text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
Camel and carriage for Rs. 5000. He SP the camel at a gain of 20% and the carriage at a loss of 10%. If he gains 3% on the whole, then find the CP of the camel?
Answer Choices: (A) Rs.2166.67 (B) Rs.2234 (C) Rs.2345.13 (D) Rs.2456.34 (E) Rs.2550.34<|im_end|>
<|im_start|>assistant
<think>
</think>
Now... | 77,739 |
<|im_start|>user
In one hour,a boat goes 11 km along the stream and 5 km against the stream.The speed of the boat in still water is :
Answer Choices: (A) 3 (B) 5 (C) 8 (D) 9 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Speed in still water =1/2(11+5) kmph = 8 kmph.
The answer is C<|endoftext|> | 15,950 |
<|im_start|>user
Tough and Tricky questions: Word Problems.
ACT Car Company wants to manufacture a new car known as Model X, and it is trying to determine how many cars it needs to sell in order to make an annual profit of $30,500,000. The annual fixed costs for Model X total $50,200,000. In addition, each Model X car ... | 95,462 |
<|im_start|>user
A reindeer chased by a Cheetah passed a certain tree at a constant speed of 50 miles per hour while being chased by a Cheetah. Then, 2 minutes later, the Cheetah passed the same tree at a constant speed of 60 miles per hour. If both animals maintained their speeds, how long after the Cheetah passed the... | 31,065 |
<|im_start|>user
Scientists search for answers to questions and solutions to problems by using a procedure called this?
Answer choice: (A) measured method (B) scientific method (C) continued method (D) careful method<|im_end|>
<|im_start|>assistant
<think>
</think>
Scientists search for answers to questions and solut... | 9,076 |
<|im_start|>user
How many possible ways can 2 girls (Rebecca, Kate, Ashley) go on a date with 3 boys (Peter, Kyle, Sam)?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Any one girl can go with 3 boys.
2nd girl can go with remaining 2 boys
3*2 i.e 6 (D) is
The answe... | 32,070 |
<|im_start|>user
There are 7 orators A, B, C, D, E, F and G. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.
Answer Choices: (A) 7! / 3! (B) 8! / 6! (C) 5! x 3! (D) 8! / (5! x 3!) (E) 8! / (5! x 4!) <|im_end|>
<|im_start|>assistant
<think>
</think>
Select an... | 39,657 |
<|im_start|>user
The formula unit of sodium chloride dissociates into one sodium ion and one?
Answer choice: (A) oxygen ion (B) magnesium ion (C) chloride ion (D) electron<|im_end|>
<|im_start|>assistant
<think>
</think>
The formula unit of sodium chloride dissociates into one sodium ion and one chloride ion. The cal... | 5,772 |
<|im_start|>user
Two trains each of which is 100 m long moving in opposite direction to one another cross each other taking 8 seconds. If speed of one train is twice the speed of other
train find the speed of the faster train.
Answer Choices: (A) 60 km/hr (B) 76 km/hr (C) 98 km/hr (D) 9 km/hr (E) 77 km/hr<|im_end|>
<|i... | 16,711 |
<|im_start|>user
fill in ht blank:
(a) the point with ___ (0,0) is called origin of a rectangular coordinate system,
(b) to find the y-intercept of a line, we let ___ equal 0 and solve for ___; to find x- intercept , we let ____ equal 0 and solve for___
Answer Choices: (A) (a) the point with line (0,0) is called orig... | 17,349 |
<|im_start|>user
What is the concentration of gas molecules in the mesosphere?
Answer choice: (A) high density (B) very low density (C) low density (D) medium density<|im_end|>
<|im_start|>assistant
<think>
</think>
The mesosphere has a very low density of gas molecules.
