niryuu/sni-each-converted huggingface dataset:
Jackie wants to place some photographs into her photo album and discovers that pages 10 through 25, including 10 and 25, are unfilled. If she can place 4 photographs on each unfilled page, what is the total number of photographs she can place on these pages?
(A)68 (B)64 (C)60 (D)16 (E)15
Output: B
A lumber company producing 13-inch boards can only sell ones cut between \(12 \frac{15}{16}\) and \(13 \frac{1}{16}\). If it sells a board that is x inches long, which of the following describes all possible values ofx?
(A)\(|x - 13| = \frac{1}{16}\) (B)\(|x + 13| = \frac{1}{16}\) (C)\(|x - 13| > \frac{1}{16}\) (D)\(|x + 13| < \frac{1}{16}\) (E)\(|x - 13| < \frac{1}{16}\)
Output: E
Eduardo drives to school at an average speed of 60 miles per hour and returns along the same route at an average speed of 30 miles per hour. If his total travel time is 3 hours, what is the total number of miles in the round trip?
(A)220 (B)190 (C)120 (D)85.5 (E)60
Output: C
After 4 apples were added to a sack, there were 3 times as many apples in the sack as before. How many apples were in the sack before the addition?
(A)0 (B)1 (C)2 (D)3 (E)4
Output: C
Hillary buys a television on a 12-month installment plan. If each of her first three installments is twice as much as each of her nine remaining installments, and her total payment is $600, how much is her first installment?
(A)\$20 (B)\$35 (C)\$40 (D)\$65 (E)\$80
Output: E
The number of turtles in Mosquito Pond has doubled every three years since the pond was discovered. The number of turtles in the pond can be described as \(n = (x)2^{\frac{t}{3}}\), where t is the number of years since the pond was discovered, n is the number of turtles in the pond at time t, and x is the number of turtles in the pond when it was discovered. If there were 160 turtles in Mosquito Pond nine years after it was discovered, then how many turtles lived in the pond the year it was discovered?
(A)2 (B)10 (C)20 (D)40 (E)160
Output: C
There are y sculptures in a gallery. If one is to be selected at random from the collection, the probability that a bronze statue will be selected is \(\frac { 2 } { 5 } \). In terms of \(y\), how many of the sculptures are bronze statues?
(A)\(\frac { y } { 5 } \) (B)\(\frac { 2y } { 5 } \) (C)\(\frac { 5y } { 2 } \) (D)\(\frac { 7y } { 5 } \) (E)\(5y\)
Output: B
A certain brand of soup contains 10 percent tomato paste by volume. Which of the following expressions represents the percent of tomato paste by volume in a mixture of s cups of soup and w cups of water?
(A)\(\frac{10s}{w}\)\% (B)\(\frac{10}{s + w}\)\% (C)\(\frac{s + w}{10}\)\% (D)\(\frac{10s}{s + w}\)\% (E)\(\frac{s}{10(s + w)}\)\%
Output: D
A certain company employs 25 women and 25 men. Some employees drive to work and the rest take public transportation. If 29 employees drive to work, and exactly 6 men take public transportation, how many women drive to work?
(A)6 (B)8 (C)10 (D)11 (E)13
Output: C
If it takes 10 people 18 hours to do a certain job, how many hours would it take 15 people, working at the same rate, to do \(\frac { 2 } { 3 } \) of the same job?
(A)6 (B)8 (C)9 (D)10 (E)12
Output: B
Harry bought a bag of 10 pound flour for \$80, a bag of 25 pound flour for \$150 and a bag of 50 pound flour. If the average (arithmetic mean) cost of the flour in all three bags was \$6.00 per pound, what was the price of the bag of 50 pound flour?
(A)\$200.00 (B)\$237.50 (C)\$230.00 (D)\$235.50 (E)\$280.00
Output: E
If Wally's Widget Works is open exactly 20 days each month and produces 80 widgets each day it is open, how many years will it take to produce 96,000 widgets?
(A)less than 5 (B)5 (C)more than 5 but less than 10 (D)10 (E)more than 10
Output: B
Brigitte's average (arithmetic mean) on her six math tests this marking period is 75. Fortunately for Brigitte, her teacher drops each student's lowest grade, thus raising Brigitte's average to 85. What was her lowest grade?
(A)20 (B)25 (C)30 (D)40 (E)50
Output: B
There are an equal number of dogs and cats at a clinic. After 2 dogs and 8 cats are taken home, there are three times as many dogs as cats still at the clinic. How many cats are still at the clinic?
(A)Three (B)Four (C)Six (D)Eight (E)Nine
Output: A
Four students reach into a bag of coins. Steve grabs \(\frac{1}{3}\) of the coins, Joe grabs \(\frac{1}{4}\), and Kyle grabs \(\frac{1}{6}\). If Ryan gets the remaining 6 coins, how many coins were originally in the bag?
(A)12 (B)18 (C)24 (D)27 (E)281
Output: C
If k friends contribute d dollars each, and that money is distributed equally among c number of charities, how much money is received by each charity?
(A)\(\frac{kd}{c}\) (B)\(\frac{c}{dk}\) (C)\(dk + c\) (D)\(\frac{dc}{k}\) (E)\((k - c)d\)
Output: A
The number of baseball cards in Caleb's collection doubles every three months. If after 9 months he has b baseball cards, then which of the following is an expression for the number of baseball cards in his collection after y years?
(A)\(2^yb\) (B)\(2^ { 4y - 3 } b\) (C)\(2^ { 4y } b\) (D)\(2b^ { 4y + 3 } \) (E)\(2^yb^ { y + 2 } \)
Output: B
The number of students who order hot lunch by the month at the Tucker Elementary School varies directly with the number of times pizza appears on the lunch menu during that month. If 135 students order hot lunch when pizza appears three times on the menu, how many students order hot lunch when pizza appears eight times on the menu?
(A)260 (B)295 (C)325 (D)360 (E)405
Output: D
There are nine classrooms in a particular school. Each classroom has at least 24 students and at most 30 students. Which of the following could be the total number of students in the school?
(A)90 (B)100 (C)200 (D)250 (E)300
Output: D
Fruit 1 is an apple. Fruit 5 is the same as fruit 2. Fruit 2 is an orange. Fruit 6 is a banana. Fruit 3 is not an apple. Fruit 7 is not a banana. Fruit 4 is the same as fruit 1. If a bag contains 20 pieces of fruit of three types (apples, oranges, bananas), and 7 pieces of fruit are chosen according to the rules above, which of the following must be true?
(A)Only one apple is drawn. (B)Only one orange is drawn. (C)Two apples are drawn. (D)At least two bananas are drawn. (E)At least two apples are drawn.
Output: E
If \(p\) items can be purchased for 60 dollars, how many items can be purchased for \(w\) dollars?
