Practice Test #2 Problem Solving
(197 Questions)

1.	246-!-item-!-187;#058&000117
Tanya prepared 4 different letters to be sent to 4 different addresses.  For each letter, she prepared an envelope with its correct address.  If the 4 letters are to be put into the 4 envelopes at random, what is the probability that only 1 letter will be put into the envelope with its correct address?

(A)  
(B)  
(C)  
(D)  
(E)  

2.	509-!-item-!-187;#058&000281
For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100.  How much greater are the total shipping fees for
2 orders of $75 each than the total shipping fee for 1 order of $150 ?

(A) $1
(B) $2
(C) $3
(D) $4
(E) $5

3.	827-!-item-!-187;#058&000411
A copy service charges $0.05 per copy for the first 100 copies, $0.04 per copy for the next 100 copies, and $0.03 per copy for all copies thereafter.  What would the copy service charge for 350 copies?

(A) $10.50
(B) $11.50
(C) $12.00
(D) $13.00
(E) $13.50

4.	1197-!-item-!-187;#058&000782
If w, x, and y are consecutive odd positive integers and w < x < y, which of the following could be equal to y - x - w ?

(A) -4
(B) -2
(C) -1
(D) 0
(E) 3

5.	1353-!-item-!-187;#058&000886
Working alone at its own constant rate, a machine seals k cartons in 8 hours, and working alone at its own constant rate, a second machine seals k cartons in 4 hours.  If the two machines, each working at its own constant rate and for the same period of time, together sealed a certain number of cartons, what percent of the cartons were sealed by the machine working at the faster rate?

(A) 25%
(B) 
(C) 50%
(D)
(E) 75%

6.	1456-!-item-!-187;#058&000991
[?]

If w, x, y, and z are numbers on the number line shown, which of the following products is least?

(A) wy
(B) wz
(C) xy
(D) xz
(E) yz

7.	1502-!-item-!-187;#058&001086
A certain telephone company offers two plans, A and B.  Under plan A, the company charges a total of $0.60 for the first 7 minutes of each call and $0.06 per minute thereafter.  Under plan B, the company charges $0.08 per minute of each call.  What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B ?

(A) 2
(B) 9
(C) 15
(D) 21
(E) 30

8.	1608-!-item-!-187;#058&001224
In the xy-plane, each point on circle K has nonnegative coordinates and the center of K is the point (4, 7).  What is the maximum possible area of K ?

(A)  
(B)  
(C)  
(D)  
(E)  

9.	1662-!-item-!-187;#058&002391
Equal amounts of water were poured into two empty jars of different capacities, which made one jar   full and the other jar   full.  If the water in the jar with the lesser capacity is then poured into the jar with the greater capacity, what fraction of the larger jar will be filled with water?

(A)  
(B)  
(C)  
(D)  
(E)  

10.	1708-!-item-!-187;#058&002411
A pair of shoes is on sale for $60.  If this price is 20 percent less than the regular price of the shoes, what is the regular price of the shoes?

(A)  $72
(B)  $75
(C)  $80
(D)  $96
(E)  $108

11.	1971-!-item-!-187;#058&002527
Which of the following lists the number of points at which a circle can intersect a triangle?

(A) 2 and 6 only
(B) 2, 4, and 6 only
(C) 1, 2, 3, and 6 only
(D) 1, 2, 3, 4, and 6 only
(E) 1, 2, 3, 4, 5, and 6

12.	2238-!-item-!-187;#058&002618
[?]
If the two regions above have the same area, what is the ratio t : s ?

(A) 2 : 3
(B) 16 : 3
(C)  
(D)  
(E)  

13.	2392-!-item-!-187;#058&002762
[?]: line missed

(A) A certain list of 100 data has an average (arithmetic mean) of 6 and a standard deviation of d, where d is positive.  Which of the following pairs of data, when added to the list, must result in a list of 102 data with standard deviation less than d ?
(B) 0 and 0
(C) 0 and 6
(D) 0 and 12
(E) 6 and 6

14.	2546-!-item-!-187;#058&002908
If Sally drives at a constant speed of 50 miles per hour, how many minutes will be required for her to drive 10 miles?

(A) 9
(B) 10
(C) 11
(D) 12
(E) 13

15.	2647-!-item-!-187;#058&002944
If a = 1 and  [?], which of the following is NOT a possible value of b ?

(A)  -2
(B)  -1
(C)  0
(D)  1
(E)  2

16.	2698-!-item-!-187;#058&002953
[?]
  
All points (x, y) that lie below the line l, shown above, satisfy which of the following inequalities?

(A) y < 2x + 3
(B) y < -2x + 3
(C) y < -x + 3
(D)
(E)

17.	2747-!-item-!-187;#058&002959
[?]

On the number line above, what is the length of segment AB ?

(A) 2.2
(B) 0.38
(C) 0.22
(D) 0.038
(E) 0.022

18.	2793-!-item-!-187;#058&002984
After a fisherman sold [?] of the fish he had caught and gave away [?] of the remaining fish, he had 4 fish left.  What was the total number of fish he had caught? 

(A)  8
(B) 16
(C) 20
(D) 32
(E) 40

19.	2896-!-item-!-187;#058&003100
[?]

For each country listed in the left column of the table, the number in the right column gives the number of units of Country X currency that is equivalent to 1 unit of the country's currency.  Which of the following is equivalent to the greatest number of units of Country X currency?

(A)  4 units of Country A currency
(B) 25 units of Country B currency
(C)  98 units of Country C currency
(D)   3 units of Country D currency
(E)   7 units of Country E currency

20.	2942-!-item-!-187;#058&003104
For any positive integer n, the length of n is defined as the number of prime factors whose product is n.  For example, the length of 75 is 3, since 75 = 3 ?? 5 ?? 5.  How many two-digit positive integers have length 6 ?

(A) None
(B) One
(C) Two
(D) Three
(E) Four

21.	2988-!-item-!-187;#058&003110
A company wants to buy computers and printers for a new branch office, and the number of computers can be at most 3 times the number of printers.  Computers cost $1,500 each, and printers cost $300 each.  What is the greatest number of computers that the company can buy if it has a total of $9,100 to spend on computers and printers?

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

22.	3254-!-item-!-187;#058&003229
If  [?], then N is between

(A) 0 and  
(B)   and  
(C)   and  
(D)   and  
(E)   and 2

23.	3470-!-item-!-187;#058&003305
240, 120, 60, 30, . . .

In the sequence above, each term after the first is ½ of the preceding term.  What is the least term of the sequence that is greater than 1 ?

(A)  
(B)  
(C)  
(D)  
(E)  

24.	3573-!-item-!-187;#058&003330
A box contains 25 red blocks, 100 blue blocks, and 175 yellow blocks.  What is the probability that a block picked at random from the box will be red?

(A)  
(B)  
(C)  
(D)  
(E)  

25.	3619-!-item-!-187;#058&003382
A fast-food company plans to build 4 new restaurants.  If there are 12 sites that satisfy the company's criteria for location of new restaurants, in how many different ways can the company select the 4 sites needed for the new restaurants if the order of selection does not matter?

(A)  48
(B)  288
(C)  495
(D)  990
(E)  11,880

26.	3669-!-item-!-187;#058&003387
If x is an even integer, which of the following must be an odd integer?

(A)  
(B)  
(C) 3x^2
(D)  
(E)  

27.	3721-!-item-!-187;#058&003433
[?]

The figure shown represents a board with four rows of pegs, and at the bottom of the board are four cells numbered 1 to 4.  Whenever the ball shown passes through the opening between two adjacent pegs in the same row, it will hit the peg directly beneath the opening.  The ball then has probability   of passing through the opening immediately to the left of that peg and probability   of passing through the opening immediately to the right.  What is the probability that when the ball passes through the first two pegs at the top it will end up in cell 2 ?

(A)  
(B)  
(C)  
(D)  
(E)  

28.	3770-!-item-!-187;#058&003486
What is the greatest possible area of a triangular region with one vertex at the center of a circle of radius 1 and the other two vertices on the circle?

