question stringlengths 1 5.01k | choices listlengths 4 4 | answer stringclasses 4
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In the polynomial f(x) =2*x^4 - 49*x^2 +54, what is the product of the roots, and what is the sum of the roots (Note that x^n denotes the x raised to the power n, or x multiplied by itself n times)? | [
"49, 29",
"54,2",
"49/2, 54",
"27,0"
] | D | Given equation: 2*x^4 +0*x^3 - 49*x^2 +0*x +54
let x1 and x2 be two roots of the equation then
sum of roots is x1+x2= (-b)/a= 0/2=0
and product is given by x1 * x2 = c/a=54/2=27
ANSWER:A | AquaRat_train |
If the operation Ø is defined for all positive integers x and w by x Ø w = (2^x)/(2^w) then (3 Ø 1) Ø 1 = ? | [
"4",
"8",
"16",
"32"
] | B | 3 Ø 1 = 2^3/2^1 = 4
4 Ø 1 = 2^4/2 = 8
The answer is C. | AquaRat_train |
Using all the letters of the word "NOKIASED", how many words can be formed, which begin with N and end with A? | [
"100",
"900",
"720",
"800"
] | C | There are five letters in the given word.
Consider 8 blanks ....
The first blank and last blank must be filled with N and A all the remaining three blanks can be filled with the remaining 3 letters in 6! ways.
The number of words = 6! = 720.
Answer:B | AquaRat_train |
The largest known outbreak of the lethal Ebola virus in West Africa is prompting authorities as far away as Asia to take preventive measures, although scientists say a global spread of the disease is unlikely. At South Korea's Incheon International airport, a major hub for air travel in Asia, quarantine inspections of ... | [
"a school magazine",
"a travel booklet",
"a newspaper",
"a textbook"
] | C | MMLU_train | |
If two integers x, y (x>y) are selected from -10 to 10 (inclusive), how many possible cases are there? | [
"180",
"150",
"190",
"210"
] | D | If two integers x, y (x>y) are selected from -10 to 9 (inclusive), how many possible cases are there?
A. 150
B. 180
C. 190
D. 210
E. 240
--> 21C2=21*20/2=210. Therefore, the answer is D | AquaRat_train |
Mr Black works in an office. He's very busy and he has no time to rest. Every evening, When he comes back from his office, he always feels tired and wants to go to bed early, but his wife often has something interesting to tell him after supper. She keeps talking until it's too late. But Mr Black has to get up early in... | [
"curing Mrs Black first",
"giving him a bottle",
"telling him to stay at home",
"asking him to do exercise"
] | A | MMLU_train | |
For an upcoming charity event, a male vocalist has agreed to sing 3 out of 5 “old songs” and 1 out of 4 “new songs.” How many ways can the singer make his selection? | [
"240",
"50",
"480",
"600"
] | A | =5C3*4C1
=5*4/1*4*3/1
=5*4*4*3
=240
Ans = A | AquaRat_train |
Cancer involves what changes that modify cell-cycle control and alter the growth rate or progression of the cell through the cell cycle? | [
"deletions",
"enhancements",
"mutations",
"stabilization"
] | C | 16.7 | Cancer and Gene Regulation By the end of this section, you will be able to: • Describe how changes to gene expression can cause cancer • Explain how changes to gene expression at different levels can disrupt the cell cycle • Discuss how understanding regulation of gene expression can lead to better drug design C... | SCiQ_train |
All planets exhibit the same or nearly the same direction and shape of what path around the sun? | [
"nucleus",
"revolution",
"ellipse",
"orbit"
] | D | To figure out how the solar system formed, we need to put together what we have learned. There are two other important features to consider. First, all the planets orbit in nearly the same flat, disk-like region. Second, all the planets orbit in the same direction around the Sun. These two features are clues to how the... | SCiQ_train |
What type of diseases in humans are caused by protozoa? | [
"protist diseases",
"dysentery",
"protozoa diseases",
"diarrhea"
] | A | Scientists are searching for ways to create controlled nuclear fusion reactions in order to produce safe nuclear power. Fusion involves only harmless, plentiful elements but requires extremely high temperatures. | SCiQ_train |
What is the simplest life cycle? | [
"binary life cycle",
"diploid life cycle",
"haploid life cycle",
"metamorphic cycle"
] | C | The haploid life cycle ( Figure below ) is the simplest life cycle. It is found in many single-celled organisms. Organisms with a haploid life cycle spend the majority of their lives as haploid gametes. When the haploid gametes fuse, they form a diploid zygote. It quickly undergoes meiosis to produce more haploid gamet... | SCiQ_train |
Thirty years ago, Lake Ponkapog in Hartwell, New Jersey, was full of life. Many birds and animals lived beside the water, which was full of fish. Now there are few birds, animals, and fish. The lake water is polluted. It is in a colour of dirty brown, and it is filled with strange plants. How did this happen? First, we... | [
"more boats on the lake",
"more dirty things in the lake",
"a cleaner lake",
"a dirty lake"
] | C | MMLU_train | |
This is Jim's room.It's a nice room.There are some pictures on the wall .There's a desk and a chair in his room.There is a sofa and a bookcase,too.The desk is between(......)the bed and the bookcase.His schoolbag and pencil box are on the desk.There are some pencils,a pen and a ruler in the pencil box.Jim's sofa is nea... | [
"on the desk",
"next to the desk",
"under the bed",
"in the desk["
] | A | MMLU_train | |
What is the process in which glucose is made using energy in light called? | [
"gluconeogenesis",
"photogenesis",
"photosynthesis",
"glucosynthesis"
