

(1) x is negative.

(2) y is positive.

68.	5536-!-item-!-187;#058&004638
What is the tens digit of the positive integer r ?

[?]

[?]

69.	5825-!-item-!-187;#058&004737

[?]

In triangle ABC above, what is the length of side BC ?

(1) Line segment AD has length 6.

(2) [?]

70.	6067-!-item-!-187;#058&004849
Is the integer x divisible by 6 ?

(1) x + 3 is divisible by 3.

(2) x + 3 is an odd number.

71.	6125-!-item-!-187;#058&004856

[?]

In the figure above, if x and y are each less than 90 and   is the length of segment PQ less than the length of segment SR ?

(1) x > y

(2) x + y > 90

72.	6179-!-item-!-187;#058&004900
A bookstore that sells used books sells each of its paperback books for a certain price and each of its hardcover books for a certain price.  If Joe, Maria, and Paul bought books in this store, how much did Maria pay for 1 paperback book and 1 hardcover book?

(1)   Joe bought 2 paperback books and 3 hardcover books for $12.50.

(2)   Paul bought 4 paperback books and 6 hardcover books for $25.00.

73.	6279-!-item-!-187;#058&004943
What is the average (arithmetic mean) of eleven consecutive integers?

(1)  The average of the first nine integers is 7.

(2)  The average of the last nine integers is 9.

74.	6333-!-item-!-187;#058&004944
If x and y are integers, what is the value of x + y ?

(1)   690 < x < y < 696

(2)   692 < x < y < 695

75.	6387-!-item-!-187;#058&004958
Is x less than 20 ?

(1) The sum of x and y is less than 20.

(2) y is less than 20.

76.	6441-!-item-!-187;#058&005031
Is the integer k divisible by 4 ?

(1)   8k is divisible by 16.

(2)   9k is divisible by 12.

77.	6741-!-item-!-187;#058&005163
If n is an integer between 10 and 99, is n < 80 ?

(1)  The sum of the two digits of n is a prime number.

(2)  Each of the two digits of n is a prime number.

78.	6841-!-item-!-187;#058&005248
For each customer, a bakery charges p dollars for the first loaf of bread bought by the customer and charges q dollars for each additional loaf bought by the customer.  What is the value of p ?

(1)  A customer who buys 2 loaves is charged 10 percent less per loaf than a customer who buys a single loaf.

(2)  A customer who buys 6 loaves of bread is charged 10 dollars.

79.	6946-!-item-!-187;#058&005390
If the terms of a sequence are t1, t2, t3, . . . , tn, what is the value of n ?

(1)  The sum of the n terms is 3,124.

(2)  The average (arithmetic mean) of the n terms is 4.

80.	7243-!-item-!-187;#058&005480
If x is a negative number, what is the value of x ?

(1) x2 = 1

(2) x2 + 3x + 2 = 0

81.	7301-!-item-!-187;#058&005482

[?]

In the figure above, what is the ratio  [?]

(1)   The perimeter of rectangle KLMN is 30 meters.

(2)   The three small rectangles have the same dimensions.

82.	7356-!-item-!-187;#058&005489
Is   [?]?

[?]

[?]

83.	7463-!-item-!-187;#058&005565
If u, v, and w are integers, is u > 0 ?

(1) u = v^2 + 1

(2) u = w^4 + 1

84.	7517-!-item-!-187;#058&005572
If p is a prime number greater than 2, what is the value of p ?

(1)   There are a total of 100 prime numbers between 1 and p + 1.

(2)   There are a total of p prime numbers between 1 and 3,912.

85.	7713-!-item-!-187;#058&005641
Is k positive?

(1) k is between -2 and 3 on the number line.

(2) k is between 1 and 2 on the number line.

86.	7767-!-item-!-187;#058&005660
Each of the students in a certain class received a single grade of P, F, or I.  What percent of the students in the class were females?

(1)  Of those who received a P, 40 percent were females.

(2)  Of those who received either an F or I, 80 percent were males.

87.	7824-!-item-!-187;#058&005664

[?]

In the figure above, segments PQ and PR are each parallel to one of the rectangular coordinate axes.  What is the sum of the coordinates of point P ?

(1)   The x-coordinate of point Q is -1.

(2)   The y-coordinate of point R is 1.

88.	8066-!-item-!-187;#058&005745
What is the greatest common divisor of positive integers m and n ?

(1) m is a prime number.

(2) 2n = 7m

89.	8212-!-item-!-187;#058&005846
What is the retail price of a certain calculator?

(1)  The retail price of the calculator is $2.00 more than the wholesale price.

(2)  The retail price of the calculator is 50 percent more than the $4.00 wholesale price.

90.	8266-!-item-!-187;#058&005947
On Jane's credit card account, the average daily balance for a 30-day billing cycle is the average (arithmetic mean) of the daily balances at the end of each of the 30 days.  At the beginning of a certain 30-day billing cycle, Jane's credit card account had a balance of $600.  Jane made a payment of $300 on the account during the billing cycle.  If no other amounts were added to or subtracted from the account during the billing cycle, what was the average daily balance on Jane's account for the billing cycle?

(1)  Jane's payment was credited on the 21st day of the billing cycle.

(2)  The average daily balance through the 25th day of the billing cycle was $540.

91.	8417-!-item-!-187;#058&005991
What is the remainder when the positive integer n is divided by 6 ?

(1) n is a multiple of 5.

(2) n is a multiple of 12.

92.	8471-!-item-!-187;#058&005997
Is the integer r divisible by 3 ?

(1) r is the product of 4 consecutive positive integers.

(2) r < 25

93.	8525-!-item-!-187;#058&006006
If the integer n is greater than 1, is n equal to 2 ?

(1) n has exactly two positive factors.

(2) The difference of any two distinct positive factors of n is odd.

94.	8579-!-item-!-187;#058&006012
What is the value of y ?

(1) y is an odd integer between 28 and 34.

(2) 31 < y < 36

95.	8634-!-item-!-187;#058&006039
Is  [?] < b - a ?

[?]

