question
stringlengths
1
5.01k
choices
listlengths
4
4
answer
stringclasses
4 values
support
stringlengths
0
3.68k
source
stringclasses
3 values
A group of 10 people plan to rent a van and agree to share equally the total cost of the rental, which is E dollars. If n of the people decide not to participate at the last minute, by how many dollars will each remaining person's share of the total cost increase?
[ "nE / [10(10-n)]", "(12 - n)/E", "E/[12(12-n)]", "(12-n)E/(12n)" ]
A
total cost =E no of people willing to participate initially =10 initial cost for each =E/10 when n people decided not to participate Cost for each =E/10-n C
AquaRat_train
Everyone knows what a needle is. Of course there are needles and needles: Needles for sewing machines, needles for injection , you name it. But few people think of the wonder : a needle works in the hands of those who practice acupuncture . During the past ten years or so, I have been suffering from terrible headache. ...
[ "the neighbour fixed needles on his own head", "The neighbour is a kind-hearted person.", "The man's pain was killed before the doctor arrived", "Soon after the acupuncture, the man was completely recovered." ]
A
MMLU_train
A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
[ "47", "42", "41", "44" ]
D
π (152 - 132) = 176 176 * 1/4 = Rs.44 Answer: C
AquaRat_train
Alpha, beta, and gamma emissions are associated with what kind of energy?
[ "kinetic", "radiation", "potential", "electrical" ]
B
Alpha, beta, and gamma emissions have different abilities to penetrate matter. The relatively large alpha particle is easily stopped by matter (although it may impart a significant amount of energy to the matter it contacts). Beta particles penetrate slightly into matter, perhaps a few centimeters at most. Gamma rays c...
SCiQ_train
What is the name of the smallest planet in our solar system, which is also nearest to the sun?
[ "jupitor", "earth", "mars", "mercury" ]
D
Mercury is the smallest planet. It has no moon. It is also the planet closest to the Sun. Pictured below is the surface of Mercury covered with craters ( Figure below ), like Earth’s Moon. Many of the impact craters are billions of years old. This means that Mercury hasn’t changed much geologically for billions of year...
SCiQ_train
What type of eggs do fully terrestrial vertebrates carry?
[ "epithelial", "aqueous", "amniotic", "amphibious" ]
C
The amniotic egg is an important adaptation in fully terrestrial vertebrates. It first evolved in reptiles. The shells of reptile eggs are either hard or leathery.
SCiQ_train
To fill an art exhibit, the peoples in an art course are assigned to create one piece of artwork each in the following distribution: 1/3 are sculptures, 1/8 are oil paintings, 1/2 are watercolors, and the remaining 10 pieces are mosaics. How many peoples are in the art class?
[ "240", "80", "120", "400" ]
A
Let the total number of peoples in the art class = s Distribution of artwork is as 1/3 are sculptures 1/8 are oil paintings 1/2 are watercolors, and the remaining 10 pieces are mosaics (1/3)s +(1/8)s +(1/2)s + 10 = s Since remaining 10 pieces are mosaics , (1/24)s = 10 s = 240 Answer C
AquaRat_train
Daniel: Hi, Simon. How are you these days? Simon: Not bad. But I just feel a little sad. Daniel: What's wrong? Simon: You see, I bought some goldfish last week. But now they all die. Daniel: I'm afraid you forgot to change water for them. Simon: No. I just gave them a lot to eat. I think they like eating. Daniel: Oh,I...
[ "It's modern and cute.", "It's expensive.", "It's easy to look after.", "It can be controlled freely." ]
B
MMLU_train
If a deer eats a berry plant, the plant eats
[ "a berry juice slurry", "large slices of meat", "its self created nutriment", "small bugs that glow" ]
C
MMLU_train
How many factors does 49^2 have?
[ "36", "2", "25", "24" ]
A
36^2 = 6*6*6*6 = 2^4*3^4 Total factors = (4+1)*(4+1) = 6*6 = 36 Answer E.
AquaRat_train
The number of new words that can be formed by rearranging the letters of the word 'RAM' is ?
[ "6", "5", "10", "13" ]
B
Number of words which can be formed = 3! - 1 = 6 - 1 = 5 Answer:A
AquaRat_train
Deletions remove one or more what from the dna?
[ "exons", "nucleotides", "codons", "genes" ]
B
Similar to chromosomal alteration mutations, deletion or insertion mutations add or remove genetic information. Small deletions or insertions in the DNA will alter the reading frame. Deletions remove one or more nucleotides from the DNA, whereas insertions add one or more nucleotides into the DNA. These mutations in th...