The answer is B<|endoftext|> | 9,937 |
<|im_start|>user
6 pints of a 20 percent solution of alcohol in water are mixed with 4 pints of a 10 percent alcohol in water solution. The percentage alcohol in the new solution is
Answer Choices: (A) 16 (B) 15 (C) 14 (D) 13 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Percentage of alcohol in new solutio... | 74,700 |
<|im_start|>user
A, B and C can do a work in 6, 8 and 12 days respectively doing the work together and get a payment of Rs.1800. What is B’s share?
Answer Choices: (A) 600 (B) 278 (C) 298 (D) 267 (E) 127<|im_end|>
<|im_start|>assistant
<think>
</think>
WC = 1/6:1/8:1/12 => 4:3:2
3/9 * 1800 = 600
The answer is A<|endo... | 75,679 |
<|im_start|>user
A circular racetrack is 3 miles in length and has signs posted to indicate each 1/10 mile increment. If a race car starts at a random location on the track and travels exactly one half mile, what is the probability that the car ends within a half mile of the sign indicating 2 1/2 miles?
Answer Choices:... | 92,100 |
<|im_start|>user
Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked 1⁄3 as efficiently as he actually did, the work would have completed in 3 days. Find the time for A to complete the job alone.
Answer Choices: (A) 6 1⁄4 days (B) 5 3⁄4 days (... | 65,191 |
<|im_start|>user
Circles X and Y are concentric. If the radius of circle X is five times that of circle Y, what is the probability that a point selected inside circle X at random will be outside circle Y?
Answer Choices: (A) 13 (B) Pi/3 (C) Pi/2 (D) 5/6 (E) 24/25<|im_end|>
<|im_start|>assistant
<think>
</think>
Small... | 70,747 |
<|im_start|>user
he ratio between the sale price and the cost price of an article is 3:1. What is the ratio between the profit and the cost price of that article?
Answer Choices: (A) 2:1 (B) 2:9 (C) 2:4 (D) 2:1 (E) 2:5<|im_end|>
<|im_start|>assistant
<think>
</think>
Let C.P. = Rs. x and S.P. = Rs. 3x.
Then, Gain = R... | 74,457 |
<|im_start|>user
The only items of clothing at Michelle’s Boutique are 4 shirts, 8 pairs of pants and 18 ties. What is the probability of randomly selecting 2 ties out of all the items in Michelle’s Boutique?
Answer Choices: (A) 51/145 (B) 9/25 (C) 3/5 (D) 94/145 (E) 5/6<|im_end|>
<|im_start|>assistant
<think>
</think... | 27,721 |
<|im_start|>user
how many such letters pairs r in word SMUGGLER having same no. of letters left between them in the word as they have in the series
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
2 letter pair.S-U,G-E.
The answer is B<|endoftext|> | 43,403 |
<|im_start|>user
If x, y, and z are consecutive positive odd integers, not necessarily in that order, which of the following must be true? I. xy> z^4 II. (x + z)^4 > y III. x+y>z^4
Answer Choices: (A) II only (B) I only (C) III only (D) I,II only (E) I,III only<|im_end|>
<|im_start|>assistant
<think>
</think>
Lets su... | 47,427 |
<|im_start|>user
A male leader is to be selected from a class of students having 15 boys and 20 girls. In how many ways can select?
Answer Choices: (A) 50 ways (B) 7/3 ways (C) 3/7 ways (D) 35 ways (E) 15 ways<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of boy student in the class is 15. Therefore req... | 30,594 |
<|im_start|>user
The average age of a husband and his wife was 20 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is :
Answer Choices: (A) 11 (B) 18 (C) 19 (D) 287 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Sum of the pr... | 4,751 |
<|im_start|>user
Jim drove 384 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?
Answer Choices: (A) 113 miles (B) 432 miles (C) 456miles (D) 816 miles (E) 767 miles<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of miles to drive to finish his journey is giv... | 82,383 |
<|im_start|>user
Frogs are amphibians that live part of the time in fresh water and rest of the time where?