[?]

96.	8688-!-item-!-187;#058&006049
If x and y are integers greater than 1, is x a multiple of y ?

[?]

[?]

97.	8745-!-item-!-187;#058&006054
Is   ?

(1) [?]

(2) [?]

98.	8799-!-item-!-187;#058&006082
What is the value of 5x2 + 4x - 1 ?

(1) x(x + 2) = 0

(2) x = 0

99.	9270-!-item-!-187;#058&006322
If m > 0 and n > 0, is [?]

(1) m < n

(2) x > 0

100.	9327-!-item-!-187;#058&006480

[?]

In the rectangular coordinate system shown above, does the line k (not shown) intersect quadrant II ?

[?]

[?]

101.	9432-!-item-!-187;#058&006634
If the sum of three different numbers is 54, what is the largest number?

(1)  The largest number is twice the smallest number.

(2)  The sum of the two smaller numbers is 30.

102.	9486-!-item-!-187;#058&006637
If M is a finite set of negative integers, is the total number of integers in M an odd number?

(1)  The product of all the integers in M is odd.

(2)  The product of all the integers in M is negative.

103.	9540-!-item-!-187;#058&006638
A certain bag contains red, blue, and green marbles.  What is the ratio of the number of green marbles to the number of red marbles in the bag?

(1)  The number of blue marbles in the bag is 2 times the number of green marbles in the bag.

(2)  The number of blue marbles in the bag is 3 times the number of red marbles in the bag.

104.	9643-!-item-!-187;#058&006681
What is the value of x ?

(1) y - x = y - 6

(2) x + 2y = 10

105.	9789-!-item-!-187;#058&006817
What is the number of members of Club X who are at least 35 years of age?

[?]

[?]

106.	9843-!-item-!-187;#058&006850
What was Jean's insurance premium in 1995 ?

[?]

[?]

107.	9897-!-item-!-187;#058&006904
A combined total of 55 lightbulbs are stored in two boxes; of these, a total of 7 are broken.  If there are exactly 2 broken bulbs in the first box, what is the number of bulbs in the second box that are not broken?

(1)  In the first box, the number of bulbs that are not broken is 15 times the number of broken bulbs.

(2)  The total number of bulbs in the first box is 9 more than the total number of bulbs in the second box.

108.	10385-!-item-!-187;#058&007204
Three friends rented a car for a week and divided the cost equally.  What was the total cost of renting the car?

(1) If the three friends had kept the car for a second week, they could have obtained the two-week rate, which was 1.5 times the cost of a one-week rental.

(2) If a fourth friend had joined the three friends and the cost had been divided equally among the four friends, the cost to each of the original three would have been reduced by $15.

109.	10439-!-item-!-187;#058&007237
If R = 1 + 2xy + (x^2)(y^2), what is the value of xy ?

(1) R = 0

(2) x > 0

110.	10493-!-item-!-187;#058&007240
If z^n = 1, what is the value of z ?

(1) n is a nonzero integer.

(2) z > 0

111.	10884-!-item-!-187;#058&007442
If x, y, and z are positive integers, what is the remainder when 100x + 10y + z is divided by 7 ?

(1) y = 6

(2) z = 3

112.	11176-!-item-!-187;#058&007606
Each person attending a fund-raising party for a certain club was charged the same admission fee.  How many people attended the party?

(1) If the admission fee had been $0.75 less and 100 more people had attended, the club would have received the same amount in admission fees.

(2) If the admission fee had been $1.50 more and 100 fewer people had attended, the club would have received the same amount in admission fees.

113.	11760-!-item-!-187;#058&007855
For a certain set of n numbers, where n > 1, is the average (arithmetic mean) equal to the median?

(1) If the n numbers in the set are listed in increasing order, then the difference between any pair of successive numbers in the set is 2.

(2) The range of the n numbers in the set is 2(n - 1).

114.	11816-!-item-!-187;#058&007868
Henry purchased 3 items during a sale.  He received a 20 percent discount off the regular price of the most expensive item and a 10 percent discount off the regular price of each of the other 2 items.  Was the total amount of the 3 discounts greater than 15 percent of the sum of the regular prices of the 3 items?

(1)  The regular price of the most expensive item was $50, and the regular price of the next most expensive item was $20.

(2)  The regular price of the least expensive item was $15.

115.	11870-!-item-!-187;#058&007880
If xy = -18, is x less than y ?

(1) x < 0

(2) y < 10

116.	11924-!-item-!-187;#058&007881
An insurance company has a contract with a medical laboratory to pay a discounted price for a certain medical test performed on patients referred to the laboratory by the insurance company.  If the laboratory's original bill for this medical test on a patient referred by the insurance company is $230, what is the percent discount specified by the contract between the laboratory and the insurance company?

(1)  The insurance company is required to pay only 20 percent of the original bill for the test.

(2)  The insurance company is required to pay $46 for the test.

117.	11978-!-item-!-187;#058&007947
If P, Q, and R are points on the number line, what is the distance between P and R ?

(1) Q is between P and R.

(2)  The distance between P and Q is 5.

118.	12032-!-item-!-187;#058&007948
If x is positive, what is the value of y ?

(1) 5x = 15

(2) xy + y = 18

119.	12086-!-item-!-187;#058&008079
A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that contained 2 percent gravel G, by weight, to produce z tons of a mixture that was 5 percent gravel G, by weight.  What is the value of x ?

(1) y = 10

(2) z = 16

120.	12140-!-item-!-187;#058&008146
How many of the students in a certain class are taking both a history and a science course?

(1)  Of all the students in the class, 50 are taking a history course.

(2)  Of all the students in the class, 70 are taking a science course.

121.	12194-!-item-!-187;#058&008148
Pat bought 5 pounds of apples.  How many pounds of pears could Pat have bought for the same amount of money?

[?]

[?]

122.	12343-!-item-!-187;#058&008383
During a 40-mile trip, Marla traveled at an average speed of x miles per hour for the first y miles of the trip and at an average speed of 1.25x miles per hour for the last 40 - y miles of the trip.  The time that Marla took to travel the 40 miles was what percent of the time it would have taken her if she had traveled at an average speed of x miles per hour for the entire trip?

