question stringlengths 1 5.01k | choices listlengths 4 4 | answer stringclasses 4
values | support stringlengths 0 3.68k | source stringclasses 3
values |
|---|---|---|---|---|
An Olympic diver received the following scores: 4, 3, 5, 2. The standard deviation of her scores is in which of the following ranges? | [
"1.01 to 1.99",
"4.01 to 4.99",
"3.01 to 3.99",
"2.01 to 2.99"
] | A | 4+3+7+2/4=4
∣4−4∣^2 =0^2 = 0
∣3−4∣^2 =1^2 = 1
∣7−4∣^2 =3^2 = 9
∣2−4∣^2 =2^2 = 4
sqrt 14/4 =1.87
Answer : B | AquaRat_train |
Steve's ears alerted him to something. It was | [
"the taste of his lunch",
"waves in the air",
"the light streaming through the window",
"the feeling of his hair on his neck"
] | B | MMLU_train | |
Photoautotrophs including (a) plants, (b) algae, and (c) cyanobacteria synthesize their organic compounds via photosynthesis using sunlight as this? | [
"heating source",
"light source4",
"energy source",
"fuel source"
] | C | Figure 8.2 Photoautotrophs including (a) plants, (b) algae, and (c) cyanobacteria synthesize their organic compounds via photosynthesis using sunlight as an energy source. Cyanobacteria and planktonic algae can grow over enormous areas in water, at times completely covering the surface. In a (d) deep sea vent, chemoaut... | SCiQ_train |
The speed of a boat in upstream is 80 kmph and the speed of the boat downstream is 120 kmph. Find the speed of the boat in still water and the speed of the stream? | [
"21 kmph.",
"28 kmph.",
"25 kmph.",
"20 kmph."
] | D | Speed of the boat in still water = (80+120)/2 = 100 kmph. Speed of the stream
= (120-80)/2
= 20 kmph.
Answer:C | AquaRat_train |
Systems are in thermal equilibrium when they have the same of what measurement? | [
"temperature",
"oxygen",
"density",
"mass"
] | A | T ºF = 9 T ºC + 32 5 5 T ºC = ⎛⎝T ºF − 32⎞⎠ 9 T K = T ºC + 273.15 T ºC = T K − 273.15 • Systems are in thermal equilibrium when they have the same temperature. • Thermal equilibrium occurs when two bodies are in contact with each other and can freely exchange energy. • The zeroth law of thermodynamics states that when ... | SCiQ_train |
Convert the following unit:
5 hectares in m² | [
"70000 m²",
"40000 m²",
"55000 m²",
"50000 m²"
] | D | 5 hectares in m²
1 hectare = 10000 m²
Therefore, 5 hectares = 5 × 10000 m²
= 50000 m²
ANSWER : OPTION A | AquaRat_train |
A current in a circuit needs a complete what? | [
"speed",
"path",
"cause",
"stream"
] | B | Electromagnetic waves generally propagate out from a source in all directions, sometimes forming a complex radiation pattern. A linear antenna like this one will not radiate parallel to its length, for example. The wave is shown in one direction from the antenna in Figure 24.7 to illustrate its basic characteristics. I... | SCiQ_train |
How many valence electrons does a sodium atom have ? | [
"two",
"one",
"three",
"six"
] | B | A: Any element in group 1 has just one valence electron. Examples include hydrogen (H), lithium (Li), and sodium (Na). Any element in group 18 has eight valence electrons (except for helium, which has a total of just two electrons). Examples include neon (Ne), argon (Ar), and krypton (Kr). Oxygen, like all the other el... | SCiQ_train |
Have you ever asked yourself why you have two eyes instead of one, three, or even hundreds as some insects have? Have you wondered why your eyes are set close together on the front of your face rather than on the sides of your head, as on animals like rabbits, antelopes, and horses? The reasons are simple -- and import... | [
"textbook about animal behavior",
"popular science or health magazine",
"professional magazine for doctors",
"newspaper's local news section"
] | C | MMLU_train | |
Scientists have written a report on the future of trade and industry. They talk about the role robots will play in industry. What is a robot?Basically ,it is a machine which is designed to do the work of a human being. It is usually controlled by a computer. Once it has been given a set of things to do,it will do the j... | [
"The Development of Robots",
"The Use of Robots",
"The Robots in the Future",
"Robot Industry"
] | B | MMLU_train | |
If the reciprocals of two consecutive positive integers are added together, what is the sum in terms of the greater integer d? | [
"(2d-1)/(d^2- d)",
"(3d-1)/(d^2- d)",
"(2d-1)/(d^4- d)",
"2d-1"
] | A | Let two consecutive positive integers be d and d-1 (Greater integer is d)
So,
(1/d) + [1/(d-1)]
= (2d-1)/d(d-1)
=(2d-1)/(d^2- d)
Answer : E | AquaRat_train |
