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Three business people who wish to invest in a new company. Each person is willing to pay one third of the total investment. . After careful calculation, they realize that each of them would pay $ 7500 less if they could find two more equal investors. How much is the total investment in the new business.
[ "d)\t$ 5,400", "a)\t$ 64,000", "c)\t$ 21,000", "b)\t$ 56,250" ]
D
Initially each invest in x. Hence total investment is 3x. Total investment is also 5(x-7500). 3x = 5(x-7500) x= 5*7500/2 = 18750 3x = 56250 and the answer is B.
AquaRat_train
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days then the fraction of the work that is left is?
[ "9/13", "7/15", "8/15", "1/10" ]
C
Explanation: A’s one day work = 1/15 B’s one day work = 1/20 (A+B )’s one day work is = 1/15 +1/20 = 7/60 their 4 days work = 4 x 7/60 = 7/15 Remaining work = 8/15 Answer: Option D
AquaRat_train
When 8 fair coins are tossed simultaneously, in how many outcomes will the first and the last coin turn up heads?
[ "64", "31", "3", "1" ]
A
Total outcome is 2^8 = 256 Favourable cases = H_ _ _ _ _ _ H The second to seventh places can be occupied by either H or T There are 2^6 =64 ways that can be done. Hence, the correct option is E
AquaRat_train
John has 6 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 12 shoes, what is the probability that she will select 2 shoes of the same color?
[ "1/9", "1/11", "2/5", "1/5" ]
B
Can be tackled in this way as well: Probability of selecting any 1 out of 12 shoes = 12/12 = 1 Probability of selecting the next shoe (out of 12 available) having the same color = 1/9 (as after selecting the 1st one, there is only 1 another shoe left with the same color). Thus the total probability = 1*1/11=1/11. E is ...
AquaRat_train
At the end of the day one market stall had 16 apples and 48 oranges left. Another market stall had 36 apples and 24 oranges left. What is the difference between the percentages of apples left in the two market stalls?
[ "35%", "37%", "40%", "38%" ]
A
D 35% First stall 16 out of 64= 25%. Second stall 36 out of 60 = 60%. Difference in percentages = 35%.
AquaRat_train
Sir John a British scientist who won last year's Nobel prize for medicine, said he had predicted at the time of his frog experiments that the successful cloning of a mammal would happen within 50 years.and that "maybe the same answer is appropriate" far the step to human cloning. Parents who lose children in accidents ...
[ "Louise Brown is the first \"test tube baby\".", "Human cloning is still a controversial topic.", "Sir John is positive about the future of human cloning.", "Human cloning is creating something that didn't exist before." ]
D
MMLU_train
Solve the following quadratic equation by factoring. X2+15X=50
[ "6,3", "5,10", "-5,10", "10,4" ]
C
Now all we need to do is use the zero factor property to get, X+5 = 0 X=-5 OR X+10=0, X = -10 ANSWER D
AquaRat_train
Chemical digestion in the small intestine cannot occur without the help of the pancreas and what bile-producing organ?
[ "heart", "kidney", "liver", "stomach" ]
C
23.6 Accessory Organs in Digestion: The Liver, Pancreas, and Gallbladder Chemical digestion in the small intestine cannot occur without the help of the liver and pancreas. The liver produces bile and delivers it to the common hepatic duct. Bile contains bile salts and phospholipids, which emulsify large lipid globules ...
SCiQ_train
What is the average (arithmetic mean) of the numbers 15, 16, 17, 17, 18, and 19?
[ "16.5", "14.2", "17.5", "17" ]
D
The average of 15,16,17,18,19 ( sequence numbers) is 17 & now average of 17 & 17(remaining digit from given list) is 17 . Hence answer is 17. ANSWER:C
AquaRat_train
Birds have a flow-through respiratory system in which air flows unidirectionally from the posterior sacs into the lungs, then into these?
[ "gills", "anterior air sacs", "posterior bronchi", "alveoli" ]
B
Figure 39.14 (a) Birds have a flow-through respiratory system in which air flows unidirectionally from the posterior sacs into the lungs, then into the anterior air sacs. The air sacs connect to openings in hollow bones. (b) Dinosaurs, from which birds descended, have similar hollow bones and are believed to have had a...
SCiQ_train
What type of habitat do ferns need to grow?
[ "dry", "elevated", "moist", "cold" ]
C
Ferns 11,000 They have large leaves in fronds. They have stiff stems, so they are tall growing; some are trees. They reproduce with spores. They need a moist habitat.
SCiQ_train
Last week, I was invited to a doctor's meeting at the Ruth Hospital. In one of the rooms a patient, an old man, got up from his bed and moved slowly towards me. I could see that he hadn't long to live, but he came up to me and placed his right foot close to mine on the floor. "Frank!" I cried in surprise. He couldn't a...
