1.  Mr. Daniels deposits $10, 000 in a  savings certificate earning p percent annual interest compounded quarterly. What is the value of p?
    (1) During the term of the certificate,  he earns $18 more than he would if the interest were not compounded.
    (2) He withdraws  all  the  money  six  months after depositing it.

2.  For a certain performance at a concert  hall, a total of 2,350 tickets were sold in the orchestra, first mezzanine, and second mezzanine.  How many orchestra tickets were sold?
    (1) The number of first mezzanine tickets  sold was one-half the number of second mezzanine tickets sold.
    (2) The total number of first and second  mezzanine tickets sold was 50 percent greater than the number of orchestra tickets sold.

3.  At Company R, the average (arithmetic  mean) age of executive employees is 54 years old and the average age of non-executive  employees is 32 years old. What is the average age of all the employees at Company R?
    (1) There are 10 executive employees at  Company R.
    (2) The number of  non-executive  employees at Company R is four times the number of executive employees at Company R.

4. 
    Rectangle WXYZ is inscribed in a circle  with center O as shown above.  If the diameter of the circle is equal to 16, then what is the area of the shaded region?
    (1) WZ=OW
    (2) XW＜XY

5.  There are 105 students taking history  and/or mathematics. How many students are taking only mathematics?
    (1) Thirty students are taking history  only.
    (2) Fifty students are taking both history  and mathematics.

6. 
    What is the area of triangle PST shown  above?
    (1) The area of rectangle PQRS is 40.
    (2) The area of parallelogram PTRU is  32.

7.  At a restaurant, Luis left a tip for his  waiter equal to 20 percent of his entire dinner check, including tax.  What was the amount of the dinner check?
    (1) The sum of the dinner check and the  tip was $16.80.
    (2) Luis' tip consisted of two bills and  four coins.

8.  Every student graduating from Burgerville  College is either a 4-year student or a transfer student. If Burgerville is graduating an  equal  number of 4-year students  and  transfer  students,  what fraction of the students who graduate with honors are transfer students?
    (1) Of the 700 transfer students graduating, 300 are graduating with honors.
    (2) Fifty percent more transfer students than 4-year students are graduating with honors.

9. 
    Find the area of △ABD if BC=8 inches.
    (1) A line dropped perpendicular to BC from AD= 5 inches.
    (2) ABCD is a parallelogram.

10. 
    What is the length of side AC of triangle ABC?
    (1) AB=13 and BC=5
    (2) x+y=90

11.  An automobile dealership  sells only  sedans and coupes.  It sells each in only two colors: red and blue.  Last year, the dealership sold 9,000 vehicles,  half of which were red. How many coupes did the dealership sell last year?
    (1) The dealership sold three times as  many blue coupes as red sedans last year.
    (2) The dealership sold half as many  blue sedans as blue coupes last year.

12.   A piece of paper in the shape of an  isosceles right triangle is cut along a line parallel  to  the  hypotenuse  of  the triangle,  leaving  a  smaller  triangular piece. If the area of the triangle was 25 square inches before the cut, what is the new area of the triangle?
    (1) The cut is made 2 inches from the  hypotenuse.
    (2) There was a 40 percent decrease in  the length of the hypotenuse of the triangle.

13.  Todd's construction company is capable  of building 40 houses a year.  Todd's brother Mike also owns a construction company. How long does it take the two companies together to build 64 houses?
    (1) Mike's construction company is capable of building houses twice as fast  as Todd's company does.
    (2) Mike's construction company is capable of building 20 houses every  three months.

14.   What is the ratio of men to women  enrolled in a certain class?
    (1) The number of women enrolled in  the class is 3 less than half the number of men enrolled.
    (2) The number of women enrolled in  the class is of the number of men enrolled.

15.  The projected school tax rate is set at  $11.25 per 1,000.  What is X's house assessed for?
    (1) Mr. X will pay $202.50 in school  taxes  under  the  proposed  new budget.
    (2) He paid $217.85 last year.

16.   During  July,  a  mail  order  retailer  received 3,300 order for amounts less than  $100,  and  1, 100  orders  for amounts of at least $100. What was the average size of an order in July?
    (1) The gross sales from the orders less  than $100 equaled the gross sales from the orders greater than $100.
    (2)  The orders for less  than $100  account for a total of $134,000 in gross sales.

17. 
    In the figure above, does a=b?
    (1) x=γ
    (2) c=x

18.  Which sport utility vehicle has a higher  list price, the Touristo or the Leisure?
    (1) The list price of the Leisure is the  list price of the Touristo.
    (2) The list price of the Touristo is 1.2  times the list price of the Leisure.