(A)  
(B)  
(C)  
(D) 1
(E)  

29.	3873-!-item-!-187;#058&003594
If n denotes a number to the left of 0 on the number line such that the square of n is less than  1/100, then the reciprocal of n must be

(A) less than -10
(B) between -1 and  
(C) between   and 0
(D) between 0 and  
(E) greater than 10

30.	4244-!-item-!-187;#058&003828
An investor purchased 20 shares of a certain stock at a price of $45.75 per share.  Later this investor purchased 30 more shares at a price of $46.25 per share.  What was the average (arithmetic mean) price per share that this investor paid for the 50 shares?

(A) $45.80
(B) $45.95
(C) $46.00
(D) $46.05
(E) $46.20

31.	4295-!-item-!-187;#058&003848
A certain basket contains 10 apples, 7 of which are red and 3 of which are green.  If 3 different apples are to be selected at random from the basket, what is the probability that 2 of the apples selected will be red and 1 will be green?

(A)  
(B)  
(C)  
(D)  
(E)  

32.	4504-!-item-!-187;#058&003922
[?]

When N is divided by T, the quotient is S and the remainder is V.  Which of the following expressions is equal to N ?

(A) ST
(B) S + V
(C) ST + V
(D) T(S - V)
(E)

33.	4550-!-item-!-187;#058&003924
What is the number of different committees of 4 people that can be selected from a group of 10 people?

(A)  20
(B)  40
(C)  80
(D)  120
(E)  210

34.	4707-!-item-!-187;#058&003966
[?]

The table shows the numbers of greeting cards for various occasions sold at a certain store last year.  According to the table, for which of the following occasions was the number of cards sold closest to [?] of the number of birthday cards sold?

(A) Valentine's Day
(B) Secretary's Day
(C) Mother's Day
(D) Father's Day
(E)

35.	4808-!-item-!-187;#058&003979
If the operation @ is defined for all positive integers x and w by x @ w = [?] , then (3 @ 1) @ 3 =

(A)  2
(B)  4
(C)  8
(D) 16
(E) 32

36.	5018-!-item-!-187;#058&004104
If x = kc and y = kt, then y - x =

(A) k(t - c)
(B) k(c - t)
(C) c(k - t)
(D) t(k - c)
(E) k(1 - t)

37.	5174-!-item-!-187;#058&004144
The function f is defined for all positive integers n by the following rule:  f(n) is the number of positive integers each of which is less than n and has no positive factor in common with n other than 1.  If p is any prime number then f(p) =

(A) p - 1
(B) p - 2
(C)  
(D)  
(E) 2

38.	5275-!-item-!-187;#058&004179
A certain business produced x rakes each month from November through February and shipped 0.5x rakes at the beginning of each month from March through October.  The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.10 per rake each month from March through October for the rakes that had not been shipped.  In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months from November through October?

(A) 0.40x
(B) 1.20x
(C) 1.40x
(D) 1.60x
(E) 3.20x

39.	5378-!-item-!-187;#058&004220
[?]
The table shows the number of calls received by each of five operators during each of 4 one-hour periods.  For which operator was the standard deviation of the numbers of calls received during these 4 periods the least?

(A) Operator A
(B) Operator B
(C) Operator C
(D) Operator D
(E) Operator E

40.	5532-!-item-!-187;#058&004320
A certain company sold 1,000 blenders at $100 each and 10 stoves at $1,000 each.  If the company's total cost for the blenders and stoves was $50,000, what was the company's total gross profit on these items?

(A) $10,000
(B) $20,000
(C) $30,000
(D) $50,000
(E) $60,000

41.	5689-!-item-!-187;#058&004421
In the infinite sequence a1, a2, a3, . . . , an, . . . , each term after the first is equal to twice the previous term.  If a5 - a2 = 12, what is the value of a1 ?

(A) 4
(B)  
(C) 2
(D)  
(E)  

42.	5737-!-item-!-187;#058&004537
(-3)^(-2) =

(A) - 9
(B)  -6
(C)  
(D)  
(E)  9

43.	5837-!-item-!-187;#058&004612
A college admissions officer predicts that 20 percent of the students who are accepted will not attend the college.  According to this prediction, how many students should be accepted to achieve a planned enrollment of x students?

(A) 1.05x
(B) 1.1x
(C) 1.2x
(D) 1.25x
(E) 1.8x

44.	5884-!-item-!-187;#058&004663
The arithmetic mean and standard deviation of a certain normal distribution are 13.5 and 1.5, respectively.  What value is exactly 2 standard deviations less than the mean?

(A) 10.5
(B)  11.0
(C)  11.5
(D) 12.0
(E) 12.5

45.	5933-!-item-!-187;#058&004664
If a certain wheel turns at a constant rate of x revolutions per minute, how many revolutions will the wheel make in k seconds?

(A) 60kx
(B) kx
(C)  
(D)  
(E)  

46.	5979-!-item-!-187;#058&004694
If a coin has an equal probability of landing heads up or tails up each time it is flipped, what is the probability that the coin will land heads up exactly twice in 3 consecutive flips?

(A) 0.125
(B) 0.25
(C) 0.375
(D) 0.50
(E) 0.666

47.	6025-!-item-!-187;#058&004767
A certain bakery has 6 employees.  It pays annual salaries of $14,000 to each of 2 employees, $16,000 to 1 employee, and $17,000 to each of the remaining 3 employees.  The average (arithmetic mean) annual salary of these employees is closest to which of the following?

(A) $15,200
(B) $15,500
(C) $15,800
(D) $16,000
(E) $16,400

48.	6071-!-item-!-187;#058&004779
If x is equal to the sum of the even integers from 40 to 60, inclusive, and y is the number of even integers from 40 to 60, inclusive, what is the value of x + y ?

(A) 550
(B) 551
(C) 560
(D) 561
(E) 572

49.	6121-!-item-!-187;#058&004785
If two of the four expressions x + y, x + 5y, x - y, and 5x - y are chosen at random, what is the probability that their product will be of the form of x^2 - (by)^2, where b is an integer?

(A)  
(B)  
(C)  
(D)  
(E)  

50.	6173-!-item-!-187;#058&004786
If [?], what is the value of n ?

(A)  
(B)  
(C)  
(D)  
(E)  

51.	6219-!-item-!-187;#058&004789
Which of the following is equal to the average (arithmetic mean) of (x + 2)^2 and (x - 2)^2 ?

(A) x^2
(B) x^2 + 2
(C) x^2 + 4
(D) x^2 + 2x
(E) x^2 + 4x

52.	6267-!-item-!-187;#058&004794
If x < 0, then [?] is

(A) -x
(B) -1
(C)  1
(D) x
(E)  

53.	6313-!-item-!-187;#058&004799
During a car trip, Maria stopped to rest after she traveled [?] of the total distance to her destination.  She stopped again after she traveled   of the distance remaining between her first stop and her destination, and then she drove the remaining 120 miles to her destination.  What was the total distance, in miles, from Maria's starting point to her destination?

(A) 280
(B) 320
(C) 360
(D) 420
(E) 480

54.	6364-!-item-!-187;#058&004806
P, Q, and R are located in a flat region of a certain state.  Q is x miles due east of P and y miles due north of R.  Each pair of points is connected by a straight road.  What is the number of hours needed to drive from Q to R and then from R to P at a constant rate of z miles per hour, in terms of x, y, and z ?  (Assume x, y, and z are positive.)

(A)  
(B)  
(C)  
(D)  
(E)  

55.	6410-!-item-!-187;#058&004809
The 15 homes in a new development are each to be sold for one of three different prices so that the developer receives an average (arithmetic mean) of $200,000 per home.  If 4 of the homes are to be sold for $170,000 each and 5 are to be sold for $200,000 each, what will be the selling price of each of the remaining 6 homes?

(A) $200,000
(B) $210,000
(C) $215,000
(D) $220,000
(E) $230,000

56.	6461-!-item-!-187;#058&004810
To celebrate a colleague's retirement, the T coworkers in an office agreed to share equally the cost of a catered lunch.  If the lunch costs a total of x dollars and S of the coworkers fail to pay their share, which of the following represents the additional amount, in dollars, that each of the remaining coworkers would have to contribute so that the cost of the lunch is completely paid?

