text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
14 men can complete a piece of work in 32 days. In how many days can 16 men complete that piece of work?
Answer Choices: (A) 23 (B) 27 3/4 (C) 20 1/2 (D) 27 1/2 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
14 * 32 = 16 * x => x = 27 1/2 days
The answer is D<|endoftext|> | 82,119 |
<|im_start|>user
How many integers between 500 and 1000 are there such that their unit digit is even?
Answer Choices: (A) 250 (B) 150 (C) 500 (D) 100 (E) 200<|im_end|>
<|im_start|>assistant
<think>
</think>
500 numbers between - 500 and 1000
Out of which half would be even, half odd.
Number of even unit digit number ... | 21,132 |
<|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... | 1,771 |
<|im_start|>user
A 8000 liter tank, half-full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes. At the same time, the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes. How many minutes does it take to fill the tank completely?
Answer C... | 93,871 |
<|im_start|>user
If u and v are both negative and uv < v^2, which of the following must be true?
Answer Choices: (A) u < v < u^2 < v^2 (B) u < v < v^2 < u^2 (C) v < u < u^2 < v^2 (D) u^2 < v^2 < v < u (E) v^2 < u^2 < v< u<|im_end|>
<|im_start|>assistant
<think>
</think>
Because uv < v^2 and both are negative, I thoug... | 55,446 |
<|im_start|>user
(1/31)+(1/32)+……+(1/61)+(1/62) is including in which of the following ranges?
Answer Choices: (A) 2 (B) 1/2~ 1 (C) 1 (D) 1~2 (E) 1//2<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of terms in the given series = 32.
The lowest term is 1/62 , the largest being 1/31.
Thus, the sum of the given... | 53,213 |
<|im_start|>user
A train 100 meters long completely crosses a 300 meters long bridge in 30 seconds. What is the speed of the train is?
Answer Choices: (A) 32 kmph (B) 48 kmph (C) 34 kmph (D) 43 kmph (E) 40 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
S = (100 + 300)/30
= 400/30 * 18/5
= 48
The answer is B<|e... | 35,756 |
<|im_start|>user
Express a speed of 72 kmph in meters per second?
Answer Choices: (A) 10 mps (B) 76 mps (C) 20 mps (D) 97 mps (E) 16 mps<|im_end|>
<|im_start|>assistant
<think>
</think>
72 * 5/18
= 20 mps
The answer is C<|endoftext|> | 21,455 |
<|im_start|>user
HCF and LCM two numbers are 14 and 396 respectively. If one of the numbers is 36, then the other number is?
Answer Choices: (A) 36 (B) 66 (C) 154 (D) 264 (E) 364<|im_end|>
<|im_start|>assistant
<think>
</think>
14 * 396 = 36 * x
x = 154
The answer is C<|endoftext|> | 55,169 |
<|im_start|>user
In how many ways can 3 postcards can be posted in 5 postcards?
Answer Choices: (A) 50 (B) 120 (C) 125 (D) 130 (E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
First card can go into any of the five boxes, Second can go into any of the five boxes.
Third card also can go into any of the five bo... | 93,807 |
<|im_start|>user
A company D has 15 percent of the employees are secretaries and 45 percent are salespeople. If there are 50 other employees of Company D, how many employees does Company D have?
Answer Choices: (A) 200 (B) 125 (C) 180 (D) 152 (E) 250<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the total numb... | 17,022 |
<|im_start|>user
A dishonest person wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing 33 $ per litre so as to make a profit of 60% on cost when he sells the resulting milk and water mixture for 36$. In what ratio should he mix the water and milk?
Answer Choice... | 48,096 |
<|im_start|>user
A motorboat can go at 21 kmph and still water. It takes 7 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 3 kmph?
Answer Choices: (A) 65 km (B) 85 km (C) 55 km (D) 72 km (E) 40 km<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the distance b... | 79,428 |
<|im_start|>user
A committee is to be formed by randomly choosing 4 people from 8 candidates. If Alice and Bob are candidates, what is the probability that Alice will be selected but Bob will not?