Answer choice: (A) underground (B) in stagnant water (C) on land (D) in salt water<|im_end|>
<|im_start|>assistant
<think>
</think>
Amphibians are vertebrates that live part of the time in fresh water and part ... | 7,370 |
<|im_start|>user
A customer asks the clerk for a paintbrush and a bucket of whitewash for a total price of B dollars. If the paintbrush costs 100 cents less than twice the price of a bucket of whitewash, what is the price of half a bucket of whitewash in dollars?
Answer Choices: (A) (B + 2) /2. (B) (B + 2) /5. (C) (2B ... | 54,524 |
<|im_start|>user
The regular price per can of a certain brand of soda is $0.30. If the regular price per can is discounted 15 percent when the soda is purchased in 24-can cases, what is the price of 72 cans of this brand of soda purchased in 24-can cases?
Answer Choices: (A) $16.32 (B) $18.36 (C) $21.60 (D) $24.48 (E) ... | 66,096 |
<|im_start|>user
What annual payment will discharge a debt of Rs. 1060 due in 2 years at the rate of 5% compound interest?
Answer Choices: (A) 993.2 (B) 551.25 (C) 570.07 (D) 543.33 (E) 646.33<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let each installment be Rs. x. Then,
x/(1 + 5/100) + x/(1 + 5/1... | 16,750 |
<|im_start|>user
In 1 kg mixture of sand and iron, 20% is iron. How much sand should be added so that the proportion of iron becomes 10%?
Answer Choices: (A) 1 kg (B) 200 gms (C) 800 gms (D) 1.8 kg (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
In 1 kg mixture quantity of iron = 200 gm
Let x gm sa... | 33,662 |
<|im_start|>user
Four of the five parts numbered a, b, c, d and e in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is your answer
Answer Choices: (A) 10.36 + 69.802 + 24.938 (B) 2207.1 ÷ 21 (C) 16 2⁄3% of 630.6 (D) 32.84375 × 3.2 (E) 1⁄5 of 1⁄9 of 4... | 11,745 |
<|im_start|>user
A train traveling with constant speed crosses a 90m long platform in 12 seconds and a 120m long platform in 15 seconds.Find the length of the train and its speed.
Answer Choices: (A) 30 (B) 40 (C) 60 (D) 50 (E) NOne<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the train be x m a... | 25,508 |
<|im_start|>user
Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid $6 more than 1/4 of the fine and Peter paid $6 less than 1/3 of the fine, leaving pay $10 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay?
Answer Choices: (A) ... | 4,368 |
<|im_start|>user
How many seconds will a train 250 meters long take to cross a platform 200 meters long if the speed of the train is 90 kmph?
Answer Choices: (A) 18 sec (B) 15 sec (C) 21 sec (D) 16 sec (E) 20 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 250+200 = 450
S = 90* 5/18 = 25 mps
T = 450/25 = 18 ... | 36,980 |
<|im_start|>user
If - 5 < x < 7 and y < - 9, then the lowest possible value for (-xy) is
Answer Choices: (A) between 60 and 70 (B) between 0 and 60 (C) 0 (D) between 0 and -70 (E) none of these<|im_end|>
<|im_start|>assistant
<think>
</think>
If - 5 < x < 7 and y < - 9,
Say y = -100 (y<-9)
x = 6
So -xy =600 which is ... | 50,635 |
<|im_start|>user
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Answer Choices: (A) 12/458 (B) 12/455 (C) 12/455 (D) 12/451 (E) 12/452<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that there a... | 55,903 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
There are four kinds of sentences.
A declarative sentence is a statement, and it always ends with a period.
The nurse told Mr. Abrams to roll up his sleeve so that she could check his blood pressure.
An interrogative sentenc... | 2,180 |
<|im_start|>user
How many integers are divisible by 5 between 10! and 10! + 20 inclusive?
Answer Choices: (A) 5 (B) 7 (C) 8 (D) 9 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
A - 7
10! is divisible by 5
There are 4 numbers between 10! and 10!+20 that are divisible by 5.
