text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
Which of the following CAN be the least common multiple of two positive integers 15 and 30?
Answer Choices: (A) 15 (B) 30 (C) 10 (D) 5 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
LCM of 15,30 is 30
The answer is B<|endoftext|> | 3,112 |
<|im_start|>user
What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
Answer Choices: (A) 5% (B) 6% (C) 4 1/2% (D) 3 1/2 % (E) 4%<|im_end|>
<|im_start|>assistant
<think>
</think>
160 = (180*4*R)/100
R = 5%
The answer is A<|endoftext|> | 53,954 |
<|im_start|>user
The sum of three consecutive odd natural numbers, each divisible by 3 is 72. What is the largest among them?
Answer Choices: (A) 21 (B) 24 (C) 27 (D) 36 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the 3 consecutive odd numbers each divisible by 3 be X, X+3, X+6
Given, X + X+3 + X+6 = ... | 73,791 |
<|im_start|>user
Of the three-digit positive integers whose three digits are all different and nonzero, how many are odd integers greater than 700?
Answer Choices: (A) 84 (B) 91 (C) 100 (D) 105 (E) 243<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of combinations for type 1 : 1*7*4 = 28
Number of combinatio... | 62,037 |
<|im_start|>user
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
Answer Choices: (A) 1 kmph (B) 4 kmph (C) 5 kmph (D) 7 kmph (E) 8 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
DS = 6
US = 4
S = ?
S = (6 - 4)/2 = 1 kmph
The answer is A<|endoftext|> | 33,981 |
<|im_start|>user
A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 50, how many horses are there ?
Answer Choices: (A) 10 (B) 12 (C) 14 (D... | 92,629 |
<|im_start|>user
Find the unit's digit in the product 2467 153 * 34172?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Unit's digit in the given product=Unit's digit in 7 153 * 172
Now 7 4 gives unit digit 1
7 152 gives unit digit 1
7 153 gives 1*7=7.Also 172 gives 1
He... | 23,237 |
<|im_start|>user
Bert and Rebecca were looking at the price of a condominium. The price of the condominium was 80% more than Bert had in savings, and separately, the same price was also 20% more than Rebecca had in savings. What is the ratio of what Bert has in savings to what Rebecca has in savings.
Answer Choices: (A... | 93,984 |
<|im_start|>user
In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together?
Answer Choices: (A) 720 (B) 790 (C) 800 (D) 820 (E) 840<|im_end|>
<|im_start|>assistant
<think>
</think>
Option 'A'
The answer is A<|endoftext|> | 13,048 |
<|im_start|>user
If two of the four expressions x+y, x+5y, x-y, and 5x-y are chosen at random, what is the probability Q that their product will be of the form of x^2-(by)^2, where b is an integer?
Answer Choices: (A) Q=1/2 (B) Q=1/3 (C) Q=1/4 (D) Q=1/5 (E) Q=1/6<|im_end|>
<|im_start|>assistant
<think>
</think>
Only ... | 44,453 |
<|im_start|>user
The ratio between the sale price and the cost price of an article is 8:5. What is the ratio between the profit and the cost price of that article?
Answer Choices: (A) 23 (B) 1:2 (C) 2:5 (D) 3:5 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
C.P. = Rs. 5x and S.P. = Rs. 8x.
Then, Gain = Rs. 3... | 3,567 |
<|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... | 5,119 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
A euphemism is a polite or indirect expression that is used to de-emphasize an unpleasant topic.... | 2,388 |
<|im_start|>user
A sales staff is composed of a sales manager and two sales people, all of whom earn commission as a percentage of sales. Each sales person earns 5% commission on sales. In a given week, the sales staff earned a total of $2,000 in commissions on $5,000 worth of sales. What commission rate did the sales ... | 48,606 |
<|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 1/10. For a group of 400 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Answer Choices: (A) 240 (B) 24... | 67,478 |
<|im_start|>user
A does a work in 20 days and B does the same work in 30 days. In how many days they together will do the same work ?
Answer Choices: (A) 5 days (B) 6 days (C) 9 days (D) 12 days (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Firstly we will find 1 day work of both A a... | 88,931 |
<|im_start|>user
The frequency of sound waves is measured in what unit?