According to a survey, only 4% of the people in the world are left-handed. Why? One theory centers on the two halves of the brain. For example, the left half and the right half, each of which functions differently. Medical science believes that the left half of the brain dominates over the right half. The foundation of... | [
"Left-handed people are better at speaking",
"Left-handed people are believed to have stronger left halves of the brains",
"Right-handed people are cleverer than left-handed people",
"Right-handed people work best with the right side of their bodies"
] | D | MMLU_train | |
In what unit is heat measured in? | [
"thermals",
"velocities",
"joules",
"amperes"
] | C | The heat that is either absorbed or released is measured in joules. The mass is measured in grams. The change in temperature is given by , where is the final temperature and is the initial temperature. | SCiQ_train |
Sandy bought 65 books for $1280 from one shop and 55 books for $880 from another shop. What is the average price that Sandy paid per book? | [
"$12",
"$18",
"$20",
"$14"
] | B | average price per book = (1280 + 880) / (65 + 55) = 2160 / 120 = $18
The answer is D. | AquaRat_train |
How many more times likely are men to suffer from iron overload? | [
"twenty times",
"eight times",
"two times",
"ten times"
] | D | SCiQ_train | |
The simple interest on a sum of money will be Rs.400 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year? | [
"1200",
"2261",
"2771",
"800"
] | D | P --- 10 ---- 400
P --- 5 ----- 200
3P --- 5 ----- 600
------
=> 800
Answer: D | AquaRat_train |
What number is obtained by adding the units digits of 734^99 and 347^82? | [
"13",
"11",
"12",
"14"
] | A | The units digit of 734^99 is 4 because 4 raised to the power of an odd integer ends in 4.
The units digit of 347^82 is 9 because powers of 7 end in 7, 9, 3, or 1 cyclically. Since 82 is in the form 4n+2, the units digit is 9.
Then 4+9 = 13.
The answer is D. | AquaRat_train |
(a/2)/(b/c)
In the expression above, a, b, and c are different numbers and each is one of the numbers 1, 2, or 4. What is the largest possible value of the expression? | [
"1/8",
"8/2",
"2/4",
"4/6"
] | B | (a/2)/(b/c)
= (a*c)/2b
The expression will have the largest value when numerator (a*c) is the largest.
= (2*4)/2*1
=8/2
Answer A | AquaRat_train |
Which of the following is equal to 3.14 x 10^6) ? | [
"31400",
"3140000",
"314000",
"314"
] | B | = 3.14 x 10^6
= 3.14 x 1000000
= 3140000.
Answer is B. | AquaRat_train |
Which energy conversion happens when a person shivers and the energy is transferred to make the muscles and joints move? | [
"kinetic energy to potential energy",
"heat energy to kinetic energy",
"potential energy to chemical energy",
"chemical energy to mechanical energy"
] | D | MMLU_train | |
Most animals have little connection with animals of a different kind, unless they hunt them for food. Sometimes, however, two kinds of animals come together in a partnership which does good to both of them. You may have noticed some birds sitting on the back of sheep. This is not because they want a ride, but because ... | [
"comfort",
"light",
"oxygen",
"food"
] | C | MMLU_train | |
According to the periodic table, all of the following are metals except | [
"sodium",
"zinc",
"fluorine",
"calcium"
] | C | MMLU_train | |
What is the process when animals maintain an internal temperature? | [
"osmoregulation",
"bioaccumulation",
"thermoregulation",
"homeostasis"
] | C | SCiQ_train | |
We see with our eyes and taste with our tongues. Ears are for hearing, skin is for feeling and noses are for smelling. Would anyone say that ears can smell, or that tongues can see? Actually, yes. Paul Bach-y-Rita, a scientist at the University of Wisconsin, believes that the senses can changeable. For example, a tongu... | [
"Senses Are Important",
"An Interesting Experiment",
"A Famous Scientist",
"Senses Are Changeable"
] | D | MMLU_train | |
Ram and Krishna start from A and B respectively at the same time and travel towards each other at constant speeds along the same route. Ram meets Krishna at point C on the road which is 1000m away from starting point A and 500m away from point B. The time taken by Ram to reach point B is 10minutes. Find the time taken ... | [
"35 minutes",
"52 minutes",
"50 minutes",
"45 minutes"
] | C | total distance from A to B-
A - C = 1000m, B - C = 500m;
therefore A-B = 1500m;
Vr=1500/25=60 m/m;
t-time taken by Ram for AB meet,
t=1000/60=16.67 minutes = Time taken by Krishna for AB meet.
therefore,
Vk=500/16.67=30m/m.
