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Answer the following multiple choice question by selecting the correct option. Question: How many different pairs of numbers (s, t) such that s = 3t can be obtained if s and t are selected from the set of number {3, 4, 5, 6, 7, 8, 9} A: 1 B: 2 C: 3 D: 4 Answer:
Answer the following multiple choice question by selecting the correct option. Context: Given s=3t t can take 3 and so s = 9 1 such pairs can be formed. answer A Question: How many different pairs of numbers (s, t) such that s = 3t can be obtained if s and t are selected from the set of number {3, 4, 5, 6, 7, 8, 9} A: 1 B: 2 C: 3 D: 4 Answer:
How many different pairs of numbers (s, t) such that s = 3t can be obtained if s and t are selected from the set of number {3, 4, 5, 6, 7, 8, 9}
1
2
3
4
A
Given s=3t t can take 3 and so s = 9 1 such pairs can be formed. answer A
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: What is the technical term for species that produce their own body heat and regulate their internal temperature independently of the outside temperature? A: hydrostatic B: osmotic C: endothermic D: Phototrophic Answer:
Answer the following multiple choice question by selecting the correct option. Context: 29.5 Birds Birds are endothermic, meaning they produce their own body heat and regulate their internal temperature independently of the external temperature. Feathers not only act as insulation but also allow for flight, providing lift with secondary feathers and thrust with primary feathers. Pneumatic bones are bones that are hollow rather than filled with tissue, containing air spaces that are sometimes connected to air sacs. Airflow through bird lungs travels in one direction, creating a crosscurrent exchange with the blood. Birds are diapsids and belong to a group called the archosaurs. Birds are thought to have evolved from theropod dinosaurs. The oldest known fossil of a bird is that of Archaeopteryx, which is from the Jurassic period. Modern birds are now classified into two groups, Paleognathae and Neognathae. Question: What is the technical term for species that produce their own body heat and regulate their internal temperature independently of the outside temperature? A: hydrostatic B: osmotic C: endothermic D: Phototrophic Answer:
What is the technical term for species that produce their own body heat and regulate their internal temperature independently of the outside temperature?
hydrostatic
osmotic
endothermic
Phototrophic
C
29.5 Birds Birds are endothermic, meaning they produce their own body heat and regulate their internal temperature independently of the external temperature. Feathers not only act as insulation but also allow for flight, providing lift with secondary feathers and thrust with primary feathers. Pneumatic bones are bones that are hollow rather than filled with tissue, containing air spaces that are sometimes connected to air sacs. Airflow through bird lungs travels in one direction, creating a crosscurrent exchange with the blood. Birds are diapsids and belong to a group called the archosaurs. Birds are thought to have evolved from theropod dinosaurs. The oldest known fossil of a bird is that of Archaeopteryx, which is from the Jurassic period. Modern birds are now classified into two groups, Paleognathae and Neognathae.
sciq
Answer the following multiple choice question by selecting the correct option. Question: Transporting blood is the main job of the heart and what? A: blood vessels B: bones C: lymphatic system D: areolas Answer:
Answer the following multiple choice question by selecting the correct option. Context: Transporting blood is the main job of the heart and blood vessels. Question: Transporting blood is the main job of the heart and what? A: blood vessels B: bones C: lymphatic system D: areolas Answer:
Transporting blood is the main job of the heart and what?
blood vessels
bones
lymphatic system
areolas
A
Transporting blood is the main job of the heart and blood vessels.
sciq
Answer the following multiple choice question by selecting the correct option. Question: When you press on the brakes in a car, because of friction, A: it flies B: coconut C: speed goes down D: the speed increases Answer:
Answer the following multiple choice question by selecting the correct option. Context: friction causes the speed of an object to decrease Question: When you press on the brakes in a car, because of friction, A: it flies B: coconut C: speed goes down D: the speed increases Answer:
When you press on the brakes in a car, because of friction,
it flies
coconut
speed goes down
the speed increases
C
friction causes the speed of an object to decrease
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: Sandy earns $15 per hour. She worked 10 hours on Friday with her best friend, 6 hours on Saturday alone and 14 hours on Sunday with her other co-workers. How much money did Sandy earn in all on Friday, Saturday and Sunday? A: 451 B: 450 C: 460 D: 440 Answer:
Answer the following multiple choice question by selecting the correct option. Context: The total number of hours Sandy worked on Friday, Saturday and Sunday was 10 + 6 + 14 = <<10+6+14=30>>30 hours. Beth made 30 × $15 = $<<30*15=450>>450 in those 3 days. #### 450 Question: Sandy earns $15 per hour. She worked 10 hours on Friday with her best friend, 6 hours on Saturday alone and 14 hours on Sunday with her other co-workers. How much money did Sandy earn in all on Friday, Saturday and Sunday? A: 451 B: 450 C: 460 D: 440 Answer:
Sandy earns $15 per hour. She worked 10 hours on Friday with her best friend, 6 hours on Saturday alone and 14 hours on Sunday with her other co-workers. How much money did Sandy earn in all on Friday, Saturday and Sunday?
451
450
460
440
B
The total number of hours Sandy worked on Friday, Saturday and Sunday was 10 + 6 + 14 = <<10+6+14=30>>30 hours. Beth made 30 × $15 = $<<30*15=450>>450 in those 3 days. #### 450
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: what requires stamina to succeed at physical activities? A: humans B: hawks C: dogs D: plants Answer:
Answer the following multiple choice question by selecting the correct option. Context: Fact 1: an animal requires stamina to succeed at physical activities Fact 2: All dogs are animals . Combined: dogs require stamina to succeed at physical activities Question: what requires stamina to succeed at physical activities? A: humans B: hawks C: dogs D: plants Answer:
what requires stamina to succeed at physical activities?
humans
hawks
dogs
plants
C
Fact 1: an animal requires stamina to succeed at physical activities Fact 2: All dogs are animals . Combined: dogs require stamina to succeed at physical activities
qasc
Answer the following multiple choice question by selecting the correct option. Question: Find the value of m 72519 x 9999 = m? A: 724533811 B: 353654655 C: 545463251 D: 725117481 Answer:
Answer the following multiple choice question by selecting the correct option. Context: 72519 x 9999 = 72519 x (10000 - 1) = 72519 x 10000 - 72519 x 1 = 725190000 - 72519 = 725117481 D Question: Find the value of m 72519 x 9999 = m? A: 724533811 B: 353654655 C: 545463251 D: 725117481 Answer:
Find the value of m 72519 x 9999 = m?
724533811
353654655
545463251
725117481
D
72519 x 9999 = 72519 x (10000 - 1) = 72519 x 10000 - 72519 x 1 = 725190000 - 72519 = 725117481 D
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: What is the ph of pure water? A: 5 B: 4 C: 2 D: 7 Answer:
Answer the following multiple choice question by selecting the correct option. Context: milk of magnesia, pH = 10.5 2. pure water, pH = 7 3. wine, pH = 3.0. Question: What is the ph of pure water? A: 5 B: 4 C: 2 D: 7 Answer:
What is the ph of pure water?
5
4
2
7
D
milk of magnesia, pH = 10.5 2. pure water, pH = 7 3. wine, pH = 3.0.
sciq
Answer the following multiple choice question by selecting the correct option. Question: Mammals with blow holes can hear signals called A: radio waves B: air horns C: people talking D: clicks Answer:
Answer the following multiple choice question by selecting the correct option. Context: sound can be used for communication by animals Question: Mammals with blow holes can hear signals called A: radio waves B: air horns C: people talking D: clicks Answer:
Mammals with blow holes can hear signals called
radio waves
air horns
people talking
clicks
D
sound can be used for communication by animals
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: The sum of three consecutive multiples of 3 is 72. What is the largest number? A: 21 B: 24 C: 27 D: 36 Answer:
Answer the following multiple choice question by selecting the correct option. Context: Let the numbers be 3x, 3x + 3, 3x + 6 Then, 3x + 3x + 3 + 3x + 6 = 72 ===> 9x = 63 ==> x = 7. so the largest number is 3x + 6 = 27. hence the correct answer is option C) 27. Question: The sum of three consecutive multiples of 3 is 72. What is the largest number? A: 21 B: 24 C: 27 D: 36 Answer:
The sum of three consecutive multiples of 3 is 72. What is the largest number?
21
24
27
36
C
Let the numbers be 3x, 3x + 3, 3x + 6 Then, 3x + 3x + 3 + 3x + 6 = 72 ===> 9x = 63 ==> x = 7. so the largest number is 3x + 6 = 27. hence the correct answer is option C) 27.
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: Fiona completed 36 math questions in an hour. Shirley was able to complete twice as many math questions within that same time, and Kiana completed half of the sum of Fiona and Shirley's math questions. If they each did the same number of questions the following hour, how many math questions did all three girls complete in 2 hours? A: 324 B: 162 C: 325 D: 314 Answer:
Answer the following multiple choice question by selecting the correct option. Context: Shirley completed 36 x 2 = <<36*2=72>>72 questions The sum of Fiona and Shirley's questions is 36 + 72 = <<36+72=108>>108 Kiana completed 108/2 = <<108/2=54>>54 questions In one hour, they completed 108 +54 = <<108+54=162>>162 questions. In two hours, they completed 162 x 2 = <<162*2=324>>324 questions. #### 324 Question: Fiona completed 36 math questions in an hour. Shirley was able to complete twice as many math questions within that same time, and Kiana completed half of the sum of Fiona and Shirley's math questions. If they each did the same number of questions the following hour, how many math questions did all three girls complete in 2 hours? A: 324 B: 162 C: 325 D: 314 Answer:
Fiona completed 36 math questions in an hour. Shirley was able to complete twice as many math questions within that same time, and Kiana completed half of the sum of Fiona and Shirley's math questions. If they each did the same number of questions the following hour, how many math questions did all three girls complete in 2 hours?
324
162
325
314
A
Shirley completed 36 x 2 = <<36*2=72>>72 questions The sum of Fiona and Shirley's questions is 36 + 72 = <<36+72=108>>108 Kiana completed 108/2 = <<108/2=54>>54 questions In one hour, they completed 108 +54 = <<108+54=162>>162 questions. In two hours, they completed 162 x 2 = <<162*2=324>>324 questions. #### 324
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: Which profession likely relies most on the Earth's poles? A: a bus driver B: a salesman C: a mechanic D: a seaman Answer:
Answer the following multiple choice question by selecting the correct option. Context: when the needle of a compass lines up with Earth 's magnetic poles , the needle points north Question: Which profession likely relies most on the Earth's poles? A: a bus driver B: a salesman C: a mechanic D: a seaman Answer:
Which profession likely relies most on the Earth's poles?
a bus driver
a salesman
a mechanic
a seaman
D
when the needle of a compass lines up with Earth 's magnetic poles , the needle points north
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: Jillian, Savannah, and Clayton were collecting shells on the beach. Jillian collected 29, Savannah collected 17, and Clayton collected 8. They decided that they wanted to give the shells to two of their friends who had just arrived. They put their shells together and distributed them evenly to each friend. How many shells did each friend get? A: 40.5 B: 21.6 C: 27 D: 28 Answer:
Answer the following multiple choice question by selecting the correct option. Context: The kids collected 29 + 17 + 8 = <<29+17+8=54>>54 shells. If they distribute the shells evenly between 2 friends, 54 / 2 = <<54/2=27>>27 shells for each friend. #### 27 Question: Jillian, Savannah, and Clayton were collecting shells on the beach. Jillian collected 29, Savannah collected 17, and Clayton collected 8. They decided that they wanted to give the shells to two of their friends who had just arrived. They put their shells together and distributed them evenly to each friend. How many shells did each friend get? A: 40.5 B: 21.6 C: 27 D: 28 Answer:
Jillian, Savannah, and Clayton were collecting shells on the beach. Jillian collected 29, Savannah collected 17, and Clayton collected 8. They decided that they wanted to give the shells to two of their friends who had just arrived. They put their shells together and distributed them evenly to each friend. How many shells did each friend get?
