text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Answer Choices: (A) 288 (B) 180 (C) 288 (D) 277 (E) 265<|im_end|>
<|im_start|>assistant
<think>
</think>
Length of the train be ‘X’
X + 120/15 = X + 180/18
... | 74 |
<|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... | 3,549 |
<|im_start|>user
Baker Ram is storing cake boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each cake box is 8 inches by 7 inches by 5 inches, then what is the maximum number of cake boxes that can be placed in each carton?
Answer Choices: (A) 330 (B) 300 (C) 252 (D) 225 (E) 210<... | 60,274 |
<|im_start|>user
Three candidates contested an election and received 3834 votes, 7926 votes, and 16240 votes respectively. What percentage of the total votes did the winning candidate receive?
Answer Choices: (A) 55% (B) 56% (C) 57% (D) 58% (E) 59%<|im_end|>
<|im_start|>assistant
<think>
</think>
The total number of ... | 44,068 |
<|im_start|>user
A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
Answer Choices: (A) 12003 (B) ... | 2,196 |
<|im_start|>user
reema has 25 mangoes.srujana has 13 mangoes. Totally how many mangoes they have in all?
Answer Choices: (A) 20 (B) 38 (C) 30 (D) 25 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
25+13=38.
The answer is B<|endoftext|> | 84,320 |
<|im_start|>user
If the annual increase in the population of a town is 4% and the present number of people is 15625, what will the population be in 3 years?
Answer Choices: (A) 15265 (B) 16458 (C) 25600 (D) 17576 (E) 14785<|im_end|>
<|im_start|>assistant
<think>
</think>
The required population is = 15625 (1 + 4/100)... | 92,502 |
<|im_start|>user
For dinner at a restaurant, there are x choices of appetizers, y + 1 main courses, and z+1 choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?
Answer Choices: (A) x + y + z + 1 (B) xyz + xz (C) xy + z + 1 (D) xz+x+xyz+xy (... | 62,069 |
<|im_start|>user
A student gets an aggregate of 60% marks in five subjects in the ratio 10 : 9 : 8 : 7 : 6. If the passing marks are 50% of the maximum marks and each subject has the same maximum marks, in how many subjects did he pass the examinaiton?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6<|im_end|>
<|im_start|... | 50,042 |
<|im_start|>user
Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?
Answer Choices: (A) 10.30 am (B) 10 am (C) 9 am (D) 11 am (E) 12... | 30,140 |
<|im_start|>user
A certain tax rate is $65 per $100.00. What is the rate, expressed as a percent?
Answer Choices: (A) 82% (B) 6.5% (C) 0.82% (D) 65% (E) 0.0065%<|im_end|>
<|im_start|>assistant
<think>
</think>
Here in question it is asking $65 is what percent of $ 100.Suppose $ 65 is x% of 100 means
100* (x/100) = 65... | 56,544 |
<|im_start|>user
50 is divided into two parts such that the sum of their reciprocals is 1/ 12.Find the two parts.
Answer Choices: (A) 27 and 23 (B) 25 and 25 (C) 10 and 40 (D) 35 and 15 (E) 30 and 20<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the two parts be x and (50 - x).
Then, 1 / x + 1 / (50 – x) = 1 /... | 20,360 |
<|im_start|>user
The speed of a boat in still water is 30 kmph. What is the speed of the stream if the boat can cover 80 km downstream or 40 km upstream in the same time?
Answer Choices: (A) 11 kmph (B) 10 kmph (C) 12 kmph (D) 16 kmph (E) 15 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
X = the speed of the s... | 50,433 |
<|im_start|>user
A car takes 6 hours to cover a distance of 180 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Answer Choices: (A) 10Kmph (B) 20Kmph (C) 15Kmph (D) 30Kmph (E) 25Kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Time = 6
Distance = 280... | 76,537 |
<|im_start|>user
4y - 4x = xy and x ≠ 0. If x and y are integers, which of the following could equal y?
Answer Choices: (A) 2 (B) 1 (C) 0 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Plug in the answer choices in the equation from the question stem.
A) y = 2 >>> 4-x = 4x >>> No value of x will satisfy... | 29,748 |
<|im_start|>user
Which of the following is a possible length for side AB of triangle ABC if AC = 4 and BC = 9?
