text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
A cycle is bought for Rs.900 and sold for Rs.1170, find the gain percent?
Answer Choices: (A) 27% (B) 20% (C) 80% (D) 30% (E) 24%<|im_end|>
<|im_start|>assistant
<think>
</think>
900 ---- 270
100 ---- ? => 30%
The answer is D<|endoftext|> | 96,754 |
<|im_start|>user
On a game show, a contestant is given three keys, each of which opens exactly one of the three identical boxes.The contestant assigns each key to one of the boxes and wins the amount of money contained in any box that is opened by the key assigned to it. The first box contains $4, the second $400, and ... | 53,641 |
<|im_start|>user
Employees at a company will vote for an executive team of five people from eight qualified candidates. The executive team consists of a president, a treasurer, and three warrant officers. If an executive team is considered different if any of the same people hold different offices, then how many possib... | 3,517 |
<|im_start|>user
In a party every person shakes hands with every other person. If there were a total of 120 handshakes in the party then what is the number of persons present in the party ?
Answer Choices: (A) 15 (B) 16 (C) 17 (D) 18 (E) 19<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Let the number... | 62,139 |
<|im_start|>user
1, 8, 27, 64, 125, 216, (....)
Answer Choices: (A) 354 (B) 392 (C) 343 (D) 245 (E) 275<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
The pattern is 13, 23, 33, 43, 53, 63, etc
Hence, next number is 73 = 343
The answer is C<|endoftext|> | 62,784 |
<|im_start|>user
In the rectangular coordinate system, what is the x-intercept of a line passing through (10, 3) and (−8, −6)?
Answer Choices: (A) 4 (B) 2 (C) 0 (D) −2 (E) −4<|im_end|>
<|im_start|>assistant
<think>
</think>
slope = rise/run = 9/18 = 1/2
The equation of the line is y = (1/2)x + b
3 = (1/2)(10) + b
b =... | 66,581 |
<|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... | 1,714 |
<|im_start|>user
A student gets 60% in one subject, 70% in the other. To get an overall of 70% how much should get in third subject.
Answer Choices: (A) 75% (B) 80% (C) 45% (D) 55% (E) 65%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the 3rd subject % = x
60+70+x = 3*70
130+x =210
x = 210-130 = 80
The answer ... | 43,495 |
<|im_start|>user
Zoe is interested in dividing her high school trophies into boxes so they can be put away in storage. Unfortunately, they do not divide equally. It turns out that in order for the boxes to each have an equal number of trophies, Zoe won't need one of the boxes and will have to add two of her college tro... | 2,606 |
<|im_start|>user
The value of (4 3) + 2 is
Answer Choices: (A) 33 (B) 10 (C) 14 (D) 24 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Evaluating, (4 3) + 2 = 12 + 2 = 14.
The answer is C<|endoftext|> | 41,413 |
<|im_start|>user
In what ratio must tea at Rs.60 per Kg be mixed with tea at Rs.70 per Kg so that the mixture must be worth Rs.63 per Kg?
Answer Choices: (A) 3 : 1 (B) 3 : 2 (C) 4 : 3 (D) 7 : 3 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Required ratio = 700 : 300 = 7 : 3
The answer is D<|endoftext|> | 30,286 |
<|im_start|>user
2,200 has how many positive divisors?
Answer Choices: (A) 12 (B) 16 (C) 20 (D) 24 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
By factorization, we can write 2200 as 2200=2^3*5^2*11.
The number of factors is (3+1)(2+1)(1+1) = 24
The answer is D<|endoftext|> | 43,595 |
<|im_start|>user
How many ways are there for 6 males and 3 females to sit (around a circular table) if no male should sit next to a male (and no female next to female) and Mary wants to sit with her back on the wall?
Answer Choices: (A) 6 (B) 12 (C) 72 (D) 100 (E) 1440<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 17,880 |
<|im_start|>user
In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
Answer Choices: (A) 11719 (B) 11710 (C) 11712 (D) 11750 (E) 11751<|im_end|>
<|im_start|>assistant
<think>
</think>
200 + 130 = 330
800 - 330 = 470
20... | 5,152 |
<|im_start|>user
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?
