text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
Line Y has the equation 3x + y = 7. Which of the following lines is perpendicular to Line Y?
Answer Choices: (A) y = 3x + 4 (B) y = –3x – 6 (C) y = (1/3) x – 1 (D) y = (–1/3) x + 2 (E) y = (–7/3) x – 5<|im_end|>
<|im_start|>assistant
<think>
</think>
I first rewrote the equation in the standard ... | 38,482 |
<|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... | 2,868 |
<|im_start|>user
What is the third male reprodutive structure after the penis and testes?
Answer choice: (A) epididymis (B) clitoris (C) scrotum (D) anus<|im_end|>
<|im_start|>assistant
<think>
</think>
Male reproductive structures include the penis, testes, and epididymis.
The answer is A<|endoftext|> | 813 |
<|im_start|>user
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Answer Choices: (A) 245 (B) 225 (C) 200 (D) 250 (E) 300<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x... | 86,480 |
<|im_start|>user
Paul's income is 40% less than Rex's income, Quentin's income is 20% less than Paul's income, and Sam's income is 40% less than Paul's income. If Rex gave 60% of his income to Sam and 40% of his income to Quentin, Quentin's new income would be what fraction of Sam's new income?
Answer Choices: (A) 11/1... | 14,611 |
<|im_start|>user
Two pipes A and B can separately fill a tank in 12 and 20 minutes respectively. A third pipe C can drain off 45 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank?
Answer Choices: (A) 542 (B) 540 (C) 675 (D) 829 (E) 279<|im_en... | 59,837 |
<|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... | 416 |
<|im_start|>user
The letters of the word 'SARITI' are written in all possible orders and these words are written in alphabetical order. Then what is the rank of the word 'SURITI'
Answer Choices: (A) - 235 (B) - 245 (C) - 307 (D) - 315 (E) - 275<|im_end|>
<|im_start|>assistant
<think>
</think>
Total Number of Words = ... | 89,845 |
<|im_start|>user
A family pays $800 per year for an insurance plan that pays 70 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.
Answer Choic... | 49,337 |
<|im_start|>user
The water cycle involves movement of water between air and what?
Answer choice: (A) land (B) tree (C) animals (D) air<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 453 |
<|im_start|>user
x and y are integers. x + y < 11 , and x > 6. What is the smallest possible value of x - y ?
Answer Choices: (A) 1 (B) 2 (C) 4 (D) -2 (E) -4<|im_end|>
<|im_start|>assistant
<think>
</think>
Because x & y are integers, the two equations can be simply written as :
x+y<= 10 --- eq. 1
x>= 7 ---- eq. 2
Fo... | 3,439 |
<|im_start|>user
A train passes a station platform in 28 seconds and a man standing on the platform in 10 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Answer Choices: (A) 270 (B) 277 (C) 240 (D) 88 (E) 112<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = [54 * 5/18] m/se... | 15,812 |
<|im_start|>user
Given f(x) = 3x – 5, for what value of x does 2*[f(x)] – 1 = f(3x – 6)
Answer Choices: (A) 0 (B) 4 (C) 6 (D) 7 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
explanations
We have the function f(x) = 3x – 5, and we want to some sophisticated algebra with it. Let’s look at the two sides of the... | 19,844 |
<|im_start|>user
If m is an integer greater than 6, which of the following must be divisible by 3?
Answer Choices: (A) m (m+2) (m-1) (B) m (m+1) (m-4) (C) m (m+3) (m-5) (D) m (m+4) (m-2) (E) m (m+5) (m-6) <|im_end|>
<|im_start|>assistant
<think>
</think>
anything in the form of (m-1) (m) (m+1) is divisible b... | 62,563 |
<|im_start|>user
There are 13person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
Answer Choices: (A) 4!*2! (B) 7!*2! (C) 6!*1! (D) 10!*2! (E) 5!*1!<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 80,195 |
<|im_start|>user
Vijay spends 40% of his monthly income on household items, 20% of his monthly income on buying cloths, 10% of his monthly income on medicines and saves the remaining amount which is Rs. 6000. Find his monthly income.
