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mmlu_train_55894
Winter is dangerous for drivers because it's so difficult to know what is going to happen and accidents take place easily. Bad weather can be waiting to meet you. Ice might be hiding under the snow, waiting to send you off the road. The car coming towards you might suddenly move across the road. Here are two rules for ...
[ "drivers usually have too much coffee", "people drive three times faster than usual", "unexpected things may often happen", "people drive more gently and slowly" ]
C. unexpected things may often happen
mmlu_train
arc_easy_187
Which is an example of a chemical reaction?
[ "The melting of ice", "The grinding of salt crystals to powder", "The burning of wood", "The evaporation of water from a puddle" ]
C. The burning of wood
arc_easy
aquarat_37990
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in
[ "144 mins", "140 mins", "136 mins", "132 mins", "130 mins" ]
A. 144 mins
aquarat
mmlu_train_67004
Vans, Keds, Dollies--they sound like the names of rock bands, but if you have teenagers, you'll know they're actually the latest in teenage footwear. But experts are now warning that the current shoe fashions will be causing teenagers discomfort in the short term and storing up years of foot, knee and back pain in the ...
[ "trendy shoes may ruin teenagers' health", "fashionable shoes all have orthotics in them", "experts are strongly against wearing popular shoes", "podiatrists are expert at producing branded shoes" ]
A. trendy shoes may ruin teenagers' health
mmlu_train
mmlu_train_6373
In my first week as a graduate student at Cambridge University in 1964 I met with a fellow student, two years ahead of me in his studies; he was unsteady on his feet and spoke with great difficulty. This was Stephen Hawking. I learned that he had a bad disease and might not live long enough even to finish his PhD degre...
[ "His brilliant research.", "His defeating hardship.", "His serious disease.", "His bestselling books." ]
B. His defeating hardship.
mmlu_train
mmlu_train_29264
Dogs are known for a strong sense of smell. Their noses can be trained to identify different smells. Dogs are often used in search and rescue operations and to sniff for things like drugs and explosives. Some dogs have even been trained to sniff for cancer in people. Researchers have been trying to reproduce the extrao...
[ "The device uses lasers to examine for explosive materials.", "People have to take off their clothes when walking through the device.", "The device will show images of the passengers.", "The device can process all passengers at walking speed." ]
A. The device uses lasers to examine for explosive materials.
mmlu_train
arc_easy_1674
Which effect would the growing of legume crops such as beans and soybeans have?
[ "increase the efficiency of photosynthesis", "greater immunity of crops against diseases", "fewer bacteria in soil and in living organisms", "more usable nitrogen for other plants" ]
D. more usable nitrogen for other plants
arc_easy
mmlu_train_65581
A four-wheeled robot,known as Rover,has been tested by a team at Sydney University.It was used to move a herd of cows from a field to a dairy . Researchers were amazed at how easily cows accepted the presence of the robot.They were not disturbed by it and the gathering process was calm and effective.Because the robot m...
[ "can go around the farm automatically", "can help researchers to gather data", "has to be operated by a human", "has been available in the market" ]
C. has to be operated by a human
mmlu_train
aquarat_10002
If (10^40) – 34 is written as an integer in base 10 notation, what is the sum of the digits in that integer?
[ "354", "254", "344", "364", "324" ]
A. 354
aquarat
arc_easy_1908
Scientists estimate that Maryland contains more than 850 million tons of coal. Coal is most commonly used to produce ___.
[ "electricity", "medicine", "metals", "water" ]
A. electricity
arc_easy
mmlu_train_4594
Which characteristic can a human offspring inherit?
[ "facial scar", "blue eyes", "long hair", "broken leg" ]
B. blue eyes
mmlu_train
mmlu_train_17364
A Charlotte, N.C., man was charged with first-degree murder of a 79-year-old woman whom police said he scared to death. In an attempt to evade policemen after a bank robbery, the Associated Press reports that 20-year-old Larry Whitfield broke into the home of Mary Parnell. Police say he didn't touch Parnell but that sh...