Answer Choices: (A) 50 (B) 30 (C) 40 (D) 10 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Meal for 200 children = Meal for 120 men
... | 50,343 |
<|im_start|>user
A man said to his son, "I was two-third of your present age when you were born". If the present age of the man is 48 years, find the present age of the son?
Answer Choices: (A) 25.7 years (B) 28 years (C) 29.3 years (D) 28.8 years (E) 30 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanat... | 74,440 |
<|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... | 3,379 |
<|im_start|>user
What connects the fetus to the placenta?
Answer choice: (A) umbilical cord (B) fallopian tube (C) microbial cord (D) eustachian tube<|im_end|>
<|im_start|>assistant
<think>
</think>
The fetus is connected to the placenta through the umbilical cord.
The answer is A<|endoftext|> | 2,699 |
<|im_start|>user
find the number, If 50 is subtracted from two-third of number, the result is equal to sum of 40 and one-fourth of that number.
Answer Choices: (A) 214 (B) 216 (C) 114 (D) 116 (E) 118<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the number is x,
=>2/3x−50=1/4x+40
<=>2/3x−1/4x=90
<... | 66,248 |
<|im_start|>user
In a forest 170 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 5 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage o... | 60,887 |
<|im_start|>user
In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 6% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than ... | 19,664 |
<|im_start|>user
The product of all the prime numbers less than 12 is closest to which of the following powers of 10 ?
Answer Choices: (A) 10^9 (B) 10^3 (C) 10^7 (D) 10^6 (E) 10^5<|im_end|>
<|im_start|>assistant
<think>
</think>
P = 2*3*5*7*11
~ 10^ 3
The answer is B<|endoftext|> | 18,098 |
<|im_start|>user
Nitin borrowed some money at the rate of 6% p.a. for the first three years,9% p.a. for the next five years and 13% p.a. for the period beyond eight years.If the total interest paid by him at the end of eleven years is Rs. 8160,how much money did he borrow ?
Answer Choices: (A) Rs. 8000 (B) Rs. 10,000 (... | 39,289 |
<|im_start|>user
The radius of the two circular fields is in the ratio 4: 10 the area of the second field is what percent greater than the area of the first?
Answer Choices: (A) 72% (B) 96% (C) 94% (D) 84% (E) 82%<|im_end|>
<|im_start|>assistant
<think>
</think>
r = 4 πr2 = 16
r = 10 πr2 = 100
100 π – 84 π
100 ... | 47,044 |
<|im_start|>user
A woman complete a journey in 10 hours. She 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) 334 km. (B) 216 km. (C) 314 km. (D) 224 km. (E) 544 km.<|im_end|>
<|im_start|>assistant
<think>
</think>
D
2... | 27,497 |
<|im_start|>user
If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is?
Answer Choices: (A) 2:1 (B) 2:98 (C) 2:2 (D) 2:9 (E) 2:4<|im_end|>
<|im_start|>assistant
<think>
</think>
Let 1 man's 1 day work = x and ... | 58,175 |
<|im_start|>user
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Answer Choices: (A) 7 (B) 4 (C) 6 (D) 9 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 45
S = 1.5
... | 13,923 |
<|im_start|>user
The distance from City A to City B is 60 miles. While driving from City A to City B, Bob drives at a constant speed of 40 miles per hour. Alice leaves City A 30 minutes after Bob. What is the minimum constant speed in miles per hour that Alice must exceed in order to arrive in City B before Bob?
Answer... | 27,440 |
<|im_start|>user
If xerox paper costs 5 cents a sheet and a buyer gets 10% discount on all xerox paper one buys after the first 2000 papers and 20% discount after first 10000 papers, how much will it cost to buy 35000 sheets of xerox paper?
Answer Choices: (A) $1250 (B) $1060 (C) $1450 (D) $900 (E) $1000<|im_end|>
<|im... | 55,077 |
<|im_start|>user
A fisherman sells 300 fish for Rs. 9000 at a profit of Rs. 6 per fish. Find his cost price for one metre of cloth?
Answer Choices: (A) 24 (B) 36 (C) 30 (D) 18 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
SP per fish = 9000/300 = Rs. 30 Profit per fish = Rs. 6 CP per metre = 30 - 6
= Rs. 24... | 86,091 |
<|im_start|>user
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Answer Choices: (A) 98% (B) 20% (C) 80% (D) 90% (E) 23%<|im_end|>
<|im_start|>assistant
<think>
</think>
900 ---- 180
100 ---- ? => 20%
The answer is B<|endoftext|> | 49,425 |
<|im_start|>user
If there are 200 questions in a 3 hr examination. Among these questions are 15 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems?
