text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Answer Choices: (A) Rs.2000 (B) Rs.1980 (C) Rs.1891 (D) Rs.1750 (E) Rs.1600<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(10*10)/100 = 1%los... | 43,611 |
<|im_start|>user
0.009/x=0.01. find the value of X
Answer Choices: (A) 0.0009 (B) 0.09 (C) 0.9 (D) 9 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
x=0.009/0.01=0.9
The answer is C<|endoftext|> | 81,513 |
<|im_start|>user
A man deposits $2000 in a bank at 4% per annum and $ 3000 in UTI at 14% per annum. Find the rate of interest for the whole sum.
Answer Choices: (A) 15% (B) 18% (C) 11% (D) 17% (E) 10%<|im_end|>
<|im_start|>assistant
<think>
</think>
Following the above formula,we have the rate of interest for the who... | 59,925 |
<|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... | 3,189 |
<|im_start|>user
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
Answer Choices: (A) 12 kg (B) 60 kg (C) 72 kg (D) 80 kg (E) 96 kg<|im_end|>
<|im_start|>assistant
<think>
</think>
Volume of water displaced = (3 x 2 x 0.01) m3
= 0.... | 17,228 |
<|im_start|>user
A shopkeeper sells 500 metres of cloth for Rs. 15000 at a loss of Rs.10 per metre. Find his cost price for one metre of cloth?
Answer Choices: (A) s.40 (B) s.12 (C) s.96 (D) s.50 (E) s.13<|im_end|>
<|im_start|>assistant
<think>
</think>
SP per metre = 15000/500
= Rs. 30 Loss per metre
= Rs. 10 CP per... | 63,877 |
<|im_start|>user
A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
Answer Choices: (A) 100 m (B) 276 m (C) 186 m (D) 1... | 74,925 |
<|im_start|>user
The averge score of a cricketer for ten matches is 66 runs. If the average for the first six matches is 54. Then find the average for the last four matches?
Answer Choices: (A) 66 (B) 83.5 (C) 84 (D) 95 (E) 76<|im_end|>
<|im_start|>assistant
<think>
</think>
sum of last 4 matches = (10 × 66) – (6 × 5... | 97,359 |
<|im_start|>user
What is an ion that is in common to both salts in a solution?
Answer choice: (A) regular ion (B) common ion (C) strong ion (D) native ion<|im_end|>
<|im_start|>assistant
<think>
</think>
This situation describes the common ion effect. A common ion is an ion that is in common to both salts in a soluti... | 5,269 |
<|im_start|>user
Aishwarya’s mom was 38 years of age at the time of her birth, while her mom was 36 years old when her 4 years younger sister was born. The variance between the parents ages is :
Answer Choices: (A) 6 years (B) 11 years (C) 10years (D) 9 years (E) 4 years<|im_end|>
<|im_start|>assistant
<think>
</think... | 23,857 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A simple sentence is a sentence with only one subject and predicate.
The pitcher threw the ball to first base.
A compound sentence is two simple sentences joined by a comma and a conjunction such as and, but, or, or so.
The ... | 5,331 |
<|im_start|>user
Walking at 5/6 of its usual speed, a train is 10 minutes too late. What is usual time to cover the journey?
Answer Choices: (A) 70 minutes (B) 2 hours (C) 2/3 hours (D) 5/6 hours (E) 85 minutes<|im_end|>
<|im_start|>assistant
<think>
</think>
et Speed be S and Time to cover the journey be T
S * T = D... | 93,089 |
<|im_start|>user
The average age of twenty four boys in a class and the teacher is 15. If the teacher age is excluded, the average reduces to 14. What is the techer's age?
Answer Choices: (A) 41 (B) 36 (C) 32 (D) 39 (E) 38<|im_end|>
<|im_start|>assistant
<think>
</think>
25*15-24*14= 39
The answer is D<|endoftext|> | 91,052 |
<|im_start|>user
A person crosses a 1000 m long street in 10 minutes. What is his speed in km per hour?
