text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
You and your friend spent a total of $17 for lunch. Your friend spent $3 more than you. How much did your friend spend on their lunch?
Answer Choices: (A) $9 (B) $3 (C) $4 (D) $10 (E) $5<|im_end|>
<|im_start|>assistant
<think>
</think>
My lunch = l, my friends lunch = l+3
(l)+(l+3)=17
l+l+3-3=17-3
2l... | 36,390 |
<|im_start|>user
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 175 m length?
Answer Choices: (A) 12.9 sec (B) 12.1 sec (C) 17.9 sec (D) 16.8 sec (E) 14.25 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 72 * 5/18 = 20 m/sec
Total distance covered = 110 + 175 = ... | 5,570 |
<|im_start|>user
Five years ago, the average age of A, B, C and D was 45 years. With E Joining them now, the average of all the five is 51 years. The age of E is?
Answer Choices: (A) 45 (B) 47 (C) 55 (D) 49 (E) 46<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
5 years ago average age of A,B,C,D = 45 years
... | 43,673 |
<|im_start|>user
A can finish a work in 24 days, B n 9 days and C in 12 days. B&C start the
work but are forced to leave after 3 days. The remaining work done by A in:
Answer Choices: (A) 12days (B) 13days (C) 11days (D) 10days (E) 9days<|im_end|>
<|im_start|>assistant
<think>
</think>
(B+C)'s one day's work=1/9+1/12... | 14,021 |
<|im_start|>user
A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $1116 in t... | 34,296 |
<|im_start|>user
Little Texas Drilling Company has three wells, each producing oil at a constant rate. Well A produces one barrel every two minutes. Well B produces one barrel every three minutes. Well C produces one barrel every four minutes. How many hours does it take Little Texas Drilling Company to produce 205 bar... | 12,847 |
<|im_start|>user
In a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. If pqrs = 1365, and if 1< p < q < r < s, how many students in the class are finance majors?
Answer Choices: (A) 3 (B) 5 (C) 8 (D) 11 ... | 57,000 |
<|im_start|>user
What is the remainder when 2676 * 1487 * 4459 is divided by 12
Answer Choices: (A) 3 (B) 8 (C) 12 (D) 9 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
2679/12==> Remainder=3
1487/12==> Remainder=11
4459/12==> Remainder=7
=3*11*7=231/12==> Remainder=3
The answer is A<|endoftext|> | 7,954 |
<|im_start|>user
A man walks at a speed of 5 km/hr and runs at a speed of 10 km/hr. How much time will the man require to cover a distance of 10 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Answer Choices: (A) 2.5 (B) 3.5 (C) 4 (D) 2 (E) 1.5<|im_end|>
<|im_start|>ass... | 50,540 |
<|im_start|>user
The cost price of a radio is Rs.1500 and it was sold for Rs.1260, find the loss %?
Answer Choices: (A) 18 (B) 16 (C) 26 (D) 17 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
1500 ---- 240
100 ---- ? => 16%
The answer is B<|endoftext|> | 91,656 |
<|im_start|>user
12 + 13 + 14 + ... 51 + 52 + 53+ 54 = ?
Answer Choices: (A) 1419 (B) 1362 (C) 1363 (D) 1364 (E) 1365<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum = 12 + 13 + 14 + ... 51 + 52 + 53 + 54
Sum of n consecutive positive integers starting from 1 is given as n(n+1)/2
Sum of first 54 positive integer... | 22,773 |
<|im_start|>user
In an interview , the probability of appointing Husband is 1/5 while that of wife is
¼.find probability that only one of them get selected in interview.
Answer Choices: (A) 3/20 (B) 4/20 (C) 5/20 (D) 6/20 (E) 7/20<|im_end|>
<|im_start|>assistant
<think>
</think>
p(H)=1/5
p(w)=1/4
P(H bar)=1-1/5=4/5
p... | 38,106 |
<|im_start|>user
A company plans to assign identification numbers to its employees. Each number is to consist of four different digits from 0 to 9, inclusive, except that the first digit cannot be 0. How many different identification numbers are possible?
