text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
Answer Choices: (A) 9680 (B) 2338 (C) 1278 (D) 1098 (E) 1279<|im_end|>
<|im_start|>assistant
<think>
</think>
(8000*3*2)/100 = 480
9200
--------
9680
The answer ... | 3,713 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Experiments can be designed to answer specific questions. When designing an experiment, you must identify the supplies that are necessary to answer your question. In order to do this, you need to figure out what will be test... | 3,273 |
<|im_start|>user
3*13+3*14+3*17+11 = ?
Answer Choices: (A) 125 (B) 126 (C) 130 (D) 143 (E) 151<|im_end|>
<|im_start|>assistant
<think>
</think>
3*13+3*14+3*17+11 = 39 + 42 + 51 + 11 = 143
The answer is D<|endoftext|> | 16,355 |
<|im_start|>user
Solution nodes and antinodes are both areas of wave interference, but they differ in the presence of what condition?
Answer choice: (A) radiation (B) gravity (C) speed (D) motion<|im_end|>
<|im_start|>assistant
<think>
</think>
Check Your Understanding Define nodes and antinodes. Solution Nodes are a... | 653 |
<|im_start|>user
A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in :
Answer Choices: (A) 13 1/3 days (B) 12 1/3 days (C) 15 days (D) 20 days (E) 30 days<|im_end|>
<|im_start|>assistant
<think>
</think>
C... | 76,746 |
<|im_start|>user
It takes 2 workers a total of 12 hours to build a giant machine with each worker working at the same rate. If 3 workers start to build the machine at 11:00 AM, and one extra worker per hour is added beginning at 2:00 PM, at what time will the machine be complete?
Answer Choices: (A) 4:30 (B) 4:45 (C) 5... | 17,011 |
<|im_start|>user
If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the second part is?
Answer Choices: (A) A) 426 (B) B) 526 (C) C) 207 (D) D) 204 (E) E) 272<|im_end|>
<|im_start|>assistant
<think>
</think>
Given ratio
= 1/2:2/3:3/4 = 6:8:9
1st part = 782 * 8/23
= Rs. 272
The answer is E<|endo... | 94,692 |
<|im_start|>user
A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent?
Answer Choices: (A) 17% (B) 10% (C) 20% (D) 18% (E) 40%<|im_end|>
<|im_start|>assistant
<think>
</think>
2420 --- 242
100 --- ? => 10%
The answer is B<|endoftext|> | 2,797 |
<|im_start|>user
Given that 4.21 x 10(power 4), Which of the following options is equal to it?
Answer Choices: (A) 72100 (B) 42100 (C) 42200 (D) 32100 (E) 41100<|im_end|>
<|im_start|>assistant
<think>
</think>
= 4.21 x 10(power 4)
= 4.21 x 10000
= 42100.
The answer is B<|endoftext|> | 24,374 |
<|im_start|>user
The sum of ages of 5 girls born at the intervals of 2 years each is 50 years. What is the age of the youngest girl?
Answer Choices: (A) years (B) years (C) years (D) years (E) years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the ages of children be x, (x + 2), (x + 4), (x + 6) and (x + 8) y... | 17,189 |
<|im_start|>user
If e persons take y days to complete z similar jobs, how long does it take y persons to complete 1 such job?
Answer Choices: (A) z (B) x (C) x/y (D) z/x (E) y/z<|im_end|>
<|im_start|>assistant
<think>
</think>
the Q doesn't seem to be having the any correct answer as a choice..
since we are looking f... | 85,150 |
<|im_start|>user
Running 3/4th of his usual rate, a man is 15min late. Find his usual time in hours ?
Answer Choices: (A) 6/4 hrs (B) 3/4 hrs (C) 9/4 hrs (D) 3/4 hrs (E) 1/4 hrs<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Walking at 3/4th of usual rate implies that time taken would be 4/3th of the u... | 67,008 |
<|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) 826 (C) 207 (D) 269 (E) 208<|im_end|>
<|im_start|>assistant
<think>
</think>
Average mark s... | 42,874 |
<|im_start|>user
Bani has only pennies, dimes, and nickels in a jar. The jar has at least 1 but no more than 4 pennies. If the jar has at least 1 nickel and 1 dime, which of the following could NOT be the total amount of money in the jar?
