text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
On average, Machine A will produce a completed item once every two minutes, and Machine B will produce a completed item once every eleven minutes. The number of items Machine A produces in a 24-hour period is approximately what percent greater than the number of items Machine B would produce in that sa... | 73,248 |
<|im_start|>user
While house hunting in London, I came across a very good leasehold property Discussing the lease the landlady told me:
The property was originally on a 99 years lease and two-thirds of the time passed is equal to four-fifths of the time to come. Now work it out for yourself and see how many years are t... | 9,094 |
<|im_start|>user
It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
Answer Choices: (A) (2^96 + 1) (B) (2^16 + 1) (C) (2^95 + 1) (D) (2^95 - 1) (E) (2^75 + 1) <|im_end|>
<|im_start|>assistant
<think>
</think>
Let 232 =... | 13,714 |
<|im_start|>user
If a function f is defined by f(x)= (2x-1)/3 for all non zero numbers x. If f(a) = 1 and f(ab) = 1/9 then b= ?
Answer Choices: (A) 3 (B) 1/3 (C) -1/3 (D) -3 (E) -12<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that f(x)= (2x-1)/3 and f(a) = 1, then f(a) =(2a-1)/3=1 ===> a=2, then backsolve ... | 76,166 |
<|im_start|>user
A third of Arun’s marks in mathematics exceed a half of his marks in English by 20.If he got 360 marks in two subjects together how many marks did he got in English?
Answer Choices: (A) 120,60 (B) 240,120 (C) 280,90 (D) 220,140 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
Let A... | 91,847 |
<|im_start|>user
If we multiply the digits of a number until we get a single digit, then which is the only two digit number which require multiplication of digits more than 3 times?
Answer Choices: (A) 77 (B) 67 (C) 87 (D) 97 (E) 57<|im_end|>
<|im_start|>assistant
<think>
</think>
77 =7*7 =49
49 =4*9 =36
36 =3*6 =18
... | 52,465 |
<|im_start|>user
The letters of the word 'SURATI' are written in all possible orders and these words are written in alphabetical order. Then what is the rank of the word 'SURITI'
Answer Choices: (A) - 236 (B) - 245 (C) - 307 (D) - 415 (E) - 275<|im_end|>
<|im_start|>assistant
<think>
</think>
Total Number of Words = ... | 18,717 |
<|im_start|>user
What is used to measure air pressure?
Answer choice: (A) metrometer (B) indicator (C) thermometer (D) barometer<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 2,942 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down from biological parents to their offspring through genes. Gen... | 2,999 |
<|im_start|>user
Last year the price per share of Stock N increased by p percent and the earnings per share of Stock N increased by q percent, where p is greater than q. By what percent did the ratio of price per share to earnings per share increase, in terms of p and q?
Answer Choices: (A) (p-q) /(100+q) % (B) (100+q... | 78,519 |
<|im_start|>user
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Answer Choices: (A) 297 (B) 269 (C) 240 (D) 258 (E) 298<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = [54 * 5/18] m/s... | 75,349 |
<|im_start|>user
A certain quantity of 60% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?
Answer Choices: (A) 1/4 (B) 1/3 (C) 1/2 (D) 2/3 (E) 5/7<|im_end|>
<|im_start|>assistant
<think>
</think>
Let's say that the total original m... | 92,099 |
<|im_start|>user
What number should replace the question mark? 5, 24, 11, 20, 17, 16, ---?
Answer Choices: (A) 20 (B) 23 (C) 22 (D) 21 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer: B
5, 24, 11, 20, 17, 16, 23?
There are two alternate sequences: +6 and -4.
The answer is B<|endoftext|> | 76,410 |
<|im_start|>user
here are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
Answer Choices: (A) 2300 (B) 4500 (C) 1200 (D) 5200 (E) 1800<|im_end|>
<|im_start|>assistant
<think>
</think>
5 subjects can be arranged in 6 periods... | 72,058 |
<|im_start|>user
If the integer n leaves a remainder of 4 when divided by 5, then what is the largest possible
remainder when 2n is divided by 15?
Answer Choices: (A) 10 (B) 11 (C) 12 (D) 13 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Since n leaves a remainder of 4 when divided by 5, it leaves a remainde... | 18,769 |
<|im_start|>user
When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 4 times, what is the probability that it will land on the same side each time?