(A)\(\frac { wp } { 60 } \) (B)\(\frac { w } { 60p } \) (C)\(\frac { 60p } { w } \) (D)\(\frac { 60 } { wp } \) (E)\(\frac { 60w } { p } \)
Output: A
At 2 PM in Littleville, New York, it is 7 PM in Williamshire, England. A satellite orbiting Earth is visible in Littleville at 7 AM (Littleville time) but does not cross the sky over Williamshire until 6 PM (Williamshire time). A second satellite is seen over Williamshire at noon (Williamshire time) and takes the same amount of time to become visible in Littleville. When, in Littleville time, does the second satellite become visible?
(A)11:00 AM (B)1:00 PM (C)5:00 PM (D)6:00 PM (E)11:00 PM
Output: B
One-half of the water in a pond evaporates each week. There are 2,400 gallons of water in the pond at the end of the third week. In gallons, how much less water is in the pond at the end of seventh week than at the end of the third week?
(A)2,250 (B)1,975 (C)1,800 (D)950 (E)150
Output: A
At a certain company, the annual Winter Party is always held on the second Friday of December. What is the latest possible date for the party?
(A)December 14 (B)December 15 (C)December 18 (D)December 20 (E)December 22
Output: A
A class of 8 students had an average (arithmetic mean) test score of 76 on its first test. On the second test, all but two students received the same score as they did on the first test. One student received a 96 instead of a 72, and another received a 70 instead of a 62. What was the average score on the second test?
(A)80 (B)78 (C)76 (D)74 (E)72
Output: A
Sam's locker combination consists of three two-digit numbers. The combination satisfies the three conditions below. One number is even. One number is a multiple of 3. One number is the day of the month on which school started. If each number satisfies exactly one of the conditions, which of the following could be the locker combination?
(A)\(10-23-15\) (B)\(24-18-13\) (C)\(12-20-26\) (D)\(15-21-26\) (E)\(34-30-21\)
Output: A
The planet Caleb makes one complete rotation on its axis every 36 Earth hours. If it turns at a constant rate, through how many degrees does any point on Caleb, except the poles, rotate from 9 am January 14th to 9 pm January 17th?
(A)480 (B)720 (C)840 (D)900 (E)1,080
Output: C
A gas tank with a capacity of \(g\) gallons is empty. A pump can deliver \(h\) gallons of gas every \(t\) seconds. In terms of \(g\), \(h\) and \(t\), how many seconds will it take this pump to fill the tank?
(A)\(\frac { g } { ht } \) (B)\(\frac { t } { gh } \) (C)\(\frac { gh } { t } \) (D)\(\frac { gt } { h } \) (E)\(\frac { h } { gt } \)
Output: D
If A is 25 kilometers east of B, which is 12 kilometers south of C, which is 9 kilometers west of D, how far, in kilometers, is A from D?
(A)20 (B)\(5\sqrt { 34 } \) (C)\(5\sqrt { 41 } \) (D)\(10\sqrt { 13 } \) (E)1
Output: A
A new airplane can travel at speeds up to 4,680 miles per hour. Assuming that the airplane is traveling at top speed, how many miles can it travel in 10 seconds?
(A)1.3 (B)7.8 (C)13 (D)78 (E)130
Output: C
A supermarket buys cartons of orange juice for k dollars each and then sells them for \(\frac{4k}{3}\) dollars each. How many cartons does it need to sell to make a profit of $2,000?
(A)\(\frac{2,000}{k}\) (B)\(\frac{6,000}{k}\) (C)\(\frac{k}{2,000}\) (D)\(\frac{k}{6,000}\) (E)6,000k
Output: B
Kim owned \(\$100\). After winning \(\$p\) in one game and losing \(\$q\) in the next game, she owned \(\$80\). What is the value of \(p - q\)?
(A)10 (B)20 (C)30 (D)-10 (E)-20
Output: E
A number of people boarded a bus at the terminal. At the first stop, half of the passengers got off and 1 got on. At the second stop, \(\frac { 1 } { 3 } \) of the passengers on the bus got off and 1 got on. If the bus then had 15 passengers, how many were there when the bus left the terminal?
(A)40 (B)48 (C)58 (D)60 (E)62
Output: A
After 6 new cars entered the parking lot and 2 cars left the parking lot, there were 2 times as many cars as before. How many cars were parked in the parking lot before the changes?
(A)2 (B)4 (C)6 (D)8 (E)10
Output: B
Each time that Sophie counted her marbles by either 3's or 5's she had one left over. But when she counted them by 7's she had none left over. What is the least number of marbles she could have had?
(A)35 (B)49 (C)70 (D)91 (E)105
Output: D
Stephanie, Damon, and Karissa have been contracted to paint an office building that contains 72 rooms. If Stephanie paints half as many rooms as Karissa and 12 more than Damon, how many rooms does Karissa paint?
(A)9 (B)21 (C)30 (D)42 (E)48
Output: D
Five people stand in line: three men, Denzel, Melvin, and Aneet, and two women, Janine and Susan. The order in which they stand must match the following conditions: A man is not first in line. Denzel is ahead of Janine in the line. A woman must stand fourth in line Melvin cannot stand next to Denzel. In which position does Melvin stand in the line?
(A)First (B)Second (C)Third (D)Fourth (E)Fifth
Output: E
Heidi wrote the number 1 on 1 slip of paper, the number 2 on 2 slips of paper, the number 3 on 3 slips of paper, the number 4 on 4 slips of paper, the number 5 on 5 slips of paper, and the number 6 on 6 slips of paper. All the slips of paper were placed in a bag, and Sally drew 1 slip at random. What is the probability that the number on the slip Sally drew was odd?
(A)\(\frac { 1 } { 9 } \) (B)\(\frac { 1 } { 7 } \) (C)\(\frac { 3 } { 7 } \) (D)\(\frac { 1 } { 2 } \) (E)\(\frac { 4 } { 7 } \)
Output: C
A caterer has 120 slices ofbread, 75 slices of ham, and 75 slices of cheese. If she needs to make sandwiches each consisting of 2 slices of bread, 1 slice of ham, and 1 slice of cheese, what is the greatest number of sandwiches she can make?
(A)60 (B)65 (C)75 (D)90 (E)120
Output: A
In a certain game, words earn points based on the letters in each word. The letters a, s, and k are each worth 8 points, and all other letters are worth 2 points each. How many points would the word "sandblaster" earn in this game?
(A)10 (B)22 (C)28 (D)38 (E)46
Output: E
If there are \(m\) gallons of salt water that is\( m\%\) salt, how many gallons of water must be added to make a solution that is \(10\%\) salt?
