text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
A shopkeeper sold an article offering a discount of 5% and earned a profit of 21.6%. What would have been the percentage of profit earned if no discount was offered?
Answer Choices: (A) 60% (B) 28% (C) 30% (D) 56% (E) 73%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let C.P. be Rs. 100.
Then, S.P... | 77,862 |
<|im_start|>user
What type of matter in the spinal cord has the appearance of an ink-blot test and is subdivided into regions that are referred to as horns?
Answer choice: (A) bright matter (B) gray matter (C) wet matter (D) dark matter<|im_end|>
<|im_start|>assistant
<think>
</think>
Gray Horns In cross-section, the... | 8,968 |
<|im_start|>user
The charge for a single room at Hotel P is 55 percent less than the charge for a single room at Hotel R and 10 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G?
Answer Choices: (A) 50%... | 17,773 |
<|im_start|>user
In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house?
Answer Choices: (A) 243 (B) 255 (C) 256 (D) 287 (E) 300<|im_end|>
<|im_start|>assistant
<think>
</think>
Andrew can select one or more than one of his 8 gang.
=> Required number of ways = 28 –... | 28,348 |
<|im_start|>user
A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 84 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m + d ?
Answer Choices: (A) 16% (B) 32% (C) 48% (D) 84% (E) 92%<|i... | 93,401 |
<|im_start|>user
How many positive integers less than 100 have a remainder of 6 when divided by 13?
Answer Choices: (A) 2 (B) 7 (C) 6 (D) 9 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
We have to include 6 also.As 13*0 + 6 =6
If somebody says to divide 6 by 13 ,we will be telling we have 0 quotient and rem... | 94,265 |
<|im_start|>user
Train A & B leave from same station and reaches same destination but train A leaves half an after Train B & travels 2 times faster than B. Total distance is 100 miles & train B travels 50 miles/hour. Which train reaches the destination first & what is the time difference between the train
Answer Choice... | 19,045 |
<|im_start|>user
In a certain candy store, 22% of the customers are caught sampling the candy and are charged a small fine, but 10% of the customers who sample the candy are not caught. What is the total percent of all customers who sample candy?
Answer Choices: (A) 22% (B) 23% (C) 24.4% (D) 25% (E) 34%<|im_end|>
<|im_... | 85,935 |
<|im_start|>user
A man sells a horse for Rs.920 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Answer Choices: (A) 287 (B) 279 (C) 267 (D) 860 (E) 940<|im_end|>
<|im_start|>assistant
<think>
</think>
CP = SP + 1CP = SP - g
920 + x ... | 67,292 |
<|im_start|>user
in a bus left side are 15 seats available,3 few seats in right side because in rear exit door .Each seat hold 3 people.In addition ,there is a seat back can sit 12 people all together .how many people can sit in a bus?
Answer Choices: (A) 52 (B) 49 (C) 95 (D) 88 (E) 93<|im_end|>
<|im_start|>assistant
<... | 18,394 |
<|im_start|>user
All carbon atoms have how many protons?
Answer choice: (A) one (B) two (C) six (D) eight<|im_end|>
<|im_start|>assistant
<think>
</think>
All carbon atoms have six protons. Most also have six neutrons, but some have seven or eight neutrons. What is the mass number of a carbon isotope that has seven n... | 7,345 |
<|im_start|>user
A train having a length of 240 m passes a post in 24 seconds. How long will it take to pass a platform having a length of 640 m?
Answer Choices: (A) 120 sec (B) 99 sec (C) 89 sec (D) 80 sec (E) 88 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
v = 240/24 (where v is the speed of th... | 6,500 |
<|im_start|>user
How many prime numbers are between 29/3 and 87/6?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
29/3= 58/6 = 10-
87/6= 15-
Prime numbers between 10 and 15 are 11 and 13
- sign signifies that the number is marginally less .
The answer is B<|endoftext|> | 54,161 |
<|im_start|>user
A Lady has given one-fourth part of her property to her daughter, half part to her sons and one-fifth part given as charity. How much part of hier property she has given?
Answer Choices: (A) 1/20 (B) 19/20 (C) 1/10 (D) 9/10 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
Total share ... | 50,324 |
<|im_start|>user
If |r+s|=|r-s|, then r*s must be equal to:
Answer Choices: (A) -2 (B) 2 (C) 0 (D) -3 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution 1: Distance perspective
|r-s| = |r+s| ==> The distance of r and s is equal to the distance of r and -s.