SCiQ_train
US researchers have found traces of an ancient lake on Mars recently, increasing hopes of discovering evidence that billions of years ago the Red planet hosted life. The lake, which dates back some 3.4 billion years, appears to have covered as much as 80 square miles and was up to 1,500 feet deep, said the team from th...
[ "hot and wet", "wet and warm", "cold and dry", "cold and wet" ]
C
MMLU_train
Both sexes of sockeye salmon turn red with green heads just prior to what?
[ "spawning", "dying", "migrating", "feeding" ]
A
Wild male and female Sockeye salmon before spawning. Sockeye salmon are blue tinged with silver in color while living in the ocean. Just prior to spawning, both sexes turn red with green heads. Sockeye spawn mostly in streams having lakes in their watershed. The young fish spend up to three years in the freshwater lake...
SCiQ_train
The bone matrix consists of tough protein fibers—mainly what?
[ "hemoglobin", "tendons", "tissues", "collagen" ]
D
Many people think of bones as being dead, dry, and brittle. These adjectives correctly describe the bones of a preserved skeleton, but the bones in a living human being are very much alive. As shown in Figure below , the basic structure of bones is bone matrix , which forms the underlying rigid framework of bones, form...
SCiQ_train
Energy may be transferred to an object without being plugged in, such as with
[ "an electric grill", "an electric stove", "an electronic torch", "a microwave oven" ]
C
MMLU_train
Monty Hempel is a professor of environmental sciences at Redlands University in California. He studies ecological literacy--or ecoliteracy, for short. Ecoliteracy is the ability to think about and understand the natural processes that make life possible. Monty Hempel says ecoliteracy gives people knowledge about enviro...
[ "they lack knowledge on environment protection", "they have no awareness of environment protection", "some environmental problems are not worse at all", "some environmental problems happened far away" ]
D
MMLU_train
Colloids are used industrially as what?
[ "solutions", "organisms", "catalysts", "impurities" ]
C
Suspensions and colloids are two common types of mixtures whose properties are in many ways intermediate between those of true solutions and heterogeneous mixtures. Asuspension is a heterogeneous mixture of particles with diameters of about 1 µm (1000 nm) that are distributed throughout a second phase. Common suspensio...
SCiQ_train
What is indicated by the ratio of the output force to the input force in a machine?
[ "man hours", "mechanical advantage", "magnetic force", "momentum" ]
B
The mechanical advantage of a machine is the factor by which the machine changes the input force. It equals the ratio of the output force to the input force. A wheel and axle may either increase or decrease the input force, depending on whether the input force is applied to the axle or the wheel.
SCiQ_train
What are prokaryotic cells filled with?
[ "chlorophyll", "cytoplasm", "protein", "rna" ]
B
cytoplasm. Like all other cells, prokaryotic cells are filled with cytoplasm. It includes watery cytosol and other structures.
SCiQ_train
The average runs scored by a batsman in 35 matches is 36. In the next 14 matches the batsman scored an average of 15 runs. Find his average in all the 30 matches?
[ "29", "25", "30", "31" ]
C
Total score of the batsman in 35 matches = 1260. Total score of the batsman in the next 14 matches = 210. Total score of the batsman in the 30 matches = 1470. Average score of the batsman = 1470/49 = 30. Answer: E
AquaRat_train
What do the muscles of the gastrointestinal tract do?
[ "keep food moving", "secrete stomach acid", "stop digestion", "break down food" ]
A
Organs of the GI tract are covered by muscles that contract to keep food moving along. A series of involuntary muscle contractions moves rapidly along the tract, like a wave travelling through a spring toy. The muscle contractions are called peristalsis. The diagram in Figure below shows how peristalsis works.
SCiQ_train
What functions as a framework that reinforces the shape of the leaf?
[ "the normal structure", "the vascular structure", "the stylised structure", "the central structure" ]
B
SCiQ_train
Which cells change the accessibility, transcription, or translation of a gene?
[ "eukaryotic", "prokaryotic", "endogenous", "ribosomes" ]
A
that extends the 3' end, so a primer is synthesized and extended. Thus, the ends are protected. 16 The cell controls which protein is expressed, and to what level that protein is expressed, in the cell. Prokaryotic cells alter the transcription rate to turn genes on or off. This method will increase or decrease protein...
SCiQ_train
An investor purchased 100 shares of stock X at 8 1/8 dollars per share and sold them all a year later at 32 dollars per share. If the investor paid a 2 percent brokerage fee on both the total purchase price and the total selling price, which of the following is closest to the investor's percent gain on this investment?