Answer Choices: (A) Rs. 40000 (B) Rs. 20000 (C) Rs. 50000 (D) Rs. 45000 (E) None of th... | 4,206 |
<|im_start|>user
Salesperson A's compensation for any week is $210 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation... | 77,839 |
<|im_start|>user
A new savings account offers 6 percent annual interest compounded every 6 months. What would be the total balance in an account after 1 year, if the initial amount in the account were $6000?
Answer Choices: (A) $80.00 (B) $84.40 (C) $360.00 (D) $6,360.00 (E) $6,365.40<|im_end|>
<|im_start|>assistant
<t... | 11,297 |
<|im_start|>user
They had demonstrated that particles smaller than bacteria cause what?
Answer choice: (A) blood (B) flight (C) disease (D) damage<|im_end|>
<|im_start|>assistant
<think>
</think>
Viruses are so small that they can be seen only with an electron microscope. Before electron microscopes were invented, sc... | 10,984 |
<|im_start|>user
The speed of a train is 70 kmph. What is the distance covered by it in 10 minutes?
Answer Choices: (A) 10.66 kmph (B) 11.66 kmph (C) 21.66 kmph (D) 12.66 kmph (E) 11.96 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
70 * 10/60 = 11.66 kmph
The answer is B<|endoftext|> | 26,990 |
<|im_start|>user
Three friends were having a party and they ordered garlic bread sticks from a nearby restaurant. Upon arrival, they divided the number of sticks among them equally. After each one of them have had four breadsticks, the total number of breadsticks that remained were equal to the breadsticks that each on... | 44,986 |
<|im_start|>user
5years ago, the age of Anand was one-forth of the age of Bala at that time. The present age of Bala is 13 years more than the present age of Anand. Find the present age of Anand?
Answer Choices: (A) 11 (B) 21 (C) 19 (D) 22 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the p... | 17,072 |
<|im_start|>user
5301 x 13 =?
Answer Choices: (A) 89136 (B) 31986 (C) 68910 (D) 53113 (E) 68913<|im_end|>
<|im_start|>assistant
<think>
</think>
Append 0 before and after: 053010
Calculation:
1 x 3 + 0 = 3 (take 3 as ones digit of the product)
0 x 3 + 1 = 1 (take 1 tens digit of the product)
3 x 3 + 0 = 9 (take 9 hun... | 96,361 |
<|im_start|>user
A project manager needs to select a group of 4 people from a total of 4 men and 4 women. How many possible group combinations exist such that no group has all men or all women?
Answer Choices: (A) 72 (B) 68 (C) 74 (D) 82 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
First list all the possi... | 35,729 |
<|im_start|>user
A bag contains 8 red and 4 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Answer Choices: (A) 4/7 (B) 2/3 (C) 5/8 (D) 1/4 (E) 5/7<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of balls = 8+4 = 12
number of white balls = 8
Probability = ... | 67,420 |
<|im_start|>user
-24x29+36=?
Answer Choices: (A) 2436 (B) 2801 (C) -2801 (D) -660 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
Given exp.=-24x(30-1)+36
=-(24x30)+24+36
=-720+60
=-660
The answer is D<|endoftext|> | 65,608 |
<|im_start|>user
How many different ways can 2 students be seated in a row of 5 desks, so that there is always at least one empty desk between the students?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 6 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
6 ways to seat the students:
with two empty seats between
1 ... | 38,199 |
<|im_start|>user
A bookseller has two display windows. She plans to display 4 new fiction books in the left window, and 3 new non-fiction books in the right window. Assuming she can put the four fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will ther... | 27,039 |
<|im_start|>user
What could be the range of a set consisting of odd multiples of 9?
Answer Choices: (A) 21 (B) 24 (C) 35 (D) 72 (E) 70<|im_end|>
<|im_start|>assistant
<think>
</think>
Range = the difference between the greatest and the smallest numbers in the sequence. Our sequence is odd and is a multiple of 7. Ever... | 66,125 |
<|im_start|>user
On the first day of her vacation, Louisa traveled 200 miles. On the second day, traveling at the same average speed, she traveled 350 miles. If the 200-mile trip took 3 hours less than the 350-mile trip, what was the average speed, in miles per hour?
