text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
A certain clock marks every hour by striking a number of times equal to the hour, and the time require for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds. At 8:00, how many seco... | 24,134 |
<|im_start|>user
Sravan and Bhavan began business with Rs.16000 and Rs.20000 after 8 months, Sravan advances Rs.4000 more and Bhavan withdraws Rs.4000. At the end of two years, their profits amounted to Rs.5535 find the share of Sravan.
Answer Choices: (A) 2850 (B) 2870 (C) 3000 (D) 2800 (E) 2825<|im_end|>
<|im_start|>... | 20,468 |
<|im_start|>user
consider the sequence 1,-2,3,-4,5,6.....what is the average of the first 200 terms of the sequence?
Answer Choices: (A) -1/2 (B) -3/2 (C) 0 (D) 1/2 (E) 3/2<|im_end|>
<|im_start|>assistant
<think>
</think>
suppose n=2 => avg is (1+-2)/2= -1/2, when n=4 => avg is -1/2 , similarly for n=200 avg will be ... | 468 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A simple sentence is a sentence with only one subject and predicate.
The pitcher threw the ball to first base.
A compound sentence is two simple sentences joined by a comma and a conjunction such as and, but, or, or so.
The ... | 5,329 |
<|im_start|>user
If A= {2, 4, 6}, B= {1, 2, 5, 7}, and C= {2, 3, 4, 6}. Find A-(B U C)
Answer Choices: (A) {1 , 2} (B) {2 ,3 ,5 } (C) { } (D) {5 } (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
A= {2, 4, 6},
B= {1, 2, 5, 7},
C = {2, 3, 4, 6}
Now,(B U C) = {1, 2, 5, 7} U {2, 3, 4, 6} ... | 4,290 |
<|im_start|>user
Each of the 42 points is placed either inside or on the surface of a perfect sphere. If 65% or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere?
Answer Choices: (A) 7 (B) 11 (C) 13 (D)... | 37,270 |
<|im_start|>user
City A and City B are 140 miles apart. Train C departs City A, heading towards City B, at 4:00 and travels at 40 miles per hour. Train D departs City B, heading towards City A, at 5:00 and travels at 20 miles per hour. The trains travel on parallel tracks. At what time do the two trains meet?
Answer Ch... | 83,061 |
<|im_start|>user
Find the natural number nearest to 9217 which completely divides 88 without giving any remainder.
Answer Choices: (A) 9240 (B) 9064 (C) 9184 (D) 9152 (E) 9169<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
These types of questions are to be solved by trial and error. Make sure minimum ... | 10,163 |
<|im_start|>user
Each factor of 210 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 40?
Answer Choices: (A) 1/16 (B) 5/42 (C) 1/8 (D) 3/16 (E) 1/4<|im_end|>
<|im_start|>assi... | 74,880 |
<|im_start|>user
How many different ways can 2 students be seated in a row of 4 desks, so that there is always at least one empty desk between the students?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 6 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Total cases : 12 ( student one has 4 options and student two has ... | 95,979 |
<|im_start|>user
Which of the following inequalities has a solution set, when graphed on the number line, is a single line segment of finite length?
Answer Choices: (A) 2 <= 3x+4 <= 6 (B) 3 <= 3x+4 <= 6 (C) 5 <= 3x+4 <= 6 (D) 5 <= 3x+4 <= 6 (E) 4 <= 3x+4 <= 6<|im_end|>
<|im_start|>assistant
<think>
</think>
The key w... | 8,434 |
<|im_start|>user
What happens to the mass number during a nuclear decay process by positron emission?
Answer choice: (A) remains unchanged (B) it rises (C) it decreases (D) it increases<|im_end|>
<|im_start|>assistant
<think>
</think>
During a nuclear decay process that occurs by positron emission, a proton is conver... | 6,575 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
There are four kinds of sentences.
A declarative sentence is a statement. It tells about something. A declarative sentence always ends with a period.
I have an older brother and a younger sister.
An interrogative sentence is... | 124 |
<|im_start|>user
There are 5 locks and 5 keys and each of the 5 keys matches each of the 5 locks. What is the minimum and the maximum trial numbers of attempts R needed to confirm that each of the 5 keys matches each of the 5 locks?