I. 5
II. 9 √3
III. 12.5
Answer Choices: (A) I only (B) II only (C) III only (D) II and III (E) I, II, and III<|im_end|>
<|im_start|>assistant
<think>
</think>
(9-4) < AB < (9+4)
The answer is C<|endoftext|> | 70,333 |
<|im_start|>user
Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?
Answer Choices: (A) Rs 870 (B) Rs 880 (C) Rs 890 (D) Rs 900 (E) None of these<|im_end|>
<|im_... | 81,460 |
<|im_start|>user
Two cars were driven by W and B. They were 580 miles apart when they started driving towards each other.W's car had traveled at a speed of 20 miles per hour, 4 hours per day for 5 days when it had met B's car. If B had driven 3 hours per day for 5 days, what was B's speed in miles per hour?
Answer Choi... | 55,054 |
<|im_start|>user
If the length of the longest chord of a certain circle is 20, what is the radius of that certain circle?
Answer Choices: (A) 2.5 (B) 5 (C) 10 (D) 15 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
Longest chord of a circle is the diameter of the circle
diameter = 2 * radius
If diameter of the... | 21,604 |
<|im_start|>user
The price of pulses has fallen by 25%. How many quintals can be bought for the same amount which was sufficient to buy 22 quintals at the higher price?
Answer Choices: (A) 20 (B) 22.5 (C) 29.3 (D) 28.5 (E) 32.5<|im_end|>
<|im_start|>assistant
<think>
</think>
80% of original price can buy = 22 quinta... | 53,521 |
<|im_start|>user
The average of 9 observations was 5, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Answer Choices: (A) 45 (B) 12 (C) 15 (D) 17 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
1 to 9 = 9 * 5 = 45
1 to 5 = 5 * 10 = 50
5 to 9 = 5 * 8 = 4... | 73,859 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
When you are using metric units, length can be written with units of millimeters, centimeters, me... | 106 |
<|im_start|>user
The average of five integers is 56, and none of these integers is greater than 100. If the average of three of the integers is 59, what is the least possible value of one of the other two integers?
Answer Choices: (A) 3 (B) 15 (C) 20 (D) 21 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
When... | 76,258 |
<|im_start|>user
The average age of 30 boys of a class is equal to 14 yrs. When the age of the class teacher is included the average becomes 15 yrs. Find the age of the class teacher.
Answer Choices: (A) 40 yrs (B) 42 yrs (C) 45 yrs (D) 46 yrs (E) 47 yrs<|im_end|>
<|im_start|>assistant
<think>
</think>
The average ag... | 27,151 |
<|im_start|>user
There are 44 students in a hostel, due to the administration, 15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ?
Answer Choices: (A) Rs. 618 (B) Rs. 612 (C) Rs. 622 (... | 18,385 |
<|im_start|>user
The compound interest on $ 27,000 at 11% p.a is $ 11,000.Find out the period (in years) ?
Answer Choices: (A) 2.5 (B) 3 1/4 (C) 3 (D) 2 3/4 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Amount = 27,000 + 11,000
= 38,000 ......... Now by using compound interest formula we get, 27,000 * (111/1... | 88,993 |
<|im_start|>user
Find the largest 4 digit number which isexactly divisible by 88?
Answer Choices: (A) 8765 (B) 9543 (C) 9944 (D) 1012 (E) 2465<|im_end|>
<|im_start|>assistant
<think>
</think>
Largest 4 digit number is 9999
After doing 9999 ÷ 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 ... | 17,642 |
<|im_start|>user
How long does a lorry 200 m long traveling at 80 kmph takes to cross a bridge of 200 m in length?
Answer Choices: (A) 15 (B) 17 (C) 15 (D) 16 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 200 + 200 = 400 m
S = 80 * 5/18 = 200/9
T = 400 * 9/200 = 18 sec
The answer is E<|endoftext|> | 87,644 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
Volume is a measurement of how much space something takes up.
There are many different units of v... | 2,540 |
<|im_start|>user
If x > 0, x/25 + x/20 is what percent of x?
Answer Choices: (A) 5% (B) 25% (C) 37 1/2% (D) 60% (E) 75 %<|im_end|>
<|im_start|>assistant
<think>
</think>
Just plug and chug. Since the question asks for percents, pick 100. (but any number will do.)
