dataset stringclasses 5 values | id stringlengths 6 18 | question stringlengths 3 1.92k | choices listlengths 1 36 | answer stringclasses 5 values |
|---|---|---|---|---|
sciq | sciq_4 | In contrast to mammals and birds, freshwater fishes produce large volumes of very dilute what? | [
"nitrogen",
"feces",
"blood",
"urine"
] | D |
aqua_train | aqua_train_92156 | A regular octagon is inscribed in a circle. If A and B are adjacent vertices of the pentagon and O is the center of the circle, what is the value of ∠OAB ? | [
"A)48 degrees",
"B)54 degrees",
"C)67.5 degrees",
"D)84 degrees",
"E)108 degrees"
] | C |
aqua_train | aqua_train_95680 | which of the following inequalities indicates the set of all values of d for which the lengths R of the three sides of a triangle can be 3,4, and d? | [
"A)0<d<1",
"B)0<d<5",
"C)0<d<7",
"D)1<d<5",
"E)1<d<7"
] | E |
mcq_train | mcq_train_192 | Question: The Time-Memory Tradeoff Attack ...
Options: is useful for finding a preimage within complexity $O\big(\big({\frac{2}{3}}\big)^N\big).$, is useful for finding a preimage within complexity $O(N^{\frac{2}{3}}).$, is a dedicated method which works only on SHA1., can be combined with birthday paradox to find the order of the group in RSA efficiently. | [
"is useful for finding a preimage within complexity $O\\big(\\big({\\frac{2}{3}}\\big)^N\\big).$",
"is useful for finding a preimage within complexity $O(N^{\\frac{2}{3}}).$",
"is a dedicated method which works only on SHA1.",
"can be combined with birthday paradox to find the order of the group in RSA effici... | B |
aqua_train | aqua_train_71312 | A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%? | [
"A)600",
"B)277",
"C)269",
"D)261",
"E)281"
] | A |
aqua_train | aqua_train_32818 | Brent went on a hike to Leeland Lake. On his way up the trail he travelled at 2 Km/h. On his way down the trail he travelled at twice the speed and therefore his way back took three hours less. What is the distance (in Km) of the trail? | [
"A)6 Km.",
"B)8 Km.",
"C)450.",
"D)500.",
"E)600."
] | B |
aqua_train | aqua_train_29677 | Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 4 to 6. If one of the four staff members worked on the project for 24 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project? | [
"A)60",
"B)90",
"C)120",
"D)192",
"E)180"
] | D |
ds_train | ds_train_2026 | Given a training dataset with \(N\) data points and \(D\) features, how does the complexity of the k-Nearest Neighbors (k-NN) algorithm scale with respect to predicting the class label for a new test instance during the query phase? | [
"A. O(1)\nB. O(D)\nC. O(N)\nD. O(ND)"
] | D |
aqua_train | aqua_train_65713 | Three distinct single digit no A,B and c are in G.M ,if abs(x) for real x is the absolute value of x(x , if x is positive or zero,and -x if x is negative), then the number of different possible values of abs (A+B -C) is; | [
"A)3",
"B)6",
"C)5",
"D)4",
"E)1"
] | B |
ds_train | ds_train_1948 | In the context of Sikhism, \"Akal\" is a fundamental concept. What does \"Akal\" primarily refer to? | [
"A. Temporal power \nB. Material wealth \nC. Timelessness or eternity \nD. Earthly life"
] | C |
aqua_train | aqua_train_38676 | Two musicians, Maria and Perry, work at independent constant rates to tune a warehouse full of instruments. If both musicians start at the same time and work at their normal rates, they will complete the job in 60 minutes. However, if Perry were to work at twice Maria’s rate, they would take only 30 minutes. How long would it take Perry, working alone at his normal rate, to tune the warehouse full of instruments? | [
"A)1 hr 20 min",
"B)1 hr 45 min",
"C)2 hr",
"D)2 hr 20 min",
"E)3 hr"
] | E |
aqua_train | aqua_train_63127 | A sum fetched a total simple interest of 4016.25 at the rate of 9 %.p.a. in 5 years. What is the sum? | [
"A)4462.5",
"B)8032.5",
"C)8925",
"D)None of these",
"E)Cannot be determined"
] | C |