Answer Choices: (A) 7.1 (B) 8.2 (C) 4.6 (D) 6.0 (E) 12.8<|im_end|>
<|im_start|>assistant
<think>
</think>
distance = 1000 meter
time = 10 minutes = 10 x 60 seconds = 600 seconds
Speed = distance/time=1000/600=1.67m... | 57,223 |
<|im_start|>user
The present worth of Rs. 242 due in 2 years at 10% per annum compound interest is:
Answer Choices: (A) Rs. 180 (B) Rs. 240 (C) Rs. 220 (D) Rs. 200 (E) Rs. 300<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Present worth of Rs. x due T years hence is given by
Present Worth (PW) = x/(1+R... | 16,754 |
<|im_start|>user
A dishonest dealer professes to sell goods at the cost price but uses a weight of 700 grams per kg, what is his percent?
Answer Choices: (A) 42.8% (B) 25% (C) 55% (D) 28% (E) 55%<|im_end|>
<|im_start|>assistant
<think>
</think>
700 --- 300
100 --- ? => 42.8%
The answer is A<|endoftext|> | 34,610 |
<|im_start|>user
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. What is the probability of having 3 man in committee ?
Answer Choices: (A) 10/36 (B) 11/72 (C) 12/72 (D) 28/36 (E) 36/90<|im_end|>
<|im_start|>assistant
<think>
</t... | 71,533 |
<|im_start|>user
The average weight of A, B and C is 46 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
Answer Choices: (A) 28 kg (B) 32 kg (C) 33 kg (D) 34 kg (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let A, B, C represent the... | 29,840 |
<|im_start|>user
Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 45 sec. The length of each train is?
Answer Choices: (A) 50 (B) 26 (C) 27 (D) 62.5 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of ea... | 36,765 |
<|im_start|>user
Some of the workers at a hedge fund are analysts; the others are not analysts. There are a total of 2x/3 analysts at the hedge fund. A total of x hedge fund workers have an MBA. Furthermore, x/3 analysts have an MBA, y/4 of the hedge fund workers are neither analysts nor have an MBA, and 80 workers are... | 44,596 |
<|im_start|>user
Some of the people in Town V are left-handed, some are tall, some are both, and some are neither. In Town Y, three times as many people are left-handed > as are left-handed in Town V, three times as many people are tall as are tall in Town V, three times as many people are both as are both in Town V, b... | 73,149 |
<|im_start|>user
A garrison of 300 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
Answer Choices: (A) 45 days (B) 55 days (C) 35 days (D) 25 days (E) 40 days<|im_end|>
<|im_start|>assistant
<think>
... | 21,847 |
<|im_start|>user
A coin is tossed live times. What is the probability that there is at the least one tail?
Answer Choices: (A) 31/32 (B) 31/37 (C) 31/67 (D) 31/17 (E) 31/31<|im_end|>
<|im_start|>assistant
<think>
</think>
Let P(T) be the probability of getting least one tail when the coin is tossed five times.
= Ther... | 92,558 |
<|im_start|>user
Two trains start simultaneously from opposite ends of a 140-km route and travel toward each other on parallel tracks. Train X, traveling at a constant rate, completes the 140-km trip in 4 hours. Train Y, travelling at a constant rate, completes the 140-km trip in 3 hours. How many kilometers had Train ... | 41,618 |
<|im_start|>user
In the manufacture of a certain product, 8 percent of the units produced are defective and 4 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale?
Answer Choices: (A) 0.125% (B) 0.32% (C) 0.8% (D) 1.25% (E) 2.0%<|im_end|>
... | 55,706 |
<|im_start|>user
The sum of how many terms of the series 6 + 12 + 18 + 24 + … is 1800
Answer Choices: (A) 16 (B) 22 (C) 24 (D) 18 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of terms be N.
Then, according to the formula,
=> 1800 = N/2[2A+(N-1)D] , where A = First-Term, D = Common-Difference... | 80,591 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
When writing, make sure to avoid vague pronoun references. A vague pronoun reference occurs when a pronoun could refer to more than one possible antecedent.
When Lisa and Kim finally landed, she breathed a sigh of relief.
Th... | 2,821 |
<|im_start|>user
The present age of a father is 3 years more than three times the age of his son.Three years hence,father as age will be 8 years more than twice the age of the son.Find the present age of the father.
Answer Choices: (A) 88 (B) 77 (C) 33 (D) 44 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
Ex... | 6,769 |
<|im_start|>user
Which of the following is a parallelogram?