] | C | What is the source of glucose for living things? It is made by plants and certain other organisms. The process in which glucose is made using energy in light is photosynthesis . This process requires carbon dioxide and water. It produces oxygen in addition to glucose. | SCiQ_train |
Growing mushrooms is probably the easiest thing you can do if you are new to mushroom growing. Mushroom growing is becoming more and more common as restaurants are creating more dishes that include mushrooms. Mushroom growing is easy. To start with you need to have a growing space where you are going to grow these mus... | [
"they are too common",
"they look very beautiful",
"there are more restaurants",
"they are in great need"
] | D | MMLU_train | |
A clock shows the time as 10 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 4 p.m.? | [
"55 min",
"30 min",
"50 min",
"45 min"
] | B | there are 6 hours in between 10 a.m. to 4 p.m.
6*5=30 minutes.
ANSWER:A | AquaRat_train |
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ? | [
"50",
"90",
"10",
"20"
] | B | Explanation:
Let number of notes of each denomination be x.
Then x + 5x + 10x = 480
16x = 480
x = 30.
Hence, total number of notes = 3x = 90.
Answer is A | AquaRat_train |
Which likely provides a neutral effect to local organisms? | [
"asteroid impact",
"habitat destruction",
"9.0 earthquake",
"stormy weather"
] | D | MMLU_train | |
A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water? | [
"8",
"1",
"5",
"9"
] | A | 30 --- 3 DS = 10
? ---- 1
18 ---- 3 US = 6
? ---- 1 M = ?
M = (10 + 6)/2 = 8
Answer:B | AquaRat_train |
There are 24 students in Chad’s class. He brought 30 cookies to pass out
for his birthday. How many cookies will each student get? Will there be
any cookies left over? | [
"3-10",
"1-6",
"1-7",
"1-9"
] | B | 30/24 = 1 R 6 Chad will give each student 1 cookie and there will be 6
cookies left over
correct answer D | AquaRat_train |
Mr Smith was the manager of a hotel in Springfield. One weekend all of the hotels in the city were full because there was a large meeting. Late in the evening three men came into the hotel and asked for rooms. Mr Smith explained that because of the meeting, there were no rooms ready for use. The men were very unhappy b... | [
"The Kind Manager",
"Three Men Came to the Hotel",
"A Strange Maths Problem",
"$27 + $2 = $29"
] | C | MMLU_train | |
Make your office space MANY of us spent our childhoods dreaming of becoming astronauts. However, the hard reality is that only a select few will make it. But does that mean you'll never get the chance to work in space? Not necessarily. Space X, a private space company based in California, US, published a list of jo... | [
"Cool jobs in space other than being an astronaut.",
"How science function becomes reality.",
"Career opportunities that you shouldn't miss.",
"The possibility of space travel for common people."
] | A | MMLU_train | |
Acting like drawstrings to close off the alimentary canal, what regulates the passage of material between compartments? | [
"intestine",
"uterus",
"sphincter",
"hamstring"
] | C | SCiQ_train | |
What forms when oceanic crust subducts into the mantle at convergent plate boundaries? | [
"coral",
"volcanic mountain ranges",
"tsunamis",
"glaciers"
] | B | Volcanic mountain ranges form when oceanic crust subducts into the mantle at convergent plate boundaries. The Andes Mountains are a chain of coastal volcanic mountains. They are forming as the Nazca plate subducts beneath the South American plate ( Figure below ). | SCiQ_train |
Hello! My name is Mike. I am from America. Now I am with my parents. I like breakfast at home. I have an egg, some bread and porridge for breakfast. I do not like milk. I have no time to go home for lunch. So I have it at school. The lunch in our school is good. I can have different food for lunch. I eat rice, meat an... | [
"an egg, an apple and porridge",
"an egg, bread and porridge",
"an apple, bread and milk",
"an egg, an apple and bread"
] | B | MMLU_train | |
Green plants known as producers provide basic food supply for what besides themselves? | [
"air",
"animals",
"water",
"minerals"
] | B | SCiQ_train | |
Everyone wants to have a healthy heart. Still, heart diseases affect more than 1 in 3 adults in the United States. The good news is that some simple, everyday habits can make a big difference in your ability to live a healthy lifestyle. Here are some worst habits for your heart, and how to avoid them. Watching TV Sitti... | [
"help you live a healthy life",
"lead to heart attack",
"make up for the time you sit",
"make you feel stressed"
] | B | MMLU_train | |
Solar cells create voltages directly from light, while thermoelectric devices create voltage from differences in what? | [
"temperature",
"wire width",
"wattage",
"oxygen"
] | A | Electromotive Force You can think of many different types of voltage sources. Batteries themselves come in many varieties. There are many types of mechanical/electrical generators, driven by many different energy sources, ranging from nuclear to wind. Solar cells create voltages directly from light, while thermoelectri... | SCiQ_train |
Bats are the only flying mammal in the world. They can't see very well. It is long believed, in many places, that all bats are blind . "Blind as a bat" is often heard. Yet they have no trouble flying in the darkest nights and finding their way around. How can bats fly and see at night? They fly by radar . The bat's r... | [
"The bat is the only flying animal in the world.",
"The bat has poor eyesight, but it can \"see\" its food.",
"Not all bats are afraid of flying in the sun.",
"The bat often comes out in the daytime."