Answer Choices: (A) 1/8 (B) 1/4 (C) 1/16 (D) 1/2 (E) 1/32<|im_end|>
<|im_start|>assistant
<think>
</think>
Must be either 4... | 64,555 |
<|im_start|>user
Memory t cells are long-lived and can even persist for how long?
Answer choice: (A) eons (B) days (C) minutes (D) lifetime<|im_end|>
<|im_start|>assistant
<think>
</think>
The Cellular Basis of Immunological Memory As already discussed, one of the major features of an adaptive immune response is the ... | 10,656 |
<|im_start|>user
Diarrhea due to food poisoning is an example of a problem involving what organ system?
Answer choice: (A) lung system (B) skeletal system (C) digestive system (D) muscular system<|im_end|>
<|im_start|>assistant
<think>
</think>
Much of the time, you probably aren’t aware of your digestive system. It ... | 6,581 |
<|im_start|>user
What is the remainder when 17^200 is divided by 18 ?
Answer Choices: (A) 3 (B) 1 (C) 2 (D) 4 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
(17^200 - 1^200) is completely divisible by (17 + 1) as 200 is even.
=> (17^200 - 1) is completely divisible by 18.
Hence, when 17^200 is divided by 18, ... | 95,811 |
<|im_start|>user
In the seaside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
Answer Choices: (A) 50. (B) 45. (... | 16,108 |
<|im_start|>user
There are some students in a school.The 1/2 of number of students is a whole number. The 1/6 of number of students is a whole number. The 1/5 of number of students is a whole number. The 1/7 of number of students is a whole number.Find the number of students.
Answer Choices: (A) 200 (B) 210 (C) 220 (D)... | 87,346 |
<|im_start|>user
If |x - 8| = x, then x=?
Answer Choices: (A) 8 (B) 4 (C) -4 (D) 0 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
|x - 8| = x ...(given)
x^2 - 16x + 64 = x^2
0*x^2 + 16*x -64 = 0 ....(by solving above eq. we get) , x = 4 ===>
The answer is B<|endoftext|> | 23,087 |
<|im_start|>user
At a certain university, the ratio of the number of teaching assistants to the number of students in any course must always be greater than 3:85. At this university, what is the maximum number of students possible in a course that has 5 teaching assistants?
Answer Choices: (A) 140 (B) 141 (C) 142 (D) 1... | 15,828 |
<|im_start|>user
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Answer Choices: (A) 16 (B) 11 (C) 36 (D) 17 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Spe... | 14,360 |
<|im_start|>user
A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?
Answer Choices: (A) 40 minutes (B) 1 hour (C) 1 hr 15 min (D) 1 hr 30 min (E) 1 hr 40 min<|im_end|>
<|im_start|>assistant
<think>
</think... | 78,596 |
<|im_start|>user
3.5 can be expressed in terms of percentage as?
Answer Choices: (A) 0.35% (B) 3.5% (C) 35% (D) 350% (E) 450%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
3.5 = 35/10 = (35/10 * 100) = 350%
The answer is D<|endoftext|> | 28,070 |
<|im_start|>user
The mantissa of log 3274 is 0.5150. The value of log(0.3274) is
Answer Choices: (A) 1.5150 (B) 1.5150 (C) 2.515 (D) None of these (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Since, 0.3274 gives characteristic 1. Therefore value of log (0.3274) = 1.5150.
The answ... | 73,743 |
<|im_start|>user
A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
Answer Choices: (A) 145 (B) 253 (C) 370 (D) 352 (E) 300<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
L... | 82,931 |
<|im_start|>user
If the annual increase in the population of a town is 10% and the present number of people is 13000, what will the population be in 2 years?
Answer Choices: (A) 15730 (B) 15240 (C) 12456 (D) 11452 (E) 10002<|im_end|>
<|im_start|>assistant
<think>
</think>
The required population is = 13000 (1 + 10/10... | 50,778 |
<|im_start|>user
Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?
Answer Choices: (A) 2 kg (B) 2.5 kg (C) 2.4 kg (D) None of these (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
Ex... | 20,430 |
<|im_start|>user
What is value of ((2^5)*(9^2))/((8^2)*(3^5))=?
