text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
What combines with rain to form acid rain?
Answer choice: (A) suction and sulfur oxides (B) compost and sulfur oxides (C) carbon dioxide and sulfur oxides (D) nitrogen and sulfur oxides<|im_end|>
<|im_start|>assistant
<think>
</think>
Courtesy of the U. S. EPA. Nitrogen and sulfur oxides combine with... | 1,170 |
<|im_start|>user
If c and d are both negative and cd < d^2, which of the following must be true?
Answer Choices: (A) c < d < c^2 < d^2 (B) c < d < d^2 < c^2 (C) d < c < c^2 < d^2 (D) c^2 < d^2 < d < c (E) d^2 < c^2 < d < c<|im_end|>
<|im_start|>assistant
<think>
</think>
Because cd <d^2 and both are negative, I thoug... | 43,878 |
<|im_start|>user
A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Answer Choices: (A) 17 sec (B) 16 sec (C) 18 sec (D) 14 sec (E) 12 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 63 * 5/18
= 35/2 m/sec
Time taken = 280 * 2/35
= 16 sec
The answer is B<|endoftext|> | 12,189 |
<|im_start|>user
#p is defined as 2p-20 for any number p. What is p, if #(#(#p))=12?
Answer Choices: (A) –108 (B) 19 (C) 10 (D) 16 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
#p = 2p-20 --->#(#p) = 2(2p-20)-20 = 4p-60 and thus #(4p-60) = 2(4p-60)-20 = 8p-140 = 12 ---> 8p= 152 ---> p = 19, B is the
The ans... | 30,569 |
<|im_start|>user
A mixture contains alcohol and water in the ratio 4 : 3. If 9 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture
Answer Choices: (A) 15 litres (B) 10 litres (C) 30 litres (D) 22 litres (E) 18 litres<|im_end|>
<|im_start|>assistant
<think>
... | 33,272 |
<|im_start|>user
A train passes a station platform in 18 seconds and a man standing on the platform in 12 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Answer Choices: (A) 100 (B) 150 (C) 96 (D) 88 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = [54 * 5/18] m/sec ... | 12,289 |
<|im_start|>user
Because of the wave character of matter, the idea of well-defined orbits gives way to a model in which there is a cloud of what?
Answer choice: (A) particles (B) probability (C) mutation (D) chaos<|im_end|>
<|im_start|>assistant
<think>
</think>
Because of the wave character of matter, the idea of we... | 7,239 |
<|im_start|>user
If x > 0.6, which of the following could be the value of x?
Answer Choices: (A) √0.6 (B) √0.007 (C) √0.006 (D) √0.008 (E) √0.009<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 96,686 |
<|im_start|>user
A man purchased 3 blankets @ Rs.100 each, 1 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Answer Choices: (A) 1050 (B) 2770 (C) 1550 (D) 5102 ... | 45,515 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Which organ stores memories?
Answer Choices: (A) lungs (B) skeleton (C) brain<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 3,127 |
<|im_start|>user
20 14 8
10 5 10
5 ? 3
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
difference bet 20&14=6 and 14&8=6
10&5=5 and 5&10=5
similarly
5&4=1 and 4&3=1
ans is 4
The answer is C<|endoftext|> | 25,676 |
<|im_start|>user
From the sale of sleeping bags, a retailer made a gross profit of 17% of the wholesale cost. If each sleeping bag was sold for $28, what was the wholesale cost per bag?
Answer Choices: (A) 3.0 (B) 3.36 (C) 23.93 (D) 25.0 (E) 31.36<|im_end|>
<|im_start|>assistant
<think>
</think>
Cost price * 1.17 = S... | 50,272 |
<|im_start|>user
Generators convert mechanical energy to which kind?
Answer choice: (A) kinetic (B) radiation (C) static (D) electrical<|im_end|>
<|im_start|>assistant
<think>
</think>
Generators and motors are almost identical in construction but convert energy in opposite directions. Generators convert mechanical e... | 7,515 |
<|im_start|>user
The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
Answer Choices: (A) 74 (B) 94 (C) 184 (D) 364 (E) 154<|im_end|>
<|im_start|>assistant
<think>
</think>
L.C.M. of 6, 9, 15 and 18 is 90. Let required number be 90k + 4, which is multiple of 7. Least value of k ... | 16,566 |
<|im_start|>user
How many pieces of 75 cm can be cut from a rope 52.5 meters long?
