dataset stringclasses 5 values | id stringlengths 6 18 | question stringlengths 3 1.92k | choices listlengths 1 36 | answer stringclasses 5 values |
|---|---|---|---|---|
aqua_train | aqua_train_63663 | Two cars A and B are running towards each other from different places 88 km apart. If the ratio of the speeds of the cars A and B is 5 : 6 and the speed of the car B is 90 km per hour then after how long will the two meet each other? | [
"A)2263 minutes",
"B)24 minutes",
"C)32 minutes",
"D)36 minutes",
"E)None of these"
] | C |
aqua_train | aqua_train_58753 | Find the fraction which has the same ratio to 2/6 that 3/4 has to 1/2 | [
"A)1/2",
"B)2/5",
"C)6/8",
"D)9/4",
"E)7/5"
] | A |
aqua_train | aqua_train_14453 | In a 1300 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy who runs at 4 m/s ? | [
"A)65 sec.",
"B)50 sec",
"C)25 sec",
"D)Data not sufficient",
"E)None of these"
] | A |
aqua_train | aqua_train_61934 | A and B are two partially filled buckets of water. If 3 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 3 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of water? | [
"A)36/5",
"B)13",
"C)17",
"D)21",
"E)23"
] | A |
aqua_train | aqua_train_8324 | Find the greatest number which on dividing 1255 and 1490, leaves a reminder of 8 and 11 respectively | [
"A)27",
"B)29",
"C)33",
"D)39",
"E)41"
] | B |
sciq | sciq_4 | What theory explains the physical behavior of gases? | [
"thermodynamic theory of gases",
"relativity theory of gases",
"quantum theory of gases",
"kinetic theory of gases"
] | D |
aqua_train | aqua_train_68264 | A peacock of flying speed 5 km/h is sitiing on a top of a wooden pole of height 10m. There is a hole in the pole downwards and a snake is approaching that hole which is 21m away from the snake.How much time it will take for the peacock to catch the snake before it enters the hole. | [
"A)14.73 seconds",
"B)16.73 seconds",
"C)15.73 seconds",
"D)17.73 seconds",
"E)18.73 seconds"
] | B |
aqua_train | aqua_train_58896 | 8597-?=7429-4358 | [
"A)5426",
"B)5706",
"C)5526",
"D)5476",
"E)None of them"
] | C |
aqua_train | aqua_train_83275 | A Cone, a hemisphere and a cylinder stand on equal bases and have the same height .Find ratio of their volumes. | [
"A)2:1:3",
"B)2:1:4",
"C)1:2:3",
"D)4:1:7",
"E)5:1:8"
] | C |
science_train | science_train_2634 | Question: What information supports the conclusion that Josie inherited this trait?
Hints: | [
"Josie and her mother both have short hair.",
"Josie's parents were born with wavy hair. They passed down this trait to Josie."
] | B |
sciq | sciq_4 | If everything else stays the same in a system with a gas in it, and the gas gets warmer, what will happen to its pressure, generally? | [
"it drops",
"it stays the same",
"it's eliminated",
"it increases"
] | D |
aqua_train | aqua_train_52454 | What is the 101st digit after the decimal point in the decimal representation of 1/3 + 1/9 + 1/27 + 1/37? | [
"A)0",
"B)1",
"C)5",
"D)7",
"E)8"
] | A |
aqua_train | aqua_train_43330 | Commodious means ‘spacious’, large, voluminous and extensive. | [
"A)22",
"B)28",
"C)277",
"D)199",
"E)11"
] | A |
aqua_train | aqua_train_62731 | A train 500 m long can cross an electric pole in 20 sec and then find the speed of the train? | [
"A)87 Kmph",
"B)97 Kmph",
"C)72 Kmph",
"D)90 Kmph",
"E)19 Kmph"
] | D |
aqua_train | aqua_train_72308 | The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is: | [
"A)1677",
"B)1683",
"C)2523",
"D)3363",
"E)3478"
] | B |