Answer Choices: (A) 3,024 (B) 4,536 (C) 5,040 (D) 9,000 (E) 10,0... | 44,975 |
<|im_start|>user
What is the perimeter of a regular polygon with sides of length 12 cm and internal angles measuring 120° each?
Answer Choices: (A) 72 cm (B) 108 cm (C) 120 cm (D) 132 cm (E) 144 cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of all interior angles is given by:
180(n-2) = n is number of sides... | 64,413 |
<|im_start|>user
What is the average (arithmetic mean) of the numbers 2, 4, 6, 8, 10, 12, 14 and 16?
Answer Choices: (A) 9 (B) 10 (C) 15 (D) 12 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
avg = sum of observations/number of observations
avg =(2+4+6+8+10+12+14+16)/8 = 9
The answer is A<|endoftext|> | 93,877 |
<|im_start|>user
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Answer Choices: (A) 28 seconds (B) 27 seconds (C) 40 seconds (D) 128 seconds (E) 18 seconds<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2... | 56,135 |
<|im_start|>user
A merchant gains or loses, in a bargain, a certain sum. In a second bargain, he gains 450 dollars, and, in a third, loses 30. In the end he finds he has gained 100 dollars, by the three together. How much did he gain or lose bv the first ?
Answer Choices: (A) 320 (B) -340 (C) -320 (D) 348 (E) None<|im_... | 43,575 |
<|im_start|>user
The sum of the first k positive integers is equal to k(k+1)/2. What is the sum of the integers from a to b, inclusive, where 0<a<b?
Answer Choices: (A) b(b+1) /2 - (a+1) (a+2) /2 (B) b(b+1) /2 - a(a+1) /2 (C) b(b+1) /2 - (a-1) a/2 (D) (b-1) b/2 - (a+1) (a+2) /2 (E) (b-1) b/2 - a(a+1) /2<|im_end|>
<|im_... | 58,197 |
<|im_start|>user
2^(10) + 2^(11) + 2^(12) + ... + 2^(39) + 2^(40) =
Answer Choices: (A) 2^8(2^(29) -1) (B) 2^9(2^(30) -1) (C) 2^10(2^(31) -1) (D) 2^11(2^(32) -1) (E) 2^12(2^(33) -1) <|im_end|>
<|im_start|>assistant
<think>
</think>
2^(10) + 2^(11) + 2^(12) + ... + 2^(39) + 2^(40) =
2^(10)*(1+2+4+...+2^(30)) =
2^(... | 74,884 |
<|im_start|>user
Bones are far from static, or unchanging. instead, they are what?
Answer choice: (A) dynamic (B) continuous (C) stable (D) fluid<|im_end|>
<|im_start|>assistant
<think>
</think>
Bones are far from static, or unchanging. Instead, they are dynamic, living tissues that are constantly being reshaped. Und... | 5,630 |
<|im_start|>user
What mineral is used to produce glass?
Answer choice: (A) quartz (B) lead (C) feldspar (D) pyrite<|im_end|>
<|im_start|>assistant
<think>
</think>
Silver is used to make sterling silver jewelry. Table salt is the mineral halite. Glass is produced from the mineral quartz.
The answer is A<|endoftext|> | 6,330 |
<|im_start|>user
A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 27, what is the total amount?
Answer Choices: (A) 388 (B) 105 (C) 288 (D) 266 (E) 281<|im_end|>
<|im_start|>assistant
<think>
</think>
x:y:z = 100:45:30
20:9:6
9 -... | 76,731 |
<|im_start|>user
Jackie has two solutions that are 4 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 12 percent solution will be req... | 2,078 |
<|im_start|>user
At a company, the average wage of male employees is $6 per hour, and the average wage of female employees is $8 per hour. If the average wage of all employees is $7.5 per hour, what is the ratio of the number of male employees to the number of female employees?