(A)  
(B)  
(C)  
(D)  
(E)  

57.	6510-!-item-!-187;#058&004845
[?]

At the end of each year, a certain credit card company pays a bonus to each of its credit card holders based on the amount, up to $10,000, that the cardholder charged throughout the year.  A 0.5 percent bonus is paid on the first $1,000 charged, a 1.0 percent bonus is paid on the next $2,000 charged and so on, as indicated in the table above.  What is the maximum annual bonus, in dollars?

(A) $100
(B) $150
(C) $200
(D) $250
(E) $500

58.	6618-!-item-!-187;#058&004870
[?]

If p, q, r, and s are as shown on the number line above, which of the following products is greatest?

(A)  
(B)  
(C)  
(D)  
(E)  

59.	6664-!-item-!-187;#058&004887
The cost of picture frame M is $10.00 less than 3 times the cost of picture frame N.  If the cost of frame M is $50.00, what is the cost of frame N ?

(A) $13.33
(B) $16.66
(C) $20.00
(D) $26.66
(E) $40.00

60.	6711-!-item-!-187;#058&004926
The value of [?] is

(A) between -9 and -10
(B) between -8 and -9
(C) between -4 and -5
(D) between -3 and -4
(E) undefined

61.	6814-!-item-!-187;#058&004969
[?]

A computer chip manufacturer expects the ratio of the number of defective chips to the total number of chips in all future shipments to equal the corresponding ratio for shipments S1, S2, S3, and S4 combined, as shown in the table above.  What is the expected number of defective chips in a shipment of 60,000 chips?

(A) 14
(B) 20
(C) 22
(D) 24
(E) 25

62.	7185-!-item-!-187;#058&005078
In a certain furniture store, each week Nancy earns a salary of $240 plus 5 percent of the amount of her total sales that exceeds $800 for the week.  If Nancy earned a total of $450 one week, what were her total sales that week?

(A) $2,200
(B) $3,450
(C) $4,200
(D) $4,250
(E) $5,000

63.	7231-!-item-!-187;#058&005082
The sum of the first 50 positive even integers is 2,550.  What is the sum of the even integers from 102 to 200, inclusive?

(A)  5,100
(B)  7,550
(C)  10,100
(D)  15,500
(E)  20,100

64.	7285-!-item-!-187;#058&005104
[?]

A certain bank uses the formula above to approximate the annual percentage rate R of a monthly installment loan.  Which of the following is an equivalent form of the formula?

(A)  
(B)  
(C)  
(D)  
(E)  

65.	7385-!-item-!-187;#058&005343
A salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100.  If the sale price of each machine was $10,000 and the salesperson received a $36,000 commission, how many machines did she sell?

(A)  90
(B)  103
(C)  105
(D)  115
(E)  120

66.	7431-!-item-!-187;#058&005458
From a group of 21 astronauts that includes 12 people with previous experience in space flight, a 3-person crew is to be selected so that exactly 1 person in the crew has previous experience in space flight.  How many different crews of this type are possible?

(A)  432
(B)  594
(C)  864
(D)  1,330
(E)  7,980

67.	7481-!-item-!-187;#058&005467
S represents the sum of the weights of n fish in pounds.  Which of the following represents the average (arithmetic mean) of the n weights in ounces? (1 pound = 16 ounces)

(A) 16nS
(B)  
(C)  
(D)  
(E)  

68.	7638-!-item-!-187;#058&005506
In a certain bathtub, both the cold-water and the hot-water fixtures leak.  The cold-water leak alone would fill an empty bucket in c hours, and the hot-water leak alone would fill the same bucket in h hours, where c < h.  If both fixtures began to leak at the same time into the empty bucket at their respective constant rates and consequently it took t hours to fill the bucket, which of the following must be true?
   
[?]

(A) I only
(B) II only
(C) III only
(D) I and II
(E) I and III

69.	8008-!-item-!-187;#058&005955
If (2^x)(3^y) = 288, where x and y are positive integers, then [2^(x - 1)][3^(y - 2)] =

(A)  16
(B)  24
(C)  48
(D)  96
(E)  144

70.	8217-!-item-!-187;#058&006107
If 3^x - 3^(x - 1) = 162, then x(x - 1) =

(A) 12
(B) 16
(C) 20
(D) 30
(E) 81

71.	8372-!-item-!-187;#058&006254
For which of the following values of x is [?] NOT defined as a real number?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

72.	8421-!-item-!-187;#058&006278
[?]

(A)  1
(B)  
(C)  
(D)  18
(E) 20

73.	8467-!-item-!-187;#058&006379
The maximum temperatures, in degrees Fahrenheit, recorded in a city on 5 consecutive days were x + 3, 95, 87, x + 7, and x.  If the average (arithmetic mean) of these temperatures was 90 degrees Fahrenheit, what is the value of x ?

(A) 85
(B) 86
(C) 87
(D) 88
(E) 89

74.	8516-!-item-!-187;#058&006446
There are 15 slate rocks, 20 pumice rocks, and 10 granite rocks randomly distributed in a certain field.  If 2 rocks are to be chosen at random and without replacement, what is the probability that both rocks will be slate rocks?

(A)  
(B)  
(C)  
(D)  
(E)  

75.	8673-!-item-!-187;#058&006582
The y-intercept of a line [?] is 4.  If the slope of [?] is negative, which of the following could be the x-intercept of [?] ?

(A) I only
(B) II only
(C) III only
(D) I and II
(E) I and III

76.	8721-!-item-!-187;#058&006602
A hiker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at a constant rate of 20 miles per hour.  The cyclist stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate.  How many minutes must the cyclist wait until the hiker catches up?

(A)  
(B) 15
(C) 20
(D) 25
(E)  

77.	8876-!-item-!-187;#058&006751
A contest will consist of n questions, each of which is to be answered either "True" or "False." Anyone who answers all n questions correctly will be a winner.  What is the least value of n for which the probability is less than [?] that a person who randomly guesses the answer to each question will be a winner?

(A)  5
(B)  10
(C)  50
(D)  100
(E) 1,000

78.	9309-!-item-!-187;#058&006922
If  , then x =

(A) c2 + 
(B) c6 + 
(C) c9 + 
(D) c12 + 
(E) c18 + 

79.	9358-!-item-!-187;#058&006924
If ab is not 0, then a^(-1) + b^(-1)  =

(A) a + 
(B) -(a + b)
(C)  
(D)  
(E)  

80.	9407-!-item-!-187;#058&006938
If 0 < x < 1, which of the following inequalities must be true?
   
[?]

(A) None
(B) I only
(C) II only
(D) I and II only
(E) I, II, and III

81.	9454-!-item-!-187;#058&006950
If [?], what is the value of n ?

(A) -2
(B) -1
(C) 0
(D) 1
(E) 2

82.	9500-!-item-!-187;#058&006955
If (2^x)(2^y) = 8 and (9^x)(3^y) = 81, then (x, y) =

(A) (1, 2)
(B) (2, 1)
(C) (1, 1)
(D) (2, 2)
(E) (1, 3)

83.	9550-!-item-!-187;#058&006969
{-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10}
A number is to be selected at random from the set above.  What is the probability that the number selected will be a solution of the equation (x - 5)(x + 10)(2x - 5) = 0 ?

(A)  
(B)  
(C)  
(D)  
(E)  

84.	9603-!-item-!-187;#058&006986
For all numbers x such that x [?] 1, if g(x) is defined by  [?], then  

(A)  
(B)  
(C)  
(D)  
(E)  

85.	9649-!-item-!-187;#058&007038
Of the 800 employees of Company X, 70 percent have been with the company for at least ten years.  If y of these "long-term" members were to retire and no other employee changes were to occur, what value of y would reduce the percent of "long-term" employees in the company to 60 percent?

(A) 200
(B)  160
(C)  112
(D)  80
(E)  56

86.	9697-!-item-!-187;#058&007051
The ratio of the amount of Alex's fuel oil bill for the month of February to the amount of his fuel oil bill for the month of January was [?].  If the fuel oil bill for February had been $40 more, the corresponding ratio would have been  .  How much was Alex's fuel oil bill for January?

