text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
From a nine-member dance group, six will be chosen at random to volunteer at a youth dance event. If Kori and Jason are three of the nine members, what is the probability that three will be chosen to volunteer?
Answer Choices: (A) a) 1/21 (B) b) 100/7 (C) c) 4/21 (D) d) 2/7 (E) e) 3/7<|im_end|>
<|... | 52,489 |
<|im_start|>user
When n liters of fuel was added to a tank that was already 2/3 full, the tank was filled to 7/9 of its capacity. In terms of n, what is the capacity of the tank, in liters?
Answer Choices: (A) 10/9 n (B) 4/3 n (C) 3/2 n (D) 9/4 n (E) 9n<|im_end|>
<|im_start|>assistant
<think>
</think>
E is the answer... | 41,572 |
<|im_start|>user
If k is the sum of the digits of integer m, and m=12n, where n is an integer, which of the following must be true?
Answer Choices: (A) k is not divisible by 9 (B) The sum of the digits of k is divisible by 3 (C) m is a multiple of 2k (D) k is a multiple of 9 (E) k is a multiple of 6<|im_end|>
<|im_star... | 14,273 |
<|im_start|>user
The first photo shoot takes 3 minutes long and then the following shoots are taken at a rate of 24 seconds/shoot as the model is already at the scene. What is the maximum number of photo shoots taken under 10 minutes ?
Answer Choices: (A) 13 (B) 14 (C) 15 (D) 16 (E) 18<|im_end|>
<|im_start|>assistant
<... | 7,244 |
<|im_start|>user
A computer wholesaler sells nine different computers and each is priced differently. If the wholesaler chooses three computers for display at a trade show, what is the probability (all things being equal) that the two most expensive computers will be among the three chosen for display?
Answer Choices: ... | 68,140 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms that carry out photosynthesis are called photosynthetic organisms. During photosynthesis, these organisms use light energy to turn water and carbon dioxide into sugars and oxygen.
Photosynthetic organisms also ofte... | 1,837 |
<|im_start|>user
Which organ is the control center of the nervous system?
Answer choice: (A) the heart (B) the spine (C) the brain (D) the lungs<|im_end|>
<|im_start|>assistant
<think>
</think>
What weighs about three pounds and contains up to 100 billion cells? The answer is the human brain. The brain is the control... | 8,223 |
<|im_start|>user
A train running at the speed of 54 km/hr crosses a pole in 9 seconds. Find the length of the train?
Answer Choices: (A) 135 (B) 272 (C) 278 (D) 277 (E) 112<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 54*(5/18) m/sec = 15 m/sec
Length of Train (Distance) = Speed * Time
(15) * 9
= 135 mete... | 25,660 |
<|im_start|>user
Today David, who is 40 years old, and his daughter, who is 12 years old, celebrate their birthdays. How many years will pass before David’s age is twice his daughter’s age?
Answer Choices: (A) 22 (B) 20 (C) 16 (D) 18 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Forget conventional ways of ... | 17,857 |
<|im_start|>user
The marks obtained by Polly and Sandy are in the ratio 5:6 and those obtained by Sandy and Willy are in the ratio of 9:7. The marks obtained by Polly and Willy are in the ratio of...?
Answer Choices: (A) 9:8 (B) 11:10 (C) 13:12 (D) 15:14 (E) 17:16<|im_end|>
<|im_start|>assistant
<think>
</think>
Poll... | 93,804 |
<|im_start|>user
In a class, the average age of 40 boys is 18 years and the average of 30 girls is 15 years. what is the average age of the whole class?
Answer Choices: (A) 12 Years (B) 12.3 Years (C) 12.6 Years (D) 16.7 Years (E) 15 Years<|im_end|>
<|im_start|>assistant
<think>
</think>
Total age of 70 students
(40X... | 33,931 |
<|im_start|>user
two friends deepak and rajeev have agreed to meet at a definite spot on a particular day between 9pm and 10pm. the first person to come waits for some time and leaves.If the other one does not turn up by that time.If Deepak comes first,he waits for 45minutes and if Rajeev comes first,he waits for 15min... | 69,741 |
<|im_start|>user
By multiplying the force applied by the perpendicular component of the moment arm,what is determined?