Answer Choices: (A) 72 min (B) 25.11628 min (C) 70 min (D) 74.11682 mi... | 31,905 |
<|im_start|>user
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 10%?
Answer Choices: (A) 20% (B) 28% (C) 27% (D) 35% (E) 70%<|im_end|>
<|im_start|>assistant
<think>
</think>
SP2 = 2/3 SP1
CP = 100
SP2 = 90
2/3 SP1 = 90
SP1 = 135
100... | 62,254 |
<|im_start|>user
The price of rice falls by 20%. How much rice can be bought now with the money that was sufficient to buy 40 kg of rice previously?
Answer Choices: (A) 5 kg (B) 15 kg (C) 25 kg (D) 50 kg (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution: Let Rs. 100 be spend on rice initially for 40 ... | 38,837 |
<|im_start|>user
If x is to be chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be even?
Answer Choices: (A) 1/6 (B) 1/3 (C) 1/2 (D) 2 by 3 (E) 5/6<|im_end|>
<|im_start|>assistant
<think>
</think>
In order to make even nos. by mult... | 5,706 |
<|im_start|>user
Sequence W consists of 16 consecutive integers. If -6 is the least integer in sequence W, what is the range of the positive integers in sequence W?
Answer Choices: (A) 16 (B) 15 (C) 9 (D) 8 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Since set W consists of 16 consecutive integers and... | 18,618 |
<|im_start|>user
If x and y are positive integers, and 1 is the greatest common divisor of x and y, what is the greatest common divisor G of 2x and 3y?
Answer Choices: (A) G=1 (B) G=Cannot be determined (C) G=2 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
My explanation: from question stem we know tha... | 34,349 |
<|im_start|>user
If x and y are positive odd integers, then which of the following must also be an odd integer?
I. x^(y+1)
II. x(y+1)
III. (y+1)^(x-1) + 1
Answer Choices: (A) I only (B) II only (C) III only (D) I and III (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
I. x^(y+1)>> (odd)^even=od... | 40,815 |
<|im_start|>user
What is the most commonly used source of energy in the world?
Answer choice: (A) electricity (B) wind (C) water (D) oil<|im_end|>
<|im_start|>assistant
<think>
</think>
Oil is a thick, dark brown or black liquid. It is found in rock layers of the Earth's crust. Oil is currently the most commonly used... | 9,552 |
<|im_start|>user
The ratio of the present age of Viju to that of Aju is 7:2. Four years from now, the ratio of the ages of Viju to Aju will be 5:2. What was Viju age 6 years ago ?
Answer Choices: (A) 10 years (B) 15 years (C) 20 years (D) 25 years (E) 30 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the ... | 90,675 |
<|im_start|>user
There are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
Answer Choices: (A) 1800 (B) 3200 (C) 2600 (D) 3600 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
There are 5 subjects and 6 pe... | 69,109 |
<|im_start|>user
If x=kc and y=kt,then y+2x =?
Answer Choices: (A) k(t-c) (B) k(c-t) (C) k(t+2c) (D) t(k-c) (E) k(1-t) <|im_end|>
<|im_start|>assistant
<think>
</think>
Just put in the given values of y and x
y +2x = kt +2 kc
Now take k common
y +2 x = k(t +2c)
You get (C) as your
The answer is C<|endoftext|> | 57,777 |
<|im_start|>user
Rajesh, Sunil and Tarun enter into a partnership. Rajesh invested Rs.25000 and after one year he adds Rs.10,000 more. Sunil initially invests Rs.35,000 and after 2 years he withdraws Rs.10,000 and Tarun invests Rs.19,000 in the beginning only. Then ratio of their profits after 3 years will be
Answer Ch... | 69,112 |
<|im_start|>user
A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone.
Answer Choices: (A) 2 days (B) 1 ½ days (C) 3 days (D) 3 ½ days (E) 4 days<|im_end|>
<|im_start|>assistant
<think>
</think>... | 20,811 |
<|im_start|>user
Most autotrophs make their "food" through which process, using the energy of the sun?