(A) $240
(B) $300
(C) $360
(D) $450
(E) $540

87.	9743-!-item-!-187;#058&007054
A television manufacturer produces 600 units of a certain model each month at a cost to the manufacturer of $90 per unit and all of the produced units are sold each month.  What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus the manufacturer's cost to produce) on the sales of these units will be at least $42,000 ?

(A) $110
(B) $120
(C) $140
(D) $160
(E) $180

88.	9789-!-item-!-187;#058&007104
In May Mrs. Lee's earnings were 60 percent of the Lee family's total income.  In June Mrs. Lee earned 20 percent more than in May.  If the rest of the family's income was the same both months, then, in June, Mrs. Lee's earnings were approximately what percent of the Lee family's total income?

(A) 64%
(B) 68%
(C) 72%
(D) 76%
(E) 80%

89.	9835-!-item-!-187;#058&007168
For one toss of a certain coin, the probability that the outcome is heads is 0.6.  If this coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times?

(A) (0.6)^5
(B) 2(0.6)^4
(C) 3(0.6)^4(0.4)
(D) 4(0.6)^4(0.4) + (0.6)^5
(E) 5(0.6)^4(0.4) + (0.6)^5

90.	10100-!-item-!-187;#058&007272
[?]
If [?] and [?] represent single digits in the correctly worked computation above, what is the value of [?] + [?] ?

(A)  7
(B)  9
(C)  10
(D)  11
(E)  13

91.	10146-!-item-!-187;#058&007291
A certain car averages 25 miles per gallon of gasoline when driven in the city and 40 miles per gallon when driven on the highway.  According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 50 miles on the highway?

(A) 28
(B) 30
(C) 33
(D) 36
(E) 38

92.	10192-!-item-!-187;#058&007298
On his drive to work, Leo listens to one of three radio stations, A, B, or C.  He first turns to A.  If A is playing a song he likes, he listens to it; if not, he turns to B.  If B is playing a song he likes, he listens to it; if not, he turns to C.  If C is playing a song he likes, he listens to it; if not, he turns off the radio.  For each station, the probability is 0.30 that at any given moment the station is playing a song Leo likes.  On his drive to work, what is the probability that Leo will hear a song he likes?

(A) 0.027
(B) 0.090
(C) 0.417
(D) 0.657
(E) 0.900

93.	10238-!-item-!-187;#058&007360
If $1,000 was invested at an annual interest rate of 5.6 percent compounded annually, which of the following represents the amount the investment was worth after 3 years?

(A) $1,000(1.056)(3)
(B) $1,000(3 + 1.056)
(C) $1,000[1 + 3(0.056)]
(D) $1,000[1 + (0.056)^3]
(E) $1,000(1.056)^3

94.	10284-!-item-!-187;#058&007376
A certain candy manufacturer reduced the weight of Candy Bar M by 20 percent but left the price unchanged.  What was the resulting percent increase in the price per ounce of Candy Bar M ?

(A)  5%
(B)  10%
(C)  15%
(D)  20%
(E)  25%

95.	10331-!-item-!-187;#058&007378
The total of Company C's assets in 1994 was 300 percent greater than the total in 1993, which in turn was 400 percent greater than the total in 1992.  If the total of Company C's assets in 1992 was N dollars, which of the following represents the total of Company C's assets, in dollars, in 1994 ?

(A)  7N
(B)  8N
(C)  9N
(D)  12N
(E)  20N

96.	10378-!-item-!-187;#058&007391
The contents of a certain box consist of 14 apples and 23 oranges.  How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples?

(A)  3
(B)  6
(C)  14
(D)  17
(E)  20

97.	10424-!-item-!-187;#058&007444
Each unit of a certain product costs a manufacturer $9 to produce.  The manufacturer sells the product in boxes of 50 units for $560 per box.  How many boxes of the product does the manufacturer need to sell to yield a profit of $110,000 ?

(A)  90
(B)  100
(C)  900
(D)  1,000
(E)  1,100

98.	10475-!-item-!-187;#058&007489
An athlete runs R miles in H hours, then rides a bicycle Q miles in the same number of hours.  Which of the following represents the athlete's average speed, in miles per hour, for these two activities combined?

(A)  
(B)  
(C)  
(D)  
(E)  

99.	10524-!-item-!-187;#058&007561
[?]

For the numbers on the number line above, which of the following statements is true?

(A) x + y > y
(B) xz > xy
(C) tz < z
(D) mu < 0
(E) tm > 0

100.	10681-!-item-!-187;#058&007619
2 + 2 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 =

(A) 2^9
(B) 2^10
(C) 2^16
(D) 2^35
(E) 2^37

101.	10730-!-item-!-187;#058&007650
[?]
The table above shows the amount of waste material, in tons, recycled by each of five counties in a single year and the amount of waste material, also in tons, that was disposed of in landfills by the five counties in that year.  Which county had the lowest ratio of waste material disposed of to waste material recycled in the year reported in the table?

(A) A
(B) B
(C) C
(D) D
(E) E

102.	10776-!-item-!-187;#058&007653
A certain store found that last year the average (arithmetic mean) monthly sales from January through October was $120,000.  In November and December, the monthly sales were 3 and 5 times, respectively, the average for the other 10 months.  What was the store's average monthly sales last year?

(A) $180,000
(B) $216,000
(C) $252,000
(D) $318,000
(E) $360,000

103.	10822-!-item-!-187;#058&007696
A certain meter records voltage between 0 volts and 10 volts, inclusive.  If the average (arithmetic mean) value of 3 recordings on the meter was 8 volts, what was the smallest possible recording, in volts?

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

104.	10868-!-item-!-187;#058&007697
The temperatures in degrees Celsius recorded at 6 in the morning in various parts of a certain country were 10, 5, -2, -1, -5, and 15.  What is the median of these temperatures?

(A) -2
(B) -1
(C) 2
(D) 3
(E) 5

105.	10917-!-item-!-187;#058&007716
[?]

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

(A) 55
(B) 60
(C) 65
(D) 70
(E) 75

106.	10964-!-item-!-187;#058&007770
Joshua and Jose work at an auto repair center with 4 other workers.  For a survey on healthcare insurance, 2 of the 6 workers will be randomly chosen to be interviewed.  What is the probability that Joshua and Jose will both be chosen?

(A)  
(B)  
(C)  
(D)  
(E)  

107.	11013-!-item-!-187;#058&007796
[?]
  
The table above shows the total sales recorded in July for the 5 salespeople at Acme Truck Sales.  It was discovered that one of Cal's sales was incorrectly recorded as one of Ann's sales.  After this error was corrected, Ann's total sales were still higher than Cal's total sales, and the median of the 5 sales totals was $330,000.  What was the value of the incorrectly recorded sale?

(A)  $30,000
(B)  $48,000
(C)  $90,000
(D)
(E)

108.	11175-!-item-!-187;#058&007894
[?]

On the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks.  What is the least possible distance between any two of the tick marks?

(A)  
(B)  
(C)  
(D)  
(E)  

109.	11276-!-item-!-187;#058&008007
What is the value of  [?], to the nearest whole number?

(A)  8
(B)  11
(C) 12
(D) 15
(E) 32

110.	11325-!-item-!-187;#058&008034
During a trip on an expressway, Don drove a total of x miles.  His average speed on a certain 5-mile section of the expressway was 30 miles per hour, and his average speed for the remainder of the trip was 60 miles per hour.  His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 60 miles per hour for the entire trip?

(A)  8.5%
(B)  50%
(C)  
(D)  
(E)  

111.	11378-!-item-!-187;#058&008123
[?]

In the figures above, if the area of the triangle on the right is twice the area of the triangle on the left, then in terms of s, S =

(A)  
(B)  
(C)  
(D)  
(E) 2s

112.	11750-!-item-!-187;#058&008431
For a certain race, 3 teams were allowed to enter 3 members each.  A team earned 6 - n points whenever one of its members finished in nth place, where 1 <= n <= 5.  There were no ties, disqualifications, or withdrawals.  If no team earned more than 6 points, what is the least possible score a team could have earned?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

113.	11853-!-item-!-187;#058&008463
[?]

