text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
Which process causes rocks at the earth's surface to change form?
Answer choice: (A) weathering (B) bleaching (C) remodeling (D) eroding<|im_end|>
<|im_start|>assistant
<think>
</think>
Weathering changes solid rock into sediments. Sediments are different sizes of rock particles. Boulders are sedimen... | 3,682 |
<|im_start|>user
A jar has 500 marbles. 46% are dark colors, and the remainder light colors. Green, blue, and purple marbles are considered dark colors, and yellow, orange, and red are considered light colors. Green and blue make up 60% of the dark marbles, and there are half as many red marbles as there are purple mar... | 76,700 |
<|im_start|>user
Five gallons of a solution of vinegar and water with 8% vinegar is to be diluted with water to make a 4% vinegar mixture. How many gallons of water should be added?
Answer Choices: (A) 10 (B) 5 (C) 4 (D) 2 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
In these types of mixture questions, if ... | 12,094 |
<|im_start|>user
A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
Answer Choices: (A) 20:64:49 (B) 49:20:64 (C) 64:20:49 (D) 64:49:20 (E) 20:49:64<|im_end|>
<|im_start|>assistant
<think>
</t... | 85,128 |
<|im_start|>user
A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Answer Choices: (A) months (B) months (C) months (D) months (E) months<|im_end|>
<|im_start|>assistant
<think>
</think>
7 * 8 : ... | 14,864 |
<|im_start|>user
A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Answer Choices: (A) 18 sec (B) 28 sec (C) 48 sec (D) 29 sec (E) 24 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 540 + 180 = 720
S = 54 * 5/18 = 15 mps
T = 720/15 = 48 sec... | 62,771 |
<|im_start|>user
P software has coding line 5% more than N, N software has coding line 1/2 more than M. M software has 100 lines of coding. find P lines.
Answer Choices: (A) 106 (B) 107 (C) 108 (D) 109 (E) 158<|im_end|>
<|im_start|>assistant
<think>
</think>
M s/w has 100 line of code
N s/w has = 100+100*1/2= 150 lin... | 13,108 |
<|im_start|>user
What illnesses are caused by damage to the alveoli of the lungs?
Answer choice: (A) avian and emphysema (B) chronic and emphysema (C) pneumonia and emphysema (D) smoking and emphysema<|im_end|>
<|im_start|>assistant
<think>
</think>
Pneumonia and emphysema are caused by damage to the alveoli of the l... | 3,522 |
<|im_start|>user
A person starts walking at a speed of 5km/hr through half the distance, rest of the distance he
covers with aspeed 4km/hr. Total time of travel is 9 hours. What is the maximum distance he
can cover?
Answer Choices: (A) 20km (B) 40km (C) 60km (D) 80km (E) 90km<|im_end|>
<|im_start|>assistant
<think>
</... | 8,307 |
<|im_start|>user
A small beaker is 1/2 filled with salt water. Another beaker, which has five times the capacity of the small beaker, is 1/3 filled with fresh water. After dumping all of the salt water from the small beaker into the large beaker, to what fraction of its capacity will the large beaker be filled?
Answer ... | 24,737 |
<|im_start|>user
Each factor of 150 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 15?
Answer Choices: (A) 1/16 (B) 5/42 (C) 1/8 (D) 3/16 (E) 1/3<|im_end|>
<|im_start|>assi... | 35,822 |
<|im_start|>user
On a certain number line, conditions are x<y<z<u<v and xyzuv>0. Which of the following must be true?
I xy>0 II zu>0 III zu>0
Answer Choices: (A) I only (B) I & II only (C) III only (D) II only (E) II and III only<|im_end|>
<|im_start|>assistant
<think>
</think>
Givenx<y<z<u<v and xyzuv>0.