[ "Winning a big lottery.", "Missing a dead family.", "Watching a horror movie.", "Listening to a sweet song." ]
D. Listening to a sweet song.
mmlu_train
mmlu_train_88528
Do you know why you sleep? You may think it's because you're tired. Or perhaps you've been told sleep is good for you. Yet no one knows exactly why or how people sleep. Until the early 1950s, most scientists thought the body and brain rested during sleep. Then a scientist watched people sleep. He noticed that during pe...
[ "has a restful effect on people", "can be avoided with lots of sleep", "is something that all people experience", "is something that all scientists agree on" ]
A. has a restful effect on people
mmlu_train
aquarat_15339
A car travels 25 km an hour faster than a bus for a journey of 500 km. If the bus takes 10 hours more than the car, then the speeds of the bus and the car are
[ "25 km/h and 40 km/h, respectively", "25 km/h and 60 km/h, respectively", "25 km/h and 50 km/h, respectively", "25 km/h and 70 km/h, respectively", "None of these" ]
C. 25 km/h and 50 km/h, respectively
aquarat
aquarat_48196
A machine puts c caps on bottles in m minutes. How many E hours will it take to put caps on b bottles?
[ "60bm/c", "E=bm/60c", "bc/60m", "60b/cm", "b/60cm" ]
B. E=bm/60c
aquarat
arc_easy_1043
When an atom loses or gains an electron, it changes
[ "atomic mass.", "atomic number.", "charge.", "element." ]
C. charge.
arc_easy
mmlu_train_35284
Welcome to Cambridge Dictionaries Online! Cambridge University Press publishes a range of dictionaries for learners of English all around the world. You can search our dictionaries using the search box at the top of the page. New for elementary learners We've added two new choices to Cambridge Dictionaries Online-Ess...
[ "college students", "English teachers", "adult English learners", "middle school students" ]
D. middle school students
mmlu_train
aquarat_37032
If 3^x*4^y = 531,441 and x – y = 12, then x = ?
[ "10", "11", "12", "13", "14" ]
C. 12
aquarat
mmlu_train_6791
Sports can help you keep fit and get in touch with nature.However, whether you are on the mountains, in the waves, or on the grassland, you should be aware that your sport of choice might have great influence on the environment. Some sports are resource-hungry. Golf, as you may know, eats up not only large areas of cou...
[ "it improves our health", "it is an outdoor sport", "it uses fewer resources", "it is recommended by experts" ]
C. it uses fewer resources
mmlu_train
arc_challenge_406
How many chromosomes are in a human sperm cell?
[ "12", "23", "46", "58" ]
B. 23
arc_challenge
aquarat_22884
Find the volume & curved surface area of a cylinder with diameter of base 14 cm and height 60 cm.
[ "260 cm2", "2610 cm2", "2600 cm2", "2640 cm2", "264 cm2" ]
D. 2640 cm2
aquarat
aquarat_39341
A can do a piece of work in 6 hours; B and C together can do it in 5 hours, while A and C together can do it in 3 hours. How long will B alone take to do it?
[ "3 6/8 hours", "4 6/8 hours", "2 6/8 hours", "5 5/8 hours", "none of the above" ]
A. 3 6/8 hours
aquarat
aquarat_49420
The ratio of cost price to the marked price of an article is 4 : 5. If the ratio of the profit percentage on selling the article to the discount allow ed on it is 5 : 4, w hat is the profit percentage?
[ "10%", "12%", "12.5%", "15%", "17%" ]
C. 12.5%
aquarat
mmlu_train_19820
The first step in exercising for most people is determining whether or not they should. This is particularly true with anyone over thirty-five, especially if they have been heavy smokers. Likewise, young adults who have been very inactive should proceed slowly and with caution. A physical evaluation from a physician is...
[ "a social worker", "a physician who is in charge of physical checkups", "any would-be sportsman", "anyone who wants to take up exercise" ]
D. anyone who wants to take up exercise
mmlu_train
mmlu_train_98617
Dozens in your workplace are sick with the flu. To protect yourself, you might
[ "inject yourself with deactivated elements of the illness", "inject yourself with a smallpox vaccine", "Inject yourself with a healthy person's blood", "inject yourself with morphine" ]
A. inject yourself with deactivated elements of the illness
mmlu_train
aquarat_12571
{8,4,6,5,3,12,7} What number should be inserted in the set of 7 values to get a median of 9?