<=======(-s)=======0=======(s)======>
Only 0 is ... | 95,708 |
<|im_start|>user
In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Answer Choices: (A) 3 km/hr (B) 2 km/hr (C) 4 km/hr (D) 6 km/hr (E) 8 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed in still water = 1/2 (11 + 5) kmph ... | 45,081 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Matter is made of very small particles called atoms. Atoms can be linked together by chemical bonds. When two or more atoms link together, they form a molecule.
In a chemical change, the chemical bonds in the molecules break... | 3,117 |
<|im_start|>user
Two pipes P and Q can fill a cistern in 10 and 25 minutes respectively. Both are opened together, but at the end of 5 minutes the first is turned off. How much longer will the cistern take to fill?
Answer Choices: (A) 12 1/7 (B) 12 1/4 (C) 12 1/3 (D) 12 1/2 (E) 12 1/5<|im_end|>
<|im_start|>assistant
<t... | 96,810 |
<|im_start|>user
A jar is filled with red, white, and blue tokens that are equivalent except for their color. The chance of randomly selecting a red token, replacing it, then randomly selecting a white token is the same as the chance of randomly selecting a blue token. If the number of tokens of every color is a multip... | 10,819 |
<|im_start|>user
Living things that use energy to make food, both for themselves and other living things, are what part of an ecosystem?
Answer choice: (A) consumers (B) producers (C) decomposers (D) growers<|im_end|>
<|im_start|>assistant
<think>
</think>
Producers are living things that use energy to make food. Pro... | 10,459 |
<|im_start|>user
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 19 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Answer Choices... | 82,559 |
<|im_start|>user
Two trains run in opposite directions on a circular track. Train A travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point T at the same time, how long, in hours, after the trains depart will they ... | 17,485 |
<|im_start|>user
The simple interest at a% for a years will be $a on a sum of
Answer Choices: (A) $ (1000) /a (B) $(100) a^2 (C) $ a (D) $ (100) /a (E) $ 100a<|im_end|>
<|im_start|>assistant
<think>
</think>
Principal =$(100*a)/(a*a)=$(100/a).
The answer is D<|endoftext|> | 10,292 |
<|im_start|>user
The vector of what organism is significant on a map showing the location of malaria?
Answer choice: (A) mosquito (B) virus (C) worm (D) fungi<|im_end|>
<|im_start|>assistant
<think>
</think>
Worldwide Distribution of Malaria. This map shows where malaria is found. The area is determined by the mosqui... | 11,125 |
<|im_start|>user
The consumption of diesel per hour of a bus varies directly as square of its speed. When the bus is travelling at 70 kmph its consumption is 1 litre per hour. if each litre costs $70 and other expenses per hous is $ 70, then what would be the minimum expenditure required to cover a distance of 700 Km?
... | 36,900 |
<|im_start|>user
Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 1 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amoun... | 93,627 |
<|im_start|>user
If the average (arithmetic mean) of five consecutive negative integers is 2k – 1, what is the difference V between the greatest and least of the five integers?
Answer Choices: (A) 4K (B) 4k^2 -4k (C) 4-4k (D) 4 (E) 4k+4<|im_end|>
<|im_start|>assistant
<think>
</think>
(n-2 + n - 1 + n + n + 1 + n + 2... | 49,384 |
<|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 ... | 4,773 |
<|im_start|>user
(35423+7164+41720)-(317x89)=?
Answer Choices: (A) 28213 (B) 84307 (C) 50694 (D) 54094 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
=(84307)-317x89
=84307-(317x(90-1))
=84307-(317x90-317)
=84307-28213
=54094
The answer is D<|endoftext|> | 32,638 |
<|im_start|>user
Mrs. Napier has 86 stickers to give to 10 students for a reward. How many
stickers will each student get? Will there be any stickers left over?
Answer Choices: (A) 8-6 (B) 2-4 (C) 2-6 (D) 2-3 (E) 2-8<|im_end|>
<|im_start|>assistant
<think>
</think>
86/10 = 8 R 6 Mrs. Napier will give each student 8 s... | 62,299 |
<|im_start|>user
For 600 km journey it will take 8hrs, if 120 km is done by bus and the rest by car. It takes 20 minutes more, if 200 km is done by busand the rest by car. The ratio of the speed of the train to that of the cars is?