Answer Choices: (A) 5,15 (B) 4,15 (C) 5,10 (D) 4,10 (E) 5,20<|im_end|>
<|im_start|>assi... | 23,330 |
<|im_start|>user
There are 7 stores in town that had a total of 21 visitors on a particular day. However, only 11 people went shopping that day; some people visited more than one store. If 7 people visited exactly two stores each, and everyone visited at least one store, what is the largest number of stores anyone coul... | 7,957 |
<|im_start|>user
Some of the 50% solution of acid was removed and this was replaced with an equal amount of 30% solution of acid. As a result, a 40% solution of acid was obtained. What fraction of the original solution was replaced?
Answer Choices: (A) 1/2 (B) 1/3 (C) 2/3 (D) 1/4 (E) 2/5<|im_end|>
<|im_start|>assistant... | 56,307 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A strong argument uses valid reasoning and logic in support of a claim. When an argument or claim introduces irrelevant information or misrepresents the issues at hand, it may be committing a logical fallacy. Logical fallaci... | 2,111 |
<|im_start|>user
A train covers a distance of 100km in 1 hour. If its speed is decreased by 25km/hr, the time taken by the car to cover the same distance will be?
Answer Choices: (A) 1hr (B) 1hr 20min (C) 50min (D) 1hr 30min (E) 1hr 45min<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 100/1 = 100km/hr
New s... | 35,744 |
<|im_start|>user
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 37380
. What percentage of profit did he make?
Answer Choices: (A) 80% (B) 68% (C) 40% (D) 70% (E) 90%<|im_end|>
<|im_start|>assistant
<think>
</think>
The total CP = Rs. 16000 + Rs. 6250
... | 7,919 |
<|im_start|>user
The length of a rectangle i s two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Answer Choices: (A) 140 sq.units (B) 149 (C) 148 (... | 4,505 |
<|im_start|>user
Dana borrows 6000 pounds annually for her college education. If Dana gives her parents 2% of that amount back each month, how much will she still owe her parents after three years of college?
Answer Choices: (A) 13680 (B) 13885 (C) 14005 (D) 14280 (E) 14680<|im_end|>
<|im_start|>assistant
<think>
</th... | 5,599 |
<|im_start|>user
There are a series of rules for naming branched alkanes (and, ultimately, for all organic compounds). these rules make up the system of nomenclature for naming what?
Answer choice: (A) non-organic molecules (B) typical molecules (C) organic molecules (D) oxygen molecules<|im_end|>
<|im_start|>assistant... | 4,396 |
<|im_start|>user
Positive integer e is divisible by 3. What is the remainder of dividing (4+2e)-e(1+1) by 3?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
When we solve the following equations: 10-6 (e=3) or 22-18 (e=9) we end up with 4. Since 4 divided by 3 leaves a r... | 51,694 |
<|im_start|>user
5216 x 51 = ?
Answer Choices: (A) 212016 (B) 266016 (C) 266436 (D) 216314 (E) 216318<|im_end|>
<|im_start|>assistant
<think>
</think>
Normal way of multiplication may take time. Here are one alternative.
5216 x 51 = (5216 x 50) + 5216 = (5216 x 100)/2 + 5216
= 521600/2 + 5216 = 260800 + 5216 = 266016... | 17,894 |
<|im_start|>user
he total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
Answer Choices: (A) 55 (B) 65 (C) 75 (D) 85 (E) 95<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 22,894 |
<|im_start|>user
If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then y must be
Answer Choices: (A) 2 (B) 5 (C) 6 (D) 7 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
3150*y = A^2
3 * 1050 * y = A^2
3*5*210*y = A^2
3*5*7*3*2*5*y = A^2
2*3^2*5^2*7*y = A^2
Con... | 47,534 |
<|im_start|>user
The ratio of boarders to day students at a school was originally 5 to 12. However, after a number of new boarders join the initial 220 boarders, the ratio changed to 1 to 2. If no boarders became day students and vice versa, and no students left the school, how many new boarders joined the school?
Answ... | 13,130 |
<|im_start|>user
The sum of two prime numbers is 85. What is the product of these two prime
numbers?
Answer Choices: (A) 85 (B) 91 (C) 115 (D) 133 (E) 166<|im_end|>
<|im_start|>assistant
<think>
</think>
Since there is only one even prime number (2), and the sum of two odd numbers is
even, the product of these two nu... | 4,132 |
<|im_start|>user
A group of people were given 2 puzzles. 71% people solved puzzle X and 89% people solved puzzle Y. What is the maximum and minimum percentage of people who could have solved both the puzzles?