Answer Choices: (A) 1/6 (B) 1/3 (C) 2/3 (D) 1/4 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
=>((2^5)*((3^2)^2)/((2^3)^2)*(3^5))
=>((2^5)*(3^4))/((2^6)*(3^5))
=>1/(2*3)
=>1/6
Option A is
The answer is A<|endoftext|> | 42,043 |
<|im_start|>user
Kim has 6 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 12 shoes, what is the probability that she will select 2 shoes of the same color?
Answer Choices: (A) 2/5 (B) 1/5 (C) 1/9 (D) 1/11 (E) 1/25<|im_end|>
<|im_start|>assistant
<think>
</t... | 31,068 |
<|im_start|>user
X and Y start a business with Rs.2000 and Rs.12000 respectively. Hoe should they share their profits at the end of one year?
Answer Choices: (A) 1:6 (B) 6:1 (C) 1:5 (D) 5:1 (E) 1:4<|im_end|>
<|im_start|>assistant
<think>
</think>
They should share the profits in the ratio of their investments.
The ra... | 60,521 |
<|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... | 4,294 |
<|im_start|>user
Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages
Answer Choices: (A) 65 years (B) 35 years (C) 55 years (D) 44 years (E) 11 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let A's age 10 years ago = x years.
Then, B... | 8,193 |
<|im_start|>user
Kim is taking a math class, and the teacher gives a multiple choice test consisting of 7 questions. If each question has 5 answer choices, and Kim answers every question, in how many different ways can she complete the test?
Answer Choices: (A) a 40 (B) b 400 (C) c 5^8 (D) d 8^5 (E) e 5^7<|im_end|>
<|i... | 36,706 |
<|im_start|>user
A palindrome is a number that reads the same forward and backward, such as 464. How many odd five-digit numbers are palindromes?
Answer Choices: (A) 40 (B) 400 (C) 500 (D) 5,000 (E) 100,000<|im_end|>
<|im_start|>assistant
<think>
</think>
5th digit 1,3,5,7,9
4th digit 0 through 9
3rd digit 0 through ... | 18,861 |
<|im_start|>user
If an atom gains electrons, it becomes what?
Answer choice: (A) anion (B) an ion (C) a cation (D) neutral<|im_end|>
<|im_start|>assistant
<think>
</think>
If an atom gains electrons, it becomes an ion. Is the ion positively or negatively charged? Explain your answer.
The answer is B<|endoftext|> | 10,933 |
<|im_start|>user
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
Answer Choices: (A) 22887 (B) 2778 (C) 2797 (D) 8112 (E) 1712<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
A = 7500(26/25)2 = 8112
The answer is D<|endoftext|> | 46,950 |
<|im_start|>user
Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Answer Choices: (A) 22 sec (B) 77 sec (C) 76 sec (D) 20 sec (E) 66 sec<|im_end|>
<|im_start|>assistant
<thi... | 70,164 |
<|im_start|>user
Over a three-week period, the price of an ounce of gold increased by 10% in the first week, decreased by 20% in the following week, and increased by 30% in the third week. If the price of gold was G dollars per ounce at the beginning of the three weeks, what was the price at the end of the three weeks?... | 77,115 |
<|im_start|>user
If the height of a right cone C is 3 and the diameter of the base of C is 8, what is the distance from the apex of C to any point on the circumference of the base of C?
Answer Choices: (A) 3√2 (B) 5 (C) 5√2 (D) √(67) (E) √(73) <|im_end|>
<|im_start|>assistant
<think>
</think>
height of cone=3
radius... | 58,901 |
<|im_start|>user
In how many different number of ways 4 boys and 2 girls can sit on a bench such that girls always sit together.
Answer Choices: (A) A) 720 (B) B) 240 (C) C) 740 (D) D) 780 (E) E) 790<|im_end|>
<|im_start|>assistant
<think>
</think>
240
Option 'B'
The answer is B<|endoftext|> | 22,279 |
<|im_start|>user
If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing thesame no. by 31
Answer Choices: (A) 2 (B) 4 (C) 5 (D) 6 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
P ÷ 44 = 432
=> P = 432 * 44 = 19008
P / 31 = 19008 / 31 = 613, remainder = ... | 70,626 |
<|im_start|>user
A candidate got 35% of the votes and lost to the rival by 1650 votes. How many votes were cast?
