text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
Gary’s Gas Station serves an average of 14 cars per hour on Saturdays, 10 cars per hour on Sundays, and 9 cars per hour on all other days of the week. If the station is open from 6 a.m. to 10 p.m. every day, how many cars does Gary’s station serve over the course of a typical week?
Answer Choices: (A) ... | 55,561 |
<|im_start|>user
If 45% of z is 120% of y and y is 75% of x, what percent of x is z?
Answer Choices: (A) 200 (B) 160 (C) 100 (D) 65 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
(45/100)z = (120/100)y
and y = (75/100)x i.e. y = (3/4)x
i.e. (45/100)z = (120/100)*(3/4)x
i.e. z = (120*3)x/(45*4)
i.e. z = (2)x ... | 56,914 |
<|im_start|>user
In how many ways can you seat 6 people on a bench if one of them does not want to sit at either end?
Answer Choices: (A) 360 (B) 400 (C) 440 (D) 480 (E) 520<|im_end|>
<|im_start|>assistant
<think>
</think>
One person can choose 4 possible chairs to sit. The remaining 5 people can sit in 5! ways.
The ... | 12,750 |
<|im_start|>user
Wendy begins sanding a kitchen floor by herself and works for 5 hours. She is then joined by Bruce, and together the two of them finish sanding the floor in 2 hours. If Bruce can sand the floor by himself in 20 hours, how long would it take Wendy to sand the floor by herself?
Answer Choices: (A) 9/80 h... | 19,130 |
<|im_start|>user
One fast typist type some matter in 4hrs and another slow typist type the same matter in 6hrs. If both do combine in how much time they will take to finish.
Answer Choices: (A) 10 hr (B) 1 hr (C) 2 hr 24 mins (D) 3 hr 4 mins (E) 4 hr 10 mins<|im_end|>
<|im_start|>assistant
<think>
</think>
Fast's 1 h... | 72,039 |
<|im_start|>user
A circle graph shows how the budget of a certain company was spent: 55 percent for salaries, 9 percent for research and development, 5 percent for utilities, 4 percent for equipment, 2 percent for supplies, and the remainder for transportation. If the area of each sector of the graph is proportional to... | 81,656 |
<|im_start|>user
In the first hour of a two-hour trip, a car traveled 3d kilometers, and in the second hour of the trip, the car traveled one-half that distance. What is the average rate at which the car traveled during the trip, in kilometers per hour?
Answer Choices: (A) d (B) 1/3*d (C) 1/2*d (D) 5/4*d (E) 3/2*d... | 73,787 |
<|im_start|>user
What is the smallest number which, when increased by 7, is divisible by 7, 8, and 24?
Answer Choices: (A) 154 (B) 161 (C) 168 (D) 175 (E) 182<|im_end|>
<|im_start|>assistant
<think>
</think>
LCM(7,8,24)=24x7=168
So the least divisible number is 168, and the number we are looking for is 168-7=161.
The... | 1,459 |
<|im_start|>user
How many keystrokes are needed to type numbers from 1 to 1000 on a standard keyboard?
Answer Choices: (A) 2893 (B) 3000 (C) 5213 (D) 5642 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
While typing numbers from 1 to 1000, we have 9 single digit numbers from 1 to 9. E... | 51,915 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Guide words appear on each page of a dictionary. They tell you the first word and last word on the page. The other words on the page come between the guide words in alphabetical order.
To put words in alphabetical order, put... | 1,921 |
<|im_start|>user
An engagement team consists of a project manager, two team leaders, and four consultants. There are 2 candidates for the position of project manager, 3 candidates for the position of team leader, and 7 candidates for the 4 consultant slots. If 2 out of 7 consultants refuse to be on the same team, how m... | 23,014 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An object's speed tells you how fast the object is moving. Speed depends on both distance and time.
Distance tells you how far the object has moved. One unit used to measure distance is the kilometer.
Time tells you how long... | 6,142 |
<|im_start|>user
If x = a!, which of these following values of a is the least possible value (in this list) for which the last 7 digits of the integer x will all be zero?