Answer Choices: (A) 120,60,120,60(angle in deg) (B) 120,30,130,20(angle in deg) (C) 95,95,90,90(angle in deg) (D) a & c (E) none<|im_end|>
<|im_start|>assistant
<think>
</think>
sum of adjacent angles is 180 degrees.
The answer is A<|endoftext|> | 53,893 |
<|im_start|>user
What is the dividend. divisor 17, the quotient is 9 and the remainder is 5?
Answer Choices: (A) 150 (B) 54 (C) 158 (D) 160 (E) 180<|im_end|>
<|im_start|>assistant
<think>
</think>
D = d * Q + R
D = 17 * 9 + 5
D = 153 + 5
D = 158
C)
The answer is C<|endoftext|> | 7,474 |
<|im_start|>user
In how many different ways can the letters of the word ‘MODE’ be arranged?
Answer Choices: (A) 60 (B) 24 (C) 36 (D) 12 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
B
24
The word SMART has 4 distinct letters.
Number of arrangements = 4!
= 4 × 3 × 2 × 1 = 24
The answer is B<|endoftext|> | 47,550 |
<|im_start|>user
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:
Answer Choices: (A) 2 : 3 (B) 3 : 2 (C) 3 : 4 (D) 4 : 3 (E) 2 : 1<|im_end|>
<|... | 23,297 |
<|im_start|>user
A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Answer Choices: (A) 20% (B) 45% (C) 44% (D) 48% (E) 49%<|im_end|>
<|im_start|>assistant
<think>
</think>
g% = 20 + 20 + (20*20)/100
= 44%
... | 26,592 |
<|im_start|>user
Find the value of x from the below equation: x^2−7x+10=0
Answer Choices: (A) 5 (B) 7 (C) 6 (D) 11 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Here we need to find out a and b such that a + b = -7 and ab = +10
a = -5 and b = -2 satisfies the above condition.
Hence
x^2−7x+10=(x−5)(x−2)
x2−7... | 87,414 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Experiments can be designed to answer specific questions. When designing an experiment, you must identify the supplies that are necessary to answer your question. In order to do this, you need to figure out what will be test... | 4,381 |
<|im_start|>user
What is the thousandths digit in the decimal equivalent of 64/5000?
Answer Choices: (A) 2 (B) 1 (C) 3 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
64/5000 = 64 /(5*10^3)
= (64/5) *10^-3
=12.8 * 10^-3
=.0128
Thousandths digit = 2
The answer is A<|endoftext|> | 59,358 |
<|im_start|>user
A 300 m long train crosses a platform in 42 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Answer Choices: (A) 287 (B) 350 (C) 828 (D) 277 (E) 400<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 300/18 = 50/3 m/sec.
Let the length of the platform be x meter... | 68,713 |
<|im_start|>user
If 5 workers collect 48 kg of cotton in 4 days, how many kg of cotton will 9 workers collect in 2 days?
Answer Choices: (A) 47.6 kg (B) 52.6 kg (C) 59.6 kg (D) 56.6 kg (E) 57.6 kg<|im_end|>
<|im_start|>assistant
<think>
</think>
(3 * 5)/48 = (9 * 2)/ x
x = 57.6 kg
The answer is E<|endoftext|> | 65,782 |
<|im_start|>user
A can finish a work in 18 days and B can do the same work in 15 days. B
worked for 10 days and left the job. In how many days A alone can finish the
remaining work?
Answer Choices: (A) 6days (B) 5days (C) 4days (D) 3days (E) 2days<|im_end|>
<|im_start|>assistant
<think>
</think>
B's 10 day's work=10/... | 43,433 |
<|im_start|>user
Mr Yadav spends 60% of his monthly salary on consumable items and 50% of the remaining on clothes and transport. He saves the remaining amount. If his savings at the end of the year were 19008, how much amount per month would he have spent on clothes and transport?
Answer Choices: (A) 4038 (B) 8076 (C)... | 7,393 |
<|im_start|>user
In how many ways can a committee consisting of 4 men and 5 women be formed from a group of 9 men and 9 women?
Answer Choices: (A) 9C4 9C5 (B) 4C9 5C9 (C) 7C5 9C4 (D) 9C4 7C5 (E) NONE<|im_end|>
<|im_start|>assistant
<think>
</think>
Group consisting of 9 men and 9 women
4 men can be selected from 9 me... | 90,370 |
<|im_start|>user
Dawson earns $100 a week from his job. His income increased and now makes $110 a week. What is the percent increase?
