niryuu/sni-each-converted huggingface dataset:
A 20-gallon water tank is filled to capacity. If 8 gallons of water are pumped out of the tank, what percent of the tank is now filled?
(A)20\% (B)40\% (C)50\% (D)60\% (E)70\%
Output: D
Zenia drew a route on a map, starting with a 32 centimeter line from her home due north to Anne's home. She continued the route with a 44 centimeter line due south to Beth's home, a 33 centimeter line due west to Caleb's home, at and a 28 centimeter line due east to Damon's home. What is the distance on the map, in centimeters, from Damon's home to Zenia's home?
(A)5 (B)12 (C)13 (D)33 (E)55
Output: C
One box of muffin mix is sufficient to bake six large muffins or ten mini- muffins. How many boxes are needed to bake 180 muffins, 120 of which are large muffins and the rest of which are mini-muffins?
(A)18 (B)20 (C)22 (D)26 (E)28
Output: D
Raphael just bought a piece of furniture from a store that sells only sofas and chairs. Which of the following must be true?
(A)The piece of furniture is a sofa. (B)The piece of furniture is a chair. (C)The piece of furniture is not a leather sofa. (D)The piece of furniture is not a wooden chair. (E)The piece of furniture is not a wooden table.
Output: E
If \(\frac { 5 } { 9 } \) of the members of the school chorus are boys, what is the ratio of girls to boys in the chorus ?
(A)\(\frac { 4 } { 9 } \) (B)\(\frac { 4 } { 5 } \) (C)\(\frac { 5 } { 4 } \) (D)\(\frac { 9 } { 4 } \) (E)\(\frac { 14 } { 5 } \)
Output: B
Jo spends 25 percent of her monthly income on food, 30 percent on rent, 20 percent on insurance, and 10 percent on entertainment and miscellaneous expenses. Of her remaining income, she gives half to charity and saves the rest. If Jo saves 75 dollars every month, what is her total monthly income?
(A)\$1,000 (B)\$1,500 (C)\$1,600 (D)\$2,500 (E)\$5,000
Output: A
When the organizers of a bake sale sell brownies for \$ 1.50 each, they sell 7 brownies every hour. When the brownies are sold for \$2.00 each, 5 brownies are sold each hour. If \(x\) is the price per brownie in dollars, and \(f\) is the number of brownies sold per hour, then which of the following could represent \(f\) as a function of \(x\)?
(A)\(f(x) = 4x + 1\) (B)\(f(x) = 6 x- 7\) (C)\(f(x) = -3x + 11\) (D)\(f(x) = -4x + 13\) (E)\(f(x) = -6x + l6\)
Output: D
Beth has twice as many baseball cards as Bruce. If Beth has \(b\) cards, how many cards does Bruce have?
(A)\(2b\) (B)\(b^2\) (C)\(\frac { b } { 2 } \) (D)\(\frac { 2 } { b } \) (E)\(b + 2\)
Output: C
In a certain game, different colored tokens are worth different numbers of points. A blue token and a red token together are worth a total of 12 points, a blue token and a green token together are worth a total of 13 points, and a red token and a green token together are worth a total of 15 points. How many points is a blue token worth?
(A)5 points (B)6 points (C)7 points (D)8 points (E)9 points
Output: A
A new airplane can travel at speeds up to 4,680 miles per hour. How many miles can the airplane travel in 10 seconds?
(A)1.3 (B)7.8 (C)13 (D)78 (E)130
Output: C
Bill has to type a paper that is p pages long, in which each page contains w words. If Bill types an average of x words per minute, how many hours will it take him to finish the paper?
(A)\(\frac{wp}{60x}\) (B)\(\frac{wpx}{60}\) (C)\(\frac{60wp}{x}\) (D)\(\frac{wx}{60p}\) (E)60wpx
Output: A
Assume that light travels at 300,000 kilometers per second, and the sun is 150,000,000 kilometers from Earth. How many minutes does it take for light to travel from the sun to Earth?