(A)\(\frac { m - 10 } { 10 } \) (B)\(\frac { m^2 } { m - 10 } \) (C)\(\frac { m^2 - 10m } { 10 } \) (D)\(\frac { 10 } { m^2 - 10 } \) (E)\(\frac { m^2 - 10 } { m + 10 } \)
Output: C
Suraj solved m physics problems on Monday, three times as many physics problems on Tuesday as on Monday, and three more than twice as many physics problems on Wednesday as on Monday. What is the average (arithmetic mean) number of physics problems he solved per day over the three days?
(A)\(6m + 1\) (B)\(\frac{10}{3}m + 1\) (C)\(2m + 3\) (D)\(2m + 1\) (E)\(2m - 1\)
Output: D
Aaron scored 84 points on a test made up of 10 eight-point short-answer questions and 8 five-point multiple-choice questions. If no partial credit was given and he missed 2 short-answer questions, how many questions did Aaron miss on the whole test?
(A)6 (B)10 (C)11 (D)12 (E)20
Output: A
At a basketball tournament involving 8 teams, each team played 4 games with each of the other teams. How many games were played at this tournament?
(A)64 (B)98 (C)112 (D)128 (E)224
Output: C
There are \(n\) students in a chemistry class, and only \(s\) of them are seniors. If \(j\) juniors are added to the class, what percent of the students in the class will not be seniors?
(A)\(\frac { s } { n } \times 100\%\) (B)\(\frac { n - s } { n } \times 100\%\) (C)\(\frac { n } { n + s } \times 100\%\) (D)\(\frac { n - s } { n + j } \times 100\%\) (E)\(\frac { n - s + j } { n + j } \times 100\%\)
Output: E
A field contains 4,500 flowers that are either roses, daisies, or daffodils. If 18\% are daisies and 18\% are daffodils, what percent of flowers are roses?
(A)18\% (B)36\% (C)46\% (D)64\% (E)82\%
Output: D
How many minutes did John take, driving at 20 miles per hour, to go the same distance that Mary took 30 minutes to drive at 60 miles per hour?
(A)10 (B)30 (C)60 (D)90 (E)180
Output: D
A class of 30 students had an average (arithmetic mean) of 92 points on a geography test out of a possible 100. If 10 of the students had a perfect score, what was the average score for the remaining students?
(A)58 (B)87 (C)88 (D)90 (E)92
Output: C
For the annual school fundraiser, Santiago has \(p\) pledges each for \(c\) cents per lap that he jogs. If his school track has 4 laps per mile and Santiago raises a total of \(d\) dollars, how many miles did he jog in terms of \(p\), \(c\), and \(d\) ?
(A)\(\frac { 25d } { pc } \) (B)\(\frac { 4pc } { d } \) (C)\(\frac { 100d } { pc } \) (D)\(4pcd\) (E)\(25pcd\)
Output: A
At a dinner ceremony, each guest is given the choice of four different appetizers and seven entries. How many different combinations are there of one appetizer and one entree?
(A)3 (B)11 (C)14 (D)22 (E)28
Output: E
Benjamin and Jerry start with the same number of trading cards. After Benjamin gives 12 of his cards to Jerry, Jerry has two limes as many cards as Benjamin does. How many cards did Benjamin have at the start?
(A)18 (B)24 (C)36 (D)40 (E)42
Output: C
A school's honor society has 100 members: 40 boys and 60 girls, of whom 30 are juniors and 70 are seniors. What is the smallest possible number of senior boys in the society?
(A)0 (B)5 (C)10 (D)15 (E)20
Output: C
At Camp David, there is one adult for every \(p\) campers. If there are \(c\) campers in each tent group, how many adults are needed for \(t\) tent groups?
(A)\(\frac { cp } { t } \) (B)\(\frac { pt } { c } \) (C)\(\frac { ct } { p } \) (D)\(pct\) (E)\(pc + t\)
Output: C
Tariq has $10 and wants to buy 21 oranges at $0.30 each and 12 apples at $0.50 each. If there is no sales tax, how much more money does he need?
(A)\$2.00 (B)\$2.30 (C)\$2.60 (D)\$12.00 (E)\$12.30
Output: B
The number of tulips that Samantha grows each season varies directly with the age of her daughter Kim. If Samantha grew 16 tulips when Kim was 10 years old, how many tulips will she grow when Kim is 25 years old?
(A)25 (B)26 (C)30 (D)40 (E)45
Output: D
Kyanna used three pieces of ribbon, each 8 inches long, to make each hair bow for her craft project. Kyanna had a 200-foot spool of ribbon when she started. If no ribbon was wasted, which of the following represents the number of feet of ribbon that was left on the roll after she made g hair bows? (12 inches \(=\) 1 foot)
(A)\(200 - 8g\) (B)\(200 - 2g\) (C)\(200 - g\) (D)\(200 - \frac{1}{2}g\) (E)\(200 - \frac{1}{4}g\)
Output: B
Every year the population of Northville is \(\frac { 3 } { 4 } \) of what it was 10 years earlier. If there are currently 800 people living in Northville, how many people will live there in 20 years?
(A)10 (B)200 (C)400 (D)450 (E)600
Output: D
An arrow is shot upward on the moon with an initial velocity of 60 meters per second and returns to the surface after 60 seconds. If the height is given by the formula \(h = t(60 - t)\), what is the maximum height that the arrow reaches?
(A)300 meters (B)600 meters (C)900 meters (D)1200 meters (E)1500 meters
Output: C
After selling \(\frac { 1 } { 3 } \) of the muffins he made for the school bake sale, Alan then sold an additional 10 muffins, leaving him with \(\frac { 1 } { 2 } \) of the number of muffins he started with. How many muffins did Alan start with?
(A)30 (B)42 (C)50 (D)60 (E)75
Output: D
Selena has two types of records, worth a total of \$41.75. Of her 25 records, b records are worth \$1.25 each and the remaining d records are worth \$2.30 each. Selena has no other types of records . Which of the following sets of equations can be solved to determine how many of each record type Selena has?
(A)\(b + d = 4l.75 3.55(b + d) = 25\) (B)\(3.55 (b + d) = 41.75 l.25(b + d) = 2.30\) (C)\(3.55(b + d) = 41.75 1.25b + 2.30d = 25\) (D)\(b + d = 25 2.30b + 1.25d = 41.75\) (E)\(b + d = 25 1.25b + 2.30d = 41.75\)
Output: E
Mr. Gomes wrote a number on the blackboard. When he added 3 to the number, he got the same result as when he multiplied the number by 3. What was the number he wrote?
(A)-3 (B)0 (C)1.5 (D)\(\sqrt { 3 } \) (E)3
Output: C
Depending on the cycle, washing a load of clothes takes from 22 to 28 minutes. Drying takes an additional 20 to 30 minutes. What are the minimum and maximum total times to complete a load of laundry?