40.5
21.6
27
28
C
The kids collected 29 + 17 + 8 = <<29+17+8=54>>54 shells. If they distribute the shells evenly between 2 friends, 54 / 2 = <<54/2=27>>27 shells for each friend. #### 27
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: Jo-Bob hopped into the hot air balloon, released the anchor rope, and pulled on the lift chain, which ignited the flame and provided the warm air that caused the balloon to rise. When the lift chain was pulled, the balloon would rise at a rate of 50 feet per minute. But when the chain was not being pulled, the balloon would slowly descend at a rate of 10 feet per minute. During his balloon ride, he pulled the chain for 15 minutes, then released the rope for 10 minutes, then pulled the chain for another 15 minutes, and finally released the chain and allowed the balloon to slowly descend back to the earth. During his balloon ride, what was the highest elevation reached by the balloon? A: 2100 B: 1400 C: 1410 D: 1399 Answer:
Answer the following multiple choice question by selecting the correct option. Context: The first 15-minute chain pull caused the balloon to rise 50*15=<<50*15=750>>750 feet. Releasing the chain for 10 minutes caused the balloon to descend 10*10=<<10*10=100>>100 feet. The second 15-minute chain pull caused the balloon to rise another 50*15=<<50*15=750>>750 feet. Thus, at the end of the second chain pull, when the balloon was at its highest elevation, the balloon had risen to an elevation of 750-100+750=<<750-100+750=1400>>1400 feet above the earth's surface. #### 1400 Question: Jo-Bob hopped into the hot air balloon, released the anchor rope, and pulled on the lift chain, which ignited the flame and provided the warm air that caused the balloon to rise. When the lift chain was pulled, the balloon would rise at a rate of 50 feet per minute. But when the chain was not being pulled, the balloon would slowly descend at a rate of 10 feet per minute. During his balloon ride, he pulled the chain for 15 minutes, then released the rope for 10 minutes, then pulled the chain for another 15 minutes, and finally released the chain and allowed the balloon to slowly descend back to the earth. During his balloon ride, what was the highest elevation reached by the balloon? A: 2100 B: 1400 C: 1410 D: 1399 Answer:
Jo-Bob hopped into the hot air balloon, released the anchor rope, and pulled on the lift chain, which ignited the flame and provided the warm air that caused the balloon to rise. When the lift chain was pulled, the balloon would rise at a rate of 50 feet per minute. But when the chain was not being pulled, the balloon would slowly descend at a rate of 10 feet per minute. During his balloon ride, he pulled the chain for 15 minutes, then released the rope for 10 minutes, then pulled the chain for another 15 minutes, and finally released the chain and allowed the balloon to slowly descend back to the earth. During his balloon ride, what was the highest elevation reached by the balloon?
2100
1400
1410
1399
B
The first 15-minute chain pull caused the balloon to rise 50*15=<<50*15=750>>750 feet. Releasing the chain for 10 minutes caused the balloon to descend 10*10=<<10*10=100>>100 feet. The second 15-minute chain pull caused the balloon to rise another 50*15=<<50*15=750>>750 feet. Thus, at the end of the second chain pull, when the balloon was at its highest elevation, the balloon had risen to an elevation of 750-100+750=<<750-100+750=1400>>1400 feet above the earth's surface. #### 1400
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: A number was divided successively in order by 4,5,6 the remainder was respectively 2,3,4 the numbers are? A: 1 B: 2 C: 3 D: 4 Answer:
Answer the following multiple choice question by selecting the correct option. Context: let x=6q+3 then x^2=(6q+3)^2=6(6q^2+6q+1)+3 thus the remainder is 3 The Answer is(C) Question: A number was divided successively in order by 4,5,6 the remainder was respectively 2,3,4 the numbers are? A: 1 B: 2 C: 3 D: 4 Answer:
A number was divided successively in order by 4,5,6 the remainder was respectively 2,3,4 the numbers are?
1
2
3
4
C
let x=6q+3 then x^2=(6q+3)^2=6(6q^2+6q+1)+3 thus the remainder is 3 The Answer is(C)
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: What is the least common multiple of 15, 16, and 24? A: 60 B: 120 C: 240 D: 360 Answer:
Answer the following multiple choice question by selecting the correct option. Context: Let us first write the numbers in the form of prime factors: 15 = 3*5 16 = 2^4 24 = 2 * 17^1 The LCM would be the largest powers of the prime numbers from all these three numbers. Hence LCM = 240 Option C Question: What is the least common multiple of 15, 16, and 24? A: 60 B: 120 C: 240 D: 360 Answer:
What is the least common multiple of 15, 16, and 24?
60
120
240
360
C
Let us first write the numbers in the form of prime factors: 15 = 3*5 16 = 2^4 24 = 2 * 17^1 The LCM would be the largest powers of the prime numbers from all these three numbers. Hence LCM = 240 Option C
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares? A: Rs.10000, Rs.15020 B: Rs.10000, Rs.15700 C: Rs.10000, Rs.15090 D: Rs.10000, Rs.15000 Answer:
Answer the following multiple choice question by selecting the correct option. Context: The ratio of their profits A:B = 8:12 = 2:3 Share of A in the total profit = 2/5 * 25000 = Rs.10000 Share of A in the total profit = 3/5 * 25000 = Rs.15000 Answer: D Question: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares? A: Rs.10000, Rs.15020 B: Rs.10000, Rs.15700 C: Rs.10000, Rs.15090 D: Rs.10000, Rs.15000 Answer:
A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
Rs.10000, Rs.15020
Rs.10000, Rs.15700
Rs.10000, Rs.15090
Rs.10000, Rs.15000
D
The ratio of their profits A:B = 8:12 = 2:3 Share of A in the total profit = 2/5 * 25000 = Rs.10000 Share of A in the total profit = 3/5 * 25000 = Rs.15000 Answer: D
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: Steve puts $100 into the bank. Each year he earns 10% interest on the money in the account. How much money will be in the bank after 2 years? A: 181.5 B: 121 C: 122 D: 111 Answer:
Answer the following multiple choice question by selecting the correct option. Context: At the end of the first year, there will be $100 * (110/100) = $<<100*110/100=110>>110 in the bank account. At the end of the second year, there will be $110 * (110/100) = $<<110*(110/100)=121>>121 #### 121 Question: Steve puts $100 into the bank. Each year he earns 10% interest on the money in the account. How much money will be in the bank after 2 years? A: 181.5 B: 121 C: 122 D: 111 Answer:
Steve puts $100 into the bank. Each year he earns 10% interest on the money in the account. How much money will be in the bank after 2 years?
181.5
121
122
111
B
At the end of the first year, there will be $100 * (110/100) = $<<100*110/100=110>>110 in the bank account. At the end of the second year, there will be $110 * (110/100) = $<<110*(110/100)=121>>121 #### 121
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: As the wind is blowing on the back of a car with a strong gust, the car will A: rush forward faster than before B: wind is unable to affect car speed C: move forward instead of sideways D: maintain speed and direction Answer:
Answer the following multiple choice question by selecting the correct option. Context: as force exerted on an object increases , distance travelled will increase Question: As the wind is blowing on the back of a car with a strong gust, the car will A: rush forward faster than before B: wind is unable to affect car speed C: move forward instead of sideways D: maintain speed and direction Answer:
As the wind is blowing on the back of a car with a strong gust, the car will
rush forward faster than before
wind is unable to affect car speed
move forward instead of sideways
maintain speed and direction
A
as force exerted on an object increases , distance travelled will increase
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: 7 people average age is 30. youngest person age is 7. find average of the people when youngest was born. A: 23 B: 24 C: 25 D: 26 Answer:
Answer the following multiple choice question by selecting the correct option. Context: average age of people =30 so have total age =210 before 7 years we have to deduct each person age by seven years 210-49=161 so average age would be 161/7=23 ANSWER:A Question: 7 people average age is 30. youngest person age is 7. find average of the people when youngest was born. A: 23 B: 24 C: 25 D: 26 Answer:
7 people average age is 30. youngest person age is 7. find average of the people when youngest was born.
23
24
25
26
A
average age of people =30 so have total age =210 before 7 years we have to deduct each person age by seven years 210-49=161 so average age would be 161/7=23 ANSWER:A
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: Rain causes what and sculpts landscapes? A: stone filtering B: rock formations C: water stagnating D: rock growing Answer:
Answer the following multiple choice question by selecting the correct option. Context: Fact 1: rain causes erosion Fact 2: Erosion sculpts the landscape, creating fantastic rock formations. Combined: Rain causes rock formations and sculpts landscapes. Question: Rain causes what and sculpts landscapes? A: stone filtering B: rock formations C: water stagnating D: rock growing Answer:
Rain causes what and sculpts landscapes?
stone filtering
rock formations
water stagnating
rock growing
B
Fact 1: rain causes erosion Fact 2: Erosion sculpts the landscape, creating fantastic rock formations. Combined: Rain causes rock formations and sculpts landscapes.
qasc
Answer the following multiple choice question by selecting the correct option. Question: Which is the best thing to do for a neighborhood? A: growing local daffodils and weeding B: spreading trash and garbage C: planting fast spreading plants D: introducing a new species Answer:
Answer the following multiple choice question by selecting the correct option. Context: planting native plants has a positive impact on an ecosystem Question: Which is the best thing to do for a neighborhood? A: growing local daffodils and weeding B: spreading trash and garbage C: planting fast spreading plants D: introducing a new species Answer:
Which is the best thing to do for a neighborhood?
growing local daffodils and weeding
spreading trash and garbage
planting fast spreading plants
introducing a new species
A
planting native plants has a positive impact on an ecosystem
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: What is something that is important for every animal's survival? A: health B: salmon C: coded genes D: Digestion Answer:
Answer the following multiple choice question by selecting the correct option. Context: Fact 1: an animal requires nutrients for survival Fact 2: Proper digestion is vital for nutrient absorption. Combined: Digestion is important for an animal's survival Question: What is something that is important for every animal's survival? A: health B: salmon C: coded genes D: Digestion Answer:
What is something that is important for every animal's survival?
health
salmon
coded genes
Digestion
D
Fact 1: an animal requires nutrients for survival Fact 2: Proper digestion is vital for nutrient absorption. Combined: Digestion is important for an animal's survival
qasc
Answer the following multiple choice question by selecting the correct option. Question: Particles with what type of electric charges attract each other? A: opposite B: same C: simple D: similar Answer:
Answer the following multiple choice question by selecting the correct option. Context: Particles with opposite electric charges attract each other. This explains why negative electrons orbit the positive nucleus. Particles with the same electric charge repel each other. This means that the positive protons in the nucleus push apart from one another. So why doesn’t the nucleus fly apart? An even stronger force—called the strong nuclear force—holds protons and neutrons together in the nucleus. You can learn more about these forces in the nucleus by watching the video at this URL:. Question: Particles with what type of electric charges attract each other? A: opposite B: same C: simple D: similar Answer:
Particles with what type of electric charges attract each other?
opposite
same
simple
similar
A
Particles with opposite electric charges attract each other. This explains why negative electrons orbit the positive nucleus. Particles with the same electric charge repel each other. This means that the positive protons in the nucleus push apart from one another. So why doesn’t the nucleus fly apart? An even stronger force—called the strong nuclear force—holds protons and neutrons together in the nucleus. You can learn more about these forces in the nucleus by watching the video at this URL:.
sciq
Answer the following multiple choice question by selecting the correct option. Question: Varves form in lakes covered by what? A: coral reef B: soot C: ice D: bridges Answer:
Answer the following multiple choice question by selecting the correct option. Context: Varves form in lakes covered by ice. Varves are useful to scientists for understanding climate. Question: Varves form in lakes covered by what? A: coral reef B: soot C: ice D: bridges Answer:
Varves form in lakes covered by what?
coral reef
soot
ice
bridges
C
Varves form in lakes covered by ice. Varves are useful to scientists for understanding climate.
sciq
Answer the following multiple choice question by selecting the correct option. Question: A wolf would eat A: an ibex B: a mountain C: a tree D: a cloud Answer:
Answer the following multiple choice question by selecting the correct option. Context: predators eat prey Question: A wolf would eat A: an ibex B: a mountain C: a tree D: a cloud Answer:
A wolf would eat
an ibex
a mountain
a tree
a cloud
A
predators eat prey
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: The organisms likely to have the waxiest leaves are A: birds B: gorilla C: humans D: jades Answer:
Answer the following multiple choice question by selecting the correct option. Context: waxy leaves are used for storing water by some plants Question: The organisms likely to have the waxiest leaves are A: birds B: gorilla C: humans D: jades Answer:
The organisms likely to have the waxiest leaves are
birds
gorilla
humans
jades
D
waxy leaves are used for storing water by some plants
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: In a theatre the ratio of car & two wheeler is 1:8. Total Number of tyres are 100. Find how many are cars and how many are two wheelers? A: 20 B: 30 C: 40 D: 50 Answer:
Answer the following multiple choice question by selecting the correct option. Context: let the no of cars be 1x and no of two wheelers be 8x (1x*4)+(8x*2)=100 20x=100 ...x=5 1x=no of cars=5 8x=no of two wheelers=40 ANSWER:C Question: In a theatre the ratio of car & two wheeler is 1:8. Total Number of tyres are 100. Find how many are cars and how many are two wheelers? A: 20 B: 30 C: 40 D: 50 Answer:
In a theatre the ratio of car & two wheeler is 1:8. Total Number of tyres are 100. Find how many are cars and how many are two wheelers?
