text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
If f(x)=2^x and x is a natural number, what CANNOT be the answer to f(x)?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 8 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
There is no possible way for a 2 raised to a natural number power to be equal to 3, so
The answer is B<|endoftext|> | 90,891 |
<|im_start|>user
One-fifth of the cost price, one-seventh of the marked price and one-sixth of the selling price are all equal. What is the gain or loss to the trader?
Answer Choices: (A) 120 % (B) 140 % (C) 162/3 % (D) 20 % (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
CP/5 = SP/6 ⇒ SP/CP = 1.2 ⇒ 20... | 75,411 |
<|im_start|>user
Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Answer Choices: (A) 288 (B) 200 (C) 279 (D) 992 (E) 208<|im_end|>
<|im_start|>assistant
<think>
</think>
(800*3*3)/100 = 72
920 + 72 = 992
The answer is D<|endoftext|> | 48,074 |
<|im_start|>user
Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/4 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?
Answer Choices: (A) 0 (B) 1/15 (C) 2/... | 30,175 |
<|im_start|>user
The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?
Answer Choices: (A) 5 (B) 7 (C) 8 (D) 9 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
A + B + C = 48
B + C + D = 45
A + D = 13
A – D = ... | 68,250 |
<|im_start|>user
Bullock likes to keep a spare tyre in his car every time. On a certain day, he travels 1, 40,000 km and just to make the most of all the tyres, he changes the tyres between his journey such that each tyre runs the same distance.
What is the distance traveled by each tyre?
Answer Choices: (A) 70,000 (B)... | 50,986 |
<|im_start|>user
ABCD is a square. E,F,G,H is the midpoint of the sides of square. J and K is the midpoint of the sides HG and FG . L is a point on sides EF such that LF= 1/3 EF. Find the ratio of area of triangle JKL to the area of square ABCD.
Answer Choices: (A) 5: 46 (B) 5: 44 (C) 4: 48 (D) 5: 48 (E) 5: 4<|im_end|>... | 38,992 |
<|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.
Alliteration is the repetition of sounds at the beginning of nearby words.
What a lucky little l... | 6,080 |
<|im_start|>user
A diagonal is a line segment that connects non-adjacent vertices in a polygon. How many diagonals does an octagon have?
Answer Choices: (A) 20 (B) 40 (C) 60 (D) 90 (E) 80<|im_end|>
<|im_start|>assistant
<think>
</think>
Select one vertex and you can draw 5 diagonals.
If you draw 5 such diagonals for ... | 8,796 |
<|im_start|>user
The number 95 can be written as the sum of the squares of 4 different positive integers in two ways. Of the following, which can be the sum of these 4 integers
Answer Choices: (A) 9 (B) 10 (C) 16 (D) 17 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
The only possible sum for 4 different squa... | 71,744 |
<|im_start|>user
At Veridux Corporation, there are 250 employees. Of these, 90 are female, and the rest are males. There are a total of 40 managers, and the rest of the employees are associates. If there are a total of 150 male associates, how many female managers are there?
Answer Choices: (A) 15 (B) 20 (C) 25 (D) 30 ... | 92,534 |
<|im_start|>user
Ram and Krishna start from A and B respectively at the same time and travel towards each other at constant speeds of 30m/m and 40 m/m respectively along the same route. Ram meets Krishna at point C on the road after 10 minutes. Find the total distance between A to B.
Answer Choices: (A) 700 meters (B) ... | 77,201 |
<|im_start|>user
What is the median from the below series
90, 92, 93, 88, 95, 88, 97, 87, and 98
Answer Choices: (A) 85 (B) 89 (C) 92 (D) 98 (E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
Ordering the data from least to greatest, we get:
87, 88, 88, 90, 92, 93, 95, 96, 98
The median score is 92.
C
The answe... | 45,796 |
<|im_start|>user
In a certain pond, 100 fish were caught, tagged, and returned to the pond. A few days later, 100 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fi... | 83,669 |
<|im_start|>user
Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Nell bake?
Answer Choices: (A) 0.125% (B) 1.25% (C) 12.5% (D) 125% (E) 0.152%<|im_end|>
<|im_start|>assistant
<think>
</think>
9.18x+5.1... | 699 |
<|im_start|>user
A bicyclist travels uphill from town A to town B for 2 hours at an average speed of 7 miles per hour and returns along the same road at an average speed of 6 miles per hour. What is the bicyclist’s average speed for the round trip, in miles per hour?