Answer Choices: (A) 1 to 3 (B) 2 to 3 (C)... | 64,487 |
<|im_start|>user
A bag contains 7 white balls, 5 black balls, and 4 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?
Answer Choices: (A) 1/2 (B) 1/4 (C) 3/8 (D) 5/12 (E) 2/5<|im_end|>
<|im_start|>assistant
<think>
</think>
The probability for ea... | 64,195 |
<|im_start|>user
What state of matter is like a liquid in that particles are in contact with each other, but unlike liquids in that the intermolecular forces are strong enough to hold the particles in place?
Answer choice: (A) solids (B) plasmas (C) gases (D) fluids<|im_end|>
<|im_start|>assistant
<think>
</think>
A ... | 10,954 |
<|im_start|>user
Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?
Answer Choices: (A) 10 (B) 76 (C) 88 (D) 55 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the time taken to ... | 49,856 |
<|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.
Anaphora is the repetition of the same word or words at the beginning of several phrases or clau... | 4,831 |
<|im_start|>user
In a race of 200 m, A can beat B by 21 m and C by 15 m. In a race of 425 m, C will beat B by ?
Answer Choices: (A) 30 m (B) 75 m (C) 85 m (D) 25 m (E) 15 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
A:B = 100 : 79
A:C = 100 : 85
=> B:C = 79:85
When C covers 85 m , B Covers 79 m
Whe... | 5,545 |
<|im_start|>user
A man cycles round the boundary of a rectangular park at the rate of 12 kmph and completes one full round in 8 minutes. If the ratio between the length and breadth of the park be 3:2, then its area is:
Answer Choices: (A) 1536m2 (B) 15360m2 (C) 153600m2 (D) 163600m2 (E) None of these<|im_end|>
<|im_sta... | 53,047 |
<|im_start|>user
What is the term for a mutually beneficial relationship in which one organism lives inside the other?
Answer choice: (A) parasite (B) symbiosis (C) endosymbiosis (D) parthenogenesis<|im_end|>
<|im_start|>assistant
<think>
</think>
Endosymbiosis We have mentioned that both mitochondria and chloroplast... | 4,400 |
<|im_start|>user
A man can ride on cycle at 35 kmph upward road and 70 kmph downward road. He takes 6 hours to cycle uphill from lower point A to upper point B and back to A. What is the total distance traveled by him in 6 hours? He must return back to base point A in remaining time
Answer Choices: (A) 120 (B) 140 (C) ... | 55,005 |
<|im_start|>user
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Answer Choices: (A) 30/45 hours (B) 30/14 hours (C) 37/13 hours (D) 30/13 hours (E) 30/19 hours<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed do... | 40,091 |
<|im_start|>user
Out of 17 applicants 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.
Answer Choices: (A) 27/34 (B) 29/34 (C) 50/34 (D) 55/34 (E) 60/34<|im_end|>
<|im_start|>assistant
<think>
</think>
=>(9/17+8/16) + (8/17 ... | 38,530 |
<|im_start|>user
The present ages of Reena and Usha are 24 and 36 yr. respectively . What was the ratio between the ages of Usha and Reena respectively 8 yr ago ?
Answer Choices: (A) 7 : 4 (B) 4 : 7 (C) 11 : 8 (D) 8 : 11 (E) 9:12<|im_end|>
<|im_start|>assistant
<think>
</think>
Required ratio = (36 - 8)/(24 - 8) = 28... | 96,909 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An object's velocity describes its speed and its direction.
An object has a constant velocity when neither its speed nor its direction is changing. So, an object has a constant velocity when the object is:
moving in a straig... | 4,512 |
<|im_start|>user
What is the term for a chemical reaction in which a single compound breaks down into two or more simpler substances?