20
30
40
50
C
let the no of cars be 1x and no of two wheelers be 8x (1x*4)+(8x*2)=100 20x=100 ...x=5 1x=no of cars=5 8x=no of two wheelers=40 ANSWER:C
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: Why would a species camouflage as a dangerous animal? A: to mate B: to avoid crocodiles C: to catch prey D: to build nests Answer:
Answer the following multiple choice question by selecting the correct option. Context: mimicry is used for avoiding predators by animals by camouflaging as a dangerous animal Question: Why would a species camouflage as a dangerous animal? A: to mate B: to avoid crocodiles C: to catch prey D: to build nests Answer:
Why would a species camouflage as a dangerous animal?
to mate
to avoid crocodiles
to catch prey
to build nests
B
mimicry is used for avoiding predators by animals by camouflaging as a dangerous animal
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: Nancy takes 3 antacids per day when she eats Indian food, 2 antacids per day when she eats Mexican food, and 1 antacid per day otherwise. If Nancy eats Indian three times a week and Mexican twice a week, how many antacids does she take per month? A: 59 B: 30 C: 70 D: 60 Answer:
Answer the following multiple choice question by selecting the correct option. Context: First find the total number of antacids Nancy takes after eating Indian food per week: 3 antacids/day * 3 days/week = <<3*3=9>>9 antacids/week Then find the total number of antacids Nancy takes after eating Mexican food per week: 2 antacids/day * 2 days/week = <<2*2=4>>4 antacids/week Then find the number of days she doesn't eat Indian food or Mexican food: 7 days/week - 3 days/week - 2 days/week = 2 days/week Then find the total number of antacids Nancy takes per week: 9 antacids/week + 4 antacids/week + 2 antacids/week = <<9+4+2=15>>15 antacids/week Then multiply her weekly antacid consumption by the number of weeks per month to find her monthly consumption: 15 antacids/week * 4 week/month = <<15*4=60>>60 antacids/month #### 60 Question: Nancy takes 3 antacids per day when she eats Indian food, 2 antacids per day when she eats Mexican food, and 1 antacid per day otherwise. If Nancy eats Indian three times a week and Mexican twice a week, how many antacids does she take per month? A: 59 B: 30 C: 70 D: 60 Answer:
Nancy takes 3 antacids per day when she eats Indian food, 2 antacids per day when she eats Mexican food, and 1 antacid per day otherwise. If Nancy eats Indian three times a week and Mexican twice a week, how many antacids does she take per month?
59
30
70
60
D
First find the total number of antacids Nancy takes after eating Indian food per week: 3 antacids/day * 3 days/week = <<3*3=9>>9 antacids/week Then find the total number of antacids Nancy takes after eating Mexican food per week: 2 antacids/day * 2 days/week = <<2*2=4>>4 antacids/week Then find the number of days she doesn't eat Indian food or Mexican food: 7 days/week - 3 days/week - 2 days/week = 2 days/week Then find the total number of antacids Nancy takes per week: 9 antacids/week + 4 antacids/week + 2 antacids/week = <<9+4+2=15>>15 antacids/week Then multiply her weekly antacid consumption by the number of weeks per month to find her monthly consumption: 15 antacids/week * 4 week/month = <<15*4=60>>60 antacids/month #### 60
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: There are enough provisions in a castle to feed 300 people for 90 days. After 30 days, 100 people leave the castle. How many more days are left until all the food runs out? A: 89 B: 45 C: 90 D: 135 Answer:
Answer the following multiple choice question by selecting the correct option. Context: After 30 days, there will be enough food left to sustain 300 people for 90 days – 30 days = 60 days. After the 100 people leave, there will be 300-100 = <<300-100=200>>200 people left. The 200 people will eat 200/300 = 2/3 as much food as the original group of people in the castle. The 60 days' worth of food will last this smaller group for 60 days / (2/3) = <<60/(2/3)=90>>90 more days. #### 90 Question: There are enough provisions in a castle to feed 300 people for 90 days. After 30 days, 100 people leave the castle. How many more days are left until all the food runs out? A: 89 B: 45 C: 90 D: 135 Answer:
There are enough provisions in a castle to feed 300 people for 90 days. After 30 days, 100 people leave the castle. How many more days are left until all the food runs out?
89
45
90
135
C
After 30 days, there will be enough food left to sustain 300 people for 90 days – 30 days = 60 days. After the 100 people leave, there will be 300-100 = <<300-100=200>>200 people left. The 200 people will eat 200/300 = 2/3 as much food as the original group of people in the castle. The 60 days' worth of food will last this smaller group for 60 days / (2/3) = <<60/(2/3)=90>>90 more days. #### 90
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: What do igneous rocks form into when heated? A: magma B: matter C: crust D: soils Answer:
Answer the following multiple choice question by selecting the correct option. Context: Fact 1: melting is when solids are heated above their melting point Fact 2: Igneous rocks form when rocks are heated to the melting point which forms magma. Combined: melting rocks forms magma Question: What do igneous rocks form into when heated? A: magma B: matter C: crust D: soils Answer:
What do igneous rocks form into when heated?
magma
matter
crust
soils
A
Fact 1: melting is when solids are heated above their melting point Fact 2: Igneous rocks form when rocks are heated to the melting point which forms magma. Combined: melting rocks forms magma
qasc
Answer the following multiple choice question by selecting the correct option. Question: Lacking a bony endoskeleton, sharks, rays, and ratfish belong to what group of fish? A: invertebrates B: crustaceans C: cartilaginous D: freshwater fish Answer:
Answer the following multiple choice question by selecting the correct option. Context: Cartilaginous Fish Cartilaginous fish include sharks, rays, and ratfish. Their endoskeleton is made of cartilage instead of bone. They also lack a swim bladder. However, they have a complete vertebral column and jaws. They also have a relatively big brain. shark. Question: Lacking a bony endoskeleton, sharks, rays, and ratfish belong to what group of fish? A: invertebrates B: crustaceans C: cartilaginous D: freshwater fish Answer:
Lacking a bony endoskeleton, sharks, rays, and ratfish belong to what group of fish?
invertebrates
crustaceans
cartilaginous
freshwater fish
C
Cartilaginous Fish Cartilaginous fish include sharks, rays, and ratfish. Their endoskeleton is made of cartilage instead of bone. They also lack a swim bladder. However, they have a complete vertebral column and jaws. They also have a relatively big brain. shark.
sciq
Answer the following multiple choice question by selecting the correct option. Question: Nocturnal animals' eyes are very sensitive and used for what? A: tearing B: occuring C: intimidating D: seeing Answer:
Answer the following multiple choice question by selecting the correct option. Context: Fact 1: eyes are used for seeing by animals by sensing light Fact 2: Nocturnal animals' eyes are very light sensitive. Combined: Nocturnal animals' eyes are very sensitive and used for seeing Question: Nocturnal animals' eyes are very sensitive and used for what? A: tearing B: occuring C: intimidating D: seeing Answer:
Nocturnal animals' eyes are very sensitive and used for what?
tearing
occuring
intimidating
seeing
D
Fact 1: eyes are used for seeing by animals by sensing light Fact 2: Nocturnal animals' eyes are very light sensitive. Combined: Nocturnal animals' eyes are very sensitive and used for seeing
qasc
Answer the following multiple choice question by selecting the correct option. Question: A car mechanic purchased four old cars for Rs. 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. what is the average sale price of the rest three cars to get 90% total profit if he has already sold one of the four cars at Rs. 1.2 lakh? A: 1.8 lakh B: 1.5 lakh C: 1.9 lakh D: 8.1 lakh Answer:
Answer the following multiple choice question by selecting the correct option. Context: Explanation: Total cost of 4 cars = 1+2 = 3 lakh Total SP of 4 cars = 3 x 1.9 = 5.7 lakh SP of 1 car = 1.2 lakh SP of rest 3 cars = 5.7 - 1.2 = 4.5 lakh Average SP of all the 3 cars = 1.5 lakh Answer: B) Question: A car mechanic purchased four old cars for Rs. 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. what is the average sale price of the rest three cars to get 90% total profit if he has already sold one of the four cars at Rs. 1.2 lakh? A: 1.8 lakh B: 1.5 lakh C: 1.9 lakh D: 8.1 lakh Answer:
A car mechanic purchased four old cars for Rs. 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. what is the average sale price of the rest three cars to get 90% total profit if he has already sold one of the four cars at Rs. 1.2 lakh?
1.8 lakh
1.5 lakh
1.9 lakh
8.1 lakh
B
Explanation: Total cost of 4 cars = 1+2 = 3 lakh Total SP of 4 cars = 3 x 1.9 = 5.7 lakh SP of 1 car = 1.2 lakh SP of rest 3 cars = 5.7 - 1.2 = 4.5 lakh Average SP of all the 3 cars = 1.5 lakh Answer: B)
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: When a mammal's habitat is destructed, what does it do? A: Destroy crops B: death and devastation C: stay in the habitat D: move to another habitat Answer:
Answer the following multiple choice question by selecting the correct option. Context: Fact 1: habitat destruction causes animals to move to find shelter in another habitat Fact 2: Mammals are a class of animal. Combined: When a mammal's habitat is destructed, it causes the mammal to move to find shelter in another habitat. Question: When a mammal's habitat is destructed, what does it do? A: Destroy crops B: death and devastation C: stay in the habitat D: move to another habitat Answer:
When a mammal's habitat is destructed, what does it do?
Destroy crops
death and devastation
stay in the habitat
move to another habitat
D
Fact 1: habitat destruction causes animals to move to find shelter in another habitat Fact 2: Mammals are a class of animal. Combined: When a mammal's habitat is destructed, it causes the mammal to move to find shelter in another habitat.
qasc
Answer the following multiple choice question by selecting the correct option. Question: Which rock is a fingernail harder than? A: Copper B: Graphite C: Calcite D: Quartz Answer:
Answer the following multiple choice question by selecting the correct option. Context: measuring the hardness of minerals requires scratching those materials Question: Which rock is a fingernail harder than? A: Copper B: Graphite C: Calcite D: Quartz Answer:
Which rock is a fingernail harder than?