Hence 5
The answer is A<|endoftext|> | 15,756 |
<|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... | 5,541 |
<|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 through families. Children gain these traits from their paren... | 3,438 |
<|im_start|>user
Calculate the number of bricks, each measuring 25 cm * 15 cm * 8 cm required to construct a wall of dimensions 10 m * 4 m * 5 m when 10% of its volume is occupied by mortar?
Answer Choices: (A) 33277 (B) 6888 (C) 6000 (D) 2777 (E) 27812<|im_end|>
<|im_start|>assistant
<think>
</think>
10 * 4/100 * 5 ... | 26,580 |
<|im_start|>user
There are 5 Rock songs, 6 Pop songs, and 3 Jazz. How many different albums can be formed using the above repertoire if the albums should contain at least one Rock song and one Pop song?
Answer Choices: (A) 15,624 (B) 16,384 (C) 6,144 (D) 384 (E) 240<|im_end|>
<|im_start|>assistant
<think>
</think>
If... | 563 |
<|im_start|>user
Kim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Kim and Renee have an equal chance of choosing any one of the hand signs, what is... | 13,101 |
<|im_start|>user
In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons
Answer Choices: (A) A) 160 (B) B) 170 (C) C) 210 (D) D) 190 (E) E) 230<|im_end|>
<|im_start|>assistant
<think>
</think>
7p3 = 7 × 6 × 5 = 210
Option 'C'
The answer is C<|endoftext|> | 6,039 |
<|im_start|>user
3 buffaloes eat as much as 4 cows or 2 oxen. At a farm, there are 15 buffaloes, 8 oxen, and 24 cows. The fodder for these cattle is available for 24 days. If 60 more cows and 30 more buffaloes are brought in, how many days will the fodder last?
Answer Choices: (A) 6 (B) 9 (C) 12 (D) 15 (E) 18<|im_end|>... | 35,877 |
<|im_start|>user
From the starting point in a boat race, one competitor started to sail north at a speed of 1.6 Km/h, the other competitor started to sail west at a speed of 1.3 Km/h. What is the distance in Km between the two competitors after 5 hours?
Answer Choices: (A) 10.3 (B) 12. (C) 12.5. (D) 14. (E) 15.4.<|im_e... | 81,007 |
<|im_start|>user
A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 11 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?
Answer Choices: (A) 2,060 (B) 1,320 (C) ... | 3,408 |
<|im_start|>user
If a man can cover 30 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Answer Choices: (A) 118 km (B) 162 km (C) 1767 km (D) 1887 km (E) 405 km<|im_end|>
<|im_start|>assistant
<think>
</think>
30 m/s = 30 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance ... | 74,502 |
<|im_start|>user
How many 3-digit positive integers are there, where each digit is positive, and no two adjacent digits are same?
Answer Choices: (A) 576 (B) 3024 (C) 4096 (D) 4608 (E) 6561<|im_end|>
<|im_start|>assistant
<think>
</think>
First digit.. 9 posibilities
Second digit, 8 possibilities
third digit, 8 possi... | 2,022 |
<|im_start|>user
How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
Answer Choices: (A) 52 sec (B) 50 sec (C) 51 sec (D) 55 sec (E) 58 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
B
50 sec
The distance t... | 54,297 |
<|im_start|>user
E. histolytica causes what kind of dysentery?
Answer choice: (A) Spastic (B) cocklebur (C) amebic (D) spicule<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 8,535 |
<|im_start|>user
There are 56 lights which are functional and each is controlled by a separate On/Off switch. Two children X and Y start playing with the switches. X starts by pressing every third switch till he reaches the end. Y, thereafter, presses every fifth switch till he too reaches the end. If all switches were... | 44,027 |
<|im_start|>user
The only invertebrates than can fly belong to what broad group, which is highly successful?
Answer choice: (A) spiders (B) insects (C) birds (D) bats<|im_end|>
<|im_start|>assistant
<think>
</think>
Insects are the only invertebrates than can fly. Flight is the main reason for their success.