Answer Choices: (A) 71 (B) 72 (C) 73 (D) 74 (E) 75<|im_end|>
<|im_start|>assistan... | 77,724 |
<|im_start|>user
A bank offers 10% interest rate compounded annually. A person deposits Rs. 20,000 every year in his account. If he does not withdraw any amount, then how much balance will his account show after four years?
Answer Choices: (A) Rs. 102102 (B) Rs. 102220 (C) Rs. 104202 (D) Rs. 104222 (E) Rs. 104233<|im_e... | 48,843 |
<|im_start|>user
|14 - 5| - |8 - 12| = ?
Answer Choices: (A) 3 (B) 2 (C) 1 (D) 5 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
|14 - 5| - |8 - 12| = | 9 | - | -4 | = 9 - 4 = 5
The answer is D<|endoftext|> | 52,549 |
<|im_start|>user
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of C?
Answer Choices: (A) 2250 (B) 3000 (C) 3018 (D) 3019 (E) 3012<|im_end|>
<|im_start|>assistant
<think>
</think>
60... | 77,662 |
<|im_start|>user
Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
Answer Choices: (A) 120 km (B) 960 km (C) 240 km (D) 630 km (E) 456 km<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation... | 66,147 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Vertebrates and invertebrates are both groups of animals.
A vertebrate has a backbone. The backbone is made of many bones in an animal's back. A vertebrate's backbone helps connect the different parts of its body. In the dra... | 5,607 |
<|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... | 6,198 |
<|im_start|>user
When x is divided by y, the quotient is t with remainder r. What is x in terms of r, y, and t?
Answer Choices: (A) y + r + t (B) yt + r (C) x/y+r (D) y/t+r (E) rt + y<|im_end|>
<|im_start|>assistant
<think>
</think>
(x/y) = t + r
solve for x
x=(t*y)+r
The answer is B<|endoftext|> | 51,712 |
<|im_start|>user
Thabo owns exactly 160 books, and each book is either paperback fiction, paperback nonfiction, or hardcover nonfiction. If he owns 20 more paperback nonfiction books than hardcover nonfiction books, and twice as many paperback fiction books as paperback nonfiction books, how many hardcover books nonfic... | 40,735 |
<|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.... | 785 |
<|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.
Verbal irony involves saying one thing but implying something very different. People often use v... | 1,522 |
<|im_start|>user
Worker A takes 8 hours to do a job. Worker B takes 6 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?
Answer Choices: (A) 20/9 (B) 40/9 (C) 50/9 (D) 24/7 (E) 80/9<|im_end|>
<|im_start|>assistant
<think>
</think>
one day work of A = 1/8
one... | 264 |
<|im_start|>user
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Answer Choices: (A) 22 (B) 99 (C) 40 (D) 28 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
800*(25/100) = 200 ---- 5
? ---- 1 => Rs.40
The answer is C<|endoftext|> | 42,553 |
<|im_start|>user
If a train, travelling at a speed of 180 kmph, crosses a pole in 6 sec, then the length of train is?
Answer Choices: (A) 300 (B) 125 (C) 288 (D) 266 (E) 121<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 180 * 5/18 * 6
= 300 m
The answer is A<|endoftext|> | 95,763 |
<|im_start|>user
Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?
Answer Choices: (A) Rs. 1(2/7) (B) Rs. 2(1/9) (C) Rs. 3(2/11) (D) Rs. 2(2/13) (E) Rs. 2(2/7) <|im_end|>
<|im_start|>assistant
<think>
</think>
Here r = 10 % ,x = 100 and A = 5 kg
Actual... | 16,873 |
<|im_start|>user
Look at this series: 53, 53, 43, 43, 33, 33, ... What number should come next?