Answer choice: (A) radiation (B) intensities (C) pressure (D) torques<|im_end|>
<|im_start|>assistant
<think>
</think>
Individual torques are determined by multiplying the force applied by the perpe... | 11,429 |
<|im_start|>user
The sum of how many terms of the series 6 + 12 + 18 + 24 + ... is 1800 ?
Answer Choices: (A) 12 (B) 16 (C) 18 (D) 20 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
This is an A.P. in which a = 6, d = 6 and Sn = 1800
Then, n [2a + (n - 1)d] = 1800
2
n [2 x 6 + (n - 1) x 6] = 1800
2
3n (n + 1)... | 51,909 |
<|im_start|>user
If p and q are positive integers, which of the following can never be the greatest common divisor of 48p and 18q?
Answer Choices: (A) 48 (B) 48p (C) 18q (D) 6(p-q) (E) 16q<|im_end|>
<|im_start|>assistant
<think>
</think>
Greatest Common Factor of 48p and 18q = 6 or 6p or 6q ( A multiple of 6 )
Now, ... | 92,899 |
<|im_start|>user
Which of the following must be true?
1) Every prime number greater than 5 can be written as either as 5n+1 or 5n-1
2) Every prime number greater than 5 can be written as 4n+1 or 4n-1
3) Every number greater than 5 of the form 5n+1 or 5n-1 is a prime number.
Answer Choices: (A) 1,2,3 (B) 1,2 (C) 2,3 (D)... | 29,681 |
<|im_start|>user
31 of the scientists that attended a certain workshop were Wolf Prize laureates, and 18 of these 31 were also Nobel Prize laureates. Of the scientists that attended that workshop and had not received the Wolf prize, the number of scientists that had received the Nobel Prize was 3 greater than the numbe... | 56,671 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
A euphemism is a polite or indirect expression that is used to de-emphasize an unpleasant topic.... | 6,457 |
<|im_start|>user
Lucy deposited $62500 in an investment fund that provided 12 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in months, did her investment earn a total interest of $5100?
Answer Choices: (A) 0.5 (B) 12 (C) 3 (D) 18 (E) 6.1<|im_end|>
<|im_st... | 24,424 |
<|im_start|>user
P is 60% more efficient than Q. P can complete a work in 26 days. If P and Q work together, how many days will it take to complete the same work?
Answer Choices: (A) 12 (B) 14 (C) 16 (D) 18 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
The work done by P in 1 day = 1/26
Let work done by Q i... | 62,444 |
<|im_start|>user
Excluding stoppages, the speed of a train is 54 kmph and including stoppages it is 40 kmph. Of how many minutes does the train stop per hour?
Answer Choices: (A) A) 13.55 (B) B) 14.55 (C) C) 15.55 (D) D) 16.55 (E) E) 17.55<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
T = 14/54 * 60 =... | 96,655 |
<|im_start|>user
Calculate the ratio between x and y if 30% of x equal to 50% of y?
Answer Choices: (A) 4 : 5 (B) 3 : 5 (C) 3 : 7 (D) 3 : 2 (E) 4 : 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
30 x = 50 y
x: y = 30: 50 = 3 : 5
The answer is B<|endoftext|> | 36,337 |
<|im_start|>user
A disease has infected an ant colony that consists ofworkersandsoldiers: 30% of the soldiers and 14% of theworkerswere infected. If that colony is inhabited by 7000 ants, out of which 1660 are infected, how manyworkersinhabit the colony?
Answer Choices: (A) 1500 (B) 2500 (C) 2750 (D) 3000 (E) 3250<|im_... | 90,964 |
<|im_start|>user
The cell wall of plants is made up of a complex carbohydrate that is a polymer of what sugar?
