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_11643 | 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)1",
"B)2",
"C)3",
"D)4",
"E)65"
] | D |
aqua_train | aqua_train_10732 | Notebooks are sold in packages of four or seven only. If Wilson bought 69 notebooks exactly, what could be the number of large packs Wilson bought? | [
"A)3",
"B)4",
"C)7",
"D)8",
"E)9"
] | C |
aqua_train | aqua_train_63526 | On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is: | [
"A)47619",
"B)47719",
"C)48619",
"D)47649",
"E)47659"
] | A |
science_train | science_train_1530 | Question: Complete the statement.
Sulfur dioxide is ().
Hints: | [
"an elementary substance",
"a compound"
] | B |
aqua_train | aqua_train_53055 | A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 3:4. The ratio of economy cars to sport utility vehicles is 4:3. What is the ratio of luxury cars to sport utility vehicles? | [
"A)9:8",
"B)8:9",
"C)3:2",
"D)2:3",
"E)16:9"
] | E |
aqua_train | aqua_train_52689 | The average of runs of a cricket player of 10 innings was 42. How many runs must he make in his next innings so as to increase his average of runs by 4? | [
"A)87",
"B)86",
"C)28",
"D)76",
"E)80"
] | B |
aqua_train | aqua_train_57964 | If a mixture is 3⁄7 alcohol by volume and 4⁄7 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture? | [
"A)3⁄7",
"B)4⁄7",
"C)3⁄4",
"D)4⁄3",
"E)7⁄4"
] | C |
aqua_train | aqua_train_73704 | The third proportional to 1 and 3 is? | [
"A)9",
"B)10",
"C)11",
"D)12",
"E)13"
] | A |
aqua_train | aqua_train_31913 | The number of new words that can be formed by rearranging the letters of the word 'MACHINE' is ? | [
"A)5030",
"B)5039",
"C)5010",
"D)5033",
"E)3000"
] | B |
aqua_train | aqua_train_86472 | Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part? | [
"A)27",
"B)29",
"C)30",
"D)31",
"E)33"
] | D |
aqua_train | aqua_train_46661 | If the arithmetic mean of x,y and z is 6 times the arithmetic mean of w, x and y. What is the value of the expression (x+y)? | [
"A)(z-5w)/6",
"B)(z+6w)/5",
"C)(-z-5w)/6",
"D)(z-6w)/5",
"E)(z-6w)/6"
] | D |
ds_train | ds_train_2006 | Suppose you are working on a semi-automatic image recognition system where an initial prediction is made by an automated model and then checked by a human annotator. Which of the following statements accurately describes a potential advantage of a semi-automatic image recognition system over a fully autonomous one? | [
"A. Increased prediction speed due to less human intervention.\nB. Equal prediction accuracy with reduced human labor.\nC. Improved prediction accuracy through human-in-the-loop verification.\nD. Reduced need for complex algorithms."
] | C |
aqua_train | aqua_train_61964 | We bought orange juice and apple juice at the store. A bottle of orange juice costs 70 cents and a bottle of apple juice costs 60 cents. We bought a total of 70 bottles for $46.20. How many bottles of orange juice did we buy? | [
"A)32",
"B)36",
"C)38",
"D)42",
"E)48"
] | D |
aqua_train | aqua_train_94003 | 5*2 is a three digit number with * is a missing digit. If the number is divisible by 6, the missing digit is | [
"A)0",
"B)2",
"C)5",
"D)7",
"E)9"
] | B |
sciq | sciq_4 | Which law states that a pair of alleles is separated, or segregated, during the formation of gametes? | [
"de facto segregation",
"law of equals",
"separation anxiety",
"law of segregation"
] | D |
aqua_train | aqua_train_74168 | sale of Rs 6835, Rs. 9927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs, 6600 ? | [
"A)5591",
"B)2477",
"C)2877",
"D)2676",
"E)1881"
] | A |
science_train | science_train_2449 | Question: Using only these supplies, which question can Perry investigate with an experiment?