Copper
Graphite
Calcite
Quartz
B
measuring the hardness of minerals requires scratching those materials
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: Iron can be found on A: rocky areas B: ants C: wizards D: unicorns Answer:
Answer the following multiple choice question by selecting the correct option. Context: rocks sometimes contain iron Question: Iron can be found on A: rocky areas B: ants C: wizards D: unicorns Answer:
Iron can be found on
rocky areas
ants
wizards
unicorns
A
rocks sometimes contain iron
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: If your dog is getting noticeably skinnier, you need to A: increase its food intake B: play some video games C: feed it less food D: Make it fly away Answer:
Answer the following multiple choice question by selecting the correct option. Context: as the amount of food an animal eats decreases , that organism will become thinner Question: If your dog is getting noticeably skinnier, you need to A: increase its food intake B: play some video games C: feed it less food D: Make it fly away Answer:
If your dog is getting noticeably skinnier, you need to
increase its food intake
play some video games
feed it less food
Make it fly away
A
as the amount of food an animal eats decreases , that organism will become thinner
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: If the price of sugar rises from Rs. 6 per kg to Rs. 7.50 per kg, a person, to have no increase in his expenditure on sugar, will have to reduce his consumption of sugar by A: 10% B: 20% C: 25% D: 30% Answer:
Answer the following multiple choice question by selecting the correct option. Context: Solution Let the original consumption = 100 kg and new consumption = x kg. So, 100 x 6 = x × 7.50 x = 80 kg. Reduction in consumption = 20%. Answer B Question: If the price of sugar rises from Rs. 6 per kg to Rs. 7.50 per kg, a person, to have no increase in his expenditure on sugar, will have to reduce his consumption of sugar by A: 10% B: 20% C: 25% D: 30% Answer:
If the price of sugar rises from Rs. 6 per kg to Rs. 7.50 per kg, a person, to have no increase in his expenditure on sugar, will have to reduce his consumption of sugar by
10%
20%
25%
30%
B
Solution Let the original consumption = 100 kg and new consumption = x kg. So, 100 x 6 = x × 7.50 x = 80 kg. Reduction in consumption = 20%. Answer B
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: 70 91 120 14 13 24 5 7 ? What number should replace the question mark? A: 2 B: 5 C: 3 D: 19 Answer:
Answer the following multiple choice question by selecting the correct option. Context: B 5 70 ÷ 14 = 5; 91 ÷ 13 = 7, 120 ÷ 24 = 5; Question: 70 91 120 14 13 24 5 7 ? What number should replace the question mark? A: 2 B: 5 C: 3 D: 19 Answer:
70 91 120 14 13 24 5 7 ? What number should replace the question mark?
2
5
3
19
B
B 5 70 ÷ 14 = 5; 91 ÷ 13 = 7, 120 ÷ 24 = 5;
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: Zinc is what kind of metal.? A: passive stagnant metal B: active move metal C: active transition metal D: active flow metal Answer:
Answer the following multiple choice question by selecting the correct option. Context: Figure 18.7 Zinc is an active transition metal. It dissolves in hydrochloric acid, forming a solution of colorless Zn 2+ ions, Cl– ions, and hydrogen gas. Question: Zinc is what kind of metal.? A: passive stagnant metal B: active move metal C: active transition metal D: active flow metal Answer:
Zinc is what kind of metal.?
passive stagnant metal
active move metal
active transition metal
active flow metal
C
Figure 18.7 Zinc is an active transition metal. It dissolves in hydrochloric acid, forming a solution of colorless Zn 2+ ions, Cl– ions, and hydrogen gas.
sciq
Answer the following multiple choice question by selecting the correct option. Question: Dew point is the temperature at which what occurs? A: combustion B: fermentation C: condensation D: precipitation Answer:
Answer the following multiple choice question by selecting the correct option. Context: When air is very humid, it doesn’t have to cool very much for water vapor in the air to start condensing. The temperature at which condensation occurs is called the dew point. The dew point varies depending on air temperature and moisture content. It is always less than or equal to the actual air temperature, but warmer air and moister air have dew points closer to the actual air temperature. That’s why glasses of cold drinks “sweat” more on a hot, humid day than they do on a cool, dry day. For more details on the dew point, read the short article at this URL: http://www. kidsgeo. com/geography-for-kids/0108-dew-point. php. Question: Dew point is the temperature at which what occurs? A: combustion B: fermentation C: condensation D: precipitation Answer:
Dew point is the temperature at which what occurs?
combustion
fermentation
condensation
precipitation
C
When air is very humid, it doesn’t have to cool very much for water vapor in the air to start condensing. The temperature at which condensation occurs is called the dew point. The dew point varies depending on air temperature and moisture content. It is always less than or equal to the actual air temperature, but warmer air and moister air have dew points closer to the actual air temperature. That’s why glasses of cold drinks “sweat” more on a hot, humid day than they do on a cool, dry day. For more details on the dew point, read the short article at this URL: http://www. kidsgeo. com/geography-for-kids/0108-dew-point. php.
sciq
Answer the following multiple choice question by selecting the correct option. Question: When we made some confetti it differed from the original sheets of paper in A: color B: pattern C: temperature D: shape Answer:
Answer the following multiple choice question by selecting the correct option. Context: tearing an object changes that object 's shape Question: When we made some confetti it differed from the original sheets of paper in A: color B: pattern C: temperature D: shape Answer:
When we made some confetti it differed from the original sheets of paper in
color
pattern
temperature
shape
D
tearing an object changes that object 's shape
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: Mo is buying valentine's day cards for the class. There are 30 students and he wants to give a Valentine to 60% of them. They cost $2 each. If he has $40, what percentage of his money will he spend on Valentine? A: 135 B: 180 C: 90 D: 100 Answer:
Answer the following multiple choice question by selecting the correct option. Context: He needs 18 valentine's cards because 30 x .6 = <<30*.6=18>>18 He will spend $36 on these because 18 x 2 = <<18*2=36>>36 The proportion of his income spent is .9 because 36 / 40 = <<36/40=.9>>.9 This is 90% of his income because .9 x 100 = <<.9*100=90>>90 #### 90 Question: Mo is buying valentine's day cards for the class. There are 30 students and he wants to give a Valentine to 60% of them. They cost $2 each. If he has $40, what percentage of his money will he spend on Valentine? A: 135 B: 180 C: 90 D: 100 Answer:
Mo is buying valentine's day cards for the class. There are 30 students and he wants to give a Valentine to 60% of them. They cost $2 each. If he has $40, what percentage of his money will he spend on Valentine?
135
180
90
100
C
He needs 18 valentine's cards because 30 x .6 = <<30*.6=18>>18 He will spend $36 on these because 18 x 2 = <<18*2=36>>36 The proportion of his income spent is .9 because 36 / 40 = <<36/40=.9>>.9 This is 90% of his income because .9 x 100 = <<.9*100=90>>90 #### 90
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: If a fox shuffles off the mortal coil, then that fox A: is a burden B: ceases to exist C: is missing D: is pregnant Answer:
Answer the following multiple choice question by selecting the correct option. Context: if a living thing dies then that living thing is dead Question: If a fox shuffles off the mortal coil, then that fox A: is a burden B: ceases to exist C: is missing D: is pregnant Answer:
If a fox shuffles off the mortal coil, then that fox
is a burden
ceases to exist
is missing
is pregnant
B
if a living thing dies then that living thing is dead
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: What kind of cleavage do mammalian eggs exhibit? A: spicule B: holoblastic C: cocklebur D: Meroblastic Answer:
Answer the following multiple choice question by selecting the correct option. Question: What kind of cleavage do mammalian eggs exhibit? A: spicule B: holoblastic C: cocklebur D: Meroblastic Answer:
What kind of cleavage do mammalian eggs exhibit?
spicule
holoblastic
cocklebur
Meroblastic
B
null
sciq
Answer the following multiple choice question by selecting the correct option. Question: What can stay in a dormant state? A: chickenpox B: Most plants C: honeybees D: HIV Answer:
Answer the following multiple choice question by selecting the correct option. Context: Fact 1: Some viruses live in a dormant state inside the body. Fact 2: After an episode of chickenpox, the virus becomes dormant in the body. Combined: chickenpox can stay dormant in the brain Question: What can stay in a dormant state? A: chickenpox B: Most plants C: honeybees D: HIV Answer:
What can stay in a dormant state?
chickenpox
Most plants
honeybees
HIV
A
Fact 1: Some viruses live in a dormant state inside the body. Fact 2: After an episode of chickenpox, the virus becomes dormant in the body. Combined: chickenpox can stay dormant in the brain
qasc
Answer the following multiple choice question by selecting the correct option. Question: The time Juan takes to grab his lunch from his office and back is half the time he takes to read a book. If he has a 4000-page book, how many pages does he read in an hour if he takes 4 hours to move from his office to grab lunch? A: 200 B: 240 C: 250 D: 249 Answer:
Answer the following multiple choice question by selecting the correct option. Context: If Juan takes 4 hours to move from his office to grab lunch, moving from his office and back takes 2*4=<<4*2=8>>8 hours. The time Juan takes to grab his lunch from his office and back is half the time he takes to read a book, meaning he reads a book in 8*2=<<8*2=16>>16 hours. If he has a 4000-page book, he will read 4000/16=<<4000/16=250>>250 pages in an hour. #### 250 Question: The time Juan takes to grab his lunch from his office and back is half the time he takes to read a book. If he has a 4000-page book, how many pages does he read in an hour if he takes 4 hours to move from his office to grab lunch? A: 200 B: 240 C: 250 D: 249 Answer:
The time Juan takes to grab his lunch from his office and back is half the time he takes to read a book. If he has a 4000-page book, how many pages does he read in an hour if he takes 4 hours to move from his office to grab lunch?
200
240
250
249
C
If Juan takes 4 hours to move from his office to grab lunch, moving from his office and back takes 2*4=<<4*2=8>>8 hours. The time Juan takes to grab his lunch from his office and back is half the time he takes to read a book, meaning he reads a book in 8*2=<<8*2=16>>16 hours. If he has a 4000-page book, he will read 4000/16=<<4000/16=250>>250 pages in an hour. #### 250
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: Armand is playing a guessing game with his dad where he has to guess a number his dad is thinking of. His dad tells him that the number, when multiplied by 3, is three less than twice 51. What is the number? A: 23 B: 32 C: 33 D: 34 Answer:
Answer the following multiple choice question by selecting the correct option. Context: 102 is twice 51 because 2 x 51 = <<2*51=102>>102 Three less than 102 is 99 because 102 -3 = <<102-3=99>>99 The number is 33 because 99 / 3 = <<99/3=33>>33 #### 33 Question: Armand is playing a guessing game with his dad where he has to guess a number his dad is thinking of. His dad tells him that the number, when multiplied by 3, is three less than twice 51. What is the number? A: 23 B: 32 C: 33 D: 34 Answer:
Armand is playing a guessing game with his dad where he has to guess a number his dad is thinking of. His dad tells him that the number, when multiplied by 3, is three less than twice 51. What is the number?
23
32
33
34
C
102 is twice 51 because 2 x 51 = <<2*51=102>>102 Three less than 102 is 99 because 102 -3 = <<102-3=99>>99 The number is 33 because 99 / 3 = <<99/3=33>>33 #### 33
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: A group of 10 representatives is to be selected out of 16 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors? A: 16C₅ * 10 B: 16C₇ * 10 C: 16C11 * ¹⁰C₅ D: 12 * ¹⁰C₅ Answer:
Answer the following multiple choice question by selecting the correct option. Context: Here, five seniors out of 16 seniors can be selected in 16C₅ ways. Also, five juniors out of ten juniors can be selected ¹⁰C₅ ways. Hence the total number of different ways of selection = 16C₅ * ¹⁰C₅ = 16C11 * ¹⁰C₅ since 16C₅ = 16C11 ANSWER:C Question: A group of 10 representatives is to be selected out of 16 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors? A: 16C₅ * 10 B: 16C₇ * 10 C: 16C11 * ¹⁰C₅ D: 12 * ¹⁰C₅ Answer:
A group of 10 representatives is to be selected out of 16 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?