[ "20", "14", "16", "5", "8" ]
B. 14
aquarat
mmlu_train_28421
Sometime in the next century, the familiar early-newspaper on the front porch will disappear. And instead of reading your newspaper, it will read to you. You'll get up and turn on the computer newspaper just like switching on the TV An electronic voice will distribute stories about the latest events, guided by a p...
[ "The technology is impossible now.", "Computer newspaper s are too expensive.", "The popularization of computers needs a long time.", "Traditional newspapers are easier to read." ]
C. The popularization of computers needs a long time.
mmlu_train
mmlu_train_42771
"Children should not be left unsupervised to play with a dog." say experts in this week's British Medical Journal. Their advice is part of a review aimed at doctors who deal with dog bites. "Dog bites and maulings are a worldwide problem, particularly in children." write Marina Morgan and John Palmer. Every year 250,...
[ "have direct eye contact", "approach an unfamiliar dog", "run or scream in the presence of a dog", "leave a dog feeding itself" ]
D. leave a dog feeding itself
mmlu_train
mmlu_train_26995
Scientists in Argentina have created the world's first cow to own two human genes that will enable it to produce human-like milk, which is matchless up to now. It is a breakthrough in the area of clone. Genetic engineering was used to introduce the "mothers' milk" genes into the animal before birth, according to the Na...
[ "are good for babies' health", "help provide more milk from cow", "can increase the production of milk", "can offer more proteins in cow milk" ]
A. are good for babies' health
mmlu_train
mmlu_train_95634
What do herbivores eat
[ "stick bugs", "radishes", "leaf beetles", "sea cucumbers" ]
B. radishes
mmlu_train
arc_easy_2071
Which of these groups contains single-celled organisms?
[ "birds", "plants", "fungus", "animals" ]
C. fungus
arc_easy
mmlu_train_48147
Ellen Parker was worried about her health. She could not walk very quickly and it was difficult for her to climb stairs. She was soon out of breath. "I suppose I had better go to the doctor," she thought. She went to the doctor and told him her problem. "I'm not at all surprised, "he said. "It's clear what your problem...
[ "She might put on more weight.", "She might stop eating too much.", "She might have a heart attack.", "She might go to another doctor." ]
C. She might have a heart attack.
mmlu_train
m1_pref_196
Consider a movie recommendation system which minimizes the following objective rac{1}{2} \sum_{(d,n)\in\Omega} [x_{dn} - (\mathbf{W} \mathbf{Z}^ op)_{dn}]^2 + rac{\lambda_w}{2} orm{\mathbf{W}}_ ext{Frob}^2 + rac{\lambda_z}{2} orm{\mathbf{Z}}_ ext{Frob}^2 where $\mathbf{W}\in \R^{D imes K}$ and $\ma...
[ "Feature vectors obtained in both cases remain the same.", "Feature vectors obtained in both cases are different.", "Feature vectors obtained in both cases can be either same or different, depending on the sparsity of rating matrix.", "Feature vectors obtained in both cases can be either same or different, de...
A. Feature vectors obtained in both cases remain the same.
m1_pref
mmlu_train_72271
I have seven bags. Three bags are big, and the other four bags are small. I have some basketballs and volleyballs. I put two volleyballs in each small bag. And I put two basketballs and two volleyballs in each big bag. The number of the volleyballs is my age. I have _ basketballs.
[ "six", "eight", "ten", "twelve" ]
A. six
mmlu_train
aquarat_13220
A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
[ "159 m", "167 m", "156 m", "100 m", "197 m" ]
D. 100 m
aquarat
aquarat_23541
A student travels from his house to school at 10 km/hr and reaches school 2 hours late. The next day he travels 16 km/hr and reaches school 1 hour early. What is the distance between his house and the school?