(A)0.002 (B)0.12 (C)\(8\frac { 1 } { 3 } \) (D)20 (E)500
Output: C
A lacrosse team raised some money. The me used 74\% of the money to buy uniforms, 18\% to buy equipment, and the remaining \$216 for a team party. How much money did they raise?
(A)\$2400 (B)\$2450 (C)\$2500 (D)\$2600 (E)\$2700
Output: E
Mrs. James gave a test to her two geometry classes. The 24 students in her first-period class had a class average (arithmetic mean) of 78. The average of the 26 students in her second-period class was 83. What was the average for all students taking the exam?
(A)79.4 (B)80.5 (C)80.6 (D)81.2 (E)81.4
Output: C
During the 2000 fiscal year, a company made of \(\frac{1}{7}\) its profits in the first quarter, \(\frac{1}{3}\) of its profits in the second quarter, \(\frac{1}{2}\) of its profits in the third quarter, and the remaining $2 million in the fourth quarter. What were the total profits for the fiscal year?
(A)\$18 million (B)\$36 million (C)\$63 million (D)\$84 million (E)\$126 million
Output: D
A group of 48 employees is taking 11 cars to the annual company picnic. If each car will be occupied by 4 or 5 employees, what is the number of cars occupied by 5 employees?
(A)7 (B)6 (C)5 (D)4 (E)3
Output: D
In a certain country, the ratio of people 50 and over to people under 50 is 3 to 5. What percent of the population is under 50?
(A)30 (B)37.5 (C)50 (D)60 (E)62.5
Output: E
Ron has a bucket of red, white, and blue marbles. The number of red marbles is two more than the number of blue marbles, and the number of white marbles is twice the number of red marbles. Which of the following could be the total number of marbles?
(A)24 (B)25 (C)26 (D)27 (E)28
Output: C
The weights, in kilograms, of five students are 48, 56, 61, 52, and 57. If 1 kilogram = 2.2 pounds, how many of the students weigh over 120 pounds?
(A)1 (B)2 (C)3 (D)4 (E)5
Output: C
A snail travels 1 foot in 48 minutes. If the snail travels at a constant rate, how many minutes does it take to travel 1 inch? (1 foot = 12 inch)
(A)One (B)Two (C)Three (D)Four (E)Five
Output: D
The total monthly cost c to send \(x\) text messages is given by the function \(C(x) = 0.05x - 2.5\) for all \(x \geq 51\). If Hannah received a bill for \$10.50 for sending text messages last month, how many text messages did she send?
(A)60 (B)125 (C)160 (D)225 (E)260
Output: E
If 24 of the 40 students in a club are girls, what is the ratio of boys to girls in the club?
(A)2 : 5 (B)3 : 5 (C)2 : 3 (D)3 : 2 (E)5 : 2
Output: C
Megan began a one-way 5-mile bicycle trip by riding very quickly uphill for 2 miles. She rested for 10 minutes and then rode slowly for the rest of the trip. Which of the following graphs could correctly represent the trip?
(A)diagram1469.png (B)diagram347.png (C)diagram1684.png (D)diagram466.png (E)diagram234.png
Output: B
A bookseller's net profit, in dollars, from the sale of b books is given by \(P(b) = 2.5b - 100\). How many books must she sell in order to earn a net profit of $225?
(A)130 (B)225 (C)331 (D)463 (E)563
Output: A
In a certain pet store, every third goldfish has long fins, and every fourth goldfish has a long tail. If a fish is selected at random from a tank of 120 fish, what is the probability that the fish will have long fins and a long tail?
(A)\(\frac{1}{12}\) (B)\(\frac{1}{7}\) (C)\(\frac{2}{7}\) (D)\(\frac{7}{12}\) (E)\(\frac{12}{7}\)
Output: A
If, at a certain clothing store, three pairs of dress socks and four pairs of athletic socks cost a total of \$27 and four pairs of dress socks and three pairs of athletic socks cost a total of \$29, what is the combined cost of one pair of dress socks and one pair of athletic socks?