The answ... | 2,971 |
<|im_start|>user
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?
Answer Choices: (A) 1/6 (B) 1/2 (C) 1/9 (D) 1/1 (E) 1/5<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of exhaustive outcomes is 36.
Let E be the event of getting an ... | 89,120 |
<|im_start|>user
Each week a restaurant serving Mexican food uses the same volume of chili paste, which comes in either 25-ounce cans or 15-ounce cans of chili paste. If the restaurant must order 30 more of the smaller cans than the larger cans to fulfill its weekly needs, then how many larger cans are required to fulf... | 65,598 |
<|im_start|>user
In a certain archery competition, points were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points. No other points are awarded. John participated several times in... | 42,965 |
<|im_start|>user
What will come in place of the x in the following Number series? 46080, 3840, 384, 48, 8, 2, x
Answer Choices: (A) 1 (B) 2 (C) 34 (D) 12 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
46080 /12 = 3840
3840 /10 = 384
384 /8 = 48
48 /6 = 8
8/4 = 2
2 /2 = 1
A
The answer is A<|endoftext|> | 55,264 |
<|im_start|>user
If 0.60: x : : 6 : 4, then x is equal to
Answer Choices: (A) 0.1 (B) 0.4 (C) 0.82 (D) 0.8 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
(x×6) = (0.60×4) ⇒ x = 2.4/6 = 0.40.
The answer is B<|endoftext|> | 54,094 |
<|im_start|>user
How much is 25% of 40 is greater than 4/5 of 25?
Answer Choices: (A) 10 (B) 776 (C) 66 (D) 12 (E) 99<|im_end|>
<|im_start|>assistant
<think>
</think>
(25/100) * 40 – (4/5) * 25
10 - 20 = 10
The answer is A<|endoftext|> | 42,225 |
<|im_start|>user
Eighteen years ago, a father was three times as old as his son. Now the father is only twice as old his son. Then the sum of the present ages of the son and the father is:
Answer Choices: (A) 53 (B) 108 (C) 77 (D) 107 (E) 109<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the prese... | 62,196 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Answer the riddle.
You can eat me.
I am sweet.
Bees make me.
What am I?
Answer Choices: (A) ice cream (B) honey<|im_end|>
<|im_start|>assistant
<think>
</think>
You can eat honey.
Honey is sweet.
Bees make hone... | 4,552 |
<|im_start|>user
Solve x2 – 7x = 0
Answer Choices: (A) 0,7 (B) 1.7 (C) 2.7 (D) 3,7 (E) 4,7<|im_end|>
<|im_start|>assistant
<think>
</think>
This quadratic factors easily: Copyright © Elizabeth Stapel 2002-2011 All Rights Reserved
x2 – 7x = 0
x(x – 7) = 0
x = 0 or x – 7 = 0
x = 0 or x = 7
The solution is x = ... | 43,281 |
<|im_start|>user
The total of the ages of Amar, Akbar and Anthony is 45 years. What was the total of their ages four years ago ?
Answer Choices: (A) 29 years (B) 24 years (C) 20 years (D) 30 years (E) 21 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Required sum = (45 - 4 x 4) years = (45 - 16) ... | 54,494 |
<|im_start|>user
Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Answer Choices: (A) 5/8 (B) 5/4 (C) 5/2 (D) 5/6 (E) 5/1<|im_end|>
<|im_start|>assistant
<think>
</think>
P(at least one graduate) = 1 - P(no graduates)
1... | 56,029 |
<|im_start|>user
A person travels through 5 cities - A, B, C, D, E. Cities E is 2 km west of D. D is 3 km north-east of A. C is 5 km north of B and 4 km west of A. If this person visits these citiesin the sequence B - C - A - E - D, what is the effective distance between cities B and D?