aqua_train | aqua_train_77549 | A jar is filled with red, white, and blue tokens that are equivalent except for their color. The chance of randomly selecting a red token, replacing it, then randomly selecting a white token is the same as the chance of randomly selecting a blue token. If the number of tokens of every color is a multiple of 5, what is the smallest possible total number of tokens in the jar? | [
"A) 9",
"B) 12",
"C) 15",
"D) 18",
"E) 21"
] | B |
aqua_train | aqua_train_76711 | The greatest number that divides 2928 and 3240 leaving remainders 5 and 1 respectively is: | [
"A)74",
"B)78",
"C)79",
"D)81",
"E)85"
] | C |
sciq | sciq_4 | Motor vehicles account for almost half of the consumption of what? | [
"hydrocarbon",
"greenhouse gases",
"electricity",
"fossil fuel"
] | D |
aqua_train | aqua_train_39755 | Rita told Mani, "The girl I met yesterday at the beach was the youngest daughter of the brother-in-law of my friend's mother." How is the girl related to Rita's friend ? | [
"A)Cousin",
"B)Daughter",
"C)Niece",
"D)Friend",
"E)SISTER"
] | A |
aqua_train | aqua_train_39535 | Raj invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years? | [
"A)9",
"B)8",
"C)7",
"D)5",
"E)3"
] | D |
aqua_train | aqua_train_1297 | On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.3, what is the probability that Malachi will return home at the end of the day on the following Monday? | [
"A)0.008",
"B)0.147",
"C)0.488",
"D)0.512",
"E)0.64"
] | B |
aqua_train | aqua_train_18426 | A 21% stock yielding 10% is quoted at : | [
"A)83.33",
"B)210",
"C)112",
"D)120",
"E)160"
] | B |
aqua_train | aqua_train_9910 | If the two-digit integers A and B are positive and have the same digits, but in reverse order, which of the following could be the sum of A and B ? | [
"A)108",
"B)120",
"C)132",
"D)144",
"E)156"
] | C |
aqua_train | aqua_train_76798 | A cistern normally takes 6 hours to be filled by a tap but because of a leak, 2 hours more. In how many hours will the leak empty a full cistern ? | [
"A)20 hours",
"B)24 hours",
"C)26 hours",
"D)18 hours",
"E)None of these"
] | B |
sciq | sciq_4 | Why is there very little evaporation in the boreal forests? | [
"too hot",
"too humid",
"high elevation",
"temperature is too cold"
] | D |
aqua_train | aqua_train_74668 | A straight line in the xy- plane has y-intercept of 20 . On this line the x-coordinate of the point is 150 and y-coordinate is 600 then what is the slope of the line? | [
"A)3.9",
"B)4.6",
"C)5.2",
"D)6",
"E)8.1"
] | A |
sciq | sciq_4 | What important aspect of the scientific method is a suggested explanation for an event, which can be tested? | [
"scientific control",
"string theory",
"independent variable",
"hypothesis"
] | D |
sciq | sciq_4 | Unlike bryophyte and fern spores (which are haploid cells dependent on moisture for rapid development of gametophytes), seeds contain a diploid embryo that will germinate into what? | [
"sperm",
"gametophyte",
"ovary",
"sporophyte"
] | D |
sciq | sciq_4 | The reaction of which body system causes food allergies? | [
"cardiac system",
"lymphatic system",
"nervous system",
"immune system"
] | D |
aqua_train | aqua_train_17547 | Find the smallest number which when divided by 11 and 13 leaves respective remainders of 4 and 6. | [
"A)187",
"B)197",
"C)207",
"D)136",
"E)227"
] | D |
aqua_train | aqua_train_86468 | How many repeat sequence of three consecutive numbers are there in the given sequence?
6 9 6 2 4 2 9 6 2 9 2 6 9 4 9 6 2 6 9 2 4 | [
"A)3",
"B)2",
"C)1",
"D)4",
"E)5"
] | A |
science_train | science_train_4198 | Question: Which body part works with muscles to move the body?