time taken by krishna for B-A = 1500/30 =50 minutes
option C | AquaRat_train |
Have you seen Jurassic Park? In this film, scientists use DNA kept for tens of millions of years to clone dinosaurs. They find trouble, however, when they realize that the cloned creatures are smarter and more dangerous than expected. That's nothing more than a fiction. But could we really clone endangered animals? To ... | [
"some extinct species may be cloned, but not survive",
"extinct species may be cloned and easily survive",
"a gaur can have a monkey as a surrogate mother",
"all the extinct species may be cloned"
] | A | MMLU_train | |
In a certain lottery drawing, two balls are selected at random from a container with 200 balls, numbered from 1 to 200, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the c... | [
"$1.05 x 10^7",
"$3.98 x 10^7",
"$9.90 x 10^6",
"$9.85 x 10^6"
] | B | The max product of any two balls can be 199 * 200 = 3.98*10^4
If you multiply it by $1000 the max amount will be 3.98 * 10^7. .
Answer: C | AquaRat_train |
If Henry were to add 4 gallons of water to a tank that is already 3/4 full of water, the tank would be 7/8 full. How many gallons of water would the tank hold if it were full? | [
"96",
"40",
"64",
"32"
] | D | 7/8x-3/4x=4galls
1/8*x=4gallons
x=32 gallons
Answer A | AquaRat_train |
Word Power Author(s): Kaplan $13.95 You'll never be at a loss for words again. Energize your vocabulary with must-know everyday words that are the essentials of a good vocabulary, engaging lessons to help you use words in text, hot words often found on tests, tips to help you figure out new words, roots, and more. ... | [
"Word Power",
"Grammar Smart Junior",
"Word Smart Junior",
"Grammar Smart: An Audio Guide to Perfect Usage"
] | C | MMLU_train | |
What are the last two digits of 63*35*37*82*71*41*53? | [
"30",
"10",
"80",
"70"
] | C | We know that to find the last two digits, we need to find the remainder we get when we divide the product by 100.
Remainder of (63*35*37*82*71*41)/ 100
Note that we can simplify this expression by canceling out the 5 and 2 in the numerator and denominator. But before we do that, here is an important note:
Note: We cann... | AquaRat_train |
Mammoths, close genetic relatives of modern elephants, are believed to have gone extinct due to hunting by humans and what factor? | [
"climate change",
"earthquakes",
"migration change",
"volcanic eruptions"
] | A | It's easy to get lost in the discussion of dinosaurs and theories about why they went extinct 65 million years ago. Was it due to a meteor slamming into Earth near the coast of modern-day Mexico, or was it from some long-term weather cycle that is not yet understood? One hypothesis that will never be proposed is that h... | SCiQ_train |
What is a wall of rocks or concrete called? | [
"foot",
"knee",
"groin",
"ankle"
] | C | Longshore drift can erode the sediment from a beach. To keep this from happening, people may build a series of groins. A groin ( Figure below ) is wall of rocks or concrete. The structure juts out into the ocean perpendicular to the shore. A groin stops the longshore movement of sand. Sand collects on the up-current si... | SCiQ_train |
What is the concentration of gas molecules in the mesosphere? | [
"very low density",
"high density",
"medium density",
"low density"
] | A | The mesosphere has a very low density of gas molecules. | SCiQ_train |
The word fungus comes from the latin word for what? | [
"spore",
"mushroom",
"vegetable",
"mold"
] | B | Introduction The word fungus comes from the Latin word for mushrooms. Indeed, the familiar mushroom is a reproductive structure used by many types of fungi. However, there are also many fungi species that don't produce mushrooms at all. Being eukaryotes, a typical fungal cell contains a true nucleus and many membrane-b... | SCiQ_train |
All our food comes from the soil . Some of us eat meat, but animals live on plants. If there are no plants, we will have no animals and meat. So the soil is necessary for us to live. The top of ground is usually covered with grass or other plants. Plants grow in soil, which has a dark color. This dark soil is humus. De... | [
"not helpful",
"necessary",
"not important",
"harmful"
] | B | MMLU_train | |
What do all chemical sections need to get started? | [
"speed",
"energy",
"pressure",
"work"
] | B | The bonds between the atoms need to be rearranged. That is the definition of a chemical reaction. And all chemical sections need energy to get started. | SCiQ_train |
A calf that dies will eventually | [
"disintegrate",
"fall",
"starve",
"wrinkle"
] | A | MMLU_train | |
A person running away from an attacking black bear will note that as they run faster, the bear | [
"looks minuscule",
"looks average",
"looks bigger",
"looks younger"
] | A | MMLU_train | |
The volume of a gas is comprised of about 10% matter. what is the rest? | [
"instead space",
"open space",
"normal space",
"empty space"
] | D | The volume of a gas contains only about 10% matter, with the rest being empty space. ΔHsub is equal to ΔHvap. | SCiQ_train |