Answer Choices: (A) 30 (B) 40 (C) 60 (D) None (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Total pieces of 75 cm that can be cut from a rope of 52.5 meters long is
= (52.5 meters)/(75 cm)
= (5... | 88,257 |
<|im_start|>user
Two vessels contains equal number of mixtures milk and water in the ratio 4:1 and 7:3. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained?
Answer Choices: (A) 2:1 (B) 4:1 (C) 3:1 (D) 2:3 (E) 4:3<|im_end|>
<|im_start|>assistant
<think>
</think>
T... | 85,303 |
<|im_start|>user
A train overtakes 2 girls who are walking inthe opposite direction in which the train is going at the rate of 3 km/hour & 6km/hour and passes them completely in 36sec & 30 sec respectively. Find the length of the train is?
Answer Choices: (A) 90 m (B) 120 m (C) 150 m (D) 190 m (E) 210 m<|im_end|>
<|im_... | 97,414 |
<|im_start|>user
To save money, Arkadelphia Cream Cheese will reduce each dimension of its rectangular box container (which is entirely full of cream cheese) by 25%, and reduce the price it charges its consumers by 25% as well. By what percentage does this increase the price-per-cubic-inch that each consumer will pay f... | 58,798 |
<|im_start|>user
The ages of two persons differ by 16 years. 7 years ago, the elder one was 3 times as old as the younger
one. What are their present ages of the elder person
Answer Choices: (A) 15 (B) 31 (C) 25 (D) 30 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let's take the present age of ... | 54,399 |
<|im_start|>user
If one root of the equation 2x^2 + 3x – k = 0 is 5, what is the value of k?
Answer Choices: (A) 65 (B) 79 (C) 68 (D) 87 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
We just enter this root into the equation in order to recieve an equation to find the answer!
2*5^2+3*5-k=0
k=50+15=65
The an... | 50,595 |
<|im_start|>user
A factory has three types of machines, each of which works at its own constant rate. If 7 Machine As and 11 Machine Bs can produce 525 widgets per hour, and if 8 Machine As and 22 Machine Cs can produce 600 widgets per hour, how many widgets could one machine A, one Machine B, and one Machine C produce... | 58,110 |
<|im_start|>user
What is the name for a molecule with two atoms?
Answer choice: (A) hydrostatic (B) diatomic (C) ionized (D) covalent<|im_end|>
<|im_start|>assistant
<think>
</think>
Consider the example of water forming from hydrogen and oxygen. Both hydrogen and oxygen gases exist as diatomic (“two-atom”) molecules... | 10,826 |
<|im_start|>user
What force is responsible for erosion by flowing water and glaciers?
Answer choice: (A) gravity (B) kinetic (C) electromagnetic (D) weight<|im_end|>
<|im_start|>assistant
<think>
</think>
Gravity is responsible for erosion by flowing water and glaciers. That’s because gravity pulls water and ice down... | 503 |
<|im_start|>user
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 4000, the number of valid votes that the other candidate got, was:
Answer Choices: (A) 3500 (B) 1200 (C) 1650 (D) 3700 (E) 1800<|im_end|>
<|im_start|>assistant
<t... | 91,909 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A clause is a group of words that contains both a subject and a predicate.
An independent clause is a complete thought that can stand alone as a sentence. A dependent clause (or subordinate clause) is not a complete thought ... | 4,065 |
<|im_start|>user
A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:
Answer Choices: (A) 10 (B) 6 (C) 5 (D) 4 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Speed of the motor... | 16,861 |
<|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... | 890 |
<|im_start|>user
Find the greatest number that will divided 43,91 and 183 so as to leave the same remainder in each case
Answer Choices: (A) 4 (B) 7 (C) 9 (D) 13 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43)
= H.C.F. of 48, 92 and 140... | 19,325 |
<|im_start|>user
A sum of money deposited at C.I. amounts to Rs.1820 in 4 years and to Rs.2402 in 5 years. Find the rate percent?
