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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. Premise: "A female figure skater performing a technique in an ice rink." Hypothesis: "A female figure skater performing a technique." Is the hypothesis entailed by the premise? Options: - yes - it is not possible to tell - no Stream of thoughts:
answer:1. The premise states that a female figure skater is performing a technique in an ice rink. 2. The hypothesis states that a female figure skater is performing a technique, without specifying the location. 3. Both premise and hypothesis include a female figure skater performing a technique. 4. The premise provides additional information about the location (ice rink). 5. The hypothesis doesn't contradict the premise, it just omits the location detail. Conclusion: Yes, the hypothesis is entailed by the premise.
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. Can we conclude from "A blond-haired little boy getting a haircut." that "The boy has no had his hair cut before."? Options: - yes - no - it is not possible to tell Let's be accurate as possible and think first.
answer:It is not possible to tell. The statement "A blond-haired little boy getting a haircut" only provides information about the boy's hair color and the fact that he is currently getting a haircut. It does not provide any information about whether or not the boy has had his hair cut before.
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. Given the sentence "Two opposing footballers play on a field." can we conclude that "The game is an exibition."? Options: - yes - it is not possible to tell - no Let's solve step-by-step:
answer:Step 1: Analyze the given sentence The sentence states, "Two opposing footballers play on a field." Step 2: Identify the information provided From this sentence, we can gather the following information: - There are two footballers. - They are playing against each other. - They are playing on a field. Step 3: Compare the information provided with the claim The claim is, "The game is an exhibition." Step 4: Determine if there is enough information to conclude the claim The given sentence does not provide any information about the nature or purpose of the game, such as whether it is an exhibition, a competitive match, or just a casual game. Step 5: Answer the question Based on the information provided, the answer is: it is not possible to tell if the game is an exhibition.
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. [Ques]: A train running at the speed of 60 km/hr crosses a pole in 12 seconds. Find the length of the train. Options: (A) 225 meter (B) 200 meter (C) 250 meter (D) 190 meter (E) 180 meter *Ans*: (B) --CoT--: Speed = 60*(5/18) m/sec = 50/3 m/sec Length of Train (Distance) = Speed * Time (50/3) * 12 = 200 meter [Ques]: John has some chickens that have been laying him plenty of eggs. He wants to give away his eggs to several of his friends, but he wants to give them all the same number of eggs. He figures out that he needs to give 7 of his friends eggs for them to get the same amount, otherwise there is 1 extra egg left. What is the least number of eggs he needs for this to be true? Options: (A) 201 (B) 301 (C) 401 (D) 101 (E) 501 *Ans*: (B) --CoT--: The number of eggs must be one more than a number that is divisible by 2, 3, 4, 5, and 6 since each of these numbers leave a remainder of 1. For this to be true one less than the number must be divisible by 5, 4, and 3 (6 is 2*3 and 2 is a factor of 4 so they will automatically be a factor). 5 * 4 * 3 = 60. Then you just must find a multiple of 60 such that 60 * n + 1 is divisible by 7. 61 / 7, 121 / 7, 181 / 7, 241 / 7 all leave remainders but 301 / 7 doesn't. [Ques]: Find the value of y from (12)^3 x 6^4 ÷ 432 = y? Options: (A) 2234 (B) 3245 (C) 3456 (D) 4567 (E) 5184 *Ans*: (E) --CoT--: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184 432 12 x 62 [Ques]: Find the average of all the numbers between 6 and 34 which are divisible by 5. Options: (A) 22 (B) 20 (C) 288 (D) 277 (E) 21 *Ans*: (B)
answer:--CoT--: First, we need to find all the numbers between 6 and 34 that are divisible by 5. The numbers are 10, 15, 20, 25, and 30. To find the average, we sum these numbers and divide by the total count of numbers. Average = (10 + 15 + 20 + 25 + 30) / 5 Average = 100 / 5 Average = 20