Datasets:

---

laurentiubp

/

aquarat-scored

like 0

[ { "content": "If the radius of a cylinder is doubled and so is the height, what is the new volume of the cylinder divided by the old one?\n\n['A)8.', 'B)2', 'C)6', 'D)4', 'E)10']", "role": "user", "uuid": "43b3d12d-539a-4704-b8da-d65e9d56e92b" }, { "content": "let the radius be r and the the height be h.\nNew radius = 2r and height = 2h.\nArea (new) : Area(old) = pi∗(2r)^2∗2h/pi∗r^2∗h = 8:1.\nHence the answer is A.", "role": "assistant", "uuid": "26bcf91c-a0ad-4505-9736-cfcecdca189c" } ]

[ { "content": "Find the compound ratio of (3:2), (4:3) and (1:4) is\n\n['A)1:2', 'B)2:3', 'C)3:4', 'D)4:5', 'E)3:2']", "role": "user", "uuid": "932295a2-26dd-4ddb-8e5b-7114806658be" }, { "content": "Required ratio = 3/2 * 4/3 * 1/4 = 1/2 = 1:2\nAnswer is A", "role": "assistant", "uuid": "c4378549-020d-4960-9cac-1a933282e406" } ]

[ { "content": "If d + xy = d and x is not equal to 0, which of the following must be true?\n\n['A)x=0', 'B)x+y=0', 'C)x<y', 'D)y=0', 'E)x=d']", "role": "user", "uuid": "e9c47e3c-0b39-414e-8b41-a9b803723bbe" }, { "content": "d + xy = d --> xy=0. Since x is not equal to 0, thus y = 0.\nAnswer: D.", "role": "assistant", "uuid": "d4eb8c66-a1d3-46f3-8976-94e237b6aab1" } ]

[ { "content": "(525 + 275) × 4 × (3 + 2) = ?\n\n['A)12000', 'B)24000', 'C)16000', 'D)14000', 'E)16200']", "role": "user", "uuid": "9b4ac9ae-d950-4549-8608-173b3ea59e11" }, { "content": "(525 + 275) × 4 × (3 + 2) = ?\nor, ? = 800 × 4 × 5 = 16000\nAnswer C", "role": "assistant", "uuid": "507fae0b-914e-423a-b9f5-c8dfdda09446" } ]

[ { "content": "A man on tour travels first 150 km at 50 km/hr and the next 140 km at 70 km/hr. Find the average speed for first 290 km of tour.\n\n['A)54.11 km/hr', 'B)56.11 km/hr', 'C)58 km/hr', 'D)60.11 km/hr', 'E)None of these']", "role": "user", "uuid": "26ac646f-5d5e-40a9-97f1-0b675a872332" }, { "content": "Explanation:\nWe know Time = Distance/speed\nSo total time taken =\n(150/50+140/70)=5hours\nTime taken for 290 Km = 290/5=58km/hr\nOption C", "role": "assistant", "uuid": "ffa67e60-7069-4a97-8428-3c6e63698fad" } ]

[ { "content": "A lends Rs. 2500 to B and a certain to C at the same time at 7% p.a. simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then the sum lent to C is?\n\n['A)1522', 'B)1500', 'C)1789', 'D)2689', 'E)2689']", "role": "user", "uuid": "f150bacf-8848-4961-9b95-83af54611cc9" }, { "content": "Let the sum lent to C be Rs. x. Then,\n(2500 * 7 * 4) / 100 + (x * 7 * 4) / 100 = 1120\n7/25 x = (1120 - 700) => x = 1500\nAnswer: B", "role": "assistant", "uuid": "fd5a7bd8-049a-4ca7-b973-ed6f1f58b224" } ]

[ { "content": "Rs 1000 is being charged at 50% per annum. what is the interest for 3rd year at compound interest?\n\n['A)3277', 'B)2667', 'C)1125', 'D)2867', 'E)9996']", "role": "user", "uuid": "da4a719d-3734-4255-8304-2467ee6f5a57" }, { "content": "Explanation:\nTotal amount for two years = \\inline 1000(1.5)^2=2250\nNow , interest for third year = \\inline \\frac{2250\\times 50\\times 1}{100}=1125\nAnswer: C) 1125", "role": "assistant", "uuid": "0940e872-9ba9-4b36-9a67-7e89fc7d70bb" } ]

[ { "content": "Starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta, or epsilon, in that repeating order as the integers increase. For instance, the integer 8 is labeled delta. What is the label on an integer that is the sum of an alpha raised to the seventh power and a beta raised to the seventh power?\n\n['A)alpha', 'B)beta', 'C)gamma', 'D)delta', 'E)epsilon']", "role": "user", "uuid": "cef52dd0-0d01-4416-a847-58f4d7850598" }, { "content": "Let the alpha be 5k and let the beta be 5j+1.\n(5k)^7 + (5j+1)^7 which has the form 5k+1, which is a beta.\nThe answer is B.", "role": "assistant", "uuid": "25bb09e5-800d-42cb-a4c4-57f4f45ea979" } ]

[ { "content": "A man can row with a speed of 19 kmph in still water. If the stream flows at 8 kmph, then the speed in downstream is?\n\n['A)28', 'B)26', 'C)20', 'D)27', 'E)24']", "role": "user", "uuid": "fbf606ce-c5b4-47bd-b3c9-5ed54b9ce3a4" }, { "content": "M = 19\nS = 8\nDS = 19 + 8\n=27\nAnswer: D", "role": "assistant", "uuid": "3c4e9fe2-5b33-4988-b2b2-bae8c6ba4a29" } ]

[ { "content": "What is the dividend. divisor 15, the quotient is 9 and the remainder is 5?\n\n['A)A)140', 'B)B)134', 'C)C)148', 'D)D)158', 'E)E)160']", "role": "user", "uuid": "56e06ac3-736d-4112-a7b6-b49b6bbe34f0" }, { "content": "D = d * Q + R\nD = 15 * 9 + 5\nD = 135 + 5\nD = 140\nAnswer A", "role": "assistant", "uuid": "93bcc6a6-f3f5-4dc9-8896-fe9cce6ca68d" } ]

[ { "content": "In a Shop, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?\n\n['A)70%', 'B)50%', 'C)100%', 'D)60%', 'E)55%']", "role": "user", "uuid": "8073491b-08a0-45e8-904c-de69799883f7" }, { "content": "CP.= Rs. 100. => Profit = Rs. 320, S.P. = Rs. 420.\nNew C.P. = 125% of Rs. 100 = Rs. 125\nNew S.P. = Rs. 420.\nProfit = Rs. (420 - 125) = Rs. 295.\nReq = (295/420*100) == > 70%\nANSWER A", "role": "assistant", "uuid": "1b8530e0-565b-4caf-a360-7e8001bffc34" } ]

[ { "content": "The number of permutations of the letters of the word 'MESMERISE' is?\n\n['A)9!/(2!)2 3!', 'B)6!/(2!)2 3!', 'C)9!/(7!)2 3!', 'D)7!/(2!)2 9!', 'E)9!/(2!)4 3!']", "role": "user", "uuid": "263dca90-d375-4010-8705-0643d5360877" }, { "content": "n items of which p are alike of one kind, q alike of the other, r alike of another kind and the remaining are distinct can be arranged in a row in n!/p!q!r! ways.\nThe letter pattern 'MESMERISE' consists of 10 letters of which there are 2M's, 3E's, 2S's and 1I and 1R.\nNumber of arrangements = 9!/(2!)2 3!\nAnswer: A", "role": "assistant", "uuid": "248ed6b6-4c51-439d-807d-5810e5e4d38e" } ]

[ { "content": "A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?\n\n['A)18 min', 'B)16 min', 'C)19 min', 'D)47 min', 'E)12 min']", "role": "user", "uuid": "8d0bb633-dd6e-418d-9a71-723a63a624c9" }, { "content": "Let the length of the train be x m.\nWhen a train crosses an electric pole, the distance covered is its own length.\nSo, x = 12 * 36 * 5 /18 m = 120 m.\nTime taken to cross the platform = (120 +350)/ 36 * 5/18 = 47 min.\nAnswer:D", "role": "assistant", "uuid": "01c5eecb-4638-4882-b8e3-b25637111a81" } ]

[ { "content": "The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 17,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.\nWhat is the difference between the areas of Russia and China?\n\n['A)5,476,811 kilometers squared', 'B)7,500,148 kilometers squared', 'C)9,843,123 kilometers squared', 'D)1,878,965 kilometers squared', 'E)4,787,900 kilometers squared']", "role": "user", "uuid": "6dbd8f46-ca6e-421a-8bae-4dbc61a5c14e" }, { "content": "he difference between the areas of Russia and China is given by\n17,098,242 - 9,598,094 = 7,500,148 kilometers squared\ncorrect answer B", "role": "assistant", "uuid": "05c8b3ff-9a2b-4ebb-9902-f74dde4187ca" } ]