Answer Choices: (A) A) 23 (B) B) 14 (C) C) 27 (D) D) 53 (E) E) 86<|im_end|>
<|im_start|>assistant
<think>
</think>
In this series, each number is repeated, then 10 is subtracted to arrive at the next number.
The answer is ... | 54,282 |
<|im_start|>user
Ben worked for 7 days on a task that will take him 14 days to complete alone before he was joined by Blake. both of them completed the remaining task in 1 and half days. how many days will it take both of them to complete the entire job?
Answer Choices: (A) 3 (B) 2 (C) 2 (D) 8 (E) 9<|im_end|>
<|im_star... | 81,907 |
<|im_start|>user
If n is an integer from 1 to 96 (inclusive), what is the probability for n*(n+1)*(n+2) being divisible by 8?
Answer Choices: (A) 25% (B) 50% (C) 62.5% (D) 72.5% (E) 75%<|im_end|>
<|im_start|>assistant
<think>
</think>
(A) 25% , to be divisible by 8 the number needs to have 3 2s in it. Only a multiple... | 4,961 |
<|im_start|>user
A bag contains 23 purple jellybeans, 12 green jellybeans, and 15 yellow jellybeans; these jellybeans are the only items in the bag. If a person picks a jellybean at random out of the bag, what is the probability that the jellybean will be green?
Answer Choices: (A) 15% (B) 20% (C) 24% (D) 30% (E) 35%<|... | 23,303 |
<|im_start|>user
It takes Jim N minutes to prepare one omelet. It takes Cole N/2 minutes to prepare one omelet. It takes Mitch N/2 minutes to prepare 2 omelets. If Jim, Cole and Mitch together prepare a total of 30 omelets in 40 minutes, then how many minutes would it take Mitch alone to prepare 30 omelets?
Answer Choi... | 44,847 |
<|im_start|>user
In a flower shop there were 8 flowers in each bouquet. If the seller has doubled the number of flowers in each bouquet then the new average of flowers in each bouque is
Answer Choices: (A) 12 (B) 16 (C) 8 (D) 9 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
Now required ave... | 78,620 |
<|im_start|>user
Caleb won Bruce in a 100 m race by 0.35 m. If Bruce had given Caleb a 6 m head start how many meters more will it take for Bruce to overtake Caleb?
Answer Choices: (A) 7.2m (B) 5.2m (C) 8.2m (D) 4.2m (E) 6.2m<|im_end|>
<|im_start|>assistant
<think>
</think>
Distance Bruce ran before completion of rac... | 56,907 |
<|im_start|>user
The simple form of the ratio 4/3:4/5 is?
Answer Choices: (A) 10:6 (B) 10:3 (C) 15:3 (D) 5:3 (E) 30:3<|im_end|>
<|im_start|>assistant
<think>
</think>
4/3 : 4/5 = 20:12 = 5:3
The answer is D<|endoftext|> | 10,401 |
<|im_start|>user
X is 3 times as fast as Y and is able to complete the work in 40 days less than Y. Find the time in which they can complete the work together?
Answer Choices: (A) 15 days (B) 16 days (C) 17 days (D) 18 days (E) 19 days<|im_end|>
<|im_start|>assistant
<think>
</think>
If X can complete work in x days ... | 41,758 |
<|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 7 pencils and 11 charts have been brought to the meet... | 70,307 |
<|im_start|>user
In a bread recipe, the ratio of water to flour is 13 to 20. There is 168 g more flour than water. How much flour does the recipe call for?
Answer Choices: (A) 400 g (B) 440 g (C) 480 g (D) 510 g (E) 525 g<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x equal the amount of water, and y equal th... | 6,803 |
<|im_start|>user
Find the value of (√1.21)/(√0.81) + (√1.44)/(√0.49) is
Answer Choices: (A) 195/63 (B) 145/63 (C) 155/63 (D) 125/63 (E) 185/63<|im_end|>
<|im_start|>assistant
<think>
</think>
(√1.21)/(√0.81) + (√1.44)/(√0.49)
11/9 + 12/7 => (77 + 108)/63 => 185/63
The answer is E<|endoftext|> | 84,927 |
<|im_start|>user
What controls earth's magnetosphere?