Answer Choices: (A) 71%, 60% (B) 49%, 33% (C) 68%, 57% (D) 79%, 68% (E) 89%, 79%<|im_end|>
<|im_start|>assi... | 79,784 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A fact is something that can be proved to be true.
The month of July has more days than the month of June.
This is a fact. It can be proved by looking at a calendar and counting the number of days in each month.
An opinion i... | 1,312 |
<|im_start|>user
The girl child birth in a town is 40% of boy child birth. What is the number of boy child as a percentage of girl child birth?
Answer Choices: (A) 150% (B) 250% (C) 125% (D) 35% (E) 65%<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of girl child birth in a town is 40% of boy child birth... | 56,969 |
<|im_start|>user
Narendra started a business, investing 30000. Six months later, Chandan joined him with 15000. If they make a profit of 15000 at the end of the year, what should be the share of Narendra?
Answer Choices: (A) A) Rs.7000 (B) B) Rs.12000 (C) C) Rs.8500 (D) D) Rs.8600 (E) E) Rs.8700<|im_end|>
<|im_start|>a... | 27,751 |
<|im_start|>user
A and B are two partially filled buckets of water. If 5 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 4 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of wate... | 5,542 |
<|im_start|>user
A and B starts a business with Rs.8000 each, and after 7 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Answer Choices: (A) 36:25 (B) 18:25 (C) 36:10 (D) 18:14 (E) 14:11<|im_end|>
<|im_start|>assistant
<think>
</think>
A invests Rs.8000 for 18... | 81,482 |
<|im_start|>user
There are 54 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?
Answer Choices: (A) 1) 4 (B) 2) 7 (C) 3) 17 (D) 4) 21 (... | 21,462 |
<|im_start|>user
Two dice are rolled. What is the probability the sum will be greater than 11?
Answer Choices: (A) 1/9. (B) 1/12. (C) 1/36. (D) 1/6. (E) 1/5.<|im_end|>
<|im_start|>assistant
<think>
</think>
Combinations possible: (6,6) = 1
Total combinations possible: 6*6=36
The answer is C<|endoftext|> | 75,620 |
<|im_start|>user
Aging occurs as cells lose their ability to do what?
Answer choice: (A) fold (B) split (C) divide (D) duplicate<|im_end|>
<|im_start|>assistant
<think>
</think>
Aging occurs as cells lose their ability to divide.
The answer is C<|endoftext|> | 10,140 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A fact is something that can be proved to be true. Facts can be proved by observing, measuring, or studying information.
The flag of the United States has 13 stripes.
This is a fact. It can be proved by looking at the flag a... | 6,151 |
<|im_start|>user
Mary passed a certain gas station on a highway while traveling west at a constant speed of 50 miles per hour. Then, 15 minutes later, Paul passed the same gas station while traveling west at a constant speed of 60 miles per hour. If both drivers maintained their speeds and both remained on the highway ... | 7,741 |
<|im_start|>user
189. The inside dimensions of a rectangular wooden box
are 2 inches by 4 inches by 6 inches. A cylindrical
canister is to be placed inside the box so that it stands
upright when the closed box rests on one of its six
faces. Of all such canisters that could be used, what is
the radius, in inches, of the... | 95,231 |
<|im_start|>user
Average of five numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 numbers?
Answer Choices: (A) -33 (B) 34 (C) -34 (D) 35 (E) 33<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the five numbers be a, b, c, d, e. Then their average is (a+b+c+d+e5)=10.(a+b... | 49,687 |
<|im_start|>user
John was thrice as old as Tom 6 years ago. John will be 3/2 times as old as Tom in 6 years. How old is Tom today?
Answer Choices: (A) 6 (B) 8 (C) 10 (D) 12 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
J-6 = 3(T-6), so J = 3T-12
J+6 = 3/2 * (T+6)
2J + 12 = 3T + 18
2(3T-12) + 12 = 3T + 18
3T... | 4,950 |
<|im_start|>user
Tickets numbered from 1 to 22 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bears a number which is a multiple of 3?