Answer Choices: (A) 45 (B) 55 (C) 60 (D) 65 (E) 50<|... | 80,096 |
<|im_start|>user
In the x-y plane, the area of the region bounded by the graph of |x+y| + |x-y| = 2 is
Answer Choices: (A) 1 (B) 12 (C) 16 (D) 20 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
I've never seen such kind of question in GMAT before.
OK there can be 4 cases:
|x+y| + |x-y| = 2
A. x+y+x-y = 2 --> ... | 68,825 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down from biological parents to their offspring through genes. Gen... | 3,612 |
<|im_start|>user
Find the odd man out
4, 9, 16, 25, 36, 50, 64, 81
Answer Choices: (A) 4 (B) 9 (C) 25 (D) 36 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
as 50 is only odd number.
The answer is E<|endoftext|> | 30,939 |
<|im_start|>user
The principal that amounts to Rs. 4893 in 3 years at 6 1/4 % per annum C.I. compounded annually, is?
Answer Choices: (A) s. 3096 (B) s. 4076 (C) s. 4085 (D) s. 4096 (E) s. 5096<|im_end|>
<|im_start|>assistant
<think>
</think>
Principal = [4913 / (1 + 25/(4 * 100))3]
= 4893 * 16/17 * 16/17 * 16/17 = R... | 10,200 |
<|im_start|>user
Two trains 110 meters and 140 meters long are running in the same direction with speeds of 102 km/hr, 66 km/hr. In how much time will the first train cross the second
Answer Choices: (A) 22 sec (B) 25 sec (C) 27 sec (D) 23 sec (E) 30 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
R... | 57,820 |
<|im_start|>user
Three-twentieths of the members of a social club are retirees who are also bridge players, six-twentieths of the members are retirees, and one-half of the members are bridge players. If 130 of the members are neither retirees nor bridge players, what is the total number of members in the social club?
A... | 26,660 |
<|im_start|>user
Out of a total 85 children playing badminton or table tennis or both, total number of girls in the group is 70% of the total number of boys in the group. The number of boys playing only badminton is 50% of the number of boys and the total number of boys playing badminton is 60% of the total number of b... | 79,435 |
<|im_start|>user
The roughness of interacting surfaces and the magnitude of force pushing one object onto another are two factors related to what force?
Answer choice: (A) energy (B) tension (C) temperature (D) friction<|im_end|>
<|im_start|>assistant
<think>
</think>
The force of friction between these two blocks is... | 7,931 |
<|im_start|>user
There are 450 birds at a small zoo. The number of birds is 5 times the number of all the other animals combined. How many more birds are there than non bird animals at the zoo?
Answer Choices: (A) 400 (B) 360 (C) 270 (D) 180 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
Total birds = 450 = ... | 24,055 |
<|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... | 4,345 |
<|im_start|>user
Micheal and Adam can do together a piece of work in 20 days. After they have worked together for 14 days Micheal stops and Adam completes the remaining work in 10 days. In how many days Micheal complete the work separately.
Answer Choices: (A) 50 days (B) 100 days (C) 120 days (D) 110 days (E) 90 days<... | 72,894 |
<|im_start|>user
What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 7, 24 and 25?
Answer Choices: (A) 2.5 (B) 6.5 (C) 12.5 (D) 14 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Some of pyhtagron triplets we need to keep it in mind.
Like {( 2,3,5) , ( 5,12,13) ,(... | 93,602 |
<|im_start|>user
Newly duplicated chromosomes are divided into two daughter nuclei during what stage?
Answer choice: (A) mitosis (B) meiosis (C) symphysis (D) prophase<|im_end|>
<|im_start|>assistant
<think>
</think>
During mitosis, the newly duplicated chromosomes are divided into two daughter nuclei.
The answer is ... | 2,029 |
<|im_start|>user
Electron configurations are a shorthand method of indicating what subshells electrons occupy in these?
Answer choice: (A) molecules (B) solutions (C) atoms (D) acids<|im_end|>
<|im_start|>assistant
<think>
</think>
Electron configurations are a shorthand method of indicating what subshells electrons ... | 7,724 |
<|im_start|>user
A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?
Answer Choices: (A) 2288 (B) 2772 (C) 100 (D) 2771 (E) 2981<|im_end|>
<|im_start|>assistant
<think>
</think>
MP = 100
CP = 75
SP = 150
------
75 ---- 75
100 ---- ? => 100%
The answer i... | 84,134 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A fact is something that can be proved to be true. Facts can be proved by observing, measuring, or studying information.