Suppose, fo... | 51,550 |
<|im_start|>user
What will be the fraction of 10%
Answer Choices: (A) 1/10 (B) 1/50 (C) 1/75 (D) 1/25 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
10*1/100 = 1/10
Option A
The answer is A<|endoftext|> | 44,948 |
<|im_start|>user
How many trailing Zeroes does 53! + 54! have?
Answer Choices: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
53! + 54! = 53! + 54 * 53!
= 53! (1 + 54)
= 53! * 55
Number of trailing 0s in 53! = number of 5s in the expansion of 53!
= 10 + 2 = 12
There is 1 more... | 12,901 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Informal writing is typically used in casual situations or when communicating with someone you know well. Informal language often expresses familiarity and tends to sound more like speech. It uses more conversational languag... | 6,225 |
<|im_start|>user
Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 5 percent and the mobile phone at a profit of 10 percent. Overall he make a.
Answer Choices: (A) 50 (B) 288 (C) 27 (D) 200 (E) 881<|im_end|>
<|im_start|>assistant
<think>
</t... | 21,767 |
<|im_start|>user
A room contains 160 people, 15 percent of whom are women. A group of people, 30 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room?
Answer Choices: (A) 10 (B) 20 (C) 40 (D) 60 (E) 80<|im_end|>
<|im_start|>assistant
<think... | 74,571 |
<|im_start|>user
Let Raj be 3 years older than Ravi and Hema be two years younger than Ravi. Raj is three times as old as Rahul
who is Hema’s brother. The ratio of the ages of Hema and Her brother is 3:2. Find by how much percentage Raj’s age
is more than Hema’s when Raj will be 20 years old.
Answer Choices: (A) 33.33 ... | 18,004 |
<|im_start|>user
If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?
Answer Choices: (A) 30 (B) 33 1/3 (C) 35 (D) 25 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
100---150
150----50
100-----? ==>33 1/3
The... | 33,933 |
<|im_start|>user
How much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 15 inches than that of a rectangular sheet of paper measuring 7.5 inches by 11 inches?
Answer Choices: (A) 50% (B) 87% (C) 100% (D) 187% (E) 200%<|im_end|>
<|im_start|>ass... | 77,711 |
<|im_start|>user
A and B are two partially filled buckets of water. If 3 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 3 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of wate... | 61,933 |
<|im_start|>user
If a < b < c , which of the following must be true?
(I) a > b^2
(II) b − a < c
(III) a^2 < b^2 < c^2
Answer Choices: (A) I only (B) None (C) II only (D) III only (E) II and III<|im_end|>
<|im_start|>assistant
<think>
</think>
(I) a < b^2. Not necessarily true fractions: try a=1 and b=2.
(II) b − a < ... | 18,428 |
<|im_start|>user
The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is?
Answer Choices: (A) 4 (B) 6 (C) 1 (D) 7 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
(10x + y) – (10y + x) = 54
x – y = 6
The answer is B<|endoftext|> | 81,645 |
<|im_start|>user
There are 6 working days in a regular week and for each day, the working hours are 10. A man earns Rs. 2.10 per hour for regular work and Rs. 4.20 per hour for overtime. If he earns Rs.525 in 4 weeks, how many hours did he work?
Answer Choices: (A) 245 (B) 285 (C) 275 (D) 255 (E) 265<|im_end|>
<|im_sta... | 28,090 |
<|im_start|>user
In a mixture of 45 litres the ratio of milk to water is 4:1. Additional 12 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture.
Answer Choices: (A) 12/7 (B) 4/1 (C) 2/3 (D) 3/4 (E) 3/2<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that Milk/Water... | 71,213 |
<|im_start|>user
When tossed, a certain coin has an equal probability of landing on either side. If the coin is tossed 5 times, what is the probability that it will land on the same side each time?