] | B | MMLU_train | |
Did you hear of the supercomputer? Recently, China's Tianhe-1 was ranked as the world's fastest supercomputer, according to a new list of world's TOP 500 supercomputers. It took 200 Chinese scientists two years to build the fastest supercomputer. It can do 2,507 trillion calculations in a second! That means it will... | [
"was made in America",
"was made within two months",
"can do 2,507 trillion calculations in a minute",
"was made by 200 Chinese scientists"
] | D | MMLU_train | |
The ratio between the speeds of two persons is 7:8.If the second main runs 400 km in 4 hours,then find the speed of the another person? | [
"87.5km/hr",
"80.5 km/hr",
"92 km/hr",
"120.1 km/hr"
] | A | Let the speed of two persons be 7x and 8x km/hr
8x=400/4
x=100/8
x=12.5
Speed of first person=(7*12.5)km/hr
=87.5 km/hr
Answer is option B | AquaRat_train |
Natural convection is driven by what forces? | [
"thermal",
"gravitational",
"buoyant",
"magnetic"
] | C | sweating. These vessels become smaller when it is cold outside and larger when it is hot (so more fluid flows, and more energy is transferred). The body also loses a significant fraction of its heat through the breathing process. While convection is usually more complicated than conduction, we can describe convection a... | SCiQ_train |
If a box contains 10 bulbs,of which just three are defective. If a random sample of five bulbs is drawn, find the probability that the sample contains no defective bulbs. | [
"1/10",
"1/12",
"1/99",
"1/11"
] | B | Explanation:
Total number of elementary events = \inline {\color{Black}10C_{5}}
Number of ways of selecting no defective bulbs i.e., 5 non-defective bulbs out of 7 is \inline {\color{Black}7C_{5}}.
So,required probability =\inline {\color{Black}7C_{5}/10C_{5}} = 1/12.
Answer: D) 1/12 | AquaRat_train |
A few earthquakes take place away from plate boundaries, these are called what? | [
"outer earthquakes",
"distant earthquakes",
"deformation earthquakes",
"intraplate earthquakes"
] | D | The remaining 5% are scattered around other plate boundaries. A few earthquakes take place away from plate boundaries. These are intraplate earthquakes. | SCiQ_train |
Fertilization occurs when an egg and sperm come together to form a what? | [
"eukaryote",
"zygote",
"infant",
"cell"
] | B | Fertilization occurs when an egg and sperm come together to form a zygote. | SCiQ_train |
10 people meet for a business lunch. Each person shakes hands once with each other person present. How many handshakes take place? | [
"30",
"15",
"18",
"45"
] | D | the formula to count handshakes is n(n−1)2n(n−1)2
Where n is the number of people
=> 10(9-1)/2 = 10*9/2 = 90/2 = 45
=> the answer is E(45) | AquaRat_train |
My family makes the best chicken salad.Dad prepares all of the ingredients and Mom makes the relish.There are a few things that make this chicken salad different from the other chicken salads.First,we use fruit jam in the relish.You can buy any fruit jam,like banana jam or orange jam.But we have bottles of strawberry... | [
"green olives and chicken",
"green olives and a different relish",
"lettuce and a different relish",
"chicken and a different relish"
] | B | MMLU_train | |
What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the second? | [
"1134",
"1430",
"1490",
"1349"
] | D | First digit is 1/3 second digit => The numbers can be 1 & 3, 2& 6, 3 & 9.
First + second = third => we can eliminate 3 & 9 since 3 + 9 = 12.
Last is 3 times the second => we can eliminate option 2 & 6 since 3 * 6 = 18.
