Q1.  If  company  X  received  $50,000  in  bequests  from  1980  through  1990,  how  much  money  did  it  receive  from  sales  to  France?    A)  $16,666  B)  $3,333  C)  $5,000  D)  $333  E)  $250    Q2.  From  the  information  given,  the  1980  sales  to  England  were  what  percent  of  the  sales  to  Italy?    A)  100  B)  50  C)  35  D)  25  E)  Cannot  be  determined    Q3.  If  sales  to  Italy  accounted  for  $1  million  more  than  sales  to  France,  how  much  income  came  from  US  sales?    A)  $200,000  B)  $6,250,000  C)  $5  million  D)  $25  million  E)  Cannot  be  determined  

 

   Q4.  Approximately  how  much  did  total  revenues  increase  from  2004  to  2007?    A)  $0.5  billion  B)  $1.5  billion  C)  $4  billion  D)  $4.5  billion  E)  $5  billion  

 Q5.  For  the  year  in  which  profits  from  food-­‐related  operations  increased  over  the  previous  year,  total  revenues  were  approximately    A)  $3.5  billion  B)  $4.5  billion  C)  $5.7  billion  D)  $6  billion  E)  $8  billion    Q6.  In  2008,  total  profits  represented  approximately  what  percent  of  Megacorp’s  total  revenue?    A)  50%  B)  20%  C)  10%  D)  5%  E)  1%    Q7.  For  the  first  year  in  which  revenue  from  non-­‐food-­‐related  operations  surpassed  $4.5  billion,  total  profits  were  approximately    A)  $250  million  B)  $450  million  C)  $550  million  D)  $650  billion  E)  $800  billion    

 

   Q8.  Which  best  describes  the  range  (in  billions  of  gallons)  for  residential  water  consumption  from  2000  to  2010,  inclusive?    A)  10  B)  20  C)  30  D)  40  E)  50    Q9.  For  the  year  in  which  total  usage  exceeded  residential  usage  by  the  least  number  of  gallons,  approximately  what  percent  was  residential  usage  of  total  usage?    A)  68%  B)  75%  C)  88%  D)  95%  E)  98%    

Q10.  In  2004,  only  10,000  residents  of  town  W  lived  in  homes  with  efficient  appliances  and  good  maintenance.  How  many  gallons  per  day  were  used  by  these  residents  for  the  three  daily  household  process  requiring  the  most  water?    A)  110,000  B)  160,000  C)  270,000  D)  300,000  E)  460,000    Q11.  Households  with  efficient  appliances  and  good  maintenance  can  reduce  water  consumption  by  about  35%.  If  approximately  half  of  the  residential  consumption  in  town  W  in  2010  was  by  households  with  these  characteristics,  how  many  billions  of  gallons  of  water  were  saved  that  year?    A)  5  B)  14  C)  40  D)  52  E)  65    Q12.  What  is  the  value  of  a?    1)  The  average  of  a  and  b  is  3.  2)  The  range  of  a  and  b  is  3.      Q13.  A  certain  jar  contained  only  pennies  and  nickels.  After  3  pennies  were  removed,  how  many  nickels  remained  in  the  jar?    1)  The  original  ratio  of  pennies  to  nickels  in  the  jar  was  7:4.  2)  After  the  3  pennies  were  removed,  the  ratio  of  pennies  to  nickels  in  the  jar  was  3:2.    Q14.  A farmer has 4 henhouses, each containing 6 egg-laying hens. Each henhouse is painted a different color: red, blue, green, and yellow. What was the average egg yield per hen last week? 1)  The hens in the red and blue henhouses yielded a total of 36 eggs last week. 2) The hens in the blue and yellow henhouses yielded a total of 48 eggs last week. Q15. If this year there are 2,500 more Brand X consumers than last year, by what percent has the number of Brand X consumers increased from last year to this year? 1) There are 1.5 times as many Brand X consumers this year as last year. 2) The number of Brand X consumers this year is 7,500.  

Data  Analysis    Q1. An express train traveled at an average speed of 100 kilometers per hour, stopping for 3 minutes after every 75 kilometers. A local train traveled at an average speed of 50 kilometers, stopping for 1 minute after every 25 kilometers. If the trains began traveling at the same time, how many kilometers did the local train travel in the time it took the express train to travel 600 kilometers? A) 300 B) 305 C) 307.5 D) 1200 E) 1236  Q2.  Every  student  of  a  certain  school  must  take  one  and  only  one  elective  course.  In  last  year,  1/2  of  the  students  took  biology  as  an  elective,  1/3  of  the  students  took  chemistry  as  an  elective,  and  all  of  the  other  students  took  physics.  In  this  year,  1/3  of  the  students  who  took  biology  and  1/4  of  the  students  who  took  chemistry  left  school,  other  students  did  not  leave,  and  no  fresh  student  come  in.  What  fraction  of  all  students  took  biology  and  took  chemistry?    A) 7/9 B) 6/7 C) 5/7 D) 4/9 E) 2/5 Q3. In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products? A) 5 B) 10 C) 15 D) 20 E) 25      

