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5 values
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18
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stringclasses
5 values
aqua_train
aqua_train_2624
A man takes 3 hours 45 minutes to row a boat 20 km downstream of a river and 2 hours 30 minutes to cover a distance of 3 km upstream. Find the speed of the current.
[ "A)1 km/hr", "B)2 km/hr", "C)3 km/hr", "D)4 km/hr", "E)None of these" ]
B
sciq
sciq_4
The spermatids are transported from the testes to where?
[ "abdominis", "Duodenum", "vas", "epididymis" ]
D
aqua_train
aqua_train_988
13 buckets of water fill a tank when the capacity of each bucket is 51 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 17 litres?
[ "A)39", "B)28", "C)23", "D)12", "E)24" ]
A
aqua_train
aqua_train_81908
Ben worked for 7 days on a task that will take him 14 days to complete alone before he was joined by Blake. both of them completed the remaining task in 1 and half days. how many days will it take both of them to complete the entire job?
[ "A)3", "B)2", "C)2", "D)8", "E)9" ]
A
science_train
science_train_5243
Question: Which two months have the lowest average precipitation in Salt Lake City? Hints:
[ "November and December", "September and October", "July and August" ]
C
aqua_train
aqua_train_53
A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
[ "A)Rs. 45", "B)Rs. 50", "C)Rs. 55", "D)Rs. 60", "E)Rs. 65" ]
A
aqua_train
aqua_train_43314
What is the positive difference between the sum of the squares of the first 7 positive integers and the sum of the prime numbers between the first square and fourth square?
[ "A)11", "B)52", "C)83", "D)94", "E)99" ]
E
aqua_train
aqua_train_69551
If y exceeds x by 25%, then x is less than y by?
[ "A)20%", "B)16 3/3%", "C)16 2/3%", "D)12 2/3%", "E)16 1/3%" ]
A
aqua_train
aqua_train_78148
Michael cashed a check for $1,100 and received only $10 and $50 bills in return. During the course of a day, he used 15 bills and then lost the rest of the money. If the number of $10 bills used was either one more or one less than the number of $50 bills used, what is the minimum possible amount of money that was lost...
[ "A) $630", "B) $800", "C) $770", "D) $730", "E) $700" ]
A
aqua_train
aqua_train_68192
what is the smallest integer that is multiple of 5,7 and 20
[ "A)141", "B)180", "C)130", "D)122", "E)140" ]
E
aqua_train
aqua_train_31533
In a group of 650 readers who read science fiction or literacy works or both, 250 read science fiction and 550 read literacy works. How many read both science fiction and literacy works?
[ "A)650", "B)250", "C)150", "D)100", "E)400" ]
C
sciq
sciq_4
Around 97% of all water on earth is what type of water?
[ "excess water", "fresh water", "rivers water", "salt water" ]
D
aqua_train
aqua_train_7729
In assembling a Bluetooth device, a factory uses one of two kinds of modules. One module costs $15 and the other one, that is cheaper, costs $10. The factory holds a $140 worth stock of 13 modules. How many of the modules in the stock are of the cheaper kind?
[ "A)20", "B)25", "C)30", "D)11", "E)35" ]
D
aqua_train
aqua_train_84630
An air-conditioning unit costs $470. On December there was a discount for Christmas of 16%. Six months later, the holiday season was over so the company raised the price of the air-conditioning by 20%. How much will an air-conditioning unit cost in November?
[ "A)$458", "B)$470", "C)$474", "D)$484", "E)$491" ]
C
aqua_train
aqua_train_55887
If the radius of a cylinder is doubled and so height is made 3 times, what is the new volume of the cylinder divided by the old one?
[ "A)8.", "B)12.", "C)6.", "D)4.", "E)10." ]
B
aqua_train
aqua_train_58180
How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?
[ "A)99", "B)88", "C)77", "D)65", "E)44" ]
A
aqua_train
aqua_train_37376
How many words, with or without meaning, can be formed using all letters of the word RED using each letter exactly once?
[ "A)6", "B)7", "C)8", "D)9", "E)10" ]
A
aqua_train
aqua_train_33830
Mysoon collects glass ornaments. Ten more than 1/6 of the ornaments in her collection are handmade, and 1/2 of the handmade ornaments are antiques. If 1/10 of the ornaments in her collection are handmade antiques, how many ornaments are in her collection?
[ "A)36", "B)60", "C)108", "D)144", "E)300" ]
E
aqua_train
aqua_train_20661
At 1:00 pm, a truck left city P and headed toward City Q at a constant speed of 36 km/h. One hour later, a car left City Q and headed toward City P along the same road at a constant speed of 48 km/h. If the distance between City P and City Q is 330 km, at what time will the truck and the car meet each other?