[ "70", "75", "80", "85", "90" ]
C. 80
aquarat
mmlu_train_4700
The brown fur of the arctic hare turns white in winter. How does this color change most likely help the arctic hare?
[ "It helps the animal save water.", "It helps the animal hide from predators.", "It helps keep the animal cool.", "It helps protect the animal from disease." ]
B. It helps the animal hide from predators.
mmlu_train
aquarat_42502
Ajith and Rana walk around a circular course 115 km in circumference, starting together from the same point. If they walk at speed of 4 and 5 kmph respectively, in the same direction, when will they meet ?
[ "after 20 hours", "after 115 hours", "after 115 minutes", "after 20 minutes", "after 30 minutes" ]
B. after 115 hours
aquarat
mmlu_train_30100
"Old wives tales" are beliefs passed down from one generation to another, For example, most of us remember our patents' telling us to eat more of certain foods or not to do certain things. Is there any truth in these teachings? Some of them agree with present medical thinking, but others have not passed the test of tim...
[ "So objective", "Objective", "Dissatisfied", "Curious" ]
B. Objective
mmlu_train
mmlu_train_35535
Mattie Stepanek died at the age of 13 from a rare disease called muscular dystrophy. Because of the disease, Mattie had to get around in a wheelchair, but it did not stop him from staying positive and inspiring others with his message of peace. As a best-selling author and role model, Mattie provided a voice for people...
[ "less likely to achieve dreams", "difficult to move his body", "eager to learn how to survive", "easy to be recognized" ]
B. difficult to move his body
mmlu_train
mmlu_train_44910
A kitchen that gives step-by-step cooking instructions in French could inspire a revolution in language learning in the UK. By using a new technology, it speaks to you as you prepare a French dish. The kitchen breaks new ground by taking language learning out of the classroom and linking it with an enjoyable and reward...
[ "It has versions in six languages now.", "It is already available for sale in the UK.", "It has received strong support from the EU.", "It can be used only in schools and university." ]
C. It has received strong support from the EU.
mmlu_train
mmlu_train_20543
The last five pounds. The vanity pounds. The dream weight. The fantasy weight. The high school weight. Yes, many names are given to the weight - the five pounds - that seems just out of reach no matter how much we exercise and improve our eating habits. But why is it out of reach? Is it all in our heads? Or is it beca...
[ "Encouraging.", "Critical .", "Supportive.", "Neutral ." ]
D. Neutral .
mmlu_train
arc_easy_1351
Which of the following remains constant in Earth's carbon cycle?
[ "the total mass of available carbon", "the way organisms use carbon", "the physical state of carbon-containing molecules", "the molecule in which a particular carbon atom is found" ]
A. the total mass of available carbon
arc_easy
mmlu_train_52019
A ban on smoking in public places has come into effect on May 1,2011 in China--home to one third of the world's smokers. The ban is aimed at controlling the number of deaths from smoking-related diseases, running at a million deaths a year.That figure is predicted to double by 2020.The new smoking ban is an attempt to ...
[ "one million a year", "two million a year", "three million a year", "four million a year" ]
B. two million a year
mmlu_train
arc_easy_16
Automobile engines built today are designed to be gas efficient. Gas-efficient engines most likely affect a city by reducing
[ "air pollution.", "heat pollution.", "noise pollution.", "light pollution." ]
A. air pollution.
arc_easy
aquarat_31466
A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?
[ "15 years", "11 years", "12 years", "18 years", "19 years" ]
C. 12 years
aquarat
arc_challenge_167
In an investigation, which of these procedures is most important in reaching a conclusion?
[ "classifying and sequencing methods", "evaluating and interpreting data", "developing multiple hypotheses", "predicting the most likely outcome" ]
B. evaluating and interpreting data
arc_challenge
mmlu_train_53640
Edward Wilson is America's, if not the world's, leading naturalist. In The Future of Life, he takes us on a tour of the world's natural resources. How are they used? What has been lost? What remains and is it able to continue with the present speed of use? Wilson also points out the need to understand fully the biodive...