(A)22 minutes and 28 minutes (B)28 minutes and 48 minutes (C)28 minutes and 58 minutes (D)42 minutes and 48 minutes (E)42 minutes and 58 minutes
Output: E
Faisel watches television for a total of three hours. During the first hour, he has his choice of three shows. For each of the second and third hours, he can choose from two shows. How many different schedules of shows can Faisel watch?
(A)3 (B)6 (C)7 (D)8 (E)12
Output: E
Theresa is comparing the length of four magazine articles. The first article begins on page 1 and ends on page 7. The second article begins on page 17 and ends on page 24. The third article begins on page 28 and ends on page 31, and the fourth article begins on page 52 and ends on page 56. What is the median number of pages in these articles?
(A)4 (B)5 (C)6 (D)7 (E)8
Output: C
Mr. Barua teaches for 3.5 hours on each day that he is scheduled to teach. If he teaches \(d\) days per year, then which of the following is an expression for the total number of hours he teaches per year?
(A)\(3.5d\) (B)\(365d\) (C)\(d + 3.5\) (D)\(\frac { d } { 3.5 } \) (E)\(\frac { 3.5 } { d } \)
Output: A
A jar contained red and green marbles in a ratio of 3 to 4. After 6 red marbles are added to the jar, the ratio becomes 3 to 2. How many green marbles does the jar now contain?
(A)3 (B)4 (C)6 (D)8 (E)14
Output: D
While biking on a 50-mile path, Jerry averages 5 miles per hour for the first h hours. In terms of h, where \(h < 10\), how many miles remain to be traveled?
(A)\(\frac{50}{5h}\) (B)\(50 - 5h\) (C)250h (D)\(50 - \frac{5}{h}\) (E)\(5h - 50\)
Output: B
The volume of pitcher I is A ounces, and the volume of pitcher II is B ounces, with B > A. If pitcher II is full of water and pitcher I is empty, and if just enough water is poured from pitcher II to fill pitcher I, what fraction of pitcher II is now full?
(A)\(\frac { 1 } { 2 } \) (B)\(\frac { 1 } { B } \) (C)\(\frac { A } { B } \) (D)\(\frac { A - B } { B } \) (E)\(\frac { B - A } { B } \)
Output: E
The number of cells growing in a particular Petri dish doubles every 30 minutes. If at 8:00 am there were 60 cells in the dish how many were there at noon of the same day?
(A)\(60 \times 2^ { -8 } \) (B)\(60 \times 2^ { -4 } \) (C)\(60 \times 2^4\) (D)\(60 \times 4^4\) (E)\(60 \times 4^8\)
Output: D
Steve took a bike trip in which he covered half the total distance on Monday. After going 100 kilometers on Tuesday, he determined that he still had 10\% of the trip to complete. What was the total length, in kilometers, of the trip?
(A)200 (B)250 (C)400 (D)500 (E)600
Output: B
If a solution of iodine and alcohol contains 4 ounces of iodine and 16 ounces of alcohol, how many ounces of alcohol must evaporate so that the ratio of iodine to the solution is 2 to 3?
(A)6 (B)7 (C)8 (D)10 (E)14
Output: E
It takes 5 complete turns of the crank to raise a fishing rod hook 2 feet. At this rate, how many turns will it take to raise the hook 4.4 feet?
(A)4.4 (B)11 (C)22 (D)33 (E)44
Output: B
Laurel is taller than Nick but shorter than Vince. If we let the letters L, N, and V represent the heights of Laurel, Nick, and Vince, in that order, which of these is true?
(A)\(L < N < V\) (B)\(L < V < N\) (C)\(N < L < V\) (D)\(N < V < L\) (E)\(V < L < N\)
Output: C
Serena has three photographs from Brazil - a 1andscape, a street scene, and a portrait. She also has three photographs from Kenya - a landscape, a street scene and a portrait - and three photographs from Istanbul: a landscape, a street scene, and a portrait. Serena wants to display three photographs: one landscape, one street scene, and one portrait, and also wants to use one each from Brazil, Kenya, and Istanbul. How many different possibilities does she have?
(A)1 (B)3 (C)6 (D)9 (E)27
Output: C
Each student in a cooking class of 50 students is assigned to create a dessert, an appetizer, or both. The total number of students creating an appetizer is seven more than the number of students creating a dessert. If the number of students who create two dishes is the same as number of students who create exactly one dish, how many students created one dessert?
(A)9 (B)16 (C)25 (D)34 (E)41
Output: A
In a certain neighborhood, the number of cats is inversely proportional to the number of dogs. At one point, there were 10 cats and 50 dogs in the neighborhood. If today there are 20 dogs in the neighborhood, how many cats are in the neighborhood?
(A)4 (B)8 (C)15 (D)20 (E)25
Output: E
A telephone call cost 2 dollars for the first three minutes and 20 cents each additional minute. If a call started at 10:20 a.m. and ended at 10:50 a.m., how much did the call cost?
(A)\$7.00 (B)\$7.20 (C)\$7.40 (D)\$8.00 (E)\$8.20
Output: C
If a team played g games and won w of them, what fraction of the games played did the team lose?
(A)\(\frac { w - g } { w } \) (B)\(\frac { w - g } { g } \) (C)\(\frac { g - w } { g } \) (D)\(\frac { g } { g - w } \) (E)\(\frac { g - w } { w } \)
Output: C
At a certain grocery store, \(a\) customers each spend an average of \$30 every \(b\) hours. In dollars, how much do customers spend at this store in \(c\) hours?
(A)\(\frac { 30c } { ab } \) (B)\(\frac { bc } { 30a } \) (C)\(\frac { 30bc } { a } \) (D)\(\frac { 30ac } { b } \) (E)\(\frac { 30b } { ac } \)
Output: D
Stephan takes 240 minutes to draw 20 pictures. Pavel draws three times as fast as Stephan. How many pictures can Pavel draw in 6 hours?
(A)30 (B)40 (C)60 (D)90 (E)120
Output: D
By noon, \(\frac{1}{4}\) of Company X's employees had arrived to work. An hour later, 30 more employees had arrived, raising total attendance to \(\frac{1}{2}\) of the total staff. How many employees work for Company X?
(A)30 (B)45 (C)60 (D)120 (E)135
Output: D
In 2000, the cost of p pounds of potatoes was d dollars. In 2010, the cost of 2p pounds of potatoes was \(\frac { 1 } { 2 } d\) dollars. By what percent did the price of potatoes decrease from 2000 to 2010?
(A)25\% (B)50\% (C)75\% (D)100\% (E)400\%
Output: C
Marvin eats 3 bananas and 1 apple every day. If the cost of each banana is b dollars and the cost of each apple is a dollars, which of the following represents the total cost, in dollars, of the bananas and apples Marvin eats in 1 week? (1 week = 7 days).