Answer Choices: (A) 1/5 (B) 2/5 (C) 3/10 (D) 3/7 (E) 7/22<|im_end|>
<|im_start|>assistant
<think>
</think>
Here, S = [1, 2, 3, 4, …... | 19,846 |
<|im_start|>user
A certain computer manufacturing firm last year produced 82 percent of its computers using parts made by its subsidiary company. If the remaining 10,890 computers were produced using parts purchased from another parts manufacturer, how many computers were produced by the computer manufacturing firm alt... | 18,356 |
<|im_start|>user
A rectangular floor that measures 24 meters by 64 meters is to be covered with carpet squares that each measure 8 meters by 8 meters. If the carpet squares cost $24 apiece, what is the total cost for the number of carpet squares needed to cover the floor?
Answer Choices: (A) $200 (B) $576 (C) $480 (... | 78,028 |
<|im_start|>user
The peripheral nervous system has major nerves that travel through every part of the body except which two places?
Answer choice: (A) muscles and brain (B) brain and spinal cord (C) lungs and spinal cord (D) brain and heart<|im_end|>
<|im_start|>assistant
<think>
</think>
All the other nervous tissue... | 1,710 |
<|im_start|>user
Unlike pure substances, mixtures have a what?
Answer choice: (A) efficient composition (B) unique composition (C) variable composition (D) complex composition<|im_end|>
<|im_start|>assistant
<think>
</think>
When two or more pure substances are combined together, a mixture is formed. Unlike pure subs... | 9,438 |
<|im_start|>user
r=2^(n+1), then in terms of r, 9^n=
Answer Choices: (A) r^2/81 (B) r^2/9 (C) r^2/4 (D) r/3 (E) r<|im_end|>
<|im_start|>assistant
<think>
</think>
Questions in terms of variables can be easily solved by plugging in some values: Say n = 0
r = 2^1 = 2
and you need the value of 2^n which is 2^0 = 1
So wh... | 1,643 |
<|im_start|>user
A town consists of only one street in the form of a circle. The town authorities give out four licenses for a particular kind of business. The inhabitants of the town live in equal density along the circle and will always go to the closest business for what they need. Business A gets to choose a locati... | 36,577 |
<|im_start|>user
What do you call the gently sloped ocean floor nearest the edges of continents?
Answer choice: (A) continental divide (B) continental shelf (C) continental stratosphere (D) continental solution<|im_end|>
<|im_start|>assistant
<think>
</think>
The continental shelf is the ocean floor nearest the edges... | 7,857 |
<|im_start|>user
David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 14 family members in a row for the picture?
Answer Choices: (A) 12! (B) 13×12! (C) 12×1... | 42,551 |
<|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... | 4,846 |
<|im_start|>user
Divide Rs. 1800 among A, B and C so that A receives 2/5 as much as B and C together and B receives 1/5 as A and C together. A's share is?
Answer Choices: (A) 400 (B) 500 (C) 375 (D) 450 (E) 600<|im_end|>
<|im_start|>assistant
<think>
</think>
A+B+C = 1800
A = 2/5(B+C); B = 1/5(A+C)
A/(B+C) = 2/5
A = ... | 73,004 |
<|im_start|>user
What can be thought of as the capacity a device has for storing charge?
Answer choice: (A) capacitance (B) potential (C) velocity (D) resonance<|im_end|>
<|im_start|>assistant
<think>
</think>
The amount of charge, , held by each plate is given by where again is the voltage difference between the pla... | 1,682 |
<|im_start|>user
The average of first 12 natural numbers is?
Answer Choices: (A) 5.2 (B) 6.5 (C) 5.3 (D) 5.9 (E) 5.1<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of 12 natural no. = 156/2 = 78
Average = 78/12 = 6.5
The answer is B<|endoftext|> | 47,849 |
<|im_start|>user
8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. How long would it take for 6 such machines to perform the same job?
Answer Choices: (A) 2.25 hours (B) 8 hours (C) 12 hours (D) 14.25 hours (E) 16 hours<|im_end|>
<|im_start|>assistant
<think>
</think>... | 56,392 |
<|im_start|>user
50% of a number is added to 120, the result is the same number. Find the number?