Answer Choices: (A) 1/6 (B) 1/8 (C) 1/12 (D) 1/16 (E) 1/32<|im_end|>
<|im_start|>assistant
<think>
</think>
On the first... | 53,151 |
<|im_start|>user
An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 20-meter platform and caught it after it had traveled 59.4 meters. How many times did the ball bounce?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) ... | 90,400 |
<|im_start|>user
If 5 men undertook a piece of construction work and finished half the job in 15 days. If two men drop out, then the job will be completed in
Answer Choices: (A) 5 days (B) 15days (C) 10 days (D) 25days (E) 20days<|im_end|>
<|im_start|>assistant
<think>
</think>
That is, half the work done = 5 * 15 * ... | 32,938 |
<|im_start|>user
A property decreases in value every year at the rate of 6 1/4% of its value at the beginning of the year its value at the end of 3 years was Rs.21093. Find its value at the beginning of the first year?
Answer Choices: (A) 25600.24 (B) 25600.28 (C) 25600.243 (D) 25600.21 (E) 25600.23<|im_end|>
<|im_star... | 69,636 |
<|im_start|>user
A train 210 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Answer Choices: (A) 40 sec (B) 50 sec (C) 44 sec (D) 49 sec (E) 28 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 210 + 140 = 350 m
Requir... | 85,067 |
<|im_start|>user
What property is defined as the magnitude or size of displacement between two positions?
Answer choice: (A) gravity (B) distance (C) Distance (D) passing<|im_end|>
<|im_start|>assistant
<think>
</think>
Distance Although displacement is described in terms of direction, distance is not. Distance is de... | 7,174 |
<|im_start|>user
Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/4 of the spending limit on t... | 8,157 |
<|im_start|>user
n^(n/2)=8 is true when n=8 in the same way what is the value of n if n^(n/2) =20?
Answer Choices: (A) 8 (B) 14 (C) 10 (D) 20 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
n^(n/2)=20
Apply log
N/2logn=log20
nlogn=2log20=log20^2=log400
Logn=log400
Now apply antilog
n=400/n
Now n=20.
The answe... | 75,018 |
<|im_start|>user
Of the 100 athletes at a soccer club, 40 play defense and 62 play midfield. If at least 20 of the athletes play neither midfield nor defense, the number of athletes that play both midfield and defense could be any number between
Answer Choices: (A) 10 to 20 (B) 10 to 40 (C) 22 to 40 (D) 30 to 70 (E) 40... | 66,019 |
<|im_start|>user
What do you call the temperature at which a liquid boils and starts changing to a gas?
Answer choice: (A) melting point (B) transformation point (C) boiling point (D) vapor point<|im_end|>
<|im_start|>assistant
<think>
</think>
The temperature at which a liquid boils and starts changing to a gas is c... | 8,172 |
<|im_start|>user
If 20 percent of the students at a certain school went to a camping trip and took more than $100, and 75 percent of the students who went to the camping trip did not take more than $100, what percentage of the students at the school went to the camping trip?
Answer Choices: (A) 95 (B) 90 (C) 85 (D) 80 ... | 67,772 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An allusion is a brief mention of something or someone well known, often from mythology, history, or literature. An allusion lets you reference ideas from an entire story in just a few words.
The protean nature of the diseas... | 5,623 |
<|im_start|>user
Tough and Tricky questions: Word Problems.
In a rare coin collection, one in six coins is gold, and all coins are either gold or silver. If 10 silver coins were to be subsequently traded for an additional 10 gold coins, the ratio of gold coins to silver coins would be 1 to 6. Based on this information,... | 46,469 |
<|im_start|>user
A batsman makes a score of 87 runs in the 17th inning and thus increases his avg by 3. Find his average after 17th inning.
Answer Choices: (A) 24 (B) 52 (C) 39 (D) 36 (E) 85<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol. Let the average after 17th inning = x.
Then, average after 16th inning = ... | 25,047 |
<|im_start|>user
What do you call any substance that opposes coagulation?