(A)\(7b + a\) (B)\(21b + a\) (C)\(7(b + a)\) (D)\(7(b + 3a)\) (E)\(7(3b + a)\)
Output: E
Maja has the following scores on 7 quizzes in French class: 81,76,80,84,78,91,84. What was the median score of her French quizzes?
(A)78 (B)81 (C)82 (D)83 (E)84
Output: B
After 4 new people entered the elevator and 2 people left the elevator, there were 2 times as many people as before. How many people were in the elevator before the changes?
(A)1 (B)2 (C)4 (D)6 (E)8
Output: B
In a display consisting of one row of coins, there are an equal number of silver and gold coins. Which of the following must be true?
(A)The first coin and the last coin are different types. (B)There are two adjacent gold coins in a row. (C)There are two adjacent silver coins in a row. (D)If there are two adjacent silver coins, there are also two adjacent gold coins. (E)If the last two coins are gold, there are at least two adjacent silver coins.
Output: E
A bicyclist riding at 12 miles an hour for 2 hours travels twice the distance a hiker travels walking at 4 miles an hour for how many hours?
(A)2 (B)3 (C)4 (D)5 (E)6
Output: B
On a map, 1 centimeter represents 6 kilometers. A square on the map with a perimeter of 16 centimeters represents a region with what area?
(A)\(64 km^2\) (B)\(96 km^2\) (C)\(256 km^2\) (D)\(576 km^2\) (E)\(8216 km^2\)
Output: D
Thirty years ago, Mr. and Mrs. Lopez purchased a house. On average, the value of the house has doubled every 6 years. If the house is worth \$320,000 today, what did they pay for it 30 years ago?
(A)\$5,000 (B)\$10,000 (C)\$64,000 (D)\$160,000 (E)\(\$320,000 \times 2^5\)
Output: B
The number of instances of illness that a person has in one year is inversely proportional to the average (arithmetic mean) number of hours that person sleeps per night. If last year Lori slept an average of 8 hours per night and was ill 3 times, how many times would she have been ill if she had slept an average of 6 hours per night?
(A)2.25 (B)3 (C)3.5 (D)4 (E)4.75
Output: D
If an alarm beeps at a constant rate of 16 beeps per minute, how many minutes will it take to beep 88 times?
(A)5 (B)5.5 (C)6.5 (D)23.5 (E)1408
Output: B
If \(c\) carpenters can build a garage in \(d\) days, how many days will it take \(e\) carpenters, working at the same rate, to build 2 garages?
(A)\(\frac { 2cd } { e } \) (B)\(\frac { 2d } { ce } \) (C)\(\frac { 2e } { cd } \) (D)\(\frac { cd } { 2e } \) (E)\(\frac { ce } { 2d } \)
Output: A
A car going 40 miles per hour set out on an 80-mile trip at 9:00 A.M. Exactly 10 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught up with the first car at 10:30 A.M.?
(A)45 (B)50 (C)53 (D)55 (E)60
Output: A
At a certain restaurant, there are 25 tables and each table has either 2 or 4 chairs. If there is a total of 86 chairs accompanying the 25 tables, how many tables have exactly 4 chairs?
(A)9 (B)12 (C)15 (D)18 (E)21
Output: D
After 21 students were added to a class, there were four times as many students as before. How many students were in the class before the addition?
(A)3 (B)7 (C)11 (D)14 (E)17
Output: B
The only way to purchase Brand X muffins is to buy one or more boxes that each contain 6 muffins. Each box costs \$1.50. If Alejandro needs at least 20 muffins, what is the least amount of money he could spend?
(A)\$3.00 (B)\$4.50 (C)\$6.00 (D)\$7.50 (E)\$30.00
Output: C
A bowl contains punch made from pineapple juice, orange juice, and seltzer, in ratio of 2 : 3 : 1, respectively. If the bowl contains 2 liters of seltzer, how many liters of punch does the bowl contain?
(A)6 (B)8 (C)10 (D)12 (E)14
Output: D
A local store donated some markers to Mrs. Kettz's fourth-grade class. If each student takes 2 markers, there will be 16 markers left. If 4 students do not take any markers and the rest of the students take 6 markers, there will be no markers left. How many markers were donated to the class?
(A)24 (B)30 (C)36 (D)40 (E)48
Output: C
If 120 days ago was Friday, then 86 days from today falls on what day of the week?
(A)Monday (B)Tuesday (C)Thursday (D)Friday (E)Saturday
Output: A
If two coins are selected from a collection consisting of 2 pennies, 2 nickels, 2 dimes, and 2 quarters, how many different sums are possible?
(A)10 (B)16 (C)24 (D)36 (E)72
Output: A
What was the initial amount of water in a barrel, in liters, if there are now x liters, y liters were lost, and 6 liters were added?
(A)\(x + y - 6\) (B)\(y - x + 6\) (C)\(x + y + 6\) (D)\(y - x - 6\) (E)\(x - y + 6\)
Output: A
Last year Jose sold a painting for \$2000. If he made a 25\% profit on the sale, how much had he paid for the painting?
(A)\$1200 (B)\$1500 (C)\$1600 (D)\$2400 (E)\$2500
Output: C
John has more money than Billy but less than Sean. If j, b, and s represent the amounts of money of John, Billy, and Sean, respectively, which of the following is true?
(A)\(b < j < s\) (B)\(s < j < b\) (C)\(j < s < b\) (D)\(j < b < s\) (E)\(b < s < j\)
Output: A
The spare change on a dresser is composed of pennies, nickels, and dimes. If the ratio of pennies to nickels is 2:3 and the ratio of pennies to dimes is 3:4, what is the ratio of nickels to dimes?
(A)9:8 (B)5:7 (C)4:5 (D)3:4 (E)2:3
Output: A
So far this year, Adam has played 30 games of chess and has won only 6 of them. What is the minimum number of additional games he must play, given that he is sure to lose at least one-third of them, so that for the year he will have won more games than he lost?
(A)25 (B)34 (C)57 (D)87 (E)It is not possible for Adam to do this.
Output: C
The force needed to stretch a spring varies directly with the distance the spring is stretched from its equilibrium position. If 50 pounds of force stretch a spring 8 inches from equilibrium, how much, in inches, will the spring be stretched by a force of 75 pounds?
(A)10 (B)12 (C)33 (D)248 (E)468.75
Output: B
Nora has 10 fewer than twice the number of CDs that Deborah has. If n represents the number of Nora's CDs, and d represents the number of Deborah's CDs, which of the following is a correct equation relating n and d ?