Q4.  Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pony jeans? (A) 9% (B) 10% (C) 11% (D) 12% (E) 15%  Q5. If 75% of a class answered the 1st question on a certain test correctly, 55% answered the 2nd question on the test correctly and 20% answered neither of the questions correctly, what percent answered both correctly? A) 10% B) 20% C) 30% D) 50% E) 65% Q6.  A  merchant  sells  an  item  at  a  20%  discount,  but  still  makes  a  gross  profit  of  20  percent  of  the  cost.  What  percent  of  the  cost  would  the  gross  profit  on  the  item  have  been  if  it  had  been  sold  without  the  discount?    A)  20%    B)  40%    C)  50%    D)  60%    E)  75%    Q7.  A  committee  of  6  is  chosen  from  8  men  and  5  women  so  as  to  contain  at  least  2  men  and  3  women.  How  many  different  committees  could  be  formed  if  two  of  the  men  refuse  to  serve  together?    (A)  3510  (B)  2620  (C)  1404  (D)  700  (E)  635    

Q8.  Goldenrod  and  No  Hope  are  in  a  horse  race  with  6  contestants.  How  many  different  arrangements  of  finishes  are  there  if  No  Hope  always  finishes  before  Goldenrod  and  if  all  of  the  horses  finish  the  race?    (A)  720  (B)  360  (C)  120  (D)  24  (E)  21   Q9.  A  photographer  will  arrange  6  people  of  6  different  heights  for  photograph  by  placing  them  in  two  rows  of  three  so  that  each  person  in  the  first  row  is  standing  in  front  of  someone  in  the  second  row.  The  heights  of  the  people  within  each  row  must  increase  from  left  to  right,  and  each  person  in  the  second  row  must  be  taller  than  the  person  standing  in  front  of  him  or  her.  How  many  such  arrangements  of  the  6  people  are  possible?    A. 5  B.  6  C.  9  D.  24  E.  36  

 Q10.  Two  machine  types,  Type  R  and  Type  S,  operate  at  a  constant  rate.  R  does  a  job  in  36  hours.  S  does  same  job  in  18.  If  we  use  the  same  number  of  each  type  to  do  the  job  in  2  hours,  how  many  Type  r  machines  do  we  need?    

A)  3  B)  4  C)  6  D)  9  E)  12    

Q11.  For  a  finite  set  of  nonzero  numbers,  the  number  of  variations  in  sign  is  defined  as  the  number  of  pairs  of  consecutive  terms  of  the  sequence  for  which  the  product  of  the  consecutive  terms  is  negative.  What  is  the  number  of  variations  in  sign  for  the  sequence  1,  -­‐3,  2,  5,  -­‐4,  -­‐6?    

A)  1  B)  2  C)  3  D)  4  

E)  5    

 Q12.  Circular  gears  P  &  Q  start  rotating  at  the  same  time  at  constant  speeds.  Gear  P  rotates  at  10  revs/min  and  gear  Q  at  40  revs/min.  How  many  seconds  after  gears  start  rolling  will  Q  have  made  exactly  6  more  revs  than  P    

A)    6  B)  8  C)  10  D)  12  E)  15  

 Q13.  The  rate  of  a  reaction  is  directly  proportional  to  the  square  of  the  concentration  of  A  and  inversely  proportional  to  concentration  of  B.  If  B  increases  by  100%,  which  of  the  following  is  closest  to  the  %  change  in  concentration  of  A  required  to  keep  the  rate  unchanged?    

A)  100%  decrease  B)  50%  decrease  C)  40%  decrease  D)  40%  increase  E)  50%  increase  

 Q14.  Three  grades  of  milk:  1%,  2%,  and  3%  fat  by  volume.  X  gallons  of  1%,  y  gallons  of  2%,  and  z  gallons  of  3%  are  mixed  to  give  x  +  y  +  z  gallons  of  1.5%.  What  is  x  in  terms  of  y  and  z?    

A)  y  +  3z  B)  (y  +  z)/4  C)  2y  +  3z  D)  3y  +  z  E)  3y  +  4z    

Q15.  Dealer  sold  1  car  at  a  profit  of  25%  of  purchase  price,  and  sold  another  car  at  a  loss  of  20%  of  purchase  price.  If  dealer  sold  each  car  for  $20000,  what  was  dealer’s  total  profit  or  loss  in  dollars  for  the  2  transactions  combined?    

A)  1000  profit  B)  2,000  profit  C)  1000  loss  D)  2000  loss  E)  3334  loss