The flag of the United States has 13 stripes.
This is a fact. It can be proved by looking at the flag a... | 2,329 |
<|im_start|>user
Where does chemical digestion mainly occur?
Answer choice: (A) apendix (B) pancreas (C) liver (D) small intestine<|im_end|>
<|im_start|>assistant
<think>
</think>
Digestion consists of mechanical and chemical digestion. Mechanical digestion occurs in the mouth and stomach. Chemical digestion occurs m... | 10,893 |
<|im_start|>user
I. c^2 - 9c + 20 = 0,
II. 2d^2 - 5d- 12 = 0 to solve both the equations to find the values of c and d?
Answer Choices: (A) c< d (B) c ≤ d (C) the relationship between c and d cannot be established (D) c> d (E) a ≥ b<|im_end|>
<|im_start|>assistant
<think>
</think>
I. (c- 5)(c- 4) = 0
=> c= 5, 4
II. (... | 83,076 |
<|im_start|>user
If difference between compound interest and simple interest on a sum at 5% P.a. for 2 years is Rs.60, then what is the sum?
Answer Choices: (A) Rs.8000 (B) Rs.4000 (C) Rs.5000 (D) Rs.6000 (E) Rs.24000<|im_end|>
<|im_start|>assistant
<think>
</think>
C.I-S.I=60
SI=(x*2*5)/100=x/10
CI={x*(1+5/100)^2-x}... | 79,313 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down from biological parents to their offspring through genes. Gen... | 5,794 |
<|im_start|>user
If N is the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case.What is the sum of the digits of N ?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 5 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305)
= ... | 53,232 |
<|im_start|>user
If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 45. By how much do the two digits differ?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that (10a + b) - (10b + a) = 45 --> 9a - 9b =... | 72,923 |
<|im_start|>user
In humans, a zygote has how many chromosomes?
Answer choice: (A) 36 (B) 42 (C) 23 (D) 46<|im_end|>
<|im_start|>assistant
<think>
</think>
Upon fertilization a diploid zygote is formed. In humans, a zygote has 46 chromosomes, 23 inherited from each parent. The gametes, sperm and eggs, are haploid cell... | 8,368 |
<|im_start|>user
Set X consists of 10 integers and has median of 30 and a range of 30. What is the value of the greatest possible integer that can be present in the set?
Answer Choices: (A) 32 (B) 37 (C) C.40 (D) 43 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
Note that both median and range do not restric... | 37,421 |
<|im_start|>user
Taylor is making a bracelet. He Starts with 4 blue knots, 6 red knots, and 1 yellow knots, in that order, and repeats the pattern until there is no more string. If the last Knot is yellow which of the following could be the total number of knots on the bracelet.
Answer Choices: (A) 89 (B) 90 (C) 95 (D)... | 64,865 |
<|im_start|>user
Nine highschool girls gather at the gym for a game of mini-foot ball. Three teams of 3 people each will be created. How many ways are there to create these 3 teams?
Answer Choices: (A) 27 (B) 51 (C) 45 (D) 175 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Arrange the 6 boys in a straight li... | 94,789 |
<|im_start|>user
There are two circles, one circle is inscribed and another circle is circumscribed over a square. What is the ratio of area of inner to outer circle?
Answer Choices: (A) 1:2 (B) 2:3 (C) 2:1 (D) 1:4 (E) 1:3<|im_end|>
<|im_start|>assistant
<think>
</think>
For simplicity consider side of the square as ... | 28,562 |
<|im_start|>user
Because the human body is about 70% water by mass, and liquid water has high specific heat, a great deal of what is required to change its temperature?
Answer choice: (A) energy (B) power (C) work (D) digestion<|im_end|>
<|im_start|>assistant
<think>
</think>
The high specific heat of liquid water ha... | 10,834 |
<|im_start|>user
a box contains 12 marbels of 3 different colours green,yellow and blue 4each,if you were to close your eyes and pick them at random how many marbels must you take out to be sure that there are at least two of each colour among the marbels you picked out?