Answer Choices: (A) 28 (B) 32 (C) 36 (D) 40 (E) 44<|im_end|>
<|im_start|>assistant
<think>
</think>
2*5 will give one 0 at the end. We need 2^7*5^7... | 17,135 |
<|im_start|>user
There are 3 sections with 4 questions each. If three questions are selected from each section, the chance of getting different questions is________
Answer Choices: (A) 10 (B) 78 (C) 89 (D) 64 (E) 56<|im_end|>
<|im_start|>assistant
<think>
</think>
we have to select three questions from each section s... | 62,201 |
<|im_start|>user
(√27+√243)/√48=?
Answer Choices: (A) 2√2 (B) 2√3 (C) 3√2 (D) 3√3 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
(√27+√243)/√48
=(3√3+9√3)/4√3
=12√3/4√3
=3.
Hence, the
The answer is E<|endoftext|> | 90,211 |
<|im_start|>user
6 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise?
(1 litre = 1000cm³)
Answer Choices: (A) 4 (B) 8 (C) 10 (D) 20 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
lXbXh= 12000
h= 6000/50*30= 4 cm
'A' is
T... | 4,632 |
<|im_start|>user
If k > 0, x + k = y, and y + 5k = z, what is the ratio between z - x and y - x ?
Answer Choices: (A) 2 to 1 (B) 3 to 1 (C) 4 to 1 (D) 5 to 1 (E) 6 to 1<|im_end|>
<|im_start|>assistant
<think>
</think>
y-x = k
z-y = 5k
Let's add the two equations together:
z-x = 6k
The ratio of z-x to y-x is 6:1.
The ... | 82,874 |
<|im_start|>user
A car runs at the speed of 25 km per hour when not serviced and runs at 75 kmph when serviced. After servicing the car covers a certain distance in 5 hours. How much time will the car take to cover the same distance when not serviced?
Answer Choices: (A) 8 hours (B) 16 hours (C) 15 hours (D) 7 hours (E... | 90,485 |
<|im_start|>user
Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?
Answer Choices: (A) 87 (B) 83 (C) 78 (D) 56 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think... | 87,285 |
<|im_start|>user
n a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is?
Answer Choices: (A) 2 hrs (B) 3 hrs (C) 1 hr (D) 4 hrs (E) 5 hrs<|im_end|>
<|im_start|>assistant
<... | 51,003 |
<|im_start|>user
How many total number of ways in which y distinct objects can be put into two different boxes is
Answer Choices: (A) n2 (B) 2y (C) 2n (D) 3n (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the two boxes be B1 and B2. There are two choices for each of the y objects. So, the tota... | 27,009 |
<|im_start|>user
The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2 . Find their incomes?
Answer Choices: (A) 150,222 (B) 150,209 (C) 150,200 (D) 150,202 (E) 150,201<|im_end|>
<|im_start|>assistant
<think>
</think>
The incomes of A and B be ... | 27,847 |
<|im_start|>user
If 10 lions can kill 10 deers in 10 minutes how long will it take 100 lions to kill 100 deers?
Answer Choices: (A) 1 minutes (B) 10 minute (C) 100 minutes (D) 10000 minutes (E) 1000 minutes<|im_end|>
<|im_start|>assistant
<think>
</think>
we can try the logic of time and work,our work is to kill the ... | 7,119 |
<|im_start|>user
Are cnidarians typically found in ocean or fresh water habitats?
Answer choice: (A) lakes (B) rivers (C) freshwater (D) ocean<|im_end|>
<|im_start|>assistant
<think>
</think>
Cnidarians can be found in almost all ocean habitats. A few species live in fresh water.
The answer is D<|endoftext|> | 8,055 |
<|im_start|>user
The banker's discount on Rs.1800 at 12% per annum is equal to the true discount on Rs.1872 for the same time at the same rate. Find the time?
Answer Choices: (A) 3 months (B) 4 months (C) 5 months (D) 6 months (E) 7 months<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
S.I on Rs.1800 = T.D... | 89,256 |
<|im_start|>user
The fight or flight response and similar responses are controlled by what part of the nervous system?