Answer Choices: (A) 5% (B) 10% (C) 15% (D) 20% (E) 25%<|im_end|>
<|im_start|>assistant
<think>
</think>
Increase = (10/100)*100 = (1/10)*100 = 10%.
B
The answer is B<|endoftext|> | 62,910 |
<|im_start|>user
If (t-8) is a factor of t^2-kt-46, then k=
Answer Choices: (A) 16 (B) 12 (C) 2 (D) 6 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
t^2-kt-48 = (t-8)(t+m) where m is any positive integer.
if 48/8 = 6, then we know as a matter of fact that:
m = +6
and thus k = 8-6 = 14
t^2-kt-m = (t-a)(t+m) w... | 77,397 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Guide words appear on each page of a dictionary. They tell you the first word and last word on the page. The other words on the page come between the guide words in alphabetical order.
To put words in alphabetical order, put... | 318 |
<|im_start|>user
All the students of class are told to sit in circle shape. Here the boy at the 10 th position is exactly opposite to 45 th boy. Total number of boys in the class?
Answer Choices: (A) 65 (B) 68 (C) 72 (D) 70 (E) 58<|im_end|>
<|im_start|>assistant
<think>
</think>
As half the circle shape consist of 45... | 10,331 |
<|im_start|>user
In May Mrs Lee's earnings were 30 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?
Answer Choice... | 13,973 |
<|im_start|>user
What is the term for physicians and scientists who research and develop vaccines and treat and study conditions ranging from allergies to aids?
Answer choice: (A) endocrinologists (B) vaccinologists (C) immunologists (D) virologists<|im_end|>
<|im_start|>assistant
<think>
</think>
Immunologist The va... | 11,549 |
<|im_start|>user
The moon revolves around the earth at a speed of approximately 1.02 kilometers per second. This approximate speed is how many kilometers per hour?
Answer Choices: (A) 60 (B) 61.2 (C) 62.5 (D) 3,600 (E) 3,672<|im_end|>
<|im_start|>assistant
<think>
</think>
moon revolves around the earth at a speed of... | 46,862 |
<|im_start|>user
A train traveled the first d miles of its journey it an average speed of 60 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. If the train’s average speed over the total distance was 9... | 11,215 |
<|im_start|>user
If it takes a machine 2⁄5 minute to produce one item, how many items will it produce in 2 hours?
Answer Choices: (A) 1⁄3 (B) 4⁄3 (C) 80 (D) 120 (E) 300<|im_end|>
<|im_start|>assistant
<think>
</think>
1 item takes 2/5 min so it takes 120 min to produce x
2x/5=120 the x=300
The answer is E<|endoftext|... | 77,369 |
<|im_start|>user
A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?
Answer Choices: (A) 16 (B) 17 (C) 18 (D) 20 (E) 19<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the average after the 16th inning be P.
So, the average after the... | 68,870 |
<|im_start|>user
There are k members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 55 possible combinations in which Michael is not selected, what is the value of k?
Answer Choices: (A) 11 (B) 12 (C) 15 (D) 18 (E) 22<|im_end|>
<|im_start|... | 16,138 |
<|im_start|>user
What two types of atoms bond to form sulfate minerals?
Answer choice: (A) oxygen and sulfur (B) oxygen and carbon (C) oxygen and calcium (D) carbon and sulfur<|im_end|>
<|im_start|>assistant
<think>
</think>
Sulfate minerals contain sulfur atoms bonded to oxygen atoms. Like halides, they can form in ... | 9,964 |
<|im_start|>user
If A and B get profits of Rs.15,000 and Rs.5,000 respectively at the end of year then ratio of their investments are
Answer Choices: (A) 4:1 (B) 1:4 (C) 3:1 (D) 2:3 (E) 2:5<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio = 15000/5000 = 3 : 1
The answer is C<|endoftext|> | 18,297 |
<|im_start|>user
A group of 6 students bought movie tickets in one row next to each other. If Bob and Lisa are in this group, what is the probability that Bob and Lisa will each sit next to only one of the five other students from the group?