Answer Choices: (A) 5000 (B) 5500 (C) 6000 (D) 6500 (E) 7000<|im_end|>
<|im_start|>assistant
<think>
</think>
35%-----------L
65%-----------W
------------------
30% = 1650
10% = 550
100% of the votes = 550... | 63,598 |
<|im_start|>user
I. j; k; m; n; p
II. j - 10; m; m; m; p + 15
III. j + 2; k + 1; m; n - 1; p - 2
If j, k, m, n, and p are consecutive positive integers such that j < k < m < n < p, the data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation T in which of the following?
An... | 2,583 |
<|im_start|>user
A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Answer Choices: (A) 18:11 (B) 18:18 (C) 18:22 (D) 18:39 (E) 18:39<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
A invests R... | 7,541 |
<|im_start|>user
If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in
Answer Choices: (A) 3 days (B) 4 days (C) 5 days (D) 6 days (E) 7 days<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer: Option 'A'
That is, 1 person can do one time of the work in 3 days... | 93,713 |
<|im_start|>user
Find the 21th term of an arithmetic progression whose first term is 3 and the common difference is 5.
Answer Choices: (A) 100 (B) 102 (C) 103 (D) 150 (E) 46<|im_end|>
<|im_start|>assistant
<think>
</think>
n th term of A.P = a +(n-1) *d
= 3+(21-1)*5 , = 3 + 100 = 103.
The answer is C<|endoftext|> | 30,051 |
<|im_start|>user
A woman has three blouses of different colors, four skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?
Answer Choices: (A) 8 (B) 12 (C) 22 (D) 17 (E) 18<|im_end|>
<|im_s... | 52,530 |
<|im_start|>user
Julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $120 and $124 from the simple interest account and the compound interest account respectively. If the interest rates for... | 47,060 |
<|im_start|>user
Working together at their respective constant rates, Machine A and Machine B can produce 900 units in 8 hours. Working alone, Machine B would complete that same output in 50% more time. If Machine A were to work on its own for an 8-hour shift, what percent of the 900 unit total would it produce?
Answer... | 95,317 |
<|im_start|>user
What is the unit digit in 15^100?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Unit digit in 15^100 = unit digit in [(15^4)^25 ]
But unit digit in 15^4=5
unit digit 15^100= 5
The answer is E<|endoftext|> | 43,062 |
<|im_start|>user
The average expenditure of a labourer for 6 months was 95 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income i
Answer Choices: (A) 70 (B) 72 (C) 75 (D) 78 (E) 84<|im_end|>
<|im_start|>assistant
<think... | 83,467 |
<|im_start|>user
A certain store sells only black shoes and brown shoes. In a certain week, the store sold x black shoes and y brown shoes. If 2/7 of all shoes sold that week were black, which of the following expressions represents the value of y, in terms of x?
Answer Choices: (A) x/3 (B) 5x/2 (C) 2x/3 (D) 3x/2 (E) 2... | 921 |
<|im_start|>user
A man sells a horse for Rs.680 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Answer Choices: (A) 287 (B) 679 (C) 780 (D) 860 (E) 898<|im_end|>
<|im_start|>assistant
<think>
</think>
CP = SP + 1CP = SP - g
680 + x ... | 68,733 |
<|im_start|>user
When a random experiment is conducted, the probability that event A occurs is 1/5. If the random experiment is conducted 4 independent times, what is the probability that event A occurs exactly twice?
Answer Choices: (A) 16/625 (B) 56/625 (C) 96/625 (D) 126/625 (E) 156/625<|im_end|>
<|im_start|>assista... | 63,944 |
<|im_start|>user
What will be the compound interest on a sum of Rs. 15000 after 3 years at the rate of 12% p.a.?
Answer Choices: (A) s.10123.22 (B) s.5823.20 (C) s.9123.20 (D) s.7256.20 (E) s.6073.92<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Amount = [15000 * (1 + 12/100)3]
= 15000 * 28/25 * 28/25... | 52,182 |
<|im_start|>user
In 2003 there are 28 days in February and 365 days in a year in 2004 there are 29 days in February and 366 days in the year. If the date march 11 2003 is Tuesday, then which one of the following would the date march 11 2004 would be?