Answer choice: (A) photosynthesis (B) glycolysis (C) atherosclerosis (D) oculitis<|im_end|>
<|im_start|>assistant
<think>
</think>
Autotrophs store chemical energy in carbohydrate food molecules they build themselve... | 10,647 |
<|im_start|>user
From a pack of 52 cards, 1 card is drawn at random. What is the probability that a king is drawn?
Answer Choices: (A) 1/4 (B) 4/13 (C) 1/13 (D) 3/26 (E) 7/52<|im_end|>
<|im_start|>assistant
<think>
</think>
The total number of cards is 52.
The number of kings is 4.
P(king) = 4/52 = 1/13
The answer is... | 57,459 |
<|im_start|>user
What is the units digit of (147^25)^50 ?
Answer Choices: (A) 1 (B) 3 (C) 5 (D) 7 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
The units digit of the exponents of 7 repeat in a cycle of four, which is {7,9,3,1}. The number 25 has the form 4n+1 so the units digit is 7 inside the bracket. The ... | 54,861 |
<|im_start|>user
Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If they are 70 km apart both 3 and 6 hours after start, then find the distance between the two stations.
Answer Choices: (A) 210 km (B) 240 km (C) 220km (D) 180km (E) 190km<|im_end|>
<|im_start|>assista... | 64,286 |
<|im_start|>user
Water boils at 212°F or 100°C and ice melts at 32°F or 0°C . If the temperature of a pot of water is 50°C, what is the temperature of the pot of water in °F?
Answer Choices: (A) 101°F (B) 108°F (C) 116°F (D) 122°F (E) 127°F<|im_end|>
<|im_start|>assistant
<think>
</think>
Let F and C denote the tempe... | 47,486 |
<|im_start|>user
Three fifth of the roads from A to B are at least 5 miles long, and 5/6 of the roads from B to C are at least 5 miles long. If you randomly pick a road from A to B and then randomly pick a road from B to C, what is the probability that at least one of the roads you pick is at least 5 miles long?
Answer... | 28,313 |
<|im_start|>user
The difference between the length and breadth of a rectangle is 24 m. If its perimeter is 210 m, then its area is:
Answer Choices: (A) 1520 m2 (B) 2420 m2 (C) 2480 m2 (D) 2520 m2 (E) 2600 m2<|im_end|>
<|im_start|>assistant
<think>
</think>
We have: (l - b) = 25 and 2(l + b) = 210 or (l + b) = 105
Sol... | 9,332 |
<|im_start|>user
In the Hillside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
Answer Choices: (A) 50 (B) 45. (... | 64,990 |
<|im_start|>user
The avg weight of A,B & C is 60 kg. If D joins the group, the avg weight of the group becomes 65 kg.If another man E who weights is 3 kg more than D Replaces A, Then the avgof B,C,D&E becomes 64 kg. What is the weight of A?
Answer Choices: (A) 56 (B) 65 (C) 75 (D) 89 (E) 87<|im_end|>
<|im_start|>assist... | 52,048 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A chemical change occurs when new substances are formed from existing substances. This process is called a chemical reaction.
In a chemical reaction, one or more substances change into one or more different substances. Durin... | 1,711 |
<|im_start|>user
A crate of apples contains 1 bruised apple for every 30 apples in the crate. Two out of every 4 bruised apples are considered not fit to sell, and every apple that is not fit to sell is bruised. If there are 12 apples not fit to sell in the crate, how many apples are there in the crate?
Answer Choices:... | 82,864 |
<|im_start|>user
A coach must choose five starters from a team of 12 players. How many different ways can the coach choose the starters ?
Answer Choices: (A) 237 (B) 729 (C) 277 (D) 166 (E) 181<|im_end|>
<|im_start|>assistant
<think>
</think>
Choose 5 starters from a team of 12 players. Order is not important.
12C_{5... | 51,797 |
<|im_start|>user
The LCM of two numbers is 2310 and HCF is 55. If one of the numbers is 210. Then what is the other number ?
Answer Choices: (A) 715 (B) 825 (C) 330 (D) 605 (E) 465<|im_end|>
<|im_start|>assistant
<think>
</think>
First number * Second Number = LCM * HCF
Other number = 2310 * 55 / 210 = 11*55 = 605
Th... | 51,242 |
<|im_start|>user
What is used to measure electric current?
