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_92533
If m and n are the roots of the quadratic equation x^2βˆ’(2√5)xβˆ’2=0, the value of m2+n2 is:
[ "A)18", "B)20", "C)22", "D)24", "E)32" ]
D
aqua_train
aqua_train_84481
Indu gave Bindu Rs.5000 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
[ "A)1", "B)2", "C)7", "D)4", "E)8" ]
E
aqua_train
aqua_train_75898
For any number Z, Z* is defined as the greatest positive even integer less than or equal to y. What is the value of 6.30 – 6.30*?
[ "A)1.5", "B)0.5", "C)6.25", "D)0.25", "E)0.3" ]
E
aqua_train
aqua_train_28776
In f is a positive integer smaller than 200 and (14f)/60 is an integer, then f has how many different positive prime factors?
[ "A)2", "B)3", "C)5", "D)6", "E)8" ]
B
aqua_train
aqua_train_16247
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)4:4", "D)4:7", "E)4:2" ]
B
mcq_train
mcq_train_109
Question: One-time pad ... Options: never uses a key $K$ which is picked from a uniform distribution., pads the message at least once before encryption., allows an efficient key management., uses an invertible group operation such as ``$\oplus$" for encryption.
[ "never uses a key $K$ which is picked from a uniform distribution.", "pads the message at least once before encryption.", "allows an efficient key management.", "uses an invertible group operation such as ``$\\oplus$\" for encryption." ]
D
sciq
sciq_4
What is a measure of both speed and direction of motion?
[ "distance", "intensity", "acceleration", "velocity" ]
D
aqua_train
aqua_train_43286
In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
[ "A)15", "B)77", "C)25", "D)18", "E)12" ]
C
aqua_train
aqua_train_86010
A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum?
[ "A)7500", "B)2776", "C)2877", "D)2667", "E)2671" ]
A
aqua_train
aqua_train_89416
A certain car increased its average speed by 3 miles per hour in each successive 5-minute interval after the first interval. If in the first 5-minute interval its average speed was 20 miles per hour, how many miles did the car travel in the third 5-minute interval?
[ "A)1.0", "B)1.5", "C)2.0", "D)2.5", "E)3.0" ]
C
aqua_train
aqua_train_42525
In Sam's hanger there are 23 boxes, 18 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?
[ "A)1.", "B)2.", "C)3.", "D)4.", "E)5." ]
B
aqua_train
aqua_train_8665
If a number between 10 and 60 (inclusive) at random. What is the probability that the tens digit is greater than ones digit?
[ "A)31/41", "B)1041", "C)14/41", "D)27/41", "E)16/51" ]
E
aqua_train
aqua_train_3636
The ratio between the perimeter and the width of a rectangle is 5 : 1. If the area of the rectangle is 294 sq. cm, what is the width of the rectangle?
[ "A)10 cm", "B)12 cm", "C)14 cm", "D)16 cm", "E)18 cm" ]
C
aqua_train
aqua_train_95337
In what ratio must tea worth Rs. 60 per kg be mixed with tea worth Rs. 65 a Kg such that by selling the mixture at Rs. 68.20 a Kg ,there can be a gain 10%?
[ "A)3 : 2", "B)2 : 3", "C)4 : 3", "D)3 : 4", "E)None of these" ]
A
aqua_train
aqua_train_76821
Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
[ "A)Rs. 13.50", "B)Rs. 16.54", "C)Rs. 16.80", "D)Rs. 16.50", "E)Rs. 16.00" ]
D
sciq
sciq_4
Burning trees produces most of the same pollutants as burning what?
[ "fossil compounds", "carbon", "coal fuels", "fossil fuels" ]
D
sciq
sciq_4
What type of lenses can correct myopia?
[ "polarized lenses", "diffusion lenses", "convex lenses", "concave lenses" ]
D
mcq_train
mcq_train_324
Question: Tick the \textbf{true} assertion. In a zero-knowledge interactive proof of knowledge, \ldots Options: for any ppt verifier, any simulator can produce a transcript which is indistinguishable from the original conversation., the proof of knowledge denotes that the prover does not know why the statement is true., for any ppt verifier, there is a simulator which produces a conversation indistinguishable from the original conversation., the simulator is computationally unbounded.