aqua_train | aqua_train_33932 | In a class, the average age of 40 boys is 18 years and the average of 30 girls is 15 years. what is the average age of the whole class? | [
"A)12 Years",
"B)12.3 Years",
"C)12.6 Years",
"D)16.7 Years",
"E)15 Years"
] | D |
sciq | sciq_4 | What part of an animal helps to prevent water loss and gives support and protection? | [
"membrane",
"cuticle",
"backbone",
"exoskeleton"
] | D |
aqua_train | aqua_train_53713 | You and your friend spent a total of $15 for lunch. Your friend spent $1 more than you. How much did your friend spend on their lunch? | [
"A)$9",
"B)$8",
"C)$4",
"D)$6",
"E)$5"
] | B |
aqua_train | aqua_train_77659 | Find the fourth proportion to 12,3,6 | [
"A)1.8",
"B)1.2",
"C)2.5",
"D)1.5",
"E)4"
] | D |
aqua_train | aqua_train_30164 | What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years? | [
"A)5",
"B)6",
"C)7",
"D)1",
"E)2"
] | A |
aqua_train | aqua_train_8246 | The sum of 1 hours 45 minutes and 2 hours 55 minutes is approximately what percent of a day? | [
"A)5%",
"B)10%",
"C)15%",
"D)20%",
"E)25%"
] | D |
aqua_train | aqua_train_37258 | Suppose you have access to a large vat of distilled water, several gallons large. You have two precise measuring pipettes, one to measure exactly 1/6 of an ounce and one to measure exactly 1/7 of an ounce. You can pour precisely measured amounts into a beaker, which initially is empty. You can use either pipette to remove distilled water from the vat or from the beaker and use either pipette to dispense water into either of those receptacles, but you cannot use either pipette to take any quantity of distilled water other than the amount for which it is designed. Which of the following represents, in ounces, a precise amount of distilled water you can transfer from the vat to the beaker?
I. 1/6
II. 1/7
III. 1/12 | [
"A)I only",
"B)III only",
"C)I and III only",
"D)1/42 and 13/42",
"E)I",
"II",
"and III"
] | D |
aqua_train | aqua_train_63244 | 20 is subtracted from 60% of a number, the result is 88. Find the number? | [
"A)120",
"B)300",
"C)180",
"D)170",
"E)148"
] | C |
aqua_train | aqua_train_96415 | The average age of a husband and his wife was 26 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is : | [
"A)11",
"B)18",
"C)21",
"D)287",
"E)27"
] | C |
aqua_train | aqua_train_17598 | Two trains 137 meters and 163 meters in length are running towards each other on parallel lines, one at the rate of 42 kmph and another at 48 kmpb. In what time will they be clear of each other from the moment they meet | [
"A)8 sec",
"B)10 sec",
"C)12 sec",
"D)14 sec",
"E)16 sec"
] | C |
aqua_train | aqua_train_96178 | The length of the room is 5m and width is 5m. Find the cost of paving the floor by slabs at the rate of Rs.200 per sq meter? | [
"A)2000",
"B)3000",
"C)4000",
"D)3500",
"E)5000"
] | E |
aqua_train | aqua_train_23975 | There are three vessels of equal capacity .Vessel A contains Milk and water in the ratio 12:10 ;Vessel B contains Milk and water in the ratio 2:1 and Vessel C contains Milk and water in the ratio 3:2 .If the mixture in all the three vessels is mixed up.What will be the ratio of milk and water ? | [
"A)921:630",
"B)598:392",
"C)118:126",
"D)193:122",
"E)201:132"
] | B |
aqua_train | aqua_train_35968 | Simplify: 32 ÷ 8 × 24 + 16 = | [
"A)130",
"B)124",
"C)120",
"D)115",
"E)112"
] | E |
aqua_train | aqua_train_53784 | In a company with 48 employees, some part-time and some full-time, exactly (1/3) of the part-time employees and (1/4) of the full-time employees take the subway to work. What is the greatest possible number Y of employees who take the subway to work? | [
"A)12",
"B)13",
"C)14",
"D)15",
"E)16"
] | D |
aqua_train | aqua_train_24354 | The tax on a commodity is diminished by 20% and its consumption increased by 15%. The effect on revenue is? | [
"A)6%",
"B)8%",
"C)9%",
"D)2%",
"E)1%"
] | B |
science_train | science_train_6251 | Question: Is the following statement about our solar system true or false?