Answer Choices: (A) 1/3 (B) 2/5 (C) 3/5 (D) 1/7 (E) 2/7<|im_end|>
<|im_start|>assistant
<think>
</think>
The total number... | 19,909 |
<|im_start|>user
Two dogsled teams raced across a 300 mile course in Wyoming. Team A finished the course in 3 fewer hours than team Q. If team A's average speed was 5 mph greater than team Q's, what was team Q's average mph?
Answer Choices: (A) 12 (B) 15 (C) 18 (D) 20 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</t... | 30,762 |
<|im_start|>user
A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio T of revenue ... | 49,420 |
<|im_start|>user
An engineer undertakes a project to build a road 10 km long in 150 days and employs 30 men for the purpose. After 50 days, he finds only 2 km of the road has been completed. Find the (approximate) number of extra men he must employ to finish the work in time.
Answer Choices: (A) 22 (B) 30 (C) 15 (D) 18... | 44,954 |
<|im_start|>user
The average age of students in section A of 100 students is 20 years and the average age of students in section B of 150 students is 30 years. Find the average age of students in both sections taken together?
Answer Choices: (A) 26 years (B) 30years (C) 15years (D) 25years (E) 20years<|im_end|>
<|im_st... | 64,898 |
<|im_start|>user
Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
Answer Choices: (A) 14 min 80 sec (B) 14 min 48 sec (C) 14 min 42 sec (D) 14 min 40 sec (E) 14 min 43 sec<|im_... | 72,403 |
<|im_start|>user
what is the value of (2)^-6 ?
Answer Choices: (A) 1/62 (B) 1/64 (C) 1/65 (D) 1/66 (E) 1/67<|im_end|>
<|im_start|>assistant
<think>
</think>
2^-6= 1/(2)^6= 1/64
The answer is B<|endoftext|> | 66,909 |
<|im_start|>user
How many of the positive divisors of 480 are also multiples of 4 not including 480?
Answer Choices: (A) 15 (B) 16 (C) 19 (D) 20 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
480 = 2^6 * 3 * 5 = (4) * 2^3 * 3 * 5
Besides (4), the exponents of 2, 3, and 5 are 3, 1, and 1.
There are (3+1)(1+1)... | 48,732 |
<|im_start|>user
A train 132 m long passes a telegraph pole in 6 seconds. Find the speed of the train
Answer Choices: (A) 70 km/hr (B) 72 km/hr (C) 79.2 kilometre per hour (D) 80 km/hr (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Speed = (132 / 6) m/sec
= (22 x 18 /5) km/hr
= 79.2 km/hr
The answ... | 28,151 |
<|im_start|>user
Which of the following can be a perimeter q of a triangle inscribed in a circle of radius 1?
I. 0.001
II. 0.010
III. 0.100
Answer Choices: (A) I only (B) III only (C) II and III only (D) I, II, and III (E) Not I, II, or III<|im_end|>
<|im_start|>assistant
<think>
</think>
Yes,the length of any side o... | 91,224 |
<|im_start|>user
The average number of shirts with Salman, Ambani and Dalmiya is 72, if all of them reached a shopping mall in Delhi and purchased 12 shirts each of them then average number of shirt each of them now has
Answer Choices: (A) 84 (B) 87 (C) 86 (D) can't be determined (E) None of these<|im_end|>
<|im_start|... | 62,100 |
<|im_start|>user
Two unbiased coins are tossed. What is probability of getting at most one tail ?
Answer Choices: (A) 1/2 (B) 1/3 (C) 3/2 (D) 3/4 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Total 4 cases = [HH, TT, TH, HT]
Favourable cases = [HH, TH, HT]
Please note we need atmost ... | 33,492 |
<|im_start|>user
A train 110 m long is running with a speed of 82 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Answer Choices: (A) 7 sec (B) 6 sec (C) 8 sec (D) 4.5 sec (E) 2 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed o... | 95,842 |
<|im_start|>user
In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 82 more candidates got selected than A. What was the number of candidates appeared from each State?