19.   If 60 percent of the employees at  Company X are female, does Company X have more than 100 female employees?
    (1) Company X has more than 150 employees.
    (2) Company X has 74 more female employees than male employees.

20. 
    Triangle QRS is inscribed in a circle. Is QRS a right triangle?
    (1) QR is a diameter of the circle.
    (2) Length QS equals 3 and length QR equals 5.

21.  If Beth spent $400 of her earnings last  month on rent, how much did Beth earn last month?
    (1) Beth saved of her earnings last  month and spent half of the remainder on rent.
    (2)Beth earned twice as much this  month as last month.

22.   A certain bread recipe calls for whole  wheat flour, white flour, and oat flour in the ratio of 3:2～1, respectively. How many cups of oat flour are needed to make a loaf of bread?
    (1) A total of 30 cups of whole wheat  and white flour are needed to make 3 loaves of bread.
    (2) Two more cups of whole wheat flour  than white  flour  are  needed  for every loaf.

23.  If a rectangle has length a and width b,  what is its area?
   
    (2) a=2b-2

24.  Joan had a total of $16.50 in her coin  bank.  How  many  quarters  does  she have?
    (1) The bank contains only quarters and  dimes.
    (2) There were 81 coins in the bank.

25. 
    In the figure above, what is the length of  PQ times the length of RS?
    (1) The length of PQ is 5.
    (2) The length of QR times the length of  PR is equal to 12.

26.  A garden is surrounded by a path that is 4  feet wide. What is the area of the path?
    (1) The area of the path is of the area  of the garden.
    (2) The garden is circular with a 12-foot  diameter.

27.  A survey of 600 computer owners  revealed that they owned a modem and/ or a scanner. How many of the people surveyed owned only a modem?
    (1) The number of people surveyed who  owned only a modem was  three times the number of people who owned only a scanner.
    (2) Four hundred people who were surveyed owned both a modem and a  scanner, which was eight times the number  of  people  surveyed  who owned only a scanner.

28.  In 1988, was the number of people in  City X  greater than  three  times  the number of people in City Y?
    (1) In 1988, there were approximately  1. 1 million more people in City X than in City Y.
    (2) In 1988, the 300,000 Mormons in  City X made up 20 percent of its population, and the 141,000 Buddhists in City Y made up 30 percent of its population.

29.  A university awarded grants in the amount  of either $7, 000 or $10, 000 to some incoming freshmen. The total amount of all such awards was $2, 300, 000.  Did the university award more $ 7,000 grants than $10,000 grants to its incoming freshmen?
    (1) A total of 275 freshmen received  grants in one of the two amounts.
    (2) The amount of money awarded in  $10,000 grants was $200,000 more than the amount of money awarded in $7,000 grants.

30.   In a certain country,  the retail price includes a value added tax of percent of the sum of the wholesale cost and the markup of an item.
    If the value added tax on a certain jacket  is 6 shillings, what is the wholesale cost of a jacket in shillings?
    (1) The markup represents 50 percent  of the wholesale cost.
    (2)The markup of the jacket is 16  shillings.

31. 
    Does line AC=5?
    (1) (AB)²+(BC)²=25
    (2) AB+BC=7

32.   Over a seven-week period a company  monitored the output  of  two  of  its branches, C and D. Each week the company  calculated  how  many  units were  produced  in  each branch.  The branch  that  produced  the  greatest number of units for four or more of the seven weeks was considered the more efficient  branch.  Which  office  was deemed the more efficient?
    (1)Over the seven-week period Branch  C produced twice as many units as Branch D.
    (2)The branch that was more efficient  was known by the fifth week.

33. 
    What is the area of the figure above  formed by a square and four semicircles?
    (1) The perimeter of the figure is 12π.
    (2) The perimeter of the square is 24.

34.  David has three credit cards: a Passport  card, an Everywhere Card, and an American Local card.  He owes balances on all three cards.  Does he owe the greatest  balance  on  the  Everywhere Card?
    (1) The sum of the balances on his  Everywhere Card and American Local card is $1, 350, which is three times the balance on his Passport card.
    (2) The balance on his Everywhere  Card is of the balance on his Passport card and of the balance on his American Local card.

35.  Adult and children's tickets were sold  for the circus. If 100 adult tickets and 200 children's tickets were sold, how much money  was  collected  for  ticket sales?
    (1) Two adult tickets and four children's  tickets cost $ 40.
    (2) Adult tickets cost twice as much as  children' s tickets.