For the inequalities above, what is the maximum possible value of P + Q + R + S ?

(A) -2
(B)  0
(C)  2
(D)  4
(E)  6

114.	11899-!-item-!-187;#058&008467
If xy + k = k and x is not 0, which of the following must be true?

(A) x > y
(B) x + y = 0
(C) y = 0
(D) |x - y | = 0
(E) xy = 1

115.	12001-!-item-!-187;#058&008506
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)  
(C)  
(D)  
(E) 1

116.	12050-!-item-!-187;#058&008561
A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchase cake mix, 40 purchase muffin mix, and 20 purchase both cake mix and muffin mix.  If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?

(A)  
(B)  
(C)  
(D)  
(E)  

117.	12100-!-item-!-187;#058&008590
There are 8 magazines lying on a table; 4 are fashion magazines and the other 4 are sports magazines.  If 3 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazines will be selected?

(A)  
(B)  
(C)  
(D)  
(E)  

118.	12146-!-item-!-187;#058&008756
For each hour of production, a certain factory requires 1 assembly line worker for every 25 units to be produced in that hour.  The factory also requires 12 managers regardless of the number of units to be produced. Which of the following expressions represents the total number of assembly line workers and managers that this factory requires to produce 50N units in one hour, where N is a positive integer?

(A) 12 + 50N
(B) 12 + 2N
(C) 62N
(D) 37N
(E) 25N

119.	12192-!-item-!-187;#058&008830
A certain farmer pays $30 per acre per month to rent farmland.  How much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 605 feet?  
(43,560 square feet = 1 acre)

(A) $5,330
(B) $3,630
(C) $1,350
(D) $360
(E) $150

120.	12241-!-item-!-187;#058&008920
The diameter of circle S is equal in length to a side of a certain square.  The diameter of circle T is equal in length to a diagonal of the same square.  The area of circle T is how many times the area of circle S ?

(A)  
(B)  
(C) 2
(D)  
(E)  

121.	12343-!-item-!-187;#058&009002
Pat, Kate, and Mark charged a total of 162 hours to a certain project.  If Pat charged twice as much time to the project as Kate and [?] as much time as Mark, how many more hours did Mark charge to the project than Kate?

(A) 18
(B) 36
(C) 72
(D) 90
(E) 108

122.	12443-!-item-!-187;#058&009133
If n is a positive integer, which of the following must be an even integer?

(A) n + 1
(B) n + 2
(C) n^2 + 2
(D) n^2 + n
(E) n^2 + 2n

123.	12489-!-item-!-187;#058&009157
Of the 100 passengers who entered a railroad station, 10 passengers had 4 pieces of luggage each, 20 had 5 pieces of luggage each, 50 had 2 pieces of luggage each, and the rest had no luggage.  What was the average (arithmetic mean) number of pieces of luggage per passenger?

(A) 1
(B) 1.4
(C) 2
(D) 2.4
(E) 3

124.	12535-!-item-!-187;#058&009197
A rectangular region has a fence along three sides and a wall along the fourth side.  The fenced side opposite the wall is twice the length of each of the other two fenced sides.  If the area of the rectangular region is 128 square feet, what is the total length of the fence, in feet?

(A) 4
(B) 8
(C) 16
(D) 32
(E) 64

125.	12583-!-item-!-187;#058&009318
Of the following, which is greatest?

[?]

(A)  
(B)  
(C) 3^(-2)
(D) 5^(-2)
(E) 2^3

126.	12631-!-item-!-187;#058&009380
9.4  9.9  9.9  9.9  10.0  10.2  10.2  10.5
The mean and the standard deviation of the 8 numbers shown are 10.0 and 0.3, respectively.  What percent of the 8 numbers are within 1 standard deviation of the mean?

(A) 90%
(B) 85%
(C) 80%
(D) 75%
(E) 70%

127.	12731-!-item-!-187;#058&009562
In May, Xiang sold 15 used cars.  For these 15 cars, the range of the selling prices was $15,000 and the lowest selling price was $4,500.  In June, Xiang sold 10 used cars.  For these 10 cars, the range of the selling prices was $16,500 and the lowest selling price was $6,100.  What was the range of the selling prices of the 25 used cars sold by Xiang in May and June?

(A) $15,600
(B) $15,750
(C) $16,820
(D) $18,100
(E) $19,200

128.	12783-!-item-!-187;#058&009601
[?]

In the figure shown, the length of line segment QS is  .  What is the perimeter of equilateral triangle PQR ?

(A) 12
(B)  
(C) 24
(D)  
(E) 48

129.	12829-!-item-!-187;#058&009608
A television network sells advertising time on a certain program at the rate of $10,000 per minute.  If the program is shown once a day for 5 days a week, what is the cost of advertising on this program for 3 weeks at 30 seconds per day?

(A) $15,000
(B) $25,000
(C) $75,000
(D) $90,000
(E) $150,000

130.	12875-!-item-!-187;#058&009671
If (400)(6,000) = (240)(100^x), what is the value of x ?

(A) 5
(B) 4
(C) 3
(D) 2
(E) 1

131.	12921-!-item-!-187;#058&009694
If x is an even integer and y is an odd integer, which of the following is even?

(A) 3x + 4y - 1
(B) 3x + 3y - 2
(C) 4x + 4y + 1
(D) 4x + 3y + 2
(E) 4x + 3y + 1

132.	13076-!-item-!-187;#058&009801
[?]

(A) 3^(-6)
(B) 3^(-5)
(C) 3^(-1)
(D) 3^5
(E) 3^6

133.	13123-!-item-!-187;#058&009850
The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes.  If a meal consists of 1 entree and 2 different side dishes, how many different meal combinations could be chosen from this menu?

(A) 10
(B) 20
(C) 40
(D) 80
(E) 100

134.	13169-!-item-!-187;#058&009883
[?]

If x is an integer, which of the following must be an odd integer?

(A) 2x + 2
(B) 4x + 3
(C) 13x
(D) 14x
(E)

135.	13220-!-item-!-187;#058&009935
Machine A produces pencils at a constant rate of 9,000 pencils per hour, and machine B produces pencils at a constant rate of 7,000 pencils per hour.  If the two machines together must produce 100,000 pencils and if each machine can operate for at most 8 hours, what is the least amount of time, in hours, that machine B must operate?

(A) 4
(B)  
(C)  
(D) 6
(E)  

136.	13320-!-item-!-187;#058&009993
A school purchased 2 computers whose prices were $1,000 and $2,000, respectively.  The school is to purchase 2 more computers from a list of computers whose prices range from $1,000 to $2,000, inclusive.  The greatest possible average (arithmetic mean) price of the 4 computers is how much greater than the least possible average price of the 4 computers?

(A)  $250
(B)  $500
(C)  $750
(D) $1,000
(E) $1,250

137.	13366-!-item-!-187;#058&010014
Connie paid a sales tax of 8 percent on her purchase.  If the sales tax had been only 5 percent, she would have paid $12 less in sales tax on her purchase.  What was the total amount that Connie paid for her purchase including sales tax?

(A) $368
(B) $380
(C) $400
(D) $420
(E) $432

138.	13412-!-item-!-187;#058&010022
A grocer stacked oranges in a pile.  The bottom layer was rectangular with 3 rows of 5 oranges each.  In the second layer from the bottom, each orange rested on 4 oranges from the bottom layer, and in the third layer, each orange rested on 4 oranges from the second layer.  Which of the following is the maximum number of oranges that could have been in the third layer?

(A) 5
(B) 4
(C) 3
(D) 2
(E) 1

139.	13466-!-item-!-187;#058&010025
[?]

The figure shows the top side of a circular medallion made of a circular piece of colored glass surrounded by a metal frame, represented by the shaded region.  If the radius of the medallion is r centimeters and the width of the metal frame is s centimeters, then in terms of s and r, what is the area of the metal frame, in square centimeters?

(A)  
(B)  
(C)  
(D)  
(E)  

140.	13512-!-item-!-187;#058&010037
A farm used two harvesting machines, H and K, to harvest 100 acres of wheat.  Harvesting machine H, working alone at its constant rate, harvested 40 acres of wheat in 8 hours.  Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 5 hours.  Harvesting machine K harvested how many acres of wheat per hour?