Hints: | [
"Does a big toy car go down the wooden ramp faster than a small toy car?",
"Do toy cars go faster down the ramp made of wood or the ramp made of cardboard?",
"Do toy cars with plastic wheels go faster down the cardboard ramp than toy cars with metal wheels?"
] | B |
aqua_train | aqua_train_55360 | A clothing store originally bought 100 jackets at a total cost of j dollars. If each jacket was sold for 30 percent more than its original cost, what was the individual price, in terms of j, of each jacket sold? | [
"A)j/77",
"B)7j/500",
"C)140j",
"D)j/100+40",
"E)140j/100"
] | A |
aqua_train | aqua_train_79218 | Which of the following is closest to (-7/8)^199？ | [
"A)-1",
"B)-1/2",
"C)0",
"D)1",
"E)2"
] | C |
aqua_train | aqua_train_42942 | The length of a rectangular plot is thrice its width. If the area of the rectangular plot is 675 sq meters, then what is the width (in meters) of the rectangular plot? | [
"A)12",
"B)15",
"C)18",
"D)21",
"E)24"
] | B |
aqua_train | aqua_train_50584 | A firm has 4 senior partners and 4 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different) | [
"A)40",
"B)44",
"C)48",
"D)52",
"E)56"
] | D |
sciq | sciq_4 | What can be looked at to see a record of how horses evolved? | [
"erosion records",
"carbon dating",
"pattern records",
"fossil records"
] | D |
aqua_train | aqua_train_79062 | In measuring the sides of a rectangle, one side is taken 16% in excess and other 5% in deficit. Find the error percentage in the area calculated from these measurements. | [
"A)3.5%",
"B)2.4%",
"C)10.2%",
"D)5%",
"E)2.6%"
] | C |
aqua_train | aqua_train_30549 | Two pipes A and B can fill a tank in 5 hrs and 20 hrs respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank? | [
"A)5 hr",
"B)4 hr",
"C)6 hr",
"D)3 hr",
"E)7 hr"
] | B |
aqua_train | aqua_train_55982 | A train sets off at 9:00 am at the speed of 70 km/h. Another train starts at 9:30 am in the same direction at the rate of 80 km/h. At what time will the second train catch the first train? | [
"A)12:30",
"B)1:00",
"C)1:30",
"D)2:00",
"E)2:30"
] | B |
aqua_train | aqua_train_63614 | The average weight of 20 boys sitting in a boat had some value. A new person added to them whose weight was 50 kg only. Due to his arrival, the average weight of all the boys decreased by 8 kg. Find the average weight of first 20 boys? | [
"A)150",
"B)154",
"C)218",
"D)182",
"E)192"
] | C |
aqua_train | aqua_train_94541 | A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent? | [
"A)33 1/8 %",
"B)33 7/3 %",
"C)33 1/3 %",
"D)38 1/3 %",
"E)33 3/3 %"
] | C |
aqua_train | aqua_train_55789 | The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers? | [
"A)4.5",
"B)4.6",
"C)4.7",
"D)4.8",
"E)4.9"
] | B |
aqua_train | aqua_train_21855 | How many days per calendar year is the month a factor of the day | [
"A)0",
"B)1",
"C)59",
"D)90",
"E)124"
] | E |
aqua_train | aqua_train_19972 | The area of a square field is 7201 sq m. How long will a lady take to cross the field diagonally at the rate of 1.2 km/hr? | [
"A)6 min",
"B)5 min",
"C)5.5 min",
"D)4 min",
"E)3 min"
] | A |
aqua_train | aqua_train_53326 | A family consists of six members P, Q, R, S, T and U. There are two married couples. Q is a doctor and the father of T. U is grandfather of R and is a contractor. S is grandmother of T and is a housewife. There is one doctor, one contractor, one nurse, one housewife and two students in the family. Which of the following is definitely a group of male members ? | [