Answer choice: (A) magnetic field (B) ionosphere (C) stratosphere (D) gravitational field<|im_end|>
<|im_start|>assistant
<think>
</think>
Earth's magnetosphere is controlled by the magnetic field. The magnetosphere protects the planet from the solar wind . The so... | 2,461 |
<|im_start|>user
What are magnesium carbonate, aluminum hydroxide, and sodium bicarbonate commonly used as?
Answer choice: (A) salts (B) antibiotics (C) antacids (D) antidepressants<|im_end|>
<|im_start|>assistant
<think>
</think>
Magnesium carbonate, aluminum hydroxide, and sodium bicarbonate are commonly used as an... | 11,653 |
<|im_start|>user
A tourist does not have to pay tax on the first $600 of goods he purchases in Country B, but does have to pay a 7 percent tax on the portion of the total value that is in excess of $600. What tax must be paid by a tourist if he buys goods with a total value of $1720?
Answer Choices: (A) $54.00 (B) $78.... | 41,850 |
<|im_start|>user
If the average marks of three batches of 62, 60 and 45 students respectively is 50, 55, 60, then the
average marks of all the students is
Answer Choices: (A) 54.48 (B) 54.68 (C) 54.6 (D) 54.49 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(62×50)+(60×55)+(45×60)/(... | 1,943 |
<|im_start|>user
Does the force of magnetism increase or decrease as the distance between objects increases?
Answer choice: (A) increase (B) decrease (C) remain stable (D) fluctuate<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 7,644 |
<|im_start|>user
In a panel of 10 light bulbs, the odds of any light bulb to burn out are 0.08 at any given 10 minutes. Should a light bulb burn out, the whole panel would instantly turn off. What are the odds that the panel would be turned off within the first 10 minutes after it was switched on?
Answer Choices: (A) 1... | 4,530 |
<|im_start|>user
Sickle cell disease is caused by production of an abnormal type of what?
Answer choice: (A) fat globule (B) hemoglobin (C) thrombocyte (D) leukocyte<|im_end|>
<|im_start|>assistant
<think>
</think>
down into three major groups: those caused by blood loss, those caused by faulty or decreased RBC produ... | 1,725 |
<|im_start|>user
Are zeroes that show only where the decimal point fall significant or not significant?
Answer choice: (A) not significant (B) neither (C) sometimes significant (D) significant<|im_end|>
<|im_start|>assistant
<think>
</think>
Zeros that show only where the decimal point falls are not significant. For ... | 3,159 |
<|im_start|>user
Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part?
Answer Choices: (A) 23 (B) 14 (C) 31 (D) 35 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
Let $let n$ be the smaller and 71 - n be the larger number. Now, since the larger number exceeds the s... | 95,243 |
<|im_start|>user
The circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 40 ft long. What is the distance traveled by the cart, when the front wheel has done five more revolutions than the rear wheel?
Answer Choices: (A) 20 ft (B) 25 ft (C) 600ft (D) 900 ft (E) 1000 ft<|im_end|>
<|im_... | 29,547 |
<|im_start|>user
A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Answer Choices: (A) 328 (B) 375 (C) 279 (D) 269 (E) 276<|im_end|>
<|im_start|>assistant
<think>
</think>
CP1 = 100 SP1 = 120
CP2 = 80 SP... | 63,582 |
<|im_start|>user
Which gland is located in the sella turcica of the sphenoid bone within the cranial floor?
Answer choice: (A) mammalian gland (B) thyroid gland (C) glucose gland (D) pituitary gland<|im_end|>
<|im_start|>assistant
<think>
</think>
Figure 16.8 Pituitary Tumor The pituitary gland is located in the sell... | 10,518 |
<|im_start|>user
Working alone, John finishes cleaning half the house in a third of the time it takes Nick to clean the entire house alone. John alone cleans the entire house in 6 hours. How many hours will it take Nick and John to clean the entire house if they work together?
