problem stringlengths 66 778 | solution stringclasses 13
values | win_rate float64 0 0.88 | completions listlengths 8 8 | rewards listlengths 8 8 | num_completions int64 8 8 |
|---|---|---|---|---|---|
Two years ago, John put $5000 into a savings account. At the end of the first year, his account had accrued $500 in interest bringing his total balance to $5500. The next year, his account balance increased by 10%. At the end of the two years, by what percent has John's account balance increased from his initial deposi... | B | 0.125 | [
"<think>\nOkay, let's see. John put $5,000 into a savings account two years ago. At the end of the first year, the account accrued $500 in interest, making his total balance $5,500. Then, the next year, his account balance increased by 10%. We need to find out what percent his account balance increased from his ini... | [
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a, b and c start a business each investing 10,000. After 6 months a withdrew 5000, b withdrew 4000 and c invests 6000 more. At the end of the year a total profit of 34,200 was recorded. Find the share of b. Options: (A) 9,600 (B) 21,200 (C) 28,200 (D) 20,500 (E) none of these | A | 0 | [
"<think>\nOkay, let's see. So, there's this problem where three people, a, b, and c, start a business. Each of them invests 10,000. After 6 months, a withdraws 5000, b withdraws 4000, and c invests 6000 more. At the end of the year, the total profit is 34,200. We need to find out how much each person's share is. Th... | [
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15% of 75 is the same as x% of 450. Find x. Options: a) 1 b) 2.5 c) 3 d) 4 e) 5 | b | 0 | [
"<think>\nOkay, let's see. The problem says that 15% of 75 is the same as x% of 450. I need to find what x is. The options are from a) 1 up to e) 5. Alright, let me think.\n\nFirst, I remember that percentages can be converted into fractions or decimals. Maybe I should start by calculating 15% of 75. Let me do that... | [
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How many liters of water must be evaporated from 50 liters of a 2 percent sugar solution to get a 5 percent sugar solution? Options: (A) 20 (B) 25 (C) 30 (D) 32 (E) 35 | C | 0.25 | [
"<think>\nOkay, let's see. I need to figure out how many liters of water to evaporate from 50 liters of a 2% sugar solution to get a 5% sugar solution. The options are 20, 25, 30, 32, or 35. Hmm, let me think through this step by step.\n\nFirst, I remember that when you evaporate water from a solution, the amount o... | [
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"An amount of Rs. 100000 is invested in two types of shares. The first yields 9% p.a. and the second(...TRUNCATED) | b | 0 | ["<think>\nOkay, so I have this problem here where an amount of Rs. 100,000 is invested in two types(...TRUNCATED) | [
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"Problem: A $500 investment and a $1,500 investment have a combined yearly return of 16 percent of t(...TRUNCATED) | E | 0 | ["<think>\nOkay, let's see. I have this problem here where there's a $500 investment and a $1,500 in(...TRUNCATED) | [
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"In town X, 96 percent of the population are employed, and 24 percent of the population are employed(...TRUNCATED) | D | 0.25 | ["<think>\nOkay, let's see. The problem says that in town X, 96 percent of the population are employ(...TRUNCATED) | [
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"Find the compound interest on $800 for 1 year at 10% p.a., with compound interest compounded yearly(...TRUNCATED) | a | 0 | ["<think>\nOkay, so I need to find the compound interest on $800 for 1 year at 10% p.a., compounded (...TRUNCATED) | [
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"Of the votes cast on a certain proposal, 62 more were in favor of the proposal than were against it(...TRUNCATED) | d | 0 | ["<think>\nOkay, so I need to solve this problem where, out of the votes cast on a proposal, 62 more(...TRUNCATED) | [
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"A shopkeeper fixes the marked price of an item 30% above its cost price. The percentage of discount(...TRUNCATED) | b | 0 | ["<think>\nOkay, so there's this problem about a shopkeeper who marks an item 30% above its cost pri(...TRUNCATED) | [
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