Answer choice: (A) dissolvent (B) anticoagulant (C) antibodies (D) toxin<|im_end|>
<|im_start|>assistant
<think>
</think>
Plasma Anticoagulants An anticoagulant is any substance that opposes coagulation. Several circulating plasma anticoagulant... | 5,189 |
<|im_start|>user
A can do a piece of work in 16 days and B can do it in 15 days and C can do it 20 days. They started the work together and A leaves after 2 days and B leaves after 4 days from the beginning. How long will work lost?
Answer Choices: (A) 10 2/5 (B) 10 2/0 (C) 12 1/6 (D) 10 2/1 (E) 12 2/3<|im_end|>
<|im_s... | 52,968 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Some animals have a backbone. The backbone is made of many bones in an animal's back. An animal's backbone helps connect the different parts of its body. In the drawings below, each animal's backbone is colored orange.
Other... | 2,198 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Many people around the world celebrate the new year on January 1. But many other people celebrate the new year on different days. Why?
Answer Choices: (A) They want to celebrate during summer. (B) They think cele... | 1,162 |
<|im_start|>user
A trader marked the price of a car 20% above the cost price and allowed the purchaser 5% discount on the marked price there by gained $8400. Find the cost price of the Bike?
Answer Choices: (A) 70000 (B) 60500 (C) 85000 (D) 60000 (E) 55000<|im_end|>
<|im_start|>assistant
<think>
</think>
D
$60000
The... | 81,641 |
<|im_start|>user
What was the first mass extinction that occurred on earth?
Answer choice: (A) late Devonian mass extinction (B) paleozoic mass extinction (C) precambrian mass extinction (D) proterozoic mass extinction<|im_end|>
<|im_start|>assistant
<think>
</think>
At the end of the Precambrian, a mass extinction o... | 2,273 |
<|im_start|>user
The present worth of a bill due sometime hence is Rs. 1100 and the true discount on the bill is Rs.110.Find the banker's discount and the banker’s gain?
Answer Choices: (A) Rs.111 (B) Rs.120 (C) Rs.121 (D) Rs.125 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
T.D = √P.W x B.G
B.G ... | 46,832 |
<|im_start|>user
Let B represent a set of four distinct prime numbers. If the sum of the numbers in B is even and x is a member of B, then what is the least possible value that x can be?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 5 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
We are told that B is a set of four ... | 90,772 |
<|im_start|>user
Two trains are running in opposite directions with the same speed. If the length of each train is 240 m and they cross each other in 12 sec, then the speed of each train is?
Answer Choices: (A) 72 (B) 89 (C) 36 (D) 34 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the speed of each train... | 14,565 |
<|im_start|>user
If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 5:6then find the smallest number?
Answer Choices: (A) 22/3 (B) 19/3 (C) 20/3 (D) 25/3 (E) 24/3<|im_end|>
<|im_start|>assistant
<think>
</think>
2:3
2x + 10 : 3x + 10 = 5 : 6
6[2x + 10] = 5[3x + 10]
12x +... | 66,261 |
<|im_start|>user
The difference between the simple interest received from two different sources on 1500 for 3 years is 13.50. The difference between their rates of interest is:
Answer Choices: (A) 0.1% (B) 0.2% (C) 0.3% (D) 0.4% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
(1500×R1×3/100)−(1500×... | 33,015 |
<|im_start|>user
Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, Annie is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week Annie worked a total of 56 hours. If Harr... | 28,419 |
<|im_start|>user
A box contains 20 machine parts, 5 of them being standard. A worker takes out 3 parts at random. Find the probability that at least 1 of 3 turns out to be standard.
Answer Choices: (A) 137/228 (B) 13/228 (C) 91/228 (D) 41/228 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanat... | 71,845 |
<|im_start|>user
A car traveled 75% of the way from Town A to Town B at an average speed of 75 mph. The car traveled at an average speed of v mph for the remaining part of the trip. The average speed for the entire trip was 50 mph. What is v in mph?
Answer Choices: (A) 30 (B) 35 (C) 25 (D) 40 (E) 45<|im_end|>
<|im_star... | 3,015 |
<|im_start|>user
The number 0.5 is how much greater than 1/6 ?