Answer Choices: (A) 1.5 (B) 2 (C) 2.4 (D) ... | 61,235 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
When writing, make sure to avoid vague pronoun references. A vague pronoun reference occurs when a pronoun could refer to more than one possible antecedent.
When Lisa and Kim finally landed, she breathed a sigh of relief.
Th... | 2,482 |
<|im_start|>user
A cycle is bought for Rs.1500 and sold for Rs.1620, find the gain percent?
Answer Choices: (A) 11 (B) 8 (C) 10 (D) 20 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
1500 ---- 120
100 ---- ? =>8%
The answer is B<|endoftext|> | 14,947 |
<|im_start|>user
UBA Capital recently bought Brand new vehicles for office use. UBA capital only went for Toyota and Honda and bought more of Toyota than Honda at the ratio of 9:1. If 90% of the Toyota bought and 10% of the Honda bought were SUV’s. How many SUV’s did UBA capital buy in the aforementioned ... | 95,955 |
<|im_start|>user
It costs $18 for the first 1/2 hour to rent a bike. After the first 1/2 hour it costs $10 per hour. If a certain customer uses the bike for 2 hours, how much will it cost him?
Answer Choices: (A) $12 (B) $45 (C) $33 (D) $95 (E) $30<|im_end|>
<|im_start|>assistant
<think>
</think>
2 hours = 120 minute... | 93,362 |
<|im_start|>user
What can be used to accelerate the rate at which chemical reactions occur?
Answer choice: (A) hormones (B) protein (C) components (D) enzymes<|im_end|>
<|im_start|>assistant
<think>
</think>
Enzymes increase the rate of chemical reactions by reducing the amount of activation energy needed for reactan... | 7,715 |
<|im_start|>user
The ratio of 2 numbers is 2:8 and their H.C.F. is 40. Their L.C.M. is ?
Answer Choices: (A) 400 (B) 120 (C) 80 (D) 320 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers be 2x and 8x
Their H.C.F. = 40
so the numbers are 2*40 , 8*40 = 80, 320
L.C.M. = 320
The answer is D<|endoftex... | 39,042 |
<|im_start|>user
Ravi and Ramu are partners in a business.Ravi contributes 1/6 of the capital for 16 months and Ramu received 2/3 of the profit. For how long Ramu's money was used ?
Answer Choices: (A) 7 months (B) 6 months (C) 3 months (D) 8 months (E) 9 months<|im_end|>
<|im_start|>assistant
<think>
</think>
Let th... | 12,695 |
<|im_start|>user
If the annual interest on a principal is 8%, how many years before the amount is double?
Answer Choices: (A) 11.3 (B) 12 (C) 12.5 (D) 10.2 (E) 11.2<|im_end|>
<|im_start|>assistant
<think>
</think>
P = (P*8*R)/100
R = 12.5
The answer is C<|endoftext|> | 25,301 |
<|im_start|>user
The radius of a sphere is increased by 10%. The surface area increases by?
Answer Choices: (A) 21% (B) 31% (C) 41% (D) 51% (E) none of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Since 4 x pi x radius x radius = surface area.
Therefore, net % change in area
= ( x + y + xy/100) %
= [10 + 10... | 95,165 |
<|im_start|>user
Find the invalid no.from the following series 9, 16, 21, 28, 33, 37
Answer Choices: (A) 13 (B) 18 (C) 40 (D) 37 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 37 is wrong.