Answer choice: (A) glucose (B) sucrose (C) insulin (D) fructose<|im_end|>
<|im_start|>assistant
<think>
</think>
complex carbohydrate that is a polymer of glucose and that makes up the cell wall of plants.
T... | 6,608 |
<|im_start|>user
A number of the form 213ab, where a and b are digits, has a reminder less than 10 when divided by 100. The sum of all the digits in the above number is equal to 13. Find the digit b.
Answer Choices: (A) 9 (B) 10 (C) 7 (D) 12 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
213ab may be written... | 22,650 |
<|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... | 4,480 |
<|im_start|>user
The perimeter of a semi circle is 108 cm then the radius is?
Answer Choices: (A) 17 (B) 21 (C) 19 (D) 11 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
36/7 r = 108 => r
= 21
The answer is B<|endoftext|> | 81,861 |
<|im_start|>user
In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?
Answer Choices: (A) 57.5 m (B) 127.5 m (C) 150.7 m (D) 98.6 m (E) 95 m<|im_end|>
<|im_start|>assistant
<think>
</think>
When A runs 1000 m, B runs 900 m and when B r... | 76,305 |
<|im_start|>user
What is the process by which undigested food leaves the body?
Answer choice: (A) glycolysis (B) digestion (C) egestion (D) peristalsis<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 1,417 |
<|im_start|>user
5,8,11,14,17............nth terms
Answer Choices: (A) 2+3n (B) 2+4n (C) 3+3n (D) 4+3n (E) 2+2n<|im_end|>
<|im_start|>assistant
<think>
</think>
nth term is given by 2+3*n
when n=1, term , T1=2+3=5
n=2, T2= 2+2*3=8
..
nth term, Tn = 2+3n
The answer is A<|endoftext|> | 68,871 |
<|im_start|>user
Three people each took 5 tests. If the ranges of their scores in the 5 practice tests were 20, 28 and 35, what is the minimum possible range in scores of the three test-takers?
Answer Choices: (A) 30 (B) 35 (C) 25 (D) 15 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
I simply looked at the 3... | 61,251 |
<|im_start|>user
A person P takes 4 hrs time to complete a job and Q takes 6 hrs to complete the same job if they work together how much time will they require to complete the job?
Answer Choices: (A) 1.2 hrs (B) 1.8 hrs (C) 2.4 hrs (D) 3.0 hrs (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explan... | 63,527 |
<|im_start|>user
Which of the following is closest to the difference between sum Z of all proper fractions (fractions less than 1) in the form 1/x , where x is a positive digit, and the product of all proper fractions in the form y/(y+1), where y is a positive digit?
Answer Choices: (A) 2.82 (B) 2.72 (C) 1.82 (D) 1.72 ... | 55,872 |
<|im_start|>user
What can be thought of as the most biologically productive regions on earth?
Answer choice: (A) swamps (B) forests (C) coasts (D) estuaries<|im_end|>
<|im_start|>assistant
<think>
</think>
An estuary is a partly enclosed coastal body of water with one or more rivers or streams flowing into it, and wi... | 8,744 |
<|im_start|>user
An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
Answer Choices: (A) 16 2/6% (B) 16 9/3% (C) 19 2/9% (D) 16 2/3% (E) 16 7/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
600 ---- 100
100 ---- ? => 16 2/3%
The answer is D<|endoftext|> | 79,796 |
<|im_start|>user
On the average Mr.Jackson has 2 hours to plan for an long hour meeting he talk to his assistant 7 hours to prepare the paper work needed.How much hours should jackson and assistant has t plan for 30 min meeting?
Answer Choices: (A) 4.5 hr (B) 4.8 hr (C) 4.9 hr (D) 5.5 hr (E) 6.5 hr<|im_end|>
<|im_start... | 22,408 |
<|im_start|>user
Two trains start at same time from two stations and proceed towards each other at the rate of 20 km/hr and 25 km/hr respectively. When they meet, it is found that one train has traveled 75 km more than the other. What is the distance between the two stations?