Answer Choices: (A) 30% (B) 31% (C) 34% (D) 19% (E) 50%<|im_end|>
<|im_start|>assistant
<think>
</think>
1820 --- 582
100 --- ? => 31%
The answer is B<|endoftext|> | 15,863 |
<|im_start|>user
How many numbers between 200 and 400 begin or end with 2?
Answer Choices: (A) 20 (B) 60 (C) 100 (D) 110 (E) 120<|im_end|>
<|im_start|>assistant
<think>
</think>
How many numbers between 200 and 400 begin or end with 2?
Just think that those numbers are:
i) The ones ending in 2: 202, 212, 222, ... , 3... | 33,921 |
<|im_start|>user
Two pipes A and B can fill a cistern in 12 and 15 minutes respectively. Both are opened together but after 3 minutes A is turned off. After how much more time will the cistern be filled?
Answer Choices: (A) 8 1/9 (B) 8 1/0 (C) 8 1/4 (D) 8 1/3 (E) 8 1/1<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 75,298 |
<|im_start|>user
P runs 25% faster than Q so P gives Q a ten meter head start. If the race ends in a tie, how far (in meters) did P run in the race?
Answer Choices: (A) 50 (B) 60 (C) 70 (D) 80 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
Let D be the race distance that P ran.
Let T be the time it took to c... | 76,931 |
<|im_start|>user
The ratio between the speeds of two Bullet trains is 7:6. If the second Bullet train runs 440 kms in 4 hours, then the speed of the first train is:
Answer Choices: (A) 89.25 km/hr. (B) 37.25 km/hr. (C) 128.3 km/hr. (D) 94.25 km/hr. (E) 96.25 km/hr.<|im_end|>
<|im_start|>assistant
<think>
</think>
Let... | 39,944 |
<|im_start|>user
In Solution P, the proportion of water to alcohol is 5:2. In Solution Q, the proportion of water to alcohol is 3:2. If the two solutions are combined, what is the concentration of alcohol in the new solution if the original solutions were mixed in equal amounts?
Answer Choices: (A) 25% (B) 28% (C) 31% ... | 7,948 |
<|im_start|>user
You hold some gold in a vault as an investment. Over the past year the price of gold increases by 40%. In order to keep your gold in the vault, you must pay 5% of the total value of the gold per year. What percentage has the value of your holdings changed by over the past year.
Answer Choices: (A) 35% ... | 32,561 |
<|im_start|>user
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
Answer Choices: (A) 17/26 (B) 17/22 (C) 17/22 (D) 17/29 (E) 17/12<|im_end|>
<|im_start|>assistant
<think>
</think>
n(S) = 20
n(Even no) = 10 = n(E)
n(Prime no) = ... | 34,530 |
<|im_start|>user
x and y are positive integers. If xy + 3x is odd, then which of the following must be even?
Answer Choices: (A) x (B) y (C) 3 + y (D) xy − x (E) x^2 − y<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that xy + x is odd, which means x(y+3) is odd.
Product of two nos. will be odd only if both t... | 27,617 |
<|im_start|>user
A work can be finished in 14 days by thirty women. The same work can be finished in fifteen days by forteen men. The ratio between the capacity of a man and a woman is
Answer Choices: (A) 3:4 (B) 4:3 (C) 2:1 (D) 3:2 (E) 4:5<|im_end|>
<|im_start|>assistant
<think>
</think>
Work done by 20 women in 1 d... | 16,612 |
<|im_start|>user
A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Answer Choices: (A) 250 (B) 277 (C) 255 (D) 278 (E) 281<|im_end|>
<|im_start|>assistant
<think>
</think>
CP1 = 100 SP1 = 90
CP2 = 80 ... | 46,698 |
<|im_start|>user
Paul sells encyclopedias door-to-door. He earns $140 on every paycheck, regardless of how many sets he sells. In addition, he earns commission as follows:
Commission Sales
10% $0.00 - $10,000.00
5% $10,000.01 --->
He does not earn double commission.That is, if his sales are $12,000, he earns 10% on the... | 31,696 |
<|im_start|>user
Last year, a certain public transportation system sold an average (arithmetic mean) of 41,000 tickets per day on weekdays (Monday through Friday) and an average of 15,000 tickets per day on Saturday and Sunday. Which of the following is closest to the total number of tickets sold last year?
Answer Choi... | 27,647 |
<|im_start|>user
The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 48 years, was replaced by a new person. Find the age of the new person?