(A) 7
(B) 8
(C) 12
(D) 13
(E) 15

141.	13558-!-item-!-187;#058&010099
A charitable organization has a goal of raising $300,000 in 100 days.  If it raised $200,000 in the first 60 days, what is the average (arithmetic mean) number of dollars per day that it must raise for the last 40 days in order to achieve its goal?

(A) $2,500
(B) $3,000
(C) $5,000
(D) $6,000
(E) $7,500

142.	13607-!-item-!-187;#058&010106
[?]

On the number line shown, the tick marks are equally spaced.  What is the value of y - x ?

(A) 4
(B) 6
(C) 8
(D) 9
(E) 10

143.	13707-!-item-!-187;#058&010123
Of the 50 employees of a certain company, 30 earn an average (arithmetic mean) salary of $30,000, 15 earn an average salary of $40,000, and 5 earn an average salary of $60,000.  What is the average salary earned by the employees of this company?

(A) $30,000
(B) $36,000
(C) $40,000
(D) $45,000
(E) $50,000

144.	13921-!-item-!-187;#058&010164
[?]

The table shows the quantities of eggs, flour, and sugar used by a certain baker to make one cake of each of the three different types.  If the baker had 24 eggs, 30 cups of flour, and 10 cups of sugar available and had to make 2 angel food cakes and 1 devil's food cake, what is the maximum number of pound cakes that the baker could make with the remaining ingredients?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 8

145.	13967-!-item-!-187;#058&010235
At 12:00 noon, the temperature in a certain storage room was 64.  If the temperature in the storage room decreased at a constant rate of 2 per hour for the next 8 hours, what was the temperature in the storage room at 8:00 in the evening?

(A) 2
(B) 8
(C) 16
(D) 48
(E) 54

146.	14067-!-item-!-187;#058&010315
In a certain group of 10 members, 4 members teach only French and the rest teach only Spanish or German.  If the group is to choose a 3-member committee, which must have at least 1 member who teaches French, how many different committees can be chosen?

(A) 40
(B) 50
(C) 64
(D) 80
(E) 100

147.	14926-!-item-!-187;#058&010459
Last semester an assistant was paid a total of $800 for grading papers in a class of 37 students.  If each student handed in 7 papers and the assistant graded all of these papers, then, to the nearest whole dollar, the assistant's pay per paper graded was

(A) $5
(B) $4
(C) $3
(D) $2
(E) $1

148.	15080-!-item-!-187;#058&010499
Amy's grade was the 90th percentile of the 80 grades for her class.  Of the 100 grades from another class, 19 were higher than Amy's, and the rest were lower.  If no other grade was the same as Amy's grade, then Amy's grade was what percentile of the grades of the two classes combined?

(A) 72nd
(B) 80th
(C) 81st
(D) 85th
(E) 92nd

149.	15127-!-item-!-187;#058&010506
To determine her state income tax last year, Elena computed 5 percent of her gross income, rounded the resulting figure down to the nearest $100, and subtracted $50 for each dependent that she claimed.  If Elena's gross income was $34,500 and she claimed 2 dependents, how much did she determine her state income tax to be?

(A) $1,600
(B) $1,625
(C) $1,650
(D) $1,675
(E) $1,700

150.	15173-!-item-!-187;#058&010507
The area of a square garden is A square feet and the perimeter is P feet.  If A = 2P + 9, what is the perimeter of the garden, in feet?

(A) 28
(B) 36
(C) 40
(D) 56
(E) 64

151.	15220-!-item-!-187;#058&010594
Which of the following is closest to [?]

(A) 4
(B) 7
(C) 9
(D) 12
(E) 16

152.	15432-!-item-!-187;#058&010733
Square S is inscribed in circle T.  If the perimeter of S is 24, what is the circumference of T ?

(A) 6 
(B) 12 
(C)  
(D)  
(E)  

153.	15587-!-item-!-187;#058&010762
At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $50,000.  Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time.  If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?

(A) $10,000
(B) $11,200
(C) $12,000
(D) $12,800
(E) $13,200

154.	15633-!-item-!-187;#058&010772
Bobby bought two shares of stock, which he sold for $96 each.  If he had a profit of 20 percent on the sale of one of the shares but a loss of 20 percent on the sale of the other share, then on the sale of both shares combined Bobby had

(A) a profit of $10
(B) a profit of $8
(C) a loss of $8
(D) a loss of $10
(E) neither a profit nor a loss

155.	16166-!-item-!-187;#058&010984
A certain brand of gasoline costs $1.25 per gallon.  Using this gasoline, if a car averages 30 miles to the gallon, what is the cost of the gasoline needed for the car to travel 120 miles?

(A) $4.50
(B) $5.00
(C) $5.50
(D) $6.00
(E) $6.50

156.	16266-!-item-!-187;#058&011027
A certain restaurant offers 6 kinds of cheese and 2 kinds of fruit for its dessert platter.  If each dessert platter contains an equal number of kinds of cheese and kinds of fruit, how many different dessert platters could the restaurant offer?

(A)  8
(B) 12
(C) 15
(D) 21
(E) 27

157.	16315-!-item-!-187;#058&011053
If k and t are integers and k2 - t2 is an odd integer, which of the following must be an even integer?
   
[?]

(A) None
(B) I only
(C) II only
(D) III only
(E) I, II, and III

158.	16365-!-item-!-187;#058&011058
If x and y are positive, which of the following must be greater than   [?]

[?]

(A)    
(B) None
(C) I only
(D) II only
(E) I and III

159.	16573-!-item-!-187;#058&011089
What is the greatest prime factor of 417 - 228 ?

(A) 2
(B) 3
(C) 5
(D) 7
(E) 11

160.	16619-!-item-!-187;#058&011092
An automobile manufacturer offers a station wagon with either a 6-cylinder engine or a 4-cylinder engine and with either a manual transmission or an automatic transmission.  A trailer hitch is also offered, but only on a station wagon with a 6-cylinder engine.  How many combinations of the five options listed does the manufacturer offer for its station wagon?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 8

161.	16989-!-item-!-187;#058&011313
The temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees Fahrenheit.  If the temperature F of the coffee t minutes after it was poured can be determined by the formula F = 120[2^(-at)] + 60, where F is in degrees Fahrenheit and a is a constant, then the temperature of the coffee 30 minutes after it was poured was how many degrees Fahrenheit?

(A) 65
(B) 75
(C) 80
(D) 85
(E) 90

162.	17416-!-item-!-187;#058&011441
If x is an odd integer, which of the following is also an odd integer?

(A) 2x
(B) 4x + 2
(C) x2 + 3
(D) x2 + x + 3
(E) x2 + 2x + 1

163.	17463-!-item-!-187;#058&011464
The mass of 1 cubic meter of a substance is 800 kilograms under certain conditions.  What is the volume, in cubic centimeters, of 1 gram of this substance under these conditions?  (1 kilogram = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)

(A)  0.80
(B) 1.25
(C) 8.00
(D) 12.50
(E) 80.00

164.	17509-!-item-!-187;#058&011499
Lisa bought a house for $70,000 and paid closing costs equal to 2 percent of the purchase price.  Later Lisa sold the house for $82,000 and paid a broker's commission equal to 10 percent of the selling price. What was Lisa's profit from the two transactions?

(A)  $2,160
(B)  $2,400
(C)  $3,600
(D)  $3,800
(E) $12,000

165.	17668-!-item-!-187;#058&011589
A circular cloth with a diameter of 20 inches is placed on a circular tray with a diameter of 24 inches.  What fraction of the tray's surface is not covered by the cloth?

(A)  
(B)  
(C)  
(D)  
(E)  

166.	17879-!-item-!-187;#058&011634
70, 75, 80, 85, 90, 105, 105, 130, 130, 130
The list shown consists of the times, in seconds, that it took each of 10 schoolchildren to run a distance of 400 meters.  If the standard deviation of the 10 running times is 22.4 seconds, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times?