What is the term for geological activity that occurs within a plate? | [
"intraplate activity",
"perennials activity",
"disruption activity",
"deformation activity"
] | A | Not all geological activity is found at plate boundaries. Activity within a plate is called intraplate activity. Most intraplate activity occurs at hotspots. | SCiQ_train |
Muscles and skin are examples of what, consisting of specialized cells? | [
"ligaments",
"tissues",
"layers",
"molecules"
] | B | SCiQ_train | |
What is the process by which wind blows to make the ground surface gets lower and rockier ? | [
"stagnation",
"layering",
"inflation",
"deflation"
] | D | Wind blows small particles away. As a result, the ground surface gets lower and rockier; this is called deflation . The rocks that are left are called desert pavement . Desert pavement is a surface covered by gravel-sized particles that are not easily moved by wind. | SCiQ_train |
What stimulates the changes of pubery? | [
"parenting",
"sex education",
"sex hormones",
"mutation"
] | C | The gonads are glands that secrete sex hormones. Male gonads are called testes. They secrete the male sex hormone testosterone. The female gonads are called ovaries. They secrete the female sex hormone estrogen. Sex hormones stimulate the changes of puberty. They also control the production of sperm or eggs by the gona... | SCiQ_train |
What will come in place of the x in the following number series? 1, 4, 10, 22, 46, x | [
"84",
"104",
"94",
"92"
] | C | 1
1 × 2 + 2 = 4
4 × 2 + 2 = 10
10 × 2 + 2 = 22
22 × 2 + 2 = 46
46 × 2 + 2 = 94 C | AquaRat_train |
What are the most common types of compounds found on earth? | [
"hydrogen-based compounds",
"sodium - based compounds",
"carbon-based compounds",
"ionic compounds"
] | C | Cellulose is a compound found in plants. The chief component of cellulose is carbon. Cellulose is one of many carbon-based compounds that make up living things. In fact, carbon-based compounds are the most common type of compound on Earth. More than 90 percent of all known compounds contain carbon. Do you know why carb... | SCiQ_train |
Human beings have a natural desire to explore the unknown. People with a strong interest in space like to say it is the last place left to explore. But scientists are warning that space exploration for long periods is not going to be easy. They say the human body is not designed to stay in space over an extended period... | [
"Long periods in space will affect the health of astronauts.",
"Scientists are trying to find out how to protect astronauts.",
"Space is dangerous to human beings.",
"People shouldn't explore space."
] | A | MMLU_train | |
In a shop, 40% socks are white and rest are black. 60% socks are made of cotton and rest are made of wool. 25% white socks are made of cotton and 20 of the black socks are made of wool. How many black socks C are made of cotton? | [
"100",
"25",
"80",
"60"
] | A | I'll prefer to solve this with plug n play method.
As we know, White Cotton socks are only 25% and Total Cotton socks is 60% - Hence Black Cotton socks C has to be [highlight]HIGH[/highlight]number. Thats why we've to pick high number... say 100 or 80.
100 fits perfectly after relevant calculations. Hence answer A. | AquaRat_train |
March Break Leadership Camp The aim of this FREE program is to develop an awareness of race relations, diversity, an equal issue for students in Grades 6-8. Place: The Central Library Room Time: March 16&17, 2009 from 9:00 am to 3:00 pm Pick up and hand in registration forms at the Central Library. All forms must be h... | [
"register for each session a month in advance",
"find other students to form a group",
"go to the library to register by yourself",
"own a valid Public Library card"
] | D | MMLU_train | |
The following mathematical expressions represent four different concentrations of a chemical solution to be used in a science experiment. Which one is equal in magnitude to 1/1000? | [
"1.0 x 10^3",
"1.0 x 10^4",
"1.0 x 10^-3",
"1.0 x 10^-4"
] | C | MMLU_train | |
Nuclear radiation has a certain mystery, partly because it cannot be detected by human senses. It can't be seen or heard, or touched or tasted, even though it may be all around us. There are other things like that. For example, radio waves are all around but we can't detect them or sense them without a radio receiver.... | [
"when it kills a few cells",
"if it damages a few cells",
"though the damaged cells can repair themselves",
"unless the damaged cells can reproduce themselves"
] | B | MMLU_train | |
For arranging a picnic, each student contributed an amount equal to the number of students while the teacher contributed an amount equal to twice the number of students. However, if each student would have contributed an amount equal to twice the number of students and the teacher would have contributed an amount equal... | [
"33",
"Cannot be determined",
"25",
"24"
] | A | Explanation:
Let the number of students = x. Thus, we get,
[(2x2 + x) – (x2 + 2x)] = 1056
x2 - x - 1056 = 0
Solving the equation, we get, x = 33 or x = - 32.