(A)\$26 (B)\$28 (C)\$16 (D)\$8 (E)\$2
Output: D
If Jorge earns $2,000 a month and spends $600 a month on rent, what percent of Jorge's monthly earnings does he spend on rent?
(A)25\% (B)30\% (C)35\% (D)40\% (E)45\%
Output: B
The probability of choosing a black marble from a jar containing only black and red marbles is \(\frac { 1 } { 4 } \). Which of the following could be the number of red marbles?
(A)20 (B)22 (C)24 (D)32 (E)35
Output: C
A survey of all the students who attend Central Valley High School showed that there was an average (arithmetic mean) of 33.6 students per class room and and average of 22.4 electronic devices brought to class by students per classroom. If 4,200 students attend Central Valley High School, which of the following is the best estimate of the total number of electronic devices in the classrooms of Central Valley?
(A)1,680 (B)2,520 (C)2,800 (D)4,075 (E)6,300
Output: C
Cathy's average rate during the Boston Marathon was 10 minutes a mile for the first \(b\) hours where \(b < 4\). In terms of \(b\), how many more miles does Cathy have to run to complete the 26-mile race?
(A)\(26 - 6b\) (B)\(26 - 600b\) (C)\(6b - 26\) (D)\(26 - \frac { 6 } { b } \) (E)\(\frac { 26 - b } { 6 } \)
Output: A
Ahmed rolled an eight-sided polygon six times. Each face of the polygon has a number from 1-8 painted on it. No two numbers are repeated. Each roll yields one number face up. The first roll yields an even number. The second roll yields an odd number. The third roll yields the number 5. The fourth roll yields a number smaller than 4. The fifth roll yields the same number as the fourth roll. The sixth roll yields a number smaller than the fifth roll. Which of the following must be true?
(A)Ahmed could have rolled a 5 three times. (B)Ahmed could have rolled a 2 more frequently than he could have rolled any other numbers. (C)Ahmed rolled more odd numbers than even numbers. (D)Ahmed rolled a 3 at least once. (E)Ahmed rolled a 1 on four rolls.
Output: B
A scientist found that the time, in seconds, a mouse required to complete a maze test successfully varied inversely with the number of hours of sleep the mouse had the previous night, such that time = \(\frac { 320 } { sleep } \). If the mouse had 8 hours of sleep the night before a maze test, how long, in seconds, would the mouse take to complete the maze test?
(A)40 (B)160 (C)320 (D)1,280 (E)2,560
Output: A
If it takes a people 10 hours to finish a certain task, how many would it take for \(a^2\) people to finish the same task?
(A)5 (B)10 (C)\(\frac { 5 } { a } \) (D)\(\frac { 10 } { a } \) (E)\(\frac { a } { 10 } \)
Output: D
The estate of a wealthy man was distributed as follows: 10\% to his wife, 5\% divided equally among his three children, 5\% divided equally among his five grandchildren, and the balance to a charitable trust. If the trust received \$1,000,000, how much did each grandchild inherit?
(A)\$10,000 (B)\$12,500 (C)\$20,000 (D)\$62,500 (E)\$100,000
Output: B
The distance between Ali's house and college is exactly 135 miles. If she drove \(\frac { 2 } { 3 } \) of the distance in 135 minutes, what was the average speed, in miles per hour?
(A)40 (B)45 (C)60 (D)67.5 (E)75
Output: A
If it is now September, what month will it be 555 months from now?
(A)April (B)June (C)September (D)November (E)December
Output: E
A bag contains two white marbles, four blue marbles, and an unknown number of black marbles. When one marble is drawn from the bag at random, the probability that the marble is black will be \(\frac { 1 } { 3 } \). How many black marbles are in the bag?
(A)3 (B)4 (C)5 (D)6 (E)8
Output: A
There are 12 men on a basketball team, and in a game 5 of them play at any one time. If the game is 1 hour long, and if each man plays exactly the same amount of time, how many minutes does each man play?