16C₅ * 10
16C₇ * 10
16C11 * ¹⁰C₅
12 * ¹⁰C₅
C
Here, five seniors out of 16 seniors can be selected in 16C₅ ways. Also, five juniors out of ten juniors can be selected ¹⁰C₅ ways. Hence the total number of different ways of selection = 16C₅ * ¹⁰C₅ = 16C11 * ¹⁰C₅ since 16C₅ = 16C11 ANSWER:C
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: A student committee that must consists of 5 members is to be formed from a pool of 8 candidates. How many different committees are possible A: 5 B: 8 C: 40 D: 56 Answer:
Answer the following multiple choice question by selecting the correct option. Context: the committee must consist of 5 members, not at least 5 members. Hence, all you have to do is 8C5 = 56 Answer (D) Question: A student committee that must consists of 5 members is to be formed from a pool of 8 candidates. How many different committees are possible A: 5 B: 8 C: 40 D: 56 Answer:
A student committee that must consists of 5 members is to be formed from a pool of 8 candidates. How many different committees are possible
5
8
40
56
D
the committee must consist of 5 members, not at least 5 members. Hence, all you have to do is 8C5 = 56 Answer (D)
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 8 eggs. If the cost of each pound of rice is $0.33, then how many W cents does a liter of kerosene cost? [One dollar has 100 cents.] A: 0.33 B: 0.44 C: 0.55 D: 44 Answer:
Answer the following multiple choice question by selecting the correct option. Context: Main thing to remember is answer is asked in cents, however when we calculate, it comes up as 0.44 $ Just multiply by 100, Answer W= 44.D Question: In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 8 eggs. If the cost of each pound of rice is $0.33, then how many W cents does a liter of kerosene cost? [One dollar has 100 cents.] A: 0.33 B: 0.44 C: 0.55 D: 44 Answer:
In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 8 eggs. If the cost of each pound of rice is $0.33, then how many W cents does a liter of kerosene cost? [One dollar has 100 cents.]
0.33
0.44
0.55
44
D
Main thing to remember is answer is asked in cents, however when we calculate, it comes up as 0.44 $ Just multiply by 100, Answer W= 44.D
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: When gametes fuse, the resultant zygote is: A: fertile B: diploid C: Flowers D: grow Answer:
Answer the following multiple choice question by selecting the correct option. Context: Fact 1: Fertilization occurs when a sperm and an egg fuse to form a diploid zygote. Fact 2: Familiar types of gamete include the female ovum , or egg cell, and the male sperm cell. Combined: Fertilization occurs when the male and female gametes fuse to form a diploid zygote. Question: When gametes fuse, the resultant zygote is: A: fertile B: diploid C: Flowers D: grow Answer:
When gametes fuse, the resultant zygote is:
fertile
diploid
Flowers
grow
B
Fact 1: Fertilization occurs when a sperm and an egg fuse to form a diploid zygote. Fact 2: Familiar types of gamete include the female ovum , or egg cell, and the male sperm cell. Combined: Fertilization occurs when the male and female gametes fuse to form a diploid zygote.
qasc
Answer the following multiple choice question by selecting the correct option. Question: A cooler is filled with 24 cans of cherry soda and orange pop. If there are twice as many cans of orange pop as there are of cherry soda, how many cherry sodas are there? A: 6.4 B: -2 C: 9 D: 8 Answer:
Answer the following multiple choice question by selecting the correct option. Context: There are C cans of cherry soda in the cooler. There are twice as many cans of orange pop, so there are 2C cans of orange pop in the cooler. In all, there are C + 2C = 3C = 24 cans in the cooler. Therefore, there are C = 24 / 3 = <<24/3=8>>8 cans of cherry soda in the cooler. #### 8 Question: A cooler is filled with 24 cans of cherry soda and orange pop. If there are twice as many cans of orange pop as there are of cherry soda, how many cherry sodas are there? A: 6.4 B: -2 C: 9 D: 8 Answer:
A cooler is filled with 24 cans of cherry soda and orange pop. If there are twice as many cans of orange pop as there are of cherry soda, how many cherry sodas are there?
6.4
-2
9
8
D
There are C cans of cherry soda in the cooler. There are twice as many cans of orange pop, so there are 2C cans of orange pop in the cooler. In all, there are C + 2C = 3C = 24 cans in the cooler. Therefore, there are C = 24 / 3 = <<24/3=8>>8 cans of cherry soda in the cooler. #### 8
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: What use enzymes to break down foreign matter and dead cells? A: hormones B: lipids C: lysosomes D: lymphocytes Answer:
Answer the following multiple choice question by selecting the correct option. Context: Lysosomes, which use enzymes to break down foreign matter and dead cells. Question: What use enzymes to break down foreign matter and dead cells? A: hormones B: lipids C: lysosomes D: lymphocytes Answer:
What use enzymes to break down foreign matter and dead cells?
hormones
lipids
lysosomes
lymphocytes
C
Lysosomes, which use enzymes to break down foreign matter and dead cells.
sciq
Answer the following multiple choice question by selecting the correct option. Question: A person pushing energy through a metal beam will cause something to A: electrify B: crowd C: hollow out D: precipitate Answer:
Answer the following multiple choice question by selecting the correct option. Context: sending electricity through a conductor causes electricity to flow through that conductor Question: A person pushing energy through a metal beam will cause something to A: electrify B: crowd C: hollow out D: precipitate Answer:
A person pushing energy through a metal beam will cause something to
electrify
crowd
hollow out
precipitate
A
sending electricity through a conductor causes electricity to flow through that conductor
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: How many minutes does it take John to type z words if he types at the rate of x words per minute? A: x/y B: z/x C: xy D: 60x/y Answer:
Answer the following multiple choice question by selecting the correct option. Context: time*rate=job --> time*x=z --> time=z/x. Answer: B. Question: How many minutes does it take John to type z words if he types at the rate of x words per minute? A: x/y B: z/x C: xy D: 60x/y Answer:
How many minutes does it take John to type z words if he types at the rate of x words per minute?
x/y
z/x
xy
60x/y
B
time*rate=job --> time*x=z --> time=z/x. Answer: B.
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: Jack has 42 pounds, 11 euros, and 3000 yen. If there are 2 pounds per euro and 100 yen per pound, how much does Jack have in yen? A: 7520 B: 9400 C: 9410 D: 18800 Answer:
Answer the following multiple choice question by selecting the correct option. Context: First convert the euros to pounds: 11 euros * 2 pounds/euro = <<11*2=22>>22 pounds. Then add that amount to the amount Jack has in pounds: 22 pounds + 42 pounds = <<22+42=64>>64 pounds. Then convert the pounds to yen: 64 pounds * 100 yen/pound = <<64*100=6400>>6400 yen. Then add that amount to the amount Jack has in yen: 6400 yen + 3000 yen = <<6400+3000=9400>>9400 yen. #### 9400 Question: Jack has 42 pounds, 11 euros, and 3000 yen. If there are 2 pounds per euro and 100 yen per pound, how much does Jack have in yen? A: 7520 B: 9400 C: 9410 D: 18800 Answer:
Jack has 42 pounds, 11 euros, and 3000 yen. If there are 2 pounds per euro and 100 yen per pound, how much does Jack have in yen?
7520
9400
9410
18800
B
First convert the euros to pounds: 11 euros * 2 pounds/euro = <<11*2=22>>22 pounds. Then add that amount to the amount Jack has in pounds: 22 pounds + 42 pounds = <<22+42=64>>64 pounds. Then convert the pounds to yen: 64 pounds * 100 yen/pound = <<64*100=6400>>6400 yen. Then add that amount to the amount Jack has in yen: 6400 yen + 3000 yen = <<6400+3000=9400>>9400 yen. #### 9400
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: Set Q consists of the following five numbers: Q = {7, 8, 13, 21, 34}. Which of the following sets has the same standard deviation as Set Q? I. {35, 38, 43, 51, 64} II. {10, 16, 26, 42, 68} III. {46, 59, 67, 72, 75} A: I only B: III C: IIII D: IIIII Answer:
Answer the following multiple choice question by selecting the correct option. Context: (1) Multiplying all the numbers change Standard Deviation (2) Adding and subtracting all the numbers with the same number keeps the standard deviation same. If you observe Set I and III are added versions of Set Q . Set I: 5 has been added to the Set Q Set III: Subtract each element from 80 and you would find a number there in the Set Q. Set II: elements are multiplied by 2 and standard deviation changes. Hence the answer is A. Question: Set Q consists of the following five numbers: Q = {7, 8, 13, 21, 34}. Which of the following sets has the same standard deviation as Set Q? I. {35, 38, 43, 51, 64} II. {10, 16, 26, 42, 68} III. {46, 59, 67, 72, 75} A: I only B: III C: IIII D: IIIII Answer:
Set Q consists of the following five numbers: Q = {7, 8, 13, 21, 34}. Which of the following sets has the same standard deviation as Set Q? I. {35, 38, 43, 51, 64} II. {10, 16, 26, 42, 68} III. {46, 59, 67, 72, 75}
I only
III
IIII
IIIII
A
(1) Multiplying all the numbers change Standard Deviation (2) Adding and subtracting all the numbers with the same number keeps the standard deviation same. If you observe Set I and III are added versions of Set Q . Set I: 5 has been added to the Set Q Set III: Subtract each element from 80 and you would find a number there in the Set Q. Set II: elements are multiplied by 2 and standard deviation changes. Hence the answer is A.
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: Two wheeled conveyances are held together by A: helically ridged pins B: tape C: glue D: gum Answer:
Answer the following multiple choice question by selecting the correct option. Context: a bicycle contains screws Question: Two wheeled conveyances are held together by A: helically ridged pins B: tape C: glue D: gum Answer:
Two wheeled conveyances are held together by
helically ridged pins
tape
glue
gum
A
a bicycle contains screws
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: what has a life cycle that includes alternation of generations? A: amoeba B: Trees C: bushes D: density Answer:
Answer the following multiple choice question by selecting the correct option. Context: Fact 1: All plants have a characteristic life cycle that includes alternation of generations. Fact 2: All plants are of bush type. Combined: bushes have a life cycle that includes alternation of generations Question: what has a life cycle that includes alternation of generations? A: amoeba B: Trees C: bushes D: density Answer:
what has a life cycle that includes alternation of generations?
amoeba
Trees
bushes
density
C
Fact 1: All plants have a characteristic life cycle that includes alternation of generations. Fact 2: All plants are of bush type. Combined: bushes have a life cycle that includes alternation of generations
qasc
Answer the following multiple choice question by selecting the correct option. Question: A baker bought cooking ingredients in the supermarket. She bought 3 boxes of flour that cost $3 each box, 3 trays of eggs that cost $10 for each tray, 7 liters of milk that cost $5 each liter, and 2 boxes of baking soda that cost $3 each box. How much will she have to pay for everything? A: 160 B: 80 C: 40 D: 70 Answer:
Answer the following multiple choice question by selecting the correct option. Context: The total cost for the flour is 3 x $3 = $<<3*3=9>>9. The total cost of the tray of eggs is 3 x $10 = $<<3*10=30>>30. The total cost for the liter of milk is 7 x $5 = $<<7*5=35>>35. The total cost for the box of baking soda is 2 x $3 = $<<2*3=6>>6. Therefore, the total cost for all the ingredients is $9 + $30 + $35 + $6 = $<<9+30+35+6=80>>80. #### 80 Question: A baker bought cooking ingredients in the supermarket. She bought 3 boxes of flour that cost $3 each box, 3 trays of eggs that cost $10 for each tray, 7 liters of milk that cost $5 each liter, and 2 boxes of baking soda that cost $3 each box. How much will she have to pay for everything? A: 160 B: 80 C: 40 D: 70 Answer:
A baker bought cooking ingredients in the supermarket. She bought 3 boxes of flour that cost $3 each box, 3 trays of eggs that cost $10 for each tray, 7 liters of milk that cost $5 each liter, and 2 boxes of baking soda that cost $3 each box. How much will she have to pay for everything?
160
80
40
70
B
The total cost for the flour is 3 x $3 = $<<3*3=9>>9. The total cost of the tray of eggs is 3 x $10 = $<<3*10=30>>30. The total cost for the liter of milk is 7 x $5 = $<<7*5=35>>35. The total cost for the box of baking soda is 2 x $3 = $<<2*3=6>>6. Therefore, the total cost for all the ingredients is $9 + $30 + $35 + $6 = $<<9+30+35+6=80>>80. #### 80
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: Freddy is 2 years younger than Stephanie. Stephanie is 4 times as old as Job. If Job is 5, how old is Freddy? A: 19 B: 18 C: 8 D: 14.4 Answer:
Answer the following multiple choice question by selecting the correct option. Context: Stephanie is 5 * 4 = <<5*4=20>>20 years old Freddy is 20 - 2 = <<20-2=18>>18 years old #### 18 Question: Freddy is 2 years younger than Stephanie. Stephanie is 4 times as old as Job. If Job is 5, how old is Freddy? A: 19 B: 18 C: 8 D: 14.4 Answer:
Freddy is 2 years younger than Stephanie. Stephanie is 4 times as old as Job. If Job is 5, how old is Freddy?