The volume of Mars is more than three times as large as Mercury's.
Hints: | [
"true",
"false"
] | B |
aqua_train | aqua_train_46349 | An investment compounds annually at an interest rate of 30% What is the smallest investment period by which time the investment will more than double in value? | [
"A)3",
"B)4",
"C)5",
"D)6",
"E)7"
] | A |
aqua_train | aqua_train_56692 | Two trains of length 160 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet? | [
"A)28",
"B)266",
"C)990",
"D)20",
"E)22"
] | E |
aqua_train | aqua_train_40798 | A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is? | [
"A)Rs.3240",
"B)Rs.3600",
"C)Rs.3800",
"D)Rs.4200",
"E)Rs.4250"
] | D |
aqua_train | aqua_train_54 | A train 500 m long can cross an electric pole in 20 sec and then find the speed of the train? | [
"A)95 Kmph",
"B)90 Kmph",
"C)92 Kmph",
"D)95 Kmph",
"E)98 Kmph"
] | B |
aqua_train | aqua_train_85578 | The equation of line f is y = 4/3*x - 100. What is the smallest possible distance in the xy-plane from the point with coordinates (0, 0) to any point on line f? | [
"A)48",
"B)50",
"C)60",
"D)75",
"E)100"
] | C |
science_train | science_train_5044 | Question: Which animal's legs are also adapted for wading?
Hints: | [
"painted stork",
"African penguin"
] | A |
aqua_train | aqua_train_48605 | The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle. | [
"A)w=25/L=36",
"B)w=15/L=20",
"C)w=35/L=27",
"D)w=14/L=35",
"E)w=19/L=39"
] | B |
aqua_train | aqua_train_2792 | How many minutes does Aditya take to cover a distance of 400 m, if he runs at a speed of 20 km/hr? | [
"A)1 min",
"B)1 (1/5) min",
"C)2 min",
"D)3 min",
"E)4 min"
] | B |
aqua_train | aqua_train_45873 | A couple who own an appliance store discover that if they advertise a sales discount of 10% on every item in the store, at the end of one month the number of total items sold increases 20%. Their gross income from sales for one month increases by what percent? | [
"A)2%",
"B)4%",
"C)5%",
"D)8%",
"E)12%"
] | D |
aqua_train | aqua_train_89535 | The angle between the minute hand and the hour hand of a clock when the time is 10.30, is | [
"A)35°",
"B)65°",
"C)45°",
"D)135°",
"E)95°"
] | D |
aqua_train | aqua_train_47355 | In how many different ways can pennies (1 cent), nickels (5 cents), dimes (10 cents), and quarters (25 cents) be combined for a total of $1.05 (105 cents), if at least one coin of at least three types of coins must be included? | [
"A)78",
"B)103",
"C)118",
"D)131",
"E)221"
] | E |
aqua_train | aqua_train_78350 | If k is an integer and 2 < k < 8, for how many different values of k is there a triangle with sides of lengths 3, 6, and k? | [
"A)0",
"B)1",
"C)2",
"D)3",
"E)4"
] | E |
aqua_train | aqua_train_48303 | Three men sit at a table. One dollar is placed in front of each of them. When a buzzer sounds, the first man to touch the money in front of him keeps the money that is in front of him, while the other two receive nothing. If none of the three men touches the money in front of them, then the amount of money doubles for the next round. After six rounds of this activity, what is the maximum amount of money that any one man could receive? | [
"A)$4",
"B)$5",
"C)$10",
"D)$15",
"E)$32"
] | E |
aqua_train | aqua_train_91825 | The cash difference between the selling prices of an article at a profit of 4% and 2% is Rs. 3. The ratio of the two selling prices is? | [
"A)52:51",
"B)52:53",
"C)52:50",
"D)22:56",
"E)52:51"
] | A |
aqua_train | aqua_train_49102 | The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%? | [
"A)16 2/3% loss",
"B)16 7/3% loss",
"C)18 2/3% loss",
"D)16 2/9% loss",
"E)26 2/3% loss"
] | A |
aqua_train | aqua_train_71484 | If x and y are positive integers such that y is a multiple of 5 and 3x + 6y = 300, then x must be a multiple of which of the following? | [
"A)3.",
"B)6.",
"C)7.",
"D)8.",
"E)10."