Answer Choices: (A) 1/3 (B) 2/10 (C) 1/50 (D) 1/500 (E) 2/500<|im_end|>
<|im_start|>assistant
<think>
</think>
let x be the difference
then
.5-1/3=x
5/10-1/3=x
x=1/3
The answer is A<|endoftext|> | 29,394 |
<|im_start|>user
A machine fills 150 bottles of water every 8 minutes. How many minutes it takes this machine to fill 675 bottles?
Answer Choices: (A) 12 min (B) 34 min (C) 32 min (D) 45 min (E) 29 min<|im_end|>
<|im_start|>assistant
<think>
</think>
8 minutes are needed to fill 150 bottles. How many groups of 150 bo... | 48,700 |
<|im_start|>user
2/5 of the fish in an aquarium are red and 1/4 of the fish are brown. 1/2 of the red fish and 1/5 of the brown fish are male. If the rest of the fish in the aquarium are female, what is the probability that a fish randomly picked from the aquarium is male?
Answer Choices: (A) 3/20 (B) 7/30 (C) 5/16 (D)... | 73,122 |
<|im_start|>user
A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for $75 less, he could have gained 25%. What is the cost price?
Answer Choices: (A) 220 (B) 274 (C) 250 (D) 280 (E) 222<|im_end|>
<|im_start|>assistant
<think>
</think>
C
250
$250
CP1 = 100 SP1 = 90
... | 57,602 |
<|im_start|>user
When m is divided by 9, the remainder is 2. When m is divided by 13, the remainder is 6. If 1 < m < 300, what is the greatest possible value of m?
Answer Choices: (A) 157 (B) 177 (C) 197 (D) 227 (E) 257<|im_end|>
<|im_start|>assistant
<think>
</think>
13*9 = 117
Let's start with 6, and keep adding 13... | 62,925 |
<|im_start|>user
A number when divided successively in order by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is:
Answer Choices: (A) 214 (B) 476 (C) 954 (D) 1908 (E) 1910<|im_end|>
<|im_start|>assistant
<think>
</think>
Z= 6*1 +4= 10.
Y= 5z+3= 53
X= 4y+2= 214.
The answer is A<|endoftext|> | 18,225 |
<|im_start|>user
5292 can be expressed as a product of primes as
Answer Choices: (A) 2 × 2 × 3 × 3 × 7 × 7 (B) 2 × 3 × 3 × 3 × 7 × 7 (C) 2 × 2 × 2 × 3 × 3 × 7 (D) 2 × 3 × 3 × 3 × 3 × 7 (E) 2 x 2 x 3 x 3 x 3 x 7 x 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
It is clear that 5292 = 2 x 2 x 3 x 3 x 3... | 8,870 |
<|im_start|>user
Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Child A has to sit next to both BG, with these two children immediately adjacent to here on either side. The other four children can sit in any order in any of the remaining seats. How many possible configurations Q a... | 51,700 |
<|im_start|>user
What is the length of a bridge (in meters), which a train 156 meters long and travelling at 45 km/h can cross in 40 seconds?
Answer Choices: (A) 308 (B) 320 (C) 332 (D) 344 (E) 356<|im_end|>
<|im_start|>assistant
<think>
</think>
speed = 45 km/h = 45000 m / 3600 s = 25/2 m/s
In 40 seconds, the train ... | 61,518 |
<|im_start|>user
A invested Rs. 76,000 in a business. After few months, B joined him Rs. 57,000. At the end of the year, the total profit was divided between them in ratio 2 : 1. After bow many months did B join?
Answer Choices: (A) 4 (B) 3 (C) 2 (D) 1 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 19,428 |
<|im_start|>user
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12600 after a year?
Answer Choices: (A) 3630 (B) 2881 (C) 2887 (D) 9977 (E) 3780<|im_end|>
<|im_start|>assistant
<think>
</think>
6300:4200:10500
3:2:5
3/10 * 12600 = 3780.