19
18
8
14.4
B
Stephanie is 5 * 4 = <<5*4=20>>20 years old Freddy is 20 - 2 = <<20-2=18>>18 years old #### 18
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: A polar bear is white because A: it's a lame Turkish professor in a third rate Pennsylvanian college B: it's covered in polar snow ice C: it wants to make a Grizzly bear jealous D: its parents had white fur Answer:
Answer the following multiple choice question by selecting the correct option. Context: the coloration of fur is an inherited characteristic Question: A polar bear is white because A: it's a lame Turkish professor in a third rate Pennsylvanian college B: it's covered in polar snow ice C: it wants to make a Grizzly bear jealous D: its parents had white fur Answer:
A polar bear is white because
it's a lame Turkish professor in a third rate Pennsylvanian college
it's covered in polar snow ice
it wants to make a Grizzly bear jealous
its parents had white fur
D
the coloration of fur is an inherited characteristic
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: John Smith buys 3 cakes for $12 each and splits the cost with his brother. How much did he pay? A: 18 B: 9 C: 14.4 D: 27 Answer:
Answer the following multiple choice question by selecting the correct option. Context: The cakes cost 3*12=$<<3*12=36>>36 So he paid 36/2=$<<36/2=18>>18 #### 18 Question: John Smith buys 3 cakes for $12 each and splits the cost with his brother. How much did he pay? A: 18 B: 9 C: 14.4 D: 27 Answer:
John Smith buys 3 cakes for $12 each and splits the cost with his brother. How much did he pay?
18
9
14.4
27
A
The cakes cost 3*12=$<<3*12=36>>36 So he paid 36/2=$<<36/2=18>>18 #### 18
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: A train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the train must run to reduce the time of journey to 40min will be. A: 60 km/h B: 55 km/h C: 40 km/h D: 70 km/h Answer:
Answer the following multiple choice question by selecting the correct option. Context: Time=50/60 hr=5/6hr Speed=48mph distance=S*T=48*5/6=40km time=40/60hr=2/3hr New speed = 40* 3/2 kmph= 60kmph Answer : A Question: A train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the train must run to reduce the time of journey to 40min will be. A: 60 km/h B: 55 km/h C: 40 km/h D: 70 km/h Answer:
A train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the train must run to reduce the time of journey to 40min will be.
60 km/h
55 km/h
40 km/h
70 km/h
A
Time=50/60 hr=5/6hr Speed=48mph distance=S*T=48*5/6=40km time=40/60hr=2/3hr New speed = 40* 3/2 kmph= 60kmph Answer : A
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: What is the exchange of plasmids by prokaryotes called? A: biochemical transfer B: transcription C: genetic transfer D: artificial transfer Answer:
Answer the following multiple choice question by selecting the correct option. Context: For natural selection to take place, organisms must vary in their traits. Asexual reproduction results in offspring that are all the same. They are also identical to the parent cell. So how can prokaryotes increase genetic variation? They can exchange plasmids. This is called genetic transfer . It may happen by direct contact between cells. Or a "bridge" may form between cells. Genetic transfer mixes the genes of different cells. It creates new combinations of alleles. Question: What is the exchange of plasmids by prokaryotes called? A: biochemical transfer B: transcription C: genetic transfer D: artificial transfer Answer:
What is the exchange of plasmids by prokaryotes called?
biochemical transfer
transcription
genetic transfer
artificial transfer
C
For natural selection to take place, organisms must vary in their traits. Asexual reproduction results in offspring that are all the same. They are also identical to the parent cell. So how can prokaryotes increase genetic variation? They can exchange plasmids. This is called genetic transfer . It may happen by direct contact between cells. Or a "bridge" may form between cells. Genetic transfer mixes the genes of different cells. It creates new combinations of alleles.
sciq
Answer the following multiple choice question by selecting the correct option. Question: John with his five friends ordered 3 pizzas. Each pizza had 8 slices. If they all finished and ate the same amount of pizzas, how many slices did each person eat? A: 4 B: 14 C: 6 D: 5 Answer:
Answer the following multiple choice question by selecting the correct option. Context: There were 3 x 8 = <<3*8=24>>24 slices of pizza. Since there were 6 persons, then each person ate 24/6 = <<24/6=4>>4 slices #### 4 Question: John with his five friends ordered 3 pizzas. Each pizza had 8 slices. If they all finished and ate the same amount of pizzas, how many slices did each person eat? A: 4 B: 14 C: 6 D: 5 Answer:
John with his five friends ordered 3 pizzas. Each pizza had 8 slices. If they all finished and ate the same amount of pizzas, how many slices did each person eat?
4
14
6
5
A
There were 3 x 8 = <<3*8=24>>24 slices of pizza. Since there were 6 persons, then each person ate 24/6 = <<24/6=4>>4 slices #### 4
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: In qualitative analysis, reagents are added to an unknown chemical mixture in order to induce what? A: sunlight B: erosion C: motion D: precipitation Answer:
Answer the following multiple choice question by selecting the correct option. Context: Selective precipitation can also be used in qualitative analysis. In this method, reagents are added to an unknown chemical mixture in order to induce precipitation. Certain reagents cause specific ions to precipitate out; therefore, the addition of the reagent can be used to determine whether the ion is present in the solution. Question: In qualitative analysis, reagents are added to an unknown chemical mixture in order to induce what? A: sunlight B: erosion C: motion D: precipitation Answer:
In qualitative analysis, reagents are added to an unknown chemical mixture in order to induce what?
sunlight
erosion
motion
precipitation
D
Selective precipitation can also be used in qualitative analysis. In this method, reagents are added to an unknown chemical mixture in order to induce precipitation. Certain reagents cause specific ions to precipitate out; therefore, the addition of the reagent can be used to determine whether the ion is present in the solution.
sciq
Answer the following multiple choice question by selecting the correct option. Question: Kelly puts string cheeses in her kids lunches 5 days per week. Her oldest wants 2 every day and her youngest will only eat 1. The packages come with 30 string cheeses per pack. How many packages of string cheese will Kelly need to fill her kids lunches for 4 weeks? A: -8 B: 12 C: 2 D: 3 Answer:
Answer the following multiple choice question by selecting the correct option. Context: Her oldest wants 2 strings cheeses a day for 5 days so 2*5 = <<2*5=10>>10 string cheeses Her youngest wants 1 string cheese a day for 5 days so 1*5 = <<1*5=5>>5 string cheeses Together they want 10+5= <<10+5=15>>15 string cheeses a week Over 4 weeks, her kids will eat 15 string cheeses so 4*15 = <<15*4=60>>60 string cheeses The bags have 30 per pack and she needs 60 so 60/30 = <<60/30=2>>2 packs of string cheese #### 2 Question: Kelly puts string cheeses in her kids lunches 5 days per week. Her oldest wants 2 every day and her youngest will only eat 1. The packages come with 30 string cheeses per pack. How many packages of string cheese will Kelly need to fill her kids lunches for 4 weeks? A: -8 B: 12 C: 2 D: 3 Answer:
Kelly puts string cheeses in her kids lunches 5 days per week. Her oldest wants 2 every day and her youngest will only eat 1. The packages come with 30 string cheeses per pack. How many packages of string cheese will Kelly need to fill her kids lunches for 4 weeks?
-8
12
2
3
C
Her oldest wants 2 strings cheeses a day for 5 days so 2*5 = <<2*5=10>>10 string cheeses Her youngest wants 1 string cheese a day for 5 days so 1*5 = <<1*5=5>>5 string cheeses Together they want 10+5= <<10+5=15>>15 string cheeses a week Over 4 weeks, her kids will eat 15 string cheeses so 4*15 = <<15*4=60>>60 string cheeses The bags have 30 per pack and she needs 60 so 60/30 = <<60/30=2>>2 packs of string cheese #### 2
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: A person who is working on setting up power for their cottage will avoid A: installing new power outlets B: working on their wiring C: installing electrical wires in walls D: standing in a puddle Answer:
Answer the following multiple choice question by selecting the correct option. Context: water is an electrical conductor Question: A person who is working on setting up power for their cottage will avoid A: installing new power outlets B: working on their wiring C: installing electrical wires in walls D: standing in a puddle Answer:
A person who is working on setting up power for their cottage will avoid
installing new power outlets
working on their wiring
installing electrical wires in walls
standing in a puddle
D
water is an electrical conductor
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: If y exceeds x by 35%, then x is less than y by? A: 16 2/9% B: 25 5/27% C: 16 2/3% D: 12 2/3% Answer:
Answer the following multiple choice question by selecting the correct option. Context: X=100 y=135 135------35 100-------? => 25 5/27% Answer:B Question: If y exceeds x by 35%, then x is less than y by? A: 16 2/9% B: 25 5/27% C: 16 2/3% D: 12 2/3% Answer:
If y exceeds x by 35%, then x is less than y by?
16 2/9%
25 5/27%
16 2/3%
12 2/3%
B
X=100 y=135 135------35 100-------? => 25 5/27% Answer:B
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: Plants are like all other organisms, in that they need what to survive? A: sustenance B: shoes C: games D: internet Answer:
Answer the following multiple choice question by selecting the correct option. Context: an plant requires food for survival Question: Plants are like all other organisms, in that they need what to survive? A: sustenance B: shoes C: games D: internet Answer:
Plants are like all other organisms, in that they need what to survive?
sustenance
shoes
games
internet
A
an plant requires food for survival
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: What is the American Petroleum Institute (API) gravity? A: API gravity is a measure of how heavy or light a petroleum liquid is compared to water. It is an inverse measure of a petroleum liquid's density relative to that of water and is graduated in degrees on a hydrometer instrument. B: API gravity is a measure of the viscosity of a petroleum liquid. It is an inverse measure of a petroleum liquid's density relative to that of water and is graduated in degrees on a hydrometer instrument. C: API gravity is a measure of the temperature at which a petroleum liquid freezes. It is an inverse measure of a petroleum liquid's density relative to that of water and is graduated in degrees on a hydrometer instrument. D: API gravity is a measure of how much petroleum liquid is present in a given volume of water. It is an inverse measure of a petroleum liquid's density relative to that of water and is graduated in degrees on a hydrometer instrument. Answer:
Answer the following multiple choice question by selecting the correct option. Question: What is the American Petroleum Institute (API) gravity? A: API gravity is a measure of how heavy or light a petroleum liquid is compared to water. It is an inverse measure of a petroleum liquid's density relative to that of water and is graduated in degrees on a hydrometer instrument. B: API gravity is a measure of the viscosity of a petroleum liquid. It is an inverse measure of a petroleum liquid's density relative to that of water and is graduated in degrees on a hydrometer instrument. C: API gravity is a measure of the temperature at which a petroleum liquid freezes. It is an inverse measure of a petroleum liquid's density relative to that of water and is graduated in degrees on a hydrometer instrument. D: API gravity is a measure of how much petroleum liquid is present in a given volume of water. It is an inverse measure of a petroleum liquid's density relative to that of water and is graduated in degrees on a hydrometer instrument. Answer:
What is the American Petroleum Institute (API) gravity?
API gravity is a measure of how heavy or light a petroleum liquid is compared to water. It is an inverse measure of a petroleum liquid's density relative to that of water and is graduated in degrees on a hydrometer instrument.
API gravity is a measure of the viscosity of a petroleum liquid. It is an inverse measure of a petroleum liquid's density relative to that of water and is graduated in degrees on a hydrometer instrument.
API gravity is a measure of the temperature at which a petroleum liquid freezes. It is an inverse measure of a petroleum liquid's density relative to that of water and is graduated in degrees on a hydrometer instrument.
API gravity is a measure of how much petroleum liquid is present in a given volume of water. It is an inverse measure of a petroleum liquid's density relative to that of water and is graduated in degrees on a hydrometer instrument.