Answer Choices: (A) (a) 24/5 (B) (b) 5 (C) (c) 26... | 67,264 |
<|im_start|>user
If X represents the product of the first 15 positive integers, then X is not a
multiple of:
Answer Choices: (A) a) 99 (B) b) 84 (C) c) 72 (D) d) 57 (E) e) 67<|im_end|>
<|im_start|>assistant
<think>
</think>
a) 99 = 9*11
b) 84 = 4*7*3
c) 72 =9*11
d) 65 = 5*13
e) 57 =19*3
since 19 is not there in ... | 42,700 |
<|im_start|>user
The total age of A and B is 15 years more than the total age of B and C. C is how many year younger than
Answer Choices: (A) 14 years (B) 12 years (C) 56 years (D) 66 years (E) 15 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that A+B = 15 + B + C
=> A – C = 15 + B – B = 15
=> C is... | 7,155 |
<|im_start|>user
A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is?
Answer Choices: (A) 25/42 (B) 25/46 (C) 25/41 (D) 25/48 (E) 25/32<|im_end|>
<|im_start|>assistant
<think>
</think>
Total fruits = 9
Since there must be at least two apples,
(⁵... | 65,029 |
<|im_start|>user
If an average hard drive had a capacity of 0.1 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
Answer Choices: (A) 256 (B) 512 (C) 768 (D) 1024 (E) 1536<|im_end|>
<|im_start|>assistant
<think>
</think>
0.1*2^10=0.1*1024=102.4
T... | 12,968 |
<|im_start|>user
A can do a work in 12days. When he had worked for 3days, B joinedhim. If they complete the work in 3more days, in how manydays can Balone finish the work?
Answer Choices: (A) 3 (B) 4 (C) 6 (D) 7 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
sax Work done by Afar 3 days : i
J
.. Remzming war ... | 30,558 |
<|im_start|>user
The ages of 2 persons differ by 16 years. If 6 years ago the elder one be 3 times as old as the younger one, find the present age of younger person.
Answer Choices: (A) 10 (B) 14 (C) 20 (D) 15 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
age of the younger person = x
age of the elder perso... | 68,830 |
<|im_start|>user
2 pipes P1 and P2 together can fill a tank in 6 hrs and P3 alone can fill the tank in 10 hrs if they work together what is the time taken to fill the tank?
Answer Choices: (A) 7/4 hrs (B) 9/4 hrs (C) 13/4 hrs (D) 15/4 hrs (E) 16/4 hrs<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(P1 ... | 3,230 |
<|im_start|>user
The rings of what planet can be easily seen from earth?
Answer choice: (A) saturn (B) Venus (C) jupiter (D) Neptune<|im_end|>
<|im_start|>assistant
<think>
</think>
All of the outer planets have numerous moons. They also have planetary rings made of dust and other small particles. Only the rings of S... | 245 |
<|im_start|>user
If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm2) is?
Answer Choices: (A) 100π (B) 7π (C) 60π (D) 50π (E) 70π<|im_end|>
<|im_start|>assistant
<think>
</think>
4/3 π * 10 * 10 * 10 = 8 * 4/3 πr3
r = 5
4π * 5 * 5 = 100π
T... | 25,953 |
<|im_start|>user
1000 men have provisions for 20 days. If 200 more men join them, for how many days will the provisions last now?
Answer Choices: (A) 12.8 (B) 12.6 (C) 12.5 (D) 12.2 (E) 16.6<|im_end|>
<|im_start|>assistant
<think>
</think>
1000*20 = 1200*x
x = 16.6.
The answer is E<|endoftext|> | 31,540 |
<|im_start|>user
In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive difference W between n and m?
Answer Choices: (A) 1 (B) 3 (C) 5 (D) 7 (E) 9<|im_end|>
<|im_start|... | 94,314 |
<|im_start|>user
If p and q are both negative and pq < q^2, which of the following must be true?
Answer Choices: (A) p < q < p^2 < q^2 (B) q < p< p^2 < q^2 (C) p < q < q^2 < p^2 (D) p^2 < q^2 < q < p (E) q^2 < p^2 < q < p<|im_end|>
<|im_start|>assistant
<think>
</think>
Because pq < q^2 and both are negative, I thoug... | 17,924 |
<|im_start|>user
The product of all the prime numbers less than 40 is closest to which of the following powers of 10 ?