] | E |
aqua_train | aqua_train_97321 | If 204 ÷ 12.75 = 16, then 2.04 ÷ 1.275 = ? | [
"A)16",
"B)1.6",
"C)0.16",
"D)0.016",
"E)None of these"
] | B |
sciq | sciq_4 | Some microorganisms can digest cellulose, breaking it down into what? | [
"gluclose polymers",
"fructose polymers",
"fructose monomers",
"glucose monomers"
] | D |
aqua_train | aqua_train_15261 | Rosy is 2 years elder than Mary. After 6 years the total of their ages will be 7 times of their current age. Then age of Rosy is : | [
"A)10 Years",
"B)16 Years",
"C)17 Years",
"D)20 Years",
"E)Data inadequate"
] | E |
sciq | sciq_4 | The brain develops from this early tube structure and gives rise to specific regions of the adult brain. as the neural tube grows and differentiates, it enlarges into three vesicles that correspond to the forebrain, midbrain, and this? | [
"anteriorbrain",
"rearbrain",
"astrobrain",
"hindbrain"
] | D |
sciq | sciq_4 | What stages in the life of a cell does the cell cycle include? | [
"adult stages",
"intermediate stages",
"both",
"all"
] | D |
aqua_train | aqua_train_11919 | II - IV + IX = 200
VI + I - V= 100
II - VI + VII = 150
Then,
VII + II + III = ? | [
"A)350",
"B)220",
"C)150",
"D)230",
"E)450"
] | E |
aqua_train | aqua_train_31567 | Pradeep has to obtain 20% of the total marks to pass. He got 160 marks and failed by 25 marks. The maximum marks are | [
"A)1925",
"B)600",
"C)925",
"D)1325",
"E)900"
] | C |
aqua_train | aqua_train_77510 | What will the ratio of simple interest earned by certain amount at the same rate of interest for 5 years and that for 11 years. | [
"A)1:2",
"B)2:3",
"C)2:7",
"D)5:3",
"E)None of these"
] | E |
science_train | science_train_5691 | Question: What information supports the conclusion that Todd acquired this trait?
Hints: | [
"Todd likes to fly a kite with his younger brother.",
"Todd's friend taught him how to fly a kite.",
"Todd's neighbor taught him how to repair a kite."
] | B |
aqua_train | aqua_train_89879 | A boy owes his Dad $50 which he can clear by washing the dishes. His father clears $2 every time he washes the dishes. If his son misses a day, the clearing balance value reduces by 50%. If his son washes the dishes for two weeks starting from Monday to Sunday, but forgets to wash on Monday of the second week. How much money does the boy still have to pay after two weeks? | [
"A)20",
"B)28",
"C)14",
"D)30",
"E)15"
] | D |
aqua_train | aqua_train_70437 | In the office supply store, Brittany bought 17 pens of three kinds: ball pens, gel pens, and ink pens, which cost $0.05, $0.10 and $0.25 each. The total that Brittany paid was $2.05. If Brittany bought twice as many gel pens as ink pens, how many ball pens did she buy? | [
"A)4",
"B)5",
"C)7",
"D)8",
"E)10"
] | B |
science_train | science_train_1768 | Question: Is the following trait inherited or acquired?
Lisa plays basketball.