Answer Choices: (A) 540 km (B) 675 km (C) 2... | 55,907 |
<|im_start|>user
A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 80 days, then together ,all will finish the work in :
Answer Choices: (A) 13 1/3 days (B) 16 days (C) 15 days (D) 20 days (E) 30 days<|im_end|>
<|im_start|>assistant
<think>
</think>
C alo... | 24,435 |
<|im_start|>user
A tadpole turns into what land mammal?
Answer choice: (A) a morph (B) a frog (C) A tortoise. (D) a pod<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 2,021 |
<|im_start|>user
If n is an integer greater than 7, which of the following must be divisible by 3?
Answer Choices: (A) 1. n (n+1) (n-4) (B) 2. n (n+2) (n-1) (C) 3. n (n+3) (n-5) (D) 4. n (n+4) (n-2) (E) 5. n (n+5) (n-6) <|im_end|>
<|im_start|>assistant
<think>
</think>
We need to find out the number which is... | 50,013 |
<|im_start|>user
What is the number of integers from 11 to 1010 (inclusive) that are divisible by neither 12 nor by 15?
Answer Choices: (A) 565 (B) 856 (C) 783 (D) 590 (E) 300<|im_end|>
<|im_start|>assistant
<think>
</think>
In 1000 consecutive numbers, number of multiples of 12 = 1000/12 = 83 (Ignore decimals)
In 10... | 32,868 |
<|im_start|>user
A trader has 30 kg of rice, a part of which he sells at 14% profit and rest at 6% loss. On the whole his loss is 4% . What is the quantity sold at 14% profit and that at 6% loss?
Answer Choices: (A) 3 and 27 kg (B) 10 and 40 kg (C) 15 and 27 kg (D) 20 and 30 kg (E) 40 and 30 kg<|im_end|>
<|im_start|>as... | 918 |
<|im_start|>user
Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store's revenues from newspapers sales was from Newspaper A and if q percent of the newspapers that the store sold were co... | 69,931 |
<|im_start|>user
Money invested at x%, compounded annually, triples in value in approximately every 112/x years. If $1500 is invested at a rate of 8%, compounded annually, what will be its approximate worth in 28 years?
Answer Choices: (A) $3,750 (B) $5,600 (C) $13,500 (D) $15,000 (E) $22,500<|im_end|>
<|im_start|>assi... | 64,464 |
<|im_start|>user
Tough and Tricky questions: Distance/Rate.
On a reconnaissance mission, a state-of-the-art nuclear powered submarine traveled 300 miles to reposition itself in the proximity of an aircraft carrier. This journey would have taken 1.5 hour less if the submarine had traveled 10 miles per hour faster. What ... | 86,058 |
<|im_start|>user
A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 21m/h. what is the speedof the person while he was going to his office?
Answer Choices: (A) 8km/h (B) 10km/h (C) 12km/h (D) 13km/h (E) 14km/h<|im_end|>
<|im_start|>assistant
... | 46,289 |
<|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, and it always ends with a period.
The nurse told Mr. Abrams to roll up his sleeve so that she could check his blood pressure.
An interrogative sentenc... | 4,723 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Chemical changes and physical changes are two common ways matter can change.
In a chemical change, the type of matter changes. The types of matter before and after a chemical change are always different.
Some chemical change... | 3,982 |
<|im_start|>user
During a given week A programer spends 1/4 of his time
preparing flow chart, 3/8 of his time coding and the rest of
the time in debugging the programs. If he works 48 hours
during the week , how many hours did he spend debugging the
program.
Answer Choices: (A) 15 hours (B) 16 hours (C) 17 hours (D) 18... | 97,063 |
<|im_start|>user
Sari and Ken climb up a mountain. At night, they camp together. On the day they are supposed to reach the summit, Sari wakes up at 05:00 and starts climbing at a constant pace. Ken starts climbing only at 07:00, when Sari is already 700 meters ahead of him. Nevertheless, Ken climbs at a constant pace o... | 68,700 |
<|im_start|>user
In how many ways can the letters D, I, T , K , T be arranged so that the two I's are not next to each other?