"A)QU",
"B)UU",
"C)QI",
"D)QH",
"E)HS"
] | A |
aqua_train | aqua_train_57271 | Complete the series
13, 9, 5, 1, -3... | [
"A)-4",
"B)0",
"C)3",
"D)-7",
"E)3"
] | D |
aqua_train | aqua_train_61507 | Two identical machines have the ability to produce both nuts and bolts. However, it takes 1 second to produce a bolt but 2 seconds to produce a nut. What is the fastest the two machines, working together, can produce 500 nuts and 500 bolts? | [
"A)250 seconds",
"B)500 seconds",
"C)750 seconds",
"D)2,000 seconds",
"E)3,000 seconds"
] | C |
sciq | sciq_4 | In humans, what is the first organ to form and become functional? | [
"brain",
"liver",
"pancreas",
"heart"
] | D |
sciq | sciq_4 | Earthworms and ants possess what type of bodies, which means division into multiple parts? | [
"elongated",
"truncated",
"elliptical",
"segmented"
] | D |
aqua_train | aqua_train_55680 | Insert the missing number
5, -15, 45, -135, (....) | [
"A)350",
"B)-405",
"C)405",
"D)-350",
"E)0"
] | C |
aqua_train | aqua_train_12935 | The number 523rbc is divisible by 7,8,9. Then what is the value of r*b*c | [
"A)504",
"B)532",
"C)210",
"D)180",
"E)280"
] | D |
aqua_train | aqua_train_86503 | A and B invest in a business in the ratio 3: 2. Assume that 5% of the total profit goes to charity. If A's share is Rs. 855, what is the total profit? | [
"A)1400",
"B)1500",
"C)1600",
"D)1200",
"E)None of these"
] | B |
aqua_train | aqua_train_27435 | The duplicate ratio of 1:4 is? | [
"A)1:2",
"B)1:4",
"C)1:8",
"D)1:18",
"E)1:13"
] | C |
aqua_train | aqua_train_75915 | The first flight out of Phoenix airport had a late departure. If the next three flights departed on-time, how many subsequent flights need to depart from Phoenix on-time, for the airport's on-time departure rate to be higher than 80%?
I will see what is the quickest way to solve it then I will provide the explanation | [
"A)6",
"B)7",
"C)9",
"D)10",
"E)11"
] | A |
aqua_train | aqua_train_40000 | What is the leastvalue of x. So that 45x09 is divisible by 3? | [
"A)0",
"B)5",
"C)2",
"D)6",
"E)7"
] | A |
aqua_train | aqua_train_50718 | In a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is: | [
"A)86",
"B)88",
"C)92",
"D)94",
"E)96"
] | A |
aqua_train | aqua_train_28139 | What is the next number of the following sequence
2,2,12,12,30,30,_? | [
"A)54",
"B)55",
"C)56",
"D)57",
"E)58"
] | C |
aqua_train | aqua_train_83193 | The average (arithmetic mean) of the even integers from 0 to 40 inclusive is how much greater than the average (arithmetic mean) of the even integers from 0 to 20 inclusive? | [
"A)5",
"B)8",
"C)10",
"D)15",
"E)20"
] | C |
sciq | sciq_4 | The pain of angina means the heart muscle fibers need more what? | [
"water",
"carbon",
"nitrogen",
"oxygen"
] | D |
aqua_train | aqua_train_60401 | Rs 3200 is divided into two parts such that one part is put out at 3% and the other at 5%. If the annual interest earned from both the investments be Rs 144, find the first part. | [
"A)s 400",
"B)s 200",
"C)s 800",
"D)s 500",
"E)s 100"
] | C |
science_train | science_train_3299 | Question: Based on this information, what is this pea plant's genotype for the pea color gene?