100/25 + 100/20= 4+5 =9
9 is 9% of 100=A.
The answer i... | 54,649 |
<|im_start|>user
Look at this series: 75, 75, 70, 70, 65, 65, ... What number should come next?
Answer Choices: (A) 14 (B) 15 (C) 17 (D) 60 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
In this series, each number is repeated, then 5 is subtracted to arrive at the next number.
The next number is 60
The answ... | 28,860 |
<|im_start|>user
If A : B = 4 : 5 and B : C = 6 : 7 then A : B : C is :
Answer Choices: (A) 20 : 35 : 63 (B) 35 : 36 : 63 (C) 30 : 35 : 65 (D) 25 :34: 68 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Expl : A : B = 4 : 5
B : C = 6 :7 = 6*5/6 : 7 *5/6 = 5 : 35/6
A : B : C = 4 : 5 : 36/6 = 24 : 30 ... | 4,675 |
<|im_start|>user
Annie will be half as old as Larry in 3 years. Annie will also be one-third as old as Jerome in 5 years. If Jerome is 13 years older than Larry, how old is Annie?
Answer Choices: (A) 6 (B) 8 (C) 19 (D) 26 (E) 34<|im_end|>
<|im_start|>assistant
<think>
</think>
J = L+13
(1) 2(A+3) = L+3
(2) 3(A+5) = J... | 22,002 |
<|im_start|>user
If you write down all the numbers from 1 to 25, then how many times do you write 3 ?
Answer Choices: (A) A) 11 (B) B) 3 (C) C) 2 (D) D) 1 (E) E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Explanation:
Clearly, from 1 to 25, there are ten numbers with 3 as the unit's digit- 3, 13,... | 18,322 |
<|im_start|>user
What is the difference between the local values of 4 in the number 54404?
Answer Choices: (A) 2992 (B) 3996 (C) 2877 (D) 2077 (E) 1211<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
4000 – 4 = 3996
The answer is B<|endoftext|> | 54,485 |
<|im_start|>user
P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings?
Answer Choices: (A) 1:5 (B) 1:0 (C) 1:3 (D) 1:1 (E) 1:2... | 38,726 |
<|im_start|>user
The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Answer Choices: (A) 18% (B) 16% (C) 17% (D) 78% (E) 28%<|im_end|>
<|im_start|>assistant
<think>
</think>
1500 ---- 270
100 ---- ? => 18%
The answer is A<|endoftext|> | 42,453 |
<|im_start|>user
John started a business, investing Rs.18000. After 3 months and 4 months respectively, Rose and Tom joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.4125. What is the difference between Rose ’s and Tom ’s share in the profit?
Answer Choices: (A) s.340 (B) s.362... | 83,035 |
<|im_start|>user
If a + b - c = 2d, and if a - b + c =-2e, then a =
Answer Choices: (A) 2(d + e) (B) d – e (C) (d + e) /2 (D) d-2e (E) e-d<|im_end|>
<|im_start|>assistant
<think>
</think>
Add both equations:
a + b - c = 2d
a - b + c =-2e
a+b-c+a-b+c=2d-2e
2a=2d-2e
a=(d-e)
The answer is B<|endoftext|> | 94,161 |
<|im_start|>user
The selling price of 13 apples is the same as the cost price of 26 mangoes . The selling price of 16 mangoes is the same as the cost price of 12 apples. If the profit on selling mangoes is 20%, What is the profit on selling apples?
Answer Choices: (A) 20% (B) 25% (C) 40% (D) 50% (E) 60%<|im_end|>
<|im_... | 38,063 |
<|im_start|>user
Robert is travelling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m.?
Answer Choices: (A) 17 kmph (B) 19 kmph (C) 15 kmph (D) 12 kmph (E) 16 kmph<|im_end|>
<... | 4,080 |
<|im_start|>user
if x:y = 1:3, then find the value of
(7x+3y):(2x+y)
Answer Choices: (A) 14:5 (B) 15:5 (C) 16:5 (D) 17:5 (E) 18:5<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
let x = 1k and y = 3k,
so
=7(k)+3(3k)/2(k)+1(3k)
=16k/5k
=16:5
The answer is C<|endoftext|> | 38,689 |
<|im_start|>user
hree 6 faced dice are thrown together. The probability that all the three show the same number on them is ?