Answer choice: (A) watt (B) rads (C) hertz (D) decibel<|im_end|>
<|im_start|>assistant
<think>
</think>
The frequency of sound waves is measured in hertz (Hz), or the number of waves that pass a fixed point in a second. Human beings can normally ... | 10,802 |
<|im_start|>user
Three sets of 90, 50 and 70 students appeared for an examination and the pass percentage was 50, 90 and 70 respectively. the pass percentage of the whole set is
Answer Choices: (A) 69.19% (B) 66.19% (C) 66.29% (D) 65.19% (E) 68.19%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
total p... | 74,607 |
<|im_start|>user
A password for a computer is six digits from 0 and 9. The six digit number is a prime number. What is the approximate probability that the last digit is a 3?
Answer Choices: (A) 1/4 (B) 1/6 (C) 1/10 (D) 1/20 (E) 1/50<|im_end|>
<|im_start|>assistant
<think>
</think>
If the last digit is 0, 2, 4, 6, or... | 66,696 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
An idiom is an expression that cannot be understood literally. Its meaning must be learned.
The ... | 5,938 |
<|im_start|>user
In what time will a railway train 30 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Answer Choices: (A) 5 sec (B) 4 sec (C) 3 sec (D) 6 sec (E) 1 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
T = 30/36 * 18/5 = 3 sec
The answer is C<|endoftext|> | 91,208 |
<|im_start|>user
What is Newton's First Law of Motion?
Answer choice: (A) Newton's First Law of Motion states that force is equal to mass times acceleration. (B) Newton's First Law of Motion defines the relationship between potential and kinetic energy. (C) Newton's First Law of Motion, also known as the law of inertia... | 1 |
<|im_start|>user
At a certain committee meeting only associate professors and assistant professors are present. Each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. If a total of 10 pencils and 5 charts have been brought to the meet... | 23,573 |
<|im_start|>user
On January 1, 2010, Dave invests 70% of his retirement savings in Antarctic largecap stocks, 20% in Antarctic midcaps, and 10% in Antarctic smallcaps. In 2010, largecaps rise 5%, midcaps rise 10%, and smallcaps rise 15% in the Antarctic stock market; however, in 2011, largecaps fall 10% and midcaps fal... | 16,646 |
<|im_start|>user
For every integer n ≥ 3, the function h(n) is defined as the product of all the odd integers from 1 to n, inclusive. What is the value of h(102) – h(101)?
Answer Choices: (A) 102 (B) 0 (C) 101 (D) 98 (E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
h(101) = 1*3*5*7*9*...*99*101
h(102) = 1*3*5... | 78,459 |
<|im_start|>user
A man can row with a speed of 15 kmph in still water. If the stream flows at 1 kmph, then the speed in downstream is?
Answer Choices: (A) 16 (B) 77 (C) 20 (D) 99 (E) 71<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 15
S = 1
DS = 15 + 1 = 16
The answer is A<|endoftext|> | 81,414 |
<|im_start|>user
The length of the bridge, which a train 135 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Answer Choices: (A) 76 m (B) 178 m (C) 240 m (D) 187 m (E) 176 m<|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 br... | 59,953 |
<|im_start|>user
Which is better investment, 12% stock at par with an income tax at the rate of 5paise per rupee or 14 2/7 % stock at 120 free from income tax
Answer Choices: (A) 12% (B) 142/7 % (C) Both are qually good (D) cannot compared (E) none of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the inv... | 54,032 |
<|im_start|>user
A restaurant meal cost $40 and there was no tax. If the tip was more than 5 percent but less than 15 percent of the cost of the meal, then total amount paid must have been between:
Answer Choices: (A) $40 and $42 (B) $41 and $46 (C) $41 and 45 (D) $43 and $46 (E) $41 and $47<|im_end|>
<|im_start|>assis... | 2,451 |
<|im_start|>user
39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Answer Choices: (A) 11 (B) 13 (C) 55 (D) 76 (E) 81<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the required number of days be x.
Less perso... | 29,605 |
<|im_start|>user
What is the main cause of outdoor air pollution?
Answer choice: (A) methane from livestock (B) aerosol spray (C) chimneys (D) burning of fossil fuels<|im_end|>
<|im_start|>assistant
<think>
</think>
The main cause of outdoor air pollution is the burning of fossil fuels. Outdoor air pollution causes h... | 4,130 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All organisms have pieces of hereditary material called genes, which are passed from parents to offspring. Genes contain instructions for building the parts of an organism. An organism's genes affect its observable traits, i... | 5,614 |
<|im_start|>user
A man buy a book in Rs50 & sale it Rs60. What is the rate of profit ???