Answer Choices: (A) 18 (B) 56 (C) 12 (D) 17 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Initial average age of the 10 pe... | 89,504 |
<|im_start|>user
Eight men, ten women and six boys together can complete a piece of work in eight days. In how many days can 20 women complete the same work if 20 men can complete it in 12 days?
Answer Choices: (A) 33 (B) 77 (C) 66 (D) 22 (E) 99<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of units... | 20,069 |
<|im_start|>user
If the S.P of Rs. 45 results in a 50% discount on the list price, What S.P would result in a 40% discount on the list price?
Answer Choices: (A) s. 54 (B) s. 56 (C) s. 58 (D) s. 60 (E) s. 62<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the list price be Rs. X,
50/100*x = 45, x = 45*100/50 = 9... | 43,946 |
<|im_start|>user
The sale price sarees listed for Rs.400 after successive discount is 25% and 20% is?
Answer Choices: (A) 297 (B) 879 (C) 342 (D) 240 (E) 269<|im_end|>
<|im_start|>assistant
<think>
</think>
400*(75/100)*(80/100)
= 240
The answer is D<|endoftext|> | 691 |
<|im_start|>user
two friends A,B are running up hill and then to get down! length if road is 440 yards A on his return journey met B going up at 20 yards from top, A has finished the race .5 minute earlier than B, then how much time A had taken to complete the race.
Answer Choices: (A) 55 minutes (B) 95 minutes (C) 105... | 7,534 |
<|im_start|>user
A boy is travelling from his home to school at 12 km/hr and reached 7 min late. Next day he traveled at 16 km/hr and reached 8 min early. Distance between home and school?
Answer Choices: (A) 12km (B) 13km (C) 14km (D) 15km (E) 16km<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the distance be... | 36,341 |
<|im_start|>user
How many shots of 1cm radius can be prepared from a sphere of 3cm radius?
Answer Choices: (A) 33 (B) 88 (C) 27 (D) 88 (E) 99<|im_end|>
<|im_start|>assistant
<think>
</think>
4/3 π * 3 * 3 * 3 = 4/3 π * 1 * 1 * 1 * x
x = 27
The answer is C<|endoftext|> | 86,334 |
<|im_start|>user
In how many ways can the letters of the word ACTUAL be rearranged such that the vowels always appear together?
Answer Choices: (A) 6!/2! (B) 3!*3! (C) 4!/2! (D) (4! *3!) /2! (E) 3!*3!/2<|im_end|>
<|im_start|>assistant
<think>
</think>
In the word ABACUS , there are 3 vowels - 2 A's and U
Number of wa... | 14,038 |
<|im_start|>user
A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
Answer Choices: (A) 165 ways (B) 176 ways (C) 197 ways (D) 160 ways (E) 162 ways<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of persons in the committee
= 5 + 6 = 11
Number of ways ... | 30,284 |
<|im_start|>user
jhon has 10 choclates, jennifer has 5 choclates. Totally how many choclates they have in all?
Answer Choices: (A) 5 (B) 10 (C) 15 (D) 20 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
10+5=15.
The answer is C<|endoftext|> | 19,577 |
<|im_start|>user
When 19 is divided by positive integer j, the remainder is 4. For how many values of j is this be true?
Answer Choices: (A) 1 (B) 3 (C) 5 (D) 7 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
When 19 is divided by j, the remainder is 4 i.e. 5 kiwis left over after grouping, so j must be greate... | 38,167 |
<|im_start|>user
What is the si unit for electric current?
Answer choice: (A) joule (B) ohm (C) planck (D) ampere<|im_end|>
<|im_start|>assistant
<think>
</think>
Electric current is a continuous flow of electric charges (electrons). Current is measured as the amount of charge that flows past a given point in a certa... | 7,115 |
<|im_start|>user
A freight elevator can carry a maximum load of 1100 pounds. Sean, who weighs 200 pounds, is in the elevator with two packages weighing 150 pounds and 280 pounds. If he needs to fit three more packages in the elevator that weigh as much as possible without exceeding the elevator limit, what is the diffe... | 84,327 |
<|im_start|>user
UBA Capital recently bought Brand new vehicles for office use. UBA capital only went for Toyota and Honda and bought less of Toyota than Honda at the ratio of 4:6. If 40% of the Toyota bought and 60% of the Honda bought were SUV’s. How many SUV’s did UBA capital buy in the aforementioned ... | 94,563 |
<|im_start|>user
A car covers a distance of 624 km in 3 1/5 hours. Find its speed?
