text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
Answer Choices: (A) 14 years (B) 19 years (C) 24 years (D) 33 years (E) 38 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let t... | 34,258 |
<|im_start|>user
A train 360 m long is running at a speed of 36 km/hr. In what time will it pass a bridge 140 m long?
Answer Choices: (A) 40 sec (B) 50 sec (C) 88 sec (D) 19 sec (E) 10 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 36 * 5/18 = 10 m/sec
Total distance covered = 360 + 140 = 500 m
Required... | 15,354 |
<|im_start|>user
In how many different number of ways 3 boys and 2 girls can sit on a bench?
Answer Choices: (A) 700 (B) 710 (C) 120 (D) 300 (E) 720<|im_end|>
<|im_start|>assistant
<think>
</think>
npn = n!
5p5 = 5 × 4 × 3 × 2 × 1 = 120
C)
The answer is C<|endoftext|> | 28,386 |
<|im_start|>user
The average age of 15 men of a group is 15 years. Out of these, the average age of 5 men is 15 years and that of the other 9 men is 16 years. The age of the 15th man is?
Answer Choices: (A) 11 years (B) 17 years (C) 6 years (D) 14 years (E) 12 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Ag... | 71,423 |
<|im_start|>user
The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 50% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 25% less than the number there from 10 a.m. to 11 a.m. If 75 people were at the bar from 11 a.m... | 88,322 |
<|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... | 6,324 |
<|im_start|>user
How many three digits number can be formed by using the digits 4,5,6,7,8,9 if the repetition of digits not allowed?
Answer Choices: (A) 80 (B) 70 (C) 60 (D) 40 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
For a number to be odd we must have 5,7 or 9 at the unit place. So there 3 ways of fi... | 48,489 |
<|im_start|>user
There are X girls in a class, and their average height is E inches. In the same class, there are Y boys with an average height of F inches. What is the average height of all the students in the class?
Answer Choices: (A) (X + Y) /(M + N) (B) (M + N) /(X + Y) (C) (XM + YN) /(M + N) (D) (XE + YF) /(X ... | 14,286 |
<|im_start|>user
There are 6 identical pens and 9 identical books. In how many different ways can a person select at least one object from this set?
Answer Choices: (A) 15 (B) 30 (C) 69 (D) 78 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
We can select from 0 to 6 pens and from 0 to 9 books.
Thus the total ... | 28,669 |
<|im_start|>user
Each of the cucumbers in 100 pounds of cucumbers is composed of 99% water, by weight. After some of the water evaporates, the cucumbers are now 93% water by weight. What is the new weight of the cucumbers, in pounds?
Answer Choices: (A) 2 (B) 15 (C) 92 (D) 96 (E) 98<|im_end|>
<|im_start|>assistant
<thi... | 19,862 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An allusion is a brief mention of something or someone well known, often from mythology, history, or literature. An allusion lets you reference ideas from an entire story in just a few words.
"I'd better get home before I tu... | 3,039 |
<|im_start|>user
Titration is a method to determine what in acids or bases?
Answer choice: (A) alkalinity (B) maturation (C) glucose (D) concentration<|im_end|>
<|im_start|>assistant
<think>
</think>
The concentration of an acid or base can be determined by titration.
The answer is D<|endoftext|> | 110 |
<|im_start|>user
A boat can move upstream at 25 kmph and downstream at 45 kmph, then the speed of the current is?
Answer Choices: (A) 10 kmph (B) 7 kmph (C) 8 kmph (D) 9 kmph (E) 4 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
US = 25
DS = 45
M = (45 - 25)/2 = 10
The answer is A<|endoftext|> | 72,009 |
<|im_start|>user
The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is
Answer Choices: (A) 4/5 (B) 7/11 (C) 7/13 (D) 7/15 (E) 8/11<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the required fraction be x. Then 1 - x = 9
x 20
1 - x2 = 9
x 20
20 - 20x2 = 9x
20x2 + 9x - 20 ... | 97,132 |
<|im_start|>user
When working alone, painter W can paint a room in 2 hours, and working alone, painter X can paint the same room in h hours. When the two painters work together and independently, they can paint the room in 3/4 of an hour. What is the value of h?