[ "for any ppt verifier", "any simulator can produce a transcript which is indistinguishable from the original conversation.", "the proof of knowledge denotes that the prover does not know why the statement is true.", "for any ppt verifier", "there is a simulator which produces a conversation indistinguishabl...
C
aqua_train
aqua_train_68146
A certain list of 240 test scores has an average (arithmetic mean) of 85 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 242 test scores with a standard deviation less than d ?
[ "A) 80 and 80", "B) 80 and 85", "C) 80 and 90", "D) 85 and 86", "E) 85 and 90" ]
D
aqua_train
aqua_train_2124
The speed of a boat in still water is 50kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
[ "A)kmph", "B)kmph", "C)kmph", "D)kmph", "E)kmph" ]
B
aqua_train
aqua_train_13470
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
[ "A)1.8", "B)1.6", "C)1.3", "D)1.5", "E)1.1" ]
D
aqua_train
aqua_train_27321
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 30%?
[ "A)5%", "B)29%", "C)10%", "D)80%", "E)90%" ]
A
aqua_train
aqua_train_2597
Working alone, A can complete a certain kind of job in 10 hours. A and D, working together at their respective rates, can complete one of these jobs in 5 hours. In how many hours can D, working alone, complete one of these jobs?
[ "A) 9", "B) 10", "C) 11", "D) 12", "E) 13" ]
B
aqua_train
aqua_train_22731
If x is an odd integer and y = 2x + 8, which of the following CANNOT be a divisor of y?
[ "A)10", "B)14", "C)18", "D)21", "E)22" ]
D
aqua_train
aqua_train_76310
If x is negative and y is positive, which of the following cannot be positive?
[ "A)xy", "B)-xy", "C)x/-y", "D)x^2/y", "E)x^4/y" ]
A
aqua_train
aqua_train_69094
The area of a triangle will be when a = 1m, b = 2m, c = 5m, a, b, c being lengths of respective sides?
[ "A)3", "B)6", "C)4", "D)9", "E)1" ]
C
ds_train
ds_train_316
In the context of quantum optics, which process best describes the phenomenon where a single photon beam is split into two entangled photons, often used in quantum cryptography and quantum teleportation protocols?
[ "A. Spontaneous Parametric Down-Conversion (SPDC)\nB. Stimulated Emission\nC. Four-Wave Mixing\nD. Atomic Spontaneous Emission" ]
A
aqua_train
aqua_train_67179
There are 6 people and 3 chairs. In how many different ways people can occupy the chairs?
[ "A)90", "B)120", "C)150", "D)100", "E)140" ]
B
aqua_train
aqua_train_4732
In the first 7 overs of a cricket game, the run rate was only 4.2. What should be the rate in the remaining 30 overs to reach the target of 282 runs?
[ "A)6.25", "B)8.42", "C)8.3", "D)8.1", "E)6.21" ]
B
aqua_train
aqua_train_22132
There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 8 days more?
[ "A)1122", "B)1140", "C)1199", "D)1188", "E)1166" ]
B
aqua_train
aqua_train_85744
If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
[ "A)1100", "B)1134", "C)1240", "D)1340", "E)1365" ]
E
aqua_train
aqua_train_38302
In the Forestside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
[ "A)50.", "B)45.", "C)40.", "D)30.", "E)25." ]
A
aqua_train
aqua_train_48377
A carpenter worked alone for 1 day on a job that would take him 5 more days to finish. He and another carpenter completed the job in 4 more days. How many days would it have taken the second carpenter to do the complete job working alone?
[ "A)4 2/3", "B)7", "C)9", "D)14", "E)24" ]
E
sciq
sciq_4
The alimentary canal is associated with what organ system?