Answer Choices: (A) 1 : 3 (B) 3 : 4 (C) 3 : 5 (D) 3 : 7 (E) 4 : 5<|im_end|>
<|im_start|>... | 3,507 |
<|im_start|>user
An bus covers a certain distance at a speed of 250 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
Answer Choices: (A) 1520 km/hr (B) 1250 km/hr (C) 1256 km/hr (D) 1231 km/hr (E) 1220 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Distance = (250 x 5) = 1250 k... | 91,454 |
<|im_start|>user
If tomorrow will be a Sunday, what day was the day before yesterday?
Answer Choices: (A) Monday (B) Tuesday (C) Wednesday (D) Thursday (E) Friday<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Tomorrow will be a Sunday
=>Today is a Saturday
=> Yesterday was a Friday
=> The day before y... | 25,765 |
<|im_start|>user
Two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line. For instance, 3 and 7 rhyme around 5. What integer W between 1 and 20, inclusive, has the greatest number of distinct rhyming primes around it?
Answer Choices: (A) 12 (B) 15 (C) ... | 82,092 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Every object is made of one or more materials. A material is a type of matter. Wood, glass, metal, and plastic are common materials.
A material has different properties. A material's properties tell you how it looks, feels, ... | 2,053 |
<|im_start|>user
A’s speed is 20/15 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?
Answer Choices: (A) 1/17 (B) 3/17 (C) 1/10 (D) 5/20 (E) 3/10<|im_end|>
<|im_start|>assistant
<think>
</think>
We have the ratio of A’s ... | 72,063 |
<|im_start|>user
On a game show, a contestant is given three keys, each of which opens exactly one of three identical boxes. The first box contains $2, the second $200, and the third $2000. The contestant assigns each key to one of the boxes and wins the amount of money contained in any box that is opened by the key as... | 87,213 |
<|im_start|>user
A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 3 inches wide on each side, the total area would have been (M + 64) square inches. What is the perimeter of the photograph, in ... | 520 |
<|im_start|>user
All matter is composed of tiny indivisible particles called atoms. all atoms of an element are identical in mass and this?
Answer choice: (A) acid properties (B) chemical properties (C) liquid properties (D) electrical properties<|im_end|>
<|im_start|>assistant
<think>
</think>
All matter is composed... | 570 |
<|im_start|>user
On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 66% chance of rain each of the next two evenings, what is ... | 65,159 |
<|im_start|>user
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Answer Choices: (A) 22 (B) 37 (C) 30 (D) 27 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
US = 25
DS = 35
M = (35 + 25)/2 = 30
The answer is C<|endoftext|> | 36,961 |
<|im_start|>user
Amino acids are made by which kind of plastid?
Answer choice: (A) leucoplasts (B) neuroplasts (C) glucoplasts (D) sporozoans<|im_end|>
<|im_start|>assistant
<think>
</think>
Leucoplasts are plastids that store substances such as starch or make small molecules such as amino acids.
The answer is A<|end... | 9,148 |
<|im_start|>user
A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?
Answer Choices: (A) 39:40 (B) 40:39 (C) 3:4 (D) 4:3 (E) 1:2<|im_end|>
<|im_start|>a... | 58,652 |
<|im_start|>user
On my sister's birthday, she was 126 cm in height, having grown 5% since the year before. How tall was she the previous year?
Answer Choices: (A) 124 cm (B) 120 cm (C) 116 cm (D) 112 cm (E) 110 cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the previous year's height be x.
1.05x = 126
x = 12... | 59,061 |
<|im_start|>user
A table is bought for Rs.1020/- and sold at Rs.750/- find the loss percentage
Answer Choices: (A) 26% Loss (B) 10% Gain (C) 20% Loss (D) 20% Gain (E) 30% Gain<|im_end|>
<|im_start|>assistant
<think>
</think>
Formula = (Selling price ~ Cost price)/Cost price * 100
= (750 ~ 1020)/1020 = 26% Loss
A
The ... | 10,172 |
<|im_start|>user
From the integer n, if n*n*n*n is even, then what is true from below options?