(1) x = 48

(2) y = 20

123.	12586-!-item-!-187;#058&008871
If integer p is greater than 1, is p a prime number?

(1) [?]

(2) The only positive factors of p are 1 and p.

124.	12829-!-item-!-187;#058&008976
A certain company divides its total advertising budget into television, radio, newspaper, and magazine budgets in the ratio of 8 : 7 : 3 : 2, respectively.  How many dollars are in the radio budget?

(1)  The television budget is $18,750 more than the newspaper budget.

(2)  The magazine budget is $7,500.

125.	12932-!-item-!-187;#058&009020
The sequence a1, a2, a3, . . . , an of n  integers is such that ak = k if k is odd and ak = -ak - 1 if k is even.  Is the sum of the terms in the sequence positive?

[?]

[?]

126.	13035-!-item-!-187;#058&009047
S is a finite set of numbers.  Does S contain more negative numbers than positive numbers?

(1)  The product of all the numbers in S is -1,200.

(2)  There are 6 numbers in S .

127.	13089-!-item-!-187;#058&009187
On the number line, if the number k is to the left of the number t, is the product kt  to the right of t ?

(1) t < 0

(2) k < 1

128.	13143-!-item-!-187;#058&009201
The points A, B, C, and D are on a number line, not necessarily in that order.  If the distance between A and B is 18 and the distance between C and D is 8, what is the distance between B and D ?

(1) The distance between C and A is the same as the distance between C and B.

(2) A is to the left of D on the number line.

129.	13198-!-item-!-187;#058&009205
[?]

130.	13252-!-item-!-187;#058&009207
In the sequence of positive numbers x 1, x 2, x 3, . . . , what is the value of x 1 ?

[?]

[?]

131.	13306-!-item-!-187;#058&009213
The positive integer k has exactly two positive prime factors, 3 and 7.  If k has a total of 6 positive factors, including 1 and k, what is the value of k ?

[?]

[?]

132.	13360-!-item-!-187;#058&009215
If [?] and k are lines in the xy-plane, is the product of the slopes of [?] and k equal to -1 ?

(1)  Line [?] passes through the origin and the point (1, 2).

(2)  Line k has x-intercept 4 and y-intercept 2.

133.	13609-!-item-!-187;#058&009567
At a certain company, the average (arithmetic mean) number of years of experience is 9.8 years for the male employees and 9.1 years for the female employees.  What is the ratio of the number of the company's male employees to the number of the company's female employees?

(1)  There are 52 male employees at the company.

(2)  The average number of years of experience for the company's male and female employees combined is 9.3 years.

134.	13755-!-item-!-187;#058&009724
An attorney charged a fee for estate planning services for a certain estate. The attorney's fee was what percent of the assessed value of the estate?

(1)  The assessed value of the estate was $1.2 million.

(2)  The attorney charged $2,400 for the estate planning services.

135.	13860-!-item-!-187;#058&009754
During a one-day sale, a store sold each sweater of a certain type for $30 more than the store's cost to purchase each sweater.  How many of these sweaters were sold during the sale?

(1) During the sale, the total revenue from the sale of these sweaters was $270.

(2) During the sale, the store sold each of these sweaters at a price that was 50 percent greater than the store's cost to purchase each sweater.

136.	13960-!-item-!-187;#058&009782
An integer greater than 1 that is not prime is called composite. If the two-digit integer n is greater than 20, is n composite?

(1)  The tens digit of n is a factor of the units digit of n.

(2)  The tens digit of n is 2.

137.	14062-!-item-!-187;#058&009802
If x is an integer, is (x^2 + 1)(x + 5) an even number?

(1) x is an odd number.

(2)  Each prime factor of  [?] is greater than 7.

138.	14162-!-item-!-187;#058&009822
A certain theater has a total of 884 seats, of which 500 are orchestra seats and the rest are balcony seats.  When tickets for all the seats in the theater are sold, the total revenue from ticket sales is $34,600.  What was the theater's total revenue from ticket sales for last night's performance?

(1) The price of an orchestra seat ticket is twice the price of a balcony seat ticket.

(2) For last night's performance, tickets for all the balcony seats were sold, but only 80 percent of the tickets for the orchestra seats were sold.

139.	14263-!-item-!-187;#058&009908
If it took Carlos [?] hour to cycle from his house to the library yesterday, was the distance that he cycled greater than 6 miles? (Note:  1 mile = 5,280 feet)

(1)  The average speed at which Carlos cycled from his house to the library yesterday was greater than 16 feet per second.

(2)  The average speed at which Carlos cycled from his house to the library yesterday was less than 18 feet per second.

140.	14319-!-item-!-187;#058&009938
At a certain pet shop, [?] of the pets are dogs and [?] of the pets are birds.  How many of the pets are dogs?

(1)  There are 30 birds at the pet shop.

(2)  There are 20 more dogs than birds at the pet shop.

141.	14373-!-item-!-187;#058&009939
To fill an order on schedule, a manufacturer had to produce 1,000 tools per day for n days.  What is the value of n ?

(1) Because of production problems, the manufacturer produced only 600 tools per day during the first 5 days.

(2) Because of production problems, the manufacturer had to produce 1,500 tools per day on each of the last 4 days in order to meet the schedule.

142.	14473-!-item-!-187;#058&010003
If x is a positive integer, what is the least common multiple of x, 6, and 9 ?

(1)  The least common multiple of x and 6 is 30.

(2)  The least common multiple of x and 9 is 45.

143.	14534-!-item-!-187;#058&010011

[?]

In the figure shown, the measure of angle PRS is how many degrees greater than the measure of angle PQR ?

(1)  The measure of angle QPR is [?] 

(2)  The sum of the measures of angles PQR and PRQ is [?]