The answer is D<|endoftext|> | 57,298 |
<|im_start|>user
A test has 160 questions. Each question has 5 options, but only 1 option is correct. If test-takers mark the correct option, they are awarded 1 point. However, if an answer is incorrectly marked, the test-taker loses 0.25 points. No points are awarded or deducted if a question is not attempted. A certa... | 85,230 |
<|im_start|>user
The Kiljaro Highway is marked with Milestones denoting the distance to the town of Kiljaro. Tommy left kiljaro and drove the highway, passing the 40 km milestone at 8:30. Some time afterwards, Tommy got a phone call asking him to return home, and he made a U-turn at the 160 km milestone. At 09:A0 Tommy... | 70,403 |
<|im_start|>user
What is the ratio of 3/7 to the product 3*(7/3)?
Answer Choices: (A) 3:7 (B) 1:3 (C) 3:21 (D) 1:7 (E) 3:49<|im_end|>
<|im_start|>assistant
<think>
</think>
3*(7/3) = 7
So, We need to find the ratio of 3/7 : 7 => 3 : 49
Hence ,
The answer is E<|endoftext|> | 37,863 |
<|im_start|>user
You need to print a document of the area 216 sq cm. Condition is 3 cm margin is to be left at both top & bottom and 2 cm at the sides. What is the optimized size of your paper?
Answer Choices: (A) 60sq.cm (B) 70sq.cm (C) 95sq.cm (D) 80sq.cm (E) 90sq.cm<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 1,491 |
<|im_start|>user
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Answer Choices: (A) 39 (B) 10 (C) 88 (D) 12 (E) 18<|im_end|>
<|im... | 54,469 |
<|im_start|>user
A, B and C can do a piece of work in 4 days, 6 days and 8 days respectively. How long will they taken, if all the three work together?
Answer Choices: (A) 2 (B) 4 (C) 5 (D) 1 11/13 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
1/4 + 1/6 + 1/8 = 13/24 => 24/13 => 1 11/13 days
The answer is D<... | 70,877 |
<|im_start|>user
A train with a length of 100 meters, is traveling at a speed of 72 km/hr. The train enters a tunnel 1.7 km long. How many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
Answer Choices: (A) 0.9 (B) 1.2 (C) 1.5 (D) 1.8 (E) 2.1<|i... | 5,671 |
<|im_start|>user
A courtyard is 20 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is?
Answer Choices: (A) 16000 (B) 27778 (C) 20000 (D) 27999 (E) 17799<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of bricks =Courtyard area/1 brick ... | 31,135 |
<|im_start|>user
Train A leaves the station traveling at 30 miles per hour. Two hours later train В leaves the same station traveling in the same direction at 38 miles per hour. How many miles from the station was train A overtaken by train B?
Answer Choices: (A) 205 (B) 245 (C) 285 (D) 325 (E) 365<|im_end|>
<|im_start... | 59,713 |
<|im_start|>user
A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 30. Find the profit percentage?
Answer Choices: (A) 60% (B) 50% (C) 80% (D) 70% (E) 53%<|im_end|>
<|im_start|>assistant
<think>
</think>
L.C.M of 15 and 12 = 60
CP of 60 articles = Rs. 100 (25 * 4)
SP of 60 articles = Rs. 150 (30... | 14,382 |
<|im_start|>user
A cube of side one meter length is cut into small cubes of side 20 cm each. How many such small cubes can be obtained?
Answer Choices: (A) 2878 (B) 2778 (C) 1000 (D) 120 (E) 125<|im_end|>
<|im_start|>assistant
<think>
</think>
Along one edge, the number of small cubes that can be cut
= 100/20 = 5
Alo... | 96,094 |
<|im_start|>user
What are specialized cells in the brain that monitor the concentration of solutes in the blood called?
Answer choice: (A) osmoreceptors (B) staurikosaurus (C) sporozoans (D) ionconcentrate<|im_end|>
<|im_start|>assistant
<think>
</think>
Many marine invertebrates have internal salt levels matched to ... | 6,298 |
<|im_start|>user
If 5 < x < 9 and y = x + 3, what is the greatest possible integer value of x + y?
Answer Choices: (A) 19 (B) 20 (C) 21 (D) 22 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
x+y = x+x+3 = 2x+3
We need to maximize this value and it needs to be an integer.