Answer Choices: (A) n is odd (B) n*n is even (C) n is odd and n*n is even (D) n is even (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
n is even
Option D
The answer is D<|endoftext|> | 4,934 |
<|im_start|>user
Claire has a total of 90 pets consisting of gerbils and hamsters only. One-quarter of the gerbils are male, and one-third of the hamsters are male. If there are 25 males altogether, how many gerbils does Claire have?
Answer Choices: (A) 39 (B) 50 (C) 66 (D) 57 (E) 60<|im_end|>
<|im_start|>assistant
<th... | 25,261 |
<|im_start|>user
According to a survey, at least 50% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?
Answer Choices: (A) 5% (B) 10% (C) 15% (D) 20% (E) 25%<|im_end|>
<|im_start|>assistant
<think>
</think>
To minimize the per... | 20,842 |
<|im_start|>user
Trail mix consists of Chex cereal, M&M's, raisins, and assorted nuts. If one serving consists of 4 cups Chex cereal, 3 cups M&M's, 2 cups rains, and 4 cups assorted nuts, and the ratio of the Chex is doubled to to the M&M's, what is the ratio of Chex to the rest of the dish?
Answer Choices: (A) 10: 5 (... | 45,629 |
<|im_start|>user
Each week, Harry is paid x dollars per hour for the first 18 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If H... | 57,930 |
<|im_start|>user
A train travelled from station P to Q in 8 hours and came back from station Q to P is 6 hours. What would be the ratio of the speed of the train while traveling from station P to Q to that from station Q to P?
Answer Choices: (A) 3 : 9 (B) 3 : 7 (C) 3 : 8 (D) 3 : 4 (E) 3 : 1<|im_end|>
<|im_start|>assis... | 40,436 |
<|im_start|>user
What is the smallest no. that should be added to 31110 to make it exactly divisible by 9?
Answer Choices: (A) 1 (B) 3 (C) 5 (D) 6 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
If a number is divisible by 9, the sum of its digits must be a multiple of 9.
Here, 3+1+1+1+0=6, the next multiple o... | 41,377 |
<|im_start|>user
The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue E, in dollars, from the sale of cars priced at $ 15,000?
Answer Choices: (A) 50,000 (B) 750,000 (C) 850,000 (D) 7,500,000 (E) E=750,000,000<|im_end|... | 75,510 |
<|im_start|>user
P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Answer Choices: (A) 17:6 (B) 17:4 (C) 17:8 (D) 17:1 (E) 17:3<|im_end|>
<|im_start|>assistant
<think>
</think>
P:Q = 85000 : 15000 = 17:3.... | 2,686 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A sentence is a group of words that forms a complete thought. It has both a subject and a verb.
My friends walk along the path.
A run-on sentence is made up of two sentences that are joined without end punctuation or with ju... | 6,481 |
<|im_start|>user
A number, x is chosen at random from the set of positive integers less than 12. What is the probability that (9/x) > x?
Answer Choices: (A) 1/11 (B) 2/9 (C) 2/11 (D) 2/3 (E) 7/9<|im_end|>
<|im_start|>assistant
<think>
</think>
Number x has to be chosen from numbers 1-11
(9/x) > x
=> 9 > x^2
=>x^... | 5,038 |
<|im_start|>user
Find out the wrong number in the given sequence of numbers.
36, 54, 18, 27, 9, 18.5, 4.5
Answer Choices: (A) 18.8 (B) 18.5 (C) 18.0 (D) 18.1 (E) 18.7<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The terms are alternatively multiplied by 1.5 and divided by 3. However, 18.5 does not sa... | 58,419 |
<|im_start|>user
Jim has arrived late for his golf tee time with his friends. When he arrives at the course, he discovers that his friends have already walked 180 yards ahead on the course and that they are continuing to walk forward at a rate of 1.5 yards per second. A bystander with a golf cart takes pity on Jim and ... | 70,452 |
<|im_start|>user
The number of cars present at a particular time was measured at 4,999 different locations on Tuesday and on Wednesday. The number of locations that had more cars on Wednesday was 20% higher than the number of locations that had more cars on Tuesday. How many of the locations had more cars on Tuesday?