Answer Choic... | 63,226 |
<|im_start|>user
A bank offers 3% compound interest calculated on quarter-yearly basis. A customer deposits $ 15000 each in 1st month. At the end of the year, the amount he would have gained by way of interest is?
Answer Choices: (A) 200 (B) 150 (C) 455 (D) 300 (E) 600<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 36,712 |
<|im_start|>user
If x : y = 3 : 5, find the value of (2x + 4y) : (4x – y)
Answer Choices: (A) 29:7 (B) 22:7 (C) 26:7 (D) 20:7 (E) 26:5<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Given: a/b = 3/5
(2*3 + 4*5) : (4*3 – 5)
= 26:7
The answer is C<|endoftext|> | 33,808 |
<|im_start|>user
A company recently conducted a survey and found that 40,000 of its customers live in rural areas. If the number of customers who live in urban areas is 137 percent greater than the number of customers who live in rural areas, how many customers live in urban areas?
Answer Choices: (A) 90,000 (B) 91,200... | 67,296 |
<|im_start|>user
In what time will a train 100 m long cross an electric pole, it its speed be 54 km/hr?
Answer Choices: (A) 2.5 (B) 2.9 (C) 6.67 (D) 2.8 (E) 2.1<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 54 * 5/18 = 15 m/sec
Time taken = 100/15
= 6.67 sec.
The answer is C<|endoftext|> | 63,448 |
<|im_start|>user
A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 80 percent of the drive from the center, what percent of the round-trip has the technician completed?
Answer Choices: (A) 5% (B) 75% (C) 25% (D)... | 1,300 |
<|im_start|>user
f(x) = x! g(x)=x^10 h(x)= 10^x for large values of x which is greater?
Answer Choices: (A) f(x) (B) g(x) (C) h(x) (D) both (E) none<|im_end|>
<|im_start|>assistant
<think>
</think>
let x=100
then g(x)=100^10=10^20
h(x)=10^100
so h(x) is greater
The answer is C<|endoftext|> | 42,025 |
<|im_start|>user
Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 50 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell when th... | 93,615 |
<|im_start|>user
In how many different ways can the letters of the word 'JUDGE' be arranged such that the vowels always come together?
Answer Choices: (A) None of these (B) 48 (C) 32 (D) 64 (E) 57<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
The word 'JUDGE' has 5 letters. It has 2 vowels (UE) in it... | 25,627 |
<|im_start|>user
If there are 85 students in a statistics class and we assume that there are 365 days in a year, what is the probability that at least two students in the class have the same birthday (assuming birthdays are distributed independently)?
Answer Choices: (A) 85/365∗84/364 (B) 13/65∗13/64 (C) 1 - 85!/365! (... | 32,192 |
<|im_start|>user
A person has to cover a distance of 6 km in 45 minutes. If he covers one-half of the distance in two-thirds of the total time; to cover the remaining distance in the remaining time, his speed (in km/hr) must be :
Answer Choices: (A) 7 km/hr (B) 8 km/hr (C) 11 km/hr (D) 12 km/hr (E) None of these<|im_en... | 91,390 |
<|im_start|>user
The units digit of (10)^(87) + (5)^(46) is:
Answer Choices: (A) 2 (B) 4 (C) 6 (D) 8 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
any power of anything ending in 5 always has a units digit of 5. So the first term has a units digit of 5. Done.
The second term anything power to 10 unit digit w... | 12,737 |
<|im_start|>user
In how many W ways can a four-letter password be chosen, using the letters A, B, C, D, E, and/or F, such that at least one letter is repeated within the password?