[ "He was told that Frank was in the hospital.", "He was invited to study Frank's illness.", "Frank's name was written on the door.", "Frank greeted him in a special way." ]
D
MMLU_train
The posterior half of the foot is formed by seven tarsal bones. the most superior of these bones is called?
[ "patella", "metatarsal", "talus", "calcareous" ]
C
Tarsal Bones The posterior half of the foot is formed by seven tarsal bones (Figure 8.19). The most superior bone is the talus. This has a relatively square-shaped, upper surface that articulates with the tibia and fibula to form the ankle joint. Three areas of articulation form the ankle joint: The superomedial surfac...
SCiQ_train
What is considered to be a unique feature of echinoderms?
[ "water vascular system", "oil vascular system", "iron vascular system", "air vascular system" ]
A
A unique feature of echinoderms is their water vascular system. This is a network of canals that extends along each body part. In most echinoderms, the canals have external projections called tube feet (see Figure below ). The feet have suckers on the ends. Muscle contractions force water into the feet, causing them to...
SCiQ_train
What is the most widely accepted theory explaining how muscle fibers contract?
[ "sliding filament theory", "sliding carbon theory", "sliding tritium theory", "sliding pigment theoery" ]
A
The most widely accepted theory explaining how muscle fibers contract is called the sliding filament theory . According to this theory, myosin filaments use energy from ATP to “walk” along the actin filaments with their cross bridges. This pulls the actin filaments closer together. The movement of the actin filaments a...
SCiQ_train
Which system refers to the skin and its accessory structures?
[ "tomoxia system", "integumentary system", "digestive system", "malpighian system" ]
B
What do you think when you look at your skin in the mirror? Do you think about covering it with makeup, adding a tattoo, or maybe a body piercing? Or do you think about the fact that the skin belongs to one of the body’s most essential and dynamic systems: the integumentary system? The integumentary system refers to th...
SCiQ_train
The sum of all consecutive odd integers from −25 to 35, inclusive, is
[ "195", "135", "130", "155" ]
D
The sum of the odd numbers from -25 to +25 is 0. Let's add the remaining numbers. 27+29+31+33+35 = 5(31) = 155 The answer is C.
AquaRat_train
Never give out identifying information such as Name, Home Address, School name, or Telephone Number in a public message such as at a chat room or on bulletin bards. Never send a person a picture of you without first checking with your parents or guardian. * Never respond to messages or bulletin board items that are: Su...
[ "it is not safe to surf the internet", "people now are no longer honest", "we can chat with unfamiliar people online", "people online are not who they are" ]
C
MMLU_train
What is found inside the pores of spongy bone?
[ "liquid marrow", "green marrow", "rupture marrow", "bone marrow" ]
D
Bone marrow is a soft connective tissue that produces blood cells. It is found inside the pores of spongy bone.
SCiQ_train
Found: A black pen is in the library. Is it yours? I am Lucy. E-mail me at lucy556@hotmail.com. Lost: I am Anna. I lost my computer game. It is blue. My telephone number is 471-4295. Call me! Thanks! Lisa, Is this your dictionary? Your name is on it. I found it in Classroom 6A. Tom Found: I found a ring. It is nice. Pl...
[ "Classroom 9A", "Classroom 8A", "Classroom 7A", "Classroom 6A" ]
D
MMLU_train
Iridescent green beetles, known as jewel beetles, change color because of the light-reflecting properties of the cells that make up this?
[ "their hairs", "their wings", "their external skeleton", "their scales" ]
C
Each section contains a liquid crystal sample with a different liquid crystalline range. The section whose liquid crystalline range corresponds to the temperature of the body becomes translucent (here shown in green), indicating the temperature. We also see the effect of liquid crystals in nature. Iridescent green beet...
SCiQ_train
Working individually, Julie can peel potatoes in 10 hours and Ted can peel potatoes in 8 hours. If Julie and Ted work together but independently at the task for 4 hours, at which point Ted leaves, how many remaining hours will it take Julie to complete the task alone?
[ "1/4", "1", "3/15", "2/11" ]
B
In first 4 hrs Ted will finish 4/8 = 1/2 of work and Julie will finish 4/10 work so total 1/2 + 2/5 = 9/10 work is finished and 1-9/10 = 1/10 work remaining. Now Julie will take (1/10)*10 = 1 hrs to finish it. So answer is E.
AquaRat_train
Chelicerata are know for their first pair of appendages, also know as what?
[ "chelicerae", "chelicides", "ambers", "maxillae" ]
A
Subphylum Chelicerata includes animals such as spiders, scorpions, horseshoe crabs, and sea spiders. This subphylum is [4] predominantly terrestrial, although some marine species also exist. An estimated 103,000 described species are included in subphylum Chelicerata. The body of chelicerates may be divided into two pa...