Answer Choices: (A) 10% (B) 20% (C) 30% (D) 25% (E) 28%<|im_end|>
<|im_start|>assistant
<think>
</think>
cp=50
sp=60
profit=60-50=10
%=10/50*100=20%
The answer is B<|endoftext|> | 49,543 |
<|im_start|>user
The larger interior angle of a parallelogram is 90° more than its smaller interior angle. What is the measure of the smaller interior angle of the parallelogram?
Answer Choices: (A) 90° (B) 75° (C) 60° (D) 45° (E) 30°<|im_end|>
<|im_start|>assistant
<think>
</think>
let smaller be x ,larger becomes x... | 46,585 |
<|im_start|>user
Sn=1^8+2^8+3^8+----------n^8
find the unit digit of S29
Answer Choices: (A) 6 (B) 5 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
unit digit of-
1^8=1
2^8=6
3^8=1
4^8=6
5^8=5
6^8=6
7^8=1
8^8=6
9^8=1
so 1+6+1+6+5+6+1+6+1=33 so from here we get 3 as unit digit for 1^8+2^8+.....+9^8... | 19,251 |
<|im_start|>user
There are 24 students in Chad’s class. He brought 29 cookies to pass out
for his birthday. How many cookies will each student get? Will there be
any cookies left over?
Answer Choices: (A) 1-9 (B) 1-7 (C) 2-8 (D) 1-5 (E) 3-10<|im_end|>
<|im_start|>assistant
<think>
</think>
29/24 = 1 R 5 Chad will giv... | 25,394 |
<|im_start|>user
Winson's shop runs a sale on goldfish and platys. If one customer buys 13 goldfish and 12 platys for $5.60, and another buys 14 goldfish and 21 platys for $8.05, what is the ratio of the price of goldfish to platys?
Answer Choices: (A) 0.8 (B) 0.75 (C) c) 8/9 (D) 5/7 (E) 6/8<|im_end|>
<|im_start|>assi... | 24,569 |
<|im_start|>user
A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 15 brown mice in the experiment, how many mice in total are in the experiment?
Answer Choices: (A) 45 (B) 33 (C) 26 (D) 21 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Let t... | 88,275 |
<|im_start|>user
If half of 5 were 3, that would one-third of 10 be
Answer Choices: (A) 2 (B) 4 (C) 6 (D) 8 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Half of 5 is 2.5. But given as 3. So take 1/2 of 5x = 3 ⇒ x = 6/5
Now 1/3 (10x) = 1/3 × 10 × 6/5 = 4.
The answer is B<|endoftext|> | 2,407 |
<|im_start|>user
Calculate the HCF of 69, 561, 963
Answer Choices: (A) 4 (B) 5 (C) 22 (D) 3 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Lets solve this question by factorization method.
The factors of 69 are: 1, 3, 23, 69
The factors of 561 are: 1, 3, 11, 17, 33, 51, 187, 561
The factors of 96... | 49,113 |
<|im_start|>user
If the day before yesterday was Wednesday, when will Sunday be?
Answer Choices: (A) Day after tomorrow (B) Tomorow (C) Two days after today (D) Today (E) none<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Day before yesterday was Wednesday
=>Yesterday was a Thursday
=> Today is a Frid... | 29,638 |
<|im_start|>user
A retailer sells 7 shirts. The first 2 he sells for $38 and $42. If the retailer wishes to sell the 7 shirts for an overall average price of over $50, what must be the minimum average price of the remaining 5 shirts?
Answer Choices: (A) $54.00 (B) $57.00 (C) $58.00 (D) $60.50 (E) $63.00<|im_end|>
<|im_... | 75,403 |
<|im_start|>user
In expressing a length of 55.471 km as nearly as possible with the three significant digits, find the percentage error
Answer Choices: (A) 0.52% (B) 0.24% (C) 0.052% (D) 0.024% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Error = (55.5 - 55.471) = 0.029
Required per... | 62,275 |
<|im_start|>user
A train 100 m long crosses a platform 125 m long in 15 sec; find the speed of the train?
Answer Choices: (A) 52 kmph (B) 14 kmph (C) 54 kmph (D) 58 kmph (E) 24 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 100 + 125 = 225
T = 15
S = 225/15 * 18/5 = 54 kmph
The answer is C<|endoftext|> | 39,285 |
<|im_start|>user
A person distributed 15% of his income to his 3 children each. He deposited 30% of his income to his wife's account. He donated 5% of remaining amount to an orphan house.Finally he has $40000. Find his total income?