Hints: | [
"acquired",
"inherited"
] | A |
sciq | sciq_4 | What type of bonds only form in metals? | [
"optical bonds",
"friction bonds",
"liquid bonds",
"metallic bonds"
] | D |
aqua_train | aqua_train_39859 | At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000? | [
"A)6620",
"B)3277",
"C)2688",
"D)2998",
"E)2789"
] | A |
aqua_train | aqua_train_560 | Two brothers took the GMAT exam, the higher score is P and the lower one is Q. If the difference between the two scores is equal to their average, what is the value of Q/P ? | [
"A)3",
"B)2",
"C)1/2",
"D)1/3",
"E)There isn't enough data to answer the question."
] | D |
aqua_train | aqua_train_67218 | Find the area between two concentric circles defined by
x2 + y2 -2x + 4y + 1 = 0
x2 + y2 -2x + 4y - 11 = 0 | [
"A)11 Pi",
"B)12 Pi",
"C)13 Pi",
"D)14 Pi",
"E)15 Pi"
] | B |
aqua_train | aqua_train_14542 | Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 60900. What is his profit percent? | [
"A)10.7%",
"B)19%",
"C)18%",
"D)14%",
"E)16%"
] | A |
aqua_train | aqua_train_6868 | If two letters are taken at random from the word HOME, what is the probability that none of the letters would be vowels? | [
"A)1/3",
"B)1/2",
"C)1/6",
"D)1/8",
"E)1/9"
] | C |
aqua_train | aqua_train_49670 | On selling 13 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is: | [
"A)s. 45",
"B)s. 50",
"C)s. 55",
"D)s. 60",
"E)s. 90"
] | E |
aqua_train | aqua_train_95632 | A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is: | [
"A)6 hours",
"B)10 hours",
"C)15 hours",
"D)30 hours",
"E)none"
] | C |
aqua_train | aqua_train_47214 | Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is? | [
"A)4:6",
"B)4:3",
"C)4:1",
"D)4:9",
"E)4:2"
] | B |
ds_train | ds_train_763 | In the context of cladistics, which method is used to ascertain differential taxon representation in phylogenetic trees? | [
"A. Maximum Likelihood\nB. Neighbor-Joining\nC. Bootstrap Resampling\nD. Outgroup Comparison"
] | D |
aqua_train | aqua_train_43983 | How many cuboids of length 5 m, width 2 m and height 3 m can be farmed from a cuboid of 18 m length, 15 m width and 2 m height. | [
"A)10",
"B)12",
"C)15",
"D)16",
"E)18"
] | E |
aqua_train | aqua_train_72531 | The distance between two cities A and B is 330 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet? | [
"A)10 am",
"B)11 am",
"C)12 pm",
"D)1 pm",
"E)2 pm"
] | B |
ds_train | ds_train_1113 | Consider an H-frame DC motor controller circuit used to change the direction of the motor's rotation by varying the polarity of the voltage applied. If the circuit consists of four switches (Q1, Q2, Q3, Q4), how should the switches be activated to make the motor spin in a forward direction? | [
"A. Q1 and Q3 should be ON",
"while Q2 and Q4 should be OFF.\nB. Q1 and Q4 should be ON",
"while Q2 and Q3 should be OFF.\nC. Q1 and Q2 should be ON",
"while Q3 and Q4 should be OFF.\nD. Q2 and Q4 should be ON",
"while Q1 and Q3 should be OFF."