[ "A)4:30", "B)4:45", "C)5:00", "D)5:15", "E)5:30" ]
E
aqua_train
aqua_train_93984
The sum of the present ages of father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be?
[ "A)27 years", "B)28 years", "C)29 years", "D)20 years", "E)17 years" ]
D
aqua_train
aqua_train_32933
At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
[ "A)4%", "B)9%", "C)3%", "D)6%", "E)8%" ]
A
aqua_train
aqua_train_32254
A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
[ "A)277", "B)2678", "C)287", "D)108", "E)277" ]
D
aqua_train
aqua_train_96736
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?
[ "A)833 1/0", "B)833 1/3", "C)833 1/21", "D)833 1/2", "E)833 1/3" ]
B
aqua_train
aqua_train_83886
A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
[ "A)17 minutes", "B)87 minutes", "C)70 minutes", "D)27 minutes", "E)11 minutes" ]
C
aqua_train
aqua_train_59195
What least value should be replaced by * in 483*4312 so the number become divisible by 6
[ "A)3", "B)4", "C)5", "D)2", "E)7" ]
D
science_train
science_train_4250
Question: Which property do these two objects have in common? Hints:
[ "bouncy", "soft" ]
B
aqua_train
aqua_train_328
What is the HCF of 2/3, 4/9 and 6/18
[ "A)7/45", "B)2/45", "C)1/9", "D)8/45", "E)9/45" ]
C
aqua_train
aqua_train_46784
In the city of San Durango, 80 people own cats, dogs, or rabbits. If 50 people owned cats, 20 owned dogs, 30 owned rabbits, and 16 owned exactly two of the three types of pet, how many people owned all three?
[ "A)1", "B)2", "C)4", "D)7", "E)9" ]
B
aqua_train
aqua_train_49124
Youseff lives x blocks from his office. It takes him 1 minute per block to walk to work and 20 seconds per block to ride his bike to work. It is takes him exactly 12 minutes more to walk to work than to ride his bike to work, then x equals?
[ "A)4", "B)7", "C)10", "D)15", "E)18" ]
E
aqua_train
aqua_train_53666
What will come in place of (a) in the following expression? a - 996.21 + 498.05 = 215.50 – 425.01
[ "A)288.64", "B)888.6", "C)888.67", "D)83.65", "E)288.65" ]
E
aqua_train
aqua_train_92926
9 men went to a restaurant for taking their snacks. Eight of them spent Rs.15 each on their snacks and the ninth spent Rs.8 more than the average expenditure of all the nine. What was the total money spent by them.
[ "A)Rs 115", "B)Rs116", "C)Rs 144", "D)Rs 178", "E)Rs 168" ]
C
aqua_train
aqua_train_92136
A man sitting in a train which is traveling at 50 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed.?
[ "A)50 kmph", "B)58 kmph", "C)62 kmph", "D)65 kmph", "E)75 kmph" ]
C
science_train
science_train_410
Question: Think about the magnetic force between the magnets in each pair. Which of the following statements is true? Hints:
[ "The magnitude of the magnetic force is greater in Pair 2.", "The magnitude of the magnetic force is the same in both pairs.", "The magnitude of the magnetic force is greater in Pair 1." ]
B
aqua_train
aqua_train_92325
There are 1000 students in a school and among them 30 % of them attends chess class. 10% of the students who are in the chess class are also enrolled for swimming. No other students are interested in swimming so how many will attend the swimming class if all enrolled attends?
[ "A)1", "B)10", "C)100", "D)30", "E)20" ]
D
aqua_train
aqua_train_32864
On a certain Monday, Carlos drove to work at an average speed of 10 miles per hour and home from work along exactly the same route at an average speed of 20 miles per hour. Which of the following is closest to his average speed for both trips combined?
[ "A)17", "B)16", "C)15", "D)14", "E)13.33" ]
E
aqua_train
aqua_train_90032
How much interest can a person get on Rs. 8600 at 17.5% p.a. simple interest for a period of two years and six months?
[ "A)3587.58", "B)3587.59", "C)3587.5", "D)3762.5", "E)3587.56" ]
D
aqua_train
aqua_train_46148
A 280 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
[ "A)230", "B)288", "C)267", "D)256", "E)220" ]
E
aqua_train
aqua_train_46504
Which is the middle even number between 1 and 9?
[ "A)10", "B)25", "C)5", "D)8", "E)6" ]
C
aqua_train
aqua_train_46492
The H.C.F. of two numbers is 15 and their L.C.M. is 420. If one of the numbers is 375, then the other is:
[ "A)12.21", "B)283", "C)16.8", "D)318", "E)32.4" ]
C
aqua_train
aqua_train_4160
The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
[ "A)10 kmph", "B)11 kmph", "C)16 kmph", "D)18 kmph", "E)19 kmph" ]
A
aqua_train
aqua_train_84697
There are 14 people in a room. If each person shakes hands with exactly 3 other people, what is the total number of handshakes?