Answer Choices: (A) 27 (B) 35 (C) 56 (D) 2 (E) 11<|im_end|>
<|im_star... | 56,067 |
<|im_start|>user
If K is the sum of reciprocals of the consecutive integers from 33 to 38, inclusive, then K is closest in value to which of the following?
Answer Choices: (A) 1/12 (B) 1/10 (C) 1/8 (D) 1/7 (E) 1/4<|im_end|>
<|im_start|>assistant
<think>
</think>
1/33 , 1/34 , 1/35 , 1/36 , 1/37 , 1/38
Hypothetically ... | 12,756 |
<|im_start|>user
Kamal obtained 76, 60, 72, 65 and 82 marks(out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Answer Choices: (A) 71 (B) 69 (C) 72 (D) 75 (E) NOne<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Average
= 76 + 60 + 72 + 65 + 82 / 5)
= (355 / 5)
= 71... | 50,495 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
Temperature can be written with units of degrees Fahrenheit (°F) or Celsius (°C). Use the list be... | 2,393 |
<|im_start|>user
If it takes 6 identical printing presses exactly 4 hours E 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|>
<|... | 84,995 |
<|im_start|>user
Anand and Deepak started a business investing Rs. 1500 and Rs. 2000 respectively. Out of a total profit of Rs. 1300, Deepak's share is:
Answer Choices: (A) 1776.25 (B) 2687 (C) 8400 (D) 1688.12 (E) 1714.28<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio of their shares = 1500 : 2000= 3:4
Deepa... | 90,344 |
<|im_start|>user
A rectangular lawn 55m by 35m has two roads each 4m wide running in the middle of it. One parallel to the length and the other parallel to breadth. The cost of graveling the roads at 75 paise per sq meter is
Answer Choices: (A) 378 (B) 278 (C) 258 (D) 287 (E) 271<|im_end|>
<|im_start|>assistant
<think>... | 1,876 |
<|im_start|>user
The average of the first five prime numbers greater than 20 is:
Answer Choices: (A) 32.2 (B) 32.22 (C) 31.22 (D) 32.27 (E) 32.28<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Required prime numbers are 23, 29, 31, 37, 4.
Average will be (23 + 29 + 31 + 37 + 41)/5 = 32.20
The answer is... | 44,414 |
<|im_start|>user
The diagonals of a rhombus are 14 cm and 20 cm. Find its area?
Answer Choices: (A) 329 (B) 140 (C) 150 (D) 238 (E) 31<|im_end|>
<|im_start|>assistant
<think>
</think>
1/2 * 14 * 20 = 140
The answer is B<|endoftext|> | 39,277 |
<|im_start|>user
What are indestructible and constantly in motion?
Answer choice: (A) viruses (B) atoms (C) crystals (D) ions<|im_end|>
<|im_start|>assistant
<think>
</think>
Atoms are indestructible and constantly in motion.
The answer is B<|endoftext|> | 11,228 |
<|im_start|>user
Pipe A fills a swimming pool in 4 hours. Pipe B empties the pool in 6 hours. If pipe A was opened at 9:00 am and Pipe B at 10:00 am, at what time will the pool be full?
Answer Choices: (A) 19:00 (B) 17:00 (C) 16:00 (D) 18:00 (E) 20:00<|im_end|>
<|im_start|>assistant
<think>
</think>
Pipe A fills the ... | 45,450 |
<|im_start|>user
The area of a triangle is with base 3m and height 10m?
Answer Choices: (A) 88 m2 (B) 10 m2 (C) 66 m2 (D) 15 m2 (E) 31 m2<|im_end|>
<|im_start|>assistant
<think>
</think>
1/2 * 3 * 5 = 15 m2
The answer is C<|endoftext|> | 60,662 |
<|im_start|>user
The total weight of six nougat nuggets is 7 oz. What is the average (arithmetic mean) weight of one such nougat nugget?
Answer Choices: (A) 0.18 oz. (B) 0.5 oz. (C) 1.8 oz. (D) 5 oz. (E) 1.2 oz<|im_end|>
<|im_start|>assistant
<think>
</think>
Average = Total/Number of items
= 7/6 = 1.2.
Hence, E
The ... | 66,756 |
<|im_start|>user
John makes $50 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?