Since the number of students are to be positive, number of students = x = 33
ANSWER: C | AquaRat_train |
What consists of the different species within an area? | [
"science community",
"contamination community",
"biological community",
"abundant community"
] | C | Community Ecology A biological community consists of the different species within an area, typically a three-dimensional space, and the interactions within and among these species. Community ecologists are interested in the processes driving these interactions and their consequences. Questions about conspecific interac... | SCiQ_train |
Before 7 years, dog A’s age was 4 times of dog B’s age and after 4 years, dog A’s age will be 3 times of dog B’s age. What is the difference of dog A’s age and dog B’s now? | [
"36",
"70",
"60",
"42"
] | B | A - 7 = 4(B - 7) --> A - 4B = -21.............1
A + 4 = 3(B + 4) --> A - 3B = 8.............2
(2) - (1) --> B = 29 --> A =3(22)=99
A - B = 99 - 29 = 70
Answer: E | AquaRat_train |
A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, with 17 balls per box. If 94 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed? | [
"2",
"1",
"3",
"0"
] | B | There is no way to store 94 balls without leftovers: 94−0∗25=94- 94−2∗25=44 ,94−3∗25=19 are not divisible by 17
.93 balls can be stored successfully: 93−1∗25=68 is divisible by 17. Thus, 93=1∗25+4∗17 and we need 1 big box and 4 small boxes.
Answer: B | AquaRat_train |
BUKHANNON, West Virginia--Two rescue teams slowly moved along a two-mile path on Monday night to the site of a coal mine explosion that trapped 13 miners, who had not been heard from since the early morning accident. Meanwhile, at a nearby church, more than 250 family members and friends gathered, waiting for updates o... | [
"1,000 feet",
"2,400 feet",
"1,200feet",
"4,800feet"
] | C | MMLU_train | |
The flying fox is not a fox at all. It is an extra large bat that has got a fox's head, and that feeds on fruit. Like all bats, flying foxes hang themselves by their toes when at rest, and travel in great crowds when out flying. A group will live in one place for years. Sometimes several hundreds of them occupy a sin... | [
"to occupy the best resting places",
"only when it is dark",
"to protect their homes from outsiders",
"when there is not enough food"
] | A | MMLU_train | |
There is a girl. Her name is Chen Rong. She's a student in Grade Four at Jiajiao Primary School in Chongqing. Teachers and students all like her, because this eleven-year-old girl studies very well and she is very diligent . Every day she is the first one to come to the classroom and clean the classroom. At home Che... | [
"hands",
"ears",
"eyes",
"arms"
] | C | MMLU_train | |
What is the evolutionary history of a group of related organisms called? | [
"ancestry",
"superfamily",
"phylogeny",
"lineage"
] | C | Linnaeus classified organisms based on obvious physical traits. Basically, organisms were grouped together if they looked alike. After Darwin published his theory of evolution in the 1800s, scientists looked for a way to classify organisms that showed phylogeny. Phylogeny is the evolutionary history of a group of relat... | SCiQ_train |
Long distance runners try to maintain constant velocity with very little acceleration or deceleration to conserve what? | [
"pressure",
"fuel",
"momentum",
"energy"
] | D | Long distance runners try to maintain constant velocity with very little acceleration or deceleration to conserve energy. | SCiQ_train |
What structure of a cell is enclosed by a membrane and contains most of the cell’s dna? | [
"vacuole",
"epidermis",
"nucleus",
"ribosome"
] | C | Besides the four parts listed above, many cells also have a nucleus. The nucleus of a cell is a structure enclosed by a membrane that contains most of the cell’s DNA. Cells are classified in two major groups based on whether or not they have a nucleus. The two groups are prokaryotic cells and eukaryotic cells. | SCiQ_train |
A wasp uses poison in a stinger to | [
"produce eggs.",
"defend itself.",
"build a nest.",
"attract a mate."
] | B | MMLU_train | |
Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 155 per Kg , the price of the third variety per Kg will be? | [
"Rs. 785.50",
"None of these",
"Rs. 258.50",
"Rs. 177.50"
] | D | Explanation :
Since first and second varieties are mixed in equal proportions.
So, their average price =Rs. (126+135)/2.
=>Rs. 130.50.
So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1.
We have to find x.
By the rule of alligat... | AquaRat_train |
what is the smallest number should be added to 5377 so that the sum is completely divisible by 7? | [
"6",
"2",
"4",
"1"
] | A | Solution: Divide 5377 with 7 we get remainder as 1. so, add 6 to the given number so that it will divisible by 7.