Hints: | [
"lungs",
"stomach",
"skeleton"
] | C |
aqua_train | aqua_train_33605 | Find the 15th term of an arithmetic progression whose first term is 2 and the common difference is 3. | [
"A)45",
"B)38",
"C)44",
"D)40",
"E)46"
] | C |
aqua_train | aqua_train_54124 | Camel and carriage for Rs. 5000. He SP the camel at a gain of 20% and the carriage at a loss of 10%. If he gains 3% on the whole, then find the CP of the camel? | [
"A)Rs.2166.67",
"B)Rs.2187.67",
"C)Rs.2188",
"D)Rs.2200",
"E)Rs.2234.7"
] | A |
aqua_train | aqua_train_23612 | If A and B are in the ratio 3:4, and B and C in the ratio 12:13, then A and C will be in the ratio | [
"A)3:13",
"B)9:13",
"C)36:13",
"D)13:9",
"E)none"
] | B |
aqua_train | aqua_train_49355 | A shopkeeper sold an book offering a discount of 5% and earned a profit of 14%. What would have been the percentage of profit earned if no discount was offered? | [
"A)140",
"B)120",
"C)130",
"D)110",
"E)150"
] | B |
aqua_train | aqua_train_11812 | In how many ways Chief Minister and Minister be elected from a team of 12 members? | [
"A)124",
"B)131",
"C)132",
"D)145",
"E)165"
] | C |
sciq | sciq_4 | How often does condensation occur in your cells? | [
"weekly",
"daily",
"never",
"constantly"
] | D |
aqua_train | aqua_train_96672 | When positive integer X is divided by positive integer Y, the remainder is 5.76. If X/Y = 96.12, what is the value of Y? | [
"A)96",
"B)75",
"C)48",
"D)25",
"E)12"
] | C |
aqua_train | aqua_train_20824 | A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes? | [
"A)6%",
"B)7%",
"C)8%",
"D)4%",
"E)1%"
] | D |
aqua_train | aqua_train_16848 | A is half good a work man as B and together they finish a job in 26 days. In how many days working alone B finish the job? | [
"A)98 days",
"B)21 days",
"C)17 days",
"D)39 days",
"E)19 days"
] | D |
aqua_train | aqua_train_72484 | The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one DOOR of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each? | [
"A)4687",
"B)3899",
"C)7815",
"D)4530",
"E)3573"
] | D |
aqua_train | aqua_train_60579 | Jennifer had $90 to spend on herself. She spent 1/5 of the money on a sandwich, 1/6 for a ticket to a museum, and 1/2 of it on a book. How much money does Jennifer have left over? | [
"A)$12",
"B)$14",
"C)$5",
"D)$15",
"E)$0"
] | A |
aqua_train | aqua_train_77722 | If x = 3y, where y is a prime number greater than 2, how many different positive even divisors does x have, including x? | [
"A)0",
"B)1",
"C)2",
"D)3",
"E)It cannot be determined from the information given"
] | A |
aqua_train | aqua_train_12284 | The sum of the mean, the median, and the range of the set {5,6,7} equals which one of the following values? | [
"A)18",
"B)14",
"C)16",
"D)12",
"E)10"
] | A |
aqua_train | aqua_train_67625 | When n is divided by 12, the remainder is 2. What is the remainder when 4n is divided by 5? | [
"A)1",
"B)2",
"C)3",
"D)4",
"E)5"
] | C |
aqua_train | aqua_train_66412 | The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A? | [
"A)12",
"B)76",
"C)97",
"D)16",
"E)19"
] | A |
aqua_train | aqua_train_16283 | Find the average of all prime numbers between 1 and 10 | [
"A)2.5",
"B)1.35",
"C)4.25",
"D)6.12",
"E)7.13"
] | C |
science_train | science_train_545 | Question: Which is the most flexible?
Hints: | [
"paper",
"ceramic tea cup",
"clay tile"
] | A |
aqua_train | aqua_train_40166 | If 100 microns = 1 decimeter, and 1,000angstroms = 1 decimeter, how many angstroms equal 1 micron? | [
"A)1.0e-05",
"B)0.0001",
"C)10",
"D)10,000",
"E)100,000"
] | C |
aqua_train | aqua_train_12730 | Two trains 200m and 300m long run at the speed of 70kmph and 50kmph in opposite directions in parallel tracks. The time which they take to cross each other is? | [
"A)10sec",
"B)15sec",
"C)18sec",
"D)20sec",
"E)22sec"
] | B |
aqua_train | aqua_train_64178 | A man can row upstream at 7 kmph and downstream at 10kmph.find man’s rate in still water and the rate of current. | [
"A)1.5 km/hr",
"B)2.5 km/hr",
"C)3.5 km/hr",
"D)4.5 km/hr",
"E)5.5 km/hr"
] | A |
aqua_train | aqua_train_28771 | If x ≠ 0 and (y-x)/x=(y+x)/y, which of the following expressions is equal to its opposite? | [
"A)(x+y) (x-y)",
"B)x^2 – y^2",
"C)y^2",
"D)(y + x)^2",
"E)(x – y)^2"
] | A |
science_train | science_train_2296 | Question: Which better describes the Tibetan Plateau ecosystem?