Answer Choices: (A) 104 kmph (B) 195 kmph (C) 109 kmph (D) 174 kmph (E) 101 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
624/3 1/5
=195 kmph
The answer is B<|endoftext|> | 29,373 |
<|im_start|>user
A word is defined as a sequence of four dots arranged in a row. Each dot is colored either red, yellow, or blue. How many distinct words can be formed?
Answer Choices: (A) 36 (B) 48 (C) 64 (D) 81 (E) 120<|im_end|>
<|im_start|>assistant
<think>
</think>
3^4 = 81
The answer is D<|endoftext|> | 22,628 |
<|im_start|>user
Of the students at a certain high school, 90 percent took a course in arithmatic or geometry and 15 percent took courses in both. If the percent of students who took a course in arithmatic was 2 times the percent of students who took a course in geometry, what percent of the students took a course in a... | 63,188 |
<|im_start|>user
When menstrual periods become less frequent and finally cease; this is called?
Answer choice: (A) climax (B) hormonal imbalance (C) metabolic (D) menopause<|im_end|>
<|im_start|>assistant
<think>
</think>
Which of the following statements about the menstrual cycle is false? a. Progesterone levels ris... | 3,688 |
<|im_start|>user
A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and B quits 5 days before the project is completed, in how many days total will the project be completed?
Answer Choices: (A) 10 (B) 12 (C) 14 (D) 16 (E) 18<|im_end|>
<|i... | 38,226 |
<|im_start|>user
In a camp, there is a meal for 90 men or 180 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal ?
Answer Choices: (A) 16 (B) 20 (C) 13 (D) 15 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
There is a meal for 180 children. 150... | 91,751 |
<|im_start|>user
There are 2 groups named brown and red. They can n't marry in the same group. If the husband or wife dies then the person will revert to their own group. If a person is married then the husband will have to change his group to his wife's group. Children will own the mother's group. If man is red then h... | 79,006 |
<|im_start|>user
Most fungi can reproduce in which 2 ways?
Answer choice: (A) asexually and sexually (B) binary fission and fusion (C) sexually and autonomously (D) sexually and binary fusion<|im_end|>
<|im_start|>assistant
<think>
</think>
The majority of fungi can reproduce both asexually and sexually. This allows ... | 4,553 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A sentence is a group of words that forms a complete thought. It has both a subject and a verb.
My friends walk along the path.
A sentence fragment is a group of words that does not express a complete thought. It is usually ... | 3,214 |
<|im_start|>user
Crazy Eddie has a key chain factory. Eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 50% of the selling price to 50% of the selling price. If the manufacturing cost is now $50, wh... | 6,341 |
<|im_start|>user
What is released during an enthalpy reaction?
Answer choice: (A) gold (B) precipitation (C) sound (D) heat<|im_end|>
<|im_start|>assistant
<think>
</think>
The enthalpy of the reactants is greater than the enthalpy of the products. During the course of the reaction, heat is released to the surroundin... | 6,710 |
<|im_start|>user
A bag contains 4red, 5blue and 3green balls. If 3 ballsare picked at random, what is the probability that both are red?
Answer Choices: (A) 1/33 (B) 1/22 (C) 1/12 (D) 1/44 (E) 1/55<|im_end|>
<|im_start|>assistant
<think>
</think>
P(Both are red),
=4C3/12C3=1/55
E
The answer is E<|endoftext|> | 28,287 |
<|im_start|>user
A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of... | 6,430 |
<|im_start|>user
During the break of a football match, the coach will make 3 substitutions. If the team consists of 13 players among which there are 2 forwards, what is the probability that none of the forwards will be substituted?
Answer Choices: (A) 21/55 (B) 18/44 (C) 42/143 (D) 28/44 (E) 36/55<|im_end|>
<|im_s... | 68,395 |
<|im_start|>user
The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
Answer Choices: (A) 6 (B) 9 (C) 4 (D) 5 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
S = 1
M = x
DS = x + 1
US = x - 1
35/(x + 1) + ... | 7,328 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Rhyming words are words that end with the same sound.
