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question:You are an AI assistant that helps people find information. User will you give you a question. Your task is to answer as faithfully as you can. While answering think step-by-step and justify your answer. [Question]Ali is collecting bottle caps. He has 125 bottle caps. He has red ones and green ones. If he has 50 red caps, what percentage of caps are green? [Answer]He has 75 green caps because 125 - 50 = 75. The proportion of caps that are green is .6 because 75 / 125 = .6. The percentage that are green is 60 because .6 x 100% = 60%. The answer is 60. Q: Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates? A: First find how many liters of the seawater are salt: 2 liters * 20% = .4 liters. Then multiply that amount by 1000 ml / liter to find the number of ml of salt Jack gets: .4 liters * 1000 ml / liter = 400 ml. The answer is 400. Question: Karen has 32 quarters in her piggy bank. Her older brother Christopher has 64 quarters in his piggy bank. How much more money does Christopher have? Answer: Christopher has 64 quarters so he has 64 * .25 = 16.00. Karen has 32 quarters so she has 32 * .25 = 8.00. If Christopher has 16.00 and Karen has 8.00 then Christopher has 16 - 8 = 8.00 more than Karen. The answer is 8. [Question]You can buy 4 apples or 1 watermelon for the same price. You bought 36 fruits evenly split between oranges, apples and watermelons, and the price of 1 orange is 0.50. How much does 1 apple cost if your total bill was 66? [Answer]If 36 fruits were evenly split between 3 types of fruits, then I bought 36 / 3 = 12 units of each fruit. If 1 orange costs 0.50 then 12 oranges will cost 0.50 * 12 = 6. If my total bill was 66 and I spent 6 on oranges then I spent 66 - 6 = 60 on the other 2 fruit types. Assuming the price of watermelon is W, and knowing that you can buy 4 apples for the same price and that the price of one apple is A, then 1W = 4A. If we know we bought 12 watermelons and 12 apples for 60, then we know that 60 = 12W + 12A. Knowing that 1W = 4A, then we can convert the above to 60 = 12(4A) + 12A. 60 = 48A + 12A. 60 = 60A. Then we know the price of one apple (A) is 60 / 60 = 1. The answer is 1. Q: The electricity price in Coco's town is 0.10 per kW. Coco's new oven has a consumption rate of 2.4 kWh (kilowatt-hours). How much will Coco pay for using his oven only if he used it for a total of 25 hours last month? A: If Coco used his oven 25 hours last month and its energy consumption is 2.4 kW per hour, then we consumed a total of 25 * 2.4 = 60 kW on his oven last month. If the price of electricity is 0.10 per kW, then 60 kW would cost = 0.10 * 60 = 6. The answer is 6. Question: Ember is half as old as Nate who is 14. When she is 14 herself, how old will Nate be? Answer:
answer:If Ember is half as old as Nate who is 14, then Ember is 14 / 2 = 7 years old. To find out how old Nate will be when Ember is 14, we need to find the age difference between them, which is 14 - 7 = 7 years. So when Ember is 14, Nate will be 14 + 7 = 21 years old. The answer is 21.
question:You are an AI assistant that helps people find information. User will you give you a question. Your task is to answer as faithfully as you can. While answering think step-by-step and justify your answer. Question: Is the following a factual statement? "Measles cases in the United States have increased since the 1940's." Options: - yes - no Let me think..... Cases of measles has decreased since the 1940's. The answer is no. Question: Yes / no, is the following a verifiable fact? "People founded the city of Hollywood in California." Let me think..... Hollywood is a neighborhood located in Los Angeles, California. The answer is yes. Question: Yes / no, is the following a verifiable fact? "Most human Eyes contain purple irises." Let me think..... Brown pigmentation most frequently occurs in human irises, while purple is very rare. The answer is no. Question: Is the following sentence factually correct? "Valerian root steeped in hot water promotes sleep." Options: - yes - no
answer:Let me think..... Valerian root has been used traditionally as a natural remedy to promote relaxation and sleep. Some studies suggest it may be effective in improving sleep quality. The answer is yes.