(A)\(n = 2d - 10\) (B)\(n = 2(d - 10)\) (C)\(n = 10 - 2d\) (D)\(n = 2(10 - d)\) (E)\(n = 10 - (d +2)\)
Output: A
Jeweler A can set an average round-cut diamond in 20 minutes. Jeweler B requires 15 minutes to set the same type of diamond. In 8 hours, how many more diamonds can be set by Jeweler B than by Jeweler A?
(A)40 (B)24 (C)16 (D)8 (E)1
Output: D
If Anthony had 3 times as many marbles as he actually has, he would have 5 as many marbles as Billy has. What is the ratio of the number of marbles Anthony has to the number of marbles Billy has?
(A)1 : 9 (B)1 : 3 (C)1 : 1 (D)3 : 1 (E)9 : 1
Output: A
A father is \(t\) inches taller than his son. If their total height is \(p\), in terms of \(p\) and \(t\), what is the father's height, in inches?
(A)\(p - t\) (B)\(p + t\) (C)\(\frac { p - t } { 2 } \) (D)\(\frac { p + t } { 2 } \) (E)\(2p - t\)
Output: D
If Thomas went shopping with $15 and ended up with a debt of $5, how much money did he spend?
(A)\$5 (B)\$10 (C)\$15 (D)\$20 (E)\$25
Output: D
If a mixture of nuts consists of 3 pounds of peanuts, I pound of walnuts, and 5 pounds of cashews, by weight, what fraction of the mixture is peanuts?
(A)\(\frac { 1 } { 9 } \) (B)\(\frac { 1 } { 5 } \) (C)\(\frac { 1 } { 3 } \) (D)\(\frac { 3 } { 8 } \) (E)\(\frac { 1 } { 2 } \)
Output: C
Sharon has exactly 6 quarters, 5 dimes, and 10 nickels in her pocket. She pulls out a coin at random and puts it aside since the coin is not a quarter. If she pulls out a second coin at random from her pocket, what is the probability that the second coin is a quarter?
(A)\(\frac{3}{7}\) (B)\(\frac{3}{10}\) (C)\(\frac{3}{11}\) (D)\(\frac{6}{19}\) (E)\(\frac{1}{4}\)
Output: B
Let X represent the average (arithmetic mean) of a list of test scores. What is the result of multiplying X by the number of scores?
(A)The average of the scores (B)The highest score (C)The number of scores (D)The number of possible scores (E)The sum of the scores
Output: E
There are a total of 256 people at a party. If after every 5 minutes, half of the people present leave, how many people will still remain after 20 minutes?
(A)128 (B)80 (C)64 (D)32 (E)16
Output: E
Eva and Magnus took a road trip and shared the driving. Eva drove four times as many miles as Magnus drove. What percent of the total miles of the trip did Eva drive?
(A)70\% (B)75\% (C)80\% (D)85\% (E)90\%
Output: C
A certain box contains only black, blue, and red pens. If a pen is chosen at random from the box, the probability of choosing a black pen is \(\frac { 1 } { 4 } \) and the probability of choosing a blue pen is \(\frac { 1 } { 6 } \). What is the probability of choosing a red pen?
(A)\(\frac { 1 } { 24 } \) (B)\(\frac { 1 } { 12 } \) (C)\(\frac { 7 } { 12 } \) (D)\(\frac { 3 } { 4 } \) (E)It depends on the number of pens in the box.
Output: C
A gardener plants flowers in the following order: carnations, daffodils, larkspurs, tiger lilies, and zinnias. If the gardener planted 47 flowers, what kind of flower did he plant last?
(A)Carnation (B)Daffodil (C)Larkspur (D)Tiger lily (E)Zinnia
Output: B
The wholesale price of a car is w dollars. The retail price of this car is r percent greater than the wholesale price. During a special promotion, the retail price of the car is then discounted by s percent. Which of the following expressions represents the price, in dollars, of this car during the special promotion?
(A)\(w(\frac { r } { 100 } )(\frac { s } { 100 } )\) (B)\(w(1 + \frac { r } { 100 } )(1 -\frac { s } { 100 } )\) (C)\(w(\frac { rs } { 100 } )\) (D)\(w + \frac { wr } { 100 } - \frac { ws } { 100 } \) (E)\(w(\frac { wr } { 100 } - \frac { ws } { 100 } )\)
Output: B
Patty uses 2 gallons of paint to cover 875 square feet of surface. At this rate, how many gallons will she need to cover 4,375 square feet of surface?
(A)4 (B)5 (C)8 (D)10 (E)15
Output: D
Benjamin can type a full report in \(h\) hours. At this rate, how many reports can he type in \(m\) minutes?
(A)\(\frac { mh } { 60 } \) (B)\(\frac { 60m } { h } \) (C)\(\frac { m } { 60h } \) (D)\(\frac { 60h } { m } \) (E)\(\frac { h } { 60m } \)
Output: C
Phil's Phone Shop sells three models of cellular phones, priced at \$100, \$125, and \$225. In January, Phil sold exactly the same number of each model. What percent of the total income from the sales of cellular phones was attributable to sales of the cheapest model?
(A)\(22\frac { 2 } { 9 } \%\) (B)\(28\frac { 4 } { 7 } \%\) (C)\(33\frac { 1 } { 3 } \%\) (D)\(44\frac { 4 } { 9 } \%\) (E)It cannot be determined from the information given.
Output: A
While away at school, Eileen receives an allowance of $400 each month, 35 percent of which she uses to pay her bills. If she budgets 30 percent of the remainder for shopping, allots $130 for entertainment, and saves the rest of the money, what percentage of her allowance is she able to save each month?
(A)2.5\% (B)13\% (C)20\% (D)35\% (E)52\%
Output: B
The Suzukis are having a picnic at their house where they will serve pasta salad to all of the guests. One pound of pasta salad either serves 6 adults or 10 children. If the Suzukis have 34 guests, 10 of whom are children, how many pounds of pasta salad will they need to serve all of the guests?
(A)3 (B)4 (C)5 (D)6 (E)7
Output: C
At a certain party, an executive committee provided one soda for 8 people, one apple for 4 people and one cake for 6 people. If the total number of sodas, apples, and cakes was 78, how many people were at the party?
(A)48 (B)72 (C)96 (D)120 (E)144
Output: E
If 3 kilograms of rose petals are needed to produce 5 grams of perfume, how many kilograms of rose petals are needed to produce 870 grams of perfume?
(A)290 (B)522 (C)870 (D)1,450 (E)2,610
Output: B
The populations of two species of bacteria in a petri dish vary inversely. If there are 1,000 bacteria of species A when there are 500 bacteria of species B, how many bacteria of species B are there when there are 2,000 bacteria of species A ?