The words tip and slip rhyme. They both end with the ip sound.
The words lake and make rhyme. They both end with the ake sound.
The words tip and lake don't rhyme. They e... | 1,232 |
<|im_start|>user
The original price of a suit is $200. The price increased 25%, and after this increase, the store published a 25% off coupon for a one-day sale. Given that the consumers who used the coupon on sale day were getting 25% off the increased price, how much did these consumers pay for the suit?
Answer Choic... | 15,131 |
<|im_start|>user
A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Answer Choices: (A) 5 (B) 6 (C) 4 (D) 9 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of train relative to... | 38,938 |
<|im_start|>user
The captain of a cricket team of 11 members is 30 years old and the wicket keeper is 5 years younger. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average of the team?
Answer Choices: (A) 20 (B) 23 (... | 30,324 |
<|im_start|>user
A letter lock consists of three rings each marked with eight different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
Answer Choices: (A) 176 (B) 511 (C) 518 (D) 519 (E) 172<|im_end|>
<|im_start|>assistant
<think>
</think>
Since each ring consists of eight diff... | 4,051 |
<|im_start|>user
If x is an odd negative integer and y is an even integer, which of the following statements must be true?
I. (4x - 2y) is odd
II. xy^2 is an even negative integer
III. (y^2 - x) is an odd negative integer
Answer Choices: (A) I only (B) II only (C) I and II (D) I and III (E) I,II and III NOT TRUE<|im_en... | 16,477 |
<|im_start|>user
A pipe can fill a cistern in 33 minutes. Find the time in which 1/11 part of the cistern will be filled?
Answer Choices: (A) 5min (B) 2min (C) 3min (D) 1min (E) 10min<|im_end|>
<|im_start|>assistant
<think>
</think>
Full cistern filled in = 33 minutes
1/11 part filled in = 33*1/11 = 3minutes
The answ... | 36,427 |
<|im_start|>user
An electron is accelerated from rest through a potential difference of what?
Answer choice: (A) volts (B) joules (C) watts (D) amperes<|im_end|>
<|im_start|>assistant
<think>
</think>
An electron is accelerated from rest through a potential difference of volts. It then enters a region traveling perpe... | 9,551 |
<|im_start|>user
A basketball player is shooting hoops. He shoots a free throw, a high school 3-pointer, and then a professional 3-pointer. The probability that he makes the free throw is 4/5, the probability that he makes the high school 3-pointer is 1/2, and the probability that he makes the professional 3-pointer is... | 55,175 |
<|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... | 5,691 |
<|im_start|>user
An equal number of desks and bookcases are to be placed along a library wall that is 15 meters long. Each desk is 2 meters long, and each bookshelf is 1.5 meters long. If the maximum possible number of desks and bookcases are to be placed along the wall, then the space along the wall that is left over ... | 18,105 |
<|im_start|>user
How many 3-digit numbers are completely divisible 6 ?
Answer Choices: (A) 25 (B) 78 (C) 93 (D) 150 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
3-digit number divisible by 6 are: 102, 108, 114,... , 996
This is an A.P. in which a = 102, d = 6 and l = 996
Let the number of term... | 8,588 |
<|im_start|>user
In the city of San Durango, 60 people own cats, dogs, or rabbits. If 30 people owned cats, 40 owned dogs, 10 owned rabbits, and 10 owned exactly two of the three types of pet, how many people owned all three?
Answer Choices: (A) 2 (B) 5 (C) 8 (D) 12 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</thi... | 9,357 |
<|im_start|>user
A can complete a project in 10 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?
Answer Choices: (A) 18 days (B) 15 days (C) 26.67 days (D) 16 days (E... | 31,026 |
<|im_start|>user
If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 (512)
Answer Choices: (A) 3.876 (B) 2.967 (C) 2.87 (D) 3.912 (E) 1.9<|im_end|>
<|im_start|>assistant
<think>
</think>
log5 (512)
= log (512)/log 5
= log 2^9/log (10/2)
= 9 log 2/(log 10 - log 2)
= (9 x 0.3010)/(1 - 0.3010)
= 2.709/0.699
= 2709/6... | 89,637 |
<|im_start|>user
Mr. Smitherly leaves Cedar Rapids at 8:00 a.m. and drives north on the highway at an average speed of 50 km per hour. Mr. Dinkle leaves Cedar Rapids at 9:00 a.m. and drives north on the same highway at an average speed of 70 km per hour. Mr. Dinkle will
Answer Choices: (A) overtake Mr. Smitherly at 9:3... | 56,296 |
<|im_start|>user
In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together?