A... | 78,378 |
<|im_start|>user
In one hour a boat goes 22 km long the stream and 12 km against the stream.The speed of the boat in still water is?
Answer Choices: (A) 17 (B) 18 (C) 16 (D) 15 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed in still water A = ½ ( 22+12) km/hr A= 17 kmph
The answer is A<|endoftext|> | 85,358 |
<|im_start|>user
If the number is divided by 3, it reduced by 48. The number is
Answer Choices: (A) A) 51 (B) B) 50 (C) C) 45 (D) D) 72 (E) E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the number be x. Then,
x - (x/3) = 48 => 2x/3 = 48
=> x = 72
The answer is D<|endoftext|> | 13,136 |
<|im_start|>user
From January 1, 1991, to January 1, 1993, the number of people enrolled in health maintenance organizations increased by 20 percent. The enrollment on January 1, 1993, was 50 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 1991 ?... | 73,785 |
<|im_start|>user
If A is thrice as fast as B and together can do a work in 12 days. In how many days A alone can do the work?
Answer Choices: (A) 16 (B) 42 (C) 28 (D) 54 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
A’s one day’s work= 1/X
B’s one day’s work= 1/3x
A + B’s one day’s work= 1/x + 1/3x = 1/12
=... | 22,602 |
<|im_start|>user
xy=1 then what is (4^(x+y)^2) / (4^(x-y)^2)
Answer Choices: (A) 256 (B) 4 (C) 8 (D) 16 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
(x+y)^2 - (x-y)^2
(x+y+x-y)(x+y-x+y)
(2x)(2y)
4xy
4
4^4 = 256
The answer is A<|endoftext|> | 1,275 |
<|im_start|>user
In a nationwide poll, P people were asked 2 questions. If 2/5 answered “yes” to question 1, and of those 1/3 also answered “yes” to question 2, which of the following represents the number of people polled who did not answer “yes” to both questions?
Answer Choices: (A) 2/15*P (B) 3/5*P (C) 3/4*P (D) 5/... | 60,098 |
<|im_start|>user
A man gets a simple interest of Rs.400 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate.
Answer Choices: (A) Rs.500 (B) Rs.250 (C) Rs.205 (D) Rs.5062.50 (E) None of these.<|im_end|>
<|im_start|>as... | 63,570 |
<|im_start|>user
What is a species that plays an especially important role in it's community called?
Answer choice: (A) complement (B) Invasive (C) Leader (D) keystone<|im_end|>
<|im_start|>assistant
<think>
</think>
Some predator species are known as keystone species. A keystone species is one that plays an especial... | 243 |
<|im_start|>user
If n is a positive integer and (n+1)(n+3)(n+1)(n+3) is odd, then (n+2)(n+4)(n+2)(n+4) must be a multiple of which one of the following?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
(n+1)(n+3)(n+1)(n+3) is odd only when both (n+1)(n+1) and (n+3)(n+3) a... | 86,154 |
<|im_start|>user
The average of 6 no.'s is 3.95. The average of 2of them is 3.8, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
Answer Choices: (A) 4.2 (B) 4.4 (C) 4.6 (D) 5.6 (E) 5.7<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of the remaining two numbers = (3.95 * 6) ... | 7,143 |
<|im_start|>user
A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent?
Answer Choices: (A) 8 1/7 % (B) 2 1/3 % (C) 8 1/3 % (D) 8 1/8 % (E) 8 1/9 %<|im_end|>
<|im_start|>assistant
<think>
</think>
C.P. of 1 kg = 420/7 = Rs. 6
S.P. of ... | 37,623 |
<|im_start|>user
A rectangular lawn of dimensions 80 m * 40 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Answer Choices: (A) 2288 (B) 2779 (C) 3300 (D) 3900 (E) 2781<|im_e... | 71,369 |
<|im_start|>user
If cost of sugar increases by 50%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
Answer Choices: (A) 33% (B) 50% (C) 20% (D) 90% (E) 60%<|im_end|>
<|im_start|>assistant
<think>
</think>
100
150
-----
150 ----- 50
100 ------ ? => 33%
The answer is A<|end... | 77,111 |
<|im_start|>user
A train 2500 m long can cross an electric pole in 50 sec and then find the speed of the train?