Answer choice: (A) Decomposition reaction. (B) Synthesis reaction. (C) Redox reaction. (D) Acid-base reaction.<|im_end|>
<|im_start|>assistant
<think>
</think>
Decomposition reactions ... | 91 |
<|im_start|>user
The average weight of 24 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
Answer Choices: (A) 48.975 (B) 42.255 (C) 50 (D) 51.255 (E) 52.253<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Average weight of ... | 52,613 |
<|im_start|>user
How many positive integers less than 500 can be formed using the numbers 1,2,3,and 5 for digits, each digit being used only once.
Answer Choices: (A) 22 (B) 34 (C) 73 (D) 26 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Single digit numbers = 4
Double digit numbers = 4 x 3 = 12
Three digit ... | 66,263 |
<|im_start|>user
34.95 + 240.016 + 23.98 = ?
Answer Choices: (A) 298.946 (B) 298.694 (C) 289.496 (D) 289.469 (E) 298.964<|im_end|>
<|im_start|>assistant
<think>
</think>
34.95
240.016
+ 23.98
--------
298.946
The answer is A<|endoftext|> | 31,861 |
<|im_start|>user
If after 400 grams of water were added to the 24%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 24%-solution was used?
Answer Choices: (A) 180 grams (B) 220 grams (C) 400 grams (D) 800 grams (E) 950 grams<|im_end|>
<|im_start|>assistant
<think>
</think>
The... | 34,562 |
<|im_start|>user
Why does water have a high surface tension?
Answer choice: (A) high freezing point (B) helium bonding (C) hydrogen bonding (D) oxygenation<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 4,640 |
<|im_start|>user
A white paper 2 inches wide is placed around a rectangular black paper with dimensions 8 inches by 12 inches. What is the area of the white paper, in square inches?
Answer Choices: (A) 96 (B) 196 (C) 128 (D) 144 (E) 168<|im_end|>
<|im_start|>assistant
<think>
</think>
This question is an example of a... | 85,557 |
<|im_start|>user
A certain essay consists of 15 paragraphs. Each paragraph contains at least 130 words but not more than 140 words. Which of the following could be the total number of words in the essay?
Answer Choices: (A) 1440 (B) 1540 (C) 1640 (D) 1740 (E) 2050<|im_end|>
<|im_start|>assistant
<think>
</think>
lets... | 34,269 |
<|im_start|>user
Find for what value(s) of k would there be an unique solution for the given set of questions.
2x - 3y = 1 and kx + 5y = 7
Answer Choices: (A) -10/3 (B) -10/9 (C) -10/0 (D) -10/1 (E) -10/2<|im_end|>
<|im_start|>assistant
<think>
</think>
: If two equations ax + by = M and cx + dy = N have a unique sol... | 83,615 |
<|im_start|>user
A company has 14 equally qualified applicants for 4 open positions. How many different groups of 4 applicants can be chosen by the company to fill the positions if the order of selection does not matter?
Answer Choices: (A) 881 (B) 921 (C) 961 (D) 1001 (E) 1041<|im_end|>
<|im_start|>assistant
<think>
... | 15,999 |
<|im_start|>user
A total of 5 liters of gasoline is to be poured into two empty containers with capacities of 2 liters and 6 liters, respectively, such that both containers will be filled to the same percent of their respective capacities. What amount of gasoline, in liters, must be poured into the 6-liter container?
A... | 87,248 |
<|im_start|>user
If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
Answer Choices: (A) 22 1/7 % (B) 22 8/2 % (C) 22 1/9 % (D) 22 1/2 % (E) 22 2/2 %<|im_end|>
<|im_start|>assistant
<think>
</think>
9 = (1*40*R)/100
R = 22 1/2 %
The answer is D<|endoftext|> | 79,214 |
<|im_start|>user
A rectangular lawn of length 200m by 120m has two roads running along its center, one along the length and the other along the width. If the width of the roads is 5m what is the area T covered by the two roads?
