text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1:2:3. If there are Rs. 30 in all, how many 5 p coins are there?
Answer Choices: (A) 176 (B) 167 (C) 150 (D) 717 (E) 154<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of 25 p, 10 p and 5 p coins be x, 2x and 3x respecti... | 17,028 |
<|im_start|>user
Jerry went to a shop and bought things worth Rs. 45, out of which 30 % went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Answer Choices: (A) 19 (B) 19.7 (C) 21.3 (D) 29.5 (E) 39.7<|im_end|>
<|im_start|>assistant
<think>
</think>
Total cost o... | 5,624 |
<|im_start|>user
If x is the median the set {9/2, x,11/3, 28/9, 21/5}, x could be
Answer Choices: (A) 16/5 (B) 17/5 (C) 21/7 (D) 4 (E) 31/7<|im_end|>
<|im_start|>assistant
<think>
</think>
The median is the middle number once all the numbers are arranged in increasing/decreasing order.
We see that
11/3 = 3.something,... | 58,729 |
<|im_start|>user
A group of medical interns at Bohemus Medical School want to go on dates. There are 5 girls and 7 guys. Assuming girls go on dates with guys, how many possible ways can these 10 medical interns date each other?
Answer Choices: (A) 10 (B) 25 (C) 60 (D) 2520 (E) 2320<|im_end|>
<|im_start|>assistant
... | 44,122 |
<|im_start|>user
An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in bot... | 13,218 |
<|im_start|>user
(8^15)+(16^13)+(4^24) = ?
Answer Choices: (A) (4) *(2^29+1) (B) (6) *(2^48) (C) (9) *(2^49) (D) (28) *(2^53) (E) 2^148<|im_end|>
<|im_start|>assistant
<think>
</think>
I think you are assuming that (X^Y) + (X^Z) is = (X^Y+Z) which is not true, as it only applies to multiplication. Rather it would... | 74,115 |
<|im_start|>user
Q and R are two-digit positive integers that have the same digits but in reverse order. If the positive difference between Q and R is less than 60, what is the greatest possible value of Q minus R?
Answer Choices: (A) 52 (B) 54 (C) 55 (D) 56 (E) 58<|im_end|>
<|im_start|>assistant
<think>
</think>
A t... | 57,917 |
<|im_start|>user
Hitesh is 40 years old and Ronnie is 60years old. How many years ago was the ratio of their ages 3:5?
Answer Choices: (A) 10 (B) 15 (C) 20 (D) 8 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose the ratio was 3:5, x years ago
40-x / 60-x = 3/5
5(40-x) = 3(60-x)
x = 10
The answer is A<|e... | 17,205 |
<|im_start|>user
The radius of a cylinder is 2 r units and height is 3 r units. Find the curved surface?
Answer Choices: (A) 18 πr2 (B) 12πr2 (C) 3 πr2 (D) 6 πr2 (E) 9 πr2<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
2 * π * 2r * 3r = 12πr2
The answer is B<|endoftext|> | 59,898 |
<|im_start|>user
In a school of 800 students, 45% wear blue shirts, 23% wear red shirts, 15% wear green shirts, and the remaining students wear other colors. How many students wear other colors (not blue, not red, not green)?
Answer Choices: (A) 120 (B) 128 (C) 136 (D) 144 (E) 152<|im_end|>
<|im_start|>assistant
<think... | 95,903 |
<|im_start|>user
If six persons sit in a row, then the probability that three particular persons are always together is
Answer Choices: (A) 1/20 (B) 3/10 (C) 1/5 (D) 4/5 (E) 2/5<|im_end|>
<|im_start|>assistant
<think>
</think>
Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as... | 91,757 |
<|im_start|>user
What kingdom in the domain eukarya that includes molds, mushrooms, and yeasts called?
Answer choice: (A) bacteria (B) acids (C) fungi (D) proteins<|im_end|>
<|im_start|>assistant
<think>
</think>
Fungi are a kingdom in the domain Eukarya that includes molds, mushrooms, and yeasts.