Hence the number is 1349
C | AquaRat_train |
I'm Tom. This is a pencil case. It's orange. It's my pencil case. What's in the pencil case? A ruler is in the pencil case. It is my ruler. The ruler is blue and red. That is a pencil. It is black and white. It is not my pencil. Look! That girl is Lucy. It is her pencil. That boy is Tim. I found his green pen in the pe... | [
"Yes.",
"No.",
"OK.",
"I don't know"
] | B | MMLU_train | |
If a population of women in a town is 50% of men . What is the population of men as a percentage of population of women ? | [
"100%",
"180%",
"120%",
"200%"
] | D | We're told that the number of Women in a town is equal to 50% of the number of Men in that town.
Men = 10
Women = 5
We're asked for the number of Men, as a percentage of the number of Women.
M/W %= 10/5 = 200%
Answer is C | AquaRat_train |
A grocer buys apples for 65¢ per pound. If 10% of the apples goes bad and he still wants to make a 20% profit over his purchase price, what should be the sales price? | [
"70.70¢",
"90.50¢",
"86.67¢",
"80.00¢"
] | C | for making calculation simple let us consider he buys 10pounds @ 65/pound=650¢ in total .
10% apples lost...means 9 pounds left.
further he wants 20% profit on 650 ¢
means he wants to earn 780¢
sales price should be 780/9==¢ 86.67
Ans E | AquaRat_train |
What can radioactive strontium replace in the human body making it dangerous? | [
"potassium",
"calcium",
"magnesium",
"oxygen"
] | B | Radioactive strontium is dangerous because it can chemically replace calcium in the human body. The bones are particularly susceptible to radiation damage. Write the nuclear equation for the beta emission of strontium-90. | SCiQ_train |
If x = - |x| , then which one of the following statements could be true?
I. x <1
II. x < 0
III. x > 0 | [
"II and III",
"II only",
"I and II",
"None"
] | B | Answer copied from NOVA guide
Statement I could be false because 1/2 = −(1/2) = −1/2 .
Statement II could be true because the right side of the equation is always negative [ ± x = –(a positive number) = a negative number].
Now, if one side of an equation is always negative, then the other side must always be negative,
... | AquaRat_train |
Mammals belong to which class of vertebrates? | [
"endothermic",
"agnathas",
"chondrichthyes",
"placoderms"
] | A | Mammals are a class of endothermic vertebrates. They have four limbs and produce amniotic eggs. Examples of mammals include bats, whales, mice, and humans. Clearly, mammals are a very diverse group. Nonetheless, they share many traits that set them apart from other vertebrates. | SCiQ_train |
A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point? | [
"150 sec",
"110 sec",
"130 sec",
"120 sec"
] | D | C
120 sec
Time taken to meet for the first time at the starting point
= LCM { length of the track / speed of A , length of the track / speed of B}
= LCM { 600/ (36 * 5/18) , 600/ (54 * 5 /18) }
= LCM (60, 40) = 120 sec. | AquaRat_train |
What is it called when plants release water vapor through their leaves? | [
"respiration",
"propagation",
"transpiration",
"evaporation"
] | C | Transpiration is like evaporation because it changes liquid water to water vapor. In transpiration, plants release water vapor through their leaves. This water vapor rises into the atmosphere. | SCiQ_train |
Recently,a solar powered plane took to the sky for the first time. It had passed an important test on the way to travel around the world. The plane took off from an airport in Switzerland at 45km an hour. It slowly rose above the fields and into the sky. "There has never been an airplane of that kind that could fly -- ... | [
"It uses no fuel",
"It's the fastest plane",
"It can fly highest",
"It's the heaviest plane"
] | A | MMLU_train | |
Annie has 100 cards numbered 1 through 100. If she deals nine cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers? | [
"9!/100!",
"(97! X 4!)/100!",
"(92! X 9!)/100!",
"95!/100!"
] | C | Alex to get 9 consecutive cards in ascending order, to have 9 consecutive at the end is good enough.
There are 92 consecutive numbers in 100: {1, 2, 3, 4, 5,6,7,8,9}, {2, 3, 4, 5, 6,7,8,9,10}, ..., {92,93,94,95,96, 97, 98, 99, 100};
Total ways to pick 9 cards out of 100 is {9!*92!}{100!}.