Answer Choices: (A) 5.6% (B) 6.7% (C) 15.5% (D) 20.4% (E) 25.7%<|im_end|>
<|im... | 62,397 |
<|im_start|>user
A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Answer Choices: (A) 1642 (B) 1640 (C) 1632 (D) 2789 (E) 6386<|im_end|>
<|im_start|>assistant
<thi... | 15,191 |
<|im_start|>user
A 300 meter long train crosses a platform in 51 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Answer Choices: (A) 550 (B) 289 (C) 350 (D) 882 (E) 281<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of t... | 12,662 |
<|im_start|>user
If a person walks at 16 km/hr instead of 12 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
Answer Choices: (A) 50 (B) 65 (C) 70 (D) 61 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the actual distance traveled be x km. Then,
x/12 = (x + 20)/16
x - 60 =>x... | 60,583 |
<|im_start|>user
A train 180 m long passed a pole in 3 sec. How long will it take to pass a platform 330 m long?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 180/3
= 60 m/sec.
Required time
= (180 + 300)/60
= 8 sec.
The answer is D<|endoftext|> | 96,573 |
<|im_start|>user
What broad category of animals shows adaptations from water-dwelling to land-dweller, including the ability to breathe air and legs to move on land?
Answer choice: (A) amphibians (B) reptiles (C) birds (D) herbivores<|im_end|>
<|im_start|>assistant
<think>
</think>
Amphibians! In order for water-dwel... | 2,459 |
<|im_start|>user
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 5 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Answer Choices: (A) 60 gallons (B) 200 gallons (C) 120 gallons (D) 180 gallons (E) 130 gallons<... | 75,134 |
<|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 that can stand alone as a sentence. A dependent clause (or subordinate clause) is not a complete thought ... | 2,637 |
<|im_start|>user
If 15 men, working 9 hours a day, can reap a field in 16 days, in how many
days will 18 men reap the field, working 8 hours a day?
Answer Choices: (A) 20 day (B) 16 day (C) 14 day (D) 10 day (E) 15 day<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the required number of days be x.
More men, Le... | 59,539 |
<|im_start|>user
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age nine years back was?
Answer Choices: (A) 10yr (B) 15yr (C) 20yr (D) 25yr (E) 30yr<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the son's present age be ... | 79,579 |
<|im_start|>user
A motorcyclist goes from Bombay to Pune, a distance of 128 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Answer Choices: (A) 1:3 (B) 1:5 (C) 1:4 (D) 1:1 ... | 14,191 |
<|im_start|>user
If f(x)=4x−1 and g(x)=2x+6 for all integers, which of the following is a possible value of g(f(x))?
Answer Choices: (A) -23 (B) -17 (C) 0 (D) 8 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
g(f(x)) = 2*f(x)+6 = 2*(4x-1)+6 = 8x+4
Of these five options, only 20 has the form 8x+4.
The answer i... | 69,123 |
<|im_start|>user
What is the value of x^2yz − xyz^2, if x = 2, y = 1, and z =2?
Answer Choices: (A) 20 (B) 24 (C) 0 (D) 32 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
4*1*2-(2*1*4)
=8+8 = 0
The answer is C<|endoftext|> | 61,739 |
<|im_start|>user
The cost price of a radio is Rs.1500 and it was sold for Rs.1275, find the loss %?
Answer Choices: (A) 15% (B) 16% (C) 17% (D) 78% (E) 28%<|im_end|>
<|im_start|>assistant
<think>
</think>
1500 ---- 225
100 ---- ? => 15%
The answer is A<|endoftext|> | 29,102 |
<|im_start|>user
A number when divided by a divisor leaves a remainder of 24.
When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
Answer Choices: (A) 37 (B) 39 (C) 41 (D) 42 (E) 43<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the original numbe... | 65,783 |
<|im_start|>user
If Jake loses 35 pounds, he will weigh thrice as much as his sister. Together they now weigh 275 pounds. What is Jake's present weight, in pounds?
Answer Choices: (A) 131 (B) 135 (C) 139 (D) 147 (E) 188<|im_end|>
<|im_start|>assistant
<think>
</think>
J = Jake’s current weight, in pounds
S = Sis... | 47,575 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All solids, liquids, and gases are made of matter. Matter is made up of tiny particles that are always moving. The energy from the motion of these particles is called thermal energy.