T... | 18,096 |
<|im_start|>user
What is the only known planet with large amounts of water?
Answer choice: (A) saturn (B) jupiter (C) earth (D) mars<|im_end|>
<|im_start|>assistant
<think>
</think>
Earth is the third planet from the Sun. It is the only planet with large amounts of liquid water, and the only planet known to support l... | 1,132 |
<|im_start|>user
The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.14000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is
Answer Choices: (A) 20 (B) 21 (C) 22 (D) 23 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</thi... | 34,473 |
<|im_start|>user
Special codes are designated by either a 6-letter or a 7-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different codes that can be designated with this system?
Answer Choices: (A) 2 (26) ^7 (B) 26(26) ^6 (C) 27(26) ^6 (D) 26(26) ... | 59,254 |
<|im_start|>user
What is the transition from liquid to gas is called?
Answer choice: (A) freezing (B) boiling (C) condensing (D) melting<|im_end|>
<|im_start|>assistant
<think>
</think>
The liquid to gas transition is called boiling.
The answer is B<|endoftext|> | 9,902 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Rhyming words are words that end with the same sound.
The words tip and slip rhyme. They both end with the same sound.
The words meet and treat also rhyme. They both end with the same sound, even though the sound has two dif... | 5,365 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A clause is a group of words that contains both a subject and a predicate.
An independent clause is a complete thought. It can stand alone as a sentence. A dependent clause is not a complete thought. It cannot stand alone as... | 3,787 |
<|im_start|>user
What do you call the type of molecular signals that include insulin and that help regulate a number of biochemical processes?
Answer choice: (A) hormones (B) nerves (C) acids (D) enzymes<|im_end|>
<|im_start|>assistant
<think>
</think>
Hormones – Hormones are molecular signals that help regulate a nu... | 2,224 |
<|im_start|>user
A marketing manager is able to manage an average of Rs240 per week during 40h week . But in the final week of the month, his rates are increased by 50%. Then find out the commission the marketing manager makes in that week, if he puts in 60h during that final week?
Answer Choices: (A) 500 (B) 540 (C) 5... | 89,724 |
<|im_start|>user
The largest natural number which exactly divides the product of any four consecutive natural numbers is:
Answer Choices: (A) 65 (B) 12 (C) 24 (D) 120 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Required number
= 1*2*3*4
=24
The answer is C<|endoftext|> | 66,413 |
<|im_start|>user
A used car dealer sold one car at a profit of 25 percent of the dealers purchase price for that car and sold another car at a loss of 20 percent of the dealers purchase price for that car. If the dealer sold each car for $20,000 , what was the dealers total profit or loss, in dollars, for the two trans... | 8,352 |
<|im_start|>user
What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?
Answer Choices: (A) 20 (B) 23 (C) 25 (D) 27 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
(1056 / 23) gives remainder 21
21 + 2 = 23, So we need to add 2
B
The answer is B<|endoftext|> | 86,246 |
<|im_start|>user
A cube has a volume of 64 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
Answer Choices: (A) 24 (B) 48 (C) 64 (D) 80 (E) 512<|im_end|>
<|im_start|>assistant
<think>
</think>
Volume = 64 = side^3
i.e. Side of Cube = 4
N... | 17,354 |
<|im_start|>user
The function f is defined for all the positive integers h by the following rule: f(h) is the number of positive integers each of which is less than h and has no positive factor in common with h other than 1 . if p is a prime number then f(p)?
Answer Choices: (A) p-1 (B) p-2 (C) (p+1) /2 (D) (p-1) /2 (E... | 3,940 |
<|im_start|>user
Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as... | 80,255 |
<|im_start|>user
What is the term for force that opposes motion between any touching surfaces?
Answer choice: (A) gravity (B) friction (C) stress (D) tension<|im_end|>
<|im_start|>assistant
<think>
</think>
All machines make work easier, but they don’t increase the amount of work that is done. You can never get more ... | 5,737 |
<|im_start|>user
Asthma, pneumonia, and emphysema are diseases of what system?