Hints: | [
"ee",
"green peas"
] | A |
aqua_train | aqua_train_56576 | On a certain day, Tim invested $500 at 10 percent annual interest, compounded annually, and Lana invested 1,000 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investment in the first 2 years? | [
"A)$2.5",
"B)$15",
"C)$50",
"D)$100",
"E)$105"
] | A |
aqua_train | aqua_train_41748 | A 250 m long train is running at a speed of 55 Km/hr. It crossed a platform of length 300 m in ? | [
"A)41.1 sec",
"B)20.2 sec",
"C)36 sec",
"D)50.4 sec",
"E)none of the above"
] | C |
aqua_train | aqua_train_69423 | What least number must be added to 1049, so that the sum is completely divisible by 25 ? | [
"A)2",
"B)4",
"C)6",
"D)8",
"E)1"
] | E |
aqua_train | aqua_train_32857 | Find the least number of complete years in which a sum of money put out at 13% compound interest will be more than double of itself? | [
"A)5",
"B)6",
"C)7",
"D)8",
"E)9"
] | B |
aqua_train | aqua_train_71927 | At Peter's firm's annual revenue grows twice as fast as its costs. In 2007 it operated at a $1000 loss, it broke even in 2008, and in 2009 its revenues were 44% higher than in 2007. If the firm's revenues and costs grew at a constant rate over this period, what was its profit in 2009? | [
"A)700",
"B)1000",
"C)1300",
"D)1600",
"E)2000"
] | C |
aqua_train | aqua_train_51695 | Positive integer e is divisible by 3. What is the remainder of dividing (4+2e)-e(1+1) by 3? | [
"A)0",
"B)1",
"C)2",
"D)3",
"E)4"
] | B |
sciq | sciq_4 | What is idefined as the mass of a substance divided by its volume? | [
"weight",
"height",
"length",
"density"
] | D |
sciq | sciq_4 | What forces the fetus out of the uterus? | [
"biological clock",
"delayed childbirth",
"deep breathing",
"continuous strong contractions"
] | D |
sciq | sciq_4 | All chordates are deuterostomes possessing a what? | [
"zygote",
"hydrochord",
"endoderm",
"notochord"
] | D |
aqua_train | aqua_train_6154 | The positive integers p and q leave remainders of 2 and 3, respectively, when divided by 6. p > q. What is the remainder when p – q is divided by 6? | [
"A)5",
"B)4",
"C)3",
"D)2",
"E)1"
] | A |
aqua_train | aqua_train_21034 | Two trains are moving in opposite directions with speed of 210 km/hr and 90 km/hr respectively. Their lengths are 1.10 km and 0.9 km respectively. the slower train cross the faster train in --- seconds | [
"A)56",
"B)48",
"C)47",
"D)26",
"E)24"
] | E |
aqua_train | aqua_train_20626 | The probability that a number selected at random from the first 50 natural numbers is a composite number is? | [
"A)17/22",
"B)17/25",
"C)17/21",
"D)17/91",
"E)17/12"
] | B |
aqua_train | aqua_train_74848 | In how many ways can a cricket eleven be chosen out of a batch of 15 players? | [
"A)1365",
"B)1523",
"C)2165",
"D)1012",
"E)2135"
] | A |
aqua_train | aqua_train_54358 | If m/21 is an integer, then each of the following must be an integer EXCEPT | [
"A)5/2",
"B)4",
"C)3",
"D)2",
"E)1"
] | A |
aqua_train | aqua_train_546 | A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business? | [
"A)7500",
"B)7502",
"C)2883",
"D)2790",
"E)2711"
] | A |
sciq | sciq_4 | A reference point is used in measurement to make what? | [
"deviation",
"focal point",
"regression",
"estimation"
] | D |
aqua_train | aqua_train_3197 | if a@b = a * b^(1/2) then 4@9 = ?
self made | [
"A)12",
"B)6",
"C)3",
"D)8",
"E)4"
] | A |
sciq | sciq_4 | When the air temperature reaches the dew point, water vapor starts to do what? | [
"evaporate",
"germinate",
"dissipate",
"condense"
] | D |
aqua_train | aqua_train_91523 | A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of B in the profit. | [
"A)2610",
"B)2650",
"C)2630",
"D)2670",
"E)2660"
] | E |
sciq | sciq_4 | What do structures of the human eye collect and focus? | [
"sugars",
"air",
"electricity",
"light"
] | D |
aqua_train | aqua_train_12646 | 19/38 = 4/8 . which method did you use to determine whether this proportion is true or false? | [
"A)true",
"B)neutral",
"C)false",
"D)not sure",
"E)none"
] | A |
aqua_train | aqua_train_86960 | Tough and Tricky questions: Number Properties.