The answer is C<|en... | 3,438 |
<|im_start|>user
If the sides of a square are multiplied by 10, the area of the original square is how many times as large as the area of the resultant square?
Answer Choices: (A) 1% (B) 10% (C) 100% (D) 500% (E) 1000%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the original length of one side.
Then the... | 10,996 |
<|im_start|>user
It takes 40 identical printing presses 12 hours to print 500,000 papers. How many hours would it take 30 of these printing presses to print 500,000 papers?
Answer Choices: (A) 14 (B) 15 (C) 16 (D) 18 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
40 printing presses can do 1/12 of the job ea... | 45,971 |
<|im_start|>user
What is the perimeter of a square field whose diagonal is 8√2?
Answer Choices: (A) 33 (B) 32 (C) 88 (D) 99 (E) 221<|im_end|>
<|im_start|>assistant
<think>
</think>
4a = 32 m
The answer is B<|endoftext|> | 54,635 |
<|im_start|>user
A telephone number contains 10 digit, including a 3-digit area code. Bob remembers the area code and the next 5 digits of the number. He also remembers that the remaining digits are not 1, 6, or 7. If Bob tries to find the number by guessing the remaining digits at random, the probability that he will ... | 13,366 |
<|im_start|>user
In an election between two candidates A and B, the number of valid votes received by A exceeds those received by B by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 6720 votes were polled, then how many valid votes did B get?
Answer Choices: (A) 1888 (B)... | 21,195 |
<|im_start|>user
A train 125 m long passes a man, running at 8 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Answer Choices: (A) 53 (B) 50 (C) 99 (D) 288 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the train relative to man = (125/10) m/sec = (... | 72,170 |
<|im_start|>user
If a certain toy store's revenue in November was 2/5 of its revenue in December and its revenue in January was 1/3 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
Answer Choices: (A) 5/3 (B) 5/4 (... | 28,872 |
<|im_start|>user
The coordinated activities of the legume and the rhizobium bacteria depend on what between the partners?
Answer choice: (A) electric signals (B) chemical signals (C) sight signals (D) fertilizer signals<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 11,235 |
<|im_start|>user
If Sharon's weekly salary increased by 16 percent, she would earn $406 per week. If instead, her weekly salary were to increase by 10 percent, how much would she earn per week?
Answer Choices: (A) $374 (B) $382 (C) $385 (D) $392 (E) $399<|im_end|>
<|im_start|>assistant
<think>
</think>
Soln:-
(406/11... | 69,933 |
<|im_start|>user
Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
Answer Choices: (A) 5 (B) 4 (C) 3 (D) 6 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Part filled by A + B + C in 1 hour = 1/5 + 1/10 + 1/30 = 1... | 3,736 |
<|im_start|>user
A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 70 minutes. When both pipes are opened, find when the cistern will be full?
Answer Choices: (A) 17 minutes (B) 87 minutes (C) 70 minutes (D) 28 minutes (E) 11 minutes<|im_end|>
<|im_start|>assistant
<think... | 50,758 |
<|im_start|>user
Average of 15 results is 43. If the average of first seven results is 41 and average of last seven results is 45 Then find the eighth result?
Answer Choices: (A) 41 (B) 39 (C) 43 (D) 45 (E) 47<|im_end|>
<|im_start|>assistant
<think>
</think>
Option 'C'
The answer is C<|endoftext|> | 3,283 |
<|im_start|>user
Kevin, David, and Catherine each try independently to solve a problem. If their individual probabilities for success are 1/2, 2/9 and 3/4, respectively, what is the probability all three will solve the problem?
Answer Choices: (A) 1/12 (B) 1/8 (C) 1/3 (D) 1/4 (E) 1/6<|im_end|>
<|im_start|>assistant
<th... | 89,835 |
<|im_start|>user
A sum of money is distributed among A,B,C,D in the proportion of 5:2:4:3. If C gets $1000 more than D, what is the B's share?