[ "240%", "290%", "92%", "380%" ]
B
If the purchase price was 8$ per share then the investor would have made a profit of 300%. Since the purchase price is slightly more than 8$ the profit would be slightly less than 300%. Also a 2% brokerage is negligible and it brings down the profit percentage only by a small value. Approximation is very useful to solv...
AquaRat_train
The rumors had been spreading for months but it still came as a shock when the hospital would be closing. It had served this poor neighborhood for nearly 100 years but it would close because of the health care crisis. The day after the announcement co-workers found out that pretzels had been _ . Soft pretzels are th...
[ "$25", "$12.5", "$12", "$50" ]
A
MMLU_train
A man rides at the rate of 20km/hr. But stops 20minutes to change horses at the end of every 30th kilometer. How long will he take to go a distance of 120 kilometers?
[ "5hr", "9hr", "7hr", "6hr 30min" ]
C
speed of man = 20km/hr number of rests = (120/30)-1 = 3 time taken for the man = (120/20)+3*(20/60) = 7 hr Answer is D
AquaRat_train
A trader marks his articles 20% more than the cost price. If he allows 20% discount, then find his gain or loss percent?
[ "7", "8", "6", "4" ]
D
Let CP of an article = RS. 100 MP= Rs. 120 Discount = 20% SP = M[(100 - d%)/100] = 120(80/100) = Rs. 96 Clearly, the trader gets 4% loss. Answer: E
AquaRat_train
Which action is the best method to separate a mixture of salt and water?
[ "using a magnet to extract the salt", "adding a colored dye to the mixture", "pouring the mixture through a filter", "boiling the mixture until the water evaporates" ]
D
MMLU_train
It has more than 845 million users worldwide. If it were a country, _ would have the third largest population in the world, behind China and India. This is Facebook, a popular website from the US. It is similar to Renren in China. Mark Zuckerber was born on May 14, 1984. As a little kid, he loved creating little fun co...
[ "exchange messages", "share information", "do online shopping", "put up photos" ]
C
MMLU_train
The average of runs of a cricket player of 20 innings was 36. How many runs must he make in his next innings so as to increase his average of runs by 4 ?
[ "106", "122", "116", "120" ]
D
Average = total runs / no.of innings = 36 So, total = Average x no.of innings = 36 * 20 = 720 Now increase in avg = 4 runs. So, new avg = 36+4 = 40 runs Total runs = new avg x new no. of innings = 40 * 21 = 840 Runs made in the 11th inning = 840-720 = 120 ANSWER:E
AquaRat_train
A girl goes to her office for work which is 50 miles. She goes to her office few distance by bicycle and remaining by train. The speed of bicycle is 15 mph and that of train is twice of bicycle. If she spend 20 min. more on bicycle, then total time taken by her from going to office from her home?
[ "1 hr 20 min", "2 hr 20 min", "2 hr 50 min", "2 hr 30 min" ]
B
Let time travelled in train is x min then in cycle (x+20) min. (30/60)x + (15/60)(x + 20) = 50 or x = 60 Total time taken 60 + (60 + 20) = 2 hr 20 min ANSWER:B
AquaRat_train
A student stands on a scale, and the scale reads 85 pounds. What is being measured by the scale?
[ "the force of gravity acting on the student", "the air pressure surrounding the student", "the mass of the student", "the volume of the student" ]
A
MMLU_train
Do you want to spend a holiday in space? Dennis Tito, a businessman, has become the world's first "space tourist". He went on a 10-day visit to the International Space Station. He paid 14 million pounds for his journey. A year later, Martin, a musician from an American band, wanted to do the same. He was only 22 years ...
[ "we will explore in space and discover its secrets", "we would rather travel on the earth than in space", "all of us can make a space travel in about 50 years", "we will take actions and look after the earth first" ]
A
MMLU_train
At a few minutes past five, Dave noted that the blanket of darkness was lifting. He was just able to make out the heavier masses that eventually appeared as the familiar trees that lined the road at the base of the hill. The upper reaches of the sky showed lighter shades of gray. Dave got out of bed quietly and dressed...
[ "Dave was hopeful of catching a lot of fish.", "Dave wished the weather would be better.", "Dave was happy that dawn was broken.", "Dave expected someone else would come." ]
A
MMLU_train
Viruses depend on what type of cells?
[ "host cells", "anchor cells", "immune system cells", "blood cells" ]
A
Briefly describe how viruses depend on host cells.
SCiQ_train
What do we call zeros that appear after nonzero digits?
[ "significant digits", "right-end zeros", "left-end zeros", "placeholders" ]
B
4. Zeros that appear after all nonzero digits are called right-end zeros. Right-end zeros in a number that lacks a decimal point are not significant. A. 140 has two significant figures.
SCiQ_train
For a star to form, what force pulls gas and dust into the center of the nebula?