Answer Choices: (A) A) 452000 (B) B) 200000 (C) C) 800000 (D) D) 500000 (E) E) 652000<|... | 94,750 |
<|im_start|>user
Patrick purchased 60 pencils and sold them at a loss equal to the selling price of 20 pencils. The cost of 60 pencils is how many times the selling price of 60 pencils?
Answer Choices: (A) 0.75 (B) 0.8 (C) 1 (D) 1.33 (E) 1.75<|im_end|>
<|im_start|>assistant
<think>
</think>
Say the cost price of... | 23,840 |
<|im_start|>user
x men working x hours per day can do x units of a work in xx days. How much work can be completed by y men working y hours per day in y days?
Answer Choices: (A) x2/y2 units (B) y3/x2 units (C) x3/y2 units (D) y2/x2 units (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let amou... | 34,769 |
<|im_start|>user
If inflation increases at a rate of 8 p.c.p.a. what will a 20 article cost at the end of two years?
Answer Choices: (A) Between 20 and 21 (B) Between 21 and 22 (C) Between 22 and 23 (D) Between 23 and 24 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Required sum
= 20(1+8/100)2=20... | 79,066 |
<|im_start|>user
If cost of sugar increases by 25%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
Answer Choices: (A) 10% (B) 15% (C) 20% (D) 25% (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
100
125
-----
125 ----- 25
100 ------ ? => 20%
The answer is C<|en... | 26,621 |
<|im_start|>user
A sum of money at simple interest amounts to $ 680 in 3 years and to $710 in 4 years. The sum is:
Answer Choices: (A) $153 (B) $698 (C) $590 (D) $549 (E) $675<|im_end|>
<|im_start|>assistant
<think>
</think>
C
$590
S.I. for 1 year = $(710- 680) = $30.
S.I. for 3 years = $(30 x 3) = $90.
Principal = $... | 42,653 |
<|im_start|>user
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 2000, the number of valid votes that the other candidate got, was:
Answer Choices: (A) 900 (B) 750 (C) 250 (D) 600 (E) 800<|im_end|>
<|im_start|>assistant
<think>... | 92,071 |
<|im_start|>user
A watch was sold at a loss of 12%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Answer Choices: (A) 875 (B) 2876 (C) 1977 (D) 2778 (E) 2711<|im_end|>
<|im_start|>assistant
<think>
</think>
88%
104%
--------
16% ---- 140
100% ---- ? => Rs.875
The answer i... | 45,465 |
<|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... | 5,104 |
<|im_start|>user
On a certain Monday, Carlos drove to work at an average speed of 50 miles per hour and home from work along exactly the same route at an average speed of 40 miles per hour. Which of the following is closest to his average speed for both trips combined?
Answer Choices: (A) 40 (B) 44.44 (C) 42 (D) 46 (E)... | 58,910 |
<|im_start|>user
If it takes 4 movers 40 minutes to unpack their van, how long would 5 movers take?
Answer Choices: (A) 38 minutes (B) 35 minutes (C) 32 minutes (D) 29 minutes (E) 26 minutes<|im_end|>
<|im_start|>assistant
<think>
</think>
4 * 40 = 5 * x
x = 32
The answer is C<|endoftext|> | 20,266 |
<|im_start|>user
How many three digit numbers that do not contain the digit 2 are there?
Answer Choices: (A) 100 (B) 200 (C) 512 (D) 648 (E) 729<|im_end|>
<|im_start|>assistant
<think>
</think>
8*9*9 = 648: 8 options for the first digit (no 0, no 2) and 9 options for each of the remaining digits (no 2 there).
The ans... | 54,691 |
<|im_start|>user
Of the five numbers in a sequence, the first term is 5,000, and each of the following terms is 20% of the previous term. What is the value range of the five numbers?
Answer Choices: (A) 4,992 (B) 9,750 (C) 9,975 (D) 9,984 (E) 10,736<|im_end|>
<|im_start|>assistant
<think>
</think>
1st number= 5,000
2... | 76,335 |
<|im_start|>user
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 140 marks, the no of questions he attempts correctly is :
Answer Choices: (A) A) 35 (B) B) 38 (C) C) 90 (D) D) 88 (E) E) 40<|im_end|>
<|im_start|>ass... | 96,209 |
<|im_start|>user
If a 3-member subcommittee is to be formed from a certain 6-member committee, how many different such subcommittee are possible?