Answer: C. | AquaRat_train |
You may have heard adults say they are uncomfortable in the morning without a cup of coffee. One reason they may feel that way is that coffee contains caffeine . Caffeine occurs naturally in coffee, tea, and cocoa beans, which are used to make chocolate. But now food makers are adding it to many products, from potato c... | [
"getting enough sleep can make people energetic",
"headaches and feeling tired are common in teenagers",
"food makers don't add much caffeine to many products now",
"caffeine is good and useful for teenagers' study"
] | A | MMLU_train | |
What is the study of the relationship between electricity and chemical reactions called? | [
"electrochemistry",
"inorganic chemistry",
"analytical chemistry",
"physical chemistry"
] | A | Summary Electrochemistry is the study of the relationship between electricity and chemical reactions. The oxidation–reduction reaction that occurs during an electrochemical process consists of two halfreactions, one representing the oxidation process and one the reduction process. The sum of the halfreactions gives the... | SCiQ_train |
"Your son is one of the sickest kids we've ever had in intensive care," was what the nurse said to me after we had arrived in an ambulance, 20 minutes from Kingston Hospital to the Evelina in Westminster. The journey was the longest of my life. I had been told that my six-month-old son, my friend, my whole heart, was g... | [
"desperate and fearful",
"special and different",
"bitter and lonely",
"disturbed and annoyed"
] | A | MMLU_train | |
What do some animals use for shelter? | [
"indestructible materials",
"living materials",
"nonliving materials",
"invisible materials"
] | C | SCiQ_train | |
The City Bike program rolled into New York last spring and proved a hit, with nearly 12,000 New Yorkers signing up for annual memberships. Since 2010, over a dozen US cities have introduced bike-share programs. There're plenty of bike stations near parks and other car-free areas. The programs we looked at in major citi... | [
"Nice Ride Minnesota",
"Divvy Bikes",
"Citi Bike",
"Hubway"
] | C | MMLU_train | |
Close your eyes for a minute and imagine what life would be like if you couldn't see. Imagine having to read this page, not with your eyes but with your fingers. How do you feel, then? With medical knowledge and skills today, two-thirds of the world's 42 million blind people should not have to suffer. Unluckily, rich c... | [
"ORBIS didn't do its best to offer help",
"there is no good medical knowledge and skills",
"some countries can't afford medical knowledge and skills",
"developing countries don't pay much attention to the blind"
] | C | MMLU_train | |
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 15 seconds. Find the length of the faster train? | [
"270",
"277",
"150",
"187"
] | C | Relative speed = (72 - 36) * 5/18 = 2 * 5 = 10 mps.
Distance covered in 15 sec = 15 * 10 = 150 m.
The length of the faster train = 150 m.
Answer: E | AquaRat_train |
Chains of small molecules called nucleotides make up what? | [
"nucleic acids",
"chromosomes",
"proteins",
"peptides"
] | A | Nucleic acids consist of chains of small molecules called nucleotides, which are held together by covalent bonds. The structure of a nucleotide is shown in the Figure below . Each nucleotide consists of:. | SCiQ_train |
What is the color of the powder of a mineral? | [
"blue",
"organic",
"streak",
"gray"
] | C | Streak is the color of the powder of a mineral. To do a streak test, you scrape the mineral across an unglazed porcelain plate. The plate is harder than many minerals, causing the minerals to leave a streak of powder on the plate. The color of the streak often differs from the color of the larger mineral sample, as Fig... | SCiQ_train |
What process takes place when echinoderms release their gametes into the water? | [
"migration",
"isolation",
"stimulation",
"fertilization"
] | D | The echinoderm nervous system has a nerve ring at the center and five radial nerves extending outward along the arms. There is no centralized nervous control. Echinoderms have separate sexes and release their gametes into the water where fertilization takes place. Echinoderms may also reproduce asexually through regene... | SCiQ_train |
The simple interest accrued on an amount Rs.10,000 at the end of two years is same as the compound interest on Rs.8,000 at the end of two years. The rate of interest is same in both the cases. What is the rate of interest? | [
"80% p.a",
"40% p.a",
"100% p.a.",
"44% p.a"
] | B | Given that Rs.10,000 is invested in S.I for two years and Rs.8,000 in C.I for two years
=> C.I - S.I
=>9,000 { [1 + r/100]2 - 1} = (10,000)2r /100
=> 9{ 1 + 2r/100 + r2 / (100)2 - 1} = r/5
=> r = 0% of 40%
Since r!= 0%, r =40%
ANSWER:C | AquaRat_train |
At a school, two-fifths of the male students and two-thirds of the female students speak a foreign language. If the number of males is three-fourths the number of females, what fraction of the students speak a foreign language? | [
"58/105",
"22/35",
"8/15",
"18/35"
] | A | Let x be the number of students in the school.
The number of males who speak a foreign language is (2/5)(3/7)x = (6/35)x
The number of females who speak a foreign language is (2/3)(4/7)x = (8/21)x
The total number of students who speak a foreign language is (6/35)x + (8/21)x = (58/105)x
The answer is E. | AquaRat_train |
Find out the square of a number which when doubled exceeds its one seventh by 13 ? | [
"17",
"19",
"16",
"49"
] | D | A
Let the number be p, then the square will be p^2
According to question:
2p = (p/7) + 13
=> 14p = p +91
=> p = 7
p^2 = 7^2 = 49.
Answer : B | AquaRat_train |
Insert the missing number.