What is the smallest positive integer x such that 1512x is the cube of a positive integer? | [
"A)7",
"B)14",
"C)28",
"D)35",
"E)49"
] | E |
aqua_train | aqua_train_20168 | A cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it? | [
"A)27 hrs",
"B)29 hrs",
"C)28 hrs",
"D)90 hrs",
"E)98 hrs"
] | D |
science_train | science_train_609 | Question: Think about the magnetic force between the magnets in each pair. Which of the following statements is true?
Hints: | [
"The magnitude of the magnetic force is the same in both pairs.",
"The magnitude of the magnetic force is greater in Pair 1.",
"The magnitude of the magnetic force is greater in Pair 2."
] | B |
aqua_train | aqua_train_72112 | 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 t colors patterns can be floor be parqueted? | [
"A) 104",
"B) 213",
"C) 3^5",
"D) 705",
"E) 726"
] | E |
aqua_train | aqua_train_86644 | In a kilometer race, A beats B by 25 meters or 10 seconds. What time does A take to complete the race? | [
"A)167 sec",
"B)190 sec",
"C)390 sec",
"D)716 sec",
"E)123 sec"
] | C |
science_train | science_train_4365 | Question: Which property do these three objects have in common?
Hints: | [
"stretchy",
"rough",
"sour"
] | A |
aqua_train | aqua_train_65853 | In a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. If pqrs = 2145, and if 1< p < q < r < s, how many students in the class are marketing majors? | [
"A)3",
"B)5",
"C)8",
"D)11",
"E)17"
] | D |
aqua_train | aqua_train_17665 | Of the people who responded to a market survey, 240 preferred Brand X and the rest preferred Brand Y. If the respondents indicated a preference for Brand X over Brand Y by ratio of 6 to 1, how many people responded to the survey? | [
"A)80",
"B)160",
"C)280",
"D)360",
"E)480"
] | C |
aqua_train | aqua_train_6594 | Of the three-digit integers greater than 800, how many have two digits that are equal to each other and the remaining digit different from the other two? | [
"A) 90",
"B) 82",
"C) 43",
"D) 45",
"E) 36"
] | C |
aqua_train | aqua_train_94002 | If the integer N = 139k00 where k is the hundreds digit, N can always be divisible by which of the following? | [
"A)2",
"B)4",
"C)3",
"D)6",
"E)9"
] | B |
aqua_train | aqua_train_84806 | Complete the sequence:
E G K Q ? | [
"A)M",
"B)D",
"C)Y",
"D)F",
"E)Z"
] | C |
aqua_train | aqua_train_76332 | A man invested Rs. 5050 in 5% stock at 99 and sold it when the price rose to Rs. 101. He invested the sale proceeds in 8% stock at 88. Find the change in man's income if the Brokerage is Rs. 2. | [
"A)150",
"B)160",
"C)170",
"D)180",
"E)190"
] | E |
aqua_train | aqua_train_71035 | What is the probability of getting a sum 9 from two throws of dice. | [
"A)1/3",
"B)1/9",
"C)1/12",
"D)2/9",
"E)None of these"
] | B |
aqua_train | aqua_train_628 | Three of the sides of a rectangular prism have areas of 91, 39, and 21. What is the volume of the rectangular prism? | [
"A)252",
"B)269",
"C)273",
"D)920",
"E)1911"
] | C |
aqua_train | aqua_train_35001 | In a day hands of clock will be together | [
"A)12 times",
"B)24 times",
"C)20 times",
"D)22 times",
"E)25 times"
] | D |
aqua_train | aqua_train_86896 | Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 40% buy chicken, and 35% buy apples. If 10% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above? | [
"A) 5%",
"B) 10%",
"C) 25%",
"D) 15%",
"E) 30%"
] | D |
aqua_train | aqua_train_744 | What is the ratio between perimeters of two squares one having 3 times the diagonal then the other? | [
"A)3: 5",
"B)3: 9",
"C)3: 4",
"D)3: 1",
"E)3: 2"
] | D |
aqua_train | aqua_train_774 | A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 100 more than that by the previous schema, his sales were worth? | [
"A)s. 14,000",
"B)s. 12,000",
"C)s. 32,000",
"D)s. 40,000",
"E)s. 50,000"
] | C |
sciq | sciq_4 | What is the term for a very rapid motor response that is not directed by the brain? | [
"instinct",
"adaptation",
"sensor",
"reflex"
] | D |
science_train | science_train_5183 | Question: Which of the following organisms is the primary consumer in this food web?