Answer Choices: (A) 6 (B) 18 (C) 20 (D) 108 (E) 216<|im_end|>
<|im_start|>assistant
<think>
</think>
1st member can be selected in 6 ways
2nd can be selected in 5 ways
3rd ... | 27,115 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
A euphemism is a polite or indirect expression that is used to de-emphasize an unpleasant topic.... | 3,679 |
<|im_start|>user
An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Answer Choices: (A) 33 1/8% (B) 33 8/3% (C) 33 1/3% (D) 35 1/3% (E) 32 1/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
675 ---- 225
100 ---- ? => 33 1/3%
The answer is C<|endoftext|> | 83,787 |
<|im_start|>user
What do molecules need to do for a reaction to take place?
Answer choice: (A) collide (B) explode (C) melt (D) separate<|im_end|>
<|im_start|>assistant
<think>
</think>
Molecules need to collide in order for a reaction to take place.
The answer is A<|endoftext|> | 9,049 |
<|im_start|>user
When all the students in a school are made to stand in rows of 45, 40 such rows are formed. If the students are made to stand in rows of 40, how many such rows will be formed ?
Answer Choices: (A) 31 (B) 36 (C) 45 (D) 40 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Total numbe... | 19,363 |
<|im_start|>user
Fresh grapes contain 85% water by weight and raisins obtained by drying fresh grapes contain 25% water by weight. How many kgs of fresh grapes are needed to get 20kgs of raisins?
Answer Choices: (A) 75 kgs (B) 64kgs (C) 100 kgs (D) 65 kgs (E) 70 kgs<|im_end|>
<|im_start|>assistant
<think>
</think>
Th... | 67,722 |
<|im_start|>user
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 24 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Answer Choices... | 58,512 |
<|im_start|>user
A tank contains 8,000 gallons of a solution that is 4 percent sodium chloride by volume. If 3,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Answer Choices: (A) 3.40% (B) 4.40% (C) 5.40% (D) 6.40% (E) 7.40%<|im_end|>
<|im_st... | 33,359 |
<|im_start|>user
If you multiply all the numbers on your mobile phone except 0, what is the answer?
Answer Choices: (A) 256485 (B) 362880 (C) 125425 (D) 0 (E) 125826<|im_end|>
<|im_start|>assistant
<think>
</think>
We have to multiply 1 to 9 to find the answer.
Therefore 1*2*3*4*5*6*7*8*9=362880
The answer is B<|endo... | 42,477 |
<|im_start|>user
What bonds cause water to have a high boiling point, leaving most water on earth in a liquid state rather than in a gaseous state?
Answer choice: (A) hydrogen bonds (B) potassium bonds (C) carbon bonds (D) helium bonds<|im_end|>
<|im_start|>assistant
<think>
</think>
Hydrogen bonds cause water to hav... | 5,812 |
<|im_start|>user
After decreasing 24% in the price of an article costs Rs.836. Find the actual cost of an article?
Answer Choices: (A) 1218 (B) 2777 (C) 1100 (D) 2688 (E) 1991<|im_end|>
<|im_start|>assistant
<think>
</think>
CP* (76/100) = 836
CP= 11 * 100 => CP = 1100
The answer is C<|endoftext|> | 47,117 |
<|im_start|>user
What is the population standard deviation for the numbers: 75, 83, 96, 100, 121 and 125?
Answer Choices: (A) 18.2 (B) 20 (C) 25 (D) 26 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
1. Firstly find the mean:
Mean = (75 + 83 + 96 + 100 + 121 + 125) ÷ 6 = 600 ÷ 6 = 100
2. Next find the varianc... | 30,240 |
<|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... | 2,942 |
<|im_start|>user
The greatest number by which the product of three consecutive multiples of 3 is always divisible is
Answer Choices: (A) 54 (B) 76 (C) 152 (D) 162 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Required number = Product of first three multiplies of 3
= (3 × 6 × 9)= 162.
Th... | 4,554 |
<|im_start|>user
The boat moves downside 100km and upside 20km in 2 hours each. Then find the boat speed in still water?