8, 7, 11, 12, 14, 17, 17, (....) | [
"22",
"24",
"27",
"26"
] | A | There are two series (8, 11, 14, 17) and (7, 12, 17, 22) increasing by 3 and 5 respectively.
answer : C | AquaRat_train |
The average of 11numbers is 60. Out of 11numbers the average of first 6no. is 88, and last 6numbers is 65 then find 6th number? | [
"D)62",
"E)48",
"B)65",
"A)258"
] | D | 6th number = sum of 1st 6no.s + sum of last 6no.s - sum of 11no.s
answer = 6*88+6*65-11*60 = 258
Answer is A | AquaRat_train |
If the price of an article went up by 30%, then by what percent should it be brought down to bring it back to its original price? | [
"16 7/3%",
"23 1/13%",
"25%",
"16 6/3%"
] | B | Let the price of the article be Rs. 100.
30% of 100 = 30.
New price
= 100 + 30 = Rs. 130
Required percentage
= (130 - 100)/130 * 100
= 30/130 * 100
= 23 1/13%
Answer:B | AquaRat_train |
the availability of soil nutrients in the food chain can be explained by which of these? | [
"the soil emanates nutrients into the air",
"the primary producers depend on the soil",
"all living things eat sand",
"the water we drink is from the soil"
] | B | MMLU_train | |
A vessel of capacity 2 litre has 30% of alcohol and another vessel of capacity 6 litre had 45% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture? | [
"49%.",
"31%.",
"51%.",
"33%."
] | D | 30% of 2 litres = 0.6 litres
45% of 6 litres = 2.7 litres
Therefore, total quantity of alcohol is 3.3 litres.
This mixture is in a 10 litre vessel. Hence, the concentration of alcohol in this 10 litre vessel is 33%
D | AquaRat_train |
A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is? | [
"22 kmph",
"25 kmph",
"20 kmph",
"10 kmph"
] | C | M = 15
S = 5
DS = 15 + 5 = 20
ANSWER:C | AquaRat_train |
A batch of widgets costs p + 15 dollars for a company to produce and each batch sells for p(11 – p) dollars. For which of the following values of p does the company make a profit? | [
"10",
"12",
"8",
"11"
] | C | to make profit, selling price should be greater than cost price
p(11-p) - p-15 >0
=> p^2-10*p+15<0
hence p=8
A | AquaRat_train |
In 1990 the budgets for projects Q and V were $620,000 and $780,000, respectively. In each of the next 10 years, the budget for Q was increased by $30,000 and the budget for V was decreased by $10,000. In which year was the budget for Q equal to the budget for V ? | [
"1993",
"1994",
"1995",
"1996"
] | B | Let the no of years it takes is x.
620+30x = 780-10x --> 40x = 160 and x=4.
Thus, it happens in 1994.
C. | AquaRat_train |
If P represents the product of the first 13 positive integers, which of the following must be true?
I. P is an odd number
II. P is a multiple of 17
III. P is a multiple of 19 | [
"III only",
"All of the above",
"I only",
"None of the above"
] | D | The correct answer is D. | AquaRat_train |
What is the number placed in front of a chemical symbol or formula that shows how many atoms or molecules of the substance are involved in the reaction? | [
"requirement",
"note",
"frequency",
"coefficient"
] | D | Coefficients are used to balance chemical equations. A coefficient is a number placed in front of a chemical symbol or formula. It shows how many atoms or molecules of the substance are involved in the reaction. | SCiQ_train |
My friend Jack is a taxi driver. He has done this job for ten years. It's a nice job most of the time. He can meet a lot of people every day. He always works late into the night because there are lots of people calling his taxi during the night. He usually goes home after two o'clock in the morning. There are some very... | [
"cat",
"dog",
"pig",
"rabbit"
] | B | MMLU_train | |
Al Ossinger,an experienced mountain guide,knew it was time to leave Longs Peak in Colorado's Rocky Mountain National Park,and get off'quickly.The sky had turned threatening dark,and his ice ax at times gave out upset sounds.Suddenly,as Ossinger was crossing a large mass of rock,both hands pressed against it for balanc... | [
"people caught by lightning may go disabled at once",
"1ightning strikes may do harms to human beings",
"more forest fires will be caused by lightning",
"1ightning is a rich energy resource to humans"
] | B | MMLU_train | |
What scratches glass easily? | [
"a rubber pencil eraser",
"a crystal that regulates electronic oscillators in watches",
"a soft linen towel",
"a round piece of ice"
] | B | MMLU_train | |
Many people have talked about whether or not computing machines can think. Can they or can't they? Almost certainly, a machine can do any work in thinking that a person can do--if the correct way for doing the thinking work can be told exactly. Besides, many programs have been made to direct machines so that they work ... | [
"A machine will do any work in thinking like a human being.",
"A machine can do better translation than human beings.",
"A machine won't be able to beat every chess player.",
"A machine will be able to make plan programs."