SCiQ_train
What is the property by which water molecules stick together?
[ "plasticity", "tension", "cohesion", "vitality" ]
C
Water has some unusual properties due to its hydrogen bonds. One property is cohesion , the tendency for water molecules to stick together. The cohesive forces between water molecules are responsible for the phenomenon known as surface tension . The molecules at the surface do not have other like molecules on all sides...
SCiQ_train
About five states in Nigeria will experience a total eclipse of the sun on March 29, 2006, according to a forecast by the Ministry of Science and Technology this week. An eclipse occurs in one of two ways: when the moon passes between the earth and the sun so that all or part of the sun cannot be seen for a time, or...
[ "predict a eclipse of the sun in Nigeria", "compare a eclipse of the sun with a eclipse of the moon", "provide information on a coming eclipse of the sun in Nigeria", "show that people in Nigeriareceive little education" ]
C
MMLU_train
Are you sometimes a little tired and sleepy in the early afternoon? Many people feel this way after lunch.They may think eating lunch is the cause of the sleepiness.Or,in summer, they may think it is the heat.However, the real reason lies inside their bodies.At that time--about eight hours after you wake up--your body ...
[ "About 12:30 p.m.", "About 1:30 p.m.", "About 2:30 p.m.", "About 3:30 p.m." ]
C
MMLU_train
Female monotremes share what external opening with reptiles and birds?
[ "cloaca", "vagina", "urethra", "anus" ]
A
Female monotremes lack a uterus and vagina. Instead, they have a cloaca with one external opening, like the cloaca of reptiles and birds. The opening is used to excrete wastes as well as lay eggs. The eggs of monotremes have a leathery shell, like the eggs of reptiles. Female monotremes have mammary glands but not nipp...
SCiQ_train
We gather a great deal of incidental knowledge from pets.If we look after them properly we learn what they like and dislike. We do not set out to gain this knowledge purposely, but in attending to our pets we gain it by the way. It is got without our realizing it. In keeping our dogs or cats we learn about various ...
[ "they eat a lot", "they rely too much on people", "there is little space for them to move around", "the responsibility is too great" ]
C
MMLU_train
It was getting late. There was no noise in the forest. We could only hear the birds singing. And then, a bear--a big brown bear--came into the forest. The bear stopped under a tall tree. He was very hungry. He looked up into the tree. There in the nut tree was his supper--a supper of nice nuts. But the nuts were high u...
[ "in the morning", "at noon", "before evening ca", "at midnight" ]
C
MMLU_train
A bag has 9 green balls and 23 pink balls. How many green balls should be added to the bag so that the ratio of green balls and pink balls in the bag becomes 1:1?
[ "11", "14", "12", "13" ]
B
Suppose x green balls need to be added. Then, the number of green balls becomes 9 + x, and the number of pink balls remains the same, 23. But now the ratio of green and pink balls is 1:1 This means, (9 + x)/23 = 1/1 Solving this we get x = 14. Ans E
AquaRat_train
Many people say dolphins are very intelligent. They seem to be able to think, understand, and learn things quickly. But are they smart like humans or more than cats or dogs? Dolphins use their brains differently from people. But scientists say dolphin intelligence and human intelligence are similar in some ways. How? F...
[ "A body language.", "A special whistle.", "Its feeling.", "Its age." ]
B
MMLU_train
What kind of compounds are named for their positive metal ion first, followed by their negative nonmetal ion?
[ "magnetic compounds", "ionic compounds", "magnetic compounds", "horizontal compounds" ]
B
Ionic compounds are named for their positive metal ion first, followed by their negative nonmetal ion.
SCiQ_train
What do body cells use for energy?
[ "sugars", "chlorophyll", "mixtures", "solvents" ]
A
A: You may eat a wide variety of carbohydrates—from sugars in fruits to starches in potatoes. However, body cells use only sugars for energy.
SCiQ_train
Stars spend most of their lives on the main sequence, fusing hydrogen into what?
[ "nitrogen", "helium", "carbon", "neon" ]
B
Stars spend most of their lives on the main sequence, fusing hydrogen into helium.
SCiQ_train
The correct procedure after completing a laboratory experiment is to
[ "put all non-reusable glass in the trash.", "pour all used chemicals down the sink.", "collect and store recyclable material.", "return used samples to natural settings." ]
C
MMLU_train
Most children have heard their parents at one time or another yell "sit up straight!" or "don't slouch!" In the past, this was usually heard at the dinner table as children ate dinner. But these days, it is also heard around another activity-video games. Ten-year old Owaish Batliwala, from Mumbai, India, admits he spen...