Answer Choices: (A) 650 (B) 720 (C) 420 (D) 122 (E) 450<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The word 'LEADING' has 7 letters. It has the vowels 'E',... | 17,393 |
<|im_start|>user
If it takes 6 identical printing presses exactly 4 hours T to print 5,000 newspapers, how long would it take 3 of these presses to print 3,000 newspapers?
Answer Choices: (A) 3 hours, 20 minutes (B) 4 hours, 20 minutes (C) 4 hours, 48 minutes (D) 5 hours, 48 minutes (E) 6 hours, 50 minutes<|im_end|>
<|... | 58,650 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Rhyming words are words that end with the same sound.
The words tip and slip rhyme. They both end with the same sound.
The words meet and treat also rhyme. They both end with the same sound, even though the sound has two dif... | 21 |
<|im_start|>user
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is :
Answer Choices: (A) 123 (B) 127 (C) 235 (D) 305 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Required number = H.C.F. of (1657 - 6) and (2037 - 5)
= H.C.F. of 1651 and 2032 ... | 51,117 |
<|im_start|>user
Which of the following options is the possible total number of people in a hall given that the number of people is a multiple of both 8 and 22.?
Answer Choices: (A) 88 (B) 56 (C) 64 (D) 72 (E) 80<|im_end|>
<|im_start|>assistant
<think>
</think>
the number of people are a multiple of both 8 and 22, so... | 39,561 |
<|im_start|>user
How many pairs of letters are there in the word INSTITUTE which have as many letters between them in the word as in the English alphabet?
Answer Choices: (A) 6 (B) 2 (C) 1 (D) 3 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
N _ _ _ _ _T
ST
TU
so total= 3
The answer is D<|endoftext|> | 26,346 |
<|im_start|>user
In a rectangular axis system, what is the area of a parallelogram with the coordinates: (5,7), (12,7), (2,3), (9,3) ?
Answer Choices: (A) 21 (B) 28. (C) 35. (D) 49. (E) 52.<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of parallelogram = b*h.
Base = Distance in x coordinates between (2,3) and... | 38,340 |
<|im_start|>user
The total marks obtained by a student in Mathematics and Physics is 70 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
Answer Choices: (A) 40 (B) 45 (C) 27 (D) 28 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</thi... | 16,996 |
<|im_start|>user
What is the name for membrane-bound sacs that function in storage and transport?
Answer choice: (A) vacuoles (B) alleles (C) cells (D) tubules<|im_end|>
<|im_start|>assistant
<think>
</think>
Vesicles and Vacuoles Vesicles and vacuoles are membrane-bound sacs that function in storage and transport. V... | 10,722 |
<|im_start|>user
six friends met for lunch at an expensive restaurant, and everyone decided to contribute equally to the total bill of $420. If one of the friends had a coupon for 20% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?... | 83,860 |
<|im_start|>user
A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum... | 17,640 |
<|im_start|>user
There are 7 red cups and 5 blue cups on a shelf. If 4 cups are selected at random from the shelf, what is the probability that all 4 cups selected are red cups?
Answer Choices: (A) 1/99 (B) 5/99 (C) 7/99 (D) 11/99 (E) 17/99<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of ways of choosi... | 11,714 |
<|im_start|>user
If sq. root of(x)/|y| = -1 which of the following must be true?
Answer Choices: (A) x = -y (B) x = y (C) x = y^2 (D) x^2 = y^2 (E) x^3 = y^3<|im_end|>
<|im_start|>assistant
<think>
</think>
sq. root of(x)/|y| = -1
sq. root of(x)= -1 |y|
Squaring both sides
+ or - (x) = (-1 |y|) ^2= y^2
C is
The answe... | 19,605 |
<|im_start|>user
The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Answer Choices: (A) 46 (B) 99 (C) 8826 (D) 266 (E) 232<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 7 of them = 7 * 5... | 31,216 |
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