Answer Choices: (A) 16% (B) 16.66% (C) 18% (D) 21% (E) 40%<|im_end|>
<|im_start|>assistant
<think>
</think>
Increase = (20/50)*100 = 40%.
E
The answer is E<|endoftext|> | 32,095 |
<|im_start|>user
Jolene entered an 16-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $1... | 60,224 |
<|im_start|>user
x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 14. Which of the following is NOT a possible value for y + b?
Answer Choices: (A) 24 (B) 21 (C) 20 (D) 17 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
Important note: ... | 36,749 |
<|im_start|>user
If a mixture is 1⁄7 alcohol by volume and 2⁄7 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture?
Answer Choices: (A) 4/2 (B) 3/2 (C) 1/2 (D) 5/2 (E) 7/2<|im_end|>
<|im_start|>assistant
<think>
</think>
Should be a sub-600 level Q..
volume= {1/7}/{2/7}=... | 13,507 |
<|im_start|>user
A shop keeper marked 20% above the cost price and offered 15% discount then find it's net profit?
Answer Choices: (A) 2% (B) 5% (C) 8% (D) 10% (E) 15%<|im_end|>
<|im_start|>assistant
<think>
</think>
Net profit = 20-15 + (20*(-15)/100) = 2%
The answer is A<|endoftext|> | 28,766 |
<|im_start|>user
A rower can row upstream at 22 kph and downstream at 34 kph. What is the speed of the rower in still water?
Answer Choices: (A) 28 (B) 29 (C) 30 (D) 31 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
Let V be the rower's speed in still water.
Let S be the speed of the current in the stream
V-... | 11,282 |
<|im_start|>user
In a certain aquarium, the number of red fish is three times the number of the green fish, and the number of blue fish is half the number of the red fish. If the ratio of green fish to red fish were to be doubled, and the ratio of red fish to blue fish were to be doubled, then the ratio of blue fish to... | 61,881 |
<|im_start|>user
If 6 women can color 180 m long cloth in 3 days, then 5 women can color 200 m long cloth in?
Answer Choices: (A) 6 days (B) 5 days (C) 4 days (D) 2 days (E) 3 days<|im_end|>
<|im_start|>assistant
<think>
</think>
The length of cloth painted by one woman in one day = 180/ 6× 3 = 10 m
No. of days requi... | 86,307 |
<|im_start|>user
If x, y, and z are consecutive positive integers greater than 1, not necessarily in that order, then which of the following is (are) true?
I. x > z
II. 4x+ 4y > 4z
III. yz > xz
IV. xy > y + z
Answer Choices: (A) I only (B) II only (C) II and III only (D) II and IV only (E) III and IV only<|im_end|... | 59,197 |
<|im_start|>user
How many directions can ions flow along the axon?
Answer choice: (A) two (B) six (C) one (D) three<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 9,574 |
<|im_start|>user
When n is divided by 9, the remainder is 2. When n is divided by 13, the remainder is 8. If 1 < n < 200, what is the greatest possible value of n?
Answer Choices: (A) 47 (B) 65 (C) 103 (D) 164 (E) 117<|im_end|>
<|im_start|>assistant
<think>
</think>
Looking at the choices, options B E can be eliminat... | 91,539 |
<|im_start|>user
Amoebas and paramecia are examples of what?
Answer choice: (A) protozoa (B) vertebrates (C) bacteria (D) protists<|im_end|>
<|im_start|>assistant
<think>
</think>
Examples of protozoa include amoebas and paramecia.
The answer is A<|endoftext|> | 3,034 |
<|im_start|>user
In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard... | 87,046 |
<|im_start|>user
26 +27+28+29=110. How many such 4 consecutive numbers are there less than 2500 when added gives a sum which is divisible by 10?
Answer Choices: (A) 100 (B) 200 (C) 300 (D) 400 (E) 500<|im_end|>
<|im_start|>assistant
<think>
</think>
since 1+2+3+4=10 & 6+7+8+9=30
any combination with these no be will ... | 87,930 |
<|im_start|>user
the hiker walking at a constant rate of 7 miles per hour is passed by a cyclist traveling in the same direction along the same path at 28 miles per hour. the cyclist stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate, how many minutes must th... | 495 |
<|im_start|>user
A sum of money invested at compound interest to Rs. 800 in 3 years and to Rs 840 in 4 years. The
rate on interest per annum is.