[ "the number of young children with chronic pain in their necks, arms and shoulders is decreasing", "the culprit is smart phones and the gadgets", "there are more smartphone users in India than anywhere else in the world", "the number of smartphone users in India is 651 million" ]
B
MMLU_train
A genetic molecule is called dna, which stands for this?
[ "di-nitrous ammonia", "deoxyribonucleic acid", "dense ribonucleic acid", "dark nitrogen amine" ]
B
How Sciences Interconnect DNA in Forensics and Paternity The genetic material for all living things is a polymer of four different molecules, which are themselves a combination of three subunits. The genetic information, the code for developing an organism, is contained in the specific sequence of the four molecules, s...
SCiQ_train
The kiwi bird The kiwi bird is a flightless bird,about the size of a chicken. It sleeps during the day and is active at nighttime. It has a long beak that is onethird the length of its body, and its beak actually has nostrils at the end. The kiwi is the only bird with this feature. Another unique feature of the kiwi ...
[ "the large size of their eggs", "the food they feed on", "their appearance", "their unique cry" ]
D
MMLU_train
A shopkeeper sells some toys at Rs. 250 each. What percent profit does he make? To find the answer, which of the following information given in Statements I and II is/are necessary? I. Number of toys sold. II. Cost price of each toy.
[ "Only I is necessary", "Either I or II ins necessary", "Only II is necessary", "None of these" ]
C
EXPLANATION S.P. = Rs. 250 each. To find gain percent, we must know the C.P. of each. answer is (B).
AquaRat_train
The average weight of 20 persons sitting in a boat had some value. A new person added to them whose weight was 50 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 20 persons?
[ "55", "57", "59", "56" ]
A
20x + 50 = 21(x – 5) X=55 ANSWER:A
AquaRat_train
A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.48, find the sum of money?
[ "267", "288", "262", "246" ]
D
A:B:C = 100:65:40 = 20:13:8 8 ---- 48 41 ---- ? => Rs.246 Answer: C
AquaRat_train
Liu Yingying is a student at No. 17 Middle School in Shanghai. She is 14 years old. She likes English and she often reads English books at home. She can speak English well and write many English words. She likes speaking English with her classmates and teachers at school. Her teachers like her. Liu Yingying likes mus...
[ "She is ten.", "She is twelve.", "She is thirteen.", "She is fourteen." ]
D
MMLU_train
In tests, it shrank breast tumours by 80 percent and researchers believe it could also treat prostate, pancreatic, bowel and ovarian cancers. Even tumours that resist treatment with the best medicines on the market, including the "wonder drug" Herceptin, may surrender to the vaccine. The experiments so far have been on...
[ "It employs the power of the immune system to fight cancerous cells.", "It deprives a protein called MUC1 of its sugar.", "It attacks cancer cells like many drugs", "It destroys tumors along with healthy tissue" ]
A
MMLU_train
What would be removed via the kidneys?
[ "bacteria", "organs", "blood", "skin" ]
A
MMLU_train
What color is the brittle metalloid tallurium?
[ "silvery white", "brownish black", "yellowish green", "purplish blue" ]
A
Tellurium is a silvery white, brittle metalloid. It is toxic and may cause birth defects. Tellurium can conduct electricity when exposed to light, so it is used to make solar panels. It has several other uses as well. For example, it makes steel and copper easier to work with and lends color to ceramics.
SCiQ_train
In a hostel, the number of students decreased by 8% and the price of food increased by 20% over the previous year. If each student consumes the same amount of food then By how much should the consumption of food be cut short by every student, so that the total cost of the food remains the same as that of the previous y...
[ "19%", "9.4%", "25%", "15%" ]
B
Cost of food (C) = Food consumed per student (F) * Number of students (N) * Price of food (P) Originally, C = FNP When number of students decrease by 8%, and the price of food increases by 20%, C = F(new) * (0.92N) * (1.2P) => F(new) = F/(0.92*1.2) => F(new) = 0.906F Therefore the new cost of food must be 90.6% of the ...
AquaRat_train
How many chambers does an amphibian heart have?
[ "two", "four", "three", "one" ]
C
Amphibians have a relatively complex circulatory system with a three-chambered heart. Their nervous system is also rather complex, allowing them to interact with each other and their environment. Amphibians have sense organs to smell and taste chemicals. Other sense organs include eyes and ears. Of all amphibians, frog...
SCiQ_train
Amplification that occurs in which cells often requires signal transduction pathways involving second messengers?
[ "sensory receptor", "axons", "catayst cells", "optic nerves" ]
A
SCiQ_train
Satellites are an important part of our ordinary lives.For example, the information for weather forecasts is sent by satellite.Some satellites have cameras which take photographs of the Earth to show how clouds are moving.Satellites are also used to connect our international phone calls. Computer connections of the Wor...