(A)10 (B)12 (C)24 (D)25 (E)30
Output: D
If pencils cost $0.50 each and notebooks cost $3 each, which of the following represents the cost, in dollars, of p pencils and n notebooks?
(A)\(2pn\) (B)\(3.5pn\) (C)\(3.5(n + p)\) (D)\(3n + 0.50p\) (E)\(2(n + 0.50p)\)
Output: D
A box of crayons contains only red, green, and blue crayons. The probability of randomly selecting a red crayon from the box is \(\frac{2}{5}\) and the probability of randomly selecting a blue crayon is \(\frac{1}{4}\). Which of the following could be the total number of crayons in the box?
(A)12 (B)16 (C)20 (D)25 (E)32
Output: C
Tameka cleans her house every 7 days and does laundry every 5 days. In the next 315 days, how many times will she have to clean her house and do laundry on the same day?
(A)9 (B)12 (C)26 (D)45 (E)63
Output: A
The members of the French Club conducted a fund-raising drive. The average (arithmetic mean) amount of money raised per member was \$85. Then Jean joined the club and raised \$50. This lowered the average to \$80. How many members were there before Jean joined?
(A)4 (B)5 (C)6 (D)7 (E)8
Output: C
Peter's income is directly proportional to the amount of time he works. If he earns \$27.00 for every 90 minutes of work, how many hours must he work to earn \$162.00 ?
(A)6 (B)9 (C)16.2 (D)18 (E)27
Output: B
If an object travels at 5 feet per minute, how many feet does it travel in 2 seconds?
(A)120 (B)10 (C)\(\frac{2}{5}\) (D)\(\frac{1}{6}\) (E)\(\frac{1}{12}\)
Output: D
A coffee shop sold 35 cups of coffee. Of these, 15 contained sugar and 12 contained milk. If 13 cups contained neither milk nor sugar, how many cups must have contained both sugar and milk?
(A)3 (B)5 (C)7 (D)8 (E)12
Output: B
At Music Outlet the regular price for a CD is \(d\) dollars. How many CDs can be purchased for m dollars when the CDs are on sale at 50\% off the regular price?
(A)\(\frac { m } { 50d } \) (B)\(\frac { md } { 50 } \) (C)\(\frac { md } { 2 } \) (D)\(\frac { m } { 2d } \) (E)\(\frac { 2m } { d } \)
Output: E
Max purchased some shares of stock at \$10 per share. Six months later the stock was worth \$20 per share. What was the percent increase in the value of Max' s investment?
(A)20\% (B)50\% (C)100\% (D)200\% (E)500\%
Output: C
A certain pie is made by baking the crust for 7 to 10 minutes, adding the filling, and baking the entire pie for another 15 to 18 minutes. What are the minimum and maximum total baking times for this pie?
(A)7 minutes and 10 minutes (B)10 minutes and 18 minutes (C)15 minutes and 18 minutes (D)22 minutes and 25 minutes (E)22 minutes and 28 minutes
Output: E
A car rental agency charges $40 per day for the first 7 days, and $35 a day for each day after that. How much would Joe be charged if he rented a car for 10 days?
(A)\$375 (B)\$385 (C)\$395 (D)\$405 (E)\$415
Output: B
A bag of candy contains chocolate hearts, vanilla hearts and gumballs. The number of pieces of heart-shaped candy is 5 times the number of gumballs. If one piece of candy is to be chosen at random from the bag, the probability that a vanilla heart is chosen is 4 times the probability that a chocolate heart will be chosen. If there are 16 vanilla hearts in the bagm what is the total number of pieces of candy in the bag?
(A)48 (B)44 (C)36 (D)24 (E)20
Output: D
If a store sells n newspapers on each of 5 days, which of the following represents the total number of newspapers sold?
(A)\(5n\) (B)\(5 + n\) (C)\(n - 5\) (D)\(n^5\) (E)\(5^n\)
Output: A
From 1980 to 1990, the value of a share of stock of XYZ Corporation doubled every year. If in 1990 a share of the stock was worth \$80, in what year was it worth \$10?