[ "motion", "gravity", "weight", "centrifugal force" ]
B
For a star to form, gravity pulls gas and dust into the center of the nebula. As the material becomes denser, the pressure and the temperature increase. When the temperature of the center becomes hot enough, nuclear fusion begins. The ball of gas has become a star!.
SCiQ_train
Wonderful Museum Hours Monday - Thursday: 10:00 am - 5:00 pm Friday: 10:00 am - 8:00 pm Saturday: 10:00 am - 5:00 pm Sunday: 11:00 am - 5:00 pm Closed on Thanksgiving Day and Christmas Day. The Museum Shop is open during regular museum hours. The Museum Library Monday -Friday: 10:00 am - 5:00 pm The Skyliner Restaurant...
[ "$105.", "$90.", "$210.", "$180." ]
B
MMLU_train
Which is competition?
[ "a giraffe eats the highest leaves", "a bear takes a salmon from the stream", "a shark eats a tuna that an orca was hunting", "a slug eats a blade of grass" ]
C
MMLU_train
What is the process of the blastula forming 3 layers of cells called?
[ "internalization", "gastrulation", "Mitosis", "fermentation" ]
B
Gastrulation The typical blastula is a ball of cells. The next stage in embryonic development is the formation of the body plan. The cells in the blastula rearrange themselves spatially to form three layers of cells. This process is called gastrulation. During gastrulation, the blastula folds upon itself to form the th...
SCiQ_train
The area of a square garden is Q square feet and the perimeter is P feet. If Q=2P+33, what is the perimeter of the garden in feet?
[ "36", "32", "40", "44" ]
D
Let x be the length of one side of the square garden. x^2 = 8x + 33 x^2 - 8x - 33 = 0 (x-11)(x+3) = 0 x = 11, -3 P = 4(11) = 44 The answer is E.
AquaRat_train
How do the vast majority of fish reproduce?
[ "by budding", "sexually", "cloning", "asexually" ]
B
Nearly all fish reproduce sexually, and most species have separate sexes. Those without separate sexes avoid self-fertilization by producing sperm and eggs at different times. Each fish typically produces a large number of gametes. In most fish species, fertilization takes place externally. These fish are oviparous . E...
SCiQ_train
Surface Exploration. Robots make great explorers on planets,moons,and other landing areas. Aside from earth,just about every surface in the solar system is unsafe for humans to explore. The air on most other planets is insufficient for humans to breathe,making it necessary to wear a space suit and oxygen equipment. Th...
[ "The use of robots in space exploration costs more than the use of humans.", "It may be dangerous for humans to explore the solar system except the earth.", "Both the Spirit and Opportunity have found the evidence of water in the Mars.", "Many different types of robots have explored the space successfully." ]
A
MMLU_train
What kind of conditions are often inherited as simple recessive traits?
[ "genetic disorders", "genetic ratios", "genetic neurotransmitters", "genetic diversivers" ]
A
SCiQ_train
John has taken four (4) tests that have an average of 83. In order to bring his course grade up to a ‘B’, he will need to have a final average of 87. What will he need to average on his final two tests to achieve this grade?
[ "97", "95", "87", "92" ]
B
Traditional Method: Total scored till now 83*4=332 Total score to avg 87 in 6 tests = 87*6=522 Total to be scored on 2 tests = 522-332=190 Avg on 2 tests = 190/2 = 95 Answer: D
AquaRat_train
A star is a large astronomical body that
[ "reflects light.", "condenses light.", "emits light.", "absorbs light." ]
C
MMLU_train
The S.I. on a certain sum of money for 3 years at 8% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?
[ "1750", "2197", "1262", "2267" ]
A
Explanation: C.I. = [4000 * (1 + 10/100)2 - 4000] = (4000 * 11/10 * 11/10 - 4000) = Rs. 840. Sum = (420 * 100)/(3 * 8) = Rs. 1750 Answer:C
AquaRat_train
Which of the following would be reason for animals to leave their environment?
[ "Hurricane", "Temperature", "Predators", "Illness" ]
A
MMLU_train
Mr Sharad started a business investing 50000. Four months later Mr Praveen joined the business by investing 90000. If the profit in the business at the end of the year was 22000 how much amount would Mr Praveen have received as the profit?
[ "16000", "11000", "12000", "14000" ]
C
Ratio of their investment = 50000 × 12 : 90000 × 8 = 5 : 6 \ Amount received by Praveen = 6⁄11 × 22,000 = 12,000 Answer C
AquaRat_train
A hydraulic jack that makes it possible to lift a car easily is an example of what, meaning it produces mechanical advantages?