Answer Choices: (A) $1000 (B) $2000 (C) $2500 (D) $2850 (E) $2950<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the shares of A,B,C,D are 5x,2x,4x,3x
4x-3x = 1000
x = 1... | 65,092 |
<|im_start|>user
What elements tend to conduct well?
Answer choice: (A) organics (B) gases (C) metals (D) oils<|im_end|>
<|im_start|>assistant
<think>
</think>
While many elements differ dramatically in their chemical and physical properties, some elements have similar properties. We can identify sets of elements tha... | 8,252 |
<|im_start|>user
The number of permutations of the letters of the word 'MESMERISE' is?
Answer Choices: (A) 9!/(2!) 2 3! (B) 9!/(2!) 7 3! (C) 9!/(2!) 9 3! (D) 9!/(2!) 2 8! (E) 9!/(2!) 1 3!<|im_end|>
<|im_start|>assistant
<think>
</think>
n items of which p are alike of one kind, q alike of the other, r alike of anothe... | 82,066 |
<|im_start|>user
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
Answer Choices: (A) 150 (B) 160 (C) 180 (D) 170 (E) 190<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9 = 150 ... | 2,490 |
<|im_start|>user
A person spent Rs. 8,596 from his salary on food and ?7,640 on house rent. After that he was left with 28% of his monthly salary. What is his monthly salary ?
Answer Choices: (A) Rs. 21,560 (B) Rs. 22,500 (C) Rs. 22,550 (D) Rs. 23,550 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 23,568 |
<|im_start|>user
What is the total surface area in square meters of a rectangular solid whose length is 6 meters, width is 5 meters, and depth is 2 meters?
Answer Choices: (A) 100 m2 (B) 104 m2 (C) 106 m2 (D) 108 m2 (E) 160 m2<|im_end|>
<|im_start|>assistant
<think>
</think>
Surface Area of a cuboid = 2(lb+bh+lh) = 2... | 20,254 |
<|im_start|>user
A company has two types of machines, type R and type S. Operating at a constant rate a machine of R does a certain job in 36 hours and a machine of type S does the job in 36 hours. If the company used the same number of each type of machine to do job in 12 hours,how many machine R were used?
Answer Cho... | 62,070 |
<|im_start|>user
The cost of type 1 rice is Rs 15 per Kg and type 2 rice
is Rs 20 per Kg. If both type1 and type 2 are mixed in the
ratio of 2:3,then the price per Kg of the mixed variety
of rice is?
Answer Choices: (A) 15 (B) 17 (C) 19 (D) 18 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the price of t... | 40,043 |
<|im_start|>user
If each of 4 digit code is formed of integers from 1 to 10, inclusively, and each of the digits are different, how many possible codes are there?
Answer Choices: (A) 6,040 (B) 6,840 (C) 6,240 (D) 5,040 (E) 4,069<|im_end|>
<|im_start|>assistant
<think>
</think>
Code consists of 4 digits and no digit i... | 70,944 |
<|im_start|>user
When dissolved in water, what do strong acids transfer to the solvent completely?
Answer choice: (A) acidic neutrons (B) acidic protons (C) acidic electrons (D) acidic proteins<|im_end|>
<|im_start|>assistant
<think>
</think>
Strong acids completely transfer their acidic protons to the solvent when d... | 5,750 |
<|im_start|>user
The electron beam scans the surface of the sample, usually coated with a thin film of which metal?
Answer choice: (A) platinum (B) gold (C) silver (D) copper<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 4,246 |
<|im_start|>user
Ajit has a certain average for 9 innings. In the tenth innings, he scores 100 runs thereby increasing his average by 8 runs. His new average is:
Answer Choices: (A) 20 (B) 21 (C) 28 (D) 32 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution: Let Ajit's average be x for 9 innings. So, A... | 11,665 |
<|im_start|>user
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective
Answer Choices: (A) 1/128 (B) 1/121 (C) 1/120 (D) 1/123 (E) 1/126<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Out of nine, five are ... | 37,743 |
<|im_start|>user
When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 14?