Answer choice: (A) reproductive (B) pulmonary (C) respiratory (D) digestive<|im_end|>
<|im_start|>assistant
<think>
</think>
Diseases of the respiratory system include asthma, pneumonia, and emphysema.
The answer is C<|endoftext|> | 7,429 |
<|im_start|>user
The side of a square is increased by 25% then how much % does its area increases?
Answer Choices: (A) 56.28 (B) 56.25 (C) 56.2 (D) 56.24 (E) 56.21<|im_end|>
<|im_start|>assistant
<think>
</think>
a = 100 a2 = 10000
a = 125 a2 = 15625
----------------
10000 --------- 5625
100 -------? => 56.25 %
The a... | 88,664 |
<|im_start|>user
A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
Answer Choices: (A) 176 (B) 289 (C) 887 (D) 278 (E) 179<|im_end|>
<|im_start|>assistant
<think>
</think>
25 = E/(1000 - E) * 100
1000 - E = 4E
1000 = 5E => E = 200
1000 - 200... | 2,984 |
<|im_start|>user
A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price w of the machine?
Answer Choices: (A) 81 (B) 100 (C) 120 (D) 135 (E) 160<|im_end|>
<|i... | 52,187 |
<|im_start|>user
Compounds with metals and nonmetals sharing electrons are known as what kinds of compounds?
Answer choice: (A) acids (B) atoms (C) ions (D) eons<|im_end|>
<|im_start|>assistant
<think>
</think>
The Formation of Ionic Compounds Binary ionic compounds are composed of just two elements: a metal (which f... | 7,008 |
<|im_start|>user
Eutrophication, or high levels of nutrients, can cause conditions that deprive fish of what vital gas?
Answer choice: (A) oxygen (B) dioxide (C) hydrogen (D) nitrogen<|im_end|>
<|im_start|>assistant
<think>
</think>
High levels of nutrients, called eutrophication, can cause conditions that deprive fi... | 5,853 |
<|im_start|>user
If x is a positive integer, which of the following must be odd?
Answer Choices: (A) x+1 (B) x^2+x (C) x^2+x+5 (D) x^2−1 (E) 3x^2−3<|im_end|>
<|im_start|>assistant
<think>
</think>
A. X+1 = can be odd or even. Since O + O =E or E + O = O
B. X^2 + X = X(X+1). Since from the above derivation we already ... | 39,675 |
<|im_start|>user
A man buys 100 lts of liquid which contains 25% of the liquid and the rest is water. He then mixes it with 90 lts of another mixture with 30% of liquid. What is the % of water in the new mixture?
Answer Choices: (A) 81 (B) 75 (C) 72.63 (D) 73 (E) 76<|im_end|>
<|im_start|>assistant
<think>
</think>
25... | 81,761 |
<|im_start|>user
According to the 2001 census,the population growth rate of Lucknow is going to be an increasing AP with first year's rate as 5% and common difference as 5% but simultaneously the migration,rate is an increasing GP with first term as 1% and common ratio of 2.If the population on 31 december 2000 is 1 mi... | 14,814 |
<|im_start|>user
Divide $ 1162 among A, B, C in the ratio 35 : 28 : 20.
Answer Choices: (A) 490,490,490 (B) 360,392,460 (C) 490,382,280 (D) 260,160,60 (E) 492,390,280<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of ratio terms = (35 + 28 + 20) = 83.
A's share = $ (1162 x (35/83))= $ 490; B's share = $ (1162 x... | 4,435 |
<|im_start|>user
What is the greatest prime factor of 4^15 - 2^28?
Answer Choices: (A) 2 (B) 3 (C) 5 (D) 7 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
I'm happy to help with this.