Answer Choices: (A) 10^9 (B) 10^8 (C) 2*10^7 (D) 10^6 (E) 10^5<|im_end|>
<|im_start|>assistant
<think>
</think>
2*3*5*7*11*13*17*19
2*19*3*17*5*13*7*11
38*51*65*77
By approximation
40*50*70*70
2... | 73,270 |
<|im_start|>user
The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
Answer Choices: (A) 7m (B) 6m (C) 5m (D) 2m (E) 4m<|im_end|>
<|im_start|>assi... | 71,579 |
<|im_start|>user
How many three letter words are formed using the letters of the word MOUSE?
Answer Choices: (A) 120 (B) 125 (C) 130 (D) 150 (E) 91<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The number of letters in the given word is five.
The number of three letter words that can be formed using t... | 64,274 |
<|im_start|>user
The instructions state that Cheryl needs 4/9 square yards of one type of material and 2/3 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 6/12 square yards left that she did not use. What is the total amount of square y... | 63,760 |
<|im_start|>user
x and y are positive integers. If xy + x is even, then which of the following must be even?
Answer Choices: (A) x (B) y (C) x + y (D) y+1 (E) x^2 − y<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that xy + x is even, which means x(y+1) is even.
Product of two nos. will be even only if both t... | 47,988 |
<|im_start|>user
70% of the employees in a multinational corporation have VCD players, 75 percent have microwave ovens, 90 percent have ACs and 85 percent have washing machines. At least what percentage of employees has all four gadgets?
Answer Choices: (A) (a) 15% (B) (b) 5% (C) (c) 10% (D) (d) 20% (E) (e) 25%<|i... | 75,234 |
<|im_start|>user
The radius of a cylinder is 2 r units and height is 3 r units. Find the curved surface?
Answer Choices: (A) 27 (B) 16 (C) 12 (D) 18 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
2 * π * 2r * 3r = 12 πr2
The answer is C<|endoftext|> | 36,065 |
<|im_start|>user
Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?
Answer Choices: (A) 2 times (B) 2 1/5 times (C) 3 times (D) 4 times (E) 5 times<|im_end|>
<|im_start|>assistant
<think>
... | 68,826 |
<|im_start|>user
The average age of 15 men of a group is 17 years. Out of these, the average age of 5 men is 14 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) 41 years (D) 14 years (E) 12 years<|im_end|>
<|im_start|>assistant
<think>
</think>
A... | 72,832 |
<|im_start|>user
Find the value of (1-(1/3))(1-(1/4))(1-(1/5))….(1-(1/100)).
Answer Choices: (A) 1/50 (B) 3/50 (C) 4/50 (D) 6/50 (E) 9/50<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 830 |
<|im_start|>user
If 5 < x < 11 and y = x + 6, what is the greatest possible integer value of x + y?
Answer Choices: (A) 25 (B) 26 (C) 27 (D) 28 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
x+y = x+x+6 = 2x+6
We need to maximize this value and it needs to be an integer.
2x is an integer when the decimal of ... | 69,124 |
<|im_start|>user
A mixture of 150 liters of wine and water contains 10% water. How much more water should be added so that water becomes 25% of the new mixture?
Answer Choices: (A) 10 (B) 30 (C) 20 (D) 15 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of liters of water in150 liters of the mixture = 1... | 34,034 |
<|im_start|>user
Raviraj invested an amount of 100000 at compound interest rate of 10 pcpa for a period of three years. How much amount will Raviraj get after three years?
Answer Choices: (A) 12,310 (B) 13,2102 (C) 13,320 (D) 13,120 (E) 133100<|im_end|>
<|im_start|>assistant
<think>
</think>
Amount = 100000(1 + 10⁄10... | 80,545 |
<|im_start|>user
A, B, C, D and E are 5 consecutive points on a straight line. If BC = 3CD, DE = 7, AB = 5 and AC = 11, what is the length of AE?
Answer Choices: (A) 18 (B) 19 (C) 20 (D) 21 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
AC = 11 and AB = 5, so BC = 6.
BC = 3CD so CD = 2.
The length of AE is A... | 44,801 |
<|im_start|>user
The air bubbles resulting from cavitation expand and block water channels of the what?