Answer choice: (A) cells (B) autonomous (C) spinal cord (D) central nervous system<|im_end|>
<|im_start|>assistant
<think>
</think>
Image copyright CREATISTA, 2014. The autonomous nervous system cont... | 2,133 |
<|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 sentence fragment is a group of words that does not express a complete thought. It is usually ... | 1,046 |
<|im_start|>user
Jar A has 6% more marbles than Jar B . What percent of marbles from Jar A need to be moved into Jar B so that both jars have equal marbles?
Answer Choices: (A) 2.8% (B) 3.0% (C) 3.2% (D) 3.4% (E) 3.6%<|im_end|>
<|im_start|>assistant
<think>
</think>
An easy way to solve this question is by number plu... | 64,931 |
<|im_start|>user
How many seconds will a 600 m long train take to cross a man walking with a speed of 4 km/hr in the direction of the moving train if the speed of the train is 64 km/hr?
Answer Choices: (A) 30 (B) 36 (C) 50 (D) 44 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of train relative to man =... | 81,401 |
<|im_start|>user
Ramesh can finish a work in 20 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?
Answer Choices: (A) 22 days (B) 68 days (C) 77 days (D) 11 days (E) 88 days<|im_end|>
<|im_start|>assistant
<think>
</think... | 29,256 |
<|im_start|>user
Which of the following is the lowest positive integer that is divisible by the first 6 positive integer multiples of 5?
Answer Choices: (A) 300 (B) 600 (C) 720 (D) 950 (E) 1500<|im_end|>
<|im_start|>assistant
<think>
</think>
The number must be divisible by 5, 2*5, 3*5, 2^2*5, 5^2, and 2*3*5.
The low... | 78,513 |
<|im_start|>user
If 1400*xy=1050. Then what is the value of xy=?
Answer Choices: (A) 1/5 (B) 2/5 (C) 3/4 (D) 3/7 (E) 4/7<|im_end|>
<|im_start|>assistant
<think>
</think>
1400 x xy = 1050 xy = 1050 = 3/4
1400
C
The answer is C<|endoftext|> | 1,681 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
The title of a book, movie, play, TV show, magazine, or newspaper should be in italics. If you write it by hand, it can be underlined instead.
A Midsummer Night's Dream
The title of a poem, song, article, or short story shou... | 5,324 |
<|im_start|>user
In racing over a given distance d at uniform speed, A can beat B by 10 meters, B can beat C by 4 meters, and A can beat C by 12 meters. What is the distance d in meters?
Answer Choices: (A) 16 (B) 20 (C) 30 (D) 40 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
When A is at the finish line, B... | 49,905 |
<|im_start|>user
What theory goes beyond classical mechanics to describe the behavior of near-light-speed objects?
Answer choice: (A) normal relativity (B) simple relativity (C) special relativity (D) spacial relativity<|im_end|>
<|im_start|>assistant
<think>
</think>
A great many experiments have been performed to t... | 4,257 |
<|im_start|>user
Valentine day 14 Feb. 2005 was celebrated by Anand and shilpa on Tuesday. They were very happy. What day of the week would come on 14 Feb. 2010?
Answer Choices: (A) monday (B) tuesday (C) sunday (D) wednesday (E) thursday<|im_end|>
<|im_start|>assistant
<think>
</think>
feb 14 2005 - tuesday
feb 14 2... | 45,109 |
<|im_start|>user
The equation y = ax*b* + c produces the
following (x, y) coordinate pairs: (0, 2),
(1, 7), and (2, 42). What is the value of abc?