Answer Choices: (A) 12 (B) 13 (C... | 12,732 |
<|im_start|>user
When a sperm penetrates the egg, it triggers the egg to complete what?
Answer choice: (A) mutations (B) fertilization (C) lesions (D) meiosis<|im_end|>
<|im_start|>assistant
<think>
</think>
When a sperm penetrates the egg, it triggers the egg to complete meiosis. The sperm also undergoes changes. It... | 5,643 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Similes and metaphors are figures of speech that compare two things that are not actually alike.
A simile compares two things by saying that one is like the other. Similes often use the words like and as.
My sister runs like... | 5,470 |
<|im_start|>user
Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 cm x 6 m when 10% of its volume is occupied by mortar ?
Answer Choices: (A) 720 (B) 600 (C) 660 (D) 6000 (E) NONE OF THESE<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanati... | 93,143 |
<|im_start|>user
Each face of a cube is painted with exactly one colour. What is the smallest number
of colours needed to paint a cube so that no two faces that share an edge are the
same colour?
Answer Choices: (A) 2 colours (B) 3 colours (C) 4 colours (D) 5 colours (E) 6 colours<|im_end|>
<|im_start|>assistant
<think... | 29,582 |
<|im_start|>user
The total circumference of two circles is 80. If the first circle has a circumference that is exactly twice the circumference of the second circle, then what is the approximate sum of their two radii?
Answer Choices: (A) 5.7 (B) 6.0 (C) 10.6 (D) 9.7 (E) 18.0<|im_end|>
<|im_start|>assistant
<think>
</t... | 66,813 |
<|im_start|>user
An oil cylinder was 3/4th full. When ONE bottles of oil is poured into it, it is 4/5th full. How many bottles of oil
can the full cylinder hold?
Answer Choices: (A) 20 (B) 15 (C) 40 (D) 30 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
(4/5 -3/4) cylinder is filled by 1 bottles
0.8 -0.75 = 0... | 86,645 |
<|im_start|>user
Evaluate 50!/47!
Answer Choices: (A) 102500 (B) 112584 (C) 117600 (D) 118450 (E) 128450<|im_end|>
<|im_start|>assistant
<think>
</think>
Evaluate 50!/47! = 50*49*48* (47!)/47!
= 50*49*48
= 117600
The answer is C<|endoftext|> | 47,174 |
<|im_start|>user
What quadrants do the line y = 2x - 4 go through?
Answer Choices: (A) 1 and 2 (B) 1 and 3 (C) 1 and 4 (D) 1,2 and 3 (E) 1,3 and 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Find the x-intercept and the y-intercept of the line.
To find the x intercept, set y = 0 and solve for x.
0 = 2x - 4
x = 2... | 87,568 |
<|im_start|>user
What is the area of a square field whose diagonal of length 20 m?
Answer Choices: (A) 300 sq m (B) 250 sq m (C) 200 sq m (D) 400 sq m (E) 450 sq m<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
d2/2 = (20 * 20)/2 = 200
The answer is C<|endoftext|> | 12,646 |
<|im_start|>user
A coin is tossed six times. What is the probability that there is at the least one tail?
Answer Choices: (A) 63/64 (B) 31/64 (C) 31/67 (D) 31/64 (E) 63/31<|im_end|>
<|im_start|>assistant
<think>
</think>
Let P(T) be the probability of getting least one tail when the coin is tossed six times.
= There ... | 54,122 |
<|im_start|>user
An inspector rejects 0.00008% of the meters as defective. How many will be examine to project ?
Answer Choices: (A) 2000 (B) 2300000 (C) 2700 (D) 2500000 (E) 250<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of meters to be examined be x.
Then, 0.00008% of x =2
[(8/100000)*(1/100)*x... | 83,315 |
<|im_start|>user
Tom purchased 8kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 45 per kg. How much amount did he pay to the shopkeeper?