Answer choice: (A) heart (B) xylem (C) respiration (D) ectoderm<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 9,285 |
<|im_start|>user
There are 192 items that are members of set U. Of these items, 49 are members of set B, 59 are not members of either of set A or set B, and 23 are members of both sets A and B. How many of the members of set U are members of set A ?
Answer Choices: (A) 72 (B) 85 (C) 107 (D) 98 (E) 108<|im_end|>
<|im_st... | 15,605 |
<|im_start|>user
In the Hillside summer camp there are 60 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. ... | 33,125 |
<|im_start|>user
What common sea creature can be both awake and asleep at the same time?
Answer choice: (A) sharks (B) dolphins (C) Whales (D) reefs<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 7,274 |
<|im_start|>user
WINK, Inc. follows a certain procedure that requires two tasks to be finished independently in order for a job to be done. On any given day, there is a 1/8 probability that task 1 will be completed on time, and a 3/5 probability that task 2 will be completed on time. On a certain day, what is the proba... | 39,940 |
<|im_start|>user
Antibiotics can cure most infections that are caused by what?
Answer choice: (A) bacterium (B) algae (C) bacteria (D) bile<|im_end|>
<|im_start|>assistant
<think>
</think>
Health care has been improving over the most recent centuries. Vaccines were developed that could prevent many diseases ( Figure ... | 5,121 |
<|im_start|>user
X, Y, and Z are consecutive numbers and X > Y > Z. Also, 2X + 3Y + 3Z = 5Y + 8. What is the value of Z?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
If X, Y, and Z are consecutive numbers and X > Y > Z, then Y = Z+1 and X = Z+2.
2X + 3Y + 3Z = 5Y + 8
... | 77,694 |
<|im_start|>user
Van der waals forces are weak interactions between molecules that involve what?
Answer choice: (A) atoms (B) particles (C) dipoles (D) photons<|im_end|>
<|im_start|>assistant
<think>
</think>
Van der Waals forces are weak interactions between molecules that involve dipoles.
The answer is C<|endoftext... | 10,046 |
<|im_start|>user
What waves do radio and television use?
Answer choice: (A) sound waves (B) radio waves (C) light waves (D) gamma waves<|im_end|>
<|im_start|>assistant
<think>
</think>
Radio waves are electromagnetic waves with the longest wavelengths, lowest frequencies, and least amount of energy. They are used for... | 8,868 |
<|im_start|>user
In a bag there are a certain number of blue balls and white balls. The probability of picking up exactly 1 white ball when 2 balls are randomly drawn, is 1/2. Which of the following is the ratio of the number of blue balls to white balls in the bag
Answer Choices: (A) 1:1 (B) 1:2 (C) 1:5 (D) 1:4 (E) 1:... | 74,600 |
<|im_start|>user
The speed of a car is 120 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Answer Choices: (A) 89 kmph (B) 92 kmph (C) 90 kmph (D) 65 kmph (E) 77 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
S = (120 + 60)/2 = 90 kmph
C
The answer is C<|endoftext|> | 55,909 |
<|im_start|>user
The diversity of life on earth today is the result of what?
Answer choice: (A) spontaneous mutation (B) generation (C) mass extinction (D) evolution<|im_end|>
<|im_start|>assistant
<think>
</think>
The diversity of life on Earth today is the result of evolution. Life began on Earth at least 3.5 to 4 ... | 7,777 |
<|im_start|>user
A contractor undertakes to do a job within 100 days and hires 10 people to do it. After 20 days, he realizes that one fourth of the work is done so he fires 2 people. In how many more days W will the work get over?
Answer Choices: (A) 60 (B) W=70 (C) W=75 (D) W=80 (E) W=100<|im_end|>
<|im_start|>assist... | 69,453 |
<|im_start|>user
A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Answer Choices: (A) Rs.3948 (B) Rs.3929 (C) Rs.3927 (D) Rs.3900 (E... | 42,318 |
<|im_start|>user
In a certain sequence, the first term is 1, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?
Answer Choices: (A) 13/8 (B) 21/13 (C) 8/5 (D) 5/8 (E) 8/13<|im_end|>
<|im_start|>assistant
<think>
</think>
let five t... | 56,921 |
<|im_start|>user
Pipes A and B can fill a tank in 3 and 5 hours. Pipe C can empty it in 12 hours. If all pipes are opened together, then the tank will be filled in?
