Reasoning and answer: Kim got 6 points / round x 2 round = 12 points in the easy round. She got 2 points / round x 3 rounds = 6 points in the average round. She got 4 points / round x 5 rounds = 20 points in the difficult round. So her total points is 12 points + 6 points + 20 points = 38 points.
The answer: 38
What was the question?
Question: The math questions in a contest are divided into three rounds: easy, average, and hard. There are corresponding points given for each round. That is 2, 3, and 5 points for every correct answer in the easy, average, and hard rounds, respectively. Suppose Kim got 6 correct answers in the easy; 2 correct answers in the average; and 4 correct answers in the difficult round, what are her total points in the contest?


Mr. Williams bought 10 x 10 = 100 cups of juice. Since 5 cups were left, then 100 - 5 = 95 cups were drunk.
The answer: 95
Reverse engineering the question: Mr. Williams bought 10 gallons of juice for a party. Each gallon has 10 cups. At the party, 5 cups of juice were left. How many cups of juice were drunk?


Reasoning and answer: She drinks 1 / 2 bottle a day and there are 24 bottles in a case so a case will last 24 / .5 = 48 days. She needs enough to last her 240 days and 1 case will last her 48 days so she needs 240 / 48 = 5 cases. Each case is on sale for $12.00 and she needs 5 cases so that's 12 * 5 = $60.00.
The answer: 60
What was the question?
Question: Harper drinks a 1/2 bottle of mineral water per day. She buys the mineral water by the case at a big box store. They come 24 bottles to a case and are currently on sale for $12.00. If she wants to buy enough cases to last her 240 days, how much will she spend?


Captain America is 1456 / 13 = 112 years old. Peter Parker is 112 / 7 = 16 years old. Ironman is 16 + 32 = 48 years old.
The answer: 48
Reverse engineering the question: Thor is 13 times older than Captain America. Captain America is 7 times older than Peter Parker, and Ironman is 32 years older than Peter Parker. How old is Ironman if Thor is 1456 years old?


Reasoning and answer: 30 x 5 / 6 = 25 nuts were eaten. Thus, 30 - 25 = 5 nuts were left.
The answer: 5
What was the question?
Question: There are 30 different nuts in a bowl. If 5/6 of the nuts were eaten, how many nuts were left?


Reasoning and answer: Carlos memorized 24 / 6 = 4 digits of pi. Sam memorized 4 + 6 = 10 digits of pi.
The answer: 10
What was the question?
Question:
Sam memorized six more digits of pi than Carlos memorized. Mina memorized six times as many digits of pi as Carlos memorized. If Mina memorized 24 digits of pi, how many digits did Sam memorize?