[ "quantum physics", "simple weapon", "complex machines", "simple machine" ]
D
A person is able to lift the entire rear end of the automobile using only one hand with the hydraulic jack shown in the image. Hydraulic systems are similar to simple machines in that they can produce very large mechanical advantages.
SCiQ_train
What is a process that changes some chemical substances into other chemical substances?
[ "spontaneous mutation", "cellular respiration", "a chemical reaction", "a bio reaction" ]
C
A chemical reaction is a process that changes some chemical substances into other chemical substances. The substances that start a chemical reaction are called reactants . The substances that form as a result of a chemical reaction are called products . During the reaction, the reactants are used up to create the produ...
SCiQ_train
Ever since man began to use the telephone, there have been new problems arising from the carrying of messages. At first, each message was carried by a pair of overhead wires. As a result, telephone exchanges were soon surrounded by thousands of wires. The wires were then replaced by cables ,each containing many pairs ...
[ "growing", "using", "holding", "understanding" ]
A
MMLU_train
Le Whif, an inhaler that allows chocolate lovers to meet their needs whenever they please without putting on weight, is to be released in British stores. The invention, called the world's first breathable food by its creators, let consumers suck in the taste of chocolate and coffee while taking on less than one calori...
[ "customers can buy Le Whif all over the world", "Le Whif hasn't been made available in British stores", "Le Whif can help to lose weight but is harmful to health", "Le Whif contains hundreds of tiny food particles which are small enough to enter the lungs" ]
B
MMLU_train
What system disorders include kidney stones, kidney failure, and urinary tract infections?
[ "digestive system", "nervous system", "renal system", "urinary system" ]
D
Disorders of the urinary system include kidney stones, kidney failure, and urinary tract infections.
SCiQ_train
An excellent solvent that holds heat well and allows hydrogen bonds, what substance has many properties critical to life?
[ "water", "liquid", "plasma", "blood" ]
A
2.2 Water Water has many properties that are critical to maintaining life. It is polar, allowing for the formation of hydrogen bonds, which allow ions and other polar molecules to dissolve in water. Therefore, water is an excellent solvent. The hydrogen bonds between water molecules give water the ability to hold heat ...
SCiQ_train
By what process does oxygen enter the pores of flatworms?
[ "diffusion", "absorption", "permeation", "filtration" ]
A
Flatworms do not have a respiratory system. Instead, they have pores that allow oxygen to enter through their body. Oxygen enters the pores by diffusion.
SCiQ_train
A car traveled the first quarter of a certain distance at one-seventh the speed it traveled the remaining distance. What proportion of the total time traveled, was the time taken to travel the first quarter of the distance?
[ "1/25", "1/22", "1/27", "1/28" ]
B
These problems can be solved through algebra or sly number picking. Being a big fan of solving problems with numbers, let's pick a total distance divisible by 4 (say 40) so we can break it up into quarters, and a speed that can easily be one-seventh, say 10. Each quarter is thus 10 kilometers (or miles or feet or angst...
AquaRat_train
What nerves attached to the brain are mainly responsible for motor and sensory functions?
[ "autonomic nerves", "somatic nerves", "stimulation nerves", "cranial nerves" ]
D
Cranial Nerves The nerves attached to the brain are the cranial nerves, which are primarily responsible for the sensory and motor functions of the head and neck (one of these nerves targets organs in the thoracic and abdominal cavities as part of the parasympathetic nervous system). There are twelve cranial nerves, whi...
SCiQ_train
Which is the most likely scenario
[ "squirrels save nuts when summer is hotter than the current season", "squirrels never save food", "squirrels eat when it rains outside only", "squirrels save nuts when humans make them" ]
A
MMLU_train
Below is an entry taken from an English dictionary. Scratch Verb. noun. adjective #Verb rub with your nails 1~(at sth) to rub your skin with your nails, usually because it is ITCHING:[(VN)] John yawned and scratched his chin.* The dog scratched itself behind the ear. *[(V)] Try not to scratch. * She scratched at the i...
[ "remove any marks", "damage its surface", "make any noises", "change its position" ]
B
MMLU_train
Sexual signaling molecules released by fungi are known as what?
[ "hormones", "vibrations", "pheromones", "sperm" ]
C
SCiQ_train
Researchers around the world have been trying their hand at making better use of the huge amount of wind energy available in nature to produce clean energy. Apart from this, studies are being carried out to harness usable wind energy produced by man-made technologies. One useful source identified by Indian inventor Sa...