Answer Choices: (A) 720 (B) 864 (C) 900 (D) 936 (E) 1,296<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of four letter pas... | 33,648 |
<|im_start|>user
Salaries of Rajesh and Sunil are in the ratio of 2 : 3. If the salary of each one is increased by 4000 the new ratio becomes 40 : 57. What is Sunil’s present salary?
Answer Choices: (A) 17000 (B) 20000 (C) 25500 (D) Cannot be determined (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think... | 6,896 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Matter is made of very small particles called atoms. Atoms can be linked together by chemical bonds. When two or more atoms link together, they form a molecule.
In a chemical change, the chemical bonds in the molecules break... | 289 |
<|im_start|>user
Which of the following data sets has the second smallest standard deviation?
Answer Choices: (A) {1, 2, 3, 4, 5} (B) {2, 3, 3, 3, 4} (C) {2, 2, 2, 4, 5} (D) {0, 2, 3, 4, 6} (E) {-1, 1, 3, 5, 7}<|im_end|>
<|im_start|>assistant
<think>
</think>
since we are asked to compare 'standard deviation', w... | 79,153 |
<|im_start|>user
Burning fossil fuels produces air pollution and what?
Answer choice: (A) oxygen (B) carbon dioxide (C) liquid dioxide (D) acid rain<|im_end|>
<|im_start|>assistant
<think>
</think>
Fossil fuels—including oil, natural gas, and coal—provide most of the energy used in the world today. Burning fossil fue... | 5,116 |
<|im_start|>user
A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 220 m in 18 sec. then find the length of the train?
Answer Choices: (A) 200m (B) 180m (C) 272m (D) 210m (E) 267m<|im_end|>
<|im_start|>assistant
<think>
</think>
Length of the train be ‘X’
(X + 150)/15 = (X +... | 17,930 |
<|im_start|>user
Employees at a company will vote for an executive team of five people from eight qualified candidates. The executive team consists of a president, a treasurer, and three warrant officers. If an executive team is considered different if any of the same people hold different offices, then how many possib... | 26,084 |
<|im_start|>user
What is the probability of getting a sum 9 from two throws of a dice?
Answer Choices: (A) 5/5 (B) 1/9 (C) 5/1 (D) 5/7 (E) 5/2<|im_end|>
<|im_start|>assistant
<think>
</think>
In two throws of a dice, n(S) = (6 x 6) = 36.
Let E = event of getting a sum ={(3, 6), (4, 5), (5, 4), (6, 3)}.
The probabilit... | 4,565 |
<|im_start|>user
Nr Books bought Nr of People
5 3
6 3
7 7
8 2
9 8
What is the median of books bought per person?
Answer Choices: (A) a) 2 (B) b) 4 (C) c) 7 (D) d) 8 (E) e) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
5, 5, 5, 6, 6, 6, 7, 7, 7, 7,7 ,7, 7, 8, 8, 9, 9, 9,... (8 times)
so you will observer th... | 52,141 |
<|im_start|>user
{1/(5-√24)}^2 =
Answer Choices: (A) a. 16+16√15 (B) b. 31- 10√15 (C) c. 49 - 10√24 (D) d. 32- 4√15 (E) e. 32 + 4√15<|im_end|>
<|im_start|>assistant
<think>
</think>
1 / (25 - 10 root24 + 24)
= 1 / (49 - 10 root24)
Multiply numeratordenominator by (49 + 10 root24)
= (49 - 10root24)
The answer is C<|en... | 53,700 |
<|im_start|>user
In a LAB experiment, a 100 ml compound of element X and element Y needs to be increased to 180 ml by adding some quantity of element X, and some quantity of element Y. If the original compound contains 30% of element X, how much (in ml) of element Y must be added so that element X will be exactly one t... | 75,209 |
<|im_start|>user
A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
Answer Choices: (A) 833 1/7 grams (B) 833 1/3 grams (C) 833 8/3 grams (D) 883 1/3 grams (E) 832 1/3 grams<|im_end|>
<|im_start|>assistant
<think... | 81,332 |
<|im_start|>user
If the quotient a/b positive, which of the following must be true?