Answer Choices: (A) 15km/hr (B) 25km/hr (C) 30km/hr (D) 20km/hr (E) 40km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Down stream = 100/2 = 50km/hr
Up stream = 20/2 = 10km/hr
speed of boat i... | 42,483 |
<|im_start|>user
Pipe A and pipe B fill water into a tank of capacity 5000 litres, at a rate of 200 l/min and 50 l/min. Pipe C drains at a rate of 25 l/min. Pipe A is open for 1 min and closed, then pipe B is open for 2 min and closed. Further the pipe c is opened and drained for another 2 min. This process is repeated... | 47,991 |
<|im_start|>user
Robert is traveling 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) 13 kmph (C) 12 kmph (D) 18 kmph (E) 97 kmph<|im_end|>
<|... | 28,643 |
<|im_start|>user
In a rectangular coordinate system, points O (2,0), P (2,6), and Q (8,0) represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments?
Answer Choices: (A) (3,4) (B) (... | 34,477 |
<|im_start|>user
There are 8 stores in town that had a total of 24 visitors on a particular day. However, only 12 people went shopping that day; some people visited more than one store. If 9 people visited exactly two stores each, and everyone visited at least one store, what is the largest number of stores anyone coul... | 52,463 |
<|im_start|>user
What are alloys that are mostly composed of mercury known as?
Answer choice: (A) halogens (B) fillings (C) compounds (D) amalgams<|im_end|>
<|im_start|>assistant
<think>
</think>
Alloys that are mostly composed of mercury are known as amalgams . Amalgams often have special properties that stem from t... | 150 |
<|im_start|>user
A, B AND C TOGETHER EARN RS. 300 PER DAY WHILE A AND C TOGETHER EARN RS. 188 AND B AND C TOGETHER EARN RS. 152. THE DAILY EARNING OF C IS:
Answer Choices: (A) RS. 40 (B) RS. 68 (C) RS. 112 (D) RS. 150 (E) NONE OF THESE<|im_end|>
<|im_start|>assistant
<think>
</think>
B'S DAILY EARNING = RS. (300-188)... | 79,661 |
<|im_start|>user
For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 95 units raises the average to 55 units per day, what is the value of n?
Answer Choices: (A) 6 (B) 7 (C) 8 (D) 9 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
The average ... | 94,606 |
<|im_start|>user
3,5,11,29,83,245,?
Answer Choices: (A) 731 (B) 728 (C) 715 (D) 705 (E) 645<|im_end|>
<|im_start|>assistant
<think>
</think>
We have to find the differences between the given numbers and then by applying
that number with 3 we can get the result
5-3=2
See here the result is 2,then multiply it with 3
11... | 73,757 |
<|im_start|>user
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is
Answer Choices: (A) 4 : 9 (B) 4 : 3 (C) 4 : 12 (D) 4 : 8 (E) 4 : 5<|im_end|>
<|im_sta... | 55,914 |
<|im_start|>user
The perimeter of a semi circle is 144 cm then the radius is?
Answer Choices: (A) 25 cm (B) 28 cm (C) 30 cm (D) 35 cm (E) 40 cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
36/7 r = 144 => r = 28
The answer is B<|endoftext|> | 47,523 |
<|im_start|>user
The expression (5x-2)/(x+3) is equivalent to which of the following?
Answer Choices: (A) (5-2) /3 (B) 5 – (2/3) (C) 5 – (x) /(x+3) (D) 5 – (17) /(x+3) (E) 5 + (17) /(x+3<|im_end|>
<|im_start|>assistant
<think>
</think>
iven asked to find the value of (5x-2)/(x+3)...
Now take X as 1 then we get 3/4... | 96,300 |
<|im_start|>user
If a = 1 and b = -2, then (2a^2 + b)(w + y) + (a + b)(w - y) =
Answer Choices: (A) 0 (B) 2x (C) y - w (D) x - y (E) x + y<|im_end|>
<|im_start|>assistant
<think>
</think>
Putting A=1 and B = -2 => 2A^2-B=0 ; so the first part of the term is zero
with second term => (1-2) *(w+y)=y-w => Smash C
The ans... | 50,123 |
<|im_start|>user
Crew A can build a complete car in 20 minutes and Crew B can build a complete car in 25 minutes. If both crews work independently and start at the same time, what is the shortest amount of time Q it could take for 10 cars to be complete?
Answer Choices: (A) 111 1/9 minutes (B) 115 2/5 minutes (C) 116 m... | 82,920 |
<|im_start|>user
Uranium is an example of a non-renewable resource used to produce what type of power?