Answer Choices: (A) 3/4 (B) 1[1/5] (C) 1[2/5] (D) 1[3/4] ... | 1,451 |
<|im_start|>user
A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent F of the distribution is less than m +d ?
Answer Choices: (A) 16% (B) 32% (C) 48% (D) 84% (E) 92%<|im_en... | 28,585 |
<|im_start|>user
In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard... | 21,961 |
<|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... | 277 |
<|im_start|>user
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed :
Answer Choices: (A) 30 birds (B) 60 birds (C) 72 birds (D) 90 birds (E) 84 birds<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the no of shots be x. ... | 68,243 |
<|im_start|>user
If one person completes a journey in 10 hrs. He travels 1st half of the journey at the rate of 21 km/hr and 2nd half at therate of 24 km/hr. Find the total journey in km.
Answer Choices: (A) 200 km (B) 212 km (C) 224 km (D) 230 km (E) 256 km<|im_end|>
<|im_start|>assistant
<think>
</think>
distance =... | 94,492 |
<|im_start|>user
A dishonest dealer uses a scale of 80 cm instead of a metre scale and claims to sell at cost price. His profit is
Answer Choices: (A) 9% (B) 10% (C) 25% (D) None of these (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Gain% = (20 / 80 x 100)%
= 25%
The answer is C<... | 93,589 |
<|im_start|>user
You enter a weight loss challenge game and manage to lose 12% of your body weight. For the final weigh in you are forced to wear clothes that add 2% to your weight. What percentage of weight loss is measured at the final weigh in?
Answer Choices: (A) 10.24% (B) 9.22% (C) 9% (D) 14% (E) 12%<|im_end|>
<|... | 26,404 |
<|im_start|>user
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets $500 more than D, what is B's share?
Answer Choices: (A) $500 (B) $1000 (C) $1500 (D) $2000 (E) $2500<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the shares of A, B, C and D be 5x, 2x, 4x and 3... | 39,134 |
<|im_start|>user
Ganesh spends 30% of his monthly salary on food, 5% of the remaining on personal use and saves 80% of the remaining amount. If his monthly salary is Rs.12,000, how much money does he save every month ?
Answer Choices: (A) Rs.3500 (B) Rs.4200 (C) Rs.2000 (D) Rs.1245 (E) Rs. 6384<|im_end|>
<|im_start|>as... | 82,349 |
<|im_start|>user
In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals: I, II and III. 50% of those asked favoured proposal I, 30% favoured proposal II, and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, what percentage Q of those ... | 41,043 |
<|im_start|>user
Which expression is the greatest?
Answer Choices: (A) 3252/3257 (B) 3456/3461 (C) 3591/3596 (D) 3346/3351 (E) 3453/3458<|im_end|>
<|im_start|>assistant
<think>
</think>
Let 3252/3257 be the original fraction.
Notice that it is a positive Proper fraction.
Hence adding the same constant to both the num... | 34,726 |
<|im_start|>user
In the xy-plane, the point (3, 1) is the center of a circle. The point (3, -2) lies inside the circle and the point (-2, 1) lies outside the circle. If the radius r of the circle is an integer, then r =
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
An ... | 41,963 |
<|im_start|>user
How many multiples of 7 are there between 10 and 100 (both are inclusive)?
Answer Choices: (A) 11 (B) 13 (C) 15 (D) 17 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
7 multiples are 14,21,28,---------,98
It should be mentioned whether 10 and 100 are inclusive.
the answer is (98-14)/7+1=13
Th... | 36,588 |
<|im_start|>user
A train 240 m long passed a pole in 24 seconds. How long will it take to pass a platform 650 m long?
Answer Choices: (A) 65 sec (B) 89 sec (C) 100 sec (D) 150 sec (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Speed = [240/24] m/sec = 10 m/sec.
∴ Required time = [240 + 650 / 10] sec
=... | 54,458 |
<|im_start|>user
The energy of a photon is directly proportional to the frequency of the electromagnetic what?