[ { "content": "How many times digit 6 is used while writing numbers from 100 to 1400?\n\n['A)648', 'B)350', 'C)252', 'D)225', 'E)26']", "role": "user", "uuid": "ba68fca0-536a-495e-9904-f6ae1c2843ed" }, { "content": "There are 100 numbers which begin with 600\nNext, In every 10 numbers such as 100 to 110, 110 to 120, 120 to 130 6 comes at least once. Number of such intervals = End limit - First no. / interval. Our range of numbers is 100 - 1000\n1000 - 100 = 900/10 = 90\nNumber of 10s interval in this is 90. So 90 '6s'\nSo far we have calculated 190.\nThe total now comes to 280. The nearest to which is 350. Hence B.", "role": "assistant", "uuid": "c5546216-3f33-49ec-85a8-b8f94c41aeba" } ]

[ { "content": "A dealer buys dry fruits at Rs. 100, Rs. 80, and Rs. 60 per kilogram. He mixes them in the ratio 3:4:5 by weight and sells at a profit of 50%. At what price per kilogram does he sell the dry fruits?\n\n['A)Rs. 80', 'B)Rs. 100', 'C)Rs. 95', 'D)None of these', 'E)Cannot be determined']", "role": "user", "uuid": "1ddee870-35ac-4817-9838-16e1ae28ce24" }, { "content": "Solution: Let the dealer buys 3 kg, 4 kg and 5 kg.\nPrice of total dry fruits = 3*100+4*80+5*60 = Rs. 920.\nSP = 920 + 50% of 920 = 1380.\nHence,\nPrice of mix dry fruits per kg = 1380/12 = Rs. 115.\nAnswer: Option D", "role": "assistant", "uuid": "a84c156f-5994-4939-88a4-7f248bb9a0b6" } ]

[ { "content": "John tossed a fair coin 4 times. What is the probability that the coin landed heads up exactly twice?\n\n['A)0.15', 'B)0.25', 'C)0.3', 'D)0.35', 'E)0.4']", "role": "user", "uuid": "aa354477-c99e-41cc-afc3-074ec2df60c9" }, { "content": "The probability is exactly same as the cion landed tail up once. That is 4*(1/2)^4 = 4/16 =0.25.\nThe answer is, therefore, (B).", "role": "assistant", "uuid": "95a22cd0-402e-4e30-8e42-1b097d5cce82" } ]

[ { "content": "How many integers between 314,700 and 458,600 have tens digit 1 and units digit 3?\n\n['A)10,300', 'B)10,030', 'C)1,353', 'D)1,352', 'E)1,439']", "role": "user", "uuid": "9b7df1df-6551-475b-b581-7f7ec8f0b8f0" }, { "content": "There is one number in hundred with 1 in the tens digit and 3 in the units digit:13, 113, 213, 313, ...\nThe difference between 314,700 and 458,600 is 458,600-314,700=143,900 - one number per each hundred gives 143,900/100=1,439 numbers.\nAnswer: E.", "role": "assistant", "uuid": "7c62c2a3-dd75-4cb2-9d09-38f284f959f4" } ]

[ { "content": "In how many different number of ways 5 men and 4 women can sit on a shopa which can accommodate persons?\n\n['A)2051', 'B)3024', 'C)2058', 'D)3020', 'E)4200']", "role": "user", "uuid": "66cb73a0-6e2d-45b1-ae97-e006debae824" }, { "content": "9p4 =9 x 8 x 7 x 6 = 3024\nB)", "role": "assistant", "uuid": "2662a45c-0625-4964-8f7a-2d4c7f02674a" } ]

[ { "content": "By investing Rs. 1800 in 9% stock, Syam earns Rs. 120. The stock is then quoted at\n\n['A)Rs.135', 'B)Rs. 96', 'C)Rs. 85', 'D)Rs. 122', 'E)Rs. 142']", "role": "user", "uuid": "ed5e5427-4c76-4285-9cbf-9efd99c3d920" }, { "content": "Explanation :\nAssume that face value = Rs.100.\nDividend per share = Rs.9 (as it is a 9% stock)\nBy investing Rs. 1800, he earns Rs.120\nInvestment needed to earn Rs.9 = 1800×9/120 = Rs.135\nie, stock is then quoted (then market value) = Rs.135\nAnswer : Option A", "role": "assistant", "uuid": "3429c715-4667-4d0f-9980-18ad6c341499" } ]

[ { "content": "A rectangular floor measures 2 by 3 meters. There are 5 white, 5 black, and 5 red parquet blocks available. Each block measures 1 by 1 meter. In how many different colors r patterns can be floor be parqueted?\n\n['A) 104', 'B) 213', 'C) 3^5', 'D) 705', 'E) 726']", "role": "user", "uuid": "111f833f-7101-4d14-8519-f84686064cba" }, { "content": "Total number of squares we need to fill = 6\nNumber of colors we have r= 3\nTherefore, total number of patterns = 3*3*3*3*3*3 = 729\nHowever, this is considering that we can have a case in which all tiles are the same color. Since we are given that the quantity of each tile is 5 and the number of tiles required is 6, we know that this case cannot be possible. Therefore we must subtract the cases in which all tiles will be of the same color (3 cases since there are 3 colors).\nThus our answer should be :729 - 3 = 726\nAnswer : E", "role": "assistant", "uuid": "1d811e5e-8425-4ad9-82a9-a3f29ccaa6e5" } ]

[ { "content": "Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?\n\n['A)27', 'B)29', 'C)36', 'D)29', 'E)62']", "role": "user", "uuid": "5fe13532-5228-4d2e-a2eb-6b422e978ff7" }, { "content": "Let the speed of each train be x m/sec.\nThen, relative speed of the two trains = 2x m/sec.\nSo, 2x = (120 + 120)/12 => x = 10\nSpeed of each train = 10 m/sec.\n= 10 * 18/5 =- 36 km/hr.\nAnswer:C", "role": "assistant", "uuid": "842f8c15-edfe-402a-9562-d7232414b41b" } ]

[ { "content": "John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?\n\n['A)0', 'B)1', 'C)2', 'D)3', 'E)4']", "role": "user", "uuid": "e6f920d5-4692-4443-890f-7431aca05676" }, { "content": "If he draws any combination of 3 socks he will definitely have the matching pair of either colour.\nB", "role": "assistant", "uuid": "44326f10-3b69-4695-8f55-ea50438e45cc" } ]

[ { "content": "10 men and 15 women together can complete a work in 3 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?\n\n['A)1 2/7 days', 'B)64 2/7 days', 'C)1 7/7 days', 'D)1 8/7 days', 'E)62 2/5 days']", "role": "user", "uuid": "900bcd1b-551d-4f4c-89c4-db3f8b6c5f44" }, { "content": "1 man's 1 day work = 1/100\n(10 men + 15 women)'s 1 day work = 1/3\n15 women's 1 day work = (1/3- 10/100) = 7/30\n1 woman's 1 day work = 7/450\n1 woman alone can complete the work in 64 2/7 days.\nAnswer:B", "role": "assistant", "uuid": "9e447715-175f-49f8-a20a-e5f7a47b03f3" } ]

[ { "content": "Anand and Deepak started a business investing Rs. 34,000 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is?\n\n['A)2777', 'B)2888', 'C)8400', 'D)7000', 'E)2781']", "role": "user", "uuid": "ad569ce8-0ad1-4485-ab46-11cd6e0f8458" }, { "content": "Ratio of their shares = 34000 : 35000 = 34:35\nDeepak's share = 13800 * 35/69 = Rs. 7000.\nAnswer: D", "role": "assistant", "uuid": "612d71bb-dde8-4ea7-8f23-139632e61d8d" } ]

[ { "content": "A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 90 km/hr. What is the length of the platform?\n\n['A)229', 'B)240', 'C)400', 'D)277', 'E)221']", "role": "user", "uuid": "1616be2f-4918-420e-8a60-0836c973186c" }, { "content": "Speed = 90 * 5/18 = 25 m/sec.\nLength of the train = 25 * 20 = 500 m.\nLet the length of the platform be x m . Then,\n(x + 500)/36 = 25 => x = 400 m.\nAnswer: C", "role": "assistant", "uuid": "892b352c-8af9-49db-a69c-cf175acb6e1d" } ]

[ { "content": "In a sample of associates at a law firm, 30 percent are second-year associates, and 60 percent are not first-year associates. What percentage of the associates at the law firm have been there for more than two years?\n\n['A)10', 'B)20', 'C)30', 'D)40', 'E)50']", "role": "user", "uuid": "0c5b7e66-61e2-47c4-b3ed-8e92c6eb9ad2" }, { "content": "Let the sample be 100.\nGiven 60% are not first year i.e. there could be second year (x) and more than 2 years(y) possibility.\n60% = (x) + y\nGiven 30% = second year (x)\nclub both , we get y = 30%.\nAnswer: option C is correct answer.", "role": "assistant", "uuid": "79c49b21-8df0-40b3-acb8-79f8980e80a3" } ]