] | A | MMLU_train | |
A horse barn fire | [
"damages only the pastures",
"would be easy to handle",
"damages the structure and animals trapped inside",
"would cause very few issues"
] | C | MMLU_train | |
What also receives input from other areas of the forebrain through the medial forebrain bundle? | [
"hippocampus",
"pituitary gland",
"optic chiasm",
"hypothalamus"
] | D | These two tracts connect the hypothalamus with the major parasympathetic nuclei in the brain stem and the preganglionic (central) neurons of the thoracolumbar spinal cord. The hypothalamus also receives input from other areas of the forebrain through the medial forebrain bundle. The olfactory cortex, the septal nuclei ... | SCiQ_train |
As the temperature of water decreases what happens to the speed of the water molecules? | [
"slow down",
"evaporate",
"begin to boil",
"move faster"
] | A | In the liquid state, the hydrogen bonds of water can break and reform as the molecules flow from one place to another. When water is cooled, the molecules begin to slow down. Eventually, when water is frozen to ice, the hydrogen bonds become permanent and form a very specific network (see Figure below ). | SCiQ_train |
9 men are equal to as many women as are equal to 7 boys. All of them earn Rs.216 only. Men’s wages are? | [
"6",
"8",
"2",
"5"
] | B | 9M = xW = 7B
9M + xW + 7B ----- 216 Rs.
9M + 9M + 9M ----- 216 Rs.
27M ------ 216 Rs. => 1M = 8Rs. Answer: D | AquaRat_train |
A 14-year-old girl was attacked by a grey bear while competing in a bike race. She managed to whisper the word "bear" to her rescuer. The girl suffered serious head, neck and leg wounds. Now she is in a dangerous condition in hospital. The girl was taking part in a 24-hour race through Bicentennial Park in Alaska when ... | [
"it was the fourth time that the bear had attacked people",
"the race area was not very easy to reach",
"bike races are very dangerous sports",
"girls had better not compete in a bike race"
] | B | MMLU_train | |
If a sequence of 8 consecutive odd integers with increasing values has 9 as its 7th term, what is the sum of the terms of the sequence? | [
"22",
"44",
"40",
"32"
] | D | Seventh term, a7 = 9
Number of terms,n = 8
an= a1 + (n-1)d
a7= a1 + 6d
=>9 = a1 + 12
=>a1 = -3
8th term , a8 = 11
Sum of terms of the sequence = n/2[first term + last term]
= 4*[-3 + 11]
= 4*8
= 32
Answer B | AquaRat_train |
The least number,which when divided by 48,60,72,108 and 140 leaves 38,50,62,98 and 130 as remainder respectively, is : | [
"15120",
"15210",
"12510",
"15110"
] | D | Solution
Here (48 - 38) = 10 , (60 - 50) = 10,(72 - 62) = 10,(108 - 98) = 10 & (140 - 130) = 10.
So, Required number = (L.C.M. of 48,60,72,108,140) - 10 = 15120 - 10 = 15110. Answer B | AquaRat_train |
What term is used to describe the development of new technology? | [
"Smart Design",
"variation design",
"evident design",
"technological design"
] | D | The development of new technology is called technological design . It is similar to scientific investigation. Both processes use evidence and logic to solve problems. | SCiQ_train |
When a number is divided by 6 &then multiply by 12 the answer is 9 what is the no.? | [
"4.5",
"5",
"4.8",
"5.9"
] | A | if $x$ is the number, x/6 * 12 = 9
=> 2x = 9
=> x = 4.5
A | AquaRat_train |
The difference between the simple interest received from two different sources on Rs. 500 for 3 years is Rs. 13.50. The difference between their rates of interest is? | [
"A)2.4%",
"C)0.3%",
"B)6.6%",
"D)2.0%"
] | C | (500 * R1 * 3)/100 - (500 * R2 * 3)/100 = 13.50 1500(R1 - R2) = 1350
R1 - R2 = 6.6%
Answer:B | AquaRat_train |
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 390 m long? | [
"45 sec",
"48 sec",
"40 sec",
"60 sec"
] | D | Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 750 m
Required time = 750 * 2/25 = 40 sec
ANSWER:B | AquaRat_train |
How many pairs of legs do arachnids have? | [
"6",
"4",
"ten",
"8"
] | B | Arachnids have four pairs of legs, specialized appendages, and a fused head and thorax. | SCiQ_train |
What is the outer layer of the adrenal gland called? | [
"adrenal cortex",
"medulla",
"adrenal skin",
"zona reticularis"
] | A | 17.6 The Adrenal Glands The adrenal glands, located superior to each kidney, consist of two regions: the adrenal cortex and adrenal medulla. The adrenal cortex—the outer layer of the gland—produces mineralocorticoids, glucocorticoids, and androgens. The adrenal medulla at the core of the gland produces epinephrine and ... | SCiQ_train |
Which color shirt will reflect the most light on a hot, sunny day? | [
"black",
"blue",
"red",
"white"
] | D | MMLU_train | |
Sakshi can do a piece of work in 30 days.Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work : | [
"14",
"16",
"10",
"25"
] | A | Solution
Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4 .