Answer Choices: (A) 10 (B) 20 (C) 30 (D) 40 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
To begin, plug x = 0 and y = 2 into the equation y = axb + c. Note that... | 65,709 |
<|im_start|>user
What is the difference between the C.I. on Rs. 5000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
Answer Choices: (A) Rs.2.04 (B) Rs.2.08 (C) Rs.2.02 (D) Rs.2.83 (E) Rs.2.42<|im_end|>
<|im_start|>assistant
<think>
</think>
C.I. when interest is compounded yearly
= [5000 * (1 + 4/... | 52,082 |
<|im_start|>user
At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $65,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the r... | 82,125 |
<|im_start|>user
What sum of money will produce Rs.60 as simple interest in 4 years at 3 1/2 percent?
Answer Choices: (A) 337 (B) 429 (C) 266 (D) 288 (E) 211<|im_end|>
<|im_start|>assistant
<think>
</think>
60 = (P*4*7/2)/100
P = 429
The answer is B<|endoftext|> | 631 |
<|im_start|>user
A fisherman has 18 fish, then he catches 3 more fish. Now how many fish does he have?
Answer Choices: (A) A) 21 (B) B) 15 (C) C) 17 (D) D) 23 (E) E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
18+3=21.
The answer is A<|endoftext|> | 75,337 |
<|im_start|>user
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Answer Choices: (A) Rs.2000 (B) Rs.2028 (C) Rs.2020 (D) Rs.2720 (E) Rs.2026<|im_end|>
<|im_start|>assistant
<think>
</think>
(10*10)/100 = 1%loss
100 --- 99
... | 46,424 |
<|im_start|>user
We run a business that rents out canoes and kayaks. A canoe rental costs $11 per day, and a kayak rental costs $16 dollars per day. One day, our business rents out 4 canoes for every 3 kayaks and receives a total of $460 in revenue. How many more canoes than kayaks were rented out?
Answer Choices: (A) ... | 4,753 |
<|im_start|>user
Water boils at 212°F or 100°C and ice melts at 32°F or 0°C . If the temperature of a pot of water is 40°C, what is the temperature of the pot of water in °F?
Answer Choices: (A) 85 °F (B) 92 °F (C) 96 °F (D) 99 °F (E) 104 °F<|im_end|>
<|im_start|>assistant
<think>
</think>
Let F and C denote the temp... | 3,930 |
<|im_start|>user
A circuit that consists of two loops is called a what?
Answer choice: (A) diverse circuit (B) unnatural circuit (C) parallel circuit (D) complex circuit<|im_end|>
<|im_start|>assistant
<think>
</think>
A circuit that consists of two loops is called a parallel circuit. If one loop of a parallel circui... | 10,902 |
<|im_start|>user
Calculate how many days it will take for 10 boys to paint a 80 m long wall if 6 boys can paint a 70 m long wall in 8 days,
Answer Choices: (A) 9.48 days (B) 3.48 days (C) 7.48 days (D) 5.48 days (E) 6.48 days<|im_end|>
<|im_start|>assistant
<think>
</think>
The length of wall painted by one boy in on... | 8,866 |
<|im_start|>user
A man can row 8 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man?
Answer Choices: (A) 7.82 km (B) 6 km (C) 5.76 km (D) 5.66 km (E) 10 km<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 8
S =... | 33,310 |
<|im_start|>user
A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 100. How much did he have with him in the beginning?
Answer Choices: (A) Rs 200 (B) Rs 250 (C) Rs 300 (D) Rs 450 (E) Rs 550<|im_end|>
<|im_start|>assistan... | 34,373 |
<|im_start|>user
If x^2 - 4 = 0 and x > 0, which of the following must be equal to 0 ?
Answer Choices: (A) x^2 - 2x (B) x^2 - 9x + 20 (C) x^2 - 2x + 3 (D) x^2 + 2x - 3 (E) x^2 + 5x + 6<|im_end|>
<|im_start|>assistant
<think>
</think>
x^2-4 = 0
x= +2 or x = -2
if we substitute x= 2 in the equation x^2 - 2x = 4-4 ... | 57,988 |
<|im_start|>user
Each of the three people individually can complete a certain job in 4, 6, and 8 hours, respectively. What is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates?