Answer Choices: (A) 1/39 (B) 1/36 (C) 1/32 (D) 1/287 (E) 1/29<|im_end|>
<|im_start|>assistant
<think>
</think>
It all 3 numbers have to be same basically we want triplets. 111, 222, 333, 444, 5... | 70,808 |
<|im_start|>user
The price of a T.V. set worth Rs. 8000 is to be paid in 20 installments of Rs. 750 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Answer Choices: (A) 7250 (B) 7200 (C... | 39,648 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An allusion is a brief mention of something or someone well known, often from mythology, history, or literature. An allusion lets you reference ideas from an entire story in just a few words.
"I'd better get home before I tu... | 4,923 |
<|im_start|>user
All of the stocks on the over-the-counter market are designated by either a 5-letter or a 5-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
Answer Choices: (A) 2(26^5) (B) ... | 15,157 |
<|im_start|>user
Rahul went to a shop and bought things worth Rs. 30, out of which 30 Paise 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) 25.7 (B) 24.7 (C) 23.7 (D) 22.7 (E) 26.7<|im_end|>
<|im_start|>assistant
<think>
</think>
Total ... | 81,675 |
<|im_start|>user
Sam invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?
Answer Choices: (A) Rs.16537.76 (B) Rs.16537.98 (C) Rs.16537.50 (D) Rs.16537.56 (E) Rs.16537.51<|im_end|>
<|im_start|>assistant
<think>
</thin... | 67,475 |
<|im_start|>user
The population of a town is 10000. It increases annually at the rate of 20% p.a. What will be its population after 2 years?
Answer Choices: (A) 14300 (B) 14350 (C) 14400 (D) 14500 (E) 14600<|im_end|>
<|im_start|>assistant
<think>
</think>
Formula :
( After =100 denominator
Ago = 100 numerator)
10000 ... | 29,297 |
<|im_start|>user
There are 12 dozen mangoes in a box. If there are 43
such boxes, how many mangoes are there in all the
boxes together?
Answer Choices: (A) 516 (B) 3096 (C) 6192 (D) 628 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of mangoes = 12 dozens
= 12 × 12 = 144
∴ Number of mangoes in 43 bo... | 77,732 |
<|im_start|>user
26th January, 1996 was a Friday. What day of the week lies on 27th January, 1997?
Answer Choices: (A) Saturday (B) Sunday (C) Monday (D) Thursday (E) Friday<|im_end|>
<|im_start|>assistant
<think>
</think>
SOLUTION :
The year 1996 was a leap year. Hence, it adds 3 odd days. As 26th January, 1996 was ... | 37,677 |
<|im_start|>user
If a and b are different positive integers and a + b = b(a + b), then which of the following must be true?
I. a = 1
II. b < a
III. b = 1
Answer Choices: (A) I only (B) II only (C) III only (D) II and III (E) I and III<|im_end|>
<|im_start|>assistant
<think>
</think>
b has to equal a squared, and that... | 6,879 |
<|im_start|>user
In earthworms, the skin serves as what type of organ?
Answer choice: (A) kidney (B) reproductive (C) excretory (D) respiratory<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 11,624 |
<|im_start|>user
A hiker walking at a constant rate of 4 miles per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 36 miles per hour. the cyclist stopswaits for the hiker 5 min after passing her while the hiker continues to walk at her constant rate. how many minut... | 85,505 |
<|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... | 3,327 |
<|im_start|>user
If a committee of 3 people is to be selected from among 4 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?
Answer Choices: (A) 20 (B) 32 (C) 50 (D) 80 (E) 120<|im_end|>
<|im_start|>assistant
<think>
</think>
Each c... | 54,355 |
<|im_start|>user
If 4% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is
Answer Choices: (A) 250 (B) 231 (C) 200 (D) 288 (E) 111<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let C.P. be Rs. x.
Then, 4% of x = 350 - 340 = 10
x/25 = 10 => x = 25... | 12,426 |
<|im_start|>user
If e>0.9, which of the following options can be the value of e?