144.	14635-!-item-!-187;#058&010061
If $1,000 is deposited in a certain bank account and remains in the account along with any accumulated interest, the dollar amount of interest, I , earned by the deposit in the first n years is given by the formula  , where r percent is the annual interest rate paid by the bank.  Is the annual interest rate paid by the bank greater than 8 percent?

[?]

[?]

145.	14689-!-item-!-187;#058&010088
On her way home from work, Janet drives through several tollbooths.  Is there a pair of these tollbooths that are less than 10 miles apart?

(1)  The first tollbooth and the last tollbooth are 25 miles apart.

(2)  Janet drives through 4 tollbooths on her way home from work.

146.	14746-!-item-!-187;#058&010097
If the symbol [?] represents either addition or multiplication, which operation does it represent?

(1)  [?] for all numbers a and b.

(2)  [?] for all numbers a, b, and c.

147.	14800-!-item-!-187;#058&010134
Each employee on a certain task force is either a manager or a director.  What percent of the employees on the task force are directors?

(1) The average (arithmetic mean) salary of the managers on the task force is $5,000 less than the average salary of all employees on the task force.

(2) The average (arithmetic mean) salary of the directors on the task force is $15,000 greater than the average salary of all employees on the task force.

148.	14854-!-item-!-187;#058&010192
In the xy-plane, does the line with equation y = 3x + 2 contain the point (r, s) ?

(1)  (3r + 2 - s)(4r + 9 - s) = 0

(2)  (4r - 6 - s)(3r + 2 - s) = 0

149.	14908-!-item-!-187;#058&010196
If m, r, x, and y are positive, is the ratio of m to r equal to the ratio of x to y ?

(1)  The ratio of m to y is equal to the ratio of x to r.

(2)  The ratio of m + x to r + y is equal to the ratio of x to y.

150.	15103-!-item-!-187;#058&010253
If a, b, k, and m are positive integers, is ak a factor of bm ?

(1) a is a factor of b.

(2) [?]

151.	15157-!-item-!-187;#058&010256
Is x > 0.05 ?

[?]

[?]

152.	15303-!-item-!-187;#058&010299
If xyz > 0, is x > 0 ?

(1) xy > 0

(2) xz > 0

153.	15354-!-item-!-187;#058&010304
A wooden rod is cut into two pieces.  What is the length of the longer piece?

[?]

154.	15408-!-item-!-187;#058&010332
The sum of positive integers x and y is 77.  What is the value of xy ?

(1) x = y + 1

(2) x and y have the same tens digit.

155.	15462-!-item-!-187;#058&010358
Did it take Pei more than 2 hours to walk a distance of 10 miles along a certain trail?  (1 mile = 1.6 kilometers, rounded to the nearest tenth.)

(1)  Pei walked this distance at an average rate of less than 6.4 kilometers per hour.

(2)  On average, it took Pei more than 9 minutes per kilometer to walk this distance.

156.	15516-!-item-!-187;#058&010359
A store sells milk in cartons of two sizes, one-half gallon and one-quarter gallon.  If the store sold a total of 300 cartons of milk yesterday, how many gallons of milk did it sell yesterday?

(1)  Yesterday the store sold 120 one-quarter-gallon cartons of milk.

(2)  Yesterday the store sold 90 gallons of milk in one-half-gallon cartons.

157.	15663-!-item-!-187;#058&010465
If n is a positive integer and r is the remainder when 4 + 7n is divided by 3, what is the value of r ?

(1) n + 1 is divisible by 3.

(2) n > 20

158.	15810-!-item-!-187;#058&010518
Each of the 25 balls in a certain box is either red, blue, or white and has a number from 1 to 10 painted on it.  If one ball is to be selected at random from the box, what is the probability that the ball selected will either be white or have an even number painted on it?

(1)  The probability that the ball will both be white and have an even number painted on it is 0.

(2)  The probability that the ball will be white minus the probability that the ball will have an even number painted on it is 0.2.

159.	15957-!-item-!-187;#058&010660
If n is a positive integer and r is the remainder when (n - 1)(n + 1) is divided by 24, what is the value of r ?

(1) n is not divisible by 2.

(2) n is not divisible by 3.

160.	16057-!-item-!-187;#058&010664
If Company M ordered a total of 50 computers and printers and Company N ordered a total of 60 computers and printers, how many computers did Company M order?

(1)  Company M and Company N ordered the same number of computers.

(2)  Company N ordered 10 more printers than Company M.

161.	16203-!-item-!-187;#058&010722
If the average (arithmetic mean) of the five numbers x, 7, 2, 16, and 11 is equal to the median of the five numbers, what is the value of x ?

(1) 7 < x < 11

(2) x is the median of the five numbers.

162.	16257-!-item-!-187;#058&010730
What fraction of this year's graduating students at a certain college are males?

(1)  Of this year's graduating students, 33 percent of the males and 20 percent of the females transferred from another college.

(2)  Of this year's graduating students, 25 percent transferred from another college.

163.	16312-!-item-!-187;#058&010731
Linda put an amount of money into each of two new investments, A and B, that pay simple annual interest.  If the annual interest rate of investment B is 1.5 times that of investment A, what amount did Linda put into investment A ?b

(1)  The interest for 1 year is $50 for investment A and $150 for investment B.

(2)  The amount that Linda put into investment B is twice the amount that she put into investment A.

164.	16412-!-item-!-187;#058&010774
At a two-day seminar, 90 percent of those registered attended the seminar on the first day.  What percent of those registered did not attend the seminar on either day?

(1)  A total of 1,000 people registered for the two-day seminar.

(2)  Of those registered, 80 percent attended the seminar on the second day.

165.	16466-!-item-!-187;#058&010795
Of the 1,400 college teachers surveyed, 42 percent said that they considered engaging in research an essential goal.  How many of the college teachers surveyed were women?

(1) In the survey, 36 percent of the men and 50 percent of the women said that they considered engaging in research an essential goal.

(2) In the survey, 288 men said that they considered engaging in research an essential goal.

166.	16522-!-item-!-187;#058&010838
In the xy-coordinate plane, the slope of line [?] is [?].  Does line [?] pass through the point [?] ?