[ "260 KWH.", "2.6 KWH.", "150 KWH.", "1.5 KWH." ]
A
MMLU_train
Introductory Chemistry was taught at Duke University for many years by professor Bonk. One year, two guys took the class and did pretty well on all the quizzes and mid-terms. They each had a solid A. These two friends were so confident in going into the final that the weekend before finals week, despite the Chemistry f...
[ "may apology to professor Bonk", "must have the same scores", "wouldn't be confident in their Chemistry", "would feel happy and relieved" ]
A
MMLU_train
While smooth muscle tissue can regenerate from stem cells called pericytes, dead cardiac muscle tissue is replaced by what type of tissue?
[ "embryo tissue", "Maximum", "neon tissue", "scar tissue" ]
D
10.9 Development and Regeneration of Muscle Tissue Muscle tissue arises from embryonic mesoderm. Somites give rise to myoblasts and fuse to form a myotube. The nucleus of each contributing myoblast remains intact in the mature skeletal muscle cell, resulting in a mature, multinucleate cell. Satellite cells help to repa...
SCiQ_train
My house is made out of wood, glass and stone. It is also made out of software. If you come to visit, you'll probably be surprised when you come in. Someone will give you an electronic PIN to wear. This PIN tells the house who and where you are. The house uses this information to give you what you need. When it's dark...
[ "How to develop a new system.", "The function of the PIN.", "A home for the future.", "Easy life in the future." ]
C
MMLU_train
A circuit that consists of two loops is called a what?
[ "parallel circuit", "unnatural circuit", "complex circuit", "diverse circuit" ]
A
A circuit that consists of two loops is called a parallel circuit. If one loop of a parallel circuit is interrupted, current can still flow through the other loop.
SCiQ_train
What is the main function of the cardiovascular system?
[ "coordinate bones and muscles", "excretion of food waste", "transporting substances around the body", "respiration of air" ]
C
The main function of the cardiovascular system is transporting substances around the body. Figure above shows some of the substances that are transported in the blood. They include hormones, oxygen, nutrients from digested food, and cellular wastes. Transport of all these materials is necessary to maintain homeostasis ...
SCiQ_train
The probability that a brand A widget is defective is x, the probability that a brand B widget is defective is 0.06, and the probability that a brand C widget is defective is 0.08. There are 40 brand A widgets, 35 brand B widgets, 25 brand C widgets, and nothing else in a container. If a widget is selected at random fr...
[ "0.04", "0.05", "0.055", "0.02" ]
C
Given probability of defective items in each brand, So, the number of items defective in brand A=x*40, in brand B=0.06*35 and brand C=0.08*25 Total number of widgets=40+35+25=100 the probability that the widget selected is defective is 0.063=(x*40+0.06*35+0.08*25)/100 => 40x+2.1+2=6.3 =>40x=2.2 >x=2.2/40=0.055 Ans E
AquaRat_train
It is obvious that doctors recognize obesity as a health problem. So why is it so hard for them to talk to their patients about it? The results of two surveys, one of primary care physicians and the other of patients, found that while most doctors want to help patients lose weight and think it is their responsibility t...
[ "About 350.", "About 390.", "About 900.", "About 1,000." ]
A
MMLU_train
A student recorded the amount of rain that fell in one year in his city. What is the best way for him to organize his information?
[ "diagram", "graph", "journal", "map" ]
B
MMLU_train
What decreases with the loss of subsequent protons?
[ "seawater strength", "Movement strength", "example strength", "acid strength" ]
D
Polyprotic Acids and Bases As you learned in Chapter 4 "Reactions in Aqueous Solution", polyprotic acids such as H2SO4, H3PO4, and H2CO3 contain more than one ionizable proton, and the protons are lost in a stepwise manner. The fully protonated species is always the strongest acid because it is easier to remove a proto...
SCiQ_train
Choose a number between 1 and 10. Add 4 and double the result. Subtract 3, then, multiply by 3. Subtract 5 times one more than the original number. Tell me the answer and I will tell you your original number.
[ "x-10", "10x", "x+10", "10-x" ]
C
The calculation described in this problem is 3(2 (4+ x) -3) - 5(x + 1), we can use the Rules to rewrite the expression as follows: = 3 (2 (4 + x) - 3) - 5(x + 1) = 3 (8 + 2 x - 3) -5 x - 5 = 3 (2 x + 5) - 5x -5 = 6x + 15 - 5x - 5 = (6 - 5)x + 15 -5 = x + 10 Answer: B
AquaRat_train
We know the mosquito very well. Mosquitoes fly everywhere. They can be found almost all over the world, and there are more than 2,500 kinds of them. No one likes the mosquito. But the mosquito may decide that she loves you. She? Yes,she. It's true that male mosquito doesn't bite and only the female mosquito bites beca...