Hints: | [
"It has mostly small plants. It also has soil that is frozen year-round.",
"It has long",
"cold winters. It also has many evergreen trees."
] | A |
aqua_train | aqua_train_28295 | There are 50 employees in the office of ABC Company. Of these, 22 have taken an accounting course, 15 have taken a course in finance and 14 have taken a marketing course. Nine of the employees have taken exactly two of the courses and 2 employee has taken all three of the courses. How many of the 50 employees have taken none of the courses? | [
"A)12",
"B)8",
"C)5",
"D)4",
"E)9"
] | A |
aqua_train | aqua_train_45581 | By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent? | [
"A)42 6/8%",
"B)42 8/7%",
"C)72 6/7%",
"D)42 6/7%",
"E)42 6/1%"
] | D |
aqua_train | aqua_train_52775 | In a flower shop there were 7 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 | [
"A)12",
"B)11",
"C)14",
"D)9",
"E)None of these"
] | C |
aqua_train | aqua_train_72769 | A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ? | [
"A)9",
"46",
"B)9",
"50",
"C)10",
"46",
"D)10",
"50",
"E)10",
"56"
] | B |
aqua_train | aqua_train_86296 | Suresh started a business, investing Rs.18000. After 3 months and 4 months respectively, Rohan and Sudhir joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.3982. What is the difference between Rohan’s and Sudhir’s share in the profit? | [
"A)Rs.362",
"B)Rs.383",
"C)Rs.398",
"D)Rs.399",
"E)Rs.400"
] | A |
aqua_train | aqua_train_85415 | Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is: | [
"A)5000",
"B)4500",
"C)5400",
"D)5600",
"E)6000"
] | A |
aqua_train | aqua_train_9333 | The difference between the length and breadth of a rectangle is 24 m. If its perimeter is 210 m, then its area is: | [
"A)1520 m2",
"B)2420 m2",
"C)2480 m2",
"D)2520 m2",
"E)2600 m2"
] | E |
aqua_train | aqua_train_16680 | In a group of 100 cars, 37 cars do not have air conditioning. If at least 51 cars have racing stripes, what is the greatest number of cars that could have air conditioning but not racing stripes? | [
"A)45",
"B)47",
"C)48",
"D)49",
"E)53"
] | D |
aqua_train | aqua_train_92556 | How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? | [
"A)22",
"B)30",
"C)88",
"D)26",
"E)12"
] | B |
sciq | sciq_4 | What type of environment is maintained in homeostasis? | [
"fluid internal",
"noisy internal",
"stable external",
"constant internal"
] | D |
aqua_train | aqua_train_6275 | Helen went to the stationers and bought things worth Euro 45, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? | [
"A)Euro 15",
"B)Euro 15.7",
"C)Euro 19.7",
"D)Euro 39.7",
"E)None"
] | D |
aqua_train | aqua_train_40287 | If a fair coin is tossed five times, what is the probability of getting exactly three heads in a row? | [
"A)3/16",
"B)5/16",
"C)3/32",
"D)5/32",
"E)7/32"
] | D |
aqua_train | aqua_train_8009 | Sum of two numbers is 50. Two times of the difference of first and seceond is 20. Then the numbers will be? | [
"A)10",
"40",
"B)20",
"30",
"C)35",
"15",
"D)30",
"20",
"E)15",
"35"
] | D |
aqua_train | aqua_train_11478 | In a sports club with 80 members, 48 play badminton and 46 play tennis and 7 do not play either. How many members play both badminton and tennis? | [
"A)23",
"B)21",
"C)20",
"D)26",
"E)27"
] | B |
aqua_train | aqua_train_55383 | Sum of 3 consecutive even no.'s is 24 more than the 1st no. of the series. Find the middle no.? | [
"A)11",
"B)12",
"C)14",
"D)16",
"E)18"
] | A |
aqua_train | aqua_train_90233 | The rate of increase of the price of sugar is observed to be two percent more than the inflation rate expressed in percentage. The price of sugar, on January 1, 1994, is Rs. 40 per kg. The inflation rate for the years 1994 and 1995 are expected to be 18% each. The expected price of sugar on January 1, 1996 would be | [
"A)57.6",
"B)58.4",
"C)54.4",
"D)24.6",
"E)None of these"
] | A |
science_train | science_train_4711 | Question: Will these magnets attract or repel each other?