Answer choice: (A) evaporation (B) radiation (C) convection (D) absorption<|im_end|>
<|im_start|>assistant
<think>
</think>
The energy of a photon is directly proportional to the frequency of the electromagn... | 2,308 |
<|im_start|>user
A fort of 1000 soldiers has provisions for 25 days. After 5 days some of them left and the food was now enough for the same period of 25 days as before. How many of them left?
Answer Choices: (A) 50 (B) 100 (C) 150 (D) 175 (E) 200<|im_end|>
<|im_start|>assistant
<think>
</think>
2000 ---- 50
1000 ---... | 56,294 |
<|im_start|>user
If all the sides of a right triangle increase in length by 8%, then by what percentage does the area of the triangle increase?
Answer Choices: (A) 8% (B) 16.64% (C) 24.32% (D) 32.84% (E) 36.16%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let B be the base and H be the height of the original tria... | 87,598 |
<|im_start|>user
You play the following game with a friend. You share a pile of chips, and you take turns
removing between one and four chips from the pile. (In particular, at least one chip must be
removed on each turn.) The game ends when the last chip is removed from the pile; the one
who removes it is the loser.
It... | 1,495 |
<|im_start|>user
A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.840 find the share of A.
Answer Choices: (A) 240 (B) 388 (C) 379 (D) 277 (E) 320<|im_end|>
<|im_start|>assistant
<think>
</think>
Expla... | 69,289 |
<|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.
Hyperbole is an obvious exaggeration that is not meant to be taken literally.
I ate so much that... | 5,358 |
<|im_start|>user
If 7^q is a factor of the product of the integers from 1 to 100, inclusive, what is the largest value of q?
Answer Choices: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
So the question just means that we have to find all the multiples q of 7 between 1 to 100
So ... | 70,931 |
<|im_start|>user
If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
Answer Choices: (A) 1123 (B) 1234 (C) 1452 (D) 1356 (E) 1365<|im_end|>
<|im_start|>assistant
<think>
</think>
A particular player is always chosen, it means that 10 players are selected out of the rem... | 53,797 |
<|im_start|>user
What are the three types of symbiotic relationships?
Answer choice: (A) pledgism, truism, greenism (B) symbiosis , communalism , parasitism (C) altruism, conservatism, communalism (D) mutualism, communalism, parasitism<|im_end|>
<|im_start|>assistant
<think>
</think>
Symbiosis describes a close and l... | 3,930 |
<|im_start|>user
What is the area of a right angle triangle with base = 12 and height = 14 ?
Answer Choices: (A) 80 (B) 81 (C) 82 (D) 83 (E) 84<|im_end|>
<|im_start|>assistant
<think>
</think>
Since the area of a right angle triangle is 1/2 * base * height
Area = 1/2 * 12 * 14
= 84
The answer is E<|endoftext|> | 66,212 |
<|im_start|>user
If the cost price of 22 articles is equal to the selling price of 16 articles, What is the percentage of profit or loss that the merchant makes?
Answer Choices: (A) 20% loss (B) 37.5 % profit (C) 37.5 % loss (D) 30.33% loss (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanatio... | 29,024 |
<|im_start|>user
Find the one which does not belong to that group?
Answer Choices: (A) 16 (B) 36 (C) 21 (D) 64 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
16, 36, 64 and 4 are perfect squares but not 21.
The answer is C<|endoftext|> | 43,346 |
<|im_start|>user
If a discount of 16% is given on the marked price of a book, the publisher gains 20%. If the discount is increased to 20% the gain percent is
Answer Choices: (A) 14 2/7% (B) 14 1/7% (C) 14 3/7% (D) 14 4/7% (E) 14 5/7%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let MP = 100, then SP = 100 - 16 =... | 82,020 |
<|im_start|>user
8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the water is 16 : 65. How much wine the cask hold originally ?
Answer Choices: (A) 18 litres (B) 24 litres of wine (C) 3... | 14,638 |
<|im_start|>user
A car drives 60 miles on local roads at 20 mph, and 195 miles on the highway at 65 mph, what is the average speed of the entire trip?