Answer Choices: (A) 7 (B) 21 (C) 34 (D) 8 (E) 55<|im_end|>
<|im_start|>assistant
<think>
</think>
So the number given is N = 143Q + 45
If this numbe... | 93,236 |
<|im_start|>user
A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number W of people surveyed by the company?
Answer Choices: (A) 46 (B) 80 (C)... | 47,554 |
<|im_start|>user
How many types of tissue are found in animals?
Answer choice: (A) four (B) six (C) three (D) Ten<|im_end|>
<|im_start|>assistant
<think>
</think>
Muscle tissue is one of the four types of tissue found in animals. There are three different types of muscle in the body ( Figure below ):.
The answer is A... | 4,168 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Words change in meaning when speakers begin using them in new ways. For example, the word peruse once only meant to examine in detail, but it's now also commonly used to mean to look through in a casual manner.
When a word c... | 447 |
<|im_start|>user
What is the place value of 2 in the numeral 2734?
Answer Choices: (A) 4500 (B) 5000 (C) 2000 (D) 8000 (E) 8400<|im_end|>
<|im_start|>assistant
<think>
</think>
Option 'C'
2 * 1000 = 2000
The answer is C<|endoftext|> | 50,239 |
<|im_start|>user
Yogurt is made with milk fermented with what?
Answer choice: (A) bacteria (B) viruses (C) pathogens (D) disease<|im_end|>
<|im_start|>assistant
<think>
</think>
Describe hurricane formation and the damage they cause.
The answer is A<|endoftext|> | 6,593 |
<|im_start|>user
A volume of 11248 l water is in a container of sphere. How many hemisphere of volume 4l each will be required to transfer all the water into the small hemispheres?
Answer Choices: (A) 2812 (B) 8231 (C) 2734 (D) 4222 (E) 4254<|im_end|>
<|im_start|>assistant
<think>
</think>
a volume of 4l can be kept ... | 66,732 |
<|im_start|>user
If n is a prime number and n ≠ 3, which of the following could be the remainder when 100! + n is divided by 3?
I. 1
II. 0
III. 2
Answer Choices: (A) II only (B) III only (C) I and II only (D) II and III only (E) I and III only<|im_end|>
<|im_start|>assistant
<think>
</think>
Notice that we are told t... | 94,843 |
<|im_start|>user
The manufacturing cost of a shoe is Rs.210 and the transportation lost is Rs.500 for 100 shoes. What will be the selling price if it is sold at 20% gains
Answer Choices: (A) s 222 (B) s 216 (C) s 258 (D) s 210 (E) s 217<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Total cost of a wa... | 88,427 |
<|im_start|>user
A cistern is normally filled in 6 hrs,but takes 2 hrs longer to fill because of a leak on its bottom,if Cistern is full ,how much time citern would empty?
Answer Choices: (A) 24 hours (B) 20 hours (C) 30 hours (D) 40 hours (E) 50 hours<|im_end|>
<|im_start|>assistant
<think>
</think>
If leakage/hour=... | 86,146 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
Alliteration is the repetition of sounds at the beginning of nearby words.
What a lucky little l... | 2,732 |
<|im_start|>user
Find a sum for first 8 prime number'ss?
Answer Choices: (A) 25 (B) 28 (C) 77 (D) 60 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
Required sum = (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19) = 77
Note: 1 is not a prime number
Option C
The answer is C<|endoftext|> | 20,540 |
<|im_start|>user
Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 180 grams of water?
Answer Choices: (A) 160 (B) 72 (C) 112 (D) 128 (E) 142<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
We a... | 34,566 |
<|im_start|>user
When positive integer N is divided by positive integer J, the remainder is 18. If N/J = 134.08, what is value of J?