(A)250 (B)500 (C)750 (D)1,000 (E)2,000
Output: A
If \(p\) gallons of 10 percent antifreeze solution is added to \(q\) gallons of 20 percent antifreeze solution, what is the percent antifreeze of the resulting solution in terms of \(p\) and \(q\)?
(A)\(\frac { p + q } { 2 } \) (B)\(\frac { 10p + 20q } { 30 } \) (C)\(\frac { 10p + 20q } { p + q } \) (D)\(\frac { 10p + 20q } { 100 } \) (E)\(\frac { 100p + 200q } { p + q } \)
Output: C
If Jonas has already run 4 miles in a 20-mile race, what fraction of the race has he already run?
(A)\(\frac { 1 } { 80 } \) (B)\(\frac { 1 } { 24 } \) (C)\(\frac { 1 } { 8 } \) (D)\(\frac { 1 } { 6 } \) (E)\(\frac { 1 } { 5 } \)
Output: E
A television set costs $25 less than twice the cost of a radio. If the television and radio together cost $200, how much more does the television cost than the radio?
(A)\$50 (B)\$75 (C)\$100 (D)\$125 (E)\$150
Output: A
If every student in Mr. McNabb's class enjoys making masks, which of the following must be true?
(A)If a student enjoys making masks, then the student is not in Mr. McNabb's class. (B)If a student enjoys making masks, then the student is in Mr. McNabb's class. (C)If a student does not enjoy making masks, then the student is not in Mr. McNabb's class. (D)If a student is not in Mr. McNabb's class, then the student does not enjoy making masks. (E)If a student is in Mr. McNabb's class, then the student does not enjoy making masks.
Output: C
A bag contains 228 marbles, and one marble is selected at random. The probability of selecting a black marble is \(\frac { 5 } { 19 } \), and the probability of selecting a gold marble is \(\frac { 3 } { 38 } \). How many marbles in the bag are neither black nor gold?
(A)60 (B)78 (C)138 (D)150 (E)168
Output: D
There are 5 red, 5 green, 5 blue, and 5 yellow hats packaged in 20 identical, unmarked boxes, with 1 hat per box. What is the least number of boxes that must be selected in order to be sure that among the boxes selected, 4 or more contain hats of the same color?
(A)4 (B)8 (C)9 (D)12 (E)13
Output: E
Carmel is spinning a basketball on his finger so that it turns around completely every 1.5 seconds. How many degrees does the logo on the ball turn in 10 seconds, assuming it is not on the spinning axis?
(A)54 degrees (B)240 degrees (C)720 degrees (D)2,160 degrees (E)2,400 degrees
Output: E
A line of plastic ducks moves across a conveyor belt at a shooting gallery. The color of each duck follows the repeating pattern orange, green, red, blue, yellow, purple, continuing indefinitely. If the first duck is orange, what is the color of the 50th duck?
(A)Green (B)Red (C)Blue (D)Yellow (E)Purple
Output: A
Flour, sugar, and baking soda are mixed by weight in the ratio of 6:4:2, respectively, to produce a certain type of cookie. In order to make 6 pounds of this dough, what weight of sugar, in pounds, is required?
(A)4 (B)2 (C)\(\frac{7}{6}\) (D)\(\frac{1}{2}\) (E)\(\frac{1}{4}\)
Output: B
At a certain school, if the ratio of teachers to students is 1 to 10, which of the following could be the total number of teachers and students?
(A)100 (B)121 (C)144 (D)222 (E)1,011
Output: B
Ninety people work in a certain office. If the ratio of men to women is 7:8, how many more women than men work in the office?
(A)1 (B)2 (C)4 (D)6 (E)15
Output: D
The population density of a region is the number of people living in the region per square mile. Jackson County is a rectangle whose length is \(l\) miles and whose width is \(w\) miles. How many people live in Jackson County if its population density is \(d\)?
(A)\(dlw\) (B)\(\frac { lw } { d } \) (C)\(\frac { d } { lw } \) (D)\(\frac { 2(l + w) } { d } \) (E)\(\frac { l + w } { 2d } \)
Output: A
Alexis programmed her VCR to record for exactly 225 minutes. If it began recording at 9:05 A.M., at what time did it stop recording?
(A)11:30 AM (B)12:00 PM (C)12:30 PM (D)12:50 PM (E)1:00 PM
Output: D
Gilda drove 650 miles at an average speed of 50 miles per hour. How many miles per hour faster would she have had to drive in order for the trip to have taken I hour less?
(A)\(6\frac { 2 } { 3 } \) (B)\(4\frac { 2 } { 3 } \) (C)\(4\frac { 1 } { 3 } \) (D)\(4\frac { 1 } { 6 } \) (E)\(3\frac { 1 } { 3 } \)
Output: D
Laurie inherited 40\% of her father's estate. After paying a tax equal to 30\% of her inheritance, what percent of her father's estate did she own?
(A)10\% (B)12\% (C)25\% (D)28\% (E)30\%
Output: D
Janet produced 4 more paintings than three times the number of paintings Sam produced. Last year, Sam produced \(p\) paintings. Of the expressions below, which represents the number of paintings Janet produced last year?
(A)\(4 - 3p\) (B)\(4p - 3\) (C)\(4p + 3\) (D)\(3p - 4\) (E)\(3p + 4\)
Output: E
At a certain store, the price of a new compact disc is five times the price of a used compact disc. The difference between the two prices is ten dollars. What would be the total price of three used compact discs and two new compact discs at this store?
(A)\$26.00 (B)\$30.00 (C)\$32.50 (D)\$42.50 (E)\$45.00
Output: C
The Brighton High School Marching Band has x members. The Brighton Drum Corp has \(y\) members. If the Monroe Country All-Star Drum Line consists of all the members of the Brighton High school Marching Band and all the members of the Brighton Drum Corp except for the \(p\) common members (\(p > 0\)), then how many members does the Monroe Country All-Star Drum Line have in terms of \(x\), \(y\), and \(p\) ?
(A)\(x + y\) (B)\(x + y - p\) (C)\(x + y + 2p\) (D)\(x + y - 2p\) (E)\(2x + 2y - p\)
Output: D
If 60 percent of Jared's jigsaw puzzles have 50 pieces and 40 percent of his jigsaw puzzles have 30 pieces each, what is the average (arithmetic mean) number of pieces per puzzle?
(A)36 (B)38 (C)40 (D)42 (E)44
Output: D
Hoover High School has 840 students, and the ratio of the number of students taking Spanish to the number not taking Spanish is 4:3. How many of the students take Spanish?
(A)280 (B)360 (C)480 (D)560 (E)630
Output: C
In a jar of cookies, \(\frac { 1 } { 8 } \) of the cookies are oatmeal raisin, \(\frac { 1 } { 4 } \) are peanut butter, \(\frac { 1 } { 2 } \) are chocolate chip, and the remaining 12 cookies are mint. How many peanut butter cookies are in the jar?