Answer Choices: (A) 178 (B) 180 (C) 182 (D) 184 (E) 186<|im_end|>
<|im_start|>assistant
<think>
</think>
Length = Speed * time
Speed = L/T
S = 2500/50
S = 50 M/Sec
Speed= 50*18/5 (To convert M/Sec in to Kmp... | 25,386 |
<|im_start|>user
A pump can fill a tank with water in 5 hours. Because of a leak, it took 7 hours to fill the tank. The leak can drain all the water in ?
Answer Choices: (A) 15hr 10min (B) 16hr 20min (C) 17hr 30min (D) 15hr (E) 14hr 25min<|im_end|>
<|im_start|>assistant
<think>
</think>
Work done by the leak in 1 hou... | 7,897 |
<|im_start|>user
A dessert recipe calls for 50% melted chocolate and 50% raspberry puree to make a particular sauce. A chef accidentally makes 15 cups of the sauce with 40% melted chocolate and 60% raspberry puree instead. How many cups of the sauce does he need to remove and replace with pure melted chocolate to make ... | 11,926 |
<|im_start|>user
I bought two stocks, for Rs. 500. I sold one at a loss of 20% and other at a gain of 25% and then I found each stick was sold at the same price. Find the cost of the stock sold at a loss?
Answer Choices: (A) A) 657 (B) B) 280 (C) C) 438 (D) D) 306 (E) E) 427<|im_end|>
<|im_start|>assistant
<think>
</t... | 30,723 |
<|im_start|>user
A raffle is being held at a party with 25 guests. Each guest has a numbered ticket (1 through 25). Three numbers will be randomly chosen and prizes given out. Paul and Jane have numbers 22 and 23. What is the probability both will win a prize?
Answer Choices: (A) 1/2 (B) 1/3 (C) 1/100 (D) 1/10 (E) 3/25... | 5,411 |
<|im_start|>user
Find the next number in the series
1, 6, 13, 22, 33, ......
Answer Choices: (A) 44 (B) 45 (C) 46 (D) 47 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
1+5=6
6+7=13
13+9=22
22+11=33
33+13=46
The answer is C<|endoftext|> | 12,354 |
<|im_start|>user
A can do a work in 7 days and B in 12 days. If they work on it together then in how many days required to complete the work?
Answer Choices: (A) 83/19 (B) 84/19 (C) 81/19 (D) 77/19 (E) 87/19<|im_end|>
<|im_start|>assistant
<think>
</think>
Person ( A ) ( B ) ( A+B )
Time - ( 7 ) ( 12 ) (84/19)
Rate -... | 16,640 |
<|im_start|>user
Two spheres of their radios in the ratio 4 : 3. Find its volumes ratio?
Answer Choices: (A) 64:13 (B) 13:64 (C) 27:64 (D) 64:27 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
Sphere volume (V) = 4/3 πR(power3) : 4/3 π r(power3) = 4(power3) : 3(power3)
= 64 : 27
The answer is D<|end... | 62,920 |
<|im_start|>user
In a room there are 12 people. Each person shook hands with every other person. How many hand shakes were there?
Answer Choices: (A) 58 (B) 60 (C) 62 (D) 64 (E) 66<|im_end|>
<|im_start|>assistant
<think>
</think>
12C2 = 66
The answer is E<|endoftext|> | 7,464 |
<|im_start|>user
If the remainder is 15 when the integer n is divided by 28, what is the remainder when 2n is divided by 14?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
n = 28k+15
2n = 2(28k+15) = 4k*14 + 30 = 4k*14 + 2*14 + 2 = 14j + 2
The answer is C<|endoftext|> | 66,122 |
<|im_start|>user
Find the unit's digit in the product (2467)^153 * (341)^72
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 7 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
unit digit of 341^72 will be 1.
unit digit of (2467)^153 will be same as that of 7^1 (153 mod 4 = 1)
answer 7
The answer is D<|endoftext|> | 16,554 |
<|im_start|>user
There are six leopards and one sheep.
Leopard can eat sheep but since as the land is magical, the leopards who eats the sheep , turns into sheep and then can be eaten by the remaining leopard(s).
If we leave them for some time then how many sheep and leopard will be there , when we come back ?