Answer Choices: (A) 22 (B) 56 (C) 78 (D) 112 (E) 225<|im_end|>
<|im_start|>assistant
<think>
</think>
When a number is divided by another number, we can represent it as : Dividend = Quo... | 31,857 |
<|im_start|>user
How many times are the hands of a clock at right angle in a day?
Answer Choices: (A) 22 (B) 24 (C) 44 (D) 48 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
EXPLANATION
In 12 hours, they are at right angles 22 times.
In 24 hours, they are at right angles 44 times.
The answer is C<|endoftext... | 97,459 |
<|im_start|>user
What is the maximum number of pieces that a circular pie can be divided into by four linear cuts?
Answer Choices: (A) 6 (B) 8 (C) 9 (D) 10 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Such kind of combinations problems are always about a pattern recognition.
Maximum pieces:
0 line gives 1 ... | 55,595 |
<|im_start|>user
Tea worth Rs.126 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs.163 per kg, the price of the third variety per kg will be
Answer Choices: (A) Rs.169.50 (B) Rs.1700 (C) Rs. 185.50 (D) Rs. 180 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Si... | 27,275 |
<|im_start|>user
3x^2-6x+3 = 0 Find the above equation find the value of x
Answer Choices: (A) 0 (B) 1 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
a = 3, b = -6, c = 3
x1,2 = (6 ± √( (-6)2 - 4×3×3)) / (2×3) = (6 ± √(36-36)) / 6 = (6 ± 0) / 6
x1 = x2 = 1
B
The answer is B<|endoftext|> | 50,831 |
<|im_start|>user
If X and Y are sets of integers, X # Y denotes the set of integers that belong to set X or set Y, but not both. If X consists of 12 integers, Y consists of 18 integers, and 6 of the integers are in both X and Y, then X # Y consists of how many integers?
Answer Choices: (A) 6 (B) 16 (C) 18 (D) 30 (E) 17... | 68,180 |
<|im_start|>user
The structures of both trifluoramine and hydroxylamine are similar to that of what?
Answer choice: (A) hydrogen (B) magnesium (C) ammonia (D) nitrogen<|im_end|>
<|im_start|>assistant
<think>
</think>
The structures of both trifluoramine and hydroxylamine are similar to that of ammonia.
The answer is ... | 11,252 |
<|im_start|>user
What is the ratio of y to x if (x + 3y) / ( x - y) = 3/5?
Answer Choices: (A) -1/9 (B) -5/3 (C) -1/15 (D) 3/5 (E) 15/1<|im_end|>
<|im_start|>assistant
<think>
</think>
Solving for y/x gives, -1/9 (A)
The answer is A<|endoftext|> | 82,479 |
<|im_start|>user
What is the 8th digit to the right of the decimal point in the decimal equivalent of 73/11?
Answer Choices: (A) 1 (B) 3 (C) 4 (D) 5 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
73/11 = 6.6363....
63 is non-terminating repeating decimal.
The 8th digit to the right of decimal point will be 3.... | 3,537 |
<|im_start|>user
At 1:00 pm, a truck left city P and headed toward City Q at a constant speed of 38 km/h. One hour later, a car left City Q and headed toward City P along the same road at a constant speed of 42 km/h. If the distance between City P and City Q is 378 km, at what time will the truck and the car meet each ... | 7,949 |
<|im_start|>user
How many liters of water must be evaporated from 50 liters of a 3-percent sugar solution to get a 3-percent solution?
Answer Choices: (A) 35 (B) 33 1/3 (C) 27 (D) 16 2/3 (E) 19.5<|im_end|>
<|im_start|>assistant
<think>
</think>
How many liters of water must be evaporated from 50 liters of a 3-percent... | 541 |
<|im_start|>user
If '+' means ' ÷ ', '-' means '×', '' means '-'' means '+', then (280 + 1020) - 86 is -------.
Answer Choices: (A) 70 (B) 112 (C) -392 (D) 58 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
(280/1020)*86
14/51 * 86
1204/51
Getting a fraction...
So none...