(1)  Line [?] passes through the point (4,4).

(2)  Line [?] passes through the point (-4,-2).

167.	16626-!-item-!-187;#058&010859
If x, y, and z are integers and xy + z is an odd integer, is x an even integer?

(1) xy + xz is an even integer.

(2) y + xz is an odd integer.

168.	16680-!-item-!-187;#058&010861
On the number line, the distance between x and y is greater than the distance between x and z.  Does z lie between x and y on the number line?

(1) xyz < 0

(2) xy < 0

169.	16735-!-item-!-187;#058&010875
If the integers a and n are greater than 1 and the product of the first 8 positive integers is a multiple of   what is the value of a ?

[?]

[?]

170.	16927-!-item-!-187;#058&010946
If n and t are positive integers, what is the greatest prime factor of the product nt ?

(1)  The greatest common factor of n and t is 5.

(2)  The least common multiple of n and t is 105.

171.	16981-!-item-!-187;#058&010960
Is |x - y | > |x | - |y | ?

[?]

[?]

172.	17130-!-item-!-187;#058&011022
If m, k, x, and y are positive numbers, is mx + ky > kx + my ?

(1) m > k

(2) x > y

173.	17281-!-item-!-187;#058&011070
If N is a positive integer, is the units digit of N equal to zero?

(1) 14 and 35 are factors of N.

(2) N = (2^5)(3^2)(5^7)(7^6)

174.	17336-!-item-!-187;#058&011114
In the xy-plane, what is the y-intercept of line [?]

[?]

[?]

175.	17390-!-item-!-187;#058&011123
The sum of the integers in list S is the same as the sum of the integers in list T.  Does S contain more integers than T ?

(1)  The average (arithmetic mean) of the integers in S is less than the average of the integers in T.

(2)  The median of the integers in S is greater than the median of the integers in T.

176.	17491-!-item-!-187;#058&011140
If x and y are positive integers, is the product xy even?

(1)  5x - 4y is even.

(2)  6x + 7y is even.

177.	17595-!-item-!-187;#058&011159
If x and y are positive integers, what is the value of xy ?

(1)  The greatest common factor of x and y is 10.

(2)  The least common multiple of x and y is 180.

178.	17649-!-item-!-187;#058&011192
If there are more than two numbers in a certain list, is each of the numbers in the list equal to 0 ?

(1)  The product of any two numbers in the list is equal to 0.

(2)  The sum of any two numbers in the list is equal to 0.

179.	17750-!-item-!-187;#058&011285
A manufacturer conducted a survey to determine how many people buy products P and Q.  What fraction of the people surveyed said that they buy neither product P nor product Q ?

[?]

[?]

180.	17851-!-item-!-187;#058&011342
Are x and y both positive?

[?]

[?]

181.	17908-!-item-!-187;#058&011358

[?]

In the figure shown, what is the value of x ?

(1)  The length of line segment QR is equal to the length of line segment RS.

(2)  The length of line segment ST is equal to the length of line segment TU.

182.	17963-!-item-!-187;#058&011379
In a certain year, the difference between Mary's and Jim's annual salaries was twice the difference between Mary's and Kate's annual salaries.  If Mary's annual salary was the highest of the 3 people, what was the average (arithmetic mean) annual salary of the 3 people that year?

(1)  Jim's annual salary was $30,000 that year.

(2)  Kate's annual salary was $40,000 that year.

183.	18017-!-item-!-187;#058&011390
The positive integers x, y, and z are such that x is a factor of y and y is a factor of z.  Is z even?

(1) xz is even.

(2) y is even.

184.	18071-!-item-!-187;#058&011405
Jack and Mark both received hourly wage increases of 6 percent.  After the wage increases, Jack's hourly wage was how many dollars per hour more than Mark's?

(1)  Before the wage increases, Jack's hourly wage was $5.00 per hour more than Mark's.

(2)  Before the wage increases, the ratio of Jack's hourly wage to Mark's hourly wage was 4 to 3.

185.	18511-!-item-!-187;#058&011604
Is x between 0 and 1 ?

[?]

[?]

186.	18566-!-item-!-187;#058&011610
If 0 < x < y, what is the value of   ?b

[?]

[?]

187.	18620-!-item-!-187;#058&011611
If x, y, and z are integers greater than 1, what is the value of x + y + z ?

[?]

[?]

188.	18674-!-item-!-187;#058&011626
Is p + pz = p ?

(1) p = 0

(2) z = 0

189.	18728-!-item-!-187;#058&011689
If the operation [?] is one of the four arithmetic operations addition, subtraction, multiplication, and division, is (6 [?] 2) [?] 4 = 6 [?] (2 [?] 4) ?

(1) 3 [?] 2 > 3

(2) 3 [?] 1 = 3

190.	18785-!-item-!-187;#058&011838

[?]

On the number line shown, is zero halfway between r and s ?

(1) s is to the right of zero.

(2) The distance between t and r is the same as the distance between t and -s.

191.	18839-!-item-!-187;#058&011851
If the product of the three digits of the positive integer k is 14, what is the value of k ?

(1) k is an odd integer.

(2) k < 700

192.	18939-!-item-!-187;#058&011984
Of the 75 houses in a certain community, 48 have a patio.  How many of the houses in the community have a swimming pool?

(1) 38 of the houses in the community have a patio but do not have a swimming pool.

(2) The number of houses in the community that have a patio and a swimming pool is equal to the number of houses in the community that have neither a swimming pool nor a patio.

193.	18993-!-item-!-187;#058&012050
The attendees at a certain convention purchased a total of 15,000 books.  How many of these attendees were female?

(1) There was a total of 4,000 attendees at the convention.

(2) The male attendees purchased an average (arithmetic mean) of 3 books each, and the female attendees purchased an average of 5 books each.

194.	19047-!-item-!-187;#058&012065
If x and y are positive integers, what is the value of x + y ?

(1)  (2^x)(3^y) = 72

(2)  (2^x)(2^y) = 32

195.	19101-!-item-!-187;#058&012103
What is the value of h ?