Answer Choices: (A) 0.9^2 (B) √(0.9) (C) 0.09 (D) 0.9 (E) 0.9^3<|im_end|>
<|im_start|>assistant
<think>
</think>
Lets take a few examples
When .2 is squared it gives .04
when .5 is squared it gives .25
When .9 is squared it gives .81
So... | 68,182 |
<|im_start|>user
Two persons start running simultaneously around a circular track of length 400 m from the same point at speeds of 15 km/hr and 25 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) 11 (B) 10 (C) 28 (D) 27 (E) 36<|im_end|>
... | 92,303 |
<|im_start|>user
5/4 of all married couples have more than one child. 2/5 of all married couples have more than 3 children. What fraction of all married couples have 2 or 3 children?
Answer Choices: (A) 1/5 (B) 1/4 (C) 17/20 (D) 3/5 (E) It cannot be determined from the given information.<|im_end|>
<|im_start|>assistant... | 90,274 |
<|im_start|>user
In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/6. For a group of 200 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Answer Choices: (A) 116 (B) 146... | 72,873 |
<|im_start|>user
If a farmer sells 5 of his chickens, his stock of feed will last for 4 more days than planned, but if he buys 10 more chickens, he will run out of feed 3 days earlier than planned. If no chickens are sold or bought, the farmer will be exactly on schedule. How many chickens does the farmer have?
Answer ... | 56,667 |
<|im_start|>user
A box contains nine bulbs out of which 3 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
Answer Choices: (A) 125/167 (B) 125/186 (C) 83/84 (D) 125/186 (E) 125/128<|im_end|>
<|im_start|>assistant
<think>
</think>
Required probability
= 1 - 1/84
= ... | 90,989 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A sentence is a group of words that forms a complete thought. It has both a subject and a verb.
My friends walk along the path.
A run-on sentence is made up of two sentences that are joined without end punctuation or with ju... | 3,218 |
<|im_start|>user
2 friends A and B running up hill and then to get down length of road-440 yads A on his return journey met B going up at 20 yards from top if A has finished race 5 minute earlier than B then how much time A had taken to complete the race?
Answer Choices: (A) 100 minute (B) 110 minute (C) 120 minute (D)... | 68,207 |
<|im_start|>user
If x and y are integers and x divided by y is 17.15, then which of the following integers is a possible value for the remainder when x is divided by y? I. 15 II. 5 III. 3
Answer Choices: (A) II only (B) I only (C) II,III only (D) III only (E) I,III only<|im_end|>
<|im_start|>assistant
<think>
</think>... | 39,118 |
<|im_start|>user
If y is 70% greater than x, than x is what % less than y?
Answer Choices: (A) 18.7 (B) 25.5 (C) 33.3 (D) 41.2 (E) 54.4<|im_end|>
<|im_start|>assistant
<think>
</think>
y = 1.7x
x = y/1.7 = 10y/17
x is 7/17 less which is about 41.2% less than y.
The answer is D<|endoftext|> | 43,663 |
<|im_start|>user
2 men and 7 boys can do a piece of work in 14 days; 3 men and 8 boys can do the same in 11 days. Then, 8 men and 6 boys can do three times the amount of this work in
Answer Choices: (A) 05 (B) 21 (C) 51 (D) 11 (E) 41<|im_end|>
<|im_start|>assistant
<think>
</think>
(2x14)men+(7x14)boys=(3x11)men+(8x1... | 75,661 |
<|im_start|>user
In a family gathering, there is a basket in which there are oranges, bananas and apples. Half of the people in the family eat oranges, half of the other half eat bananas and the rest eat apples. If the number of people who eat oranges are 10 less than the total number of people, find the number of peop... | 7,812 |
<|im_start|>user
What celestial bodies are classified by color and temperature, ranging from blue to red and hottest to coolest?
Answer choice: (A) astroids (B) stars (C) planets (D) galaxies<|im_end|>
<|im_start|>assistant
<think>
</think>
Stars are classified by color and temperature. The most common system uses th... | 1,451 |
<|im_start|>user
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Answer Choices: (A) 110 m (B) 120 m (C) 160 m (D) 180 m (E) 140 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.
Leng... | 38,442 |
<|im_start|>user
P, Q and R are inner angles in a triangle. If P= Q+ R, what can't be the size of Q?
Answer Choices: (A) 30 DEGREES (B) 40 DEGREES (C) 90 DEGREES (D) 50 DEGREES (E) 60 DEGREES<|im_end|>
<|im_start|>assistant
<think>
</think>
Given P= Q+ R, and P, Q and R are inner angles in a triangle. Thus P+ Q+ R= 1... | 87,313 |
<|im_start|>user
What distance (in meters) will be covered by a bus moving at 54 km/hr in 30 seconds?