Answer Choices: (A) 36 (B) 48 (C) 72 (D) 96 (E) 128<|im_end|>
<|im_start|>assistant
<think>
</think>
1 D
1 I
1 G
2 T
Number of ways these letters can be arranged = 5!/2! (2! to account 2 same ... | 26,261 |
<|im_start|>user
The median annual household income in a certain community of 21 households is $50,000. If the mean income of a household increases by 10% per year over the next 2 years, what will the median M income in the community be in 2 years?
Answer Choices: (A) $50,000 (B) $60,000 (C) $60,500 (D) $65,000 (E)... | 65,477 |
<|im_start|>user
Chemical reactions always involve what?
Answer choice: (A) fuel (B) heating (C) energy (D) physical change<|im_end|>
<|im_start|>assistant
<think>
</think>
Chemical reactions always involve energy. Energy is a property of matter that is defined as the ability to do work. When methane burns, for examp... | 3,276 |
<|im_start|>user
Number of ways in which the letters of word PARTE can be arranged with vowels in alphabetical order, is
Answer Choices: (A) 360 (B) 240 (C) 120 (D) 480 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Order of vowels of fixed
∴ required number of ways are 5!/2!.
The answer is E<|end... | 36,490 |
<|im_start|>user
Three candidates contested an election and received 561, 716 and 1111votes respectively. What percentage of the total votes did the winning candidate got?
Answer Choices: (A) 46% (B) 35% (C) 50% (D) 25% (E) 62%<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of votes polled = (561 + 716... | 3,231 |
<|im_start|>user
A reduction of 21% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Answer Choices: (A) s.2.66 (B) s.2.4 (C) s.2.5 (D) s.2.2 (E) s.2.1<|im_end|>
<|im_start|>assistant
<think>
</think>
100*(21/100) = 21 --- 10
? --- 1 => Rs.2.1
100 --- 79
? --- 2.1 =... | 36,683 |
<|im_start|>user
A certain auto manufacturer sold 5% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
Answer Choices: (A) 63,000 (B) 2,000,000 (C) 2,030,000 (D) 2,040,000 (E) 2,300,000<|im_end|>
<|im_... | 89,241 |
<|im_start|>user
If -2 and -3 are negative integers, then -2*-3 + 2 is
Answer Choices: (A) -5 (B) 8 (C) -6 (D) -3 (E) -8<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 24,318 |
<|im_start|>user
How many four digit numbers divisible by 4 can be made with digits 1, 2, 3, 4, 5 if the repetition of digits is not allowed?
Answer Choices: (A) 10 (B) 20 (C) 30 (D) 40 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
A number is divisible by 4 if the last 2 numbers are divisible by 4 (divisib... | 92,466 |
<|im_start|>user
A man walks from B to C, a distance of x miles, at 15 miles per hour and returns at 12 miles per hour. What is his average speed?
Answer Choices: (A) 10 mph (B) 13 mph (C) 12 mph (D) 13.3 mph (E) 14 mph<|im_end|>
<|im_start|>assistant
<think>
</think>
Total distance covered = 2x
Time taken12miles / h... | 91,320 |
<|im_start|>user
Total Rs.700 are divided among 3 persons (A, B, and C). A gets 1/2 of B and B gets 1/2 of C. How much C have?
Answer Choices: (A) 300 (B) 400 (C) 500 (D) 600 (E) 700<|im_end|>
<|im_start|>assistant
<think>
</think>
A gets 100 Rs.
B gets 200 Rs.
C gets 400 Rs.
A=B/2
B=c/2
A+B+C=700
(B/2)+B+(2B)=700
B=... | 2,920 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A force is a push or a pull.
A force can make an object start moving or stop an object that is moving. A force can also make an object speed up, slow down, or change direction.
Forces can be different sizes.
Think about tryi... | 2,093 |
<|im_start|>user
We bought a total of 80 books at the store. Math books cost $4 and history books cost $5. The total price was $373. How many math books did we buy?