(1) h^2 = 36

(2) h^2 + 12h = -36

196.	19155-!-item-!-187;#058&012165
How many odd integers are greater than the integer x and less than the integer y ?

(1)  There are 12 even integers greater than x and less than y.

(2)  There are 24 integers greater than x and less than y.

197.	19209-!-item-!-187;#058&012193
Jason's salary and Karen's salary were each p percent greater in 1998 than in 1995.  What is the value of p ?

(1)  In 1995 Karen's salary was $2,000 greater than Jason's.

(2)  In 1998 Karen's salary was $2,440 greater than Jason's.

198.	19263-!-item-!-187;#058&012213
Did one of the 3 members of a certain team sell at least 2 raffle tickets yesterday?

(1)  The 3 members sold a total of 6 raffle tickets yesterday.

(2)  No 2 of the members sold the same number of raffle tickets yesterday.

199.	19366-!-item-!-187;#058&012225
If s and t are two different numbers on the number line, is s + t equal to 0 ?

(1)  The distance between s and 0 is the same as the distance between t and 0.

(2)  0 is between s and t.

200.	19420-!-item-!-187;#058&012241
Of the 1,000 companies responding to a certain survey, what percent indicated that they had a business recovery plan?

(1) 200 of the companies did not indicate that they had a business recovery plan.

(2) The number of companies that indicated that they had a business recovery plan was 4 times the number that did not indicate that they had a business recovery plan.

201.	19474-!-item-!-187;#058&012274
Martha bought an armchair and a coffee table at an auction and sold both items at her store.  Her gross profit from the purchase and sale of the armchair was what percent greater than her gross profit from the purchase and sale of the coffee table?

(1)  Martha paid 10 percent more for the armchair than for the coffee table.

(2)  Martha sold the armchair for 20 percent more than she sold the coffee table.

202.	19528-!-item-!-187;#058&012279
Each employee of Company Z is an employee of either Division X or Division Y, but not both.  If each division has some part-time employees, is the ratio of the number of full-time employees to the number of part-time employees greater for Division X than for Company Z ?

(1) The ratio of the number of full-time employees to the number of part-time employees is less for Division Y than for Company Z.

(2) More than half of the full-time employees of Company Z are employees of Division X, and more than half of the part-time employees of Company Z are employees of Division Y.

203.	19582-!-item-!-187;#058&012370
What is the remainder when the positive integer x is divided by 6?

(1)  When x is divided by 2, the remainder is 1; and when x is divided by 3, the remainder is 0.

(2)  When x is divided by 12, the remainder is 3.

204.	19682-!-item-!-187;#058&012407
On a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 2.  What was the number of men on the sight-seeing tour?

(1)  On the sight-seeing tour, the ratio of the number of children to the number of men was 5 to 11.

(2)  The number of women on the sight-seeing tour was less than 30.

205.	19736-!-item-!-187;#058&012415
Ellen can purchase a certain computer at a local store at the price of p dollars and pay a 6 percent sales tax.  Alternatively, Ellen can purchase the same computer from a catalog for a total of q dollars, including all taxes and shipping costs.  Will it cost more for Ellen to purchase the computer from the local store than from the catalog?

(1) q - p < 50

(2) [?]

206.	19977-!-item-!-187;#058&012599
If p is a positive integer, what is the value of p ?

[?]

[?]

207.	20123-!-item-!-187;#058&012633
Is y < 2x ?

[?]

[?]

208.	20177-!-item-!-187;#058&012683
Is x > y ?

(1) x + y < 0

(2) x - y > 0

209.	20231-!-item-!-187;#058&012732
For each month of next year, Company R's monthly revenue target is x dollars greater than its monthly revenue target for the preceding month.  What is Company R's revenue target for March of next year?

(1)  Company R's revenue target for December of next year is $310,000.

(2)  Company R's revenue target for September of next year is $30,000 greater than its revenue target for June of next year.

210.	20285-!-item-!-187;#058&012741
Is m + z > 0 ?

(1) m - 3z > 0

(2)  4z - m > 0

211.	20437-!-item-!-187;#058&012817
If k is a positive integer, then 20k is divisible by how many different positive integers?

(1) k is prime.

(2) k = 7

212.	20491-!-item-!-187;#058&012823
This morning, a certain sugar container was full.  Since then some of the sugar from this container was used to make cookies.  If no other sugar was removed from or added to the container, by what percent did the amount of sugar in the container decrease?

(1) The amount of sugar in the container after making the cookies would need to be increased by 30 percent to fill the container.

(2) Six cups of sugar from the container were used to make the cookies.

213.	20735-!-item-!-187;#058&013187
If a and b are positive numbers, what are the coordinates of the midpoint of line segment CD in the xy-plane?

(1)  The coordinates of C are (a, 1 - b).

(2)  The coordinates of D are (1 - a, b).

214.	20789-!-item-!-187;#058&013258
The cost of a square slab is proportional to its thickness and also proportional to the square of its length.  What is the cost of a square slab that is 3 meters long and 0.1 meter thick?

(1) The cost of a square slab that is 2 meters long and 0.2 meter thick is $160 more than the cost of a square slab that is 2 meters long and 0.1 meter thick.

(2) The cost of a square slab that is 3 meters long and 0.1 meter thick is $200 more than the cost of a square slab that is 2 meters long and 0.1 meter thick.

215.	20843-!-item-!-187;#058&013306
If Bob produces 36 or fewer items in a week, he is paid x dollars per item.  If Bob produces more than 36 items in a week, he is paid x dollars per item for the first 36 items and 1.5 times that amount for each additional item.  How many items did Bob produce last week?

(1) Last week Bob was paid a total of $480 for the items that he produced that week.

(2) This week Bob produced 2 items more than last week and was paid a total of $510 for the items that he produced this week.

216.	20897-!-item-!-187;#058&013307
Is x < y ?

(1) 2x < 3y

(2) xy > 0

217.	21093-!-item-!-187;#058&013542

a1 , a2 , a3 , . . . , a15

In the sequence shown, an = an - 1 + k, where 2  [?] n  [?] 15 and k is a nonzero constant.  How many of the terms in the sequence are greater than 10 ?