Answer Choices: (A) 4% (B) 5% (C) 6% (D) 7% (E) 8%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
S.I. on Rs 800 for 1 year = 40
Rate = (100*40)/(800*1) = 5%
... | 61,946 |
<|im_start|>user
At a certain food stand, the price of each apple is 40¢ and the price of each orange is 60¢. Mary selects a total of 10 apples and oranges from the food stand, and the average (arithmetic mean) price of the 10 pieces of fruit is 56¢. How many oranges must Mary put back so that the average price of the ... | 86,163 |
<|im_start|>user
What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40 and 41?
Answer Choices: (A) 6 (B) 4 (C) 24.5 (D) 20.5 (E) 12.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanatory Answer
9, 40 and 41 is Pythagorean triplet. So, the triangle is right ang... | 76,116 |
<|im_start|>user
How many words can be formed by taking 4 letters at a time out of the letters of the word MATHEMATICS.
Answer Choices: (A) 2154 (B) 2454. (C) 2254 (D) 2354 (E) 1245<|im_end|>
<|im_start|>assistant
<think>
</think>
There are 8 distinct letters: M-A-T-H-E-I-C-S. 3 letters M, A, and T are represented tw... | 74,678 |
<|im_start|>user
Sripad has scored average of 68 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ?
Answer Choices: (A) 79 (B) 28 (C) 38 (D) 27 (E) 88<|im_end|>
<|im_start|>assistant
<think>
</... | 93,287 |
<|im_start|>user
The average height of 35 boys in a class was calculated as 180cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).... | 6,256 |
<|im_start|>user
A gardener grows cabbages in her garden that is in the shape of a square. Each cabbage takes 1 square feet of area in her garden. This year, she has increased her output by 181 cabbages as compared to last year. The shape of the area used for growing the cabbages has remained a square in both these yea... | 1,353 |
<|im_start|>user
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Answer Choices: (A) 1209 (B) 1324 (C) 1245 (D) 1300 (E) 1635<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the smaller number ... | 47,462 |
<|im_start|>user
A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
Answer Choices: (A) 2/91 (B) 3/52 (C) 5/25 (D) 8/45 (E) 7/56<|im_end|>
<|im_start|>assistant
<think>
</think>
n(s)=no of ways of drawing 3 balls out of 15
15C3 =... | 23,141 |
<|im_start|>user
Solve 7x – 2(x+5) = 4x + 11
Answer Choices: (A) 16 (B) 25 (C) 21 (D) 15 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
7x – 2(x+5) = 4x + 11
7x - 2x -10 = 4x + 11
=> 7x – 2x - 4x = 11 + 10
=> x = 21
The answer is C<|endoftext|> | 29,444 |
<|im_start|>user
There are 8 red, 7 blue and 6 green balls, 1 ball is picked up randomly thenwhat is the probability that neither blue nor green?
Answer Choices: (A) 2/21 (B) 3/25 (C) 4/41 (D) 4/23 (E) 8/21<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of balls = (8 + 7 + 6) = 21
Let E = event that th... | 47,246 |
<|im_start|>user
There are 5 sweets – Jumun, Kulfi, Peda, Laddu and Jilabi that I wish to eat on 5 consecutive days – Monday through Friday, one sweet a day, based on the following self imposed constraints:
1) Laddu is not eaten on Monday
2) If Jamun is eaten on Monday, then Laddu must be eaten on Friday
3) If Laddu is... | 2,326 |
<|im_start|>user
Cereal A is 8% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 4% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
Answer Choices: (A) 2:9 (B) 2:7 (C) 1:2 (D) 1:4 (E) 1:3<|im_end|>
<|im_start|>... | 46,154 |
<|im_start|>user
Which of the following fractions is greater than 1/3 and less than 1/5?
1.1/3 2. 1/5 3. 1/2 4. 2/3 5. 4/5 6. 9/10
Answer Choices: (A) 1/5 (B) 1/3 (C) 1/4 (D) 1/9 (E) 1/8<|im_end|>
<|im_start|>assistant
<think>
</think>
1/5 = 0.2, 1/3 = 0.33, 1/9= 0.11, 1/8= 0.125, 4/5= 0.8, 1/4= 0.25.
Clearly, 0.25 l... | 45,178 |
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