Answer Choices: (A) A) 1040 (B) B) 1045 (C) C) 965 (D) D) 1060 (E) E) 1075<|im_end|>
<|im_start|>assistant
<think>
</think>
Cost of 8 kg apples= 70 × 8 = 56... | 70,391 |
<|im_start|>user
A committee that includes 10 members is about to be divided into 2 subcommittees with 5 members each. On what percent of the possible subcommittees that Michael is a member of is Annie also a member?
Answer Choices: (A) 48% (B) 44% (C) 40% (D) 36% (E) 32%<|im_end|>
<|im_start|>assistant
<think>
</thin... | 65,460 |
<|im_start|>user
A shop that sells phone accessories had the following sales: 10 thousand earbuds at $10 each, 5300 phone cases at $12 each and 450 power banks at $50 each. What % of the shop's revenue is from power banks?
Answer Choices: (A) 11.1% (B) 12.1% (C) 10.1% (D) 9.1% (E) 13.1%<|im_end|>
<|im_start|>assistant
... | 44,357 |
<|im_start|>user
Working together, Tim and Tom can type 12 pages in one hour. If they would be able to type 15 pages in one hour if Tom increases his typing speed by 30%, what is the ratio of Tom's normal typing speed to that of Tim?
Answer Choices: (A) 1/5 (B) 5/1 (C) 4/1 (D) 1/4 (E) 1/3<|im_end|>
<|im_start|>assistan... | 92,365 |
<|im_start|>user
In a bag there are 10 black balls and 25 blue balls and 15 white balls. A ball is drawn at random. What is the probability of getting a white or a black ball?
Answer Choices: (A) 3/2 (B) 1 (C) 1/2 (D) 5/2 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
total draws =10+25+15=50
probability of g... | 93,972 |
<|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... | 4,788 |
<|im_start|>user
In how many ways 4 boys and 2 girls can be seated in a row so that they are alternate.
Answer Choices: (A) 48 (B) 288 (C) 12 (D) 256 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution: Let the Arrangement be,
B G B G B B
4 boys can be seated in 4! Ways.
Girl can be seated in 2! Ways.
... | 81,251 |
<|im_start|>user
If m, n, and o are three different positive integers whose sum is prime, which of the following statements could be true?
Answer Choices: (A) Each of m + n, m + o, and n + o is prime. (B) Each of m + 3, n + 3, and o + 3 is prime. (C) Each of m, n, and o is prime. (D) The average (arithmetic mean) of m... | 25,969 |
<|im_start|>user
What are the narrowest blood vessels, where oxygen is transferred into body cells?
Answer choice: (A) arteries (B) muscles (C) capillaries (D) viens<|im_end|>
<|im_start|>assistant
<think>
</think>
Red blood cells are flat, round, and very small. Their small size allows easy maneuverability through t... | 6,884 |
<|im_start|>user
Solve:-
222 x 222 x 222 + 555 x 555 x 555 = ?(222 x 222 - 222 x 555 + 555 x 555)
Answer Choices: (A) 888 (B) 333 (C) 555 (D) 988 (E) 777<|im_end|>
<|im_start|>assistant
<think>
</think>
Given Exp. = (a3 + b3) = (a + b) = (222 + 555) = 777(a2 - ab + b2)
The answer is E<|endoftext|> | 18,193 |
<|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 through families. Children gain these traits from their paren... | 5,991 |
<|im_start|>user
Today is Jack's birthday. One year, from today he will be twice as old as he was 13 years ago. How old is Jack today ?
Answer Choices: (A) 23 years (B) 24 years (C) 25 years (D) 26 years (E) 27 years<|im_end|>
<|im_start|>assistant
<think>
</think>
let Jack's age=x
x+1=2(x-13)
x=27
The answer is E<|e... | 14,339 |
<|im_start|>user
Three friends had dinner at a restaurant. When the bill was received, Amita paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Tanya paid. What faction of the bill did Veena pay ?