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8<|i... | 56,840 |
<|im_start|>user
In a certain match all the teams were to play with each other. If there are 7 teams, how many matches will have to be played?
Answer Choices: (A) 40 (B) 21 (C) 24 (D) 25 (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
7c2
=21
The answer is B<|endoftext|> | 17,018 |
<|im_start|>user
If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/16, then the reciprocal of n must be
Answer Choices: (A) Less than -4 (B) Between -1 and -1/4 (C) Between -1/4 and 0 (D) Between 0 and 1/4 (E) Greater than 4<|im_end|>
<|im_start|>assistant
<think>
</thi... | 77,376 |
<|im_start|>user
A reduction of 15% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Answer Choices: (A) 12 (B) 16 (C) 24 (D) 28 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
800*(15/100) = 120 ---- 5
? ---- 1 => Rs.24
The answer is C<|endoftext|> | 3,965 |
<|im_start|>user
Michael cashed a check for $1,270 and received only $10 and $50 bills in return. During the course of a day, he used 15 bills and then lost the rest of the money. If the number of $10 bills used was either one more or one less than the number of $50 bills used, what is the minimum possible amount of mo... | 66,059 |
<|im_start|>user
If m is an integer such that (-2)^2m=2^(15-m) then m=?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
(-2)^(2m) = 4^m
and
2^(15-m) = 4^((15-m)/2)
Therefore,
m = (15-m)/2
2m = 15 - m
m = 5
The answer is D<|endoftext|> | 80,013 |
<|im_start|>user
Find the value of (875 233/899) × 899
Answer Choices: (A) 786600 (B) 786650 (C) 786700 (D) 786750 (E) 786858<|im_end|>
<|im_start|>assistant
<think>
</think>
(875 233/899) × 899
(786625 + 233)/899 × 899
786858/899 × 899
786858
E
The answer is E<|endoftext|> | 41,982 |
<|im_start|>user
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Answer Choices: (A) 359m (B) 3320m (C) 350m (D) 3598m (E) 310m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the leng... | 63,573 |
<|im_start|>user
A charity is raising £1000 for disabled children. If it spends £20 for every £100 raised, how much money do they need to raise to reach the goal?
Answer Choices: (A) A - 1200 (B) A - 1200 (C) A - 1200 (D) D - 12 (E) 155<|im_end|>
<|im_start|>assistant
<think>
</think>
His overall steps are +6
take... | 61,525 |
<|im_start|>user
If logX/(a2 + ab + b2) = log Y/(b2 + bc + c2) = logZ/(c2 + ca + a2), then Xa - b.Yb - c. Zc - a =?
Answer Choices: (A) 0 (B) -1 (C) 1 (D) 2 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
Each ratio = k = log X = k(a2 + ab + b2)
=> (a - b)logX = k(a3 - b3)
Similarly, Yb - c = ek(b3 - c3), Zc -... | 62,569 |
<|im_start|>user
If the simple interest on a certain sum of money for 8 years is one–fifth of the sum, then the rate of interest per annum is
Answer Choices: (A) 4.1% (B) 7% (C) 2.5% (D) 2.8% (E) 3%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the Principal(P) be x
Then, Simple Interest(SI) = x/5... | 74,870 |
<|im_start|>user
The ratio, by weight, of coffee to sugar to water in a pot of coffee is 5:2:20. The ratio is then altered so that the ratio of coffee to sugar is halved while the ratio of coffee to water is tripled. If the altered pot of coffee contains 8 grams of sugar, how many grams of water does it contain after a... | 83,679 |
<|im_start|>user
Bill downloads the movieRevenge of the Avengersto his computer in 2.5 hours, using a download manager that downloads from 3 sources marked A, B and C. Each source provides download at a constant rate, but the rates of different sources are not necessarily identical. If the movie was downloaded from sou... | 24,006 |
<|im_start|>user
Which one of the following is equal to 17?
Answer Choices: (A) 3 - 4 * 5 + 6 (B) 3 *4 + 5 / 6 (C) 3 + 4 * 5 - 6 (D) 3/ 4 + 5 - 6 (E) 3 * 4/ 5 + 6<|im_end|>
<|im_start|>assistant
<think>
</think>
In the table below, each of the five expressions is evaluated using the correct order of operations.