Answer Choices: (A) 3/8 (B) 5/12 (C) 7/24 (D) 11/36 (E) 13/48<|im_end|>
<... | 13,929 |
<|im_start|>user
Calculate 24 x 99
Answer Choices: (A) 2976 (B) 2467 (C) 2476 (D) 4276 (E) 2376<|im_end|>
<|im_start|>assistant
<think>
</think>
= 24-1 = 23
= (Decrement each digit of the number obtained from 9) Here we got 23. Now
= 9-2 = 7 and 9-3=6. So we have 76
Just write these numbers together.
That is we have ... | 9,303 |
<|im_start|>user
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Answer Choices: (A) 2399 (B) 2889 (C) 2830 (D) 2878 (E) 3000<|im_end|>
<|im_start|>assistant
<think>
</think>
Ex... | 88,278 |
<|im_start|>user
Of the three-digit integers greater than 600, how many have two digits that are equal to each other and the remaining digit different from the other two?
Answer Choices: (A) 90 (B) 82 (C) 80 (D) 75 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the three digit number be represented ... | 61,697 |
<|im_start|>user
There are 5 locks and 5 keys and each of the 5 keys matches each of the 5 locks. What is the minimum and the maximum trial numbers of attempts Q needed to confirm that each of the 5 keys matches each of the 5 locks?
Answer Choices: (A) 5,15 (B) 4,15 (C) 5,10 (D) 4,10 (E) 5,20<|im_end|>
<|im_start|>assi... | 71,747 |
<|im_start|>user
For every integer n ≥ 3, the function g(n) is defined as the product of all the odd integers from 1 to n, inclusive. What is the value of g(101) – g(99)?
Answer Choices: (A) 0 (B) 98 (C) 99 (D) 100 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
g(101) = 1*3*5*7*9*...*99*101
g(99) = 1*3*5*7*9... | 19,953 |
<|im_start|>user
A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
Answer Choices: (A) 127 (B) 200 (C) 882 (D) 272 (E) 323<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of ways to select two men and three women
= ⁵C₂ * ⁶C₃
= (5 *4 )/(... | 83,945 |
<|im_start|>user
What is the square root of 96,721?
Answer Choices: (A) 476 (B) 489 (C) 289 (D) 511 (E) 311<|im_end|>
<|im_start|>assistant
<think>
</think>
1) Checking the last digits in the answer options A, C, E are out since last digit of the square is known to be 1.
2) C = 489^2 and E = 511^2
C = (300-11)^2 and ... | 83,267 |
<|im_start|>user
In order to obtain an income of Rs. 1000 from 50% stock at Rs. 500, one must make an investment of
Answer Choices: (A) Rs.17000 (B) Rs.16050 (C) Rs.15400 (D) Rs.10000 (E) Rs.10500<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Market Value = Rs.500.
Required Income = Rs. 1000.
Here fa... | 80,239 |
<|im_start|>user
45 x ? = 60% of 900
Answer Choices: (A) 16.2 (B) 12 (C) 5 (D) 500 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
Let 45 x A = (60 x 900)/100
∴ A = (60 x 9)/45 = 12
Correct Option: B
The answer is B<|endoftext|> | 89,164 |
<|im_start|>user
By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
Answer Choices: (A) Rs.488 (B) Rs.480 (C) Rs.482 (D) Rs.487 (E) Rs.481<|im_end|>
<|im_start|>assistant
<think>
</think>
SP = 800
Profit = 25%
CP = (SP)*[100/(100+... | 92,109 |
<|im_start|>user
What 'counting' instrument is used to measure radioactivity?
Answer choice: (A) geiger counter (B) Liquid Counter (C) ellie counter (D) pryor counter<|im_end|>
<|im_start|>assistant
<think>
</think>
prepared. A student measures the radioactivity of this source with a Geiger counter and observes 1500 ... | 5,083 |
<|im_start|>user
What is aggravated by practices such as logging, mining, construction, and paving surfaces?
Answer choice: (A) global warming (B) seismic activity (C) water pollution (D) soil erosion<|im_end|>
<|im_start|>assistant
<think>
</think>
Logging, mining, construction, and paving surfaces are some of the w... | 10,031 |
<|im_start|>user
There are 24 stations between Ernakulam and Chennai. How many second class tickets have to be printed, so that a passenger can travel from one station to any other station?