Answer Choices: (A) 300 (B) 277 (C) 240 (D) 99 (E) 121<|im_end|>
<|im_start|>assistant
<think>
</think>
:
(50/100) * X + 120 = X
2X = 480
X = 240
The answer is C<|endoftext|> | 44,573 |
<|im_start|>user
Rohit spends 40 % of his salary on food, 20% on house rent,10% on entertainment and 10% on conveyance. If his savings at the end of the month are Rs. 1500, Then his monthly salary is:
Answer Choices: (A) Rs.6000 (B) Rs. 7500 (C) Rs. 8000 (D) Rs. 9,000 (E) Rs. 10,000<|im_end|>
<|im_start|>assistant
<thi... | 95,467 |
<|im_start|>user
A car during its journey travels 30 minutes at a speed of 30 kmph, another 30 minutes at a speed of 60 kmph, and 1 hours at a speed of 80 kmph.The average speed of the car is
Answer Choices: (A) 63.07 kmph (B) 64 kmph (C) 62.5 kmph (D) 64.02 kmph (E) None of these<|im_end|>
<|im_start|>assistant
<think... | 39,544 |
<|im_start|>user
Find the area of a cuboid of length 12cm , breadth 6 cm . and height 10cm.
Answer Choices: (A) 400 cm cube (B) 410 cm cube (C) 720 cm cube (D) 730 cm cube (E) 480 cm cube<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of a cuboid = lxbxh =12cm x 6cm x 10cm = 720 cm cube
The answer is C<|endoft... | 78,822 |
<|im_start|>user
How much time will it take for an amount of 1000 to yield 100 as interest at 5% per annum of simple interest?
Answer Choices: (A) 3 years (B) 4 years (C) 2 years (D) 5 years (E) 7 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Time = (100 x 100)/(1000 x 5) years = 2 years.
The answer is C<|en... | 38,150 |
<|im_start|>user
What is the mechanism that accounts for the drifting of continents?
Answer choice: (A) seafloor spreading (B) ridges spreading (C) earth spreading (D) volcanic spreading<|im_end|>
<|im_start|>assistant
<think>
</think>
Seafloor spreading is the mechanism for the drifting continents.
The answer is A<|... | 8,364 |
<|im_start|>user
A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
Answer Choices: (A) 6% (B) 7% (C) 8% (D) 4% (E) 1%<|im_end|>
<|im_start|>assistant
<think>
</think>
SP of first article = 10... | 20,823 |
<|im_start|>user
A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped three times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 6?
Answer Choices: (A) 3/8 (B) 1/16 (C) 1/8 (D) 1/2 (E) 0<|im_end|... | 6,705 |
<|im_start|>user
The average weight of 8 person's increases by 2.5 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) 80 (B) 82 (C) 85 (D) 87 (E) 88<|im_end|>
<|im_start|>assistant
<think>
</think>
Total weight increased = (8 x 2.5) kg = ... | 77,308 |
<|im_start|>user
How many shots of 1cm radius can be prepared from a sphere of 4cm radius?
Answer Choices: (A) 33 (B) 88 (C) 27 (D) 64 (E) 99<|im_end|>
<|im_start|>assistant
<think>
</think>
4/3 π * 4 * 4 * 4 = 4/3 π * 1 * 1 * 1 * x
x = 64
The answer is D<|endoftext|> | 87,983 |
<|im_start|>user
Select the non termination decimal among the following.
Answer Choices: (A) 11/3 (B) 3/4 (C) 4/5 (D) 7/8 (E) 9/10<|im_end|>
<|im_start|>assistant
<think>
</think>
A. Non terminating decimal me
The answer is A<|endoftext|> | 1,734 |
<|im_start|>user
The H.C.F of two numbers is 12 and their L.C.M is 6600. If one of the numbers is 288, then the other is?
Answer Choices: (A) 255 (B) 260 (C) 265 (D) 270 (E) 275<|im_end|>
<|im_start|>assistant
<think>
</think>
Other number = (12 * 6600)/288
= 275.
The answer is E<|endoftext|> | 86,368 |
<|im_start|>user
A bowl was filled with 10 ounces of water, and 0.010 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period?
Answer Choices: (A) 0.004% (B) 0.04% (C) 0.40% (D) 5% (E) 40%<|im_end|>
<|im_start|>assistant
<think>
</think>... | 30,207 |
<|im_start|>user
A credit card company has a cash back option for their customers which is based on the annual amount that they charge on their credit cards. The customer receives 1.5% cash on their first $5000 of purchase, 2.5% on the next $5000 of purchase and a 3% on cash back on portion that exceeds $10,000. If a c... | 36,446 |
<|im_start|>user
In a classroom, the average age of boys (b) is g and the average age of girls (g) is b. The average age of all is b+g. At the time of calculation, the class teacher, who is 42 years old was also present in the class. Can you find the value of b+g?