] | B |
aqua_train | aqua_train_1144 | A reading list for a certain course consists of 10 books, of which 4 are poems and the rest are novels. Each student is required to read a selection of 4 books from the list, including at most 2 novels. How many selections of 4 books satisfy the requirements? | [
"A)90",
"B)115",
"C)130",
"D)144",
"E)195"
] | B |
aqua_train | aqua_train_82568 | Of 600 surveyed students, 20% of those who read book A also read book B and 25% of those who read book B also read book A. If each student read at least one of the books, what is the difference between the number of students who read only book A and the number of students who read only book B? | [
"A)20",
"B)25",
"C)30",
"D)35",
"E)75"
] | E |
aqua_train | aqua_train_44729 | How many different positive integers exist between 10^7 and 10^8, the sum of whose digits is equal to 2? | [
"A)6",
"B)7",
"C)5",
"D)8",
"E)18"
] | D |
aqua_train | aqua_train_63929 | Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is ? | [
"A)5/19",
"B)5/12",
"C)5/29",
"D)5/20",
"E)5/22"
] | B |
aqua_train | aqua_train_10149 | If 4 spiders make 3 webs in 9 days, then how many days are needed for 1 spider to make 1 web? | [
"A)9",
"B)12",
"C)27",
"D)24",
"E)16"
] | B |
aqua_train | aqua_train_29545 | In how many different number of ways 4 men and 2 women can sit on a bench? | [
"A)690",
"B)700",
"C)720",
"D)740",
"E)760"
] | C |
aqua_train | aqua_train_95720 | If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/36, then the reciprocal of n must be | [
"A)Less than -6",
"B)Between -1 and -1/6",
"C)Between -1/6 and 0",
"D)Between 0 and 1/6",
"E)Greater than 6"
] | A |
aqua_train | aqua_train_86976 | The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 20 percent. The price of the item on day 3 is what percentage of the sale price on day 1? | [
"A)28%",
"B)40%",
"C)64.8%",
"D)70%",
"E)72%"
] | E |
aqua_train | aqua_train_30053 | What is the next number of the following sequence
7,0,1,8,5,12,9,2,6,3,2,? | [
"A)4",
"B)5",
"C)6",
"D)7",
"E)8"
] | B |
aqua_train | aqua_train_36401 | A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet? | [
"A)2:00pm",
"206 km",
"B)2:00pm",
"220 km",
"C)2:00pm",
"200 km",
"D)2:00pm",
"208 km",
"E)2:00pm",
"230 km"
] | C |
aqua_train | aqua_train_34520 | Three numbers are such that the Second is as much lesser than thr third as the first is lesser than the second.If the product of the two smaller numbers is 85 and product of two larger number is 115 then find the middle number | [
"A)8",
"B)9",
"C)10",
"D)12",
"E)15"
] | C |
science_train | science_train_2434 | Question: Which better describes the Sonoran Desert ecosystem?
Hints: | [
"It has mostly small plants. It also has only a few types of organisms.",
"It has dry",
"thin soil. It also has many different types of organisms."
] | B |
aqua_train | aqua_train_45892 | If the gross salary for first year is Rs. 45000 and an employee has two options to choose from for increment .Either he can opt for 4% yearly increase or Rs. 25000/- yearly increase on the gross salary. If an employee choose the first option, after how many years his salary will be more than the option two ? | [
"A)15 years",
"B)16 years",
"C)17 years",
"D)18 years",
"E)19 years"
] | D |
aqua_train | aqua_train_71717 | A company has a job to prepare certain number of cans and there are three machines A, B and C for this job. A can complete the job in 1 day, B can complete the job in 2 days and C can complete the job in 5 days. How many days the company will it take to complete the job if all the machines are used simultaneously? | [
"A)4 days",
"B)4/3 days",
"C)10/17 days",
"D)12days",
"E)14 days"
] | C |
ds_train | ds_train_137 | In a triangle \( \Delta ABC \), cevians \( AD \), \( BE \), and \( CF \) intersect at a common point \( P \). Given that \( \frac{AF}{FB} = 2 \), \( \frac{BD}{DC} = 3 \), and \( \frac{CE}{EA} = 1 \), verify if \( P \) is indeed a point of concurrency according to Ceva's theorem. | [
"A. Yes",
"because \\( \\frac{AF}{FB} \\cdot \\frac{BD}{DC} \\cdot \\frac{CE}{EA} = 1 \\)\nB. No",
"because \\( \\frac{AF}{FB} \\cdot \\frac{BD}{DC} \\cdot \\frac{CE}{EA} \\\neq 1 \\)\nC. Yes",
"but \\(\\frac{AF}{FB} + \\frac{BD}{DC} + \\frac{CE}{EA} = 1\\)\nD. No",
"since \\( \\frac{AF}{FB} \\cdot \\frac{B... | B |
sciq | sciq_4 | Sediments in oligotrophic lakes contain large amounts of what? | [
"algae",
"fertilizer",
"igneous rocks",
"decomposable organic matter"
] | D |
aqua_train | aqua_train_85379 | Dacid obtained 96, 95, 82, 87 and 92 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks? | [
"A)67",
"B)26",
"C)87",
"D)26",
"E)90"
] | E |
aqua_train | aqua_train_49459 | If p and q are integers, such that p < 6 < q, and s is a nonnegative integer, which of the following must be true? | [
"A)p^2 < q^2",
"B)p + q = 0",
"C)sp < sq",
"D)sp ≠ sq",
"E)p/q < s"
] | C |
aqua_train | aqua_train_30395 | In the rectangular coordinate system Point O has coordinates (0,0) and Point B has coordinates (2,2) and if point A is equidistant from points O and B and the area of the triangle OAB is 16, which of the following are the possible coordinates of point A. | [
"A)(-2,6)",
"B)(0,4)",
"C)(2,-6)",
"D)(2,6)",
"E)(4,0)"
] | E |
science_train | science_train_6345 | Question: Select the organism in the same species as the crystal jellyfish.