Answer Choices: (A) 23 (B) 27 (C) 31 (D) 35 (E) 39<|im_end|>
<|im_start|>assistant
<think>
</think>
M + H = 80
H = 80 - M
4M + 5H = 373
4M + 5*(80 - M) =... | 94,313 |
<|im_start|>user
The level of carbon dioxide in the atmosphere is greatly influenced by the reservoir of carbon where?
Answer choice: (A) before the oceans (B) in the earth (C) in the oceans (D) after the oceans<|im_end|>
<|im_start|>assistant
<think>
</think>
As stated, the atmosphere is a major reservoir of carbon ... | 10,799 |
<|im_start|>user
A person traveled from P to Q at a speed of 40km/hr and return by increasing his speed by 50km/hr. What is his average speed for both the trips?
Answer Choices: (A) 30km/hr (B) 50km/hr (C) 55km/hr (D) 48km/hr (E) 60km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed on return trip = 150% of ... | 58,072 |
<|im_start|>user
A certain culture of bacteria quadruples every hour. If a container with these bacteria was half full at 11:00 a.m., at what time was it one-eighth full?
Answer Choices: (A) 10:00 a.m. (B) 7:00 a.m. (C) 6:00 a.m. (D) 4:00 a.m. (E) 2:00 a.m.<|im_end|>
<|im_start|>assistant
<think>
</think>
To go from ... | 72,721 |
<|im_start|>user
A is twice efficient as B and together they do the same work in as much time as C and D together. If C and D can complete the work in 20 and 30 daysrespectively, working alone ,then in how many days A can complete the work individually:
Answer Choices: (A) 12 days (B) 18 days (C) 24 days (D) 30 days (E... | 17,907 |
<|im_start|>user
Molecules with a carboxyl group are called what?
Answer choice: (A) acetic acids (B) catalyzed acids (C) carboxylic acids (D) Fatty acids<|im_end|>
<|im_start|>assistant
<think>
</think>
Molecules with a carboxyl group are called carboxylic acids. As with aldehydes, the functional group in carboxylic... | 1,090 |
<|im_start|>user
A trader sold an article on a certain price with 20% profit. If he sold double of previous selling price then find its profit %
Answer Choices: (A) 140% (B) 120% (C) 100% (D) 90% (E) 80%<|im_end|>
<|im_start|>assistant
<think>
</think>
let cost price = 100%
selling price = 120%
new s.p. = 240%
p% = 2... | 844 |
<|im_start|>user
A store owner wants to mix cashews and almonds. Cashews cost 2 dollars per pound and almonds cost 5 dollars per pound. He plans to sell 150 pounds of a mixture. How many pounds of each type of nuts should be mixed if the mixture will cost 3 dollars?
Answer Choices: (A) 30 (B) 40 (C) 50 (D) 60 (E) 70<|i... | 55,134 |
<|im_start|>user
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 360 m long platform?
Answer Choices: (A) 19 (B) 27 (C) 29 (D) 48 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the train be x m.
When a train crosses an electric ... | 84,692 |
<|im_start|>user
A can run 3 Kms in 3 min 18 sec and B can run same distance in 3 min 40 sec, then by how much distance A can beat B?
Answer Choices: (A) 300 m (B) 220 m (C) 280 m (D) 195 m (E) 295 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Distance travelled=3000m
Time taken by A=3 m 18 s
Time taken by B=3 m... | 30,277 |
<|im_start|>user
In how many years, Rs. 200 will produce the same interest at 6% as Rs. 800 produce in 2 years at 4½% ?