[ "respiratory", "nervous", "cardiovascular", "digestive" ]
D
aqua_train
aqua_train_60271
What is the units digit of 32! + 50! + 4! + 4!?
[ "A)0", "B)2", "C)4", "D)6", "E)8" ]
E
aqua_train
aqua_train_37068
A man took loan from a bank at the rate of 12% p.a. S.I. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was?
[ "A)3887", "B)2768", "C)15000", "D)76887", "E)16711" ]
C
science_train
science_train_5700
Question: Will these magnets attract or repel each other? Hints:
[ "repel", "attract" ]
A
science_train
science_train_2213
Question: Compare the average kinetic energies of the particles in each sample. Which sample has the higher temperature? Hints:
[ "sample A", "neither; the samples have the same temperature", "sample B" ]
C
aqua_train
aqua_train_84705
Each digit in the two-digit number G is halved to form a new two-digit number H. Which of the following numbers could be the sum of G and H?
[ "A)153", "B)150", "C)140", "D)138", "E)89" ]
D
aqua_train
aqua_train_96643
The variables a and b are non-zero integers W. If a = 2b^3/c, what happens to c when a is halved and b is doubled?
[ "A)c is not changed.", "B)c is halved.", "C)c is doubled.", "D)c is multiplied by 4.", "E)c is multiplied by 16." ]
E
aqua_train
aqua_train_12955
Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for U to be in the position where R is now shown. The number of degrees through which RSTU is rotated is
[ "A) 135 degree", "B) 180 degree", "C) 90 degree", "D) 270 degree", "E) 315 degree" ]
C
aqua_train
aqua_train_171
0.5, 0.55, 0.65, 0.8, ?
[ "A)0.7", "B)0.9", "C)0.95", "D)1", "E)2" ]
D
aqua_train
aqua_train_41525
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
[ "A)186 m", "B)176 m", "C)120 m", "D)178 m", "E)187 m" ]
C
aqua_train
aqua_train_25665
If c = (1/4)a and b = 7c, then which of the following represents the average (arithmetic mean) of a, b, and c, in terms of c ?
[ "A)2b", "B)3b", "C)4b", "D)5b", "E)12b" ]
C
aqua_train
aqua_train_9773
If there are 80 red and blue marbles in a jar, and the ratio of red to blue marbles is 2:3, what is the probability that, drawing twice, you will select two red marbles if you return the marbles after each draw?
[ "A)1/25", "B)2/25", "C)3/25", "D)4/25", "E)21/25" ]
D
aqua_train
aqua_train_92778
A number x is multiplied with itself and then added to the product of 4 and x. If the result of these two operations is 0, what is the value of x?
[ "A)-4 and 0", "B)-2", "C)2", "D)4", "E)Cannot be determined." ]
A
aqua_train
aqua_train_7
If (x^2 + 4x - 11)/5 ≀ x + 1, then x could be represented by which of the following?
[ "A)βˆ’ 3 ≀ x ≀ 4", "B)βˆ’ 4 ≀ x ≀ 3", "C)βˆ’ 3 ≀ x ≀ 3", "D)βˆ’ 4 ≀ x ≀ βˆ’ 3", "E)3 ≀ x ≀ 4" ]
A
aqua_train
aqua_train_7635
A, B and C rent a pasture. If A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing and the rent of the pasture is Rs. 105, then how much amount should C pay as his share of rent?
[ "A)35", "B)27", "C)25", "D)15", "E)55" ]
B
aqua_train
aqua_train_71454
How many positive integers D between 200 and 300 (both inclusive) are not divisible by 2, 3 or 5?
[ "A)3", "B)16", "C)75", "D)24", "E)26" ]
E
aqua_train
aqua_train_64016
Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
[ "A)23", "B)35", "C)40", "D)45", "E)67" ]
C
aqua_train
aqua_train_94895
A pharmaceutical company received $3 million in royalties on the first $30 million in sales of and then $9 million in royalties on the next $120 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $30 million in sales to the next $120 million in sales?