Hints: | [
"attract",
"repel"
] | B |
aqua_train | aqua_train_67868 | Ram's age and Shyam's age are in the ratio 3 : 4. Seven years ago the ratio of their ages was 2: 3. Find the ratio of their ages five years hence? | [
"A)33:21",
"B)44:44",
"C)33:45",
"D)26:33",
"E)44:66"
] | D |
aqua_train | aqua_train_23346 | A man visits a shopping mall almost every day and he walks up an up-going escalator that connects the ground and the first floor. If he walks up the escalator step by step it takes him 16 steps to reach the first floor. One day he doubles his stride length (walks up climbing two steps at a time) and it takes him 12 steps to reach the first floor. | [
"A)15",
"B)16",
"C)47",
"D)48",
"E)49"
] | D |
aqua_train | aqua_train_45796 | A man whose speed is 7.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey? | [
"A)8.2kmph",
"B)9.0kmph",
"C)7.0kmph",
"D)6.5kmph",
"E)7.2kmph"
] | E |
aqua_train | aqua_train_57229 | A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 500 m long? | [
"A)176 Sec",
"B)190 Sec",
"C)170 Sec",
"D)267 Sec",
"E)276 Sec"
] | C |
aqua_train | aqua_train_96346 | What annual payment will discharge a debt of Rs. 1125 due in 2 years at the rate of 5% compound interest? | [
"A)993.2",
"B)551.25",
"C)534.33",
"D)605.03",
"E)646.33"
] | D |
aqua_train | aqua_train_60249 | Sandy bought 65 books for $1480 from one shop and 55 books for $920 from another shop. What is the average price that Sandy paid per book? | [
"A)$38",
"B)$18",
"C)$99",
"D)$27",
"E)$20"
] | E |
aqua_train | aqua_train_51189 | What will $1000 amount to in three years if it is invested at 20% per year compound interest, with the interest being compounded annually? | [
"A)$1596",
"B)$1624",
"C)$1728",
"D)$1832",
"E)$1958"
] | C |
aqua_train | aqua_train_58049 | A round table conference to be held between 43 delegates of 43 countries. In how many ways can they seated if two particular delegates are always to sit together? | [
"A)27!*3!",
"B)32!*7!",
"C)45!*1!",
"D)39!*5!",
"E)41!*2!"
] | E |
sciq | sciq_4 | Bone marrow, the thymus gland, the spleen, and the tonsils are organs in what body system? | [
"skeletal system",
"nervous system",
"reproductive system",
"immune system"
] | D |
sciq | sciq_4 | Intermediate filaments tend to give the structural stability to what? | [
"nerves",
"proteins",
"muscles",
"cells"
] | D |
aqua_train | aqua_train_75564 | If (4,000)(5,000) = (20)(1,000^x), what is the value of x? | [
"A)5",
"B)4",
"C)3",
"D)2",
"E)1"
] | D |
science_train | science_train_6037 | Question: What do these two changes have in common?
carving a piece of wood
butter melting on a hot day
Hints: | [
"Both are chemical changes.",
"Both are only physical changes.",
"Both are caused by heating.",
"Both are caused by cooling."
] | B |
sciq | sciq_4 | What is the term used for a large body of air of the same temperature and moisture conditions? | [
"air group",
"sky mass",
"air pool",
"air mass"
] | D |
aqua_train | aqua_train_29331 | How many prime numbers between 0 to 50? | [
"A) 11",
"B) 13",
"C) 14",
"D) 15",
"E) 16"
] | D |
aqua_train | aqua_train_52624 | A does half as much work as B in three-fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do it | [
"A)40days",
"B)35days",
"C)30days",
"D)25days",
"E)10days"
] | C |
aqua_train | aqua_train_93028 | 40% of a number is added to 60, the result is the same number. Find the number? | [
"A)300",
"B)288",
"C)270",
"D)100",
"E)281"
] | D |
aqua_train | aqua_train_11669 | In how many ways can a person post 5 letters in 4 letter boxes ? | [
"A)480",
"B)1024",
"C)54",
"D)4^5",
"E)5^5"
] | D |
aqua_train | aqua_train_86578 | There are 200 cats in Cat-City. Out of the 200, 70 are street cats and the rest are domestic cats. 110 cats are gray, 35 out of the gray cats are NOT domestic ones. How many domestic cats are there which are not gray in Cat-City? | [
"A)90.",
"B)55.",
"C)50.",
"D)40.",
"E)25."