We know 4 = 2^2, so 4^15 = (2^2)^15 = 2^(2*15) = 2^30
That takes advantage of a law of exponents that says (a^n)^m = a^(n*m)
S... | 14,503 |
<|im_start|>user
A businessman earns $27800 in December, thus decreasing his average annual (January to December) earnings by $1200. His average annual earnings would be
Answer Choices: (A) $29000 (B) $33500 (C) $40200 (D) $41000 (E) $42300<|im_end|>
<|im_start|>assistant
<think>
</think>
(x - 27,800)/11 - x/12 = 1,2... | 82,796 |
<|im_start|>user
5 women can do a work in two days. 10 men can complete the same work in five days. What is the ratio between the capacity of a man and a woman?
Answer Choices: (A) 1:2 (B) 1:5 (C) 2:3 (D) 3:2 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(5 × 2) women can complete t... | 1,685 |
<|im_start|>user
A couple who own an appliance store discover that if they advertise a sales discount of 10% on every item in the store, at the end of one month the number of total items sold increases 10%. Their gross income from sales for one month decreases by what percent?
Answer Choices: (A) 1% (B) 3% (C) 5% (D) 7... | 35,754 |
<|im_start|>user
Carol is six times Alice’s age but only twice as old as Betty. Alice is sixty years younger than Carol. How old is Betty?
Answer Choices: (A) 46 (B) 39 (C) 42 (D) 48 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
Beyond the obvious Algebra approach to this question, it can also be solved by ... | 79,224 |
<|im_start|>user
If f(f(n)) + f(n) = 2n+3, f(0) = 1 then f(2015) = ?
Answer Choices: (A) 2016 (B) 2088 (C) 270 (D) 1881 (E) 1781<|im_end|>
<|im_start|>assistant
<think>
</think>
f (f(0)) + f(0) = 2(0) + 3 ⇒⇒ f(1) = 3-1 = 2, f(1) = 2
f(f(1)) + f(1) = 2(1) + 3 ⇒⇒ f(2) = 5-2 = 3, f(2) = 3
f(f(2)) + f(2) = 2(2) + 3 ⇒⇒ f(... | 76,315 |
<|im_start|>user
A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 12:8:7, respectively, by weight. If 54 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?
Answer Choices: (A) 15 (B) 10 (C) 9 (D) 6 (E) 4<|im_end|>
<|im_start|>assistant
<think>
... | 91,207 |
<|im_start|>user
In the given series find the number which is wrong.
215,28,63,126,7,343
Answer Choices: (A) 215 (B) 28 (C) 126 (D) 343 (E) 625<|im_end|>
<|im_start|>assistant
<think>
</think>
215=6*6*6-1
28=3*3*3+1
63=4*4*4-1
126=5*5*5+1
7=2*2*2-1
343 should be 7*7*7+1= 344 but it is 343
The answer is D<|endoftext|> | 73,968 |
<|im_start|>user
A pizzeria in Castroville creates its own special blend of shredded cheese at a cost of $696.05 per kilogram. The blend includes Mozzarella, at $504.35 per kilogram, and Romano cheese, at $887.75 per kilogram. If the employees have already shredded 19 kilograms of Mozzarella cheese, how many kilograms ... | 96,521 |
<|im_start|>user
The compound and the simple interests on a certain sum at the same rate of interest for two years are Rs.11730 and Rs.10200 respectively. Find the sum?
Answer Choices: (A) Rs.17000 (B) Rs.17020 (C) Rs.17009 (D) Rs.17029 (E) Rs.17031<|im_end|>
<|im_start|>assistant
<think>
</think>
The simple interest... | 59,497 |
<|im_start|>user
x - y =2
2x = 2y + 4
The system of equations above has how many solutions?
Answer Choices: (A) None (B) Exactly one (C) Exactly two (D) Infinitely many (E) Exactly three<|im_end|>
<|im_start|>assistant
<think>
</think>
x-y=2 ---------------1
2x=2y+4 ---------------2
Divide equation 2 by 2:
2x/2=... | 33,787 |
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