Answer Choices: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12<|im_en... | 40,509 |
<|im_start|>user
The velocity of a falling object in a vacuum is directly proportional to the amount of time the object has been falling. If after 5 seconds an object is falling at a speed of 84 miles per hour, how fast will it be falling after 12 seconds?
Answer Choices: (A) 204 miles per hour (B) 212 miles per hour (... | 41,484 |
<|im_start|>user
What is defined as a push or pull acting on an object?
Answer choice: (A) effort (B) force (C) motion (D) work<|im_end|>
<|im_start|>assistant
<think>
</think>
Force is defined as a push or pull acting on an object. Forces include gravity, friction, and applied force.
The answer is B<|endoftext|> | 4,998 |
<|im_start|>user
A vending machine randomly dispenses four different types of fruit candy. There are twice as many apple candies as orange candies, twice as many strawberry candies as grape candies, and twice as many apple candies as strawberry candies. If each candy cost $0.3, and there are exactly 90 candies, what is... | 68,696 |
<|im_start|>user
The ratio between the number of sheep and the number of horses at the Stewar farm is 6 to 7. If each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form??
Answer Choices: (A) 18 (B) 28 (C) 32 (D) 48 (E) 58<|im_... | 51,933 |
<|im_start|>user
Which law states that a pair of alleles is separated, or segregated, during the formation of gametes?
Answer choice: (A) de facto segregation (B) law of equals (C) separation anxiety (D) law of segregation<|im_end|>
<|im_start|>assistant
<think>
</think>
Mendel summarized his findings in two laws: th... | 10,220 |
<|im_start|>user
In the county of Veenapaniville, there are a total of 50 high schools, of three kinds: 24 public schools, 16 parochial schools, and 10 private independent schools. These 50 schools are divided between three districts: A, B, and C. District A has 18 high schools total. District B has 17 high schools tot... | 78,897 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Overall supply is the total amount of a good or service that producers make and sell. There are several things that can make overall supply go up or down. The table below shows how changes to these things might affect overal... | 3,030 |
<|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.... | 5,581 |
<|im_start|>user
A man can row with a speed of 20 kmph in still water. If the stream flows at 12 kmph, then the speed in downstream is?
Answer Choices: (A) 27 (B) 23 (C) 20 (D) 32 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 20
S = 12
DS = 20 + 12 = 32
The answer is D<|endoftext|> | 50,085 |
<|im_start|>user
A student got twice as many sums wrong as he got right. If he attempted 36 sums in all, how many did he solve correctly ?
Answer Choices: (A) 12 (B) 16 (C) 18 (D) 24 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Suppose the boy got x sums right and 2x sums wrong.
Then, x + 2x =... | 66,964 |
<|im_start|>user
Calculate the speed of a boat in still water (in km/hr) if in one hour, the boat goes 10 km/hr downstream and 4 km/hr upstream.
Answer Choices: (A) 7 kmph (B) 8 kmph (C) 9 kmph (D) 7 kmph (E) 6 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed in still water = (10 + 4)1/2 kmph = 7 kmph.
The... | 38,375 |
<|im_start|>user
Two friends P & Q started a business investing amounts in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Q’s amount. At the end of the year 20% profit was earned which was equal to 98,000. What was the amount invested by R?
Answer Choices: (A) 2,10,000 (B) 1,05,... | 3,522 |
<|im_start|>user
The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Find the sum?
Answer Choices: (A) 30 (B) 15 (C) 40 (D) 45 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
a2+b2+c2=138 and(ab+bc+ca)=131
a+b+c^2=400
root(400)=20
The answer is E<|endoft... | 72,239 |
<|im_start|>user
A person crosses a 800 m long street in 6 minutes. What is his speed in km per hour?
Answer Choices: (A) 5.2 km/hr. (B) 8.0 km/hr. (C) 7.2 km/hr. (D) 3.2 km/hr. (E) 4.2 km/hr.<|im_end|>
<|im_start|>assistant
<think>
</think>
B
8.0 km/hr.
Speed=(800/6 * 60) m/sec
= 2.2 m/sec.
Converting m/sec to km/hr... | 87,558 |
<|im_start|>user
In an electric circuit, two resistors with resistances x and y are connected in parallel. If R is the combined resistance of these two resistors, then the reciprocal of R is equal to the sum of the reciprocals of x and y. What is R if x is 5 Ohms and y is 7 Ohms?