[ "A)18", "B)21", "C)35", "D)42", "E)56" ]
B
aqua_train
aqua_train_5941
Tough and Tricky questions: Absolute Values. If |a| = 1/5 and |b| = 2/5, which of the following CANNOT be the result of a + b?
[ "A)3/5", "B)-3/5", "C)-1/5", "D)2/3", "E)1/5" ]
D
ds_train
ds_train_1091
ProMet is a hypothetical algorithm used for pattern recognition in large datasets. It is designed to recognize patterns by analyzing multiple features simultaneously and can be applied to both supervised and unsupervised learning tasks. If ProMet processes a dataset with N data points, each having D features, and perfo...
[ "A. O(N)\nB. O(D)\nC. O(ND)\nD. O(ND^2)" ]
D
aqua_train
aqua_train_70874
If the average (arithmetic mean) of a and b is 115, and the average of b and c is 160, what is the value of a − c?
[ "A)−220", "B)−100", "C)−90", "D)135", "E)It cannot be determined from the information given" ]
C
aqua_train
aqua_train_91120
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?
[ "A)1888", "B)1640", "C)2768", "D)2976", "E)2691" ]
B
aqua_train
aqua_train_58310
10 distinct integers are arranged in ascending order. The range of the first 7 is 25 and that of last 7 is 30. What is the maximum range T of the 10 numbers?
[ "A)25", "B)27", "C)30", "D)52", "E)55" ]
D
aqua_train
aqua_train_36234
The sum of the mean, the median, and the range of the set {1, 2, 4,6,8,10,12} equals which one of the following values?
[ "A)2.6", "B)14.23", "C)22.14", "D)8.6", "E)10" ]
C
aqua_train
aqua_train_21834
5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?
[ "A)2988", "B)2776", "C)4400", "D)2871", "E)881" ]
C
aqua_train
aqua_train_73920
10men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa?
[ "A)22", "B)20", "C)13", "D)5", "E)none" ]
E
aqua_train
aqua_train_59825
What is the greatest positive integer Q such that 3^Q is a factor of 9^10?
[ "A)Q=5", "B)Q=9", "C)Q=10", "D)Q=20", "E)30" ]
D
aqua_train
aqua_train_520
FOG + FOG + FOG + FOG = 1464. If F,O and G are digits in a three-digit number in the preceding equation the F + O + G = ?
[ "A)11", "B)12", "C)13", "D)14", "E)15" ]
E
aqua_train
aqua_train_22185
(0.76)(power 3) - (0.1)(power 3)/ (0.76)(power 2) + 0.076 + (0.1)(power 2) is:
[ "A)0.66", "B)0.68", "C)0.96", "D)0.69", "E)0.76" ]
A
aqua_train
aqua_train_58653
A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?
[ "A)39:40", "B)40:39", "C)3:4", "D)4:3", "E)1:2" ]
A
aqua_train
aqua_train_25812
How many positive integers G less than 10,000 are such that the product of their digits is 210?
[ "A)24", "B)30", "C)48", "D)54", "E)72" ]
D
aqua_train
aqua_train_10039
The sum of the first 70 positive even integers is 4,970. What is the sum of the first 70 odd integers?
[ "A)4500", "B)4600", "C)4300", "D)4900", "E)5000" ]
D
aqua_train
aqua_train_40700
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 72 kmph and 90 kmph. In how much time will the trains cross each other?
[ "A)80/8", "B)80/9", "C)80/5", "D)80/3", "E)80/1" ]
B
aqua_train
aqua_train_81497
If x, y, and z are negative integers and 3x - 3y = -3z, then which of the following statements must be true? I. x > y> z II. x = z III. x > y
[ "A)I and II", "B)I only", "C)II only", "D)III only", "E)None" ]
D
aqua_train
aqua_train_40565
Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 150 milliliters of solution X to create a solution that is 25 percent alcohol by volume?
[ "A)250/3", "B)500/3", "C)400", "D)450", "E)600" ]
D
sciq
sciq_4
Passive immunity arises from the transfer of what to an individual, without requiring them to mount their own active immune response?
[ "parasites", "bacteria", "viruses", "antibodies" ]
D
aqua_train
aqua_train_2157
Ramesh can finish a piece of work in 16 days. Rohan is twice as efficient as Ramesh.If they work together how many days will they need to finish the same amount of work?