Answer Choices: (A) 800 (B) 820 (C) 650 (D) 870 (E) 900<|im_end|>
<|im_start|>assistant
<think>
</think>
The total number of sta... | 24,415 |
<|im_start|>user
If the median of a list of numbers is m, the first quartile of the list is the median of the numbers in the list that are less than m. What is the first quartile of the list of numbers 42, 24, 30, 22, 26, 27, 33 and 35 ?
Answer Choices: (A) 33 (B) 28 (C) 27 (D) 24 (E) 25<|im_end|>
<|im_start|>assistant... | 58,557 |
<|im_start|>user
What kind of mutations are produced by nucleotide-pair insertions or deletions?
Answer choice: (A) frameshift (B) shifty (C) framing (D) cloned<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 8,523 |
<|im_start|>user
Reeya obtained 65, 67, 76, 82 and 85 out of 100 in different subjects, What will be the average
Answer Choices: (A) 70 (B) 75 (C) 80 (D) 85 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(65+67+76+82+85 / 5)=75
Option B
The answer is B<|endoftext|> | 6,516 |
<|im_start|>user
What is the square root of 324?
Answer Choices: (A) A) 18 (B) B) 9 (C) C) 45 (D) D) 62 (E) E) 81<|im_end|>
<|im_start|>assistant
<think>
</think>
A square root of a number is a number times itself equals the original number.
Ex) The square root of 81 is 9 because 9 times itself(9) equals the original... | 58,832 |
<|im_start|>user
Push or pull acting on an object is also called?
Answer choice: (A) Gravity. (B) space (C) effort (D) force<|im_end|>
<|im_start|>assistant
<think>
</think>
Force is defined as a push or pull acting on an object. There are several fundamental forces in the universe, including the force of gravity, el... | 8,555 |
<|im_start|>user
Who has proposed that cigarette advertising in all media be banned entirely?
Answer choice: (A) parents (B) antismoking groups (C) schools (D) teachers<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 9,528 |
<|im_start|>user
A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.3 per sq m?
Answer Choices: (A) 675, Rs.2025 (B) 575, Rs.1350 (C) 1350, Rs.675 (D) 1450, Rs.775 (E) 1550, Rs.875<|im_end|>
<|im_start|>assis... | 60,221 |
<|im_start|>user
The ratio of the ages of three people is 4:6:7. Six years ago, the sum of their ages was 50. Find their present ages.
Answer Choices: (A) 12,18,21 (B) 16,24,28 (C) 20,30,35 (D) 24,36,42 (E) 28,42,49<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the present ages be 4x, 6x, 7x.
(4x-6) + (6x-6) +... | 79,666 |
<|im_start|>user
A person spends 1/5th of his income on the education of his children, and 20% of the remaining on food. If he is left with Rs.576 find his income?
Answer Choices: (A) 900 (B) 906 (C) 988 (D) 917 (E) 902<|im_end|>
<|im_start|>assistant
<think>
</think>
X * 4/5 * 80/100 = 576
X = 14400/16
X = 900
The a... | 95,153 |
<|im_start|>user
When positive integer t is divided by 13, the remainder is 2. When n is divided by 8, the remainder is 5. How many such values are less than 180?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
the equation that can be formed t is 13x+2=8y+5..
13x-3... | 76,854 |
<|im_start|>user
The sum of two numbers is 40 and their product is 350. What will be the sum of their reciprocals?
Answer Choices: (A) 4/35 (B) 8/75 (C) 75/4 (D) 75/8 (E) 75/6<|im_end|>
<|im_start|>assistant
<think>
</think>
(1/a)+(1/b)=(a+b)/ab=40/350=4/35
The answer is A<|endoftext|> | 3,830 |
<|im_start|>user
How many three letter words are formed using the letters of the word GAMER?
Answer Choices: (A) 60 (B) 45 (C) 67 (D) 98 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of letters in the given word is four.