Answer Choices: (A) a > 0 (B) b > 0 (C) ab > 0 (D) a-b > 0 (E) a+b > 0<|im_end|>
<|im_start|>assistant
<think>
</think>
a/b>0 means aa and bb have the same sign, either both are negative or both are positive. Thus, their product will ... | 47,628 |
<|im_start|>user
The simple interest at b% for b years will be $b on a sum of
Answer Choices: (A) $ (1000) /b (B) $(100) b^2 (C) $ b (D) $ (100) /b (E) $ 100b<|im_end|>
<|im_start|>assistant
<think>
</think>
Principal =$(100*b)/(b*b)=$(100/b).
The answer is D<|endoftext|> | 66,626 |
<|im_start|>user
what is the least number by which 2,100 must be divided to get a number perfect square
Answer Choices: (A) 21 (B) 42 (C) 24 (D) 40 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
2,100/21=100
100=(10)^2
Ans-21
The answer is A<|endoftext|> | 20,597 |
<|im_start|>user
If sequence T is defined for all positive integers n such that t(n +1) = t(n) + n, and t 3 = 14, what is t 21?
Answer Choices: (A) 101 (B) 187 (C) 191 (D) 221 (E) 251<|im_end|>
<|im_start|>assistant
<think>
</think>
ok, not sure if this is the best explanation, but here is my way of solving this :
tn... | 76,404 |
<|im_start|>user
What term is used to describe the transfer of thermal energy by particles moving through a fluid?
Answer choice: (A) condensation (B) diffusion (C) evaporation (D) convection<|im_end|>
<|im_start|>assistant
<think>
</think>
Convection is the transfer of thermal energy by particles moving through a fl... | 9,503 |
<|im_start|>user
How many positive integers S less than 20 are either a multiple of 2, an odd multiple of 9, or the sum of a positive multiple of 2 and a positive multiple of 9 ?
Answer Choices: (A) 19 (B) 18 (C) 17 (D) 16 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
We're asked to deal with the positive i... | 4,307 |
<|im_start|>user
In some parts of the world, too much of the sun's harmful uv radiation gets through because of a hole in what layer?
Answer choice: (A) mesosphere (B) troposphere (C) thermosphere (D) ozone<|im_end|>
<|im_start|>assistant
<think>
</think>
Punta Arenas, Chile is the world's most southern city. At such... | 4,765 |
<|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) 7 sec (B) 6 sec (C) 4 sec (D) 5 sec (E) 9 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed ... | 8,727 |
<|im_start|>user
What type of molecules are secreted by the cell in local signaling?
Answer choice: (A) word molecules (B) negaitive molecules (C) sleeping molecules (D) messenger molecules<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 8,627 |
<|im_start|>user
John and Jacob set out together on bicycle traveling at 15 and 10 miles per hour, respectively. After 40 minutes, John stops to fix a flat tire. If it takes John one hour to fix the flat tire and Jacob continues to ride during this time, how many hours will it take John to catch up to Jacob assuming he... | 2,474 |
<|im_start|>user
The water level in a rectangular swimming pool measuring 60 feet by 20 feet is to be lowered by 6 inches. How many gallons of water must be removed? (1 cu ft = 7.5 gallons)
Answer Choices: (A) 100 (B) 250 (C) 4500 (D) 1200 (E) 5625<|im_end|>
<|im_start|>assistant
<think>
</think>
6 inches = 1/2 feet ... | 92,038 |
<|im_start|>user
Which of the following values of A satisfies the inequality?