Answer choice: (A) atomizer (B) galvanometer (C) chronometer (D) anemometer<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 2,698 |
<|im_start|>user
2y - 3x = 2xy and x ≠ 0. If x and y are integers, which of the following could equal y?
Answer Choices: (A) 2 (B) 1 (C) 0 (D) 4 (E) - 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Plug in the answer choices in the equation from the question stem.
A) y = 2 >>> 4-x = 4x >>> No value of x will sati... | 89,775 |
<|im_start|>user
How many ways are there to lay four balls, colored red, black, blue and green in a row?
Answer Choices: (A) 11 (B) 33 (C) 44 (D) 23 (E) 77<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 44,836 |
<|im_start|>user
The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:
Answer Choices: (A) 504 (B) 536 (C) 544 (D) 548 (E) 586<|im_end|>
<|im_start|>assistant
<think>
</think>
Required number = (L.C.M. of 12, 15, 20, 54) + 8
= 540 + 8
= 548.
The answer is D<|endoftext|> | 22,955 |
<|im_start|>user
Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 28 white marbles. How many red marbles could be in bag A?
Answer Choices: (A) 1 (... | 29,531 |
<|im_start|>user
is twice as fast as B. If B alone can do a piece of work in 30 days, in what time can A and B together complete the work?
Answer Choices: (A) 13 days (B) 10 days (C) 16 days (D) 11 days (E) 18 days<|im_end|>
<|im_start|>assistant
<think>
</think>
B
10 days
A can do the work in 30/2 i.e., 15 days.
A a... | 61,113 |
<|im_start|>user
Two different solutions of alcohol with respective proportions of alcohol to water of 3:1 and 2:3 were combined. What is the concentration of alcohol in the new solution if the first solution was 4 times the amount of the second solution?
Answer Choices: (A) 62 (B) 65 (C) 68 (D) 70 (E) 72<|im_end|>
<|i... | 70,547 |
<|im_start|>user
y w v t r p n
Next letter in the series
Answer Choices: (A) L (B) M (C) N (D) O (E) P<|im_end|>
<|im_start|>assistant
<think>
</think>
y--w(y-2)
v--t(v-2)
r--p(r-2)
n--l(n-2)
so ans is l
The answer is A<|endoftext|> | 87,011 |
<|im_start|>user
The distance from City A to City B is 100 miles. While driving from City A to City B, Bob drives at a constant speed of 40 miles per hour. Alice leaves City A 30 minutes after Bob. What is the minimum constant speed in miles per hour that Alice must exceed in order to arrive in City B before Bob?
Answe... | 83,557 |
<|im_start|>user
Jim drove 768 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?
Answer Choices: (A) 432 miles (B) 532 miles (C) 632 miles (D) 732 miles (E) 832 miles<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of miles to drive to finish his journey is gi... | 23,324 |
<|im_start|>user
A light has a rating of 80 watts, it is replaced with a new light that has 25% higher wattage. How many watts does the new light have?
Answer Choices: (A) 105 (B) 95 (C) 80 (D) 60 (E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
Final number = Initial number + 25%(original number) = 80 + 25%(... | 43,499 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
Imagine being told that a pencil is 16 long. You might be thinking, 16 what? Is the pencil 16 cen... | 2,895 |
<|im_start|>user
A football coach must choose 5 freshers from a team of 12players. How many different ways can the coach choose the freshers?
Answer Choices: (A) 567 (B) 687 (C) 729 (D) 790 (E) 821<|im_end|>
<|im_start|>assistant
<think>
</think>
Choose 5 starters from a team of 12 players. Order is not important.
\i... | 12,663 |
<|im_start|>user
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 18 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Answer Choices... | 79,883 |
<|im_start|>user
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Answer Choices: (A) 175 m (B) 180 m (C) 185 m (D) 170 m (E) 190 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Length of the train be ‘Xâ... | 24,879 |
<|im_start|>user
The area of a parallelogram is 147 sq m and its base is thrice the corresponding height. Then the length of the base is?