Suppose Tanya taken x days to do the work.
5 : 4 : : 30 : x ⇒ x = (30x4/5) ⇒ x = 24 days.
Hence,Tanya takes 16 days is complete the work.
Answer C | AquaRat_train |
Google is preparing for changes in its privacy policy beginning March 1st. The company says it plans to replace more than 60 separate policies for different products with one main policy. Privacy activists criticized last month's announcement. They are concerned that the new policy will make it easier to track the acti... | [
"To serve its users better.",
"To make it easier for their work",
"To personalize each user's experience",
"To build up a unified profile of its users"
] | D | MMLU_train | |
A solution is what type of mixture, where the dissolved particles are spread evenly through the mixture? | [
"heterogeneous",
"gaseous",
"homogeneous",
"saline"
] | C | A solution is a mixture of two or more substances, but it’s not just any mixture. A solution is a homogeneous mixture. In a homogeneous mixture, the dissolved particles are spread evenly through the mixture. The particles of the solution are also too small to be seen or to settle out of the mixture. To put solutions in... | SCiQ_train |
I study in the No.5 Middle school. It is a big and nice school. In the school there are more than one hundred teachers and about 2000 students. They all walk very hard. I am in Class 8,Grade One. There are 35 girls and 36 boys in my class. Our classroom is very big and bright. There are four windows in the wall of the ... | [
"72",
"71",
"35",
"36"
] | A | MMLU_train | |
Walking at the rate of 4 kmph a man cover certain distance in 2 hr 45 min. Running at a
speed of 16.5 kmph the man will cover the same distance in. | [
"40 min",
"25 min",
"60 min",
"None of these"
] | A | Explanation :
Distance = Speed * time
4*11/4 = 11km
New Speed = 16.5 kmph
Therefore time = D/S = 11/16.5 = 40min
Answer : C | AquaRat_train |
A set of data consists of the following 4 numbers: 0, 2, 4, 6, and 8. Which two numbers, if added to create a set of 7 numbers, will result in a new standard deviation that is close to the standard deviation for the original 5 numbers? | [
"-1 and 9",
"4 and 4",
"0 and 8",
"3 and 5"
] | C | If you are in for some calculations , this is how I got to it
mean = 4
sd = \sqrt{8} = 2.8
Expected values for the SD to not change are - One value below SD from mean is (4 - 2.8) = 1.2 , and one value above SD is (4 + 2.8) = 6.8
This would mean , adding 1.2 ans 6.8 would have no impact on the SD . SD remains the same ... | AquaRat_train |
2/5 of the fish in an aquarium is red and 1/4 of the fish is brown. 1/4of the red fish and 1/5 of the brown fish is male. If the rest of the fish in the aquarium is female, what is the probability that a fish randomly picked from the aquarium is male? | [
"3/20",
"7/30",
"2/5",
"5/16"
] | A | Straight method....
1/4 of 2/5 + 1/5 of 1/4 = 2/20 +1/20 =3/20
ANSWER:A | AquaRat_train |
Schools and parents in Shenzhen City have been asked to take better care of children's eyesight as 45 percent of them were found to be shortsighted. Too much reading, poor lighting and too much TV are blamed . Of the city's high school graduates who applied to study at colleges this summer, but now he gets up earlier.... | [
"45 percent",
"less than half",
"55 percent",
"two thirds"
] | C | MMLU_train | |
Tony and Anna are brother and sister. They are Americans. Tony likes sports very much. He can play football, basketball and volleyball. Anna likes music very much. She can't play ball games. But they both like playing games on computers. They like eggs, bread and milk for breakfast. For lunch, Anna likes eating vegetab... | [
"eggs, bread and milk",
"ice cream or cheese",
"chicken and fish",
"vegetables and fruit"
] | A | MMLU_train | |
What do fission reactors use to slow down the neutrons? | [
"inertia",
"control",
"brake",
"moderator"
] | D | U-235 nuclei can capture neutrons and disintegrate more efficiently if the neutrons are moving slower than the speed at which they are released. Fission reactors use a moderator surrounding the fuel rods to slow down the neutrons. Water is not only a good coolant but also a good moderator, so a common type of fission r... | SCiQ_train |
People with bigger brains ftend to score higher on standardized tests of intelligence, according to new study findings. However, the study author Dr Michael A.McDaniel of the Virginia Commonwealth University in Richmond emphasized that these findings represent a general trend, and people with small heads should not aut... | [
"proves Tiedmann's idea was completely true",
"shows women are smarter than men",
"involves many studies and a lot of people",
"explains why people with smaller brains are clever"
] | C | MMLU_train |
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