2x is an integer when the decimal of x... | 41,685 |
<|im_start|>user
If $1000,000 is invested at x percent simple annual interest for n years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?
Answer Choices: (A) 10,000(x^n) (B) 10,000(x/100) ^n (C) 10,000n(x/100) (D) 1,000,000n(x/100) (... | 66,669 |
<|im_start|>user
Jason is 4 times older than Bob at present. 8 years ago Jason was 12 times older. How old are Jason?
Answer Choices: (A) 10 (B) 11 (C) 12 (D) 13 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Jason age y=4(x)----(1), let us say Jason is x and bob is y
after 8 years Jason age is 8 12 time old... | 54,963 |
<|im_start|>user
If a young child was 19 months old one year ago, how old was the child, in months, x months ago?
Answer Choices: (A) x − 31 (B) x − 12 (C) 19 − x (D) 24 − x (E) 31 − x<|im_end|>
<|im_start|>assistant
<think>
</think>
The child's age today is 19 months + 12 months = 31 months
x months ago, the child's... | 56,804 |
<|im_start|>user
If the cost price of 20 articles is same as the selling price of 25 articles. Find the gain or loss percentage?
Answer Choices: (A) 20% Loss (B) 30% Loss (C) 40% Gain (D) 40% Loss (E) 50% Loss<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
20 cp = 25 sp
Cost price CP = 25
Selling price... | 1,195 |
<|im_start|>user
A and B invest in a business in the ratio 3: 2. Assume that 5% of the total profit goes to charity. If A's share is Rs. 855, what is the total profit?
Answer Choices: (A) 1400 (B) 1500 (C) 1600 (D) 1200 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Assume that the t... | 86,502 |
<|im_start|>user
The points A(0, 0), B(0, 4a - 2) and C(2a + 1, 2a + 6) form a triangle. If angle ABC = 90, what is the area of triangle ABC?
Answer Choices: (A) 58 (B) 70 (C) 63 (D) 65 (E) 72<|im_end|>
<|im_start|>assistant
<think>
</think>
1/2bh=1/2(2a+1)(2a+6)
Now 4a-2=2a+6
2a=8 . a=4
Therefore,
A(0,0); B(0,14); C... | 26,009 |
<|im_start|>user
A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.55 more he would have had a profit of 40%. The cost price of the article is___
Answer Choices: (A) 125 (B) 150.5 (C) 112.5 (D) 113 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
now... | 734 |
<|im_start|>user
Find the average of all prime numbers between 30 and 50.
Answer Choices: (A) 30 (B) 33.6 (C) 39.8 (D) 44.9 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
There are five prime numbers between 30 and 50.
They are 31, 37, 41, 43 and 47
∴ Required average = [31 + 37 + 41 + 43 + 47 / 5] = ... | 73,337 |
<|im_start|>user
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Answer Choices: (A) 49 sec (B) 50 sec (C) 48 sec (D) 43 sec (E) 32 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 540 + 180 = 720
S = 54 * 5/18 = 15 mps
T = 720/15... | 47,351 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Present tense verbs tell you about something that is happening now.
Most present-tense verbs are regular. They have no ending, or they end in -s or -es.
Two verbs are irregular in the present tense, to be and to have. You mu... | 1,954 |
<|im_start|>user
The wheel of an engine 30/7 metres in circumference makes seven revolutions in 4seconds. Find the speed of the train in km per hour?
Answer Choices: (A) 15km/hr (B) 25km/hr (C) 32km/hr (D) 18km/hr (E) 27km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Distance travelled by the train in 4 second... | 22,736 |
<|im_start|>user
If (8x)/(1 - 10y/z) = 3x then which of the following is true?