Answer Choices: (A) 400 (B) 1550 (C) 1575 (D) 1600 (E) 1625<|im_end|>
<|im_start|>assistant
... | 54,599 |
<|im_start|>user
A bag contains 9 red and 5 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Answer Choices: (A) 4/7 (B) 2/3 (C) 5/8 (D) 9/14 (E) 5/7<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of balls = 9+5 = 14
number of white balls = 9
Probability =... | 82,885 |
<|im_start|>user
A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
Answer Choices: (A) 91/2 (B) 3/6 (C) 4/5 (D) 2/91 (E) 8/9<|im_end|>
<|im_start|>assistant
<think>
</think>
Let S be the sample space.
Then, n(S) = number of ways... | 10,332 |
<|im_start|>user
Susan, John, Daisy, Tim and Kim need to be seated in 5 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?
Answer Choices: (A) 360 (B) 120 (C) 80 (D) 240 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Total # of arrangement ... | 60,791 |
<|im_start|>user
At a certain company, each employee has a salary grade s that is at least 1 and at most 6. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s – 1). An employee with a salary grade of 6 receives how many more dollars per hour than an employee with a salary g... | 18,755 |
<|im_start|>user
A man decides to buy a nice horse. He pays $60 for it, and he is very content with the strong animal. After a year, the value of the horse has increased to $70 and he decides to sell the horse. But already a few days later he regrets his decision to sell the beautiful horse, and he buys it again. Unfor... | 84,457 |
<|im_start|>user
X starts a business with Rs.52000. Y joins in the business after 6 months with Rs.26000. What will be the ratio in which they should share the profit at the end of the year?
Answer Choices: (A) 1:2 (B) 2:3 (C) 1:3 (D) 4:1 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation ... | 60,569 |
<|im_start|>user
A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?
Answer Choices: (A) 7 hours (B) 8 hours (C) 14 hours (D) 28 hours (E) 24 hours<|im_end|>
<|im_start... | 12,142 |
<|im_start|>user
After M students took a test, the average score was 56%. If the test has 50 questions, what is the least number of questions that the next student has to get right to bring the average score up to 60%?
Answer Choices: (A) M + 30 (B) 0.56M + 30 (C) M + 28 (D) 2M + 28 (E) 2M + 30<|im_end|>
<|im_start|>as... | 4,030 |
<|im_start|>user
There are three secretaries who work for four departments. If each of the four departments have one report to be typed out, and the reports are randomly assigned to a secretary, what is the probability R that all three secretary are assigned at least one report?
Answer Choices: (A) 8/9 (B) 64/81 (C) 4/... | 95,005 |
<|im_start|>user
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Answer Choices: (A) 22 (B) 28 (C) 29 (D) 20 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Average of 20 numbers = 0
Sum of 20 numbers = (0 * 20) = 0
It is quite possible that 19 of these numbers may ... | 14,374 |
<|im_start|>user
Of the 100 athletes at a soccer club, 40 play defense and 64 play midfield. If at least 20 of the athletes play neither midfield nor defense, the number of athletes that play both midfield and defense could be any number between
Answer Choices: (A) 10 to 20 (B) 10 to 40 (C) 24 to 40 (D) 30 to 70 (E) 40... | 35,444 |
<|im_start|>user
What is the length of a bridge (in meters), which a train 148 meters long and travelling at 45 km/h can cross in 30 seconds?
Answer Choices: (A) 211 (B) 219 (C) 227 (D) 235 (E) 243<|im_end|>
<|im_start|>assistant
<think>
</think>
speed = 45 km/h = 45000 m / 3600 s = 25/2 m/s
In 30 seconds, the train ... | 75,391 |
<|im_start|>user
How many integers between 100 and 150, inclusive, can be evenly
divided by neither 3 nor 5?