(A)1984 (B)1985 (C)1986 (D)1987 (E)1988
Output: D
Albert's diet allows him to consume no more than 450 calories for breakfast. He decides to have 3 mini-muffins, which each contain 140 calories, and a drink. If n represents the number of calories that his drink can contain, which of the following inequalities could be used to find all possible values for n?
(A)\(n \geq 3(140)\) (B)\(3(140) + n \leq 450\) (C)\(3(140) + n \geq 450\) (D)\(3(140) - n \leq 450\) (E)\(3(140) - n \geq 450\)
Output: B
The value of 10 pounds of gold is \(d\) dollars and a pound of gold has the same value as \(p\) pounds of silver. what is the value in dollars, of one pound of silver?
(A)\(\frac { \sqrt { d } } { 10p } \) (B)\(\frac { \sqrt { 10p } } { d } \) (C)\(\frac { \sqrt { dp } } { 10 } \) (D)\(\frac { \sqrt { p } } { 10d } \) (E)\(\frac { \sqrt { 10d } } { p } \)
Output: A
When the average (arithmetic mean) of a list of prices is multiplied by the number of prices, the result is n. What does n represent?
(A)The average of the prices (B)The number of prices (C)Half of the number of prices (D)The sum of the prices (E)Half of the sum of the prices
Output: D
At a certain company, some employees in the accounting department are also on the company bowling team, and none of the employees on the company bowling team are married. Which of the following statements must also be true?
(A)None of the employees in the accounting department are married. (B)Some of the employees in the accounting department are married. (C)Some of the employees in the accounting department are unmarried. (D)More employees are on the bowling team than work in the accounting department. (E)More employees work in the accounting department than are on the bowling team.
Output: C
If it is now 1:15, what time will it be when the hour hand has moved through an angle of \(10\degree\)?
(A)1:25 (B)1:35 (C)2:15 (D)3:15 (E)11:15
Output: B
The cost of k pieces of candy is \$1.20. At this rate, what is the cost in dollars of p pieces of this candy?
(A)\(1.2p\) (B)\(1.2kp\) (C)\(\frac { 1.2k } { p } \) (D)\(\frac { 1.2p } { k } \) (E)\(\frac { 120p } { k } \)
Output: D
The cost of a meal including a 20 percent tip is \$30. What was the cost of the meal before the tip was added?
(A)\$10.00 (B)\$24.00 (C)\$25.00 (D)\$29.80 (E)\$36.00
Output: C
Shawn creates a meal by mixing the pastas, sauces, and toppings in his kitchen. Each meal he creates consists of one type of pasta, one sauce, and one type of topping. If Shawn can make exactly 30 different meals, which of the following could NOT be the number of sauces that Shawn has?
(A)1 (B)2 (C)3 (D)4 (E)5
Output: D
Lisa sometimes works on Saturday. Michael always cooks dinner on Tuesday. If both statements above are true, which of the following statements CANNOT be true?
(A)Lisa cooks dinner on Tuesday. (B)Michael works on Saturday. (C)Neither Lisa nor Michael cooks dinner on Tuesday. (D)Neither Lisa nor Michael worked last Saturday. (E)Both Lisa and Michael cook dinner on Tuesday.
Output: C
On her biology test, Cathy answered \(\frac { 5 } { 6 } \) of the questions correctly. 6 correctly. If Cathy answered 18 of the first 27 questions correctly, then the total number of questions on the test must be at 1east
(A)32 (B)36 (C)45 (D)48 (E)54
Output: E
A woman takes a horse out of a stable and rides it 3 miles north, 8 miles east, and then 3 miles north again to her house. How far is it, in miles, from the stable to her house?
(A)10 (B)12 (C)14 (D)15 (E)16
Output: A
In a recent survey, 80 percent of the people polled were registered voters, and 75 percent of the registered voters voted in the last election. What fraction of all those surveyed were registered voters who did not vote in the last election?