Answer C | AquaRat_train |
What two elements primarily make up the sun? | [
"oxygen and hydrogen",
"hydrogen and helium",
"nitrogen and argon",
"calcium and helium"
] | B | The Sun is made almost entirely of the elements hydrogen and helium. The Sun has no solid material. Most atoms in the Sun exist as plasma . Plasma is superheated gas with an electrical charge. Because the Sun is made of gases, it does not have a defined outer boundary. Like Earth, the Sun has an internal structure. The... | SCiQ_train |
If an item that originally sold for A dollars was marked up by x percent and then discounted by M percent, which of the following expressions represents the final price of the item? | [
"(10,000z + 100z(y – x) – xyz)/10,000",
"(100z(x – y) – xyz)/10000",
"(A+ Ax/100) - M/100 ( A +Ax/100)",
"(10,000z + 100z(x – y) – xyz)/10,000"
] | C | value of item =A ..marked up by x% = Ax/100
total value = A +ax/100 .discounted by L% on Total M/100 * ( A+Ax/100)
Final price =(A+ Ax/100) - M/100 ( A +Ax/100)
D | AquaRat_train |
The average number of shirts with Salman, Ambani and Dalmiya is 60, if all of them reached a shopping mall in Delhi and purchased 4 shirts each of them then average number of shirt each of them now has | [
"64",
"61",
"63",
"66"
] | A | Required average
= Old average + New average
= 60 + 4 = 64
answer :D | AquaRat_train |
A two-digit number is seven times the sum of its digits. If each digit is increased by 2, the number thus obtained is 4 more than six times the sum of its digits. Find the number. | [
"24",
"42",
"48",
"None of these"
] | B | Let the two-digit number be l0 x + y.
10x + y = 7(x + y) Þ x = 2y...(i)
10(x + 2) + y + 2 = 6(x + y + 4) +4
or 10x + y + 22 = 6x + 6y + 28 Þ 4x – 5y = 6 ... (ii)
Solving equations (i) and (ii), we get x = 4 and y = 2
Answer A | AquaRat_train |
A train of 30 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long? | [
"3.3",
"6",
"2",
"4"
] | A | D = 30 * 60 + 1500 = 3300 m
T = 3300/60 * 18/5 = 198 sec = 3.3 mins
Answer:B | AquaRat_train |
When you buy cooking oil in the supermarket, you may notice that some brands are labeled as "GM (genetically modified)-free". So, what is genetic modification? Are GM foods safe? These questions have been put back into the spotlight recently. On Nov 19, the Food and Drug Administrati0n (FDA) in the US announced that it... | [
"All food with GM content must be labeled in European countries.",
"In the US, the AquAdvantage salmon will have to be labeled as GM food.",
"In France or Germany, every GM food that is about to go on the market must be reported at least 120 days before release.",
"In China, all food that is made from GM crop... | D | MMLU_train | |
Air flows into the lungs largely due to a difference in what? | [
"pressure",
"resistance",
"thrust",
"gravity"
] | A | Pulmonary Ventilation The difference in pressures drives pulmonary ventilation because air flows down a pressure gradient, that is, air flows from an area of higher pressure to an area of lower pressure. Air flows into the lungs largely due to a difference in pressure; atmospheric pressure is greater than intra-alveola... | SCiQ_train |
Find the third proportional to 2 and 8? | [
"10",
"20",
"36",
"32"
] | D | Formula = Third proportional = (b × b)/a
A = 2 and B = 8
(8 x 8 )/ 2 = 64/2 = 32
B | AquaRat_train |
Walking is so simple and convenient that it couldn't possibly count as exercise, right? Wrong. Study after study shows that regular walking can help you lose weight and reduce your risk of heart disease. The study published in Diabetes Research in Clinical Practice shows that the blood pressure of the overweight men b... | [
"To help reduce your blood pressure.",
"To help reduce your risk of heart disease.",
"To help your body lose fat.",
"To help your heart rate change gradually."
] | D | MMLU_train | |
The length of the bridge, which a train 180 meters long and travelling at 45 km/hr can cross in 30 seconds, is? | [
"167",
"195",
"288",
"261"
] | B | Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (180 + X)/30 = 25/2 ==> 2(180 + X) = 750 ==> X = 195 m.
Answer: C | AquaRat_train |
Platinum and gold are useful materials for constructing circuits because of their ability to resist what? | [
"decomposition",
"Electricity",
"oxidation",
"nitrogen"
] | C | If something is MULTIcolored, it has many colors. | SCiQ_train |
People typically wash their hands seven times a day in the United States, but they do it at a far higher temperature than is necessary to kill germs , a new study says. The energy waste is equivalent to the fuel use of a small country. Amanda R. Carrico, a research assistant professor at the Vanderbilt Institute for ... | [
"It's necessary and useful for people to wash their hands frequently every day.",
"We can wash our hands with water that is at a \"comfortable\" temperature.",
"Using cold water to wash hands is necessary and much healthier.",
"Hot water can't kill germs."