Answer Choices: (A) 33 (B) 28 (C) 27 (D) 26 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
Numbers divisible by 3 start from 102 and end at 150
so total numbers are (150-102)/3 + 1 = 17
Numbers divisi... | 81,118 |
<|im_start|>user
The compound ratio of 5:6, 3:2 and 6:5?
Answer Choices: (A) 1:1 (B) 1:87 (C) 1:6 (D) 3:2 (E) 1:2<|im_end|>
<|im_start|>assistant
<think>
</think>
5/6 * 3/2 * 6/5 = 3/2
3:2
The answer is D<|endoftext|> | 12,545 |
<|im_start|>user
The H.C.F of two numbers is 8. Which one of the following can never be their L.C.M?
Answer Choices: (A) 8 (B) 12 (C) 60 (D) 72 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
H.C.F of two numbers divides their L.C.M exactly.
Clearly, 8 is not a factor of 60.
The answer is C<|endoft... | 73,890 |
<|im_start|>user
The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 108 million bacteria in the dish at 1: 00 p.m., at what time were there 32 million bacteria in the dish?
Answer Choices: (A) 7: 00 p.m. (B) 8: 00 p.m. (C) 6: 00 a.m. (D) 8: 00 a.m. (E) 10: 00 a.m.<|im_end|>
<|im... | 27,850 |
<|im_start|>user
A trader bought a car at 20% discount on its original price. He sold it at a 45% increase on the price he bought it. What percent of profit did he make on the original price?
Answer Choices: (A) 17% (B) 72% (C) 12% (D) 82% (E) 16%<|im_end|>
<|im_start|>assistant
<think>
</think>
Original price = 100
... | 64,122 |
<|im_start|>user
Incomplete dominance and epistasis are both terms that define what?
Answer choice: (A) genetic relationships (B) learned behaviors (C) genetic difficulties (D) genetic habits<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 4,120 |
<|im_start|>user
List R contains five numbers that have an average value of 70. If the median of the numbers in the list is equal to the mean and the largest number is equal to 20 more than two times the smallest number, what is the smallest possible value in the list?
Answer Choices: (A) 28 (B) 31 (C) 34 (D) 37 (E) 40... | 67,930 |
<|im_start|>user
Which of the following is closest to 1/6+1/66+1/666
Answer Choices: (A) 1/4.5 (B) 1/7 (C) 1/5.67 (D) 1/9 (E) 1/8<|im_end|>
<|im_start|>assistant
<think>
</think>
1/6+1/66+1/666=0.16+0.015+0.0015=0.1765=1/5.665
The answer is C<|endoftext|> | 1,071 |
<|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... | 1,380 |
<|im_start|>user
If y exceeds x by 20%, then x is less than y by?
Answer Choices: (A) 16 2/7% (B) 16 2/8% (C) 16 2/3% (D) 16 2/9% (E) 16 2/13%<|im_end|>
<|im_start|>assistant
<think>
</think>
X=100 y=120
120------20
100-------? => 16 2/3%
The answer is C<|endoftext|> | 79,396 |
<|im_start|>user
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 4 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Answer Choices: (A) s.3624 (B) s.4518 (C) s.4518 (D) s... | 19,118 |
<|im_start|>user
What is the average number of individuals per unit of area or volume called?
Answer choice: (A) crowdedness (B) population structure (C) population density (D) population count<|im_end|>
<|im_start|>assistant
<think>
</think>
Population size is the number of individuals in a population. Population de... | 4,753 |
<|im_start|>user
A can do a piece of work in 10 days and B can do it in 15 days and C can do it 20 days. They started the work together and A leaves after 2 days and B leaves after 4 days from the beginning. How long will work lost?
Answer Choices: (A) 09 2/3 (B) 10 2/3 (C) 11 2/3 (D) 12 2/3 (E) 16 2/3<|im_end|>
<|im_s... | 93,787 |
<|im_start|>user
The speed of a boat in still water is 90kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Answer Choices: (A) 40, 68 kmph (B) 110, 70 kmph (C) 90, 60 kmph (D) 40, 60 kmph (E) 20, 60 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream = 90 + 20 = 1... | 57,553 |
<|im_start|>user
AA is two digit number then m times its cube of AA has 1 in its tens place then what is m.