Expre... | 59,987 |
<|im_start|>user
A store sells a certain product at a fixed price per unit. At the product's current price, v units cost a total of exactly $300. If the price were lowered by $5 from its current value, then v + 2n units would cost exactly $300; if the price were raised by $5, then v – n units would cost exactly $300. W... | 97,019 |
<|im_start|>user
When 21 is divided by the positive integer k, the remainder is 3, for how many different values of k is this true?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
This means that 18 must be a multiple of k.
The factors of 18 are 1, 2, 3, 6, 9, and 18.
Ou... | 63,973 |
<|im_start|>user
A tradesman sold an article at a loss of 25%. If the selling price had been increased by $500, there would have been a gain of 15%. What was the cost price of the article ?
Answer Choices: (A) $1000 (B) $1200 (C) $1120 (D) $1350 (E) $1250<|im_end|>
<|im_start|>assistant
<think>
</think>
Let C.P. be $... | 70,674 |
<|im_start|>user
Two men started running simultaneously around a circular track of length 19200 m from the same point at speeds of 120 km/hr and 200 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Answer Choices: (A) 214 (B) 215 (C) 216 (D) 217 (E) 218<|im... | 59,346 |
<|im_start|>user
A man can row his boat with the stream at 22 km/h and against the stream in 10 km/h. The man's rate is?
Answer Choices: (A) 1 kmph (B) 6 kmph (C) 7 kmph (D) 4 kmph (E) 9 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
DS = 22
US = 10
S = ?
S = (22 - 10)/2 =6 kmph
The answer is B<|e... | 27,967 |
<|im_start|>user
10 books are placed at random in a shelf. The probability that a pair of books will always be together is?
Answer Choices: (A) 1/7 (B) 1/8 (C) 1/5 (D) 1/1 (E) 1/2<|im_end|>
<|im_start|>assistant
<think>
</think>
10 books can be rearranged in 10! ways consider the two books taken as a pair then number... | 37,237 |
<|im_start|>user
I have an amazing bath tub having both hot and cold water taps.
The cold water tap can fill my tub in 6 hours while cold water tap can fill the tub in approx 4 hours.
I turned them on simultaneously but forgot to close the lid which remove water out of tub.
The lid can empty the tub in exact 13 hours.
... | 34,498 |
<|im_start|>user
If a man buys 10 lollipops for $80 and sold them for $5 dollars determine his loss.
Answer Choices: (A) 50 (B) 60 (C) 70 (D) 80 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
Cost of 10 lollipops = $80
Sold each lollipop for $5
So he sold 10 lollipops for $(10 × 5) = $50
Loss = $(80 – 50) = ... | 90,958 |
<|im_start|>user
Thabo owns exactly 280 books, and each book is either paperback fiction, paperback nonfiction, or hardcover nonfiction. If he owns 20 more paperback nonfiction books than hardcover nonfiction books, and twice as many paperback fiction books as paperback nonfiction books, how many hardcover books nonfic... | 45,065 |
<|im_start|>user
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 50 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Answer Choices: (A) 22 (B) 27 (C) 45 (D) 99 (E) 12<|im_end|>
<|im_start|>assistant
<... | 79,773 |
<|im_start|>user
A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is
Answer Choices: (A) 28% (B) 30% (C) 32% (D) 38% (E) 40%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let original length = x and original breadth = y.
Decrease in area
= ... | 61,829 |
<|im_start|>user
FOG + FOG + FOG + FOG = 1456.
If F,O and G are digits in a three-digit number in the preceding equation the F + O + G = ?
Answer Choices: (A) 11 (B) 12 (C) 13 (D) 14 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
given,FOG + FOG + FOG + FOG = 1456
4(FOG)=1456
=>FOG=364
Face value of F is:3
F... | 12,930 |
<|im_start|>user
A garrison of 400 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) 10 (B) 17 (C) 15 (D) 11 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
400 --- 31
400... | 22,187 |
<|im_start|>user
What type of feedback intensifies a change in the body’s physiological condition rather than reversing it?
Answer choice: (A) negative feedback (B) neutral feedback (C) susceptible feedback (D) positive feedback<|im_end|>
<|im_start|>assistant
<think>
</think>
Positive Feedback Positive feedback inte... | 7,667 |
<|im_start|>user
Convert the 11/36 m/s into kilometers per hour?