Answer Choices: (A) 14m (B) 29m (C) 49m (D) 7 (E) none<|im_end|>
<|im_start|>assistant
<think>
</think>
b*h=147 b*h=147=>b^2=49m.b=7
The answer is D<|endoftext|> | 15,011 |
<|im_start|>user
Rain is falling at a rate of 36 centimeters per hour all over Springfield. Somewhere downtown in Springfield a group of old people is waiting for the rain to stop. If the rain filled a round tank the with a base area of 150 square centimeters and a depth of 6 centimeters, how long did the people wait f... | 58,682 |
<|im_start|>user
If x is an even integer, which of the following is an odd integer?
Answer Choices: (A) 3x + 2 (B) 7x (C) 8x +5 (D) x^2 (E) x^3<|im_end|>
<|im_start|>assistant
<think>
</think>
Soln:-
A) 3x + 2
3*Even +2
= Even +Even = Even
(B) 7x
7*Even= Even
(C) 8x +5
8*Even +5
= Even +5
= Odd
(D) x^2
= Even * Even ... | 49,747 |
<|im_start|>user
If x and y are positive integers and x = 5y + 7, what is the remainder when x is divided by 5?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
This question asks what IS...(the answer), so we know that the answer will be consistent. As such, we can TEST ... | 74,742 |
<|im_start|>user
A batsman scores 26 runs and increases his average from 14 to 15. Find the runs to be made if he wants top increasing the average to 19 in the same match ?
Answer Choices: (A) 12 (B) 18 (C) 25 (D) 74 (E) 88<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of runs scored more to increase the ra... | 31,120 |
<|im_start|>user
-88*49+100=?
Answer Choices: (A) -4212 (B) 4601 (C) -4801 (D) -3471 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
=> -88*(50-1)+100;
=> -(88*50)+88+100;
=> -4400+188=-4212.
Correct Option: A
The answer is A<|endoftext|> | 12,458 |
<|im_start|>user
Find the fourth proportion to 2,3,6
Answer Choices: (A) 18 (B) 12 (C) 9 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
2:3 :: 6:x
=> 2/3 = 6/x
=> x = 18/2
=> x = 9
Option C
The answer is C<|endoftext|> | 30,624 |
<|im_start|>user
A bag of potatoes weighs 50 lbs divided by half of its weight. How much does the bag of potatoes weight?
Answer Choices: (A) 20 lb (B) 30 lb (C) 10 lb (D) 15 lb (E) 5 lb<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
50÷5 = 10.
The answer is C<|endoftext|> | 63,791 |
<|im_start|>user
A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 140 square feet and its length is 4 feet longer than its width. If the uniform width between the rug and room is 4 feet, what is the area of the region uncovered by the rug (shaded region), in square fee... | 18,255 |
<|im_start|>user
We define that K@J is the product of j number from k in increasing order for positive integers K, J. For example, 6@4=6*7*8*9. If A=2020and B=2120, what is the value R of the ratio A/B?
Answer Choices: (A) 1/2 (B) 1/3 (C) 2/3 (D) 1/4 (E) 1/5<|im_end|>
<|im_start|>assistant
<think>
</think>
R-> A/B=20... | 88,444 |
<|im_start|>user
Mangala completes a piece of work in 15 days, Raju completes the same work in 35 days. If both of them work together, then the number of days required to complete the work is
Answer Choices: (A) 6 days (B) 10 1/2 days (C) 8 1/2 days (D) 9 days (E) 11 days<|im_end|>
<|im_start|>assistant
<think>
</thin... | 43,319 |
<|im_start|>user
Five years ago, the average age of A, B, C and D was 45 years. With E Joining them now, the average of all the five is 52 years. The age of E is?
Answer Choices: (A) 45 (B) 60 (C) 48 (D) 49 (E) 46<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
5 years ago average age of A,B,C,D = 45 years
... | 71,350 |
<|im_start|>user
In how many ways can the letters of the word WAYS be arranged in a row so that the vowels appear in alphabetic order?
Answer Choices: (A) 160 (B) 220 (C) 150 (D) 120 (E) 180<|im_end|>
<|im_start|>assistant
<think>
</think>
three letters can be arranged in 1! ways.
only one combination AEI is required... | 8,807 |
<|im_start|>user
Of the teams competing in the world archery championships, Forty percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.
Answer Choices: (A) 13/20 (B) 15/20 (C) 13/15 (D) 17/20 (E) 7/17<|im_end... | 43,659 |
<|im_start|>user
What do we call an incorrect test result that should have been positive?