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
when AA=11
7*(11)^3= 7*1331= 9317
m=7
The answer is E<|endoftext|> | 16,950 |
<|im_start|>user
The marine west coast climate gets lots of rain because of what being nearby?
Answer choice: (A) the mountains (B) the Sun (C) the ocean (D) highways<|im_end|>
<|im_start|>assistant
<think>
</think>
The marine west coast climate gets lots of rain from the nearby ocean.
The answer is C<|endoftext|> | 6,066 |
<|im_start|>user
How many liters of water must be evaporated from 50 liters of a 2-percent sugar solution to get a 10-percent solution?
Answer Choices: (A) 25 (B) 30 (C) 35 (D) 40 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
2% of a 50 liter solution is 1L which is 10% of the solution at the end.
The solut... | 50,705 |
<|im_start|>user
Pat, Kate, and Mark charged a total of 117 hours to a certain project. If Pat charged twice as much time to the project as Kate and 1/3 as much time as Mark, how many more hours did Mark charge to the project than Kate?
Answer Choices: (A) 18 (B) 36 (C) 72 (D) 90 (E) 65<|im_end|>
<|im_start|>assistant
... | 75,229 |
<|im_start|>user
Find the average of all the numbers between 6 and 34 which are divisible by 5.
Answer Choices: (A) 22 (B) 20 (C) 288 (D) 277 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Average = (10 + 15 + 20 + 25 + 30)/5 = 100/5 = 20.
The answer is B<|endoftext|> | 48,287 |
<|im_start|>user
A number is selected at random from the first 30 natural numbers. What is the probability that the number is a multiple of either 3 or 17?
Answer Choices: (A) 17/30 (B) 2/5 (C) 7/15 (D) 4/15 (E) 11/30<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of Multiples of 3 from 1 through 30 = 30/3 =... | 79,559 |
<|im_start|>user
The average temperature of Monday, Tuesday, Wednesday and Thursday was 38∘ and that of Tuesday, Wednesday, Thursday and Friday was 40∘. If the temperature on Monday was 36∘, the temperature of Friday was :
Answer Choices: (A) 44∘ (B) 40∘ (C) 38∘ (D) 30∘ (E) None of these<|im_end|>
<|im_start|>assistant... | 1,427 |
<|im_start|>user
The function g(j) is defined for integers j such that if j is even, g(j) = j/2 and if j is odd, g(j) = j + 5. Given that g(g(g(g(g(j))))) = 19, how many possible values for j would satisfy this equation?
Answer Choices: (A) 1 (B) 5 (C) 7 (D) 8 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
L... | 12,813 |
<|im_start|>user
40 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Answer Choices: (A) 13.2 (B) 17.5 (C) 12.8 (D) 34.25 (E) 31.25<|im_end|>
<|im_start|>assistant
<think>
</think>
x/7 = y/9 => x:y = 7:9
7/16 * 40 = 17.5
The answer is B<|en... | 85,766 |
<|im_start|>user
One bacterium splits into eight bacteria of the next generation. But due to environment, only 50% of one generation can produced the next generation. If the seventh generation number is 4096 million, what is the number in first generation?
Answer Choices: (A) 1 million (B) 2 million (C) 4 million (D) 8... | 28,187 |
<|im_start|>user
A grocer has a sale of Rs. 5266, Rs. 5768, Rs. 5922, Rs. 5678 and Rs. 6029 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 5600?
Answer Choices: (A) 4637 (B) 4737 (C) 4937 (D) 5937 (E) 5978<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 83,746 |
<|im_start|>user
If it takes a tub 6 minutes to drain 5/7 of its content, how much more time will it take for the tub to be empty?