The answer is E<|endoftext|> | 58,591 |
<|im_start|>user
Which is greater 2/3 or 3/4?
Answer Choices: (A) 2/3 (B) 3/4 (C) both are equal (D) Cannot be determined (E) both are equal and equal to 1<|im_end|>
<|im_start|>assistant
<think>
</think>
To know which is greater 2/3 or 3/4
= Multiply both by 4*3 = 12 ( Product of denominator)
= 2/3 * 12 and 3/4 * 12... | 6,172 |
<|im_start|>user
In what part of the body do escherichia coli bacteria live?
Answer choice: (A) your brain (B) your kidneys (C) your intestines (D) your urethra<|im_end|>
<|im_start|>assistant
<think>
</think>
There are many different types of symbiotic interactions between organisms. Clockwise from top left: Escheri... | 6,800 |
<|im_start|>user
On what part of bones would you expect to find cartilage?
Answer choice: (A) interior (B) end (C) marrow (D) exterior<|im_end|>
<|im_start|>assistant
<think>
</think>
The adult human skeleton has 206 bones, some of which are named below ( Figure below ). Bones are made up of living tissue. They conta... | 2,847 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All organisms have pieces of hereditary material called genes, which are passed from parents to offspring. Genes contain instructions for building the parts of an organism. An organism's genes affect its observable traits, i... | 3,087 |
<|im_start|>user
Which number comes next in the series
5 12 24 36 ?
Answer Choices: (A) 52 (B) 55 (C) 60 (D) 120 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
A
52
sum of consecutive prime numbers
(2+3 , 5+7 , 11+13 , 17+19 , 23+29)
The answer is A<|endoftext|> | 44,835 |
<|im_start|>user
A list of measurements in increasing order is 4, 5, 6, 8, 15 and x. If the median of these measurements is 3/4 times their arithmetic mean, what is the value of x?
Answer Choices: (A) 16 (B) 18 (C) 20 (D) 22 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
The median is (6+8)/2 = 7
The mean is... | 96,627 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Before you decide to do something, it is often helpful to list costs and benefits.
Costs are what you give up or spend when you decide to do something. Costs involve giving up things that you want or need.
Benefits are what ... | 2,792 |
<|im_start|>user
What will come in place of the x in the following Number series? 177147 ,59049 ,19683 ,6561, 2187 , x
Answer Choices: (A) 727 (B) 729 (C) 726 (D) 722 (E) 723<|im_end|>
<|im_start|>assistant
<think>
</think>
Go on dividing by 3 to the next number
The answer is B<|endoftext|> | 59,211 |
<|im_start|>user
Saleem bought 4 baskets with the average cost of $4. If Saleem also buys the fifth basket with the price of $ 8, what is the average (arithmetic mean) price of those 5 baskets?
Answer Choices: (A) $4.50 (B) $6.00 (C) $4.00 (D) $5.50 (E) $4.80<|im_end|>
<|im_start|>assistant
<think>
</think>
4 baskets... | 40,288 |
<|im_start|>user
When integer K is divided by 15, the remainder is 5. Which of the following has a remainder of 10 when divided by 15 ?
I. 3K
II. 4K+10
III. 5K
IV. 2K
V .6K
II. 5n
III. 4n + 10
Answer Choices: (A) II (B) I (C) III (D) V (E) IV<|im_end|>
<|im_start|>assistant
<think>
</think>
C
The answer is C<|endofte... | 87,306 |
<|im_start|>user
The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 14, how many more dollars, in terms of x, will it cost per person?
Answer Choices: (A) x/6 (B) x/16 (C) x/40 (D) 3x/40 (E) 3x/80<|im_end|>
<|... | 81,664 |
<|im_start|>user
What is the term for the relationship in which one species benefits while the other species is harmed?
Answer choice: (A) combative relationship (B) commensal relationship (C) symbiotic relationship (D) parasitic relationship<|im_end|>
<|im_start|>assistant
<think>
</think>
symbiotic relationship in ... | 3,448 |
<|im_start|>user
The Simplastic language has only 2 unique values and 3 unique consonants. Every noun in Simplastic has the structure CVCVC, where C stands for a consonant and V stands for a vowel. How many different nouns are possible in Simplastic?