Answer Choices: (A) 60/17 hr (B) 12/19 hr (C) 20/9 hr (D) 9/20 hr (E) 63/19 hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Net part filled in 1 hour... | 68,759 |
<|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... | 1,724 |
<|im_start|>user
One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
Answer Choices: (A) 3/13 (B) 3/12 (C) 3/11 (D) 3/12 (E) 3/18<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Clearly, there are 52 cards, out of w... | 72,720 |
<|im_start|>user
A shopkeeper bought 600 oranges and 400 bananas. He found 15% of oranges and 6% of bananas were rotten. Find the percentage of fruits in good condition?
Answer Choices: (A) 92.5% (B) 88.6% (C) 85.2% (D) 96.8% (E) 78.9%<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of fruits shopkeeper... | 32,632 |
<|im_start|>user
The average weight of 8 persons increases by 3 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?
Answer Choices: (A) 75 kg (B) 65 kg (C) 55 kg (D) 89 kg (E) 25 kg<|im_end|>
<|im_start|>assistant
<think>
</think>
Total weight increased = (8... | 23,478 |
<|im_start|>user
If it takes a machine 1⁄3 minute to produce one item, how many items will it produce in 2 hours?
Answer Choices: (A) 1⁄3 (B) 4⁄3 (C) 80 (D) 120 (E) 360<|im_end|>
<|im_start|>assistant
<think>
</think>
1 item takes 1/3 min so it takes 120 min to produce x
x/3=120 the x=360
The answer is E<|endoftext|> | 68,384 |
<|im_start|>user
What consists of all the biotic and abiotic factors in an area and their interactions?
Answer choice: (A) ecosystem (B) habitat (C) macroevolution (D) community<|im_end|>
<|im_start|>assistant
<think>
</think>
An ecosystem consists of all the biotic and abiotic factors in an area and their interactio... | 9,686 |
<|im_start|>user
A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Answer Choices: (A) 150 (B) 78 (C) 268 (D) 268 (E) 298<|im_end|>
<|im_start|>assistant
<think>
</think>
Length of the train be ‘X’
X + 150/15 = X + 250/20
4... | 49,588 |
<|im_start|>user
Where do most skin structures originate in?
Answer choice: (A) dermis (B) epidermis (C) cuticle (D) hypodermis<|im_end|>
<|im_start|>assistant
<think>
</think>
Layers of Human Skin. The outer layer of the skin is the epidermis, and the inner layer is the dermis. Most skin structures originate in the ... | 3,234 |
<|im_start|>user
What is defined as the rate of energy transferred?
Answer choice: (A) power (B) charge (C) capacity (D) pressure<|im_end|>
<|im_start|>assistant
<think>
</think>
gravitational potential energy. Making Connections: Power Power is defined as the rate of energy transferred, or E / t . Fluid flow involve... | 4,903 |
<|im_start|>user
the average distance between the sun and a certain planet is approximatly 2.1 10^15 inches. which of the following is the closest to the average distence between sun and the planet in kelometers? (1 km is approx 3.9 x 10^4 inches)
Answer Choices: (A) 6.4 x(10) ^10 (B) 5.4 x(10) ^10 (C) 7.4 x(10) ^10 (D... | 1,653 |
<|im_start|>user
Three pipes of same capacity can fill a tank in 12 hours. If there are only two pipes of same capacity, the tank can be filled in?
Answer Choices: (A) 18 (B) 8 (C) 12 (D) 6 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
The part of the tank filled by three pipes in one hour
= 1/12
=> The part... | 67,402 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Matter is made of very small particles called atoms. Atoms can be linked together by chemical bonds. When two or more atoms link together, they form a molecule.
In a chemical change, the chemical bonds in the molecules break... | 5,983 |
<|im_start|>user
What type of map would show average temperatures and rainfall?
Answer choice: (A) climate map (B) landscape map (C) rainfall map (D) carbon map<|im_end|>
<|im_start|>assistant
<think>
</think>
Climate maps show average temperatures and rainfall.
The answer is A<|endoftext|> | 4,282 |
<|im_start|>user
John has Rs 360 for his expenses. If he exceeds his days by 4 days he must cut down daily expenses by Rs 3. The number of days of John 's tour program is
Answer Choices: (A) 10 (B) 15 (C) 20 (D) 24 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
Let John under takes a tour of x
days.
Then, ex... | 7,871 |
<|im_start|>user
A man in a train notices that he can count 41 telephone posts in one minute. If they are known to be
50 metres apart, then at what speed is the train travelling?