Answer Choices: (A) 36 mph (B) 40 mph (C) 44 mph (D) 43 mph (E) 58 mph<|im_end|>
<|im_start|>assistant
<think>
</think>
So The Answer is Plainly D....
we have a genera... | 61,653 |
<|im_start|>user
Find the unit's digit in (264)^102 + (264)^103
Answer Choices: (A) 4 (B) 1 (C) 5 (D) 0 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Required unit's digit = unit's digit in (4)^102 + (4)^103.
Now, 4^2 gives unit digit 6.
Therefore, (4)^102 gives unit digit 6.
Therefore, (4)^103 gives unit di... | 39,884 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
During peer review, you read and respond to a fellow student's writing. While there are many methods and strategies that you can use for reviewing a text, it is generally helpful to frame your suggestions in concrete and con... | 2,564 |
<|im_start|>user
At what rate percent on simple interest will Rs.1500 amount to Rs.2000 in 5 years?
Answer Choices: (A) 8.33 % (B) 3 6/7 % (C) 2 6/7 % (D) 5 % (E) 6 %<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
500 = (1500x5xR)/100
R = 8.33 %
The answer is A<|endoftext|> | 21,129 |
<|im_start|>user
The 200 students in a group are to be seated in rows so that there is an equal number of students in each row. Each of the following could be the number of rows EXCEPT
Answer Choices: (A) 4 (B) 20 (C) 50 (D) 40 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
Obviously the number of rows ... | 3,108 |
<|im_start|>user
A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:
Answer Choices: (A) 11 (B) 12 (C) 10 (D) 13 (E) 10.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.
Man's rate aga... | 23,126 |
<|im_start|>user
A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. What is the length of the bridge (in metres)?
Answer Choices: (A) 1280 (B) 1250 (C) 1320 (D) 1340 (E) 1350<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 5 km/hr
Time = 15 minutes = 1/4 hour
Length of the bridge = Distance... | 46,722 |
<|im_start|>user
A flagstaff 17.5 m high casts a shadow of length 40.25 m. What will be the height of a building, which casts a shadow of length 28.75 m under similar conditions?
Answer Choices: (A) 12.5 m (B) 10.5 m (C) 14 (D) 12 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the required... | 90,130 |
<|im_start|>user
A man can row downstream at 28 kmph and upstream at 16 kmph. Find the speed of stream ?
Answer Choices: (A) 8 (B) 5 (C) 4 (D) 6 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.
Given x + y = 28 --- (1... | 16,273 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A letter starts with a greeting and ends with a closing. For each one, capitalize the first word and end with a comma. You should also capitalize proper nouns, such as Aunt Sue.
Dear Aunt Sue,
I'm glad you could come to my p... | 3,151 |
<|im_start|>user
If shares of two persons in profits are Rs.300 and Rs.500 then ratio of their capitals is
Answer Choices: (A) 3:4 (B) 3:5 (C) 4:3 (D) 1:3 (E) 1:5<|im_end|>
<|im_start|>assistant
<think>
</think>
total profit =1000
ratio=300/500
=3:5
The answer is B<|endoftext|> | 44,606 |
<|im_start|>user
An electric motor makes 3,000 revolutions per minutes. How many degrees does it rotate in one second?
Answer Choices: (A) 18.000 d/sec (B) 28.000 d/sec (C) 38.000 d/sec (D) 26.000 d/sec (E) 35.000 d/sec<|im_end|>
<|im_start|>assistant
<think>
</think>
3000 revolutions / minute
= 3000*360 degrees / 60... | 78,755 |
<|im_start|>user
A whale goes on a feeding frenzy that lasts for 12 hours. For the first hour he catches and eats 30 kilos of plankton. In every hour after the first, it consumes 2 kilos of plankton more than it consumed in the previous hour. If by the end of the frenzy the whale will have consumed a whopping accumulat... | 69,846 |
<|im_start|>user
A 50 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Answer Choices: (A) 24.28 (B) 14.28 (C) 16.28 (D) 18.28 (E) 12.28<|im_end|>
<|im_start|>assistant
<think>
</think>
1: 2/5 = 5: 2
2/7 * 50 = 14.28
The answer is ... | 62,938 |
<|im_start|>user
In a certain game, you perform three tasks. You flip a coin, and success would be heads. You roll a single die, and success would be a two. You pick a card from a full playing-card deck, and success would be picking a spades card. If exactly one of these three tasks is successful, then you win the game... | 27,853 |
<|im_start|>user
An aeroplane covers a certain distance of 450 Kmph in 4 hours. to cover the same distance in 3 2/3 hours, it Must travel at a speed of
Answer Choices: (A) 440 (B) 490 (C) 640 (D) 740 (E) 250<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of aeroplane = 450 Kmph
Distance travelled in 4 hours
=... | 47,833 |
<|im_start|>user
If the sum of the 4th term and the 12th term of an arithmetic progression is 16, what is the sum of the first 15 terms of the progression?