Answer Choices: (A) 48 seconds (B) 1 minute, 12 seconds (C) 1 minute, 50 seconds (D) 2 minutes, 24 seconds (E) 4 minutes, 12 seconds<|im_end|>
<|im_start|>assistant
<think>
</think>
If 5/... | 94,965 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
The atmosphere is the layer of air that surrounds Earth. Both weather and climate tell you about the atmosphere.
Weather is what the atmosphere is like at a certain place and time. Weather can change quickly. For example, th... | 6,383 |
<|im_start|>user
A perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. How many positive integers n are there such that n is less than 20,000 and at the same time n is a perfect square and a perfect cube?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
... | 61,552 |
<|im_start|>user
A student can select one of 11 different math book, one of 3 different chemistry book & one of 4 different science book.In how many different ways students can select book of math, chemistry & science.
Answer Choices: (A) 22 (B) 72 (C) 199 (D) 237 (E) 264<|im_end|>
<|im_start|>assistant
<think>
</thin... | 65,481 |
<|im_start|>user
Through what does urine enter the bladder?
Answer choice: (A) the enterocytes (B) the vas deferens (C) the tubules (D) the ureters<|im_end|>
<|im_start|>assistant
<think>
</think>
Nephrons filter about ¼ cup of body fluid per minute. In a 24-hour period, nephrons filter 180 liters of fluid, and 1.5 l... | 6,562 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A clause is a group of words that contains both a subject and a predicate.
An independent clause is a complete thought. It can stand alone as a sentence. A dependent clause is not a complete thought. It cannot stand alone as... | 6,134 |
<|im_start|>user
A certain bus driver is paid a regular rate of $14 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $976 in to... | 19,097 |
<|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) 288 (B) 200 (C) 289 (D) 267 (E) 261<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of ways to select two men and three women
= 5C2 * 6C3
= (5 *4 )/(... | 24,522 |
<|im_start|>user
If A, B and C together can finish a piece of work in 4 days. A alone in 6 days and B in 18 days, then C alone can do it in?
Answer Choices: (A) 1 (B) 7 (C) 8 (D) 9 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
C = 1/4 - 1/6 – 1/18 = 1/36 => 36 days'
The answer is E<|endoftext|> | 20,685 |
<|im_start|>user
A man buys Rs. 20 shares paying 9 % dividend. The man wants to have an interest of 12% on his money.The market value of each share is :
Answer Choices: (A) Rs. 12 (B) Rs. 15 (C) Rs. 18 (D) Rs. 21 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Dividend on Rs. 20 = Rs.(9/100x20) = R... | 35,560 |
<|im_start|>user
Vertebrates lacking what structures often use lungs for gas exchange?
Answer choice: (A) pores (B) nostrils (C) gills (D) spores<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 7,721 |
<|im_start|>user
How many multiples of 2 are there between 1 and 58, exclusive?
Answer Choices: (A) 21 (B) 22 (C) 24 (D) 26 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
28
multiples of 2 between 1 and 58 exclusive.
from 2 * 1 upto 2*28, (1,2,3,4,...,28). Hence, 28 multiples !
correct option is E
The answer... | 4,895 |
<|im_start|>user
If 5 machines can produce 20 units in 10 hours, how long would it take 10 machines to produce 100 units?
Answer Choices: (A) 25 (B) 30 (C) 35 (D) 24 (E) 96<|im_end|>
<|im_start|>assistant
<think>
</think>
5 machines would produce 100 units in 50 hours. Increasing the amount of machines by 2 would mea... | 39,153 |
<|im_start|>user
A group of 7 students bought movie tickets in one row next to each other. If Bob and Lisa are in this group, what is the probability that Bob and Lisa will each sit next to only one of the six other students from the group?
Answer Choices: (A) 5.76% (B) 4.76% (C) 15.75% (D) 20.67% (E) 25.15%<|im_end|>
... | 41,755 |
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