You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.

[Q]: 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
[A]: B


[Q]: 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\%
[A]: B


[Q]: 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.
[A]:
user
You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.

[Q]: 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
[A]: B


[Q]: 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\%
[A]: B


[Q]: 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.
[A]:
assistant
You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.

[Q]: 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
[A]: B


[Q]: 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\%
[A]: B


[Q]: 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.
[A]:
user
D


[Q]: There are many pens of different colors on a table. Each pen has a unique color and can be either green or not green. Thom picks a pen to trust their intuition and believes it is green. His friend, Dawn, then picks a pen to trust her intuition and believes it is not green. What is the probability that they both selected a pen of the same color?
(A)1/2 (B)1/4 (C)1/8 (D)1/2 (E)0
[A]: E
assistant
D


[Q]: There are many pens of different colors on a table. Each pen has a unique color and can be either green or not green. Thom picks a pen to trust their intuition and believes it is green. His friend, Dawn, then picks a pen to trust her intuition and believes it is not green. What is the probability that they both selected a pen of the same color?
(A)1/2 (B)1/4 (C)1/8 (D)1/2 (E)0
[A]: E
user
D


[Q]: There are many pens of different colors on a table. Each pen has a unique color and can be either green or not green. Thom picks a pen to trust their intuition and believes it is green. His friend, Dawn, then picks a pen to trust her intuition and believes it is not green. What is the probability that they both selected a pen of the same color?
(A)1/2 (B)1/4 (C)1/8 (D)1/2 (E)0
[A]: E
assistant
D
[Q]: On a certain road, the speed limit is 60 miles per hour. However, during heavy rain, the road becomes slippery, and the driver slows down to 40 miles per hour. The driver travels 40 miles on this road during the heavy rain. How long does it take the driver to travel these 40 miles?
(A)1 hour (B)1.25 hours (C)1.5 hours (D)2 hours (E)2.5 hours
[A]: C


[Q]: A rectangle has a width of 12 meters and a length of 18 meters. What is the perimeter of the rectangle?
(A)42 meters (B)48 meters (C)54 meters (D)60 meters (E)66 meters
[A]: A


[Q]: Emily spends $25 on a bracelet and has $62 remaining in her budget for other jewelry purchases. If she spends a total of $100 on jewelry, including the bracelet, what is the cost of the other pieces of jewelry she purchases?
(A)$37 (B)$50 (C)$62 (D)$75 (E)$87
[A]: D


[Q]: Yara has to divide 48 cookies equally among five children. How many cookies will each child get?
(A)9 (B)12 (C)16 (D)19 (E)24
[A]: B


[Q]: A train traveling at 60 miles per hour departs from New York to Miami at 9:00 am. Another train traveling at 80 miles per hour departs from Miami to New York at 10:00 am. What is the distance between the two trains when they meet at 12:00 pm?
(A)240 miles (B)300 miles (C)360 miles (D)420 miles (E)480 miles
[A]: D
assistant
D
[Q]: On a certain road, the speed limit is 60 miles per hour. However, during heavy rain, the road becomes slippery, and the driver slows down to 40 miles per hour. The driver travels 40 miles on this road during the heavy rain. How long does it take the driver to travel these 40 miles?
(A)1 hour (B)1.25 hours (C)1.5 hours (D)2 hours (E)2.5 hours
[A]: C


[Q]: A rectangle has a width of 12 meters and a length of 18 meters. What is the perimeter of the rectangle?
(A)42 meters (B)48 meters (C)54 meters (D)60 meters (E)66 meters
[A]: A


[Q]: Emily spends $25 on a bracelet and has $62 remaining in her budget for other jewelry purchases. If she spends a total of $100 on jewelry, including the bracelet, what is the cost of the other pieces of jewelry she purchases?
(A)$37 (B)$50 (C)$62 (D)$75 (E)$87
[A]: D


[Q]: Yara has to divide 48 cookies equally among five children. How many cookies will each child get?
(A)9 (B)12 (C)16 (D)19 (E)24
[A]: B


[Q]: A train traveling at 60 miles per hour departs from New York to Miami at 9:00 am. Another train traveling at 80 miles per hour departs from Miami to New York at 10:00 am. What is the distance between the two trains when they meet at 12:00 pm?
(A)240 miles (B)300 miles (C)360 miles (D)420 miles (E)480 miles
[A]: D
user
D
[Q]: On a certain road, the speed limit is 60 miles per hour. However, during heavy rain, the road becomes slippery, and the driver slows down to 40 miles per hour. The driver travels 40 miles on this road during the heavy rain. How long does it take the driver to travel these 40 miles?
(A)1 hour (B)1.25 hours (C)1.5 hours (D)2 hours (E)2.5 hours
[A]: C


[Q]: A rectangle has a width of 12 meters and a length of 18 meters. What is the perimeter of the rectangle?
(A)42 meters (B)48 meters (C)54 meters (D)60 meters (E)66 meters
[A]: A


[Q]: Emily spends $25 on a bracelet and has $62 remaining in her budget for other jewelry purchases. If she spends a total of $100 on jewelry, including the bracelet, what is the cost of the other pieces of jewelry she purchases?
(A)$37 (B)$50 (C)$62 (D)$75 (E)$87
[A]: D


[Q]: Yara has to divide 48 cookies equally among five children. How many cookies will each child get?
(A)9 (B)12 (C)16 (D)19 (E)24
[A]: B


[Q]: A train traveling at 60 miles per hour departs from New York to Miami at 9:00 am. Another train traveling at 80 miles per hour departs from Miami to New York at 10:00 am. What is the distance between the two trains when they meet at 12:00 pm?
(A)240 miles (B)300 miles (C)360 miles (D)420 miles (E)480 miles
[A]: D
assistant