[ "A)8%", "B)15%", "C)25%", "D)52%", "E)56%" ]
C
aqua_train
aqua_train_21823
A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 60 minutes. When both pipes are opened, find when the cistern will be full?
[ "A)17 minutes", "B)87 minutes", "C)30 minutes", "D)27 minutes", "E)11 minutes" ]
C
sciq
sciq_4
On what type of land does runoff cause more erosion?
[ "grassy", "metallic", "mountainous", "bare" ]
D
aqua_train
aqua_train_34116
10 men and 15 women together can complete a work in 7 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?
[ "A)127 days", "B)667 days", "C)177 days", "D)187 days", "E)350 days" ]
E
aqua_train
aqua_train_69752
X, Y, and Z are different prime numbers. The product X^2*Y*Z is divisible by how many different positive numbers?
[ "A)4", "B)6", "C)8", "D)9", "E)12" ]
E
sciq
sciq_4
Mammals can feed at various levels of food chains, as herbivores, insectivores, carnivores and what else?
[ "blood eaters", "nematodes", "vegetarians", "omnivores" ]
D
aqua_train
aqua_train_93654
((-1.9)(0.6) – (2.6)(1.2))/3.0 = ?
[ "A)-0.71", "B)1.0", "C)1.07", "D)-1.42", "E)2.71" ]
D
aqua_train
aqua_train_9734
Three houses of the same type were advertised to be let in a locality. four men made separate applications for a house. What is the probability that each of them applied for the same house.
[ "A)1/4", "B)1/6", "C)1/8", "D)1/9", "E)3/256" ]
E
aqua_train
aqua_train_16670
A shopkeeper has 280 kg of apples. He sells 85% of these at 20% profit and remaining 60% at 30% profit. Find his % profit on total.
[ "A)24%", "B)25%", "C)26%", "D)28%", "E)35%" ]
E
aqua_train
aqua_train_15011
At what angle the hands of a clock are inclined at 15 minutes past 5?
[ "A)67.9", "B)67.5", "C)67.2", "D)67.1", "E)67.92" ]
B
aqua_train
aqua_train_42901
One-third of 1206 is what percent of 400 ?
[ "A)3", "B)30", "C)300", "D)100.5", "E)201.2" ]
D
aqua_train
aqua_train_31245
There are six cards in which it has two king cards. all cards are turned down and two cards are opened what is the possibility to get at least one king.
[ "A)1/5", "B)2/5", "C)3/5", "D)4/5", "E)6/5" ]
C
sciq
sciq_4
How many miles is the distance between the earth and sun?
[ "91", "82", "78", "93" ]
D
aqua_train
aqua_train_27845
As a bicycle salesperson, Norman earns a fixed salary of $20 per week plus $6 per bicycle for the first six bicycles he sells, $12 per bicycle for the next six bicycles he sells, and $18 per bicycle for every bicycle sold after the first 12. This week, Norman earned more than twice as much as he did last week. If he sold a bicycles last week and y bicycles this week, which of the following statements must be true? I. y > 2a II. y > a III. y > 3
[ "A)I only", "B)II only", "C)I and II", "D)II and III", "E)I", "II", "and III" ]
D
aqua_train
aqua_train_51239
How many 3/4 foot pieces of cable can be cut out of a piece that is 40 feet long?
[ "A)a.50", "B)b.56", "C)c.57", "D)d.53", "E)e. 59" ]
D
aqua_train
aqua_train_12079
Working alone, machine X can manufacture 1,000 nails in 12 hours. Working together, machines X and Y can manufacture 1,000 nails in 5 hours. How many hours does it take machine Y to manufacture 800 nails working alone?
[ "A)6 6/7", "B)7 1/3", "C)7", "D)8 1/5", "E)9 4/7" ]
A
aqua_train
aqua_train_32920
A man rows his boat 75 km downstream and 45 km upstream, taking 5 hours each time. Find the speed of the stream?
[ "A)6 kmph", "B)5 kmph", "C)2 kmph", "D)3 kmph", "E)1 kmph" ]
D
sciq
sciq_4
What is the name given to the use of controlled nuclear fusion as an energy source?