[ { "content": "Best friends Sprite and Icey have are playing a game of marbles. They invite 4 of their friends to play with them. There are 36 marbles in the bag. If all 6 people are playing, how many marbles does each person get?\n\n['A)3', 'B)4', 'C)5', 'D)6', 'E)7']", "role": "user", "uuid": "32b62cc6-725b-4e2c-b5aa-62c0f001cbba" }, { "content": "Answer= D\n36 / 6 = 6\nAnswer= D", "role": "assistant", "uuid": "f6bd5862-e09f-4427-b178-1bdaa50e2851" } ]

[ { "content": "If four coins are tossed, the probability of getting two heads and two tails is\n\n['A)3/8', 'B)3/9', 'C)3/6', 'D)3/1', 'E)3/3']", "role": "user", "uuid": "e2ea74e4-e610-4a1a-b0f6-00a37ece6714" }, { "content": "Explanation:\nSince four coins are tossed, sample space = 24\nGetting two heads and two tails can happen in six ways.\nn(E) = six ways\np(E) = 6/24 = 3/8\nAnswer:A", "role": "assistant", "uuid": "73415dd8-bf41-452b-9069-a0a15c2cec4b" } ]

[ { "content": "The ratio of the adjacent angles of a parallelogram is 5 : 10. Also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?\n\n['A)168°', 'B)228°', 'C)144°', 'D)224°', 'E)None of these']", "role": "user", "uuid": "79522f4c-8df5-45aa-8875-c03a89097b7f" }, { "content": "The measures of the adjacent angles of a parallelogram add up to be 180°\nGiven\nSo, 5x + 10x = 180°\nOr, 15x = 180°\nOr, x = 12°\nHence the angles of the parallelogram are 60° and 120°\nFurther it is given\nWe know sum of all the four angles of a quadrilateral is 360°\nSo, 5y + 6y + 7y + 12 y = 360°\nOr, 5y + 6y + 7y + 12 y = 360°\nOr, 30y = 360°\nOr, y = 12°\nHence the angles of the quadrilateral are 60° , 72, 84° and 144°\nWill be 60° + 84° = 144°\nAnswer : C", "role": "assistant", "uuid": "7cec74d0-e438-412e-a83d-4d64bf71f3c2" } ]

[ { "content": "In a certificate by mistake a candidate gave his height as 25% more than actual height. In the interview panel, he clarified that his height was 5feet 5 nches. Find the % correction made by the candidate from his stated height to his actual height?\n\n['A)10', 'B)20', 'C)30', 'D)35', 'E)43']", "role": "user", "uuid": "5f249b1a-5dfd-4142-84db-02bdfaf684af" }, { "content": "His height was = 5 feet 5 inch = 5 + 60 = 65 inch. Required % correction =65*(1.25-1)* 100 = 20\nB", "role": "assistant", "uuid": "0cd26080-bd7a-48d6-a256-c84cda7c51a0" } ]

[ { "content": "The sum of money will be triple itself in 20years and simple interest find rate of interest?\n\n['A)A)5%', 'B)B)10%', 'C)C)15%', 'D)D)20%', 'E)E)25%']", "role": "user", "uuid": "64fde275-0290-40c4-a9b2-4cc855539f36" }, { "content": "T = 20 years\nP= principle amount = x\nA = total amount = 3x\nSI = simple interest = A-P = 3x-x = 2x\nR = 100SI/PT = 100.2x/20x =10%\nAnswer is B", "role": "assistant", "uuid": "1e0a0794-ef95-4f7a-a609-2521bc3aea6a" } ]

[ { "content": "A marble shop contains 5 blue marbles, 5 red marbles, and 5 green marbles. If 2 marbles are purchased at random from the shop, what is the probability that the 2 marbles will be of the red?\n\n['A)5/15', 'B)2/21', 'C)20/15', 'D)5/210', 'E)4/14']", "role": "user", "uuid": "df9534b7-d303-421e-b2fb-0add253cecec" }, { "content": "Of the 15 marbles we are wanting red:\nProbability of choosing 1st red marble: 5/15\nProbability of Choosing 2nd red marble: 4/14\nMultiply and you get 20/210 simplified to 2/21\nAnswer B.", "role": "assistant", "uuid": "3097f42e-d487-49dd-b6d0-93363541649a" } ]

[ { "content": "There are two numbers. If 20% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?\n\n['A)A)5/4', 'B)B)5/8', 'C)C)6', 'D)D)6/7', 'E)E)7']", "role": "user", "uuid": "4178ad14-b5c8-4c94-98b9-476643968406" }, { "content": "Let the two numbers be x and y.\n20/100 * x + y = 5/4y\n=> 1/5 x = 1/4 y => x/y = 5/4\nA)", "role": "assistant", "uuid": "11ef6f3b-0864-4740-bce8-3dce14990737" } ]

[ { "content": "The cost price of 17 articles is equal to the selling price of 11 articles. Find the profit percent?\n\n['A)58 2/91%', 'B)54 6/11%', 'C)58 9/11%', 'D)58 2/91%', 'E)52 2/11%']", "role": "user", "uuid": "b9a70fab-ec79-411b-a81e-b6941d5ca94b" }, { "content": "17 CP = 11 SP\n11 --- 2 CP\n100 --- ? =>54 6/11%\nAnswer:B", "role": "assistant", "uuid": "0ef262a1-ae74-4b95-b65e-d888f819290a" } ]

[ { "content": "A girl has 12 jeans and 15 tops. In how many different ways can she select a jeans and a tops?\n\n['A)108', 'B)200', 'C)90', 'D)120', 'E)180']", "role": "user", "uuid": "855f7ef7-fd9c-40a2-8e31-fcdef70becfe" }, { "content": "The girl can select one jeans in 12 ways.\nThe girl can select one top in 15 ways.\nThe number of ways in which she can select one jeans and one top is 12*15=180\nAnswer:E", "role": "assistant", "uuid": "7647d0a3-2936-4d62-a3cd-e40b8e4a2b6a" } ]

[ { "content": "In an hour a boat goes 10 Km along the stream and 4 Km against the stream. The speed of the boat in still water (in Kmph) is:\n\n['A)7 Kmph', 'B)8 Kmph', 'C)10 Kmph', 'D)12 Kmph', 'E)None of these']", "role": "user", "uuid": "e8907041-f3b3-4cba-a9f8-d23e0a4f8de9" }, { "content": "Explanation:\nLet the speed of stream = X Kmph\nand the speed of water = 8 Kmph\nX + Y = 10\nX - Y = 4\nX = 7, Y = 3\nSpeed of stream = 7 Kmph\nAnswer: Option A", "role": "assistant", "uuid": "545f0438-55b0-42e2-ba1f-bc9419cbdc72" } ]

[ { "content": "There are 10 women and 3 men in Room A. One person is picked at random from Room A and moved to room B, where there are already 3 women and 5 men. If a single person is then to be picked from room B, what is the probability that a woman will be picked?\n\n['A)13/21', 'B)49/117', 'C)40/117', 'D)15/52', 'E)5/18']", "role": "user", "uuid": "6f1be20e-9bab-4d10-8468-32d0d123fe72" }, { "content": "If M picked from room A, room B probability of picking W is 4/9\nIf W picked from room A, room B probability of picking W is 3/9\nConditional Probability\nP(W in B and M picked in A) = P(W given M picked in A)*P(M picked in A) = 10/13*4/9\nP(W in B and W picked in A) = P(W given W picked in A)*P(W picked in A) = 3/13*3/9\nSum 49/117\nAns.B", "role": "assistant", "uuid": "f2ca8c71-27fc-4390-96a4-e77b181aa0a1" } ]

[ { "content": "If the two hands in a clock are 11 minutes divisions apart,then the angle between them is\n\n['A)66°', 'B)18°', 'C)24°', 'D)60°', 'E)None of these']", "role": "user", "uuid": "5ab0850c-71d8-4bf8-87dd-37d980d6456e" }, { "content": "In a clock, each minute makes 6°\n∴ 11 minutes will make 6 × 11 = 66°\nAnswer A", "role": "assistant", "uuid": "ca60cdbc-f1fd-498a-8a01-f6515cbdcd81" } ]