Answer Choices: (A) z = 5y (B) z = -6y (C) z = y (D) z = -y (E) z = 6y<|im_end|>
<|im_start|>assistant
<think>
</think>
(8x)/(1 - 10y/z) = 3x
=> 8z/(z - 10y) = 3
=> 8z = 3z - 30y
=> 5z = -30y
=> z = -6y
Hence
The answer is B<|endoftext|> | 69,324 |
<|im_start|>user
Charlie, a painter, has 9 jars of paint: 4 are Red, 2 are yellow, and the rest are brown. Charlie will combine 3 jars of paint into a new container to make a new colour, which he will name according to the following conditions: 1) C1, if the paint contains 2 jars of brown paint and no red paint 2) C2, ... | 54,346 |
<|im_start|>user
150 men consume 1050 kg of rice in 30 days. In how many days will 70 men consume 980 kg of rice?
Answer Choices: (A) 968 (B) 960 (C) 911 (D) 989 (E) 922<|im_end|>
<|im_start|>assistant
<think>
</think>
Rate of consumption of each man = 1050/(150 * 30) = 7/30 kg/day
Let us say 70 men take x days to co... | 31,697 |
<|im_start|>user
When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.25, what is the value of y?
Answer Choices: (A) 96 (B) 75 (C) 36 (D) 25 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Guys, one more simple funda.
5/2= 2.5
now .5 x2 =1 is the remainder
25/4 = 6.25
now... | 45,179 |
<|im_start|>user
A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Answer Choices: (A) 320 (B) 600 (C) 700 (D) 350 (E) 500<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 300/18 m/sec = 50/3 m/sec
(x+300/39) = 50/3
x=350 ... | 37,471 |
<|im_start|>user
A man can row with a speed of 24 kmph in still water. If the stream flows at 6 kmph, then the speed in downstream is?
Answer Choices: (A) 27 (B) 23 (C) 30 (D) 28 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 24
S = 6
DS = 24 + 6 = 30
The answer is C<|endoftext|> | 77,304 |
<|im_start|>user
Out of 11 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) 5/17 (B) 26/13 (C) 26/31 (D) 26/33 (E) 5/33<|im_end|>
<|im_start|>assistant
<think>
</think>
P(at least one graduate) = 1 - P(no grad... | 60,493 |
<|im_start|>user
A certain telescope increases the visual range at a particular location from 50 kilometers to 150 kilometers. By what percent is the visual range increased by using the telescope ?
Answer Choices: (A) 30% (B) 33 1/2% (C) 40% (D) 60% (E) 200%<|im_end|>
<|im_start|>assistant
<think>
</think>
Origi... | 76,477 |
<|im_start|>user
Find how many positive integers less than 10,000 are there such thatthe sum of the digits of the no. is divisible by 3?
Answer Choices: (A) 2468 (B) 2789 (C) 2987 (D) 3334 (E) 3568<|im_end|>
<|im_start|>assistant
<think>
</think>
If sum of the digits is divisible by 3, the number is divisible by 3.
T... | 83,445 |
<|im_start|>user
What is the name of the bone that forms the forehead?
Answer choice: (A) frontal bone (B) forebone (C) high bone (D) upper bone<|im_end|>
<|im_start|>assistant
<think>
</think>
Frontal Bone The frontal bone is the single bone that forms the forehead. At its anterior midline, between the eyebrows, the... | 10,825 |
<|im_start|>user
The age of man is three times the sum of the ages of his two sons. Eight years hence,his age will be double of the sum of the ages of his sons.The father’s present age is :
Answer Choices: (A) 40 years (B) 45 years (C) 50 years (D) 55 years (E) 72 years<|im_end|>
<|im_start|>assistant
<think>
</thin... | 57,369 |
<|im_start|>user
The number which exceeds 12% of it by 52.8 is:
Answer Choices: (A) 50 (B) 52 (C) 58 (D) 60 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the number be x. Then, x – 12% of x = 52.8
x – (12/100)x = 52.8
x (1– 12/100) = 52.8
(88/100)x = 52.8
x = (100 X 52.8) / 88 = ... | 52,278 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
When writing, make sure to avoid vague pronoun references. A vague pronoun reference occurs when a pronoun could refer to more than one possible antecedent.
When Lisa and Kim finally landed, she breathed a sigh of relief.
Th... | 5,336 |
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