Answer Choices: (A) 390 (B) 420 (C) 450 (D) 480 (E) 510<|im_end|>
<|im_start|>assistant
<think>
</think>
54 km/hr = 54 * 5/18 = 15 m/s
distance = 15 * 30 = 450 meters
The answer is C<|endoftext|> | 688 |
<|im_start|>user
At a constant Rate of flow, it takes 30 minutes to fill a swimming pool if a large hose is used and 45 minutes if a small hose is Used. At these constant rates, how many minutes will it take to fill the pool when both hoses are used simultaneously?
Answer Choices: (A) 20 (B) 22 (C) 18 (D) 16 (E) 14<|im... | 72,611 |
<|im_start|>user
The number of new words that can be formed by rearranging the letters of the word 'FACEUP' is ?
Answer Choices: (A) 720 (B) 719 (C) 220 (D) 178 (E) 266<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of words which can be formed = 6! - 1
= 720 - 1
=719.
The answer is B<|endoftext|> | 50,782 |
<|im_start|>user
Two mechanics were working on your car. One can complete the given job in six hours, but the new guy takes 10 hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car?
Answer Choice... | 87,841 |
<|im_start|>user
How many different types of stresses are there?
Answer choice: (A) five (B) four (C) seven (D) three<|im_end|>
<|im_start|>assistant
<think>
</think>
Stress is the force applied to a rock. There are four types of stresses:.
The answer is B<|endoftext|> | 486 |
<|im_start|>user
Mohit sold an article for $15000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
Answer Choices: (A) 12500 (B) 25000 (C) 15000 (D) 18000 (E) 17000<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the CP be $x.
Had... | 81,217 |
<|im_start|>user
Find the odd man out. 742, 743, 633, 853, 871, 990, 532
Answer Choices: (A) 532 (B) 990 (C) 633 (D) 742 (E) 871<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
In all numbers except 742, the difference of third and first digit is the middle digit.
The answer is D<|endoftext|> | 40,108 |
<|im_start|>user
Mangala completes a piece of work in 14 days, Raju completes the same work in 30 days. If both of them work together, then the number of days required to complete the work is?
Answer Choices: (A) 8 3/4 days (B) 10 1/2 days (C) 9 1/2 days (D) 12 1/4 days (E) 14 1/4 days<|im_end|>
<|im_start|>assistant
<... | 54,733 |
<|im_start|>user
How many odd 4-digit positive integers Q that are multiples of 5 can be formed without using the digit 3?
Answer Choices: (A) 648 (B) 729 (C) 900 (D) 1296 (E) 3240<|im_end|>
<|im_start|>assistant
<think>
</think>
I choose A.
Possible n° of 1st digit: 8 (0 can't be the first number, or else it wouldn'... | 69,102 |
<|im_start|>user
When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1/7 taller than it was at the end of the 4th year. By how many feet did the height of the tree increase each year... | 54,095 |
<|im_start|>user
The angles of a triangle are in the ratio 1 : 3 : 8. Find the measurement of the 3angles of triangle.
Answer Choices: (A) 100° (B) 110° (C) 120° (D) 180° (E) 190°<|im_end|>
<|im_start|>assistant
<think>
</think>
If the ratio of the three angles is 1:3:8, then the measures of these angles can be writt... | 62,123 |
<|im_start|>user
A corporation paid $5 million in federal taxes on its first $50 million of gross profits and then $30 million in federal taxes on the next $150 million in gross profits. By approximately what percent did the ratio of federal taxes to gross profits increase from the first $50 million in profits to the n... | 54,928 |
<|im_start|>user
The average of Suresh’s marks in English and History is 55. His average of marks in English and Science is 65. What is the difference between the marks which he obtained in History and Science?
Answer Choices: (A) 40 (B) 60 (C) 20 (D) Data inadequate (E) None of the above<|im_end|>
<|im_start|>assistan... | 94,529 |
<|im_start|>user
Which layer of the earth is molten?