Answer Choices: (A) 80 (B) 100 (C) 105 (D) 120 (E) 110<|im_end|>
<|im_start|>assistant
<think>
</think>
4th term + 12th term = 16
i.e., (a+3d)+(a+11d) = 16
Now, S... | 38,225 |
<|im_start|>user
The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 20 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
Answer Choices: (A) 28% (B) 40% (C) 64.8% (D) 70%... | 86,975 |
<|im_start|>user
A restaurant meal cost $55 and there was no tax. If the tip was more than 20 percent but less than 30 percent of the cost of the meal, then total amount paid must have been between:
Answer Choices: (A) $65 and $72 (B) $66 and $71 (C) $64 and $71 (D) $63 and $70 (E) $67 and $73<|im_end|>
<|im_start|>ass... | 39,687 |
<|im_start|>user
Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 40hr. If all pipes are opened simultaneously, then the cistern will be filled in
Answer Choices: (A) 6.32 hr (B) 8 hr (C) 8.5 hr (D) 10 hr (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solu... | 58,929 |
<|im_start|>user
How many seconds will a 400 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Answer Choices: (A) 20 (B) 30 (C) 40 (D) 24 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of train relative to man =... | 65,315 |
<|im_start|>user
The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 280 sq cm. Find the area of the square?
Answer Choices: (A) 482 (B) 268 (C) 260 (D) 480 (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the side of the square be a cm. Let the ... | 28,137 |
<|im_start|>user
29 persons can repair a road in 16 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Answer Choices: (A) 12.88 (B) 3.88 (C) 13.88 (D) 15 (E) 18.8<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the required number of days be x
More persons, ... | 59,202 |
<|im_start|>user
Harkamal purchased 3 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Answer Choices: (A) A) 700 (B) B) 1065 (C) C) 1070 (D) D) 1075 (E) E) 1080<|im_end|>
<|im_start|>assistant
<think>
</think>
Cost of 3 kg grapes = 70 ×... | 19,099 |
<|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... | 388 |
<|im_start|>user
What positive number, when squared, is equal to the cube of the positive square root of 17?
Answer Choices: (A) 64 (B) 32 (C) 8 (D) 4 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the positive number be x
x^2 = ((17)^(1/2))^3
=>x^2 = 4^3 = 64
=> x = 8
The answer is C<|endoftext|> | 39,752 |
<|im_start|>user
The average (arithmetic mean) of eight numbers is 46.1. If the sum of half of these numbers is 158.4, what is the average of the other half?
Answer Choices: (A) 12.8 (B) 24.2 (C) 52.6 (D) 72.1 (E) 96.8<|im_end|>
<|im_start|>assistant
<think>
</think>
arithmetic mean = sum / total numbers
sum = 46.1 *... | 78,939 |
<|im_start|>user
What is the normal price of an article sold at $144 after two successive discounts of 10% and 20%?
Answer Choices: (A) $184 (B) $192 (C) $200 (D) $208 (E) $216<|im_end|>
<|im_start|>assistant
<think>
</think>
0.8*0.9*cost price = $144
cost price = $200
The answer is C<|endoftext|> | 62,883 |
<|im_start|>user
Evaluate: 30 - 12*3*2 = ?
Answer Choices: (A) 62 (B) 52 (C) 32 (D) 12 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
According to order of operations, 12?3?2 (division and multiplication) is done first from left to right
12**2 = 4* 2 = 8
Hence
30 - 12*3*2 = 30 - 8 = 22
The answer is E<|endof... | 2,295 |
<|im_start|>user
Roy was suffering from severe headaches. He went to see his doctor and the doctor gave him five tablets asking him to take one tablet every 15 minutes.