Answer C... | 42,631 |
<|im_start|>user
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Answer Choices: (A) 5.77 (B) 5.79 (C) 5.76 (D) 5.75 (E) 5.71<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 6
S = 1.2
DS =... | 57,918 |
<|im_start|>user
if x = 4 + 4 - 4 + 4 - ......¥ find the value of x
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
x=4+4-x.
2x=8.
x=4
The answer is D<|endoftext|> | 50,094 |
<|im_start|>user
How many numbers with distinct digits are possible product of whose digits is 28?
Answer Choices: (A) 6 (B) 4 (C) 8 (D) 12 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
DETAILED SOLUTION
Two digit numbers; The two digits can be 4 and 7: Two possibilities 47 and 74.
Three-digit numbers: The ... | 91,155 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Which change better matches the sentence?
The ground in an area shakes.
Answer Choices: (A) earthquake (B) wildfire<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 957 |
<|im_start|>user
The ratio between the perimeter and the width of a rectangle is 5 : 1. If the area of the rectangle is 150 sq. cm, what is the width of the rectangle?
Answer Choices: (A) 10 cm (B) 12 cm (C) 14 cm (D) 16 cm (E) 18 cm<|im_end|>
<|im_start|>assistant
<think>
</think>
2L+2W = 5W
L = 3W/2
W*L = 150
3W^2/... | 54,157 |
<|im_start|>user
Calculate how many men are needed to finish a specific task in 10 days if it will take 30 men to complete the same task in 60 days?
Answer Choices: (A) 180 (B) 185 (C) 170 (D) 280 (E) 182<|im_end|>
<|im_start|>assistant
<think>
</think>
men required to finish the work in 10 days = 30*60/10 = 180
The ... | 80,150 |
<|im_start|>user
On a partly cloudy day, Derek decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets rain cloud, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction of the total distance ... | 94,824 |
<|im_start|>user
4 friends want to buy a company from the $150 000 cost. However, they have only $20 000 to be put in the company. How much partner will they have to fetch in more and which will be the equal value for every partner (The value should not contain of decimals) ?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E)... | 68,261 |
<|im_start|>user
The tyndall effect refers to the scattering of what by colloidal particles?
Answer choice: (A) visible light (B) primary colors (C) dark matter (D) dust mites<|im_end|>
<|im_start|>assistant
<think>
</think>
The Tyndall effect is the scattering of visible light by colloidal particles.
The answer is A... | 10,141 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Poets often use the sounds of words to create interesting effects and to express moods and emotions. Understanding these elements of poetry can help you better interpret and appreciate poetic forms.
Anaphora is the repetitio... | 454 |
<|im_start|>user
7 3/4 + 7 2/17 - 9 1/15=?
Answer Choices: (A) 7 719/1020 (B) 9 817/1020 (C) 9 719/1020 (D) 5 817/1020 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
Given sum=7+3/4+7+2/17-(9+1/15)
=(7+7-9)+(3/4+2/17-1/15)
=5+(765+120-68/1020
=5 817/1020
The answer is D<|endoftext|> | 41,228 |
<|im_start|>user
Look at this series: 97, 97, 97, 87, 87, 87, 67, 67, 67 ... What number should come next?
Answer Choices: (A) 47 (B) 57 (C) 45 (D) 48 (E) 55<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
In this series, each number 20 is subtracted from previous number to arrive at the next number.
Th... | 82,909 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Solid and liquid are states of matter. Matter is anything that takes up space. Matter can come in different states, or forms.
When matter is a solid, it has a shape of its own.
Some solids can be bent or broken easily. Other... | 4,272 |
<|im_start|>user
What are the only innate behaviors in humans?
Answer choice: (A) learned behaviors (B) inherited traits (C) insight behaviors (D) reflex behaviors<|im_end|>
<|im_start|>assistant
<think>
</think>
Innate behaviors occur in all animals. However, the more intelligent a species is, the fewer innate behav... | 4,528 |
<|im_start|>user
At an elementary school, 60% of the faculty members are women and 60% of the faculty members are married. If 3/4 of the men are single, what fraction of the men are married?
Answer Choices: (A) 3/4 (B) 2/5 (C) 4/5 (D) 2/3 (E) 1/4<|im_end|>
<|im_start|>assistant
<think>
</think>
--------------------M-... | 91,094 |
<|im_start|>user
Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 15% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be
Answer Choic... | 79,023 |
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