Answer Choices: (A) 4 years (B) 6 years (C) 8 years (D) 9 years (E) 12 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Let Simple Interest for Rs.200 at 6% for n years = Simple ... | 9,050 |
<|im_start|>user
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Answer Choices: (A) 7% (B) 4% (C) 2% (D) 1% (E) 8%<|im_end|>
<|im_start|>assistant
<think>
</think>
65*(90/100)*((100-x)/100) = 56.16
x = 4%
The... | 50,957 |
<|im_start|>user
The difference between the place value and the face value of 9 in the numeral 856973 is
Answer Choices: (A) 973 (B) 891 (C) 5994 (D) 6084 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
(Place value of 9) - (Face value of 9) = (900 - 9) = 891
The answer is B<|endoftext|> | 16,152 |
<|im_start|>user
One week, a certain truck rental lot had a total of 20 trucks, all of which were on the lot Monday morning. If 50% of the trucks that were rented out during the week were returned to the lot on or before Saturday morning of that week, and if there were at least 16 trucks on the lot that Saturday mornin... | 71,649 |
<|im_start|>user
Siddharth wants to borrow Rs.8000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?
Answer Choices: (A) s.28.80 (B) s.21.29 (C) s.22.29 (D) s.21.26 (E) s.21.12<|im_end|>
<|im_start|>assistant
<th... | 30,025 |
<|im_start|>user
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 2 min, then the length of the tunnel is?
Answer Choices: (A) 2898 (B) 1800 (C) 500 (D) 297 (E) 435<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 78 * 5/18 = 65/3 m/sec.
Time = 2 min = 120 sec.
Let the length of... | 38,334 |
<|im_start|>user
An empty pool being filled with water at a constant rate takes 8hours to fill to 2/5 of its capacity.how much more time will it take to finish filling the pool?
Answer Choices: (A) 5hr 30min (B) 5hr 20min (C) 4hr 48min (D) 3 hr 12min (E) 2hr 40 min<|im_end|>
<|im_start|>assistant
<think>
</think>
As ... | 29,074 |
<|im_start|>user
What will come in place of the x in the following number series? 1, 4, 10, 22, 46, x
Answer Choices: (A) 84 (B) 92 (C) 94 (D) 98 (E) 104<|im_end|>
<|im_start|>assistant
<think>
</think>
1
1 × 2 + 2 = 4
4 × 2 + 2 = 10
10 × 2 + 2 = 22
22 × 2 + 2 = 46
46 × 2 + 2 = 94 C
The answer is C<|endoftext|> | 45,842 |
<|im_start|>user
Deserts and forests are examples of what type of biome?
Answer choice: (A) abundant (B) terrestrial (C) freshwater (D) acquatic<|im_end|>
<|im_start|>assistant
<think>
</think>
Terrestrial biomes , which are land-based, such as deserts and forests.
The answer is B<|endoftext|> | 7,200 |
<|im_start|>user
Current ages of Rahim and Thomas are in the ratio of 5 : 4 correspondingly. 0.3 decades hence, the ratio of their ages will become 11 : 9 correspondingly, What is Thomas’s current age in years?
Answer Choices: (A) 24 years (B) 44 years (C) 34 years (D) 64 years (E) 84 years<|im_end|>
<|im_start|>assist... | 49,141 |
<|im_start|>user
What is the difference between the place value and face value of 2 in the numeral 2578?
Answer Choices: (A) 2000 (B) 2002 (C) 1998 (D) 1990 (E) 1910<|im_end|>
<|im_start|>assistant
<think>
</think>
Difference between the place value and face value of 2 = 2000-2 = 1998
The answer is C<|endoftext|> | 43,079 |
<|im_start|>user
A machine P completes a certain amount of work in 12 hrs and machine Q completes the same work in x hrs if both machines works together to complete the same work in 8 hrs then what is x?
Answer Choices: (A) 12 hrs (B) 18 hrs (C) 24 hrs (D) 32 hrs (E) 34 hrs<|im_end|>
<|im_start|>assistant
<think>
</th... | 641 |
<|im_start|>user
A tank can supply water to a village for 80 days. If a leak at the bottom of the tank drains out 10 liters per day, the supply lasts for 60 days only. For how many days will the supply last if the leak drains out 20 liters per day?