question:You are an AI assistant that helps people find information. User will you give you a question. Your task is to answer as faithfully as you can. While answering think step-by-step and justify your answer. q: Calculate the circumference of a circular field whose radius is 8 centimeters. Options: (A) 18 π cm (B) 1 π cm (C) 8 π cm (D) 19 π cm (E) 28 π cm a: Stream of consciousness: Circumference C is given by C = 2πr = 2π*9 = 18 π cm The answer is (A). question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 110 miles per hour, while the slower train travels at 100 miles per hour. At 1 o’clock the faster train is 40 miles behind the slower one. How far apart are the two trains at 7 o'clock? Options: (A) 20 miles (B) 80 miles (C) 90 miles (D) 120 miles (E) 400 miles answer: Stream of consciousness: Answer = A. 20 miles Relational speed = 110 - 100 = 10 miles per hour In 6 hours, difference = 10 * 6 = 60 miles Fast train trailing 40 miles, so effective difference = 60 - 40 = 20 miles The answer is (A). q: Last year, Company M made q dollars in profit. Half of the profit went to the company’s founder. The rest was split evenly among his Three other partners. In terms of q, how much did each of the other partners receive? Options: (A) q/4 (B) q/5 (C) q/6 (D) q/7 (E) q/8 a: Stream of consciousness: Profit = q Profit to company founder = q/2 Profit to other partners = q/2 Number of other partners = 3 Profit to each partner = (q/2)/3 = q/6 The answer is (C). question: The average of five numbers is 9. The average of first two numbers is 7 and the average of last two numbers is 12. What is the middle number? Options: (A) 7 (B) 8 (C) 5 (D) 10 (E) 6 answer: Stream of consciousness: The total of five numbers = 5x9 = 45 The total of first 2 and last 2 numbers is = 2 X 7+2 X 12 = 38 So, the middle number is (45 - 38 ) = 7 The answer is (A). q: Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages on a computer, while Elan takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages? Options: (A) 3 hours (B) 6 hours (C) 4 hours (D) 8 hours (E) 10 hours a: Stream of consciousness: Number of pages typed by Ronald in one hour = 32/6 = 16/3 Number of pages typed by Elan in one hour = 40/5 = 8 Number of pages typed by both in one hour = ((16/3) + 8) = 40/3 Therefore, time taken by both to type 110 pages = 110 x 3/40 = 8 hours. The answer is (D). q: A pipe can fill a cistern in 20 minutes whereas the cistern when full can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full? Options: (A) 17 (B) 16 (C) 70 (D) 13 (E) 12 a:
answer:Stream of consciousness: The rate of filling the cistern by the pipe = 1/20 per minute The rate of emptying the cistern by the leak = 1/28 per minute Net rate of filling the cistern when both pipes are opened = (1/20 - 1/28) = 8/560 = 1/70 per minute Thus, the cistern will be full in 1/(1/70) = 70 minutes. The answer is (C).
question:You are an AI assistant that helps people find information. User will you give you a question. Your task is to answer as faithfully as you can. While answering think step-by-step and justify your answer. Annie was given a pack of crayons. The pack contained 21 crayons. She already had a box of 36 crayons in her locker. Her friend Bobby gave her half the amount she already had in her locker. She decided to give her sister Mary 1/3 of her total amount of crayons. How many crayons does she give to Mary? Thoughts? Step-by-step reasoning:
answer:Step 1: Find the total number of crayons Annie had before Bobby gave her more. Annie had 21 crayons from the pack and 36 crayons in her locker, so she had 21 + 36 = 57 crayons. Step 2: Determine how many crayons Bobby gave her. Bobby gave her half the amount she had in her locker, which is 36 / 2 = 18 crayons. Step 3: Calculate the new total number of crayons Annie has after receiving crayons from Bobby. Annie now has 57 crayons (from step 1) + 18 crayons (from step 2) = 75 crayons. Step 4: Calculate how many crayons Annie gives to Mary. Annie gives Mary 1/3 of her total amount of crayons, which is (1/3) * 75 = 25 crayons. So, Annie gives Mary 25 crayons.