Answer Choices: (A) 3/5 (B) 1/7 (C) 12/... | 42,016 |
<|im_start|>user
In a Lake, there is a patch of lily pads. Every day, the patch doubles in size. It takes 37 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake?
Answer Choices: (A) 36 (B) 2^4*3 (C) 24 (D) 38 (E) 47<|im_end|>
<|im_start|>assistant
<think>
</thin... | 3,949 |
<|im_start|>user
Find the number of square tiles to cover the floor of a room measuring 3.5 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
Answer Choices: (A) 408 (B) 476 (C) 472 (D) 471 (E) 445<|im_end|>
<|im_start|>assistant
<think>
</think>
3 * 8 1/2 = 1/4 * 1/4 * x => x... | 66,465 |
<|im_start|>user
When integer n is divided by 15, the remainder is 5. Which of the following has a remainder of 10 when divided by 15 ?
I. 3l
II. 4l+10
III. 5l
IV. 2l
V .6l
Answer Choices: (A) I (B) III (C) IV (D) V (E) II<|im_end|>
<|im_start|>assistant
<think>
</think>
B
The answer is B<|endoftext|> | 86,665 |
<|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... | 1,304 |
<|im_start|>user
In 165 litres of mixtures of milk and water, water is only 28%. The milkman sold 40 litres of this mixture and then he added 30 litres of pure milk and 13 litres of pure water in the remaining mixture. What is the percentage of water in the final mixture?
Answer Choices: (A) 29.35% (B) 28. 57% (C) 24. ... | 59,237 |
<|im_start|>user
A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 65<|im_end|>
<|im_start|>assistant
<think>
</think>
SP of first article = 1000
P... | 11,642 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All organisms have pieces of hereditary material called genes, which are passed from parents to offspring. Genes contain instructions for building the parts of an organism. An organism's genes affect its observable traits, i... | 4,386 |
<|im_start|>user
If the sum of two numbers is 22 and the sum of their squares is 404, then the product of the numbers is
Answer Choices: (A) 40 (B) 44 (C) 80 (D) 88 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
according to the given conditions x+y = 22
and x^2+y^2 = 404
now (x+y)^2 = x^2+y^2+2xy
so 22^2 = ... | 32,237 |
<|im_start|>user
A milkman purchases the milk at Rs. x per litre and sells it at Rs. 2x per litre still he mixes 2 litres water with every 6 litres of pure milk. What is the profit percentage?
Answer Choices: (A) 166.69% (B) 166.66% (C) 166.76% (D) 136.66% (E) 566.66%<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 92,403 |
<|im_start|>user
Jacob is now 14 years younger than Michael. If 9 years from now Michael will be twice as old as Jacob, how old will Jacob be in 4 years?
Answer Choices: (A) 3 (B) 7 (C) 9 (D) 21 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
Jacob=x years, Michael=x+14 years
9 years from now,
2(x+9)=x+2... | 23,725 |
<|im_start|>user
The L.C.M of 2/3, 3/ 5, 4/7, 9/13 is :
Answer Choices: (A) 45 (B) 28 (C) 36 (D) 42 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
Required L.C.M =L.C.M. of 2,3,4,9/H.C.F. of 3,5,7,13 =36/1=36
The answer is C<|endoftext|> | 34,804 |
<|im_start|>user
After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and the new member ?
Answer Choices: (A) 10 (B) 11 (C) 22 (D) 15 (E) 18<|im_end|>
<|im_start|>assistant
<... | 94,418 |
<|im_start|>user
The ratio of the radius of two circles is 2: 7, and then the ratio of their areas is?
Answer Choices: (A) 1:7 (B) 2:9 (C) 1:9 (D) 4:49 (E) 3:4<|im_end|>
<|im_start|>assistant
<think>
</think>
r1: r2 = 2: 7
Î r1^2: Î r2^2
r1^2: r2^2 = 4:49
The answer is D<|endoftext|> | 5,236 |
<|im_start|>user
In a house a hall is 20 m long, 15m wide and 5m high. Its interior has to be covered with mat. What will be the total expenditure if it costs Rs. 60 per square m?
Answer Choices: (A) Rs. 50000 (B) Rs. 52000 (C) Rs. 57000 (D) Rs. 60000 (E) Rs. 67000<|im_end|>
<|im_start|>assistant
<think>
</think>
Len... | 82,358 |
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