[ "get angry with you", "be afraid of you", "make a lot of noise", "choose another one" ]
D
MMLU_train
What molecule consists of two atoms of hydrogen and one atom of oxygen?
[ "air", "hydrogen peroxide", "carbon monoxide", "water" ]
D
Water is an example of a common chemical compound. As you can see in the Figure below , each water molecule consists of two atoms of hydrogen and one atom of oxygen. Water always has this 2:1 ratio of hydrogen to oxygen. Like water, all compounds consist of a fixed ratio of elements. It doesn’t matter how much or how l...
SCiQ_train
If 5a + 7b = g, where a and b are positive integers, what is the largest possible value of g for which exactly one pair of integers (a, b) makes the equation true?
[ "69", "70", "48", "74" ]
B
5*a1 + 7*b1 = g 5*a2 + 7*b2 = g 5*(a1 - a2) = 7*(b2 - b1) since we are dealing with integers we can assume that a1 - a2 = 7*q and b2 - b1 = 5*q where q is integer, so whenever we get a pair for (a;b) we can find another one by simply adding 7 to a and subtracting 5 from b or vice versa, subtracting 7 from a and adding ...
AquaRat_train
A can do a work in 12days. When he had worked for 3days, B joinedhim. If they complete the work in 3more days, in how manydays can Balone finish the work?
[ "6 days", "7 days", "3 days", "9 days" ]
A
sax Work done by Afar 3 days : i J .. Remzming war — 1 .Work done by (A + B) for 1 day : . Work done by a for 1 day 6 days C
AquaRat_train
The anterior pituitary produces seven different what, each with a special function?
[ "hormones", "proteins", "enzymes", "neurotransmitters" ]
A
Anterior Pituitary The anterior pituitary gland, or adenohypophysis, is surrounded by a capillary network that extends from the hypothalamus, down along the infundibulum, and to the anterior pituitary. This capillary network is a part of the hypophyseal portal system that carries substances from the hypothalamus to the...
SCiQ_train
What is the least dangerous radioactive decay?
[ "gamma decay", "alpha decay", "beta decay", "zeta decay" ]
B
All radioactive decay is dangerous to living things, but alpha decay is the least dangerous.
SCiQ_train
amphibians hatch from
[ "trees", "rocks", "the sky", "calcium life pods" ]
D
MMLU_train
A train 125 m long passes a man, running at 10 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
[ "55 km/hr", "65 km/hr", "15 km/hr", "17 km/hr" ]
A
Speed of the train relative to man = 125/10 = 25/2 m/sec. = 25/2 * 18/5 = 45 km/hr Let the speed of the train be x km/hr. Then, relative speed = (x - 10) km/hr. x - 10 = 45 => x = 55 km/hr. Answer: C
AquaRat_train
Two trains run in opposite directions on a circular track. Train A travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point W at the same time, how long, in hours, after the trains depart will they again meet at Poi...
[ "6", "3", "22", "9" ]
A
I don't agree with your solutions, first. And second the answer choices don't seem to contain the right answer. My solution is as follows, and I ask anyone to correct me if I am wrong. Solution 1 Let the distance covered by train A be X, thus that covered by the train B will be 12*3.14-X dA = X dB = 12*3.14 - X Times t...
AquaRat_train
If selling price is doubled, the profit triples. Find the profit percent:
[ "320", "170", "280", "100" ]
D
C 100% Let C.P. be Rs. x and S.P. be Rx. y. Then, 3(y - x) = (2y - x) => y = 2x Profit = (y - x) = Rs. (2x - x) = Rs. x Profit % = x/x * 100 = 100%.
AquaRat_train
Man is the most intelligent animal created by God because God has given him language which other animals do not have. Communication makes life extremely convenient and easy. Language plays a very important role in life as any emotion can be easily and effectively conveyed through language to anyone. But all this is a...
[ "What messages animals can convey.", "Why life is easier for human beings.", "Why man is the most intelligent animal.", "How animals communicate with each other." ]
D
MMLU_train
A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train?
[ "250 m", "535 m", "178 m", "150 m" ]
A
Speed = 60 * 5/18 = 50/3 m/sec Length of the train = speed * time = 50/3 * 15 = 250 m Answer:C
AquaRat_train
Graphite and diamond both are made from carbon. what makes diamonds so hard?
[ "strong metallic network", "strong light network", "weak atomic network", "strong atomic network" ]
D
Sometimes two different minerals have the same chemical composition. But they are different minerals because they have different crystal structures. Diamonds are beautiful gemstones because they are very pretty and very hard. Graphite is the “lead” in pencils. It's not hard at all! Amazingly, both are made just of carb...