[ "the environment for plants", "the biodiversity of our earth", "the waste of natural resources", "the importance of human values" ]
B. the biodiversity of our earth
mmlu_train
aquarat_2458
A can complete a work in 15days and B can do the same work in 7days. If A after doing 3days, leaves the work, find in how many days B will do the remaining work?
[ "2days", "5 1/2 days", "6 1/2 days", "7 1/2days", "10days" ]
B. 5 1/2 days
aquarat
aquarat_8104
It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she does yoga for 25 minutes, how much time will she...
[ "35 min", "5 min", "15 min", "25 min", "20 min" ]
D. 25 min
aquarat
aquarat_9667
In a circuit board factory, all circuit boards that pass a verification process are certified. Every board that fails the verification process is indeed faulty, but 1/8 of those that pass are also faulty. Approximately how many faulty circuit boards exist in a group of 800 circuit boards where 64 fail inspection?
[ "72", "192", "156", "256", "264" ]
C. 156
aquarat
mmlu_train_44752
One day, I happened to talk to a stranger on the bus. When he found out that I was from Chicago, he told me that one of his good friends lived there and he wondered if I happened to know him. At first I wanted to say that it was foolish to think like that, for from all the millions of people in Chicago, I could not...
[ "Four.", "Five.", "Six.", "Seven." ]
A. Four.
mmlu_train
mmlu_train_97061
If a tree is going to give its essence to another tree, it needs to use
[ "small creatures", "great stamina", "positive attitude", "mighty strength" ]
A. small creatures
mmlu_train
mmlu_train_59381
Speeding off in a stolen car, the thief thinks he has got a great catch.But he is in for an unwelcome surprise.The car is fitted with a remote immobilizer, and a radio signal from a control centre miles away will ensure that once the thief switches the engine off, he will not be able to start it again. The idea goes li...
[ "it takes a longer time for the car thief to do the stealing", "self-prepared tools are no longer enough for car theft[:&&]", "the thief has to make use of computer technology", "the thief has lost interest in stealing cars over 10 years old" ]
B. self-prepared tools are no longer enough for car theft[:&&]
mmlu_train
aquarat_36465
The ratio between the present ages of P and Q is 5:7 respectively. If the difference between Q's present age and P's age after 6 years is 2. What is the total of P's and Q's present ages?
[ "48 years", "65 years", "87 years", "20 years", "26 years" ]
A. 48 years
aquarat
mmlu_train_93600
Sandra puts some pill bugs into an open box. She covers half the box with a piece of cardboard. She then places the box outside on a summer day, and all the pill bugs move under the cardboard. The pill bugs are most likely responding to which of the following?
[ "air pressure", "bright light", "wind", "fog" ]
B. bright light
mmlu_train
mmlu_train_96334
What can be found on the lunar surface and has been there for thousands or millions of years?
[ "mountains", "cheese", "the lunar rover", "large lakes" ]
A. mountains
mmlu_train
aquarat_25302
How many numbers between 100 and 630 are divisible by 2, 3, and 7 together?
[ "112", "77", "267", "13", "99" ]
D. 13
aquarat
aquarat_35563
The average marks of 30 students in a class is 100. But a student mark is wrongly noted as 70 instead of 10 then find the correct average marks?
[ "A) 78", "B) 82", "C) 98", "D) 91", "E) 85" ]
C. C) 98
aquarat
mmlu_train_96769
Woody organisms that produce plants like oak tree seeds and leaves are a source of energy for
[ "decomposed waste", "consumers like deer", "other producers", "producer organisms" ]
B. consumers like deer
mmlu_train
arc_easy_1500
Which of the following materials would best slow the transfer of heat?
[ "aluminum", "copper", "glass", "wood" ]
D. wood
arc_easy
mmlu_train_31855
WASHINGTON--A baby born with the virus that causes AIDS appears to have been cured, scientists announced Sunday, describing the case of a child from Mississippi who's now 2.5 and has been off medication for about a year with no signs of infection. There's no evidence that shows that the child will remain healthy, altho...