Answer Choices: (A) 60 km/hr (B) 100 km/hr (C) 110 km/hr (D) 120 km/hr (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
E... | 2,517 |
<|im_start|>user
A train ride from Town P to Town Q costs $6.85 more than does a bus ride from Town P to Town Q. Together, the cost of one train ride and one bus ride is $9.45. What is the cost of a bus ride from Town P to Town Q?
Answer Choices: (A) $1.30 (B) $2.50 (C) $4.10 (D) $4.70 (E) $8.20<|im_end|>
<|im_start|>a... | 66,550 |
<|im_start|>user
6 workers should finish a job in 8 days. After 3 days came 4 workers join them. How many days D do they need to finish the same job?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Let Rate of one worker be R
=> (6*R)*8 = 1 (Rate * Time = work)
=> R = 1/... | 84,433 |
<|im_start|>user
Walking with 4/5 of my usual speed, I miss the bus by 6 minutes. What is my usual time?
Answer Choices: (A) 16 min (B) 26 min (C) 34 min (D) 24 min (E) 12 min<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed Ratio = 1:4/5 = 5:4Time Ratio
= 4:5 1 -------- 6 4 --------- ? è 24
The answer is D<|en... | 55,757 |
<|im_start|>user
The speed of a boat in upstream is 30 kmph and the speed of the boat downstream is 50 kmph. Find the speed of the boat in still water and the speed of the stream?
Answer Choices: (A) 40,10 kmph (B) 38,10 kmph (C) 40,70 kmph (D) 78,10 kmph (E) 70,12 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>... | 49,524 |
<|im_start|>user
A rope of which a calf is tied is increased from 12 m to 21 m, how much additional grassy ground shall it graze?
Answer Choices: (A) 933.4 (B) 1219 (C) 1210 (D) 1212 (E) 1312<|im_end|>
<|im_start|>assistant
<think>
</think>
π (212 – 122) = 933.4
The answer is A<|endoftext|> | 70,839 |
<|im_start|>user
The average age of a group of persons going for picnic is 16 years. Twelve new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. The number of persons initially going for picnic is
Answer Choices: (A) 5 (B) 10 (C) 12 (D) 40 (E) 50<|im_... | 10,076 |
<|im_start|>user
At Veridux Corporation, there are 180 employees. Of these, 90 are female, and the rest are males. There are a total of 40 managers, and the rest of the employees are associates. If there are a total of 135 male associates, how many female managers are there?
Answer Choices: (A) 95 (B) 20 (C) 85 (D) 75 ... | 77,141 |
<|im_start|>user
A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68% of the distribution lies one standard deviation f of the mean, what percent of the distribution is less than m+f?
Answer Choices: (A) 16% (B) 32% (C) 48% (D) 84% (E) 92%<|im_end|>
<|im_star... | 32,005 |
<|im_start|>user
A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 26000, then the share of A is?
Answer Choices: (A) s.14028 (B) s.14000 (C) s.14003 (D) s.14029 (E) s.24029<|im_end|>
<|im_start|>assistant
<think>
</thin... | 56,843 |
<|im_start|>user
The concentration of spirit in three different vessels A, B and C are 45%, 30% and 12% respectively. If 4 litres from vessel A, 5 litres from vessel B and 6 litres from vessel C are mixed, find the concentration of spirit in the resultant solution.
Answer Choices: (A) 32.80% (B) 26.80% (C) 34% (D) 24.6... | 5,562 |
<|im_start|>user
How many different groups of 3 people can be formed from a group of 5 people?
Answer Choices: (A) 5 (B) 6 (C) 8 (D) 9 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Choosing 3 distinct objects out of 5 when order of the selection is not important 3C5=5!/(3!(5−3)!)=10 .
The answer is E<|endof... | 17,687 |
<|im_start|>user
50 square stone slabs of equal size were needed to cover a floor area of 98 sq.m. Find the length of each stone slab?
Answer Choices: (A) 140cm (B) 767cm (C) 88cm (D) 666cm (E) 776cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of each slab
=98/50m2=1.96m2
Length of each slab √1.96=1.4m=140c... | 27,305 |
<|im_start|>user
A certain team has 15 members, including Joey. A three-member relay team will be selected as follows: one of the 15 members is to be chosen at random to run first, one of the remaining 14 members is to be chosen at random to run second, and one of the remaining 13 members is to be chosen at random to r... | 39,150 |
<|im_start|>user
14 different biology books and 8 different chemistry books lie on a shelf. In how many ways can a student pick 2 books of each type?