Temperature measures how hot or cold matt... | 5,942 |
<|im_start|>user
A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track at the average speed of 5 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement... | 1,980 |
<|im_start|>user
In a college, the ratio of the number of boys to girls is 8 : 5. If there are 300 girls, the total number of
students in the college is
Answer Choices: (A) 420 (B) 520 (C) 780 (D) 620 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the boy are 8x and Girls are 5x
=... | 54,726 |
<|im_start|>user
The ratio, by volume, of soap to alcohol to water in a certain solution is 6:30:90. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 150 cubic centimeters of alcohol, how many cubic centimeters ... | 45,951 |
<|im_start|>user
In a division sum, the quotient is 120, the divisor 456 and the remainder 333, find the dividend?
Answer Choices: (A) 55053 (B) 50553 (C) 5553 (D) 40532 (E) 44258<|im_end|>
<|im_start|>assistant
<think>
</think>
120 * 456 + 333 = 55053
The answer is A<|endoftext|> | 39,721 |
<|im_start|>user
The difference between compound and simple interest on a particular sum of money for 3 years at 6 and 2/3% p.a is Rs.184. What is the sum?
Answer Choices: (A) 13000 (B) 13500 (C) 14000 (D) 14500 (E) 15000<|im_end|>
<|im_start|>assistant
<think>
</think>
P = (184*10^6) / (6 2/3 * 6 2/3*(300*6 2/3))
==... | 52,037 |
<|im_start|>user
A merchant has selected two items to be placed on sale, one of which currently sells for 40 percent less than the other. If he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item?
Answer Choices: (... | 80,878 |
<|im_start|>user
An old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 64 times the difference between the two numbers. How many coins did the old man have?
Answer Choices: (A) 24 (B) 26 (C) 30 (D) 64 (E) 40<|i... | 20,252 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Guide words appear on each page of a dictionary. They tell you the first word and last word on the page. The other words on the page come between the guide words in alphabetical order.
To put words in alphabetical order, put... | 3,727 |
<|im_start|>user
If m : n = 3 : 4 and n : o = 8 : 9, then m : o is :
Answer Choices: (A) 1 :3 (B) 3 :2 (C) 2 : 3 (D) 1 : 2 (E) 2 : 1<|im_end|>
<|im_start|>assistant
<think>
</think>
m/n = m/n * n/o
=3/4 * 8/9
= 2/3.
So m : o = 2 : 3
The answer is C<|endoftext|> | 25,788 |
<|im_start|>user
Find the minimum value of n such that 50! is perfectly divisible by 2520^n.
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
50!/2520^n
2520 -> 2^3 * 3^2 * 5^1 * 7^1
Here 7 is the largest prime factor...
So in order to find the minimum value of "n", it is... | 89,773 |
<|im_start|>user
Large amounts of cheques are processed by using
Answer Choices: (A) kilobytI (B) kilobyt2 (C) kilobyte (D) kilobytK (E) kilobytW<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 50,942 |
<|im_start|>user
In 1986 the book value of a certain car was 2/3 original price, and in 1988 its book value was 1/2 the original purchase price. By what percent did the book value for this car decrease from 1986 to 1988?
Answer Choices: (A) 16 2/3% (B) 25% (C) 33 1/3 (D) 50% (E) 75%<|im_end|>
<|im_start|>assistant
<thi... | 2,810 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Personification is giving human characteristics to nonhuman things. It is a figure of speech that can be used to make writing more interesting or to emphasize a point.
The trees danced in the wind.
The word danced describes ... | 600 |
<|im_start|>user
22 people are there, they are shaking hands together, how many hand shakes possible,if they are in pair of cyclic sequence.
Answer Choices: (A) 19 (B) 20 (C) 21 (D) 22 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
in case of cycle no of handshakes = no of persons
hence ans = 22
The answer i... | 54,577 |
<|im_start|>user
Today is Monday. After 37 days, it will be:
Answer Choices: (A) Sunday (B) Saturday (C) Friday (D) Thursday (E) Wednesday<|im_end|>
<|im_start|>assistant
<think>
</think>
Each day of the week is repeated after 7 days.
So, after 35 days, it will be Monday.
After 37 days, it will be Wednesday.
The answ... | 93,050 |
<|im_start|>user
Population growth is determined by rates of birth, death, immigration, and what else?