[ "The doctor treated the baby with a three-drug mixture.", "The baby got unusual treatment within 30 hours of birth.", "Tests before birth showed the baby was infected with HIV.", "The mother was diagnosed with HIV when she gave birth." ]
C. Tests before birth showed the baby was infected with HIV.
mmlu_train
mmlu_train_45734
Monkeys , face to face DISCOVER magazine once reported on a curious event in the woods : a group of monkeys applied mud to their faces in order to keep away insects , but when they were done they seemed to have lost their ability to recognize each other ---two monkeys that were supposed to be friends even started fig...
[ "The social lives of monkeys.", "How monkeys tell each other apart.", "A comparison between the face patterns of monkeys and those of human beings.", "The different factors that determine monkeys' face patterns." ]
D. The different factors that determine monkeys' face patterns.
mmlu_train
aquarat_47181
If 7:13::301:x then the value of ‘x’ is:
[ "493", "537", "559", "587", "567" ]
C. 559
aquarat
aquarat_39659
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 48 years now, the son's age five years back was:
[ "14 years", "19 years", "33 years", "38 years", "39years" ]
B. 19 years
aquarat
aquarat_5494
During a special promotion, a certain filling station is offering a 8 percent discount on gas purchased after the first 10 gallons. If Kim purchased 20 gallons of gas, and Isabella purchased 25 gallons of gas, then Isabella‟s total per-gallon discount is what percent of Kim‟s total per-gallon discount?
[ "80%", "105%", "115%", "120%", "140%" ]
B. 105%
aquarat
arc_easy_685
When buried sediments are subjected to pressure, the mineral grains are squeezed together. What is the result of this action?
[ "volcanoes", "earthquakes", "new rock is formed", "layers rise to the surface" ]
C. new rock is formed
arc_easy
mmlu_train_27858
prefix = st1 /West Virginia--Public schools are using a dance video game to help get students in shape. In these schools, students are often told to turn off their video games and get some exercise. The schools have found a new way for their students to work out while playing a new video game. West Virginiais one of th...
[ "About one person in three West Virginians are overweight.", "Over weight may cause a lot of diseases.", "The problem of students'over weight has been realized.", "There are only 157 middle schools inWest Virginia." ]
D. There are only 157 middle schools inWest Virginia.
mmlu_train
aquarat_39200
A garage has a bin that is used by an "add stuff" worker and a "throw away" worker. Working alone, the "add stuff" worker can fill the bin in 5 hours. Working alone, the "throw away" worker can empty the bin in 15 hours. If it is desired that the bin should be filled, from empty, exactly 6 hours after the "add stuff" w...
[ "10:00am", "10:45am", "12:00pm", "12:30pm", "1:30pm" ]
D. 12:30pm
aquarat
aquarat_3585
In what time will a train 320 m long cross an electric pole, it its speed be 144 km/hr?
[ "2.5 sec", "8.0 sec", "3.5 sec", "2.9 sec", "9.5 sec" ]
B. 8.0 sec
aquarat
mmlu_train_98186
What is used to record images?
[ "sunlight", "calculators", "nikon devices", "camera batteries" ]
C. nikon devices
mmlu_train
aquarat_12550
If a boat goes 6 km upstream in 90 minutes and the speed of the stream is 3 kmph, then the speed of the boat in still water is
[ "12 kmph", "7 kmph", "14 kmph", "15 kmph", "None of these" ]
B. 7 kmph
aquarat
aquarat_13764
P can do piece of work in 30 days while Q alone can do it in 40 days. In how many days can P and Q working together do it?
[ "17 1/7", "18 1/7", "20 1/7", "22 1/7", "24 2/7" ]
A. 17 1/7
aquarat
mmlu_train_65596
Music is really powerful. Without music, movies would lose some of their attraction. No one disagree with the powerful effect music has on individuals. Whether this effect is positive or negative, however, often depends on the type of music listened to. And researches have shown that certain types of music own the abil...
[ "Strengthening one's body.", "Easing one's anxiety.", "Increasing one's memory.", "Improving children's brain development." ]
A. Strengthening one's body.
mmlu_train
mmlu_train_86376
A sunflower is a sunflower. A mobile phone is a mobile phone. But can you combine the two to do something for your local environment? As early as next year it may well be possible. When you have finished with your mobile phone you will be able to bury it in the garden and wait for it to flower . A biodegradable mob...