Answer Choices: (A) 80 (B) 160 (C) 720 (D) 1100 (E) 2548<|im_end|>
<|im_start|>assistant
<think>
</think>
No. of ways of picking 2 biology books(from 14 books) = 14c2 =... | 21,599 |
<|im_start|>user
The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Answer Choices: (A) 22 kmph (B) 40 kmph (C) 78 kmph (D) 15 kmph (E) 23 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream = 60 + 20 = 80 kmph
Speed upstream... | 66,004 |
<|im_start|>user
A toy store’s gross profit on a computer game was 10 percent of the cost of the game. If the store increased the selling price of the game from $44 to $46 and the cost of the game remained the same, then the store’s gross profit on the game after the price increase was what percent of the cost of the g... | 62,440 |
<|im_start|>user
The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability T that exactly two visitors will buy a pack of candy?
Answer Choices: (A) 0.343 (B) 0.147 (C) 0.189 (D) 0.063 (E) 0.027<|im_end|>
<|im_start|>assistant
<think>
</th... | 66,682 |
<|im_start|>user
90, 180, 12, 50, 100, 80, ?, 3, 20, 4, 25, 2, 6, 30, 3
Answer Choices: (A) 100 (B) 150 (C) 180 (D) 90 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
30*3=90
6*30=180
6*2=12
25*2=50
4*25=100
20*4=80
3*20=60 ans is 60
The answer is E<|endoftext|> | 66,636 |
<|im_start|>user
Chauncy, an English bulldog, received 1200 votes in the Mr. Bulldog USA competition, giving him approximately 30 percent of the vote. Approximately what percent of the remaining votes would he have needed to receive in order to win 70 percent of the total votes?
Answer Choices: (A) 56.14% (B) 57.14% (C... | 26,579 |
<|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... | 1,320 |
<|im_start|>user
The vas deferens and ejaculatory ducts transport sperm from the epididymes to the urethra in what system?
Answer choice: (A) male reproductive system (B) famous reproductive system (C) digestive system (D) cardiovascular system<|im_end|>
<|im_start|>assistant
<think>
</think>
In addition to these org... | 11,345 |
<|im_start|>user
A tank has 5 inlet pipes. Three pipes are narrow and two are wide. Each of the three narrow pipes works at 1/2 the rate of each of the wide pipes. All the pipes working together will take what fraction K of time taken by the two wide pipes working together to fill the tank?
Answer Choices: (A) 1/2 (B)... | 79,643 |
<|im_start|>user
Harkamal purchased 8kg of grapes at the rate of 75 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) 1000 (B) B) 1055 (C) C) 1065 (D) D) 1075 (E) E) 1095<|im_end|>
<|im_start|>assistant
<think>
</think>
Cost of 8 kg grapes = 75 ×... | 8,656 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Words change in meaning when speakers begin using them in new ways. For example, the word peruse once only meant to examine in detail, but it's now also commonly used to mean to look through in a casual manner.
When a word c... | 2,796 |
<|im_start|>user
In a School, 93 percent of students like vegetarian, 95 percent of students like Non-veg, 89 percent likes fast food and 91 percent likes Chines food.
Can you find out the percentage of students who like all 4 food variety?
Answer Choices: (A) 50% (B) 65% (C) 75% (D) 88% (E) 68%<|im_end|>
<|im_start|>a... | 39,101 |
<|im_start|>user
The total cars in a Garage is 1000 out of which 500 are made by Honda. Out of every 100 Honda cars, 90 are red in color, but only 50% of the total cars is red. Find the % of non-Honda cars that are red
Answer Choices: (A) 10% (B) 20% (C) 30% (D) 25% (E) 15%<|im_end|>
<|im_start|>assistant
<think>
</th... | 3,354 |
<|im_start|>user
In a renowned city, the average birth rate is 4 people every two seconds and the death rate is 3 people every two seconds. Estimate the size of the population net increase that occurs in one day.
Answer Choices: (A) 43,100 (B) 43,200 (C) 43,300 (D) 43,400 (E) 43,450<|im_end|>
<|im_start|>assistant... | 24,571 |
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