] | B |
science_train | science_train_1750 | Question: Which is the softest?
Hints: | [
"metal trombone",
"cotton shirt",
"bone"
] | B |
aqua_train | aqua_train_11457 | If it is 6:12 in the evening on a certain day, what time in the morning was it exactly 1,440,711 minutes earlier? (Assume standard time in one location.) | [
"A)6:12",
"B)6:15",
"C)6:18",
"D)6:21",
"E)6:24"
] | D |
aqua_train | aqua_train_27547 | Right triangle RST can be constructed in the xy-plane such that RS is perpendicular to the y-axis and the right angle is at R. The x and y-coordinates of R, S, and T are to be nonzero integers that satisfy the inequalities −3 ≤ x ≤ 4 and −7 ≤ y ≤ 3. Given these restrictions , how many different triangles can be constructed? | [
"A)3780",
"B)4200",
"C)4900",
"D)6160",
"E)7744"
] | A |
ds_train | ds_train_1418 | In dynamic force spectroscopy (DFS), what is the primary reason for applying a continuously increasing force to a molecular bond instead of a constant force? | [
"A. To measure the equilibrium binding constant more accurately.\nB. To induce slip-stick behavior in the molecule.\nC. To obtain the force required to break the bond at different loading rates.\nD. To ensure the bond does not re-form after breaking."
] | C |
sciq | sciq_4 | What are compounds with the same number of carbon and hydrogen atoms called? | [
"alcohols",
"hydrocarbons",
"monomers",
"isomers"
] | D |
ds_train | ds_train_121 | Consider the Radon-Nikodym derivative \(\frac{d\
u}{d\mu}\) in the context of geometric measure theory, where \(\
u\) and \(\mu\) are Radon measures on \(\mathbb{R}^n\). Which of the following statements is true about the Radon-Nikodym derivative? | [
"A. It exists for any pair of measures \\(\\\nu\\) and \\(\\mu\\).\nB. It exists if and only if \\(\\\nu\\) is absolutely continuous with respect to \\(\\mu\\).\nC. It is always a constant function.\nD. It is defined as the total variation of the measure \\(\\\nu\\)."
] | B |
aqua_train | aqua_train_49843 | Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train? | [
"A)27 7/7 m",
"B)27 9/7 m",
"C)27 6/9 m",
"D)27 7/9 m",
"E)27 7/1 m"
] | D |
aqua_train | aqua_train_89846 | The letters of the word 'SARITI' are written in all possible orders and these words are written in alphabetical order. Then what is the rank of the word 'SURITI' | [
"A)- 235",
"B)- 245",
"C)- 307",
"D)- 315",
"E)- 275"
] | A |
aqua_train | aqua_train_61208 | If q and y are positive integer and q/y is an even integer, which of the following can be an odd integer? | [
"A)x",
"B)xy",
"C)x−y",
"D)x+2y",
"E)q/3"
] | E |
aqua_train | aqua_train_83852 | What is the probability that the sum of two dice will yield a 6, and then when both are thrown again, their sum will again yield a 6? assume that each die has 5 sides with faces numbered 1 to 5. | [
"A)1/144",
"B)1/25",
"C)1/12",
"D)1/6",
"E)1/3"
] | B |
aqua_train | aqua_train_9050 | The ratio of a compound, by weight, consisting only of substances x, y, and z is 4:6:10,
respectively. Due to a dramatic increase in the surrounding temperature, the composition of the
compound is changed such that the ratio of x to y is halved and the ratio of x to z is tripled. In the
changed compound, if the total weight is 174 lbs, how much does substance x weigh? | [
"A)48",
"B)36",
"C)24",
"D)12",
"E)10"
] | B |
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