Answer choice: (A) false negative (B) external positive (C) false positive (D) personal negative<|im_end|>
<|im_start|>assistant
<think>
</think>
Cancer Proteomics Genomes and proteomes of patients suffering from specific diseas... | 11,381 |
<|im_start|>user
18 buckets of water fill a tank when the capacity of each bucket is 60 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 5 litres?
Answer Choices: (A) 216 (B) 200 (C) 212 (D) 220 (E) 210<|im_end|>
<|im_start|>assistant
<think>
</think>
Capacity of the ta... | 34,689 |
<|im_start|>user
Energy from sunlight enters many ecosystems through what process?
Answer choice: (A) photosynthesis (B) multiplication (C) reproduction (D) isolation<|im_end|>
<|im_start|>assistant
<think>
</think>
Ecosystems need energy. Many ecosystems get their energy in the form of sunlight, which enters the eco... | 2,348 |
<|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... | 5,670 |
<|im_start|>user
A man rows to a place 24 km distance and come back in 7 hours. He finds that he can row 2 km with the up stream in the same time as 3 km against the down stream. The rate of the stream is
Answer Choices: (A) 10/3 km/hr (B) 13/3 km/hr (C) 20/7 km/hr (D) 30/7 km/hr (E) 40/7 km/hr<|im_end|>
<|im_start|>as... | 1,738 |
<|im_start|>user
A certain music store stocks 800 cellos and 600 violas. Of these instruments, there are 70 cello-viola pairs, such that a cello and a viola were both made with wood from the same tree (each tree can make at most one viola and one cello, so there are no pairs other than these 90). If one viola and one c... | 66,605 |
<|im_start|>user
A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 160 kilometers?
Answer Choices: (A) 8 gallons (B) 4 gallons (C) 6 gallons (D) 5.5 gallons (E) 10 gallons<|im_end|>
<|im_start|>assistant
<think>
</think>
Each 40 kilometers, 1 gallon is needed. ... | 60,093 |
<|im_start|>user
The two main fundamental particles that make up neutrons are quarks and what else?
Answer choice: (A) prions (B) gluons (C) leptons (D) atoms<|im_end|>
<|im_start|>assistant
<think>
</think>
Neutrons consist of fundamental particles known as quarks and gluons. Gluons carry the strong nuclear force th... | 6,143 |
<|im_start|>user
36 identical chairs must be arranged in rows with the same number of chairs in each row. Each row must contain at least three chairs and there must be at least three rows. A row is parallel to the front of the room. How many different arrangements are possible?
Answer Choices: (A) 6 (B) 9 (C) 8 (D) 7 (... | 28,431 |
<|im_start|>user
What type of gas are stars made up of?
Answer choice: (A) water vapor (B) hydrogen (C) freon (D) calcium<|im_end|>
<|im_start|>assistant
<think>
</think>
the fact that stars are made up of very lightweight hydrogen gas.
The answer is B<|endoftext|> | 5,430 |
<|im_start|>user
What are the next two numbers in this sequence?
7, 14, 17, 21, 27, 28, 35, 37, ?
Answer Choices: (A) 40 (B) 41 (C) 42 (D) 43 (E) 44<|im_end|>
<|im_start|>assistant
<think>
</think>
these are digits which are either multiples of 7 or containing the digit 7.
s0 next numbers are 42
The answer is C<|endo... | 15,837 |
<|im_start|>user
A bag contains 50black pens and 60 white pens. One ball is drawn at random. What is the probability that the ball drawn is black?
Answer Choices: (A) 2/3 (B) 3/14 (C) 1/7 (D) 5/11 (E) 6/13<|im_end|>
<|im_start|>assistant
<think>
</think>
total number of pens = 110
number of black pens = 50
drawing a ... | 4,994 |
<|im_start|>user
A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Answer Choices: (A) 45 (B) 46 (C) 47 (D) 79.2 (E) 76<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the train be x m and its speed be y m/sec.
Then, x/y = ... | 5,907 |
<|im_start|>user
When water slows down, it starts depositing sediment, starting with which particles first?
Answer choice: (A) smallest (B) largest (C) finest (D) lightest<|im_end|>
<|im_start|>assistant
<think>
</think>
How water transports particles depends on their size. When water slows down, it starts depositing... | 1,812 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.