[ "generator power", "half-life", "fossil fuel", "thermonuclear power" ]
D
aqua_train
aqua_train_64247
A goods train runs at the speed of 72 km/hr and crosses a 220 m long platform in 26 sec. What is the length of the goods train?
[ "A)382", "B)782", "C)300", "D)270", "E)881" ]
C
aqua_train
aqua_train_2434
A boy has 9 trousers and 15 shirts. In how many different ways can he select a trouser and a shirt?
[ "A)100", "B)140", "C)104", "D)135", "E)125" ]
D
aqua_train
aqua_train_3750
From 6 positive numbers and 6 negative numbers, how many groups R of 4 numbers, yielding a positive product, can be formed?
[ "A)720", "B)625", "C)30", "D)960", "E)255" ]
E
sciq
sciq_4
What is an organism that spreads bacteria or other pathogens?
[ "plane", "section", "arc", "vector" ]
D
science_train
science_train_1986
Question: Using only these supplies, which question can Manuel investigate with an experiment? Hints:
[ "Does a big toy car go down the wooden ramp faster than a small toy car?", "Do toy cars with plastic wheels go faster down the cardboard ramp than toy cars with metal wheels?", "Do toy cars go faster down the ramp made of wood or the ramp made of cardboard?" ]
C
aqua_train
aqua_train_48227
The expression 10^14βˆ’100 is divisible by all of the following integers EXCEPT
[ "A)2", "B)3", "C)4", "D)8", "E)7" ]
E
aqua_train
aqua_train_17668
In a group of ducks and goats, the total number of legs are 32 more than twice the number of heads. Find the total number of goats.
[ "A)A)14", "B)B)12", "C)C)6", "D)D)8", "E)E)16" ]
E
aqua_train
aqua_train_90281
A clock store sold a certain clock to a collector for 30 percent more than the store had originally paid for the clock. When the collector tried to resell the clock to the store, the store bought it back at 60 percent of what the collector had paid. The shop then sold the clock again at a profit of 90 percent on its buy-back price. If the difference between the clock's original cost to the shop and the clock's buy-back price was $150, for how much did the shop sell the clock the second time?
[ "A)$1010.46", "B)$505.23", "C)$2020.92", "D)$800.46", "E)$1515.69" ]
A
aqua_train
aqua_train_89495
If 2|2 –a| = 5, what is the sum of all the possible values for a ?
[ "A)1/2", "B)2", "C)5/2", "D)4", "E)5" ]
D
science_train
science_train_2494
Question: Is the following trait inherited or acquired? Paula has five toes on each foot. Hints:
[ "acquired", "inherited" ]
B
aqua_train
aqua_train_65260
Find the average of first 4 multiples of 12?
[ "A)10", "B)12.6", "C)22.5", "D)30", "E)40.8" ]
D
science_train
science_train_2035
Question: Which better describes the Taklamakan Desert ecosystem? Hints:
[ "It has heavy snow. It also has soil that is frozen year-round.", "It has dry", "thin soil. It also has long", "cold winters." ]
B
aqua_train
aqua_train_64303
A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
[ "A)928", "B)278", "C)192", "D)108", "E)289" ]
D
sciq
sciq_4
The nervous system is characterized by electrical signals that are sent from one area to another. whether those areas are close or very far apart, the signal must travel along this?
[ "axial", "hairs", "tendons", "axon" ]
D
aqua_train
aqua_train_81120
A square was given. Inside the square there are white tiles and black tiles. Black tiles was among the diagonal of the square and dimensions of both white as well as black tiles is 1cm x 1cm. If there are 81 black tiles in the square. Then find the no of white tiles in it.
[ "A)2399", "B)1600", "C)2679", "D)1697", "E)1711" ]
B
aqua_train
aqua_train_10632
What will come in place of the x in the following Number series? 12, 38, 116, x,
[ "A)2643", "B)350", "C)3456", "D)7554", "E)3158" ]
B
sciq
sciq_4
Triploblasts include a broad range of animals, from flatworms to arthropods to what?