A(A – 2) = 5A – 10
Answer Choices: (A) 2 < A = 5 (B) 2 < A = 8 (C) 2 < A = 6 (D) 2 < A = 1 (E) 2 < A = 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
A ( A – 2) = 5 A – 10
A( A – 2) = 5 ( A – 2)
A = 5 if A – 2 > 0
A = 5, A ... | 10,682 |
<|im_start|>user
A garden center sells a certain grass seed in 5-pound bags at $13.85 per bag, 10-pound bags at $20.40 per bag, and 25-pound bags $32.25 per bag. If a customer is to buy at least 65 pounds of the grass seed, but no more than 80 pounds, what is the least possible cost of the grass seed that the customer ... | 83,437 |
<|im_start|>user
The perimeter of a rectangle is equal to 280 meters. The ratio of its length to its width is 5:2. Find the area of the rectangle.
Answer Choices: (A) 400 square meters (B) 4000 square meters (C) 20 square meters (D) 2000 square meters (E) 1000 square meters<|im_end|>
<|im_start|>assistant
<think>
</th... | 82,403 |
<|im_start|>user
Will decides to attend a basketball game with four friends.
If the party of five sits together in five consecutive seats, and Will must NOT sit in between two of his friends, how many ways
can the five friends be arranged?
Answer Choices: (A) 24 (B) 36 (C) 48 (D) 72 (E) 120<|im_end|>
<|im_start|>assist... | 28,042 |
<|im_start|>user
What causes a change in the state of matter according to the kinetic molecular theory?
Answer choice: (A) Altering the size of atoms. (B) Changing the amount of energy in the matter. (C) Introducing new substances. (D) Applying pressure.<|im_end|>
<|im_start|>assistant
<think>
</think>
A change in en... | 163 |
<|im_start|>user
The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
Answer Choices: (A) 1/56 (B) 1/42 (C) 1/40 (D) 1/41 (E) 1/47<|im_end|>
<|im_start|>assistant
<think>
</think>
2/3 * 6/7 * 1/3 * 1/8 = 1/42
The answer is B<|endoftext|> | 56,869 |
<|im_start|>user
A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Answer Choices: (A) 1686 (B) 1640 (C) 6829 (D) 2780 (E) 2790<|im_end|>
<|im_start|>assistant
<thi... | 44,031 |
<|im_start|>user
An obstacle or opening that is shorter than the wavelength causes greater diffraction of what?
Answer choice: (A) tides (B) ranges (C) waves (D) particles<|im_end|>
<|im_start|>assistant
<think>
</think>
An obstacle or opening that is shorter than the wavelength causes greater diffraction of waves.
T... | 10,804 |
<|im_start|>user
If 20 percent of the members of a certain organization are women and 2/8 of the members of the organization are married men, which of the following statements concerning the membership must be true? I. The number of women in the organization is greater than the number of married men in the organization... | 97,251 |
<|im_start|>user
A can do a piece of work in 8 hours; B and C together can do it in 12 hours, while A and C together can do it in 16 hours. How long will B alone take to do it?
Answer Choices: (A) 7 8/5 hours (B) 5 9/8 hours (C) 5 6/8 hours (D) 6 6/7 hours (E) none of the above<|im_end|>
<|im_start|>assistant
<think>
... | 1,839 |
<|im_start|>user
What is the term for an infection caused by a fungal parasite?
Answer choice: (A) mydriasis (B) mycosis (C) mitosis (D) acrobasis<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 547 |
<|im_start|>user
A man can ride on motorcycle at 50 kmph upward road and 100 kmph downward road. He takes 12 hours to ride motorcycle uphill from lower point A to upper point B and back to A. What is the total distance traveled by him in 12 hours? He must return back to base point A in remaining time.
Answer Choices: (... | 1,650 |
<|im_start|>user
If n = 2×3×5×7×11×13×18, then which of the following statements must be true?
I. n^2 is divisible by 600
II. n + 19 is divisible by 19
III. (n + 4)/2 is even
Answer Choices: (A) I only (B) II only (C) III only (D) I and III (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
Statem... | 63,625 |
<|im_start|>user
Which fraction should be added to:
1/(2 × 3) + 1/(3 × 4) + 1/(4 × 5) + ....... + 1/(29 × 30)
so that the result is equal to 1?