] | B | MMLU_train | |
What do jellyfish give off to startle possible predators? | [
"plankton",
"light",
"energy",
"electricity"
] | B | Imagine scuba diving and coming upon a jellyfish. Would you be startled if the jellyfish suddenly started to glow with bright yellow light, like the jellyfish in the picture above? If so, then the jellyfish would have done its job. Jellyfish give off light to startle possible predators. The light they emit is visible l... | SCiQ_train |
Most members of what mammalian order possess opposable thumbs? | [
"marsupials",
"rodents",
"amphibians",
"primates"
] | D | Most primates have opposable thumbs. An opposable thumb can be brought into opposition with the other fingers of the same hand. This allows the hand to grasp and hold things. | SCiQ_train |
When positive integer n is divided by 3, the remainder is 1. When n is divided by 8, the remainder is 5. What is the smallest positive integer p, such that (n + p) is a multiple of 15? | [
"2",
"19",
"1",
"20"
] | A | When positive integer n is divided by 3, the remainder is 1 i.e., n=3x+1
values of n can be one of {1, 4, 7, 10, 13, 16, 19, 22..............49, 52, 59..................}
Similarly,
When n is divided by 8, the remainder is 5..i.e., n=7y+5
values of n can be one of {5, 13, 21, 29, 37, 45, 53, 61........}
combining both ... | AquaRat_train |
Solve the equation for x : 6x - 27 + 3x = 4 + 9 - x | [
"7",
"9",
"5",
"4"
] | D | A
4
9 x + x = 13 + 27
10 x = 40 => x = 4 | AquaRat_train |
What is the main type of cell in the nervous system called? | [
"sensory",
"axon",
"conduction",
"neuron"
] | D | Nervous Tissues Nervous tissues are made of cells specialized to receive and transmit electrical impulses from specific areas of the body and to send them to specific locations in the body. The main cell of the nervous system is the neuron, illustrated in Figure. | SCiQ_train |
In March 2004, Joe Ryan got a collection notice from a billing agency for Littleton Adventist Hospital near prefix = st1 /Denver,Colorado. The hospital wanted payment for surgery totaling $41,188. Ryan had never set foot in that hospital. Obviously there was some mistake. "I thought it was a joke," says Ryan. But when ... | [
"some trouble in obtaining insurance payments",
"a big loss of money and damage to credit rating",
"the widely spread medical information of the victim",
"the difficulty in changing the wrong medical history"
] | D | MMLU_train | |
What change the physical properties of solvents? | [
"solutes",
"cells",
"molecules",
"chemical reactions"
] | A | Solutes change the physical properties of solvents. They lower the freezing point and raise the boiling point of solvents. | SCiQ_train |
On a clock, how many times a day do the minute and hour hand overlap? | [
"22",
"20",
"24",
"11"
] | A | 22 times: 12:00:00, 1:05:27, 2:10:55, 3:16:22, 4:21:49, 5:27:16, 6:32:44, 7:38:11, 8:43:38, 9:49:05, 10:54:33. Each twice a day. | AquaRat_train |
If x = y+3+4.5x and y = x+24, what is the value of x/y ? | [
"-1/2.",
"-6/5.",
"1.5.",
"-7/20."
] | A | (1) x = y + 3 + 4.5x
Substitute y for y = x + 24 (Eq. we are given)
x = x + 24 + 3 + 4.5x
Combine like terms
x = 5.5x + 27 --> -4.5x = 27--> x = -6
(2) y = x + 18
Substitute x for x = -6
y = (-6) + 18 = 12
(3) x/y = ?
Substitute x and y we found above
x/y = (-6) / (12) = -1/2
My answer: C | AquaRat_train |
humans changing animal habitats usually causes harm to | [
"the residential things",
"sneakers",
"rocks",
"clouds"
] | A | MMLU_train | |
A football player scores 2 goals in his fifth match thus increasing his average goals score by 0.1. The total number of goals in his 5 matches would be | [
"6",
"4",
"8",
"12"
] | C | While this question can be solved with a rather straight-forward algebra approach (as the other posters have noted), it can also be solved by TESTing THE ANSWERS. One of those numbers MUST be the total number of goals...
From a tactical standpoint, it's best to TEST either Answer B or Answer D, so if the answer is not ... | AquaRat_train |
A hollow spherical metallic ball has an external diameter 6 cm and is 1/2 cm thick. The volume of metal used in the metal is: | [
"None of these",
"47 7/5cm3",
"47 1/5cm3",
"47 3/5cm3"
] | D | Explanation:
Please note we are talking about "Hollow" ball. Do not ignore this word in this type of question in a hurry to solve this question.
If we are given with external radius and thickness, we can get the internal radius by subtracting them. Then the volume of metal can be obtained by its formula as,
External ra... | AquaRat_train |
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: | [
"88",
"86",
"78",
"76"
] | B | Divisor = (6 * 3) + 2 = 20
5 * Quotient = 20
Quotient = 4.
Dividend = (Divisor * Quotient) + Remainder
Dividend = (20 * 4) + 6 = 86.