The number of three letter words that can be formed using these four letters... | 36,097 |
<|im_start|>user
Since 2001, the standard serial numbers on a New York state license plate are 3 letters followed by 4 digits. How many different license plates are possible if letters and digits can be repeated?
Answer Choices: (A) 26 × 3 × 10 × 4 (B) 26 × 25 × 24 × 10 × 9 × 8 × 7 (C) 26³ × 9 × 9 × 9 × 9 (D) 26 × 25 ×... | 3,614 |
<|im_start|>user
Using all the letters of the word "HEAD", how many words can be formed, which begin with H and end with D?
Answer Choices: (A) 8 (B) 4 (C) 2 (D) 7 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
There are five letters in the given word.
Consider 4 blanks ....
The first blank and last blank mus... | 37,398 |
<|im_start|>user
A man covers a certain distance C in a train. If the train moved 4km/hr faster, it would take 30 min less. If it moved 2km/hr slower, it would take 20 mins more. Find the distance?
Answer Choices: (A) 200 km (B) 50 km (C) 20 km (D) 60 km (E) 80 km<|im_end|>
<|im_start|>assistant
<think>
</think>
Not ... | 73,835 |
<|im_start|>user
Albert is 2 times Mary’s age and 4 times as old as Betty. Mary is 8 years younger than Albert. How old is Betty?
Answer Choices: (A) 4 (B) 6 (C) 10 (D) 16 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
A = 2M = M+8
M = 8
A = 16
A = 4B, and so B = 4
The answer is A<|endoftext|> | 64,281 |
<|im_start|>user
Twenty years ago,a father was three times as old as his son.Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is :
Answer Choices: (A) 120 (B) 76 (C) 108 (D) 105 (E) 86<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the present ages of th... | 76,425 |
<|im_start|>user
If 4XZ + YW = 7 and XW + YZ = 14, what is the value of the expression (2X + Y)(2Z + W)?
Answer Choices: (A) 9. (B) 12. (C) 35. (D) 16. (E) 18.<|im_end|>
<|im_start|>assistant
<think>
</think>
(2x+y)*(2z+w) = 7+2(14) =35
The answer is C<|endoftext|> | 7,379 |
<|im_start|>user
A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
Answer Choices: (A) 16 (B) 18 (C) 24 (D) 19 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Total time taken = x/40 + 2x/20 hours
= 5x/40 = x/8 hours
Average speed... | 65,392 |
<|im_start|>user
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Answer Choices: (A) 3% (B) 4% (C) 5% (D) 6% (E) 7%<|im_end|>
<|im_start|>assistant
<think>
</think>
65*(90/100)*((100-x)/100) = 56.16
x = 4%
The... | 63,227 |
<|im_start|>user
Sarah operated her lemonade stand Monday through Friday over a two week period and made a total profit of 200 dollars. On hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days. Each cup she sold had a total cost of 75 cents and Sarah did not incur any other cos... | 19,833 |
<|im_start|>user
The radius of a wheel is 22.5 cm. What is the distance covered by the wheel in making 500 resolutions?
Answer Choices: (A) 708 m (B) 707.14 m (C) 774 m (D) 714 m (E) 744 m<|im_end|>
<|im_start|>assistant
<think>
</think>
In one resolution, the distance covered by the wheel is its own circumference. D... | 25,955 |
<|im_start|>user
A certain student has received the following test grades: 94%, 83%, 71%, 82%, and 88%. If the highest test grade is increased by 5 percentage points, which of the following statements best describes the change in the mean and the median of the test grades?
Answer Choices: (A) The mean and the median w... | 24,410 |
<|im_start|>user
Which of the following is a parallelogram?
Answer Choices: (A) 120,50,120,50(angle in deg) (B) 120,30,130,20(angle in deg) (C) 90,90,90,90(angle in deg) (D) a & c (E) none<|im_end|>
<|im_start|>assistant
<think>
</think>
sum of adjacent angles is 180 degrees.