[ { "content": "A part-time employee’s hourly wage was increased by 20%. She decided to decrease the number of hours worked per week so that her total income did not change. By approximately what percent should the number of hours worked be decreased?\n\n['A)9%', 'B)17%', 'C)25%', 'D)50%', 'E)100%']", "role": "user", "uuid": "e51975fc-7787-4fe9-9da3-27938a120f78" }, { "content": "Let's plug in somenicenumbers and see what's needed.\nLet's say the employee used to make $1/hour and worked 100 hours/week\nSo, the TOTAL weekly income was $100/week\nAfter the 20% wage increase, the employee makes $1.20/hour\nWe want the employee's income to remain at $100/week.\nSo, we want ($1.20/hour)(new # of hours) = $100\nDivide both sides by 1.20 to get:\nnew # of hours = 100/1.20\n≈ 83 hours\nSo, the number of hours decreases from 100 hours to (approximately) 83 hours.\nThis represents a 17% decrease (approximately) .\nAnswer : B", "role": "assistant", "uuid": "1ef7eb60-c1c3-40c4-9773-9df8541d1b40" } ]

[ { "content": "The ratio of men to women in the Snyder community choir is 4 to 5. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many women are in the Snyder choir?\n\n['A)20', 'B)24', 'C)30', 'D)32', 'E)34']", "role": "user", "uuid": "4d4b5654-704d-4c82-a975-88d2ef1c74ca" }, { "content": "Use simultaneous equations / By combination\n4x = 5y + 4\n5x = 6y + 6\nMultiply (1) by 6\nMultiply (2) by -5\nGet rid of y, and x = 6\nThen 5x = 30\nANSWER:C", "role": "assistant", "uuid": "7c8614ae-e9b7-49ab-951e-b27f56ff544e" } ]

[ { "content": "In a flower shop there were 8 flowers in each bouquet. If the seller has doubled the number of flowers in each bouquet then the new average of flowers in each bouque is\n\n['A)12', 'B)16', 'C)8', 'D)9', 'E)None of these']", "role": "user", "uuid": "cc6fd9e5-7428-4557-989f-f652c42a5d71" }, { "content": "Answer\nNow required average\n= old average x Multiplicand\n= 8 x 2 = 16\nCorrect Option: B", "role": "assistant", "uuid": "3486261c-bd41-4ea5-b25f-d8a04b76a173" } ]

[ { "content": "A train left station X at A hour B minutes. It reached station Y at B hour C minutes on the same day, after travelling C hours A minutes (clock shows time from 0 hours to 24 hours). Number of possible value(s) of A is:\n\n['A)0', 'B)1', 'C)2', 'D)3', 'E)4']", "role": "user", "uuid": "9a0cea30-76a1-4d40-a479-f5c791ae79a6" }, { "content": "Let's try to get hours and minutes values separately..\nStarting time + time taken = Reaching time..\nA hours + C hours = B hours -------- (i)\nA, C and B cannot have values greater than or equal to 24\nB minutes + A minutes = C minutes -------- (ii)\nLooking at the two equations, we get that no value of A satisfies both the equations.\nHence, option A", "role": "assistant", "uuid": "f64d8ce1-8361-4c47-b47f-5bf79cb6565e" } ]

[ { "content": "A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?\n\n['A)1000', 'B)3783', 'C)1837', 'D)3799', 'E)3786']", "role": "user", "uuid": "8830c5d2-15b7-4ca2-a3eb-c235e173e742" }, { "content": "90%\n104%\n--------\n14% ---- 140\n100% ---- ? =>\nRs.1000\nAnswer: A", "role": "assistant", "uuid": "8e084026-75aa-4e89-9657-14a42086ad95" } ]

[ { "content": "In a certain corporation, there are 300 male employees and 150 female employees. It is known that 40% of the male employees have advanced degrees and 40% of the females have advanced degrees. If one of the 450 employees is chosen at random, what is the probability this employee has an advanced degree or is female?\n\n['A)1/2', 'B)2/3', 'C)3/5', 'D)7/10', 'E)11/15']", "role": "user", "uuid": "67b968e0-7fdc-4ee4-9ed3-cf3cb5db3163" }, { "content": "P(female) = 150/450 = 1/3\nP(male with advanced degree) = 0.4*300/450 = 120/450 = 4/15\nThe sum of the probabilities is 9/15 = 3/5\nThe answer is C.", "role": "assistant", "uuid": "50fef1ac-f15a-4f36-a625-a3c5e0c6c0db" } ]

[ { "content": "What is the rate percent when the simple interest on Rs.1500 amount to Rs.250 in 5 Years?\n\n['A)3.33%', 'B)6%', 'C)2%', 'D)95%', 'E)1%']", "role": "user", "uuid": "76d1d2b5-2011-4301-93ad-196bbe9744d4" }, { "content": "Interest for 5yrs = 250\nInterest for 1yr = 50\nInterest rate = 50/1500 x 100 = 3.33%\nAnswer : A", "role": "assistant", "uuid": "fa643dfe-0759-40af-bbf8-cf29788c83b0" } ]

[ { "content": "In how many ways can seven different rings be worn on four fingers of one hand?\n\n['A)10', 'B)12', 'C)35', 'D)16', 'E)18']", "role": "user", "uuid": "835506ef-19e5-4017-82be-4fe15232fcfe" }, { "content": "Required number of ways = ways of selecting 4 objects out of 7 given objects\n= 7C4 = 7*6*5*4/24= 35\nAnswer C", "role": "assistant", "uuid": "3bb2bc2c-69d6-4c69-9dd1-b132a964800f" } ]

[ { "content": "The ratio between the number of sheep and the number of horses at the Stewar farm is 3 to 7. If each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form??\n\n['A)24', 'B)28', 'C)32', 'D)56', 'E)58']", "role": "user", "uuid": "065a2b18-4010-4997-9825-c7f2d10f96a3" }, { "content": "et no of sheep and horses are 3k and 7k\nno of horses= 12880/230=56\nnow 7K=56 and k=8\nno of sheep=(3*8) =24\nANSWER:A", "role": "assistant", "uuid": "c8081636-cc56-48c2-84f4-51120197cfed" } ]

[ { "content": "A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?\n\n['A)33', 'B)7', 'C)8', 'D)28', 'E)91']", "role": "user", "uuid": "942d8b68-f90d-4960-822d-944b1cac1ade" }, { "content": "2/7 - 1/x = 1/4\nx = 28\nAnswer: D", "role": "assistant", "uuid": "2d89f354-553a-4eac-9a26-d17c6d4c7717" } ]

[ { "content": "The area of a rectangular field is equal to 750 square meters. Its perimeter is equal to 110 meters. Find the width of this rectangle.\n\n['A)5', 'B)10', 'C)15', 'D)20', 'E)25']", "role": "user", "uuid": "615ca629-df45-4e3f-89e9-8d7cbf19da5e" }, { "content": "L * W = 750 : area , L is the length and W is the width.\n2 L + 2 W = 110 : perimeter\nL = 55 - w : solve for L\n(55 - W) * W = 750 : substitute in the area equation\nW = 25 and L = 30\ncorrect answer E", "role": "assistant", "uuid": "6f638aa3-2845-4bb2-ae0e-830fa830fd85" } ]

[ { "content": "3 boys and 7 girls can complete a work in 10 days . But 4 boys and 6 girls need 8 days to complete the same work . In how many days will 10 girls complete the same work?\n\n['A)20 days', 'B)30 days', 'C)40 days', 'D)50 days', 'E)60 days']", "role": "user", "uuid": "49e2017e-58d3-49d0-855a-ea838501ce55" }, { "content": "Work done by 4 boys and 6 girls in 1 day = 1/8\nWork done by 3 boys and 7 girls in 1 day = 1/10\nLet 1 man does m work in 1 day and 1 woman does w work in 1 day. The above equations can be written as\n4m + 6w = 1/8 ---(1)\n3m + 7w = 1/10 ---(2)\nSolving equation (1) and (2) , we get m=11/400 and w=1/400\nAmount of work 10 girls can do in a day = 10 × (1/400) = 1/40\nIe, 10 girls can complete the work in 40 days\nC", "role": "assistant", "uuid": "5190ff8f-1f4e-450f-a120-2451a41451e5" } ]

[ { "content": "A single discount equivalent to the discount series of 30%, 10% and 5% is?\n\n['A)40.15', 'B)31.7', 'C)31.6', 'D)31.5', 'E)31.1']", "role": "user", "uuid": "98fe0257-ae78-430c-aa0e-5fe49ab68820" }, { "content": "100*(70/100)*(90/100)*(95/100) = 59.85\n100 - 59.85 = 40.15\nAnswer:A", "role": "assistant", "uuid": "8574453e-035d-497b-ae21-7b47ec1aa264" } ]