A
null
llm_science
Answer the following multiple choice question by selecting the correct option. Question: Humming birds may help the growth of A: cars B: buildings C: ants D: tulips Answer:
Answer the following multiple choice question by selecting the correct option. Context: An example of seed dispersal is animals eating seeds Question: Humming birds may help the growth of A: cars B: buildings C: ants D: tulips Answer:
Humming birds may help the growth of
cars
buildings
ants
tulips
D
An example of seed dispersal is animals eating seeds
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business ? A: 2:3:9 B: 24:25:36 C: 7:6:10 D: 12 : 15 : 16 Answer:
Answer the following multiple choice question by selecting the correct option. Context: Explanation: Aman : Rakhi : Sagar =(70000×36)=(70000×36) :(105000×30):(105000×30) :(140000×24):(140000×24) =12:15:16=12:15:16. ANSWER IS D Question: Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business ? A: 2:3:9 B: 24:25:36 C: 7:6:10 D: 12 : 15 : 16 Answer:
Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business ?
2:3:9
24:25:36
7:6:10
12 : 15 : 16
D
Explanation: Aman : Rakhi : Sagar =(70000×36)=(70000×36) :(105000×30):(105000×30) :(140000×24):(140000×24) =12:15:16=12:15:16. ANSWER IS D
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: what does uneven heating of Earth's surface cause? A: kinetic energy B: global warming C: erosion D: moving air Answer:
Answer the following multiple choice question by selecting the correct option. Context: Fact 1: uneven heating of the Earth 's surface cause wind Fact 2: Wind is air that is moving. Combined: uneven heating of the Earth's surface causes moving air Question: what does uneven heating of Earth's surface cause? A: kinetic energy B: global warming C: erosion D: moving air Answer:
what does uneven heating of Earth's surface cause?
kinetic energy
global warming
erosion
moving air
D
Fact 1: uneven heating of the Earth 's surface cause wind Fact 2: Wind is air that is moving. Combined: uneven heating of the Earth's surface causes moving air
qasc
Answer the following multiple choice question by selecting the correct option. Question: Two trains one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 81 hours and 9 hours respectively. The ratio of their speeds is A: 1 : 2 B: 2 : 3 C: 1 : 3 D: 4 : 5 Answer:
Answer the following multiple choice question by selecting the correct option. Context: Sol. Let us name the trains as A and B. Then, (A's speed) : (B's speed) = √b : √a = √9 : √81 = 3 : 9. => 1 : 3 Answer C Question: Two trains one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 81 hours and 9 hours respectively. The ratio of their speeds is A: 1 : 2 B: 2 : 3 C: 1 : 3 D: 4 : 5 Answer:
Two trains one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 81 hours and 9 hours respectively. The ratio of their speeds is
1 : 2
2 : 3
1 : 3
4 : 5
C
Sol. Let us name the trains as A and B. Then, (A's speed) : (B's speed) = √b : √a = √9 : √81 = 3 : 9. => 1 : 3 Answer C
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: When certain things are shoved together enough, the earth will tremble and shake because of these A: trail and error B: water road C: dirt collisions D: wet trail Answer:
Answer the following multiple choice question by selecting the correct option. Context: tectonic plates being pushed together causes earthquakes Question: When certain things are shoved together enough, the earth will tremble and shake because of these A: trail and error B: water road C: dirt collisions D: wet trail Answer:
When certain things are shoved together enough, the earth will tremble and shake because of these
trail and error
water road
dirt collisions
wet trail
C
tectonic plates being pushed together causes earthquakes
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: Emphysema can be caused by A: Pollution B: nitric oxide C: smoking D: steroids Answer:
Answer the following multiple choice question by selecting the correct option. Context: Fact 1: smoking causes direct damage to the lungs Fact 2: With emphysema, there is permanent lung damage in the alveoli. Combined: smoking causes emphysema Question: Emphysema can be caused by A: Pollution B: nitric oxide C: smoking D: steroids Answer:
Emphysema can be caused by
Pollution
nitric oxide
smoking
steroids
C
Fact 1: smoking causes direct damage to the lungs Fact 2: With emphysema, there is permanent lung damage in the alveoli. Combined: smoking causes emphysema
qasc
Answer the following multiple choice question by selecting the correct option. Question: Since June is cold and wet in Australia, it makes sense that at the same time A: Michigan would experience a heat wave B: Florida would be raining C: winter would be raging in Colorado D: everywhere in the world is cold Answer:
Answer the following multiple choice question by selecting the correct option. Context: June is during the winter in the southern hemisphere Question: Since June is cold and wet in Australia, it makes sense that at the same time A: Michigan would experience a heat wave B: Florida would be raining C: winter would be raging in Colorado D: everywhere in the world is cold Answer:
Since June is cold and wet in Australia, it makes sense that at the same time
Michigan would experience a heat wave
Florida would be raining
winter would be raging in Colorado
everywhere in the world is cold
A
June is during the winter in the southern hemisphere
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: For a fundraiser, Nellie needs to sell 45 rolls of gift wrap. So far, she has sold 1 roll to her grandmother, 10 rolls to her uncle, and 6 rolls to a neighbor. How many more rolls of gift wrap does Nellie need to sell? A: 42 B: 28 C: 18 D: 56 Answer:
Answer the following multiple choice question by selecting the correct option. Context: The number of rolls already sold is 1 + 10 + 6 = <<1+10+6=17>>17. Nellie needs to sell 45 − 17 = 28 more rolls of gift wrap. #### 28 Question: For a fundraiser, Nellie needs to sell 45 rolls of gift wrap. So far, she has sold 1 roll to her grandmother, 10 rolls to her uncle, and 6 rolls to a neighbor. How many more rolls of gift wrap does Nellie need to sell? A: 42 B: 28 C: 18 D: 56 Answer:
For a fundraiser, Nellie needs to sell 45 rolls of gift wrap. So far, she has sold 1 roll to her grandmother, 10 rolls to her uncle, and 6 rolls to a neighbor. How many more rolls of gift wrap does Nellie need to sell?
42
28
18
56
B
The number of rolls already sold is 1 + 10 + 6 = <<1+10+6=17>>17. Nellie needs to sell 45 − 17 = 28 more rolls of gift wrap. #### 28
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: Ethan makes beeswax candles. For each candle, he uses 8 ounces of beeswax and 1 ounce of coconut oil. If he makes three less than 10 candles, what will be the combined weight of the candles in ounces? A: 126 B: 94.5 C: 62 D: 63 Answer:
Answer the following multiple choice question by selecting the correct option. Context: If each candle is 8 ounces of beeswax and 1 ounce of coconut oil, then each candle weighs 8+1=<<8+1=9>>9 ounces. Three less than 10 candles is 10-3=<<10-3=7>>7 candles. Thus, 7 candles, each weighing 9 ounces, will have a combined weight of 7*9=<<7*9=63>>63 ounces. #### 63 Question: Ethan makes beeswax candles. For each candle, he uses 8 ounces of beeswax and 1 ounce of coconut oil. If he makes three less than 10 candles, what will be the combined weight of the candles in ounces? A: 126 B: 94.5 C: 62 D: 63 Answer:
Ethan makes beeswax candles. For each candle, he uses 8 ounces of beeswax and 1 ounce of coconut oil. If he makes three less than 10 candles, what will be the combined weight of the candles in ounces?
126
94.5
62
63
D
If each candle is 8 ounces of beeswax and 1 ounce of coconut oil, then each candle weighs 8+1=<<8+1=9>>9 ounces. Three less than 10 candles is 10-3=<<10-3=7>>7 candles. Thus, 7 candles, each weighing 9 ounces, will have a combined weight of 7*9=<<7*9=63>>63 ounces. #### 63
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: What enthalpy change is observed in an exothermic reaction? A: positive B: entropy C: no change D: negative Answer:
Answer the following multiple choice question by selecting the correct option. Context: The reaction is exothermic and thus the sign of the enthalpy change is negative. Question: What enthalpy change is observed in an exothermic reaction? A: positive B: entropy C: no change D: negative Answer:
What enthalpy change is observed in an exothermic reaction?
positive
entropy
no change
negative
D
The reaction is exothermic and thus the sign of the enthalpy change is negative.
sciq
Answer the following multiple choice question by selecting the correct option. Question: A train travels 360 miles in 3 hours. At the same rate, how many additional hours would it take to travel an additional 240 miles? A: 4 B: 12 C: 2 D: -8 Answer:
Answer the following multiple choice question by selecting the correct option. Context: The rate is 360/3=<<360/3=120>>120 mph. Then it would take 240/120=<<240/120=2>>2 additional hours. #### 2 Question: A train travels 360 miles in 3 hours. At the same rate, how many additional hours would it take to travel an additional 240 miles? A: 4 B: 12 C: 2 D: -8 Answer:
A train travels 360 miles in 3 hours. At the same rate, how many additional hours would it take to travel an additional 240 miles?
4
12
2
-8
C
The rate is 360/3=<<360/3=120>>120 mph. Then it would take 240/120=<<240/120=2>>2 additional hours. #### 2
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: Marissa is serving her kids lunch. Each kid gets a burger with 400 calories and 5 carrot sticks with 20 calories each, and some cookies with 50 calories each. Marissa wants each kid to eat a total of 750 calories for lunch. How many cookies does each kid get? A: 5 B: 2.5 C: 6 D: 15 Answer:
Answer the following multiple choice question by selecting the correct option. Context: First figure out how many total calories come from the carrots by multiplying the calories per carrot by the number of carrots: 20 calories/carrot * 5 carrots = <<20*5=100>>100 calories Then subtract the calories the kids have already eaten from the goal number of calories to find out how many more total calories they should eat: 750 calories - 400 calories - 100 calories = <<750-400-100=250>>250 calories Then divide the total number of calories by the calories per cookie to find the number of cookies each kid gets: 250 calories / 50 calories/cookie = <<250/50=5>>5 cookies #### 5 Question: Marissa is serving her kids lunch. Each kid gets a burger with 400 calories and 5 carrot sticks with 20 calories each, and some cookies with 50 calories each. Marissa wants each kid to eat a total of 750 calories for lunch. How many cookies does each kid get? A: 5 B: 2.5 C: 6 D: 15 Answer:
Marissa is serving her kids lunch. Each kid gets a burger with 400 calories and 5 carrot sticks with 20 calories each, and some cookies with 50 calories each. Marissa wants each kid to eat a total of 750 calories for lunch. How many cookies does each kid get?
5
2.5
6
15
A
First figure out how many total calories come from the carrots by multiplying the calories per carrot by the number of carrots: 20 calories/carrot * 5 carrots = <<20*5=100>>100 calories Then subtract the calories the kids have already eaten from the goal number of calories to find out how many more total calories they should eat: 750 calories - 400 calories - 100 calories = <<750-400-100=250>>250 calories Then divide the total number of calories by the calories per cookie to find the number of cookies each kid gets: 250 calories / 50 calories/cookie = <<250/50=5>>5 cookies #### 5
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed : A: 30 birds B: 60 birds C: 72 birds D: 90 birds Answer:
Answer the following multiple choice question by selecting the correct option. Context: Explanation: Let the no of shots be x. Then, Shots fired by A = 5/8x Shots fired by B = 3/8x Killing shots by A = 1/3 of 5/8x= 5/24x shots missed by B =1/2 of 3/8x =3/16x therefore, 3/16x=27=> x=144 Birds killed by A = 5/24x=(5/24)x144=30 ANSWER IS A Question: A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed : A: 30 birds B: 60 birds C: 72 birds D: 90 birds Answer:
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed :
30 birds
60 birds
72 birds
90 birds
A
Explanation: Let the no of shots be x. Then, Shots fired by A = 5/8x Shots fired by B = 3/8x Killing shots by A = 1/3 of 5/8x= 5/24x shots missed by B =1/2 of 3/8x =3/16x therefore, 3/16x=27=> x=144 Birds killed by A = 5/24x=(5/24)x144=30 ANSWER IS A
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: Dinosaurs filled the niches that mammals fill today during which era? A: mesozoic B: Cenozoic C: Proterozoic D: Phanerozoic Answer:
Answer the following multiple choice question by selecting the correct option. Context: In the Mesozoic, dinosaurs filled the niches that mammals fill today. Question: Dinosaurs filled the niches that mammals fill today during which era? A: mesozoic B: Cenozoic C: Proterozoic D: Phanerozoic Answer:
Dinosaurs filled the niches that mammals fill today during which era?
mesozoic
Cenozoic
Proterozoic
Phanerozoic
A
In the Mesozoic, dinosaurs filled the niches that mammals fill today.
sciq
Answer the following multiple choice question by selecting the correct option. Question: The first train leaves the station at 6:00 am with a speed of 60 km/hr. The second train leaves at 7:30 am, in the same direction from the same station, with a speed of 75 km/hr. What time will the second train catch the first train? A: 11:30 am B: 12:30 pm C: 1:30 pm D: 2:30 pm Answer:
Answer the following multiple choice question by selecting the correct option. Context: In ninety minutes, the first train travels 90 km. The second train catches the first train with a relative speed of 15 km/h. The second train will catch the first train in 6 hours. The second train will catch the first train at 1:30 pm. The answer is C. Question: The first train leaves the station at 6:00 am with a speed of 60 km/hr. The second train leaves at 7:30 am, in the same direction from the same station, with a speed of 75 km/hr. What time will the second train catch the first train? A: 11:30 am B: 12:30 pm C: 1:30 pm D: 2:30 pm Answer:
The first train leaves the station at 6:00 am with a speed of 60 km/hr. The second train leaves at 7:30 am, in the same direction from the same station, with a speed of 75 km/hr. What time will the second train catch the first train?