Answer choice: (A) the inner core (B) the outer core (C) the metallic core (D) the mantle<|im_end|>
<|im_start|>assistant
<think>
</think>
The dense, iron core forms the center of the Earth. Scientists know that the core is metal. The inner core is solid, and the o... | 8,640 |
<|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... | 4,260 |
<|im_start|>user
3 men and 7 women can complete a work in 10 days . But 4 men and 6 women need 8 days to complete the same work . In how many days will 10 women complete the same work?
Answer Choices: (A) 50 (B) 40 (C) 30 (D) 20 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Work done by 4 men ... | 36,668 |
<|im_start|>user
Each shelf of a bookcase contained 11 books. If the librarian took out 30 books and rearranged the remaining books so that all shelves but the last one contained 7 books and that last shelf contained 5 books, how many shelves does the bookcase have?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9<|im_end... | 16,076 |
<|im_start|>user
A hot-water heating system uses what type of energy to heat water?
Answer choice: (A) thermal energy (B) negative energy (C) potential energy (D) atmospheric energy<|im_end|>
<|im_start|>assistant
<think>
</think>
A hot-water heating system uses thermal energy to heat water and then pumps the hot wat... | 5,702 |
<|im_start|>user
The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is?
Answer Choices: (A) 35 (B) 25 (C) 40 (D) 52 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Excluded number = 27*5-25*4 = 135-100 = 35
The answer is A<|endoftext|> | 48,039 |
<|im_start|>user
If 12 men can reap 120 acres of land in 36 days, how many acres of land can 24 men reap in 62 days?
Answer Choices: (A) 266.5 (B) 413.3 (C) 425.8 (D) 189.3 (E) 249.6<|im_end|>
<|im_start|>assistant
<think>
</think>
12 men 120 acres 36 days
24 men ? 62 days
120 * 24/12 * 62/36
120 * 2 *31/18
240* 1.72... | 25,438 |
<|im_start|>user
1/x+1/y=1/z where x=12 and y,z positive integer how many possible value of y and z ?
Answer Choices: (A) 4 (B) 7 (C) 12 (D) 15 (E) infinite<|im_end|>
<|im_start|>assistant
<think>
</think>
1/12 = 1/z - 1/y
y = 12 * z / ( 12 - z )
0 < z < 12
Only for z = 3 ,4 ,6 ,8 , 9 ,10 and 11 , y is intiger
Hence ... | 15,633 |
<|im_start|>user
Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
Answer Choices: (A) 1500 (B) 2677 (C) 1997 (D) 2677 (E) 1971<|im_end|>
<|im_start|>assistant
<think>
</think>
P = 15(100/10)2 => P = 1500
The answer is A<|endoftext|> | 93,222 |
<|im_start|>user
A can do a piece of work in 28 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in ?
Answer Choices: (A) 3 days (B) 5 days (C) 6 days (D) 7 days (E) 11 days<|im_end|>
<|im_start|>assistant
<think>
</think>
B's 9 day's work = 9 x (1/12) = 3/4
Remaining work = ... | 54,347 |
<|im_start|>user
A man walks at a rate of 10 mph. After every ten miles, he rests for 7 minutes. How much time does he take to walk 50 miles?
Answer Choices: (A) 300 (B) 318 (C) 322 (D) 328 (E) 330<|im_end|>
<|im_start|>assistant
<think>
</think>
To cover 50 miles the man needs (time) = (distance)/(rate) = 50/10... | 52,207 |
<|im_start|>user
The lowest number which should be added to 8247 so that the sum is exactly divisible by 5, 6, 7, 8 and 9 is:
Answer Choices: (A) 1833 (B) 1853 (C) 1733 (D) 1233 (E) 1832<|im_end|>
<|im_start|>assistant
<think>
</think>
L.C.M. of 5, 6, 7, 8 and 9 = 2520.
On dividing 8247 by 2520, the remainder is 687.... | 23,720 |
<|im_start|>user
total 36 matches are conducted in Knockout match type. How many players will be participated in that tournament?
Answer Choices: (A) 35 (B) 36 (C) 21 (D) 32 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
35 players
The answer is A<|endoftext|> | 54,069 |
<|im_start|>user
A project scheduled to be carried out over a single fiscal year has a budget of $18,000, divided into 12 equal monthly allocations. At the end of the fourth month of that fiscal year, the total amount actually spent on the project was $6500. By how much was the project over its budget?
Answer Choices: ... | 74,353 |
<|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... | 4,016 |
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