SCiQ_train
As the only physician in a small local clinic and hospital, Katrina Poe sees dozens of patients on any given day. She's on call at the hospital in Kilmichael every day, and she gets little time with her sons, aged 3 and 3 months. But the country doctor doesn't complain about her job. It's the one she chose for herself ...
[ "Poe is too busy to spare time for her family.", "Poe decided to be a doctor when she was in Grade 5.", "There are three doctors in Poe's family.", "Poe's husband takes pride in her." ]
C
MMLU_train
A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 6 feet long. If a certain fence begins and ends with a post, which of the following could not be the length of the fence in feet? (12 inches = 1 foot)
[ "33", "52", "59", "46" ]
B
There is one post for each length of chain, plus one final post at the end. The length of the fence in feet is 6.5x + 0.5, where each is the number of chain lengths. The length of the fence is an integer when x = 1,3,5,7,... The length of the fence could be 7, 20, 33, 46, 59,... The answer is D.
AquaRat_train
If hot water becomes trapped, pressure may build up. when the water breaks free, it creates what?
[ "groundwater", "steam", "geyser", "glacier" ]
C
If hot water becomes trapped, pressure may build up. When the water breaks free, it creates a geyser.
SCiQ_train
Gold is 10 times as heavy as water and copper is 5 times as heavy as water. In what ratio should these be mixed to get an alloy 8 times as heavy as water?
[ "3:2", "5:2", "1:2", "4:3" ]
A
G = 10W C = 5W Let 1gm of gold mixed with x gm of copper to get 1+x gm of the alloy 1gm gold + x gm copper = x+1 gm of alloy 10W+5Wx = x+1 * 8W 10+5x = 8(x+1) x = 2/3 Ratio of gold with copper = 1:2/3 = 3:2 Answer is A
AquaRat_train
What effect causes winds and currents to form circular patterns?
[ "coriolis effect", "jet stream", "centrifugal effect", "horse latitudes" ]
A
The Coriolis effect causes winds and currents to form circular patterns. The direction that they spin depends on the hemisphere that they are in.
SCiQ_train
A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?
[ "85 days", "45 days", "15 days", "65 days" ]
C
B's 1 day work = (1/12 - 1/20) = 1/30 Now, (A + B)'s 1 day work = (1/20 + 1/60) = 1/15 So, A and B together will complete the work in 15 days. Answer:C
AquaRat_train
How many times will the digit 6 be written when listing the integers from 1 to 1000?
[ "420", "150", "310", "300" ]
D
Many approaches are possible. For example: Consider numbers from 0 to 999 written as follows: 1. 000 2. 001 3. 002 4. 003 ... ... ... 1000. 999 We have 1000 numbers. We used 3 digits per number, hence used total of 3*1000=3000 digits. Now, why should ANY digit have preferences over another? We used each of 10 digits eq...
AquaRat_train
What subphylum, which includes crabs and crayfish, represents the dominant aquatic arthropods?
[ "arachnids", "crustaceans", "sponges", "invertebrates" ]
B
Crustaceans, such as shrimp, lobsters, crabs, and crayfish, are the dominant aquatic arthropods. A few crustaceans are [3] terrestrial species like the pill bugs or sow bugs. The number of described crustacean species stands at about 47,000. Although the basic body plan in crustaceans is similar to the Hexapoda—head, t...
SCiQ_train
The sale price sarees listed for Rs.400 after successive discount is 20% and 15% is?
[ "272", "269", "762", "297" ]
A
400*(80/100)*(85/100) = 272 Answer: B
AquaRat_train
Atoms of what element ultimately form in a red supergiant?
[ "steel", "gold", "iron", "coal" ]
C
In a red supergiant, fusion does not stop. Lighter atoms fuse into heavier atoms. Eventually iron atoms form.
SCiQ_train
A three digit number consists of 9,5 and one more number . When these digits are reversed and then subtracted from the original number the answer yielded will be consisting of the same digits arranged yet in a different order. What is the other digit
[ "4", "7", "5", "6" ]
A
954 -459 --------- 495 Rearrenge=954 ANSWER:B
AquaRat_train
A chemical reaction may occur when _____ is added to an object.
[ "interest", "warmth", "puppies", "loss" ]
B
MMLU_train
Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is ?
[ "5/19", "5/12", "5/16", "5/17" ]
B
Using question number 11 and 12, we get the probability as 1 - (1/36 + 5/9) = 5/12 Answer: B
AquaRat_train
What happens to the core of a star when it begins to run low on hydrogen?
[ "it expands", "it explodes", "it contracts", "it disappears" ]
C
series of stages a sexually reproducing organism goes through from one generation to the next.
SCiQ_train