The answer is C<|endoftext|> | 4,987 |
<|im_start|>user
C individuals pledged to pay equal contributions so that a charity’s goal of $Q could be reached. If d of the contributors failed to pay their share, which of the following represents the additional number of dollars that each of the remaining individuals would have to pay in order to allow the charity... | 52,508 |
<|im_start|>user
8 is 4% of a, and 4 is 8% of b. c equals b/a. What is the value of c?
Answer Choices: (A) 1/32 (B) 1/4 (C) 1 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Given,
=>4a/100=8.
=>a=8×(100/4)=200. ---------(i)
And,
=>(8/100)×b=4.
=>b=50. ---------(ii)
Now, c=b/a ( from (i) an... | 33,851 |
<|im_start|>user
A pump can fill a tank with water in 2 hours. Because of a leak, it took 8/3 hours to fill the tank. The leak can drain all the water of the tank in?
Answer Choices: (A) 6 hours (B) 8 hours (C) 9 hours (D) 10 hours (E) 12 hours<|im_end|>
<|im_start|>assistant
<think>
</think>
The pump can fill the ta... | 1,699 |
<|im_start|>user
Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then
Answer Choices: (A) XB > YD (B) XB < YD (C) AX > XB (D) CY < YD (E) AX > AB<|im_end|>
<|im_start|>assistant
<think>
</think>
A--X------B
C------Y--D
XB > YD.
The answer is A<|endoftext|> | 56,482 |
<|im_start|>user
At a game of billiards,A can give B 15 points in 60 and A can give C 20 points in 60.How many points can B give C in a game of 90 ?
Answer Choices: (A) 30 points (B) 20 points (C) 10 points (D) 12 points (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
A : B = 60 : 45 and A... | 49,660 |
<|im_start|>user
There are 8 executives, including the CEO and CFO, that are asked to form a small team of 5 members. However, the CEO and CFO may not both be assigned to the team. Given this constraint, how many ways are there to form the team?
Answer Choices: (A) 34 (B) 35 (C) 36 (D) 37 (E) 38<|im_end|>
<|im_start|>a... | 42,439 |
<|im_start|>user
What is the smallest positive integer x such that 864x is the cube of a positive integer
Answer Choices: (A) 6 (B) 12 (C) 9 (D) 5 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Given 864x is a perfect cube
so we will take 1728= 12*12*12
864x = 1728
x =1728/864= 2
correct option is E
The answe... | 27,947 |
<|im_start|>user
Jar X is 1/2 full of water. Jar Y, which has half the capacity of Jar X, is 1/4 full of water. If the water in Jar Y is poured into Jar X, then Jar X will be filled to what fraction of its capacity?
Answer Choices: (A) 3/4 (B) 5/8 (C) 7/8 (D) 5/12 (E) 7/12<|im_end|>
<|im_start|>assistant
<think>
</thi... | 19,548 |
<|im_start|>user
If x and y are different integers and x^2 = xy, which of the following must be true ?
I. x = y
II. y = 0
III. x = 0
Answer Choices: (A) I only (B) II only (C) III only (D) I and III only (E) I, II, and III<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer choice A is correct.
The question gives... | 13,966 |
<|im_start|>user
The average salary of 16 people in the shipping department at a certain firm is $20,000. The salary of 5 of the employees is $25,000 each and the salary of 4 of the employees is $16,000 each. What is the average salary of the remaining employees?
Answer Choices: (A) $18,714 (B) $18,500 (C) $18,000 (... | 27,147 |
<|im_start|>user
If the population of a certain country increases at the rate of 10 person every 60 seconds, by how many persons does the population increase in 1 hour?
Answer Choices: (A) 100 (B) 200 (C) 600 (D) 800 (E) 1000<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer = 10 * 60(1 hour = 60 minutes)= 600
... | 20,383 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Guide words appear on each page of a dictionary. They tell you the first word and last word on the page. The other words on the page come between the guide words in alphabetical order.
To put words in alphabetical order, put... | 5,800 |
<|im_start|>user
A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzal... | 40,128 |
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