(1) a1 = 24

(2) [?]

218.	21147-!-item-!-187;#058&013552
Is 4z > -6 ?

(1) z < 7

(2) z > -1

Practice Test 1 Data Sufficiency Keys:
   
  1. C	86-!-item-!-187;#058&000002
  2. D	142-!-item-!-187;#058&000140
  3. B	196-!-item-!-187;#058&000141
  4. D	250-!-item-!-187;#058&000160
  5. E	304-!-item-!-187;#058&000163

  6. E	363-!-item-!-187;#058&000183
  7. C	509-!-item-!-187;#058&000355
  8. B	563-!-item-!-187;#058&000364
  9. A	617-!-item-!-187;#058&000483
 10. C	719-!-item-!-187;#058&000515

 11. D	959-!-item-!-187;#058&000583
 12. E	1013-!-item-!-187;#058&000609
 13. B	1067-!-item-!-187;#058&000618
 14. E	1121-!-item-!-187;#058&000619
 15. D	1175-!-item-!-187;#058&000621

 16. C	1275-!-item-!-187;#058&000656
 17. E	1329-!-item-!-187;#058&000662
 18. E	1383-!-item-!-187;#058&000675
 19. B	1437-!-item-!-187;#058&000677
 20. B	1491-!-item-!-187;#058&000755

 21. E	1545-!-item-!-187;#058&000766
 22. B	1599-!-item-!-187;#058&000810
 23. B	1653-!-item-!-187;#058&000843
 24. A	1952-!-item-!-187;#058&002488
 25. B	2055-!-item-!-187;#058&002563

 26. D	2109-!-item-!-187;#058&002567
 27. E	2260-!-item-!-187;#058&002626
 28. E	2365-!-item-!-187;#058&002728
 29. D	2517-!-item-!-187;#058&002771
 30. E	2663-!-item-!-187;#058&002855

 31. C	2764-!-item-!-187;#058&002889
 32. E	2818-!-item-!-187;#058&002974
 33. B	2873-!-item-!-187;#058&002998
 34. A	2927-!-item-!-187;#058&003024
 35. E	3076-!-item-!-187;#058&003114

 36. D	3130-!-item-!-187;#058&003116
 37. C	3184-!-item-!-187;#058&003224
 38. A	3481-!-item-!-187;#058&003324
 39. C	3582-!-item-!-187;#058&003470
 40. E	3636-!-item-!-187;#058&003488

 41. E	3690-!-item-!-187;#058&003497
 42. C	3744-!-item-!-187;#058&003565
 43. E	3798-!-item-!-187;#058&003572
 44. C	3852-!-item-!-187;#058&003578
 45. E	3906-!-item-!-187;#058&003579

 46. C	3960-!-item-!-187;#058&003582
 47. B	4068-!-item-!-187;#058&003673
 48. C	4122-!-item-!-187;#058&003746
 49. C	4176-!-item-!-187;#058&003769
 50. C	4230-!-item-!-187;#058&003784

 51. E	4284-!-item-!-187;#058&003822
 52. C	4338-!-item-!-187;#058&003827
 53. A	4392-!-item-!-187;#058&003851
 54. B	4538-!-item-!-187;#058&004024
 55. C	4687-!-item-!-187;#058&004202

 56. A	4741-!-item-!-187;#058&004206
 57. C	4795-!-item-!-187;#058&004223
 58. D	4895-!-item-!-187;#058&004290
 59. C	4950-!-item-!-187;#058&004329
 60. B	5054-!-item-!-187;#058&004422

 61. C	5157-!-item-!-187;#058&004472
 62. A	5212-!-item-!-187;#058&004501
 63. B	5266-!-item-!-187;#058&004544
 64. B	5320-!-item-!-187;#058&004563
 65. A	5374-!-item-!-187;#058&004565

 66. D	5428-!-item-!-187;#058&004588
 67. E	5482-!-item-!-187;#058&004634
 68. B	5536-!-item-!-187;#058&004638
 69. A	5825-!-item-!-187;#058&004737
 70. C	6067-!-item-!-187;#058&004849

 71. A	6125-!-item-!-187;#058&004856
 72. E	6179-!-item-!-187;#058&004900
 73. D	6279-!-item-!-187;#058&004943
 74. B	6333-!-item-!-187;#058&004944
 75. E	6387-!-item-!-187;#058&004958

 76. B	6441-!-item-!-187;#058&005031
 77. B	6741-!-item-!-187;#058&005163
 78. C	6841-!-item-!-187;#058&005248
 79. C	6946-!-item-!-187;#058&005390
 80. A	7243-!-item-!-187;#058&005480

 81. B	7301-!-item-!-187;#058&005482
 82. A	7356-!-item-!-187;#058&005489
 83. D	7463-!-item-!-187;#058&005565
 84. D	7517-!-item-!-187;#058&005572
 85. B	7713-!-item-!-187;#058&005641

 86. E	7767-!-item-!-187;#058&005660
 87. C	7824-!-item-!-187;#058&005664
 88. C	8066-!-item-!-187;#058&005745
 89. B	8212-!-item-!-187;#058&005846
 90. D	8266-!-item-!-187;#058&005947

 91. B	8417-!-item-!-187;#058&005991
 92. A	8471-!-item-!-187;#058&005997
 93. B	8525-!-item-!-187;#058&006006
 94. C	8579-!-item-!-187;#058&006012
 95. A	8634-!-item-!-187;#058&006039

 96. A	8688-!-item-!-187;#058&006049
 97. B	8745-!-item-!-187;#058&006054
 98. B	8799-!-item-!-187;#058&006082
 99. C	9270-!-item-!-187;#058&006322
100. A	9327-!-item-!-187;#058&006480

101. B	9432-!-item-!-187;#058&006634
102. B	9486-!-item-!-187;#058&006637
103. C	9540-!-item-!-187;#058&006638
104. A	9643-!-item-!-187;#058&006681
105. C	9789-!-item-!-187;#058&006817