Answer Choices: (A) 4/15 (B) 7/15 (C) 8/15 (D) 11/30 (E) 13/30<|im_end|>
<|im_start|>assistant
<think>
</think>
The given expression
= 1/(2 × 3) + 1/(3 × 4) + 1/(4 × 5... | 86,749 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Similes and metaphors are figures of speech that compare two things that are not actually alike.
A simile compares two things by saying that one is like the other. Similes often use the words like and as.
My sister runs like... | 6,505 |
<|im_start|>user
Why do waves travel faster through solids?
Answer choice: (A) particles closer together (B) particles fuse together (C) particles range together (D) particles pipe together<|im_end|>
<|im_start|>assistant
<think>
</think>
The speed of most waves depends on the medium, or the matter through which the ... | 7,323 |
<|im_start|>user
A train running at the speed of 72 km/hr crosses a pole in 8 seconds. Find the length of the train.
Answer Choices: (A) 150 meter (B) 145 meter (C) 160 meter (D) 135 meter (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Speed = 72*(5/18) m/sec = 20 m/sec
Length of Trai... | 879 |
<|im_start|>user
Three partner’s A,B,C start a business. Twice A’s capital is equal to thrice B’s capital and B’s capital is four times C’s capital. Out of a total profit of Rs.16500 at the end of the year, B’s share is:
Answer Choices: (A) Rs.4000 (B) Rs.6000 (C) Rs 7500 (D) Rs 7500 (E) Rs.6600<|im_end|>
<|im_start|>a... | 30,661 |
<|im_start|>user
3 ltr of water is added with 9 ltr of a solution containing 57%of alcohol in the water. The % of alcohol in the new mixture is?
Answer Choices: (A) 41.5% (B) 42.75% (C) 43% (D) 45% (E) 45.75%<|im_end|>
<|im_start|>assistant
<think>
</think>
We have a 9 litre solution containing 57% of alcohol in the ... | 40,366 |
<|im_start|>user
Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
Answer Choices: (A) Rs.12:29 (B) Rs.18:90 (C) Rs.16.28 (D) Rs.16.50 (E) Rs.82.09<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 90,195 |
<|im_start|>user
9 people decided to split the food order evenly. If the bill was $86.14 dollars, how much money should be removed with 1 cent as the smallest unit?
Answer Choices: (A) $86.10 (B) $86.11 (C) $86.12 (D) $86.13 (E) $86.19<|im_end|>
<|im_start|>assistant
<think>
</think>
This is equivalent to finding the... | 59,018 |
<|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.
Mass is a measurement of how much matter something contains.
There are many different units of ma... | 5,894 |
<|im_start|>user
The tax on a commodity is diminished by 20% but its consumption is increased by 20%. Find the decrease percent in the revenue derived from it?
Answer Choices: (A) 12% (B) 4% (C) 16% (D) 20% (E) 22%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
100 * 100 = 10000
80 * 120 = 9600
10000--... | 21,617 |
<|im_start|>user
What kind of material that might otherwise go to a landfill can serve as the source of biomass power?
Answer choice: (A) mechanical waste (B) microscopic waste (C) reactive waste (D) organic waste<|im_end|>
<|im_start|>assistant
<think>
</think>
Any organic material can be made into electricity. But ... | 9,617 |
<|im_start|>user
"red-shift" refers to a shift toward red in the spectrum from what celestial bodies?
Answer choice: (A) galaxies (B) planets (C) comets (D) stars<|im_end|>
<|im_start|>assistant
<think>
</think>
The spectrum from stars is shifted toward the red; this is known as red-shift. Red-shift of galaxies is ev... | 7,987 |
<|im_start|>user
A boat moves upstream at the rate of 1 km in 20 minutes and down stream 1 km in 12 minutes. Then the speed of the current is :
Answer Choices: (A) 1 kmph (B) 2 kmph (C) 3 kmph (D) 2.5 kmph (E) 3.5 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Rate upstream = (1/20 *60) = 3 kmph
Rate dowm stre... | 91,694 |
<|im_start|>user
Natural selection can only take place if there is variation, or differences, among individuals in a population. importantly, these differences must have some genetic basis; otherwise, the selection will not lead to change in this?