[ "In order to take photographs.", "In order to stay in a certain position in the orbit.", "In order to move away from its orbit.", "In order to send television pictures." ]
B
MMLU_train
Carol is Four times Alice’s age but only twice as old as Betty. Alice is eighteen years younger than Carol. How old is Betty?
[ "18", "12", "6", "9" ]
D
ans B..9.. given that C=4A=2B..AND A=C-18=4A-18 substituting the values A=6,C=18 AND B=9..
AquaRat_train
What's the term for a piece of an organism breaking off and forming a new organism?
[ "extinction", "fragmentation", "improvization", "depletion" ]
B
Fragmentation occurs when a piece breaks off from a parent organism. Then the piece develops into a new organism. Sea stars, like the one in Figure below , can reproduce this way. In fact, a new sea star can form from a single “arm. ”.
SCiQ_train
Magnesium strips are long, thin strips that are gray and shiny. Which action will lead to a chemical change of magnesium strips?
[ "putting them in the freezer", "burning them with a candle", "cutting them into small pieces", "mixing them with pieces of copper" ]
B
MMLU_train
When Cathleen Gardiner's twins were born 17 years ago, doctors told her that they were a pair in a million. One had Down syndrome , while the other did not. Here, Cathleen tells their touching story. Since Sean was born 17 years ago, I have always thought that he is just as wonderful as his brother and sister. Though h...
[ "Two.", "Three.", "Four.", "One." ]
B
MMLU_train
Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
[ "8", "15", "10", "12" ]
C
4/12 + x/15 = 1 x = 10 min ANSWER B
AquaRat_train
if an object undergoes chemical change then that object will have new chemical what?
[ "warmth", "temperature", "appearance", "attributes" ]
D
MMLU_train
Amy had three sons, Dave, Bill and Bob. Every year her sons sent her expensive gifts on her birthday. The eldest son Dave had a lot of money and he wanted his mother to have the most expensive gifts, but he didn't know what to buy. So he put an ad in the newspaper. " Wanted ---- the greatest gift for my mother." Abou...
[ "Five", "Six", "Seven", "Eight" ]
D
MMLU_train
Antibiotics can cure most infections that are caused by what?
[ "bile", "bacteria", "bacterium", "algae" ]
B
Health care has been improving over the most recent centuries. Vaccines were developed that could prevent many diseases ( Figure below ). Antibiotics were discovered that could cure most infections caused by bacteria. Together, these two advances saved countless lives.
SCiQ_train
The Brown Bear My wife Laura and I were on the beach, with three of our children, taking pictures of shore birds near our home in Alaska when we spotted a bear. The bear was thin and small, moving aimlessly. Just a few minutes later, I heard my daughter shouting, "Dad! The bear is right behind us!" An agreesive bear wi...
[ "felt safe", "got injured", "found some food", "took away the camera" ]
A
MMLU_train
What connects the peripheral nervous system to the central nervous system?
[ "nerves", "fibers", "wires", "veins" ]
A
The peripheral nervous system consists of all the nervous tissue that lies outside the central nervous system. It is connected to the central nervous system by nerves.
SCiQ_train
A shop owner sells 30mtr of cloth and gains SP of 10 metres. Find the gain %?
[ "45%", "70%", "50%", "40%" ]
C
Here, selling price of 10 m cloth is obtained as profit. Profit of 10 m cloth = (S.P. of 30 m cloth) – (C.P. of 30 m cloth) Selling price of 20 m cloth = Selling Price of 30 m of cloth Let cost of each metre be Rs. 100. Therefore, cost price of 20 m cloth = Rs. 2000 and S.P. of 20 m cloth = Rs. Rs. 3000 Profit% = 10 × ...
AquaRat_train
This seed carries food:
[ "rock", "strawberry", "thunder", "water" ]
B
MMLU_train
My good friend Lucy has a big family. Many people are in her family: her grandparents, her parents, her uncle, her aunt, her two cousins and she. Alan and Gina are her grand-parents. Nick and Sonia are her parents. Paul is her uncle and Mona is her aunt. Dave is Paul and Mona's son. He is 12. Linda is Dave's sister...
[ "Six", "Seven", "Eight", "Nine" ]
D
MMLU_train
What happens to energy in a closed system?
[ "is destroyed", "is wasted", "is replicated", "is conserved" ]
D
Energy is conserved in a closed system. That is, if you add up all the energy of an object(s) at one time it will equal all the energy of said object(s) at a later time. A closed system is a system where no energy is transferred in or out. The total energy of the universe is a constant (i. e. it does not change). The p...
SCiQ_train
Dna encodes instructions for what kind of molecules?
[ "proteins", "cells", "acids", "fats" ]
A
DNA encodes instructions for proteins. RNA copies the genetic code in DNA and carries it to a ribosome. There, amino acids are joined together in the correct sequence to make a protein.