How much time will it take Roy to consume all the five tablets?
Answer Choices: (A) 60 min (B) 50 min (C) 70 min (D) 65 min (E) 80 min<|im_end|>
<|im_s... | 85,439 |
<|im_start|>user
Aman started a business investing Rs. 30,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman ... | 67,024 |
<|im_start|>user
What energy, produced by vibrations, cannot travel through empty space?
Answer choice: (A) light (B) heat (C) plasma (D) sound<|im_end|>
<|im_start|>assistant
<think>
</think>
The drummer in Figure below is hitting the drumheads with drumsticks. This causes the drumheads to vibrate. The vibrations pa... | 9,365 |
<|im_start|>user
What type of climates is malaria commonly found in?
Answer choice: (A) tropic and arctic (B) tropical and permafrost (C) arid and arctic (D) tropical and subtropical<|im_end|>
<|im_start|>assistant
<think>
</think>
Malaria is common in tropical and subtropical climates throughout the world (see Figur... | 5,199 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down from biological parents to their offspring through genes. Gen... | 2,515 |
<|im_start|>user
Rahul can finish one-fifth of hhis homework in one hour.Neha can finish three-seventh of her homework in one hout thirty minutes and riya can finish three fourth of her homework in three hours thirty minutes.If all of them start their homework at 12:00pm and can go to play as soon as they all finish th... | 38,080 |
<|im_start|>user
Sophia finished 2/3 of a book. She calculated that she finished 90 more pages than she has yet to read. How long is her book?
Answer Choices: (A) 270 (B) 260 (C) 250 (D) 230 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
Let x be the total number of pages in the book, then she fi... | 78,043 |
<|im_start|>user
If the sides of a triangle are 39 cm, 32 cm and 10 cm, what is its area?
Answer Choices: (A) 120 (B) 772 (C) 288 (D) 160 (E) 2848<|im_end|>
<|im_start|>assistant
<think>
</think>
The triangle with sides 39 cm, 32 cm and 10 cm is right angled, where the hypotenuse is 39 cm.
Area of the triangle = 1/2 ... | 28,709 |
<|im_start|>user
A, B and C, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $ 4680, what will be A's share of the earnings?
Answer Choices: (A) $1100 (B) $520 (C) $2080 (D) $1170 (E) $630<|im_end|>
<|im_start|>assistant
<think>
</th... | 89,913 |
<|im_start|>user
√(9)^2
Answer Choices: (A) 3 (B) 14 (C) 9 (D) 21 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
explanation
√(9)^2 =?
or, ? = 9
The answer is C<|endoftext|> | 20,715 |
<|im_start|>user
The compounded ratio of (2 : 3), (6: 11) and (11 :2) is :
Answer Choices: (A) 1:2 (B) 5:9 (C) 2:1 (D) 11:24 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer: Option C
2/3 : 6/11 : 11/2 = 2:1
The answer is C<|endoftext|> | 95,177 |
<|im_start|>user
The average of first 13 even numbers is?
Answer Choices: (A) 10 (B) 11 (C) 12 (D) 13 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of 13 even numbers = 13 * 14 = 110
Average = 182/13 = 14
The answer is E<|endoftext|> | 40,496 |
<|im_start|>user
City A's population is 68000, decreasing at a rate of 80 people per year. City B having population 42000 is increasing at a rate of 120 people per year. In how many years both the cities will have same population?
Answer Choices: (A) 135years (B) 140years (C) 110years (D) 130years (E) 120years<|im_end|... | 84,282 |
<|im_start|>user
SCORE INTERVAL----------------NUMBER OF SCORES
50-59-------------------------- 2
60-69--------------------------10
70-79--------------------------16
80-89--------------------------5
90-99--------------------------2
The table above shows the distribution of test scores for a group of management trainees... | 67,751 |
<|im_start|>user
The product of two consecutive negative even integers is 24. Find the numbers.