Hints: | [
"black bear",
"parasol fungus",
"bolete fungus",
"silver maple"
] | A |
aqua_train | aqua_train_88344 | In how many ways can 22 books on English and 20 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together? | [
"A)4586",
"B)5896",
"C)2415",
"D)1771",
"E)1881"
] | D |
aqua_train | aqua_train_80918 | ind the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratio 1:2? | [
"A)18 kmph",
"B)19 kmph",
"C)24 kmph",
"D)17 kmph",
"E)16 kmph"
] | C |
sciq | sciq_4 | What is the scientific term for the act of eating or feeding? | [
"secretion",
"excretion",
"swallowing",
"ingestion"
] | D |
aqua_train | aqua_train_38666 | From 6 positive numbers and 7 negative numbers, how many groups of 4 numbers, yielding a positive product, can be formed? | [
"A)720",
"B)625",
"C)230",
"D)365",
"E)255"
] | D |
aqua_train | aqua_train_4488 | A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution? | [
"A)77.9 litres",
"B)72.9 litres",
"C)72.8 litres",
"D)62.9 litres",
"E)72.5 litres"
] | B |
aqua_train | aqua_train_67150 | In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race? | [
"A)277 sec",
"B)190 sec",
"C)667 sec",
"D)167 sec",
"E)176 sec"
] | B |
aqua_train | aqua_train_59139 | A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 4x km. | [
"A)16",
"B)18",
"C)32",
"D)19",
"E)12"
] | C |
ds_train | ds_train_1474 | The Kelvin equation describes the change in vapor pressure over a curved liquid surface compared to a flat one. Which of the following correctly represents the Kelvin equation for a liquid droplet in equilibrium with its vapor, considering surface tension and assuming the droplet is small? | [
"A. \\[ P = P_{\\infty} \\exp\\left(-\\frac{2\\gamma V_m}{rRT}\\right) \\]\nB. \\[ P = P_{\\infty} \\exp\\left(-\\frac{2\\gamma r}{V_mRT}\\right) \\]\nC. \\[ P = P_{\\infty} \\exp\\left(\\frac{2\\gamma V_m}{rRT}\\right) \\]\nD. \\[ P = P_{\\infty} \\exp\\left(\\frac{2\\gamma r}{V_mRT}\\right) \\]"
] | C |
aqua_train | aqua_train_27061 | Pascal has 96 miles remaining to complete his cycling trip. If he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50%. What is his current speed T? | [
"A) 6",
"B) 8",
"C) 10",
"D) 12",
"E) 16"
] | B |
aqua_train | aqua_train_27490 | If k is a non-negative integer and 15^k is a divisor of 823,435 then 5^k - k^5 = | [
"A)0",
"B)1",
"C)35",
"D)120",
"E)245"
] | B |
aqua_train | aqua_train_25047 | On the xy co-ordinate plane, point C is (3,-2) and point D is (-1,2.5). The point on line segment CD that is twice as far from C as from D is: | [
"A)(1,-1)",
"B)(1,1)",
"C)(2,0.25)",
"D)(3,0.5)",
"E)(3,1)"
] | D |
science_train | science_train_4440 | Question: What do these two changes have in common?
burning food on a stove
water boiling on a stove
Hints: | [
"Both are caused by heating.",
"Both are chemical changes.",
"Both are only physical changes.",
"Both are caused by cooling."
] | A |
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