Answer Choices: (A) 42 (B) 45 (C) 48 (D) 50 (E) 55<|im_end|>
<|im_start... | 63,245 |
<|im_start|>user
The sum of squares of two numbers is 80 and the square of their difference is 36. The product of the two numbers is.
Answer Choices: (A) 22 (B) 44 (C) 58 (D) 116 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Let the numbers be x and y . Then
x2+y2=80 and (x−y)2=36
(x−y)2=36⇒... | 89,158 |
<|im_start|>user
Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?
Answer Choices: (A) 39 (B) 23 (C) 20 (D) 27 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
1/x ... | 52,448 |
<|im_start|>user
When positive integer N is divided by positive integer J, the remainder is 16. If N/J = 134.08, what is value of J?
Answer Choices: (A) 22 (B) 56 (C) 78 (D) 112 (E) 200<|im_end|>
<|im_start|>assistant
<think>
</think>
When a number is divided by another number, we can represent it as : Dividend = Quo... | 80,680 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Before you decide to do something, it is often helpful to list costs and benefits.
Costs are what you give up or spend when you decide to do something. Costs involve giving up things that you want or need.
Benefits are what ... | 680 |
<|im_start|>user
What is the largest organelle in a eukaryotic cell?
Answer choice: (A) nucleus (B) ribosome (C) vacuole (D) mitochondria<|im_end|>
<|im_start|>assistant
<think>
</think>
The nucleus is the largest organelle in a eukaryotic cell. It contains most of the cell’s DNA. DNA, in turn, contains the genetic c... | 2,611 |
<|im_start|>user
A freight elevator can carry a maximum load of 1140 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... | 74,051 |
<|im_start|>user
What do you call the physical environment in which a species lives and to which it is adapted?
Answer choice: (A) habitat (B) domain (C) environment (D) ecosystem<|im_end|>
<|im_start|>assistant
<think>
</think>
An ecosystem consists of all the biotic and abiotic factors in an area and their interact... | 1,064 |
<|im_start|>user
If A lends Rs. 3500 to B at 10% p.a. and B lends the same sum to C at 11.5% p.a., then the gain of B (in Rs.) in a period of 3 years is
Answer Choices: (A) Rs. 154.50 (B) Rs. 155.50 (C) Rs. 156.50 (D) Rs. 157.50 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
We need t... | 13,884 |
<|im_start|>user
What should come in place of the question mark (?) in the following equation?
45789+ 34567 = 610+ ?
Answer Choices: (A) 96543 (B) 13678 (C) 23456 (D) 56789 (E) 79746<|im_end|>
<|im_start|>assistant
<think>
</think>
45789+ 34567 = 610+ ?
45789+ 34567 – 610 = 79746
The answer is E<|endoftext|> | 22,855 |
<|im_start|>user
The planet neptune has strange dark spots that sometimes appear on its surface? what are these spots?
Answer choice: (A) seas (B) earthquakes (C) storms (D) black holes<|im_end|>
<|im_start|>assistant
<think>
</think>
Neptune is very cold and has very strong winds. It had a large dark spot that disa... | 7,904 |
<|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... | 871 |
<|im_start|>user
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 38 per kg. His profit percent is:
Answer Choices: (A) No profit, no loss (B) 5% (C) 33% (D) 10% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanatio... | 30,853 |
<|im_start|>user
On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Number=56x+29 (∵ since the number gives 29 as remainder on dividing by 56)
=(7×8×x)+(3×8)+5... | 61,446 |
<|im_start|>user
If 7 gallons of gasoline are added to a tank that is already filled to 3/4 of its capacity, the tank is then filled to 9/10 of its capacity. How many gallons does the tank hold?
Answer Choices: (A) 20 (B) 24 (C) 36 (D) 42 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the Capacity o... | 56,994 |
<|im_start|>user
Evaluate permutation
5P5
Answer Choices: (A) 120 (B) 110 (C) 98 (D) 24 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
nPn=n!
5P5=5∗4∗3∗2∗1=120
Option A
The answer is A<|endoftext|> | 89,388 |
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