Answer choice: (A) fertilization (B) next generation (C) spontaneous mut... | 7,327 |
<|im_start|>user
If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling nine books ?
Answer Choices: (A) 2025 (B) 2677 (C) 1800 (D) 2778 (E) 76611<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 53,281 |
<|im_start|>user
Two bullet train s 140 m and 170 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
Answer Choices: (A) 15.8 sec. (B) 12.8 sec. (C) 11.16 sec. (D) 10.8 sec. (E) 08.8 sec.<|im_end|>
<|im_... | 30,144 |
<|im_start|>user
Behaviors that are closely controlled by genes and have little to no environmental influence are called what kinds of behaviors?
Answer choice: (A) generalized behaviors (B) diverse behaviors (C) learned behaviors (D) innate behaviors<|im_end|>
<|im_start|>assistant
<think>
</think>
Behaviors that ar... | 4,270 |
<|im_start|>user
In what ratio must rice of Rs.32per kg be mixed with rice of Rs.42 per kg so that cost of mixture is Rs.20 per kg?
Answer Choices: (A) 13:6 (B) 13:5 (C) 11:6 (D) 11:5 (E) 12:5<|im_end|>
<|im_start|>assistant
<think>
</think>
(20-42)/(32-20)=22/12=11:6
The answer is C<|endoftext|> | 30,637 |
<|im_start|>user
In a rectangular coordinate system, what is the area of a triangle whose vertices have the coordinates (2, 0), (6, 3), and (6, -3)?
Answer Choices: (A) 11 (B) 12 (C) 13 (D) 14 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
The triangle is symmetric about the x-axis.
The part above the x-axis... | 85,787 |
<|im_start|>user
The wheel of a motorcycle 70cm in diameter makes 40 revolutions in every 10sec.What is the speed of motorcycle n km/hr?
Answer Choices: (A) 31.65 (B) 31.68 (C) 31.62 (D) 31.61 (E) 31.67<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
In this type of question, we will first calculate the... | 4,844 |
<|im_start|>user
For any triangle T in the xy–coordinate plan, the center of T is defined to be the point whose x–coordinate is the average (arithmetic mean) of the x–coordinates of the vertices of T and whose y–coordinate is the average of the y–coordinates of the vertices of T. If a certain triangle has vertices at t... | 78,476 |
<|im_start|>user
A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?
Answer Choices: (A) 10 (B) 20 (C) 21 (D) 25 (E) 24<|im_end|>
<|im_... | 61,361 |
<|im_start|>user
What are the three primary pigment colors?
Answer choice: (A) cyan, yellow, magenta (B) red, white, blue (C) green, orange, purple (D) red, green, blue<|im_end|>
<|im_start|>assistant
<think>
</think>
Pigments are substances that color materials by reflecting light of certain wavelengths and absorbin... | 11,528 |
<|im_start|>user
5, 9, 17, 29, 45, ?
Answer Choices: (A) 49 (B) 87 (C) 60 (D) 65 (E) 44<|im_end|>
<|im_start|>assistant
<think>
</think>
D
65
The pattern is + 4, + 8, + 12, + 16, ....
The answer is D<|endoftext|> | 57,657 |
<|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... | 1,243 |
<|im_start|>user
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?
Answer Choices: (A) 52.6 m2 (B) 58.8 m2 (C) 52.8 m2 (D) 52.3 m2 (E) 51.8 m2<|im_end|>
<|im_start|>assistant
<think>
</think>
42/360 * 22/7 * 12 * 12 = 52.8 m2
The answer is C<|endoftext|> | 34,023 |
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