[ "the technology that produces mobile phones is changing quickly", "users are constantly throwing their mobiles away", "nobody has ever thought of recycling mobile phones", "producing mobile phones uses a lot of energy, so this has become a very big problem for the environment" ]
B. users are constantly throwing their mobiles away
mmlu_train
arc_easy_1216
Which of these cell parts contain instructions for the passage of traits from one generation to the next?
[ "cell membrane", "Golgi apparatus", "chromosomes", "endoplasmic reticulum" ]
C. chromosomes
arc_easy
m1_pref_248
Consider a source $S$ with some distribution $P_S$ over the alphabet $\mathcal{A} = \{a, b, c, d, e, f\}$. Bob designs a uniquely decodable code $\Gamma$ over a code alphabet $\mathcal{D}$ of size $D$ with following codeword lengths. egin{center}egin{tabular}{ |c|c|c|c|c|c|c| } \hline& $a$ & $b$ & $c$ & $d$ & $e$ & $...
[ "The average codeword length of the code is necessarily greater than or equal to $H_D(S)$.", "$\\Gamma$ can be a binary code, i.e., $D$ can be $2$.", "There exists a distribution $P_S$ such that the average codeword length of $\\Gamma(\\cdot)$ is equal to $H_D(S)$." ]
A. The average codeword length of the code is necessarily greater than or equal to $H_D(S)$.
m1_pref
aquarat_20218
The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
[ "80,70 kmph", "80,40 kmph", "10,40 kmph", "80,80 kmph", "84,40 kmph" ]
B. 80,40 kmph
aquarat
aquarat_39639
The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
[ "75", "72", "30", "80", "50" ]
A. 75
aquarat
aquarat_33046
What is the probability of getting a number less than 4 when a die is rolled?
[ "1/2", "4/7", "1/6", "4/7", "5/12" ]
A. 1/2
aquarat
mmlu_train_32931
Hello! My name is Lisa, and I am a lioness. I live on the open grasslands of Africa with my family. Lions living in a group are called a pride. My father is strong and powerful. He and his cousin are the leaders of our pride. The other members are my mother, her sisters, and their children. The area where a pride lives...
[ "hunts more often than his sisters", "will have spots on his fur for the whole of his life", "will leave his birth pride when he is about three", "will take over his birth pride when his father dies" ]
C. will leave his birth pride when he is about three
mmlu_train
arc_challenge_219
Scientists conduct investigations to answer questions. Before making a valid conclusion, scientists must
[ "collect relevant evidence", "tell people about the data", "publish results from the investigation", "discuss the investigation with other scientists" ]
A. collect relevant evidence
arc_challenge
aquarat_9850
Of the seven-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two?
[ "24", "36", "72", "152409600", "216" ]
D. 152409600
aquarat
aquarat_16361
A vendor sold two things at same cost of 15 RS with one item at 25%profit and other at 20%loss,by this transaction he made profit or loss by how much
[ "0.65 loss", "0.75 loss", "0.80 loss", "0.55 loss", "0.40 loss" ]
B. 0.75 loss
aquarat
aquarat_21092
If a: b = 3:4, b:c = 7:9, c:d = 5:7, find a:d?
[ "5:12", "7:12", "3:11", "5:11", "None of these" ]
A. 5:12
aquarat
arc_easy_1100
Which has the greatest effect on aiding the movement of blood through the human body?
[ "tension", "friction", "density", "gravity" ]
D. gravity
arc_easy
mmlu_train_73823
Most of us probably live without vegetables, but a world without chocolate? Now that would be hard! According to chocolate makers it could happen if we don't act soon. There are two main causes of the chocolate shortage --- chocolate's growing popularity and less production of cocoa, the plant from which chocolate is m...