(A)\(\frac{1}{10}\) (B)\(\frac{1}{5}\) (C)\(\frac{1}{4}\) (D)\(\frac{4}{5}\) (E)\(\frac{4}{8}\)
Output: B
A certain pump can drain a full 375-gallon tank in 15 minutes. At this rate, how many more minutes would it take to drain a full 600-gallon tank?
(A)9 (B)15 (C)18 (D)24 (E)25
Output: A
If as many 7-inch pieces of wire as possible are cut from a wire that is 6 feet long, what is the total length of the wire that is left over? (12 inches \(=\) 1 foot)
(A)2 inches (B)3 inches (C)4 inches (D)5 inches (E)8 inches
Output: A
When a digital clock reads 3:47, the sum of the digits is 14. How many minutes after 3:47 will the sum of the digits be 20 for the first time?
(A)42 (B)132 (C)192 (D)251 (E)301
Output: C
Peter bikes on a 100 mile path at an average of 10 miles per hour for the first \(k\) hours. In terms of \(k\), how many miles remain to be traveled?
(A)\(10k\) (B)\(40k\) (C)\(10(10 - k)\) (D)\(100(10 - k)\) (E)\(10(k - 100)\)
Output: C
A long-distance runner takes between 5 and 7 minutes to run one mile during the first half of a cross-country race. During the second half, she starts to get tired and adds 1 to 2 minutes to the time it takes her to run a mile. What are the minimum and maximum munber of minutes it would take the runner to run one mile during the second half of the race?
(A)5 and 7 minutes (B)6 and 8 minutes (C)6 and 9 minutes (D)7 and 8 minutes (E)7 and 9 minutes
Output: C
If Donald can type \(w\) words in m minutes, which of the following represents his average typing speed, in words per minute?
(A)\(\frac { m } { w } \) (B)\(\frac { w } { m } \) (C)\(\frac { 1 } { 2 } mw\) (D)\(mw\) (E)\(2mw\)
Output: B
A certain car needs 15 gallons to travel 300 miles. At this rate, how many gallons are needed to travel 500 miles?
(A)16 (B)20 (C)25 (D)30 (E)35
Output: C
The charge for the first quarter-mile of a taxi ride is \$1.40, and charge for each additional quarter-mile is \$0.20. If the total charge for a certain taxi ride is \$5.00, what is the length of this ride, in miles?
(A)\(4 \frac { 1 } { 2 } \) (B)\(4 \frac { 3 } { 4 } \) (C)\(5 \frac { 1 } { 2 } \) (D)19 (E)25
Output: B
David has 4 less than one-half the number of balloons that Katie has. If David has d balloons, and Katie has k balloons, which of the following equations correctly expresses the relationship between \(d\) and \(k\) ?
(A)\(d = \frac { 1 } { 2 } (k + 4)\) (B)\(d = \frac { 1 } { 2 } (k - 4)\) (C)\(d = \frac { 1 } { 2 } k + 4\) (D)\(d = \frac { 1 } { 2 } k - 4\) (E)\(d = 2 (k - 4)\)
Output: D
On a certain test, if a student answers 80 to 90 percent of the questions correctly, he will receive a letter grade of B. If there are 40 questions on the test, what is the minimum number of questions the student can answer correctly to receive a grade of B?
(A)24 (B)28 (C)32 (D)33 (E)36
Output: C
Angelique invited 42 people to a conference. Of the invitees, 8 people declined, and the rest accepted. On the day of the conference, a snowstorm prevented half of those who accepted from making it to the conference. If no other people accepted or declined, what fraction of Angelique's original invitees attended the conference?
(A)\(\frac { 13 } { 42 } \) (B)\(\frac { 1 } { 3 } \) (C)\(\frac { 5 } { 14 } \) (D)\(\frac { 8 } { 21 } \) (E)\(\frac { 17 } { 42 } \)
Output: E