Answer Choices: (A) 2.9 kmph (B) 1.1 kmph (C) 1.3 kmph (D) 1.2 kmph (E) 5.7 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
11/36 m/s = 11/36 * 18/5 = 11/10
= 1.1 kmph.
The answer is B<|endoftext|> | 88,511 |
<|im_start|>user
There are 193 items that are members of set U. Of these items, 47 are members of set B, 59 are not members of either of set A or set B, and 23 are members of both sets A and B. How many of the members of set U are members of set A ?
Answer Choices: (A) 72 (B) 85 (C) 94 (D) 106 (E) 108<|im_end|>
<|im_st... | 66,309 |
<|im_start|>user
Some 96% of the dry mass consists of organic compounds produced by what?
Answer choice: (A) erosion (B) electrolysis (C) reproduction (D) photosynthesis<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 512 |
<|im_start|>user
The salaries of A and B together amount to $500. A spends 90% of his salary and B, 80% of his. If now, their savings are the same, what is A's salary?
Answer Choices: (A) $50 (B) $150 (C) $69 (D) $34 (E) $52<|im_end|>
<|im_start|>assistant
<think>
</think>
Let A's salary is x
B's salary = 500-x
(100-... | 3,972 |
<|im_start|>user
One fourth of one third of two fifth of a number is 17. What will be 40% of that number
Answer Choices: (A) 140 (B) 204 (C) 180 (D) 200 (E) 250<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(1/4) * (1/3) * (2/5) * x = 17 then x = 17 * 30 = 510
40% of 510 = 204
The answer is B<|endofte... | 39,273 |
<|im_start|>user
A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the probability Q that the 2 apples selected will include the spoiled one?
Answer Choices: (A) a. 1/5 (B) b. 3/10 (C) c. 2/5 (D) d. 1/2 (E) e. 3/... | 19,635 |
<|im_start|>user
In year Y imported machine tools accounted for 25 percent of total machine - tool sales in the United States, and Japanese imports accounted for 25 percent of the sales of imported machine tools. If the total sales of machine tools imported Japan that year was x billion dollars, then the total sales of... | 7,097 |
<|im_start|>user
P and Q started a business investing Rs. 85,000 and Rs. 35,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Answer Choices: (A) 17:6 (B) 17:0 (C) 17:7 (D) 17:2 (E) 17:3<|im_end|>
<|im_start|>assistant
<think>
</think>
P:Q = 85000 : 35000
= 17:7.... | 76,870 |
<|im_start|>user
Evaluate : 37 x 181+ 37 x 319
Answer Choices: (A) 22500 (B) 15500 (C) 18500 (D) 25000 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
37 x 181 + 37 x 319 = 37 x (181 + 319) = 37 x 500 = 18500.
The answer is C<|endoftext|> | 47,701 |
<|im_start|>user
If a certain number is divided by 9, the quotient, dividend, and divisor, added together, will amount to 69. What is the number?
Answer Choices: (A) 18 (B) 28 (C) 48 (D) 38 (E) 54<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x = the number sought.
Then x/9 + x + 9 = 69.
And x = 54.
E
The answ... | 94,428 |
<|im_start|>user
If three painters can complete three rooms in two hours, how many hours 5 painters would it take to do 20 rooms?
Answer Choices: (A) 6 (B) 9 (C) 7 (D) 8 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Three painters can complete three rooms in two hours. So 20 rooms can be painted... | 32,991 |
<|im_start|>user
In Mike's opinion, his weight is greater than 65kg but leas than 72 kg. His brother does not agree with Mike and he thinks that Mike's weight is greater than 60kg but less than 70kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what ... | 52,919 |
<|im_start|>user
If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 50/r years. If Luke's parents invested $13,500 in a long term bond that pays 12 percent interest compounded annually, what will be the approximate total amount of the investment 12... | 25,553 |
<|im_start|>user
If 3<x<6<y<7, then what is the greatest possible positive integer difference of x and y?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
3 < x < 6 < y < 7;
3 < x
y < 7
3 + y < x + 7
y - x < 4.
Positive integer difference is 3(for example y = 6.5 and x = ... | 30,662 |
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