36.  One hundred cars on a particular lot were  available with a compact disc player, a car phone, or both. How many cars had only a car phone?
    (1) The number of cars with compact  dise players was twice the number of cars with both a compact dise player and a car phone.
    (2) Thirty cars had  both,  which  was  half  the  number  of  cars  with compact disc players.

37. 
    A computer generates non-zero numbers  for the figure above so that the product of the numbers along any vertical column is equal to the product of the numbers in any horizontal row. What number does s represent?
    (1) u equals 6.
    (2) t equals 2.

38. 
    In the figure above, what is the value of r?
    (1) c=2
    (2) c=d

39.  A certain car dealership  has  two  locations. Last  month,  an  average (arithmetic  mean)  of  11  cars  per salesperson was sold at location A and an average of 16 cars per salesperson was sold at location B.  What was the average  number  of  cars  sold  per salesperson  at  this  dealership  last month?
    (1) Last month, the number of  salespeople at  location A was  3 times the number of salespeople at location B.
    (2) Last month, the total number of  cars sold at location A was 132, and the total number of cars sold at location B was 64.

40.  During a five-day period, Monday  through Friday, the average (arithmetic mean) high temperature was 86 degrees Fahrenheit. What was the high temperature on Friday?
    (1) The average high temperature for  Monday through Thursday was 87 degrees Fahrenheit.
    (2) The high temperature on Friday reduced the average high temperature  for the week by 1 degree Fahrenheit.

41.  All of the tickets for two real estate  seminars, F and G, were  either purchased or given away, and the ratio of F tickets to G tickets was 2 to 1. Of the total number of F tickets and G tickets, what percentage was purchased?
    (1) The total number of F tickets and G  tickets is 240.
    (2) Of the F tickets, exactly 60 percent  were  purchased,  and  of  the  G tickets,  exactly  80  percent  were purchased.

42.  A home owner must pick between paint  A, which costs $6,00 per liter,  and paint B, which costs $4.50 per liter. Paint B takes one-third longer to apply than paint A. If the home owner must pay the cost of labor at the rate of $36 per hour, which of the two paints will be cheaper to apply?
    (1) The ratio of the area covered by one  liter of paint A to the area covered by paint B is 4:3.
    (2) Paint A will require 40 liters of paint  and 100 hours of labor.

43. 
    Circle O is inscribed in parallelogram  ABCD, whose base is 12 inches. Find the area of the shaded portion.
    (1) The radius of the circle is 4 inches.
    (2) DC is twice as long as AD.

44.  What  is the value of the sum of a  sequence  of  three  consecutive  even integers?
    (1) The average of the three consecutive  even integers is 14.
    (2) The product  of  the  smallest  and  largest is 192.

45.  If point X is directly north of point Y and  directly west of point Z, what is the distance from point X to point Z?
    (1) The distance from Y to Z is 20.
    (2) The distance form X to Y is equal to  half the distance form Y to Z.

46.  In a certain law firm there are five senior  partners and five junior partners and all senior partners receive bonuses greater than those of the junior partner.  Does senior partner Johnson receive the largest bonus of the lawyers at the firm?
    (1) Johnson receives a bonus greater  than twice the average bonus for all the senior partners.
    (2) All partners receive some bonus,  and Mr. Johnson receives five times the average given to all the partners.

47. 

Class	Average Age	No. of Students
A	15 years	6
B	16 years	12

    Is the  standard  deviation  of  ages  of  students in class A greater than the standard deviation of the age of students in class B?
    (1) The difference between the ages of  any two students in class A is always more than 1 year.
    (2) No Student in class B is more than 6  months older than any other student.

48.  What is the approximate distance  between New York City and Montauk Point, Long Island?
    (1) Road map A shows that the  distance from New York City to Hicksville  is  Approximately  15 inches, when 1 inch=1.3 miles.
    (2) Road map B shows that the distance  from Hicksville to Montauk Point is approximately 36 inches, when 1 inch=2.6 miles.

49. 
    In the figure above, line segments JK  and LM represent two positions of the same board leaning against the side KN of a wall.  The length of KN is how much greater than the length of MN?
    (1) The length of LN is meters.
    (2) The length of JN is 1 meter.

50.  Automobile A is traveling at two-thirds  the speed that Automobile B is traveling. How fast is Automobile A traveling?
    (1) If both automobiles increased their  speed  by  10  miles  per  hour, Automobile A would be traveling at three-quarters the speed that Automobile B would be traveling.
    (2) If both automobiles decreased their  speed by 10 miles per hour, Automobile A would be traveling at half the speed that Automobile B would be traveling.