SCiQ_train
Sensory neurons transmit nerve impulses from sense organs and internal organs to the brain via the?
[ "spinal cord", "nerve endings", "spinal column", "nervous system" ]
A
Sensory neurons transmit nerve impulses from sense organs and internal organs to the brain via the spinal cord. In other words, they carry information about the inside and outside environment to the brain.
SCiQ_train
What term means the percentage by mass of each element in a compound?
[ "elemental percent", "biomass", "percent composition", "mass effect" ]
C
Percent Composition The elemental makeup of a compound defines its chemical identity, and chemical formulas are the most succinct way of representing this elemental makeup. When a compound’s formula is unknown, measuring the mass of each of its constituent elements is often the first step in the process of determining ...
SCiQ_train
Nanotechnology is a fashionable word these days. The name "nano" comes from the size of molecules, which are measured in nanometers--or one billionth of a meter. Through operating the atoms and molecules, scientists can change the nature of common materials and even create new materials that have new properties. But s...
[ "exposure to nanoparticles can damage DNA", "rubbing nano cosmetics on the skin can help control skin diseases", "all nanoparticles can't be poisonous to animal cells", "the nanoparticles have bad effects on health and environment" ]
C
MMLU_train
How is a reaction described when the given conditions favor formation of products?
[ "spontaneous", "instantaneous", "planned", "fluctuations" ]
A
Chemists want to be able to predict the outcome of reactions. They would like it to be possible to predict what will happen when reactants are added together under a given set of conditions. The conditions of a reaction might include things like temperature, pressure, and concentrations of various reaction components. ...
SCiQ_train
A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to?
[ "3 km/hr", "17km/hr", "19km/hr", "16km/hr" ]
A
Let A's speed = x km/hr. Then, B's speed = (7 - x) km/ hr. So, 24/x + 24/(7 - x) = 14 x2 - 98x + 168 = 0 (x - 3)(x - 4) = 0 => x = 3 or 4. Since, A is faster than B, so A's speed = 4 km/hr and B's speed = 3 km/hr. Answer:B
AquaRat_train
Kate's room is big. A TV set is in the room. The TV set is on the table. Some red flowers are on it, too. We can see a nice picture on the wall . We can see a hat and some books on her bed. Her _ are under the bed. A desk is near the window . On the desk is a clock. It's time to go to school . Where's Kate's bag? O...
[ "on the chair", "under the bed", "on the wall", "on the bed" ]
A
MMLU_train
A lemonade stand sold only small and large cups of lemonade on Tuesday. 3/5 of the cups sold were small and the rest were large. If the large cups were sold for 7/12 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?
[ "(d) 7/25", "(a) 7/16", "(e) 1/2", "(b) 7/15" ]
A
This problem is very good example how easy and quick plug-in method might be. Let the total # of cups be 10. # of small cups sold 3/5*10=6; # of large cups sold 10-6=4; Let the price of small cup be $6, then the price of larges cup would be 7/12*6=$7/2; Revenue from small cups: 6*$6=$36; Revenue from large cups cups: 4...
AquaRat_train
The least number which must be subtracted from 909 to make it exactly divisible by 9 is:
[ "D)5", "B)3", "E)6", "C)0" ]
D
On dividing 909 by 9, we get remainder= 0 Therefore, required number to be subtracted= 0 Answer: C
AquaRat_train
What do you call a condensation reaction in which an ester is formed from an alcohol and a carboxylic acid?
[ "esterification", "transesterification", "decarboxylation", "esterisation" ]
A
An esterification is a condensation reaction in which an ester is formed from an alcohol and a carboxylic acid. Esterification is a subcategory of condensation reactions because a water molecule is produced in the reaction. The reaction is catalyzed by a strong acid, usually sulfuric acid. When the carboxylic acid buta...
SCiQ_train
If crops are rotated then the crops planted would look like
[ "tomato, tomato, tomato, tomato", "beans, corn, peas, cucumbers", "beans, beans, beans, beans", "corn, corn, corn, corn," ]
B
MMLU_train
A man counted his animals, 80 heads and 250 legs (ducks and goats). how many goats are there?
[ "45", "30", "70", "40" ]
A
let no of ducks=d and no of goat=g d+g=80(heads)----------> eq 1 each duck has 2 legs and goat has 4 legs 2d+4g=250 and divide 2d+4g=250 by 2 we get d+2g=125 -----------> eq2 subtract eq1 from eq2 we get no of goats=45 ANSWER:D
AquaRat_train
Flying a kite can be dangerous. When I was eight years old I went to the park with my dad to fly my new kite. We stood on the top of a hill and tried to catch the wind. It took us almost half an hour, but we finally got the kite into the air. As it lifted into the sky, the kite caught the edge of my jacket and I was pu...