[ "cells", "mammals", "invertebrates", "vertebrates" ]
D
sciq
sciq_4
What type of science is the study of matter and energy and includes chemistry and physics?
[ "biology", "Earth science", "genetics", "physical science" ]
D
aqua_train
aqua_train_95725
In a class total 34 students, 16 are have a brother, 15 are have sisters, 9 students don't have either brothers or sisters.Find the number of students having both brother and sisters.
[ "A)4", "B)5", "C)6", "D)7", "E)8" ]
C
aqua_train
aqua_train_78760
What is the maximum number of slices can you obtain by cutting a cake with only 4 cuts?
[ "A)9", "B)12", "C)14", "D)16", "E)18" ]
D
aqua_train
aqua_train_20371
A basketball player succeeds with 70% of her free throws. If she has a set of three free throws, what is the probability that she succeeds at least once?
[ "A)0.952", "B)0.964", "C)0.973", "D)0.985", "E)0.992" ]
C
aqua_train
aqua_train_28985
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
[ "A)40 sec", "B)42 sec", "C)45 sec", "D)48 sec", "E)60 sec" ]
A
aqua_train
aqua_train_25529
The function f is defined for all the positive integers g by the following rule: f(g) is the number of positive integers each of which is less than g and has no positive factor in common with g other than 1 . if p is a prime number then f(p)?
[ "A)p-1", "B)p-2", "C)(p+1)/2", "D)(p-1)/2", "E)2" ]
A
aqua_train
aqua_train_94560
A diner is having lunch at a salad bar. There are three types of lettuce to choose from, as well as four types of tomatoes, and five types of olives. If the diner picks one type of lettuce, one type of tomato, and one type of olive for the salad, how many total options does the diner have for the salad?
[ "A)20", "B)30", "C)40", "D)50", "E)60" ]
E
aqua_train
aqua_train_48729
A circular path of 19 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
[ "A)rs.49.25", "B)rs.40.50", "C)rs.44.20", "D)rs.62.85", "E)rs.43.10" ]
D
science_train
science_train_2015
Question: Select the chemical formula for this molecule. Hints:
[ "IC", "I2Cl2", "ICl", "I2C2" ]
C
aqua_train
aqua_train_78244
In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 26 percent are juniors and 75 percent are not sophomores. If there are 160 seniors, how many more freshmen than sophomores are there among the sample of students?
[ "A)32", "B)40", "C)48", "D)54", "E)60" ]
A
aqua_train
aqua_train_51665
What will be the compound interest on a sum of Rs. 21,000 after 3 years at the rate of 12% p.a.?
[ "A)Rs. 8503.49", "B)Rs. 9720", "C)Rs. 10123.20", "D)Rs. 10483.20", "E)None" ]
A
aqua_train
aqua_train_90589
In a certain habitat, animals live in groups of two and groups of three. Each time a new animal arrives at the habitat, it randomly chooses a group. If the chosen group has two animals in it, the new animal joins the group forming a group of three animals. If the chosen group has three animals in it, the new animal takes one of the animals away from the group of three and forms a separate group of two animals. If initially there are five animals in the habitat, and new animals arrive one at a time, what is the probability that the fourth new animal joins a group of two animals?
[ "A)1/3", "B)1/2", "C)5/9", "D)5/8", "E)none of the previous choices" ]
C
aqua_train
aqua_train_43549
When 2 dices tossed, what is the probability that 2 numbers faced have difference 2?
[ "A)1/9", "B)2/9", "C)1/3", "D)4/9", "E)5/9" ]
B
sciq
sciq_4
What system consists of all the muscles of the body?
[ "vascular", "digestive", "endocrine", "muscular" ]
D
aqua_train
aqua_train_61752
The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
[ "A)8 : 9", "B)21 : 22", "C)17 : 18", "D)12 : 20", "E)Cannot be determined" ]
B