Answer Choices: (A) 9 (B) 12 (C) 36 (D) 72 (E) 108<|im_end|>
<|im_sta... | 318 |
<|im_start|>user
A certain sum of money at simple interest amounted Rs.840 in 10 years at 3% per annum, find the sum?
Answer Choices: (A) 287 (B) 276 (C) 279 (D) 646 (E) 370<|im_end|>
<|im_start|>assistant
<think>
</think>
840 = P [1 + (10*3)/100]
P = 646
The answer is D<|endoftext|> | 80,335 |
<|im_start|>user
Prokaryotic organisms, like bacteria, reproduce through what process, where they grow and divide in half?
Answer choice: (A) binary fission (B) symbiotic fission (C) singular fission (D) multiple fission<|im_end|>
<|im_start|>assistant
<think>
</think>
Prokaryotic organisms, like bacteria. Bacteria r... | 6,185 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A letter starts with a greeting and ends with a closing. For each one, capitalize the first word and end with a comma. You should also capitalize proper nouns, such as Aunt Sue.
Dear Aunt Sue,
I'm glad you could come to my p... | 626 |
<|im_start|>user
When positive integer n is divided by 3, the remainder is 1. When n is divided by 8, the remainder is 5. What is the smallest positive integer p, such that (n + p) is a multiple of 15?
Answer Choices: (A) 1 (B) 2 (C) 5 (D) 19 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
When positive integ... | 4,522 |
<|im_start|>user
What is the sum of all remainders obtained when the first 300 natural numbers are divided by 9?
Answer Choices: (A) 397 (B) 401 (C) 403 (D) 405 (E) 399<|im_end|>
<|im_start|>assistant
<think>
</think>
A positive integer can give only the following 9 remainders when divided by 9: 1, 2, 3, 4, 5, 6, 7, ... | 18,774 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Which organ supports the body's weight?
Answer Choices: (A) skeleton (B) stomach (C) lungs<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 4,705 |
<|im_start|>user
10 play kabadi, 30 play kho kho only, 5 play both gmaes. Then how many in total?
Answer Choices: (A) 30 (B) 35 (C) 38 (D) 40 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
10 play kabadi =>n(A)=10,
5 play both gmaes.=> n(AnB)=5
30 play kho kho only,=>n(B)=n(B only)+n(AnB)=30+5=35
Total => n(... | 33,106 |
<|im_start|>user
In a class of 150 students 55 speak English;85 speak Telugu and 30 speak neither English nor Telugu
How many speak both English and Telugu?
Answer Choices: (A) 10 (B) 20 (C) 30 (D) 40 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
Total=150
English=55
Telugu=85
none/ neither English nor Telu... | 87,247 |
<|im_start|>user
If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in?
Answer Choices: (A) 2 days (B) 3 days (C) 5 days (D) 7 days (E) 9 days<|im_end|>
<|im_start|>assistant
<think>
</think>
That is, 1 person can do one time of the work in 3 days.
Therefore, 7 per... | 8,758 |
<|im_start|>user
What is the name of the process by which plants use energy from sunlight to synthesize carbohydrates?
Answer choice: (A) osmosis (B) photosynthesis (C) cellular respiration (D) pollination<|im_end|>
<|im_start|>assistant
<think>
</think>
Photosynthesis is the process by which plants use energy from s... | 2,440 |
<|im_start|>user
The sum of four consecutive even numbers is 84. What would be the largest number?