[ "To introduce cocoa production to more countries.", "To provide more chocolate for British people.", "To produce stronger types of cocoa plants.", "To make sure that cocoa is healthy to eat." ]
C. To produce stronger types of cocoa plants.
mmlu_train
mmlu_train_33180
A sick little girl is being kept alive thanks to her best friend -- a dog who carries her oxygen tank on his back. Alida's faithful dog companion Mr Gibbs has been specially trained to shepherd the three-year-old, who breathes through a tube most of the time. He follows her closely as she plays in her family's ten-acre...
[ "By training her dog.", "By staying with her parents.", "By playing with her fellows.", "By breathing through a tube." ]
D. By breathing through a tube.
mmlu_train
aquarat_40778
The average weight of 29 students is 28 kg. By the admission of a new student, the average weight is reduced to 27.1 kg. The weight of the new student is
[ "22 kg", "1 kg", "22.4 kg", "21 kg", "None of these" ]
B. 1 kg
aquarat
aquarat_4019
The largest 4 digit number exactly divisible by 55 is?
[ "9935", "9939", "9944", "9955", "9960" ]
D. 9955
aquarat
mmlu_train_48848
Most teenagers in the United States spend their time trying to make time for school,family and friends.But some choose bigger goals. At age 15,Winter Vinecki has already had more successes than most people have in their lifetime."I recently completed a marathon on all seven continents and became the youngest person in ...
[ "about 5 years ago", "not long ago this year", "only 10 months ago", "when she was about 15" ]
A. about 5 years ago
mmlu_train
aquarat_17046
The ratio of 2 numbers is 2:7 and their H.C.F. is 18. Their L.C.M. is ?
[ "252", "243", "521", "361", "600" ]
A. 252
aquarat
arc_easy_254
If a scientist wants the medical community to revise old information and use new research findings in the treatment of a disease, it would be best to present the information
[ "at a school science fair.", "in a newspaper article.", "at a physicians' conference.", "in a television commercial." ]
C. at a physicians' conference.
arc_easy
aquarat_48562
A pipe takes a hours to fill the tank. But because of a leakage it took 4 times of its original time. Find the time taken by the leakage to empty the tank
[ "50 min", "60 min", "90 min", "80 min", "70 min" ]
D. 80 min
aquarat
aquarat_49324
If a refrigerator contains 12 cans such that there are 7 blue cans and 5 red cans. In how many ways can we remove 8 cans so that at least 1 blue can and 1 red can remains in the refrigerator.
[ "452", "453", "454", "455", "456" ]
D. 455
aquarat
mmlu_train_55548
Baths and bathing have long been considered of medical importance to man. In Greece there are the ruins of a water system for baths built over 3,000 years ago. The Romans had warm public baths. In some baths, as many 3,000 persons could bathe at the same time. Treating disease by taking bathing has been popular for cen...
[ "ruin one's business", "cause disease", "drive customers away", "cause good health" ]
B. cause disease
mmlu_train
mmlu_train_4898
A student sets a block at the top of a wooden ramp. The student pushes the block. As the block slides down the ramp, it slows down and then comes to a stop. What force causes the block to slow down?
[ "the force of gravity", "the force of friction", "the force of magnetism", "the force of the student's push" ]
B. the force of friction
mmlu_train
mmlu_train_98942
Which requires an outlet?
[ "cold iced tea", "usb tape player", "frothy beer", "blowing leaves" ]
B. usb tape player
mmlu_train
aquarat_3959
Find the HCF of 2/3,4/6,8/27
[ "2/27", "8/3", "2/3", "2/27", "1/7" ]
A. 2/27
aquarat
m1_pref_201
Which of the following probability distributions are members of the exponential family:
[ "Cauchy distribution: $p(y|y_0,\\gamma) = \frac{1}{\\pi \\gamma [1 + (\frac{y-y_0}{\\gamma})^2]}$.", "Poisson distribution: $p(y|\\mu) = \frac{e^{-y}}{y!}\\mu^y$.", "Uniform distribution over $[0,\\eta], \\eta>0$: $p(y|\\eta) = \frac{1}{\\eta} 1_{y \\in [0,\\eta]}$." ]
C. Uniform distribution over $[0,\eta], \eta>0$: $p(y|\eta) = rac{1}{\eta} 1_{y \in [0,\eta]}$.
m1_pref