[ "A black dot", "A bear", "An ant", "Nothing" ]
C
MMLU_train
A complementary pair of chromosomes have genes for the same characteristics in the same location on the chromosome are known as?
[ "analogous chromosomes", "endroctyne chromosomes", "homologous chromosomes", "symbiotic chromosomes" ]
C
From Genotype to Phenotype Each human body cell has a full complement of DNA stored in 23 pairs of chromosomes. Figure 28.24 shows the pairs in a systematic arrangement called a karyotype. Among these is one pair of chromosomes, called the sex chromosomes, that determines the sex of the individual (XX in females, XY in...
SCiQ_train
As part of a promotion designed to attract visitors, an amusement park gives out 24,600 free tickets per year. Usually, the number of tickets given away each month is constant. Due to an employee error, only 95,00 tickets were given out in the first four months of the year. How many tickets should the amusement park gi...
[ "600", "500", "750", "700" ]
C
24600/12=2050 2050*5=10250 10250-9500=750 Answer B
AquaRat_train
Which model helps explain molecules with double or triple bonds?
[ "salinity model", "hybridization model", "particle model", "reactivity model" ]
B
The hybridization model helps explain molecules with double or triple bonds. Consider the ethene molecule (C 2 H 4 ), which contains a double covalent bond between the two carbon atoms and single bonds between the carbon atoms and the hydrogen atoms. The entire molecule is planar.
SCiQ_train
A local business made a $125,000 profit on its first $1 million in sales and a $80,000 profit on its next $2 million in sales. By approximately what percent did the ratio of profit to sales decrease from the first $1 million in sales to the next $2 million in sales?
[ "200%", "250%", "100%", "150%" ]
A
Solution: This is a percent decrease problem. We will use the formula: percent change = (new – old)/old x 100 to calculate the final answer. We first set up the ratios of profits to sales. The first ratio will be for the first 1 million in sales, and the second ratio will be for the next 2 million in sales. Because all...
AquaRat_train
What do you call a mixture of two or more substances in which dissolved particles are distributed evenly throughout?
[ "water", "concentrate", "solution", "liquid" ]
C
A solution is a mixture of two or more substances in which dissolved particles are distributed evenly throughout the solution. The substance that dissolves in a solution is called the solute, and the substance that does the dissolving is called the solvent. The concentration of a solution is the amount of solute in a g...
SCiQ_train
A cicketer Has a certain average for 10 innings, In the eleventh inning, he scorod 88 runs, thereby increasing his average by 6 runs. His new average is
[ "18 runs", "28 runs", "46 runs", "48 runs" ]
B
Explanation: Let average for 10 innings be x. Then, (10x + 88)/11 = x + 6 => 11x + 66 = 10x + 88 => x = 22. New average = (x + 6) = 28 runs. Answer: B
AquaRat_train
What element is responsible for one-half of the osmotic pressure gradient that exists between the interior of cells and their surrounding environment?
[ "sodium", "nitrogen", "potassium", "calcium" ]
A
Sodium Sodium is the major cation of the extracellular fluid. It is responsible for one-half of the osmotic pressure gradient that exists between the interior of cells and their surrounding environment. People eating a typical Western diet, which is very high in NaCl, routinely take in 130 to 160 mmol/day of sodium, bu...
SCiQ_train
If 9 men do a work in 80 days, in how many days will 20 men do it?
[ "18 days", "48 days", "36 days", "42 days" ]
C
9 * 80 = 20 * x x = 36 days ANSWER:B
AquaRat_train
Soon computers and other machines will be able to remember you by looking at your eyes! The programme works because everyone's eyes are different. So in the future you won't have to remember a number when you want to use a machine or take money out of a bank. You'll just have to look at the machine and it will be able ...
[ "You needn't remember a number.", "You needn't take money with you.", "You don't need to look at the machine.", "People think it's interesting." ]
A
MMLU_train
What change can you expect in vectors that are perpendicular to each other?
[ "Large Effect", "Molecular Reaction", "Chemical reaction", "no effect" ]
D
Vectors that are perpendicular to each other have no effect on each other.
SCiQ_train
In a triangle ABC,point D is on side AB and point E is on side AC,such that BCED is a trapezium.DE:BC =3:5.Calculate the ratio of the area of triangle ADE and the trapezium BCED.
[ "9/16", "8/16", "7/16", "6/16" ]
A
area of tri(ADE)/area of tri(ABC) = DE^2 / BC^2 since tri(ADE) -tri(ABC) area of tri(ADE)/area of tri(ABC) = 9/25 area of tri(ABC)/area of tri(ADE) = 25/9 area of tri(ABC) = area of tri(ADE) + area of trap(BCDE) (area of tri(ADE) + area of trap(BCDE))/area of tri(ADE) = 25/9 1 + area of trap(BCDE)/area of tri(ADE) = 25...