Answer Choices: (A) -2, -4 (B) -10, -12 (C) -6, -8 (D) -4, -6 (E) -12, -14<|im_end|>
<|im_start|>assistant
<think>
</think>
(n)(n + 2) = 24
n2 + 2n = 24
n2 + 2n – 24 = 0
(n + 6)(n – 4) = 0
Then the solutions are n = –6 and... | 7,508 |
<|im_start|>user
A 40-liter solution of alcohol and water is 5 percent alcohol. If 5.5 liters of alcohol and 4.5 liters of water are added to this solution, what percent of the solution produced is alcohol?
Answer Choices: (A) 9% (B) 11% (C) 13% (D) 15% (E) 17%<|im_end|>
<|im_start|>assistant
<think>
</think>
The per... | 73,171 |
<|im_start|>user
The number 35 is equal to the sum of the cubes of two integers. What is the product of those integers?
Answer Choices: (A) 6 (B) 15 (C) 21 (D) 27 (E) 39<|im_end|>
<|im_start|>assistant
<think>
</think>
2^3 + 3^3 =35 therefore product is 2*3=6
A
The answer is A<|endoftext|> | 36,424 |
<|im_start|>user
In a class of 100 students, there are 50 who play soccer, 45 who play
basketball, and 50 who play volleyball. Only 15 of these students play all
three sports. Everyone plays at least one of these sports. How many of
the students play exactly two of these sports?
Answer Choices: (A) 15 (B) 20 (C) 25 (D)... | 64,148 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Gravitational potential energy is stored between any two objects. So, for every object on or near Earth, there is gravitational potential energy stored between the object and Earth.
The amount of gravitational potential ener... | 2,163 |
<|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.... | 6,328 |
<|im_start|>user
A tin of oil was 4/5full.when 6 bottles of oil were taken out and four bottles of oil were poured into it, it was ¾ full. how many bottles of oil can the tin contain?
Answer Choices: (A) 20 (B) 40 (C) 60 (D) 80 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose x bottles can fill the tin... | 3,861 |
<|im_start|>user
Charles walks over a railway-bridge. At the moment that he is just ten meters away from the middle of the bridge, he hears a train coming from behind. At that moment, the train, which travels at a speed of 90 km/h, is exactly as far away from the bridge as the bridge measures in length. Without hesitat... | 13,546 |
<|im_start|>user
A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum?
Answer Choices: (A) 198 (B) 279 (C) 267 (D) 200 (E) 269<|im_end|>
<|im_start|>assistant
<think>
</think>
P(11/10)4 - P(6/... | 44,907 |
<|im_start|>user
At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
Answer Choices: (A) 7% (B) 2% (C) 4% (D) 9% (E) 5%<|im_end|>
<|im_start|>assistant
<think>
</think>
150 = (750*5*R)/100
R = 4%
The answer is C<|endoftext|> | 55,396 |
<|im_start|>user
What is the slope of a line on a standard
xy-plane that passes through the point
(1, 3) and (4, –3)?
Answer Choices: (A) -1 (B) 2 (C) -2 (D) 1/2 (E) -1/2<|im_end|>
<|im_start|>assistant
<think>
</think>
Plug the values for the coordinates into the formula for the slope of a line:
Slope=y2-y1/x2-x1=-3... | 85,571 |
<|im_start|>user
What organelles are known as the energy "powerhouses" of the cells?
Answer choice: (A) proteins (B) atoms (C) carbohydrates (D) mitochondria<|im_end|>
<|im_start|>assistant
<think>
</think>
In stage two, the pyruvate molecules are transported into the mitochondria. The mitochondria are the organelles... | 9,912 |
<|im_start|>user
Organisms that depend on other organisms for food play what role in the food chain?
Answer choice: (A) fungus (B) consumer (C) producer (D) plant<|im_end|>
<|im_start|>assistant
<think>
</think>
Consumers are organisms that depend on other organisms for food. They take in organic molecules by essenti... | 10,997 |
<|im_start|>user
If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability T that this product will be a multiple of 45?
Answer Choices: (A) 1/32 (B) 1/28 (C) 1/24 (D) 1/16 (E) 1/14<|im_end|>
<|im_start|>assistant
<think>
</think>... | 21,968 |
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