Answer choice: (A) water (B) nuclear (C) wind (D) electrical<|im_end|>
<|im_start|>assistant
<think>
</think>
Some resources can’t be renewed. At least, they can’t be renewed fast enough to keep up with use. Fossil ... | 3,772 |
<|im_start|>user
The speed of a boat in upstream is 45 kmph and the speed of the boat downstream is 60 kmph. Find the speed of the boat in still water and the speed of the stream?
Answer Choices: (A) 7.5 kmph (B) 17.5 kmph (C) 12.5 kmph (D) 5.5 kmph (E) 8.5 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed ... | 79,242 |
<|im_start|>user
A positive number x is multiplied by 10, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?
Answer Choices: (A) 9/4 (B) 3/2 (C) 4/3 (D) 2/3 (E) 10/3<|im_end|>
<|im_start|>assistant
<think>
</think>
sq rt(10x... | 57,606 |
<|im_start|>user
A train 100 m long crosses a platform 125 m long in 40 sec; find the speed of the train?
Answer Choices: (A) 36.21 (B) 77.11 (C) 54.12 (D) 33.0 (E) 20.25<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 100 + 125 = 225
T = 40
S = 225/40 * 18/5 = 20.25 kmph
The answer is E<|endoftext|> | 38,509 |
<|im_start|>user
Three numbers are in the ratio 4 : 5 : 6 and their average is 42 . The largest number is:
Answer Choices: (A) 28 (B) 32 (C) 36 (D) 50.4 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the numbers be 4x, 5x and 6x. Therefore,
(4x+5x+6x)/3 = 42
15x = 126
x = 8.4
Largest number ... | 50,415 |
<|im_start|>user
How do reptiles typically reproduce?
Answer choice: (A) cloning (B) live birth (C) asexually (D) sexually<|im_end|>
<|im_start|>assistant
<think>
</think>
Reptiles typically reproduce sexually and lay eggs.
The answer is D<|endoftext|> | 11,635 |
<|im_start|>user
If a certain number is divisible by 36 and 52, it is NOT necessarily divisible by which of the following?
Answer Choices: (A) 4 (B) 6 (C) 13 (D) 16 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
If a certain number is divisible by 36 and 52, it is NOT necessarily divisible by which of the fo... | 80,197 |
<|im_start|>user
The length of a rectangular floor is more than its breadth by 200%. If Rs.441 is required to paint the floor at the rate of Rs.3/sq m, what would be the length of the floor?
Answer Choices: (A) 12 (B) 18 (C) 20 (D) 21 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length and the brea... | 67,644 |
<|im_start|>user
Ken bought 2Q steaks for W dollars. Jerome buys R steaks for a 50% discount, how much will the steaks cost him in cents?
Answer Choices: (A) 50RW/Q. (B) 50QR/W. (C) 25RQ/W. (D) 25RW/Q. (E) RW/(4Q) .<|im_end|>
<|im_start|>assistant
<think>
</think>
Ken bought 2Q steaks for W dollars, so 1 steak = W/2Q... | 87,899 |
<|im_start|>user
The sun and all objects held by it's gravity make up the?
Answer choice: (A) solar system (B) milky way (C) planet (D) atmosphere<|im_end|>
<|im_start|>assistant
<think>
</think>
The Sun and all the objects held by its gravity make up the solar system.
The answer is A<|endoftext|> | 10,768 |
<|im_start|>user
If 0.75: x :: 5:6, then x is equal to:
Answer Choices: (A) 1.12 (B) 1.16 (C) 1.2 (D) 0.9 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(x * 5) = (0.75 *6)
X=4.5/5 = 0.9
The answer is D<|endoftext|> | 73,170 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Matter is made of very small particles called atoms. Atoms can be linked together by chemical bonds. When two or more atoms link together, they form a molecule.
In a chemical change, the chemical bonds in the molecules break... | 3,352 |
<|im_start|>user
In what time will a train 120 meters long cross an electric pole, if its speed is 184 km/hr
Answer Choices: (A) 5 seconds (B) 4.5 seconds (C) 3 seconds (D) 2.3 seconds (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
First convert speed into m/sec
Speed = 184*(5/18) = 5... | 50,017 |
<|im_start|>user
A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone?
Answer Choices: (A) 1 1/9 days (B) 1 1/2 days (C) 1 3/2 days (D) 1 2/2 days (E) 1 5/2 days<|im_end|>
<|im_start|>assistant
<... | 51,932 |
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