(A) One
(B) Two
(C) Three
(D) Four
(E) Five

167.	18146-!-item-!-187;#058&011731
In a survey of 248 people, 156 are married, 70 are self-employed, and 25 percent of those who are married are self-employed.  If a person is to be randomly selected from those surveyed, what is the probability that the person selected will be self-employed but not married?

(A)  
(B)  
(C)  
(D)  
(E)  

168.	18192-!-item-!-187;#058&011758
A stamping machine produces 100 gaskets per hour.  When this machine works with a newer machine, the two machines, working simultaneously and independently at their respective constant rates, produce a total of 2,000 gaskets in 8 hours.  How many gaskets does the newer machine produce per hour?

(A) 125
(B) 150
(C) 160
(D) 175
(E) 200

169.	18239-!-item-!-187;#058&011831
If  [?] and n = 40, then S =

(A) 121
(B) 162
(C) 420
(D) 780
(E) 820

170.	18339-!-item-!-187;#058&011871
For any triangle T in the xy-coordinate plane, the center of T is defined to be the point whose x-coordinate is the average (arithmetic mean) of the x-coordinates of the vertices of T and whose y-coordinate is the average of the y-coordinates of the vertices of T.  If a certain triangle has vertices at the points (0,0) and (6,0) and center at the point (3,2), what are the coordinates of the remaining vertex?

(A) (3,4)
(B) (3,6)
(C) (4,9)
(D) (6,4)
(E) (9,6)

171.	18385-!-item-!-187;#058&011883
Lynn lent Robert $10,000 at 6 percent simple annual interest to be repaid at the end of 3 years.  What was the total amount that Robert had to pay to Lynn?

(A) $10,180
(B) $10,190
(C) $10,600
(D) $11,800
(E) $11,910

172.	18647-!-item-!-187;#058&012110
Nathan took out a student loan for $1,200 at 10 percent annual interest, compounded annually.  If he did not repay any of the loan or interest during the first 3 years, which of the following is closest to the amount of interest that he owed for the 3 years?

(A) $360
(B) $390
(C) $400
(D) $410
(E) $420

173.	18801-!-item-!-187;#058&012255
If 0 < m < 1, which of the following expressions has the least value?

(A) m
(B) m^2
(C) m^3
(D) 2 - m
(E) (m + 1)^2

174.	18908-!-item-!-187;#058&012310
[?]

If the tick marks on the number line shown are equally spaced, what is the value of   ?

(A) 9
(B) 6
(C) 4
(D) 3
(E) 2

175.	19062-!-item-!-187;#058&012458
Five pieces of wood have an average (arithmetic mean) length of 124 centimeters and a median length of 140 centimeters.  What is the maximum possible length, in centimeters, of the shortest piece of wood?

(A)  90
(B) 100
(C) 110
(D) 130
(E) 140

176.	19324-!-item-!-187;#058&012548
In the xy-plane, line k has positive slope and x-intercept 4.  If the area of the triangle formed by line k and the two axes is 12, what is the y-intercept of line k ?

(A) -6
(B) -4
(C) -3
(D)  3
(E)  6

177.	19424-!-item-!-187;#058&012637
Machines X and Y produce bottles at their respective constant rates.  Machine X produces k bottles in 6 hours and machine Y produces k bottles in 2 hours.  How many hours does it take machines X and Y, working simultaneously, to produce 12k bottles?

(A) 8
(B) 12
(C) 15
(D) 18
(E) 24

178.	19473-!-item-!-187;#058&012640
[?]

Isaac can purchase a certain item in four different ways, as shown in the table.  What is the lowest price for which he can purchase this item?

(A) $88.10
(B) $89.00
(C) $89.10
(D) $89.50
(E) $90.00

179.	19627-!-item-!-187;#058&012670
The number of years of service of the eight employees in a production department are 15, 10, 9, 17, 6, 4, 14, and 16.  What is the range in the number of years of service of the eight employees?

(A) 10
(B) 11
(C) 12
(D) 13
(E) 14

180.	19674-!-item-!-187;#058&012673
Bob invested $2,000 in fund A and $1,000 in fund B.  Over the next two years, the money in fund A earned a total interest of 12 percent for the two years combined and the money in fund B earned 30 percent annual interest compounded annually.  Two years after Bob made these investments, Bob's investment in fund A was worth how much more than his investment in fund B ?

(A) $500
(B) $550
(C) $600
(D) $650
(E) $700

181.	19721-!-item-!-187;#058&012675
The distributor of cases of a certain beverage charges $60 per case for orders of 1 to 5 cases, $50 per case for orders of 6 to 20 cases, and $45 per case for orders of more than 20 cases.  If the distributor filled three orders, one for 3 cases of the beverage, one for 11 cases of the beverage, and one for 30 cases of the beverage, what was the total amount the distributor charged for the orders?

(A) $1,960
(B) $2,000
(C) $2,040
(D) $2,080
(E) $2,120

182.	19767-!-item-!-187;#058&012676
Two members of a club are to be selected to represent the club at a national meeting.  If there are 190 different possible selections of the 2 members, how many members does the club have?

(A) 20
(B) 27
(C) 40
(D) 57
(E) 95

183.	19813-!-item-!-187;#058&012836
A certain company had an annual profit of $15 million in 1998 and an annual profit of $20 million in 1999.  In 2000 the company had an annual loss of $5 million.  What was the company's average (arithmetic mean) annual profit for the 3 years?

(A)  $5 million
(B) $10 million
(C) $13 million
(D) $20 million
(E) $25 million

184.	19859-!-item-!-187;#058&012871
For each hour at his part-time job, Jack is paid $0.05 per box for the first 100 boxes of apples packed and $0.07 for each additional box of apples packed.  If Jack packed 125 boxes of apples in one hour, how much was he paid for that hour?

(A) $6.25
(B) $6.75
(C) $7.00
(D) $7.50
(E) $8.75

185.	19906-!-item-!-187;#058&012893
If the probability that event S will not occur is 1 - y, then the probability that event S will occur is

(A) y^2 - 1
(B) y^2
(C) y/2 
(D) y - 1
(E) y

186.	20012-!-item-!-187;#058&012968
[?]

The table shows the number of residents in a certain development who are willing to contribute to build a swimming pool, provided the required contribution does not exceed the amount indicated by the resident.  The following three amounts are being considered as the required contribution.  Which would ensure that more than half of the residents contribute to build the pool?
   
(A) None
(B) I only
(C) II only
(D) I and II only
(E) I, II, and III

187.	20058-!-item-!-187;#058&012969
According to a financial analyst, if Company C sets the unit selling price of its product at x dollars, then its monthly profit P, in dollars, is given by the formula P = 1,000(4x - x^2 - 2).  According to this formula, at what amount should Company C set the unit selling price of its product so that its monthly profit is $2,000 ?

(A) $1
(B) $2
(C) $3
(D) $4
(E) $6

188.	20105-!-item-!-187;#058&012975
Helen, Jim, and Ivan each purchased some books at a bookstore.  Helen purchased 4 books and Jim purchased 1 book.  If the 3 people purchased an average (arithmetic mean) of 2 books per person, how many books did Ivan purchase?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

189.	20151-!-item-!-187;#058&012976
Denise made 9 sales calls on Monday, 6 sales calls on Tuesday, 7 sales calls on Wednesday, 9 sales calls on Thursday, and 11 sales calls on Friday.  What was the average (arithmetic mean) number of sales calls that Denise made for these 5 days?

(A) 8.4
(B) 8.6
(C) 8.8
(D) 9.0
(E) 9.2

190.	20197-!-item-!-187;#058&013023
Each day Linda spends 6 hours at her baby-sitting job, for which she is paid $15.00 per hour.  In addition, Linda spends a total of 1.5 hours each day, for which she is not paid, traveling to and from the job.  What is Linda's hourly rate of pay for the total amount of time that she spends each day at her baby-sitting job and traveling to and from that job?

(A) $7.50
(B) $9.00
(C) $10.00
(D) $10.75
(E) $12.00

191.	20243-!-item-!-187;#058&013091
A certain class, consisting of a lecture and a question-and-answer session, lasted from 2:45 to 4:30 one afternoon.  If the lecture lasted from 2:45 to 4:15, then the question-and-answer session was what fraction of the total class time?