106. E	9843-!-item-!-187;#058&006850
107. D	9897-!-item-!-187;#058&006904
108. B	10385-!-item-!-187;#058&007204
109. A	10439-!-item-!-187;#058&007237
110. C	10493-!-item-!-187;#058&007240

111. E	10884-!-item-!-187;#058&007442
112. C	11176-!-item-!-187;#058&007606
113. A	11760-!-item-!-187;#058&007855
114. A	11816-!-item-!-187;#058&007868
115. A	11870-!-item-!-187;#058&007880

116. D	11924-!-item-!-187;#058&007881
117. E	11978-!-item-!-187;#058&007947
118. C	12032-!-item-!-187;#058&007948
119. D	12086-!-item-!-187;#058&008079
120. E	12140-!-item-!-187;#058&008146

121. B	12194-!-item-!-187;#058&008148
122. B	12343-!-item-!-187;#058&008383
123. B	12586-!-item-!-187;#058&008871
124. D	12829-!-item-!-187;#058&008976
125. D	12932-!-item-!-187;#058&009020

126. E	13035-!-item-!-187;#058&009047
127. A	13089-!-item-!-187;#058&009187
128. E	13143-!-item-!-187;#058&009201
129. A	13198-!-item-!-187;#058&009205
130. C	13252-!-item-!-187;#058&009207

131. D	13306-!-item-!-187;#058&009213
132. C	13360-!-item-!-187;#058&009215
133. B	13609-!-item-!-187;#058&009567
134. C	13755-!-item-!-187;#058&009724
135. C	13860-!-item-!-187;#058&009754

136. A	13960-!-item-!-187;#058&009782
137. D	14062-!-item-!-187;#058&009802
138. C	14162-!-item-!-187;#058&009822
139. E	14263-!-item-!-187;#058&009908
140. D	14319-!-item-!-187;#058&009938

141. E	14373-!-item-!-187;#058&009939
142. D	14473-!-item-!-187;#058&010003
143. D	14534-!-item-!-187;#058&010011
144. A	14635-!-item-!-187;#058&010061
145. C	14689-!-item-!-187;#058&010088

146. B	14746-!-item-!-187;#058&010097
147. C	14800-!-item-!-187;#058&010134
148. C	14854-!-item-!-187;#058&010192
149. B	14908-!-item-!-187;#058&010196
150. C	15103-!-item-!-187;#058&010253

151. D	15157-!-item-!-187;#058&010256
152. C	15303-!-item-!-187;#058&010299
153. C	15354-!-item-!-187;#058&010304
154. D	15408-!-item-!-187;#058&010332
155. D	15462-!-item-!-187;#058&010358

156. D	15516-!-item-!-187;#058&010359
157. A	15663-!-item-!-187;#058&010465
158. E	15810-!-item-!-187;#058&010518
159. C	15957-!-item-!-187;#058&010660
160. E	16057-!-item-!-187;#058&010664

161. D	16203-!-item-!-187;#058&010722
162. C	16257-!-item-!-187;#058&010730
163. E	16312-!-item-!-187;#058&010731
164. E	16412-!-item-!-187;#058&010774
165. A	16466-!-item-!-187;#058&010795

166. D	16522-!-item-!-187;#058&010838
167. A	16626-!-item-!-187;#058&010859
168. E	16680-!-item-!-187;#058&010861
169. B	16735-!-item-!-187;#058&010875
170. B	16927-!-item-!-187;#058&010946

171. B	16981-!-item-!-187;#058&010960
172. C	17130-!-item-!-187;#058&011022
173. D	17281-!-item-!-187;#058&011070
174. E	17336-!-item-!-187;#058&011114
175. A	17390-!-item-!-187;#058&011123

176. D	17491-!-item-!-187;#058&011140
177. C	17595-!-item-!-187;#058&011159
178. B	17649-!-item-!-187;#058&011192
179. C	17750-!-item-!-187;#058&011285
180. C	17851-!-item-!-187;#058&011342

181. C	17908-!-item-!-187;#058&011358
182. B	17963-!-item-!-187;#058&011379
183. D	18017-!-item-!-187;#058&011390
184. A	18071-!-item-!-187;#058&011405
185. B	18511-!-item-!-187;#058&011604

186. A	18566-!-item-!-187;#058&011610
187. A	18620-!-item-!-187;#058&011611
188. D	18674-!-item-!-187;#058&011626
189. A	18728-!-item-!-187;#058&011689
190. C	18785-!-item-!-187;#058&011838

191. E	18839-!-item-!-187;#058&011851
192. B	18939-!-item-!-187;#058&011984
193. C	18993-!-item-!-187;#058&012050
194. D	19047-!-item-!-187;#058&012065
195. B	19101-!-item-!-187;#058&012103

196. B	19155-!-item-!-187;#058&012165
197. C	19209-!-item-!-187;#058&012193
198. D	19263-!-item-!-187;#058&012213
199. A	19366-!-item-!-187;#058&012225
200. D	19420-!-item-!-187;#058&012241

201. E	19474-!-item-!-187;#058&012274
202. D	19528-!-item-!-187;#058&012279
203. D	19582-!-item-!-187;#058&012370
204. C	19682-!-item-!-187;#058&012407
205. C	19736-!-item-!-187;#058&012415

206. C	19977-!-item-!-187;#058&012599
207. D	20123-!-item-!-187;#058&012633
208. B	20177-!-item-!-187;#058&012683
209. C	20231-!-item-!-187;#058&012732
210. C	20285-!-item-!-187;#058&012741

211. B	20437-!-item-!-187;#058&012817
212. A	20491-!-item-!-187;#058&012823
213. C	20735-!-item-!-187;#058&013187
214. D	20789-!-item-!-187;#058&013258
215. E	20843-!-item-!-187;#058&013306

216. E	20897-!-item-!-187;#058&013307
217. B	21093-!-item-!-187;#058&013542
218. B	21147-!-item-!-187;#058&013552