AquaRat_train
Endosperm usually develops before the what does?
[ "embryo", "fetus", "gamete", "nucleus" ]
A
SCiQ_train
The product S of the first 10 prime numbers is closest to which of the following?
[ "6.5 x 10^9", "6.5 x 10^11", "6.5 x 10^8", "6.5 x 10^7" ]
A
The first 10 primes are: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. So, we need to find approximate value of 2*3*5*7*11*13*17*19*23*29. # of different approximations are possible. For example: 2*5=10 3*17=~50 (actually more than 50); 7*13=~100 (actually less than 100); 11*19=~200 (actually more than 200) 23*29=667=S 2*3*5...
AquaRat_train
Light glows for every 13 seconds . How many max. times did it glow between 1:57:58 and 3:20:47 am.
[ "382 times", "482 times", "380 times", "392 times" ]
A
Time difference is 1hr,22min,49sec=4969sec. So, light glows floor(4969/13)=382 times. ANSWER:C
AquaRat_train
What would you do if you had an accident in your daily life? It is important for you to get some knowledge about first aid in your daily life. If a person has an accident, he / she needs medical care before a doctor can be found. When you give first aid, you must know three things: First, when a person stops breathing ...
[ "Two.", "Three.", "Four.", "Five." ]
B
MMLU_train
Jim is my good friend. We are in the same school. He is an American. We are good friends. This is Jim's bedroom. It's not big, but new. A black desk is in the room. Some English books are on the desk. Jim's backpack is on it. The backpack is yellow, but old. What's under the red chair? It's a white cat. It's a Chinese ...
[ "black", "white", "blue", "yellow" ]
A
MMLU_train
Johnny Smith was a good math student at a high school. He loved his computer. He came home early every day, then he worked with it till midnight. But Johnny was not a good English student, not good at all. He got an F in his English class. One day after school Johnny joined his computer to the computer in his high scho...
[ "Johnny was good at math", "Johnny loved computers", "Johnny could join one computer to another", "they thought Johnny was not poor in English any longer" ]
D
MMLU_train
Engaging in relatively simple behaviors helps maintain a nearly constant body temperature for organisms classified as what?
[ "endotherms", "photophores", "ectotherms", "placoderms" ]
C
SCiQ_train
A certain quantity is measured on two different scales, the R-scale and the S-scale, that are related linearly. Measurements on the R-scale of 6 and 24 correspond to measurements on the S-scale of 30 and 60, respectively. What measurement on the R-scale corresponds to a measurement of 100 on the S-scale?
[ "36", "48", "20", "60" ]
B
Question says they are both related linearly so they the relationships can be represented by standard linear definition y=mx+b. Let S scale = y. and R scale = x. 30=6m+b EQN1 60=24m+b EQN2 EQN2-EQN1 => 30=18m => m=5/3 Solving for b using either equation gives us b=20 linear relationship is represented by y=(5/3)x+20 So...
AquaRat_train
Three boys, two girls, and two women are to be seated on a bench. If one specific boy must be seated on one of the end seats, and one specific girl must me seated exactly in the middle, find the number of possible arrangements E.
[ "d) 288", "b) E=144", "e) 120", "c) E=240" ]
D
One specific boy is seated to either of end seat, lets call him b1 One specific girl is seated in the middle, lets call her g1 Note the question says *specific girl* and *specific boy*, so we do not consider for example the other girl , g2, being seated on seat #4. Same goes with the specific boy, b1. b1 can be seated ...
AquaRat_train
When plants lose their leaves in the fall, what chemical is produced less to cause the change?
[ "chlorophyll", "carbonate", "oxygen", "pheromes" ]
A
Even if you don’t live in a place where leaves turn color in the fall, no doubt you’ve seen photos of their “fall colors” (see Figure below ). The leaves of many plants turn from green to other, glorious colors during autumn each year. The change is triggered by shorter days and cooler temperatures. Leaves respond to t...
SCiQ_train
Researchers have also used insect courtship to explore genetic variation underlying differences in what?
[ "function", "reproduction", "behavior", "instance" ]
C
SCiQ_train
A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
[ "250", "987", "110", "165" ]
D
Explanation: Total number of persons in the committee = 5 + 6 = 11 Number of ways of selecting group of eight persons = 11C8 = 11C3= (11 * 10 * 9)/(3 * 2) = 165 ways. Answer: E
AquaRat_train
Mr. Clark worked in a newspaper, and he did a lot of important and difficult work, but then he began to forget things, and this made his work very difficult. One day he said to himself, "I'm going to go and see Dr. Martin about this." He waited in the doctor's waiting room with the other patients, and then the nurse sa...
[ "Important work", "Working for a long time", "Forgetting things", "Bad condition" ]
C
MMLU_train