[ { "content": "In a football team, scored 3 goals luis diego more than 2 goals more than samuel who scored three parts of what I write down luis and diego. Diego scored many goals?\n\n['A)2', 'B)4', 'C)0', 'D)1', 'E)3']", "role": "user", "uuid": "b5daeb37-eba7-4af9-a9a1-3038bfdf892a" }, { "content": "Realizamos un sistemas de tres ecuaciones, Luis=3+Diego; Luis=2+Samuel, Samuel=Luis+Diego/3\nResolvemos\nDiego=0\nAnswer: C", "role": "assistant", "uuid": "b82362cc-968d-4e10-b89d-af8860639de9" } ]

[ { "content": "A trader sells two brands of petrol; one is Extra Premium and other one is speed. He mixes 12 litres Extra Premium with 3 litres of speed and by selling this mixture at the price of Extra Premium he gets the profit of 9.09. If the price of Extra Premium Rs. 48 per litre, then the price of Speed is:\n\n['A)Rs. 38 per litre', 'B)Rs. 42 per litre', 'C)Rs. 28 per litre', 'D)Rs. 28 per litre', 'E)None of These']", "role": "user", "uuid": "34bcdb9c-e213-4d45-be10-f6a0ec9c3718" }, { "content": "Solution: Selling price mix EP,\n= (CP + 9.09% of CP)\n48 = 12/11 of CP\nCP = 44\nNo, using Alligation method,\nMCQ Aptitude Profit and Loss11\n4:1 Thus,\nX = 44\nThus, the price of speed brand is Rs. 28/litre.\nAnswer: Option C", "role": "assistant", "uuid": "4aa371df-2845-4d70-afcc-13e36b28712a" } ]

[ { "content": "A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good?\n\n['A)20/67', 'B)20/63', 'C)20/19', 'D)20/18', 'E)20/28']", "role": "user", "uuid": "16f5540f-9d59-407c-ab49-0a3d91912b28" }, { "content": "Required probability\n= (⁵C₃ . ⁴C₁)/⁹C₄ = (10 * 4)/126\n= 20/63\nAnswer: B", "role": "assistant", "uuid": "9cad5e1e-edbb-470e-bd54-96f367ca0980" } ]

[ { "content": "The sum of two consecutive number is 109. Which is the larger number?\n\n['A)42', 'B)43', 'C)44', 'D)45', 'E)55']", "role": "user", "uuid": "d71e374b-868e-4977-bbcd-221009ce6c92" }, { "content": "Let consecutive number be x, x+1\nTherefore sum of the consecutive number is x + x+1=109\n2x+1=109\n2x=108\nx=54\nTherefore larger number is x+1=55\nANSWER:E", "role": "assistant", "uuid": "ae51fc30-54dd-40bc-83cb-f0b4f6b4ddbc" } ]

[ { "content": "How much time will it take for an amount of Rs. 400 to yield Rs. 100 as interest at 5% per annum of simple interest?\n\n['A)5 years', 'B)4 years', 'C)7 years', 'D)6 years', 'E)2 years']", "role": "user", "uuid": "d82b2be1-4dd4-4a15-80fc-733834b1eeab" }, { "content": "Explanation:\nTime = (100 x 100)/(400 x 5) years\n= 5 years.\nAnswer: A", "role": "assistant", "uuid": "fd3f0ae1-aa51-4c0a-a17c-9b5b81e365b3" } ]

[ { "content": "When positive integer m is divided by positive integer n, the remainder is 12. If m/n = 24.2, what is the value of n ?\n\n['A) 120', 'B) 60', 'C) 30', 'D) 24', 'E) 12']", "role": "user", "uuid": "ae5c41ac-b23c-4cab-939a-c42ae2c33fc5" }, { "content": "n = decimal part of 24.2 * remainder i.e. (12)\nHence 0.2 * n = 12\nn = 60.B", "role": "assistant", "uuid": "822e8e92-aa3f-49e7-939f-1f191569ed15" } ]

[ { "content": "In an apartment building that has 490 units, 4 out of every 7 units are currently rented, including 1/4 of the one-bedroom units. If, of the rented apartments, there is a 6:1 ratio of two-bedroom units to one-bedroom units, and the building only consists of two-bedroom and one-bedroom units, how many two-bedroom units are not rented?\n\n['A)50', 'B)90', 'C)100', 'D)105', 'E)140']", "role": "user", "uuid": "70a056a7-9946-468e-881a-c72f8a2d105c" }, { "content": "Rented = 4/7*490 = 280.\nRented two-bedroom = 6/7*280 = 240;\nRented one-bedroom = 1/7*280 = 40 (or 280-240=40).\nRented one-bedroom units are 1/4 of all one-bedroom: 1/4*{All one bedroom} = 40 --> {All one-bedroom} = 160\n{All two-bedroom} = 490 - 160 = 330\nTwo-bedroom not rented = 330 - 240 = 90\nB", "role": "assistant", "uuid": "c15f7ab3-2830-48ac-8e47-9a17b2c46974" } ]

[ { "content": "In the rectangular coordinate system, points (8, 0) and (– 8, 0) both lie on circle C. What is the maximum possible value of the radius of C ?\n\n['A)2', 'B)4', 'C)8', 'D)16', 'E)None of the above']", "role": "user", "uuid": "0ed606e3-72f2-49cc-a81a-c6625b221e29" }, { "content": "The answer is C\nIt takes 3 distinct points to define a circle. Only 2 are given here.\nThe two points essentially identify a single chord of the circle C. Since no other information is provided, however, the radius of the circle can essentially be anything. All this information tell us is that the radius isgreater 8 C", "role": "assistant", "uuid": "e3a0608b-c160-4d6e-ac17-c0faede35183" } ]

[ { "content": "The difference between the simple interest received from two different sources on Rs.1800 for 3 years is Rs.13.50. The difference between their rates of interest is\n\n['A)0.15%', 'B)0.25%', 'C)0.35%', 'D)0.45%', 'E)0.55%']", "role": "user", "uuid": "5aaf0130-5e54-431c-8342-1bcf1ec798d3" }, { "content": "(1800xR1x3)/100-(100xR2x3)/100 =13.50\n5400(R1-R2)=1350\nR1-R2 = 1350/5400=0.25%\nanswer : B", "role": "assistant", "uuid": "3aec55a3-02b1-4d6a-ac48-9ef179db7335" } ]

[ { "content": "David walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 4 hours 20 minutes. He would have gained 2 hours by driving both ways. How long would it have taken for him to walk both ways.\n\n['A)5 h 20 min', 'B)4 h 15 min', 'C)6 h', 'D)7 h', 'E)6 h 20 min']", "role": "user", "uuid": "d720740d-17b1-47d1-9f71-84f565706dc8" }, { "content": "1.Walking to to a viewpoint+Driving back=4 hours 20 minutes\n2.Driving to a viewpoint+Driving back=4 hours 20 minutes - 2 hours=2 hours 20 minutes, thereforeone way driving=2 hours 20 minutes/2 =1 hours 10 minutes.\n3. From 1.one way driving=4 hours 20 minutes-1 hours 10 minutes=3 hours 10 minutes.\n4.Walking to to a viewpoint+Walking back=3 hours 10 minutes+3 hours 10 minutes=6 hours 20 minutes.\nAnswer: E", "role": "assistant", "uuid": "aecaf6e8-1ab0-4439-849c-5822027f9de1" } ]

[ { "content": "A woman has three blouses of different colors, three skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?\n\n['A)8', 'B)12', 'C)16', 'D)17', 'E)18']", "role": "user", "uuid": "9218b663-c328-465a-a0d4-5758a914e409" }, { "content": "total ways = 3*3*2=18..\nnow its better to find the ways in which the pink blouse and green skirt are together and subtract from total to get the answer..\nthe ways in which the pink blouse and green skirt are together=1*1*2=2..\ntotal ways =18-2=16..\nANSWER:C", "role": "assistant", "uuid": "902fe3a1-a128-48c5-bf1e-f8433f75295d" } ]

[ { "content": "Find the value of 72514 x 9999 = m?\n\n['A)345434667', 'B)246465757', 'C)465767867', 'D)725077485', 'E)645354643']", "role": "user", "uuid": "78589cf5-fdbf-45b6-9c89-e3bcde12a6aa" }, { "content": "72514x 9999 = 72514x (10000 - 1)\n= 72514 x 10000 - 72514 x 1\n= 725140000 - 72514\n= 725077485\nD", "role": "assistant", "uuid": "a2d49a9b-01dd-4fb2-82dc-b2e0cbb2e435" } ]

[ { "content": "If a continuous cable 10 meters long was marked off at intervals of 1/3 meter and also 1/5 meter, and then if the cable were cut at each mark, how many different size length of cable would result?\n\n['A)1', 'B)2', 'C)3', 'D)4', 'E)5']", "role": "user", "uuid": "ee983138-d69c-4be6-85bc-48a1f7d55fa7" }, { "content": "In this particular example length (10 meter) is just extraneous information.\nThe location of the marks for 1/3 meter would be 5/15, 10/15, 15/15, etc...\nThe location of the marks for 1/5 meter would be 3/15, 6/15, 9/15, 12/15, 15/15, etc...\nThe distances between marks are 3/15, 2/15, and 1/15.\nThe answer is C.", "role": "assistant", "uuid": "02b5f35f-fecc-425e-99f2-3afb923e7e29" } ]