(A)  
(B)  
(C)  
(D)  
(E)  

192.	20560-!-item-!-187;#058&013287
[?]

(A) 10
(B) 20
(C) 40
(D) 80
(E) 100

193.	20876-!-item-!-187;#058&013435
In a class of 30 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest of the students each borrowed at least 3 books.  If the average (arithmetic mean) number of books borrowed per student was 2, what is the maximum number of books that any single student could have borrowed?

(A) 3
(B) 5
(C) 8
(D) 13
(E) 15

194.	21030-!-item-!-187;#058&013558
One morning Emily recorded the time that it took to read each of her e-mail messages.  The times, in seconds, were 32, 18, 20, 29, and 21.  How many seconds greater was the average (arithmetic mean) time than the median time?

(A) 1
(B) 1.5
(C) 2.2
(D) 2.5
(E) 3

195.	21076-!-item-!-187;#058&013587
For all numbers a and b, the operation # is defined by a # b = 2a + 2b + 1.  What is the value of 6 # 1 ?

(A)  6
(B)  7
(C) 13
(D) 14
(E) 15

196.	21176-!-item-!-187;#058&013593
Company P's cost c, in dollars, of producing n units of a certain product is c = 2.5n + 25,000.  What is the greatest number of units that Company P can produce if the cost of producing these units cannot exceed $200,000 ?

(A) 55,000
(B) 60,000
(C) 65,000
(D) 70,000
(E) 75,000

197.	21223-!-item-!-187;#058&013681
Working at their respective constant rates, machine A makes 100 copies in 12 minutes and machine B makes 150 copies in 10 minutes.  If these machines work simultaneously at their respective rates for 30 minutes, what is the total number of copies that they will produce?

(A) 250
(B) 425
(C) 675
(D) 700
(E) 750

Practice Test 2 Problem Solving Keys

  1. D	246-!-item-!-187;#058&000117
  2. D	509-!-item-!-187;#058&000281
  3. E	827-!-item-!-187;#058&000411
  4. C	1197-!-item-!-187;#058&000782
  5. D	1353-!-item-!-187;#058&000886

  6. B	1456-!-item-!-187;#058&000991
  7. B	1502-!-item-!-187;#058&001086
  8. C	1608-!-item-!-187;#058&001224
  9. C	1662-!-item-!-187;#058&002391
 10. B	1708-!-item-!-187;#058&002411

 11. E	1971-!-item-!-187;#058&002527
 12. D	2238-!-item-!-187;#058&002618
 13. E	2392-!-item-!-187;#058&002762
 14. D	2546-!-item-!-187;#058&002908
 15. D	2647-!-item-!-187;#058&002944

 16. E	2698-!-item-!-187;#058&002953
 17. E	2747-!-item-!-187;#058&002959
 18. B	2793-!-item-!-187;#058&002984
 19. B	2896-!-item-!-187;#058&003100
 20. C	2942-!-item-!-187;#058&003104

 21. D	2988-!-item-!-187;#058&003110
 22. C	3254-!-item-!-187;#058&003229
 23. C	3470-!-item-!-187;#058&003305
 24. B	3573-!-item-!-187;#058&003330
 25. C	3619-!-item-!-187;#058&003382

 26. E	3669-!-item-!-187;#058&003387
 27. D	3721-!-item-!-187;#058&003433
 28. B	3770-!-item-!-187;#058&003486
 29. A	3873-!-item-!-187;#058&003594
 30. D	4244-!-item-!-187;#058&003828

 31. D	4295-!-item-!-187;#058&003848
 32. C	4504-!-item-!-187;#058&003922
 33. E	4550-!-item-!-187;#058&003924
 34. B	4707-!-item-!-187;#058&003966
 35. A	4808-!-item-!-187;#058&003979

 36. A	5018-!-item-!-187;#058&004104
 37. A	5174-!-item-!-187;#058&004144
 38. C	5275-!-item-!-187;#058&004179
 39. B	5378-!-item-!-187;#058&004220
 40. E	5532-!-item-!-187;#058&004320

 41. E	5689-!-item-!-187;#058&004421
 42. D	5737-!-item-!-187;#058&004537
 43. D	5837-!-item-!-187;#058&004612
 44. A	5884-!-item-!-187;#058&004663
 45. E	5933-!-item-!-187;#058&004664

 46. C	5979-!-item-!-187;#058&004694
 47. C	6025-!-item-!-187;#058&004767
 48. D	6071-!-item-!-187;#058&004779
 49. E	6121-!-item-!-187;#058&004785
 50. C	6173-!-item-!-187;#058&004786

 51. C	6219-!-item-!-187;#058&004789
 52. A	6267-!-item-!-187;#058&004794
 53. B	6313-!-item-!-187;#058&004799
 54. C	6364-!-item-!-187;#058&004806
 55. D	6410-!-item-!-187;#058&004809

 56. D	6461-!-item-!-187;#058&004810
 57. B	6510-!-item-!-187;#058&004845
 58. A	6618-!-item-!-187;#058&004870
 59. C	6664-!-item-!-187;#058&004887
 60. C	6711-!-item-!-187;#058&004926

 61. B	6814-!-item-!-187;#058&004969
 62. E	7185-!-item-!-187;#058&005078
 63. B	7231-!-item-!-187;#058&005082
 64. E	7285-!-item-!-187;#058&005104
 65. D	7385-!-item-!-187;#058&005343

 66. A	7431-!-item-!-187;#058&005458
 67. B	7481-!-item-!-187;#058&005467
 68. E	7638-!-item-!-187;#058&005506
 69. A	8008-!-item-!-187;#058&005955
 70. C	8217-!-item-!-187;#058&006107

 71. E	8372-!-item-!-187;#058&006254
 72. E	8421-!-item-!-187;#058&006278
 73. B	8467-!-item-!-187;#058&006379
 74. D	8516-!-item-!-187;#058&006446
 75. C	8673-!-item-!-187;#058&006582

 76. C	8721-!-item-!-187;#058&006602
 77. B	8876-!-item-!-187;#058&006751
 78. E	9309-!-item-!-187;#058&006922
 79. E	9358-!-item-!-187;#058&006924
 80. E	9407-!-item-!-187;#058&006938

 81. A	9454-!-item-!-187;#058&006950
 82. A	9500-!-item-!-187;#058&006955
 83. B	9550-!-item-!-187;#058&006969
 84. D	9603-!-item-!-187;#058&006986
 85. A	9649-!-item-!-187;#058&007038

 86. A	9697-!-item-!-187;#058&007051
 87. D	9743-!-item-!-187;#058&007054
 88. A	9789-!-item-!-187;#058&007104
 89. E	9835-!-item-!-187;#058&007168
 90. B	10100-!-item-!-187;#058&007272

 91. D	10146-!-item-!-187;#058&007291
 92. D	10192-!-item-!-187;#058&007298
 93. E	10238-!-item-!-187;#058&007360
 94. E	10284-!-item-!-187;#058&007376
 95. E	10331-!-item-!-187;#058&007378

 96. D	10378-!-item-!-187;#058&007391
 97. D	10424-!-item-!-187;#058&007444
 98. E	10475-!-item-!-187;#058&007489
 99. E	10524-!-item-!-187;#058&007561
100. A	10681-!-item-!-187;#058&007619

101. C	10730-!-item-!-187;#058&007650
102. A	10776-!-item-!-187;#058&007653
103. C	10822-!-item-!-187;#058&007696
104. C	10868-!-item-!-187;#058&007697
105. D	10917-!-item-!-187;#058&007716

106. A	10964-!-item-!-187;#058&007770
107. D	11013-!-item-!-187;#058&007796
108. B	11175-!-item-!-187;#058&007894
109. B	11276-!-item-!-187;#058&008007
110. E	11325-!-item-!-187;#058&008034

111. C	11378-!-item-!-187;#058&008123
112. D	11750-!-item-!-187;#058&008431
113. C	11853-!-item-!-187;#058&008463
114. C	11899-!-item-!-187;#058&008467
115. C	12001-!-item-!-187;#058&008506

116. B	12050-!-item-!-187;#058&008561
117. E	12100-!-item-!-187;#058&008590
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