(A)24 (B)28 (C)32 (D)48 (E)50
Output: A
At Essex High School 100 students are taking chemistry and 80 students are taking are biology. If 20 students are taking both chemistry and biology, what is the ratio of the number of students taking only chemistry to the number taking only biology?
(A)\(\frac { 3 } { 4 } \) (B)\(\frac { 4 } { 5 } \) (C)\(\frac { 1 } { 1 } \) (D)\(\frac { 5 } { 4 } \) (E)\(\frac { 4 } { 3 } \)
Output: E
Jordan has taken five math tests so far this semester. If he gets a 70 on his next test, that grade will lower his test average (arithmetic mean) by 4 points. What is his average now?
(A)74 (B)85 (C)90 (D)94 (E)95
Output: D
Marty has now \(m\) more marbles than Jane has. After he gives \(n\) marbles too Jane, how many more marbles will Jane have than Marty?
(A)\(m\) (B)\(n + m\) (C)\(2n - m\) (D)\(3n - 2m\) (E)\(m - n\)
Output: C
Megan wrote down all the three-digit numbers that can be written using each of the numerals 1, 2 and 3 exactly once. What is the average (arithmetic mean) of the numbers Megan wrote?
(A)213 (B)222 (C)231 (D)233 (E)333
Output: B
In an airport security line, every 20th person has his bag searched, and every 10th person is asked to put her shoes through a special X-ray machine. Of 100 passengers, what is the probability that a passenger will be asked to put his shoes through the X-ray and have his bag searched?
(A)\(\frac{1}{100}\) (B)\(\frac{1}{50}\) (C)\(\frac{1}{20}\) (D)\(\frac{1}{10}\) (E)\(\frac{1}{5}\)
Output: C
A radio station emits a signal that can be received for 60 miles in all directions. If the intensity of the signal is strengthened so the reception increases by 40 miles in all directions, by approximately how many square miles is its region of reception increased?
(A)6,300 (B)10,000 (C)10,300 (D)20,000 (E)31,400
Output: D
There are a total of 20 marbles in a bag containing only red marbles, blue marbles, and yellow marbles. If a marble is selected at random, the probability of getting a red marble is \(\frac{2}{5}\) and the probability of getting a blue marble is \(\frac{1}{2}\). How many yellow marbles are in the bag?
(A)1 (B)2 (C)4 (D)8 (E)10
Output: B
Amanda, Ben, and Cindy-made a total of 34 greeting cards. Ben made 4 times as many as Amanda, and Cindy made 3 times as many as Ben. How many greeting cards did Amanda make?
(A)2 (B)3 (C)4 (D)6 (E)8
Output: A
Anne-Marie was \(x\) years old \(y\) years ago. How old will she be in \(z\) years?
(A)\(x + y + z\) (B)\(x - y + z\) (C)\(z - x - y\) (D)\(y - x + z\) (E)\(x - y - z\)
Output: A
A train takes one hour longer to travel d miles at its normal speed than it would if it were traveling 10 miles faster. Which of following equations could represent the equation to find the train's normal speed \(s\), in miles per hour?
(A)\(\frac { d } { s + 10 } = s + 1\) (B)\(\frac { d } { s } = \frac { d } { s + 1 } \) (C)\(\frac { s } { s + 10 } = d\) (D)\(\frac { d } { s + 10 } - \frac { d } { s } = 1\) (E)\(\frac { d } { s } - \frac { d } { s + 10 } = 1\)
Output: E
If Maurice has $80, and he spends $32.45 on clothes and gives $27.55 to his sister, what fraction of the original $80 does Maurice have left?
(A)\(\frac{1}{5}\) (B)\(\frac{1}{4}\) (C)\(\frac{3}{10}\) (D)\(\frac{1}{2}\) (E)\(\frac{3}{5}\)
Output: B
A chef prepares a multicourse meal at a client's home. For this service, she charges a base price of \$150, and adds an additional \$20 for each course ordered. If a client orders c courses, which of the following represents the total charge, in dollars, for the meal?
(A)\(170c\) (B)\(150 + c\) (C)\(150c + 20\) (D)\(150 + 20c\) (E)\(170 + 20c\)
Output: D
Of 650 vehicles in a parking lot, \(\frac { 1 } { 5 } \) are trucks. How many of the vehicles are not trucks?
(A)65 (B)130 (C)325 (D)420 (E)520
Output: E
Stephanie has ten shirts, four pairs of pants, and five pairs of shoes. If an outfit consists of exactly one shirt, one pair of pants and one pair of shoes, how many different outfits could she wear?
(A)19 (B)95 (C)105 (D)190 (E)200
Output: E
The cost for coal from a certain company is \$15 for the first pound plus \$6 for each additional pound of coal. Which of the following functions gives the total cost, in dollars, for p pounds of coal?
(A)\(C(p) = 6p - 15\) (B)\(C(p) = 6p - 9\) (C)\(C(p) = 6p\) (D)\(C(p) = 6p + 9\) (E)\(C(p) = 6p + 15\)
Output: D
In a class, 20 children were sharing equally the cost of a present for their teacher. When 4 of the children decided not to contribute, each of the other children had to pay \$1.50 more. How much, in dollars, did the present cost?
(A)50 (B)80 (C)100 (D)120 (E)150
Output: D
Some boys and girls were having a car wash to raise money for a class trip. Initially, \(\frac { 2 } { 5 } \) of the group were girls. Shortly thereafter two girls left and two boys entered, then \(\frac { 1 } { 3 } \) of the group are girls. How many girls were initially in the group?
(A)8 (B)10 (C)12 (D)14 (E)20
Output: C
The daily cost of running a certain air conditioner is 12 cents per hour for the first 8 hours and 10 cents per hour for each additional hour over 8 hours. Which of the following expressions represents the cost, in dollars, of running this air conditioner for h hours each day, for 90 days, if \(8 < h < 24\)?
(A)\(90(0.12) + 9(h - 8)\) (B)\(90(0.12)h + h - 8\) (C)\(90(0.12)h + 9(h - 8)\) (D)\(90(0.12)(8) + 9(h - 8)\) (E)\(90(0.12)(8) + (h - 8)\)
Output: D
If Duane were to give Gregg \$14, they would each have the same amount of money. If Duane has \$45, how much money does Gregg have?
(A)\$10 (B)\$17 (C)\$24 (D)\$31 (E)\$38
Output: B
On a certain test, a class of 12 students has an average (arithmetic mean) score of 80. A second class of 18 students has an average score of 85. What is the average score of the combined classes?
(A)82 (B)82.5 (C)83 (D)84 (E)84.5
Output: C