[ { "content": "A set of data consists of the following 8 numbers: 0, 2, 4, 6, and 8. Which two numbers, if added to create a set of 7 numbers, will result in a new standard deviation that is close to the standard deviation for the original 5 numbers?\n\n['A)-1 and 9', 'B)4 and 4', 'C)3 and 5', 'D)2 and 6', 'E)0 and 8']", "role": "user", "uuid": "b2584422-0776-4dca-8474-a5802941a2d1" }, { "content": "If you are in for some calculations , this is how I got to it\nmean = 4\nsd = \\sqrt{8} = 2.8\nExpected values for the SD to not change are - One value below SD from mean is (4 - 2.8) = 1.2 , and one value above SD is (4 + 2.8) = 6.8\nThis would mean , adding 1.2 ans 6.8 would have no impact on the SD . SD remains the same when these two numbers are added. Now for SD to change the least , we need to add two values that are closest to these two values.\nHence any two values that are closest to 1.2 and 6.8 would change the SD , the least.\n1. -1 , 9\ndistance between (1,9) and (1.2 and 6.8) is 2.2 and 2.2\n2. 4 , 4\ndistance etween (4,4) and (1.2 , 6.8) is 2.8 and 2.8\n3. 3 , 5\nDistance is - 1.8 and 1.8\n4. 2 , 6\nDistance is - 0.8 and 0.8\n5. 0 , 8\nDistnace is - 1.2 and 1.2\nHence from above , we see that adding 4 and 4 , results in a value that would change the SD to the least. Hence B", "role": "assistant", "uuid": "88243422-6485-4f2e-8347-6a787e4acef4" } ]

[ { "content": "If a tire rotates at 400 revolutions per minute when the car is traveling 120km/h, what is the circumference of the tire?\n\n['A)7 meters', 'B)9 meters', 'C)8 meters', 'D)5 meters', 'E)3 meters']", "role": "user", "uuid": "a24c659f-8a48-4bcb-a6e9-37b71896da6d" }, { "content": "400 rev / minute = 400 * 60 rev / 60 minutes\n= 24,000 rev / hour\n24,000 * C = 12,0000 m : C is the circumference\nC = 5 meters\ncorrect answer D", "role": "assistant", "uuid": "ecad3927-2328-4981-9365-603e72197bb0" } ]

[ { "content": "In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 50 liters and they are all empty, how much money total will it cost to fuel all cars?\n\n['A)320$', 'B)380$', 'C)420$', 'D)450$', 'E)411$']", "role": "user", "uuid": "71815058-2d54-408d-b573-9c447ea0bf7b" }, { "content": "Total Cost = ( 1.75*12 ) + ( 0.65 * 12 * 50) = 21 + 390 => 411\nHence answer will be (E)", "role": "assistant", "uuid": "6d6c232c-7362-4858-af9e-0f738b58ff7d" } ]

[ { "content": "The length of the bridge, which a train 110 metres long and travelling at 45 km/hr can cross in 30 seconds, is:\n\n['A)230', 'B)240', 'C)245', 'D)250', 'E)265']", "role": "user", "uuid": "214509e3-4c7e-4fcc-b50f-cd2242870bc9" }, { "content": "Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (110 + x)/30 = 25/2 => 2(110 + x) = 750 => x = 265 m.\nAnswer: Option E", "role": "assistant", "uuid": "df64182d-bece-4267-a533-392a81c5bb6c" } ]

[ { "content": "Paulson spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%.Find the percentage increase in his savings .\n\n['A)25', 'B)35', 'C)50', 'D)20', 'E)15']", "role": "user", "uuid": "f061b95f-e639-4bf5-a7a9-1f2a737d8fd8" }, { "content": "Let the original income=$100. Then, expenditure=$75 and\nsavings =$25\nNew income =$120, New expenditure =\n$((110/100)*75)=Rs.165/2\nNew savings = $(120-(165/2)) = $75/2\nIncrease in savings = $((75/2)-25)=$25/2\nIncrease %= ((25/2)*(1/25)*100)% = 50%.\nAnswer C) 50.", "role": "assistant", "uuid": "547e3b96-238d-4aea-88a1-dc6ec99f666a" } ]

[ { "content": "The average weight of 10 persons increases by 3.2 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?\n\n['A)76 kg', 'B)80 kg', 'C)85 kg', 'D)97 kg', 'E)None']", "role": "user", "uuid": "645d03ba-b726-4160-ba8b-2b85bdf9801c" }, { "content": "Solution\nTotal weight increased\t= (10 x 3.2)kg\n= 32 kg.\nWeight of new person\t= (65 + 32)kg\n= 97 kg.\nAnswer D", "role": "assistant", "uuid": "21f46529-d8ea-47ad-a10e-8215b3711c13" } ]

[ { "content": "How many possible ways can 3 girls (Rebecca, Kate, Ashley) go on a date with 3 boys (Peter, Kyle, Sam)?\n\n['A)3', 'B)4', 'C)5', 'D)6', 'E)8']", "role": "user", "uuid": "098126f2-53d6-4ddc-8d7a-17cb0ab716bf" }, { "content": "Any one girl can go with 3 boys.\n2nd girl can go with remaining 2 boys\nand 3rd girl can go with remaining 1 boy\n3! i.e 6 (D) is the answer", "role": "assistant", "uuid": "ed34fe74-0f4d-422c-9300-637ce1c7407d" } ]

[ { "content": "If f(b)=b^2 and b is a positive integer, which of the following CANNOT be the value of f(f(b))?\n\n['A)1', 'B)81', 'C)200', 'D)256', 'E)625']", "role": "user", "uuid": "541e4441-0d99-4d47-a128-93e71a4c807a" }, { "content": "f(b)=b^2\nf(f(b)) = (b^2)^2 = b^4\nTherefore f(f(b)) will be numbers that are 4th power of other numbers.\nChecking the options:\n1 = 1^$\n81 = 3^4\n200. This cannot be written as the 4th power of any number\n256 = 4^4\n625 = 5^4\nAnswer: C", "role": "assistant", "uuid": "9e3f38d7-2896-4062-ade5-93b25b2d4f90" } ]

[ { "content": "If 2a = 4b = 10, then 40ab =\n\n['A)50', 'B)100', 'C)250', 'D)450', 'E)500']", "role": "user", "uuid": "4d59dc6f-1e45-412d-8ae7-adb7b9a0dc17" }, { "content": "2a * 4b = 10 * 10 = 100\n8 ab = 100\ni.e. 40 ab = 500\nAnswer: Option E", "role": "assistant", "uuid": "143661f6-19b7-48df-a2aa-71d50f491d43" } ]

[ { "content": "In a 1000 m race, A beats B by 80 m and B beats C by 100 m. In the same race, by how many meters does A beat C?\n\n['A)145 m', 'B)172 m', 'C)268 m', 'D)129 m', 'E)218 m']", "role": "user", "uuid": "5f42ca77-b4bb-45a2-8f09-c9f57382a851" }, { "content": "By the time A covers 1000 m, B covers (1000 - 80) = 920 m.\nBy the time B covers 1000 m, C covers (1000 - 100) = 900 m.\nSo, the ratio of speeds of A and C =\n1000/920 * 1000/900 = 1000/828 So, by the time A covers 1000 m, C covers 828 m.\nSo in 1000 m race A beats C by 1000 - 828 = 172 m.\nAnswer:B", "role": "assistant", "uuid": "93c9e897-bdf9-4fed-9d1c-54b3c4bd2c93" } ]

[ { "content": "Which of the following describes all values of x for which 16–x^2 >= 0?\n\n['A) x >= 1', 'B) x <= –1', 'C) 0 <= x <= 1', 'D) x <= –1 or x >= 1', 'E) –4 <= x <= 4']", "role": "user", "uuid": "bc5b14eb-8e32-41a4-94de-61bf8d18cba6" }, { "content": "16 - x^2 >=0\nmeans x^2 - 16 <=0\n=> (x-4)(x+4) <= 0\n=> -4 <= x <= 4\nAnswer - E", "role": "assistant", "uuid": "1cbfb7b7-0852-4f41-8bd4-4f161f5f40eb" } ]

[ { "content": "what is the maximum possible remainder when a number 104^n is divided by 51 ? (Assume n be any positive integer)\n\n['A)29', 'B)32', 'C)96', 'D)85', 'E)78']", "role": "user", "uuid": "c07db18f-4e75-40a2-9671-90bd8b548cb5" }, { "content": "let n=1 then 104/51= 2(rem)\nfor getting a max rem put n=5, because rem(2)*5= 32 which is less than 51\nANSWER:B", "role": "assistant", "uuid": "5d0f3160-83ee-4a21-b646-d81e8dee905a" } ]