Answer Choices: (A) 33 (B) 88 (C) 24 (D) 123 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the four consecutive even numbers be 2(x - 2), 2(x - 1), 2x, 2(x + 1)
Their sum = 8x - 4 = 84 => x = 11
Smallest n... | 37,122 |
<|im_start|>user
A train crosses a post in 15 seconds and a platform 100 m long in 25 seconds. Its length is
Answer Choices: (A) 75 (B) 100 (C) 125 (D) 175 (E) 150<|im_end|>
<|im_start|>assistant
<think>
</think>
Assume x is the length of the train and v is the speed
x/v = 15 => v = x/15
(x+100)/v = 25 => v = (x+100)... | 56,637 |
<|im_start|>user
In a camp, there is a meal for 110 men or 180 children. If 145 children have taken the meal, how many men will be catered to with remaining meal?
Answer Choices: (A) 20 (B) 30 (C) 50 (D) 21 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
There is a meal for 180 children. 145 children have tak... | 31,292 |
<|im_start|>user
What is the name of the temporary organ that begins to form from the trophoblast layer of cells shortly after implantation?
Answer choice: (A) uterus (B) embryo (C) placenta (D) appendix<|im_end|>
<|im_start|>assistant
<think>
</think>
The placenta is a temporary organ that begins to form from the tr... | 6,964 |
<|im_start|>user
If the 5th date of a month is Tuesday, what date will be 3 days after the 3rd Friday in the month?
Answer Choices: (A) 17 (B) 18 (C) 20 (D) 22 (E) 33<|im_end|>
<|im_start|>assistant
<think>
</think>
B
18
5th date of a month is Tuesday
Friday will be on = 5 + 3
= 8th of a month
1st Friday is on 1 st o... | 1,831 |
<|im_start|>user
A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss?
An... | 73,629 |
<|im_start|>user
In the fifth grade at Parkway elementary school there are 420 students. 296 students are boys and 250 students are playing soccer. 86% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?
Answer Choices: (A) 69. (B) 73. (C) 81 (D) 91 (E) 89<|im_end... | 6,486 |
<|im_start|>user
A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits $ 1600 each in 1st month and 7th month of a year. At the end of the year, the amount he would have gained by way of interest is?
Answer Choices: (A) 121 (B) 50 (C) 100 (D) 160 (E) 80<|im_end|>
<|im_start|>assistant
... | 96,448 |
<|im_start|>user
Cancers derived from epithelial cells are referred to as what?
Answer choice: (A) nodules (B) carcinomas (C) caricatures (D) adenomas<|im_end|>
<|im_start|>assistant
<think>
</think>
Tissues and Cancer Cancer is a generic term for many diseases in which cells escape regulatory signals. Uncontrolled g... | 1,550 |
<|im_start|>user
Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Answer Choices: (A) 60 (B) 88 (C) 77 (D) 65 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the speed of the slower train be x... | 33,210 |
<|im_start|>user
A and B are two multiples of 14, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 14 multiples of 14, how many multiples of 7 are there in Q?
Answer Choices: (A) 26 (B) 27 (C) 28 (D) 29 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
Halfway between the multi... | 92,438 |
<|im_start|>user
A train running at the speed of 40 km/hr crosses a pole in 9 seconds. What is the length of the train?
Answer Choices: (A) 120 metres (B) 180 metres (C) 324 metres (D) 150 metres (E) 100 meters<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed=40 x5/18m/sec=100/9 m/sec.
Length of the train = (Sp... | 20,440 |
<|im_start|>user
A can run 2 km distance in 2 min 20 seconds, while B can run this distance in 3 min 5 sec. . By how much distance can A beat B?
Answer Choices: (A) 900 m (B) 500 m (C) 120 m (D) 180 m (E) 190 m<|im_end|>
<|im_start|>assistant
<think>
</think>
A takes time 2.20 minutes=140sec
B takes time 3 minutes=18... | 5,511 |
<|im_start|>user
In covering a distance of 90 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:
Answer Choices: (A) 5 km/h (B) 8 km/h (C) 10 km/h (D) 15 km/h (E) 25 km/h<|im_end|>
<|im_start|>assistant
<think>
</think>
Let A's speed be X km/hr.
Then, 90/x - ... | 45,841 |
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