Hints: | [
"Aurelia aurita",
"Aequorea victoria",
"Cyanea capillata"
] | B |
aqua_train | aqua_train_34291 | A ship 450 m long is running at a speed of 24 km/hr. In what time will it pass a bridge 900 m long? | [
"A)202.5sec",
"B)205.5 sec",
"C)200 sec",
"D)1350 sec",
"E)900sec"
] | A |
aqua_train | aqua_train_58032 | A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 441, what was his profit? | [
"A)s. 64",
"B)s. 69",
"C)s.72",
"D)s.75",
"E)s.81"
] | E |
aqua_train | aqua_train_24895 | In 1985, 45 percent of a document storage facility's 60 customers were banks, and in 1987, 25 percent of its 144 customers were banks. What was the percent increase from 1985 to 1987 in the number of bank customers the facility had? | [
"A)10.7%",
"B)20%",
"C)25%",
"D)33 1/3",
"E)58 1/3"
] | D |
aqua_train | aqua_train_72208 | What is the units digit of the product of the first 100 odd numbers? | [
"A)1",
"B)3",
"C)0",
"D)5",
"E)7"
] | D |
aqua_train | aqua_train_85989 | Ram professes to sell his goods at the cost price but he made use of 970 grms instead of a kg, what is the gain percent? | [
"A)11 1/7%",
"B)3.09%",
"C)11 1/9%",
"D)71 1/9%",
"E)11 1/2%"
] | B |
aqua_train | aqua_train_93786 | Mr. John used to purchase certain number of mangoes for $360 Since the price of mangoes is reduced by 10% he got 12 more mangoes today. Find the original price of 130 mangoes. | [
"A)360",
"B)380",
"C)400",
"D)406",
"E)433"
] | E |
aqua_train | aqua_train_76782 | A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water? | [
"A)9",
"B)8",
"C)5",
"D)2",
"E)1"
] | B |
aqua_train | aqua_train_820 | A dishonest dealer professes to sell his goods at Cost Price but still gets 15% profit by using a false weight. What weight does he substitute for a kilogram? | [
"A)869 1/7 grams",
"B)869 13/23 grams",
"C)869 8/3 grams",
"D)869 1/3 grams",
"E)832 1/23 grams"
] | B |
aqua_train | aqua_train_1053 | How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm? | [
"A)5600",
"B)6000",
"C)6400",
"D)7200",
"E)8600"
] | C |
aqua_train | aqua_train_93745 | Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 36 kmph and 72 kmph. After how much time will the trains meet? | [
"A)10/3 sec",
"B)20/4 sec",
"C)20/7 sec",
"D)22/7 sec",
"E)60/7 sec"
] | A |
aqua_train | aqua_train_97165 | A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but six, all pigeons but six, and all ducks but six. How many birds he had in the bag in all? | [
"A)9",
"B)18",
"C)27",
"D)36",
"E)34"
] | A |
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