[ { "content": "What is the sum of the first 15 terms of an A.P whose 11 th and 7 th terms are 5.25 and 3.25 respectively\n\n['A)56.25', 'B)60', 'C)52.5', 'D)5.25', 'E)None of these']", "role": "user", "uuid": "e3920cf0-6b4a-4d04-859a-35b722651b5a" }, { "content": "a +10d = 5.25, a+6d = 3.25, 4d = 2, d = ½\na +5 = 5.25, a = 0.25 = ¼, s 15 = 15/2 ( 2 * ¼ + 14 * ½ )\n= 15/2 (1/2 +14/2 ) = 15/2 *15/2 =225/ 4 = 56.25\nANSWER:A", "role": "assistant", "uuid": "b9aee539-b89e-4f06-a55f-a9c861ee1b5f" } ]

[ { "content": "What will be the compound interest on a sum of Rs. 29,000 after 3 years at the rate of 12% p.a.?\n\n['A)s.11123.77', 'B)s.11742.91', 'C)s.11123.20', 'D)s.10123.28', 'E)s.10123.21']", "role": "user", "uuid": "2f60c578-8c3d-4e4d-bfb4-ca4f80c2fe79" }, { "content": "Amount = [29000 * (1 + 12/100)3]\n= 29000 * 28/25 * 28/25 * 28/25\n= Rs. 40742.91\nC.I. = (40742.91 - 29000)\n= Rs. 11742.91\nAnswer:B", "role": "assistant", "uuid": "cd39c1cb-1df4-4d46-a2cc-573863b3c60e" } ]

[ { "content": "P, Q, R, S, T and U are six cities which are in a row in the same order. A bus, b1 travels from P to U and another bus b2 travel from U to P. The bus b1 reaches S at 10:40 and bus b2 reaches Q at 10:35 if the travel time between any two adjacent cities is 40 minutes and the stoppage time at each city is 15 minutes, then at what time do they start at their respective destinations?\n\n['A)8:00, 7:00', 'B)8:00, 7:10', 'C)8:10, 7:10', 'D)8:15, 7:25', 'E)8:10, 7:00']", "role": "user", "uuid": "380b0f3c-e651-4bd6-ae9b-a910cd6fe5f0" }, { "content": "Explanation:\nThe bus b1, which started at P, reached S at 10:40, passing through the intermediary cities Q and R.\nThe time taken to travel from P to S\n= 3 * 40 + 2 * 15 = 150minute\n(journey)+(stoppage) = 2 hrs 30 minutes.\nHence, b1 started at 10:40 - 2:30 = 8:10 at P.\nb2 reached Q, starting at U, through the city T, S and R.\nThe time taken by it to reach S = 4 * 40 + 3 * 15 = 205 minutes = 3 hr 25 minutes.\nHence, b2 started at, 10:35 - 3:25 = 7:10, at U.\nANSWER IS C", "role": "assistant", "uuid": "a7bf9aaf-5634-4838-9d3c-8fb27ae1403d" } ]

[ { "content": "Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 9 percent during the second year, and decreased by 10 percent during the third year. What is the value of the account today?\n\n['A)$10,350', 'B)$10,395', 'C)$10,791', 'D)$11,500', 'E)$12,705']", "role": "user", "uuid": "7ad62b66-bf7d-434b-a060-eb1d843d5e3a" }, { "content": "the amount at the end of first year will become the principle for 2nd year, applying this trick and calculating we get the amount at the end of third year to be 10791. So the answer is (C).", "role": "assistant", "uuid": "226095ae-d856-4102-aac1-f7698bef87da" } ]

[ { "content": "A person crosses a 600600 metre long street in 55 minutes. What is his speed in km per hour?\n\n['A)8.2', 'B)4.2', 'C)6.1', 'D)7.2', 'E)9.1']", "role": "user", "uuid": "e2e1ec96-321f-4914-b5c2-a09d5ddb2184" }, { "content": "Explanation:\nSolution 1Distance =600=600 metre =0.6=0.6 km\nTime =5=5 minutes =112=112 hour\nSpeed=distancetime=0.6(112)Speed=distancetime=0.6(112) =7.2 km/hr\nAnswer is D", "role": "assistant", "uuid": "e7ed5d50-3741-48ba-ac5c-2780493be59b" } ]

[ { "content": "The value of a watch depreciates at the rate of 20% every year. It was purchased 4 years ago. If its present value is Rs. 2048, its purchase price was\n\n['A)3500', 'B)4000', 'C)4500', 'D)5000', 'E)5500']", "role": "user", "uuid": "deb6294c-1f9c-4f5c-a0aa-bdf1f443d893" }, { "content": "Explanation:\n= Rs.5000\nAnswer: D", "role": "assistant", "uuid": "dda04c5e-02ae-482d-807a-8c45bdeb3bad" } ]

[ { "content": "The number of stamps that P and Q had were in the ratio of 5:3 respectively. After P gave Q 10 stamps, the ratio of the number of P's stamps to the number of Q's stamps was 9:7. As a result of the gift, P had how many more stamps than Q?\n\n['A)20', 'B)30', 'C)40', 'D)60', 'E)90']", "role": "user", "uuid": "d22f0ab6-33a7-4565-b9ad-fedd71055848" }, { "content": "P started with 5k stamps and Q started with 3k stamps.\n(5k-10)/(3k+10) = 9/7\n35k - 27k = 160\nk = 20\nP has 5(20) - 10 = 90 stamps and Q has 3(20)+10 = 70 stamps.\nThe answer is A.", "role": "assistant", "uuid": "6d2f6c6a-efbe-445a-b1ba-dd76d8bcb4d1" } ]

[ { "content": "There are 6 gentlemen and 5 ladies to dine at a round table. In how many ways can they seat themselves so that no two ladies are seated together.\n\n['A)85400', 'B)36400', 'C)86400', 'D)65600', 'E)88600']", "role": "user", "uuid": "f1cf6fe8-fb2c-402f-a346-ed5574c73b75" }, { "content": "6 men can be arranged around a table in (6-1)!=5! ways.\nNow, if we place each woman between the men then no two women will be together. There are 6 available slots between the men, thus 6C5=6 is the number of ways we can choose 5 slots out of 6 for the women.\nNext, these 5 women can be arranged in 5! ways, hence the total number of ways is 5!*6*5!=86,400.\nAnswer: C.", "role": "assistant", "uuid": "ead6acd4-2d59-4d71-857b-b22036f657f1" } ]

[ { "content": "275, 132, 462, 396, 327, 891, 121\n\n['A)327', 'B)228', 'C)2768', 'D)028', 'E)272']", "role": "user", "uuid": "3da9c311-b03c-4f05-bd6a-ca75c868b2fc" }, { "content": "Explanation:\nIn each number except 327, the middle digit is the sum of the other two.\nANSWER: A", "role": "assistant", "uuid": "f169d26a-f178-4d19-8505-efcedce5eb33" } ]

[ { "content": "An unbiased die is tossed .find the probability of getting a multiple of 3\n\n['A)1/3', 'B)5/3', 'C)2/3', 'D)7/3', 'E)3/7']", "role": "user", "uuid": "30109ba5-953d-4168-8458-d78e74b5b962" }, { "content": ". Here S={1,2,3,4,5,6}\nLet E be the event of getting the multiple of 3\nthen ,E={3,6}\nP(E)=n(E)/n(S)=2/6=1/3\nOption: A", "role": "assistant", "uuid": "17aeed20-eccf-4221-bcc2-a3e727278f8f" } ]

[ { "content": "TOM traveled the entire 100 miles trip. If he did the first 50 miles of at a constant rate 20miles per hour and the remaining trip of at a constant rate 50 miles per hour, what is the his average speed, in miles per hour?\n\n['A)28.36 mph', 'B)26.55 mph', 'C)28.57 mph', 'D)25.56 mph', 'E)28.45 mph']", "role": "user", "uuid": "0d6530b2-3a7e-472a-8149-4b86f3dcadc8" }, { "content": "avg speed = total distance/ total time = (d1+d2)/(t1+t2) = (50+50) / ((50/20)+(50/50)) = 60*2/3 = 28.57 mph\nC", "role": "assistant", "uuid": "96824e7f-6916-4004-9475-62cbda7a8d6c" } ]