11:30 am
12:30 pm
1:30 pm
2:30 pm
C
In ninety minutes, the first train travels 90 km. The second train catches the first train with a relative speed of 15 km/h. The second train will catch the first train in 6 hours. The second train will catch the first train at 1:30 pm. The answer is C.
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: Teresa is collecting pencils. She has 14 colored pencils and 35 black pencils. Her three younger siblings need pencils for class and their dad asks her to share all her pencils, giving each an equal number of pencils, regardless of color. He tells her she can keep 10 of them for herself. How many pencils does each sibling get? A: 19.5 B: 13 C: 14 D: 12 Answer:
Answer the following multiple choice question by selecting the correct option. Context: Teresa has 49 pencils because 14 + 35 = <<14+35=49>>49 Teresa gives away 39 pencils because 49 - 10 = <<49-10=39>>39 Each sibling gets 13 pencils because 39 / 3 = <<39/3=13>>13 #### 13 Question: Teresa is collecting pencils. She has 14 colored pencils and 35 black pencils. Her three younger siblings need pencils for class and their dad asks her to share all her pencils, giving each an equal number of pencils, regardless of color. He tells her she can keep 10 of them for herself. How many pencils does each sibling get? A: 19.5 B: 13 C: 14 D: 12 Answer:
Teresa is collecting pencils. She has 14 colored pencils and 35 black pencils. Her three younger siblings need pencils for class and their dad asks her to share all her pencils, giving each an equal number of pencils, regardless of color. He tells her she can keep 10 of them for herself. How many pencils does each sibling get?
19.5
13
14
12
B
Teresa has 49 pencils because 14 + 35 = <<14+35=49>>49 Teresa gives away 39 pencils because 49 - 10 = <<49-10=39>>39 Each sibling gets 13 pencils because 39 / 3 = <<39/3=13>>13 #### 13
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: A group of bunnies move into a field and start to have litters of kits, and soon rabbits are all over the field, so the foxes that live six miles away A: relocate to the field B: eat all the bunnies C: find new food sources D: start to go hungry Answer:
Answer the following multiple choice question by selecting the correct option. Context: most predators live near the same environment as their prey Question: A group of bunnies move into a field and start to have litters of kits, and soon rabbits are all over the field, so the foxes that live six miles away A: relocate to the field B: eat all the bunnies C: find new food sources D: start to go hungry Answer:
A group of bunnies move into a field and start to have litters of kits, and soon rabbits are all over the field, so the foxes that live six miles away
relocate to the field
eat all the bunnies
find new food sources
start to go hungry
A
most predators live near the same environment as their prey
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: If Katherine has 4 apples and 3 times as many pears in her fridge, how many bananas does she have if she has a total of 21 pieces of fruit? A: 10 B: 6 C: 7.5 D: 5 Answer:
Answer the following multiple choice question by selecting the correct option. Context: Katherine has a total of 3 * 4 apples = <<3*4=12>>12 pears She therefore had 4 apples + 12 pears = <<4+12=16>>16 apples and pears We know she has 21 total pieces of fruit, so this means she must have 21 total - 16 = <<21-16=5>>5 bananas #### 5 Question: If Katherine has 4 apples and 3 times as many pears in her fridge, how many bananas does she have if she has a total of 21 pieces of fruit? A: 10 B: 6 C: 7.5 D: 5 Answer:
If Katherine has 4 apples and 3 times as many pears in her fridge, how many bananas does she have if she has a total of 21 pieces of fruit?
10
6
7.5
5
D
Katherine has a total of 3 * 4 apples = <<3*4=12>>12 pears She therefore had 4 apples + 12 pears = <<4+12=16>>16 apples and pears We know she has 21 total pieces of fruit, so this means she must have 21 total - 16 = <<21-16=5>>5 bananas #### 5
gsm8k_converted
Answer the following multiple choice question by selecting the correct option. Question: which of these need to be present for a tectonic plate movement A: a pool of molten lava B: an ocean with fish C: a river flowing north D: a crack in the core Answer:
Answer the following multiple choice question by selecting the correct option. Context: a tectonic plate moves along a fault line Question: which of these need to be present for a tectonic plate movement A: a pool of molten lava B: an ocean with fish C: a river flowing north D: a crack in the core Answer:
which of these need to be present for a tectonic plate movement
a pool of molten lava
an ocean with fish
a river flowing north
a crack in the core
D
a tectonic plate moves along a fault line
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: What does incubation require?? A: pollen B: wind C: Proteins D: warmth Answer:
Answer the following multiple choice question by selecting the correct option. Context: Fact 1: an egg requires warmth to survive Fact 2: Eggs depend upon body warmth to incubate. Combined: incubation requires warmth Question: What does incubation require?? A: pollen B: wind C: Proteins D: warmth Answer:
What does incubation require??
pollen
wind
Proteins
warmth
D
Fact 1: an egg requires warmth to survive Fact 2: Eggs depend upon body warmth to incubate. Combined: incubation requires warmth
qasc
Answer the following multiple choice question by selecting the correct option. Question: What do mammals contain? A: food B: ghosts C: keratin D: Animal fur Answer:
Answer the following multiple choice question by selecting the correct option. Context: Fact 1: Hair is a fiber that is found only in mammals. Fact 2: Hair is largely made of keratin, a protein that contains a lot of the amino acid cystine . Combined: mammals contain keratin Question: What do mammals contain? A: food B: ghosts C: keratin D: Animal fur Answer:
What do mammals contain?
food
ghosts
keratin
Animal fur
C
Fact 1: Hair is a fiber that is found only in mammals. Fact 2: Hair is largely made of keratin, a protein that contains a lot of the amino acid cystine . Combined: mammals contain keratin
qasc
Answer the following multiple choice question by selecting the correct option. Question: What is the relationship between the Hamiltonians and eigenstates in supersymmetric quantum mechanics? A: For every eigenstate of one Hamiltonian, its partner Hamiltonian has a corresponding eigenstate with the same energy. B: For every eigenstate of one Hamiltonian, its partner Hamiltonian has a corresponding eigenstate with a higher energy. C: For every eigenstate of one Hamiltonian, its partner Hamiltonian has a corresponding eigenstate with a different spin. D: For every eigenstate of one Hamiltonian, its partner Hamiltonian has a corresponding eigenstate with a different energy. Answer:
Answer the following multiple choice question by selecting the correct option. Question: What is the relationship between the Hamiltonians and eigenstates in supersymmetric quantum mechanics? A: For every eigenstate of one Hamiltonian, its partner Hamiltonian has a corresponding eigenstate with the same energy. B: For every eigenstate of one Hamiltonian, its partner Hamiltonian has a corresponding eigenstate with a higher energy. C: For every eigenstate of one Hamiltonian, its partner Hamiltonian has a corresponding eigenstate with a different spin. D: For every eigenstate of one Hamiltonian, its partner Hamiltonian has a corresponding eigenstate with a different energy. Answer:
What is the relationship between the Hamiltonians and eigenstates in supersymmetric quantum mechanics?
For every eigenstate of one Hamiltonian, its partner Hamiltonian has a corresponding eigenstate with the same energy.
For every eigenstate of one Hamiltonian, its partner Hamiltonian has a corresponding eigenstate with a higher energy.
For every eigenstate of one Hamiltonian, its partner Hamiltonian has a corresponding eigenstate with a different spin.
For every eigenstate of one Hamiltonian, its partner Hamiltonian has a corresponding eigenstate with a different energy.
A
null
llm_science
Answer the following multiple choice question by selecting the correct option. Question: The two lines y=x and x=-9 intersect on the coordinate plane. What is the value of the area of the figure formed by the intersecting lines and the x-axis? A: 32.5 B: 36.5 C: 40.5 D: 44.5 Answer:
Answer the following multiple choice question by selecting the correct option. Context: The point of intersection is (-9,-9). The triangle has a base of length 9 and a height of 9. area = (1/2)*base*height = (1/2)*9*9 = 40.5 The answer is C. Question: The two lines y=x and x=-9 intersect on the coordinate plane. What is the value of the area of the figure formed by the intersecting lines and the x-axis? A: 32.5 B: 36.5 C: 40.5 D: 44.5 Answer:
The two lines y=x and x=-9 intersect on the coordinate plane. What is the value of the area of the figure formed by the intersecting lines and the x-axis?
32.5
36.5
40.5
44.5
C
The point of intersection is (-9,-9). The triangle has a base of length 9 and a height of 9. area = (1/2)*base*height = (1/2)*9*9 = 40.5 The answer is C.
aqua_rat
Answer the following multiple choice question by selecting the correct option. Question: One renewable fuel source is A: vegetable oil B: coal C: fossil fuel D: petroleum fuel Answer:
Answer the following multiple choice question by selecting the correct option. Context: alternative fuel is usually a renewable resource Question: One renewable fuel source is A: vegetable oil B: coal C: fossil fuel D: petroleum fuel Answer:
One renewable fuel source is
vegetable oil
coal
fossil fuel
petroleum fuel
A
alternative fuel is usually a renewable resource
openbookqa
Answer the following multiple choice question by selecting the correct option. Question: What is the term for an antibody that inappropriately marks self-components as foreign? A: rogue antibody B: autoantibody C: autoimmune antibody D: compromised antibody Answer:
Answer the following multiple choice question by selecting the correct option. Context: Try your hand at diagnosing an allergic reaction by selecting one of the interactive case studies (http://openstaxcollege. org/l/world_allergy) at the World Allergy Organization website. Autoimmunity Autoimmunity is a type of hypersensitivity to self-antigens that affects approximately five percent of the population. Most types of autoimmunity involve the humoral immune response. An antibody that inappropriately marks self-components as foreign is termed an autoantibody. In patients with myasthenia gravis, an autoimmune disease, muscle-cell receptors that induce contraction in response to acetylcholine are targeted by antibodies. The result is muscle weakness that may include. Question: What is the term for an antibody that inappropriately marks self-components as foreign? A: rogue antibody B: autoantibody C: autoimmune antibody D: compromised antibody Answer:
What is the term for an antibody that inappropriately marks self-components as foreign?
rogue antibody
autoantibody
autoimmune antibody
compromised antibody
B
Try your hand at diagnosing an allergic reaction by selecting one of the interactive case studies (http://openstaxcollege. org/l/world_allergy) at the World Allergy Organization website. Autoimmunity Autoimmunity is a type of hypersensitivity to self-antigens that affects approximately five percent of the population. Most types of autoimmunity involve the humoral immune response. An antibody that inappropriately marks self-components as foreign is termed an autoantibody. In patients with myasthenia gravis, an autoimmune disease, muscle-cell receptors that induce contraction in response to acetylcholine are targeted by antibodies. The result is muscle weakness that may include.
sciq