Answer choice: (A) excitation (B) relaxation (C) emigration (D) exploitation<|im_end|>
<|im_start|>assistant
<think>
</think>
Population growth is determined by rates of birth, death, immigration, and emigration.
Th... | 10,553 |
<|im_start|>user
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 6 years the amount to be paid is?
Answer Choices: (A) 3377 (B) 2688 (C) 2688 (D) 9490 (E) 1268<|im_end|>
<|im_start|>assistant
<think>
</think>
A = 7500(26/25)^6 = 9490
The answer is D<|endoftext|> | 78,332 |
<|im_start|>user
Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same Job.How long should it take both A and B, working together but independently, to do the same job?
Answer Choices: (A) 70 hours (B) 40/9 hours (C) 9 hours (D) 16 hours (E) 20 hours<|im_end|>
<|im_start|>assistant
<think>
</think... | 27,731 |
<|im_start|>user
A individuals pledged to pay equal contributions so that a charity’s goal of $x could be reached. If d of the contributors failed to pay their share, which of the following represents the additional number of dollars that each of the remaining individuals would have to pay in order to allow the charity... | 46,149 |
<|im_start|>user
The cost of fencing a square field @ Rs. 20 per metre is Rs.10.080.How much will it cost to lay a three meter wide pavement along the fencing inside the field @ Rs. 50 per sq m
Answer Choices: (A) 73889 (B) 27788 (C) 73879 (D) 73800 (E) 2799<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanatio... | 15,819 |
<|im_start|>user
A and B go around a circular track of length 200 m on a cycle at speeds of 36 kmph and 72 kmph. After how much time will they meet for the first time at the starting point?
Answer Choices: (A) 120 sec (B) 198 sec (C) 178 sec (D) 20 sec (E) 276 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Time... | 8,486 |
<|im_start|>user
96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Answer Choices: (A) 38 (B) 40 (C) 42 (D) 44 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
x/7 = y/9 => x:y = 7:9
7/16 * 96 = 42
C
The answer is C<|e... | 48,852 |
<|im_start|>user
In a company there are 5 partners A,B,C,D,E. They invested money in the ratio of 1:2:3:4:5. If after one year if there is a profit of Rs.15,000. Then share of E will be ?
Answer Choices: (A) 3000 (B) 4000 (C) 5000 (D) 6000 (E) 7000<|im_end|>
<|im_start|>assistant
<think>
</think>
5 partners A,B,C,D,E... | 56,785 |
<|im_start|>user
56 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :
Answer Choices: (A) 33.0 (B) 37.66 (C) 32.1 (D) 31.23 (E) 19<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the two parts be (56 - x) and x.
Then, 10 (56 ... | 29,085 |
<|im_start|>user
Cost of 16 mirror and 8 comb is Rs.336 and the cost of 4 mirror and 4 comb is Rs.96. Find the cost of each mirror?
Answer Choices: (A) 10 (B) 18 (C) 20 (D) 21 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the cost of each pen and pencil be 'p' and 'q' respectively.
16m + 8c = 336 --- (1... | 94,610 |
<|im_start|>user
Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $450, what were her original savings?
Answer Choices: (A) $1500 (B) $1600 (C) $1700 (D) $1800 (E) $1900<|im_end|>
<|im_start|>assistant
<think>
</think>
If Linda spent 3/4 of her savings on furnitute, the rest
4 / 4 ... | 88,876 |
<|im_start|>user
Which layer is the lithosphere located?
Answer choice: (A) eclipses layer (B) radii layer (C) nearest layer (D) outermost layer<|im_end|>
<|im_start|>assistant
<think>
</think>
Lithosphere and asthenosphere are layers based on physical properties. The outermost layer is the lithosphere . The lithosph... | 10,446 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Plants and animals are living things. Living things are called organisms.
Plants come in many shapes and sizes. Most plants grow in the ground. They might grow leaves, flowers, and fruit. Plants cannot move around on their o... | 4,946 |
<|im_start|>user
A train 210 m long, running with a speed of 63 km/hr will pass a tree in?
Answer Choices: (A) 22 sec (B) 16 sec (C) 17 sec (D) 18 sec (E) 12 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 210 * 2/35 = 18 sec
The answer is D<|endoftext|> | 59,461 |
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