D | AquaRat_train |
Meters, such as those in analog fuel gauges on a car, are a common application of magnetic torque on a current-carrying what? | [
"circuit",
"dial",
"arc",
"loop"
] | D | Meters, such as those in analog fuel gauges on a car, are another common application of magnetic torque on a current-carrying loop. Figure 22.37 shows that a meter is very similar in construction to a motor. The meter in the figure has its magnets shaped to limit the effect of θ by making B perpendicular to the loop ov... | SCiQ_train |
Flowers pollinated by what means generally lack brightly colored parts? | [
"bees",
"wind",
"larvae",
"butterflies"
] | B | SCiQ_train | |
In a particular state, 62% of the counties received some rain on Monday, and 54% of the counties received some rain on Tuesday. No rain fell either day in 28% of the counties in the state. What percent of the counties received some rain on Monday and Tuesday? | [
"44%",
"25%",
"62%",
"70%"
] | A | 62 + 54 + 28 = 144%
The number is 44% above 100% because 44% of the counties were counted twice.
The answer is B. | AquaRat_train |
Burning forests, growing rice and raising livestock all cause a release of what into the atmosphere? | [
"carbonate gases",
"oxide gases",
"greenhouse gases",
"glucose gases"
] | C | Burning forests also releases carbon dioxide into the atmosphere. Other human activities release greenhouse gases into the atmosphere. For example, growing rice and raising livestock both produce methane. | SCiQ_train |
Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan? | [
"230 km",
"300 km",
"892 km",
"398 km"
] | B | Let the distance travelled be x km.
Total time = (x/2)/30 + (x/2)/25
= 11 => x/60 + x/50 = 11 => (5x + 6x)/300
= 11 => x = 300 km
Answer: D | AquaRat_train |
What type of bacteria stains red? | [
"gram - such bacteria",
"calcium - negative bacteria",
"kilogram-negative bacteria",
"gram-negative bacteria"
] | D | Bacteria that stain red are called gram-negative bacteria. They have a thin cell wall with an outer membrane. | SCiQ_train |
What structure supports the body, protects internal organs, produces blood cells, and maintains mineral homeostasis? | [
"fossil",
"cuticle",
"skin",
"skeleton"
] | D | The skeleton supports the body, protects internal organs, produces blood cells, and maintains mineral homeostasis. | SCiQ_train |
The purpose of any cooling system is to transfer what type of energy in order to keep things cool? | [
"atmospheric",
"physical",
"radiation",
"thermal"
] | D | A refrigerator is an example of a cooling system. Another example is an air conditioner. The purpose of any cooling system is to transfer thermal energy in order to keep things cool. A refrigerator, for example, transfers thermal energy from the cool air inside the refrigerator to the warm air in the kitchen. If you’ve... | SCiQ_train |
When you cough or sneeze, please turn your head away from others and cover your mouth with the full part of your hand. Afterwards, you should say," Excuse me." This is a rule I set for my students. It is so simple, but many kids have never been told to do _ . In fact, I notice adults cough and sneeze in public without... | [
"Don't cough or sneeze in front of people.",
"Don't stand beside someone who coughs or sneezes.",
"Many people cough or sneeze on the underground train.",
"Cover your mouth when coughing or sneezing and say sorry."
] | D | MMLU_train | |
It takes 2 workers a total of 12 hours to build a giant machine with each worker working at the same rate. If 3 workers start to build the machine at 11:00 AM, and one extra worker per hour is added beginning at 2:00 PM, at what time will the machine be complete? | [
"5:30",
"5:15",
"5:00",
"4:45"
] | C | 2 workers build 1/12 of a machine in one hour.
1 worker builds 1/24 of a machine in one hour.
In the first 3 hours, 3 workers build 3*(1/24)*3=9/24 of a machine
From 2:00 to 3:00, 4 workers build another 4/24. The total is 13/24.
From 3:00 to 4:00, 5 workers build another 5/24. The total is 18/24.
From 4:00 to 5:00, 6 ... | AquaRat_train |
How many 4-letter words with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed? | [
"2520",
"None",
"40",
"5040"
] | D | Solution
'LOGARITHM' contain 10 different letters.
Required number of words = Number of Arrangement of 10 letters, taking 4 at a time
= 10 P 4 = (10 × 9 × 7) = 5040 .
Answer C | AquaRat_train |
When the sun is below the horizon and thus not visible on a direct line, the light path will bend slightly and thus make the sun visible by what? | [
"refraction",
"reflection",
"infrared",
"thermal"
] | A | Because air is slightly more optically dense than a vacuum, when sunlight passes from the vacuum of space into our atmosphere, it bends slightly towards the normal. When the sun is below the horizon and thus not visible on a direct line, the light path will bend slightly and thus make the sun visible by refraction. Obs... | SCiQ_train |
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