[ { "content": "There are 300 seniors at Morse High School, and 50% of them have cars. Of the remaining grades (freshmen, sophomores, and juniors), only 10% of them have cars. If 18% of all the students at Morse have cars, how many students are in the three lower grades?\n\n['A)600', 'B)900', 'C)1200', 'D)1350', 'E)1500']", "role": "user", "uuid": "5cc707ab-9c68-4751-b02a-518ea30b08c2" }, { "content": "Let x be the number of students in the lower three grades.\n0.1x + 150 = 0.18(x+300)\n0.08x = 96\nx = 1200\nThe answer is C.", "role": "assistant", "uuid": "d538a4ea-3f17-47d7-aa5c-7aecca993869" } ]

[ { "content": "2+2+ 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 =\n\n['A) 2^9', 'B) 2^10', 'C) 2^12', 'D) 2^16', 'E) 2^20']", "role": "user", "uuid": "a432d33b-38ba-4da9-a753-405354761086" }, { "content": "Let's see that: 2 + 2 is 2^2, then: 2^2 + 2^2 becomes 2 x 2^2 that is 2^3. You follow with the next: 2^3 + 2^3 is equal to 2 x 2^3 that is 2^4. Then is assumed right before 2^8: 2^8 x 2^8 becomes 2 x 2^8 that is 2^9. Option A, 2^9.", "role": "assistant", "uuid": "d4ba9b4f-53a9-4adb-9eaa-cb080976de5c" } ]

[ { "content": "in a tennis match the probability for A to win the match is 2/3 and he has to win 3 sets to win the match so what is the probability for A to win the match\n\n['A)182/243', 'B)172/243', 'C)162/243', 'D)192/243', 'E)292/243']", "role": "user", "uuid": "63e49b29-95f4-45b6-8563-ebe892d00b6b" }, { "content": "The sequence of winning as follows:\nSequence Probability\n----------------- -----------\nW W L W 8/81\nW W L L W 8/243\nW W W 8/27\nW L L W W 8/243\nW L W L W 8/243\nW L W W 8/81\nL L W W W 8/243\nL W L W W 8/243\nL W W L W 8/243\nL W W W 8/81\nThus, by adding all the above probabilities, we get the probability for A to win the match as : 192/243\nANSWER:D", "role": "assistant", "uuid": "7ab87e77-d573-4ecd-be92-7470effae0c4" } ]

[ { "content": "Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 7?\nA. 48 kmph\n\n['A)33', 'B)54', 'C)28', 'D)27', 'E)16']", "role": "user", "uuid": "0c0608ff-30c4-42ac-8ef0-317825d2991b" }, { "content": "Let the distances between city A to B and B to C be 2x km and 7x km respectively.\nTotal time taken to cover from A to C\n= (2x)/40 + (7x)/60 = (6x + 14x)/120 = 20x/120 = x/6 Average speed = (2x + 7x)/(x/6) = 54 kmph.\nAnswer: B", "role": "assistant", "uuid": "85cfa8e4-2feb-48f5-8d0a-fe596885b599" } ]

[ { "content": "What is the smallest number which when diminished by 10, is divisible 2, 6, 12 and 24?\n\n['A)35', 'B)34', 'C)20', 'D)35', 'E)342']", "role": "user", "uuid": "b629df46-982e-442f-890c-ffb20e9d41ad" }, { "content": "Required Number\n= (LCM of 2, 6, 12 and 24) + 12\n= 24 + 10 = 34\nOption B", "role": "assistant", "uuid": "b8b3ccc9-81d6-41d1-9ad4-94b8347b355e" } ]

[ { "content": "The distance light travels in one year is approximately 5,870,000,000,000 miles. Find the distance light travels in 100 years?\n\n['A)587 × 108 miles', 'B)587 × 10-12 miles', 'C)587 × 1010 miles', 'D)587 × 10-10 miles', 'E)587 × 1012 miles']", "role": "user", "uuid": "f63fa82d-5c78-4ed6-ad97-b780f256ddc2" }, { "content": "The distance of the light travels in 100 years is:\n5,870,000,000,000 × 100 miles.\n= 587,000,000,000,000 miles.\n= 587 × 1012 miles.\nAnswer is B.", "role": "assistant", "uuid": "378a33a0-999b-4c45-8fc2-d80392294e74" } ]

[ { "content": "Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:\n\n['A)10', 'B)18', 'C)36', 'D)72', 'E)62']", "role": "user", "uuid": "08fb9cf9-ef2c-4632-9d53-aeea243ef1dc" }, { "content": "Let the speed of the train is x\nRealtive speed between the trains =2x\ntime =12\ndistance=240\n2x=240/12\n2x=20\nx=10 km/hr ANSWER:A", "role": "assistant", "uuid": "ed3f3e6e-8a22-41b0-adc3-fc02d06816a0" } ]

[ { "content": "Group A has 3 boys and 2 girls, group B has 4 boys and 4 girls and group C has 3 boys and 3 girls. One student is selected from each of the group. Find the probability that one girl and two boys are among the three selected?\n\n['A)2/5', 'B)1/18', 'C)9/5', 'D)2/3', 'E)77/272']", "role": "user", "uuid": "d7bc1e88-3939-4b06-8580-cfea1c71b953" }, { "content": "Group A has 3 boys and 2 girls; 5\nGroup B has 4 boys and 4 girls; 8\nGroup C has 3 boys and 3 girls. 6\nSelected group should have one girl and two boys.\nGirl from A, boy from B, boy from C: 2/5*4/8*3/6 = 1/10;\nBoy from A, girl from B, boy from C: 3/5*4/8*3/6 = 3/20;\nBoy from A, boy from B, girl from C: 3/5*4/8*3/6 = 6/40.\nSum = 1/10 + 3/20 + 6/40 = 2/5.\nAnswer: A.", "role": "assistant", "uuid": "68c7eceb-7806-43c5-af97-758e3ce68251" } ]

[ { "content": "The average of first five prime numbers greater than 20 is?\n\n['A)32.2', 'B)32.98', 'C)32.3', 'D)32.8', 'E)32.4']", "role": "user", "uuid": "b755857c-dad4-4a2a-8978-e685aea09244" }, { "content": "23 + 29 + 31 + 37 + 41\n= 161/5\n= 32.2\nAnswer: A", "role": "assistant", "uuid": "5842a8c1-fb80-47c8-889e-aa93188239f4" } ]

[ { "content": "The number of number - pairs lying between 40 and 100 with their H.C.F. as 15 is :\n\n['A)3', 'B)4', 'C)5', 'D)6', 'E)7']", "role": "user", "uuid": "15e28185-c6e0-4c9b-91cb-917ff80d74d5" }, { "content": "Explanation:\nNumbers with H.C.F.15 must contain 15 as a factor.\nNow, multiples of 15 between 40 and 100 are 45, 60, 75 and 90.\n∴\nNumber pairs with H.C.F. 15 are (45, 60), (45, 75), (60, 75) and (75, 90).\n[\n∴\nH.C.F. of (60, 00) is 30 and that Of (45, 90) is 45]\nClearly, there are 4 such pairs.\nANSWER IS B", "role": "assistant", "uuid": "054561d5-5461-4d03-ad90-a9c633cd25b8" } ]

[ { "content": "The average marks in mathematics scored by the pupils of a school at the public examination were 39. If four of these pupils who actually scored 5, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of pupils sent up for examination from the school?\n\n['A)25', 'B)20', 'C)30', 'D)35', 'E)40']", "role": "user", "uuid": "223dd9b8-aa1c-4fcf-89fd-8531ccc24a3d" }, { "content": "39x = 5 + 12 + 15 + 19 + (x – 4)44\nx = 25\nANSWER A", "role": "assistant", "uuid": "335fee94-3b5d-4e38-9b89-b610c16b1e96" } ]

[ { "content": "If the average (arithmetic mean) of x, y, and 40 is 5 greater than the average of x, y, 40, and 60, find the average of x and y.\n\n['A)100', 'B)110', 'C)120', 'D)140', 'E)150']", "role": "user", "uuid": "27ed78b5-30e6-496b-97be-31d9808b6cc1" }, { "content": "consider the statement \"9 is 5 greater than 4\": 9 = 4 + 5\nsimilarly,\nthe average of x, y, and 40 = (the average of x, y, 40, and 60) + 5\n(x+y+40)/3 = (x+y+40+60)/4 + 5\n(x+y+40)/3 = (x+y+100)/4 + 5\nget a common denominator on the right side\n(x+y+40)/3 = (x+y+100)/4 + 20/4\n(x+y+40)/3 = (x+y+100+20)/4\n(x+y+40)/3 = (x+y+120)/4\ncross multiply\n4(x+y+40) = 3(x+y+120)\n4x+4x+160 = 3x+3y+360\ncollect like terms\n4x-3x+4y-3y = 360 - 160\nx + y = 200\nthus\n(x+y)/2 = 200/2\n(x+y)/2 = 100\nthe average of x and y is 100\nA", "role": "assistant", "uuid": "ad31999c-2718-44b8-9d5f-2df830511fd1" } ]