Answer Choices: (A) 1/3 (B) 3/11 (C) 12/13 (D) 5/8 (E) 9/8<|im_end|>
<|im_start|>assistant
<think>
</think>
let... | 97,397 |
<|im_start|>user
In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
Answer Choices: (A) 384 (B) 882 (C) 270 (D) 377 (E) 262<|im_end|>
<|im_start|>assistant
<think>
</think>
Average mark s... | 90,354 |
<|im_start|>user
A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 1500, then his salary per month in rupees is:
Answer Choices: (A) 4000 (B) 6000 (C) 8000 (D) 10000 (E) None of these<|im_end|>
<|im_start|>assistant
<th... | 19,802 |
<|im_start|>user
A man complete a journey in 10 hrs. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km?
Answer Choices: (A) 876 km (B) 224 km (C) 657 km (D) 176 km (E) 168 km<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the total... | 66,229 |
<|im_start|>user
What will come in place of the x in the following Number series? 25, 100, x, 1600, 6400
Answer Choices: (A) 2345 (B) 3579 (C) 6400 (D) 6799 (E) 8646<|im_end|>
<|im_start|>assistant
<think>
</think>
(C)
25 x 4 = 100, 100 x 4 = 400, 400 x 4 = 1600, 1600 x 4 = 6400.
The answer is C<|endoftext|> | 42,037 |
<|im_start|>user
895.7 – 573.07 – 95.007 = ?
Answer Choices: (A) 227.623 (B) 224.777 (C) 233.523 (D) 414.637 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Given expression = 895.7 - (573.07 + 95.007) = 895.7 - 668.077 = 227.623.
The answer is A<|endoftext|> | 39,589 |
<|im_start|>user
A reduction in the price of petrol by 10% enables a motorist to buy 5 gallons more for $190. Find the original price of petrol?
Answer Choices: (A) $11 (B) $5 (C) $45 (D) $400 (E) $4.2<|im_end|>
<|im_start|>assistant
<think>
</think>
Price decreased by 10%, so 9/10 times, which means that original ga... | 15,609 |
<|im_start|>user
When sold at a 60% discount, a sweater nets the merchant a 20% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price?
Answer Choices: (A) 20% (B) 40% (C) 66.67% (D) 80% (E) 100%<|im_end|>
<|im_start|>assistant... | 17,240 |
<|im_start|>user
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 20 seconds. The ratio of their speeds is?
Answer Choices: (A) 3/7 (B) 3/2 (C) 3/5 (D) 3/1 (E) 3/3<|im_end|>
<|im_start|>assistant
<think>
</think>
Let ... | 52,023 |
<|im_start|>user
How many integers between 300 and 1100 are there such that their unit digit is odd?
Answer Choices: (A) 200 (B) 300 (C) 400 (D) 500 (E) 600<|im_end|>
<|im_start|>assistant
<think>
</think>
There are 800 numbers from 301 to 1100 (inclusive).
Half of the numbers are odd, so there are 400 odd numbers.
T... | 42,103 |
<|im_start|>user
The width of a rectangular hall is ½ of its length. If the area of the hall is 288 sq.m, what is the difference between its length and breadth?
Answer Choices: (A) 8m (B) 10m (C) 12m (D) 15m (E) 17m<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the hall be x m
Breadth of the hall... | 63,383 |
<|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... | 3,355 |
<|im_start|>user
one man can do a piece of work in 10days. one boys join him & he complete the work in 6days . if he gets 50rs for his work then what will be the share of the boy.
Answer Choices: (A) 10 (B) 20 (C) 30 (D) 40 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
1 day work of Man=1/10, If Boy's 1 day... | 36,732 |
<|im_start|>user
CP of 2 buffaloes are $30,000. By selling 1 at a loss of 15% and other at a profit of 19%, he foundthat SP of both buffaloes is the same. Find the CP of each?
Answer Choices: (A) $10,500 (B) $10,500 (C) $11,500 (D) $12,000 (E) $12,500<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the C.P of 1s... | 87,547 |
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