[ "A)8/3 days", "B)9/3 days", "C)16/3 days", "D)11/3 days", "E)7/3 days" ]
C
aqua_train
aqua_train_1229
The maximum number of student amoung them 1802 pens and 1203 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
[ "A)1", "B)10", "C)11", "D)19", "E)None of these" ]
A
aqua_train
aqua_train_74062
A train running at the speed of 100 km/hr crosses a pole in 9 sec. What is the length of the train?
[ "A)298 m", "B)250 m", "C)208 m", "D)988 m", "E)299 m" ]
B
aqua_train
aqua_train_16299
If each of 4 digit code is formed of integers from 1 to 50, inclusively, and each of the digits are different, how many possible codes are there?
[ "A)5527200", "B)5586300", "C)5598600", "D)5547800", "E)2569800" ]
A
science_train
science_train_2635
Question: Based on this information, what is this Nile tilapia fish's phenotype for the body color trait? Hints:
[ "bb", "a pink body" ]
B
aqua_train
aqua_train_14746
Approximately how many revolutions will be made by a car tire with a 13-inch diameter if the car travels 1⁄2 mile?
[ "A)120", "B)180", "C)772", "D)720", "E)1,440" ]
C
aqua_train
aqua_train_16962
Every day, Fred takes the train to travel from his work back to Alkmaar, his place of residence. Usually, he arrives at the station of Alkmaar at six o'clock, and exactly at that moment, his wife picks him up by car. Yesterday evening, Fred took an earlier train, without informing his wife, and therefore he already was...
[ "A)55", "B)45", "C)58", "D)65", "E)59" ]
A
science_train
science_train_4011
Question: Which of the following could Tyrone's test show? Hints:
[ "if the weather station would work when the temperature was 50°C", "how well the weather station would work when it was windy" ]
A
aqua_train
aqua_train_17039
Dan's age after 16 years will be 6 times his age 4 years ago. What is the present age of Dan?
[ "A)8", "B)10", "C)12", "D)14", "E)16" ]
A
aqua_train
aqua_train_21761
The visitors of a modern art museum who watched a certain Picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it. According to the results of the survey, all 150 visitors who did not enjoy the painting also did...
[ "A)90", "B)120", "C)160", "D)360", "E)600" ]
E
aqua_train
aqua_train_88432
If x, y, and z are positive integers such that x^2 + y^2 + z^2 = 3460, which of the following could be the values of x, y, and z? I. x=21,y=42,z=36 II.x=20,y=41,z=30 III.x=20,y=42,y=36
[ "A)I only", "B)II only", "C)III only", "D)I​ and II", "E)I and III" ]
C
aqua_train
aqua_train_8958
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks, the number of questions he attempts correctly, is :
[ "A)38", "B)40", "C)26", "D)25", "E)11" ]
B
aqua_train
aqua_train_51686
P and Q are the only two applicants qualified for a short-term research project that pays 300 dollars in total. Candidate P has more experience and, if hired, would be paid 50 percent more per hour than candidate Q would be paid. Candidate Q, if hired, would require 10 hours more than candidate P to do the job. Candida...
[ "A)$5", "B)$10", "C)$15", "D)$20", "E)$25" ]
A
science_train
science_train_6029
Question: Which part of a pine tree can grow into a new tree? Hints:
[ "a seed", "a needle" ]
A
aqua_train
aqua_train_72181
In a certain appliance store, each model of television is uniquely designated by a code made up of a particular ordered pair of letters. If the store has 80 different models of televisions, what is the minimum number of letters that must be used to make the codes?
[ "A)6", "B)7", "C)9", "D)8", "E)10" ]
C
aqua_train
aqua_train_83697
The number of singles that a baseball player hit increased 18 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 6 percent. If the total number of singles and doubles that she hit increased 3 percent from her first season to her second season,...
[ "A)1:3", "B)4:5", "C)1:5", "D)2:5", "E)3:5" ]
E
aqua_train
aqua_train_43862
In a group of 27 junior high school students, 7 take French, 10 take Spanish, and 4 take both languages. The students taking both French and Spanish are not counted with the 7 taking French or the 10 taking Spanish. How many students are not taking either French or Spanish?
[ "A)7", "B)6", "C)9", "D)4", "E)6" ]
E
aqua_train
aqua_train_11908
If x and y are integers and xy = 660, x or y must be divisible by which of the following numbers?
[ "A)4", "B)6", "C)11", "D)20", "E)30" ]
C
aqua_train
aqua_train_38623
In how many different ways can the letter of the word 'DEIFY' be arranged in such a way that the vowels occupy the odd positions?
[ "A)45", "B)36", "C)12", "D)24", "E)85" ]
C
aqua_train
aqua_train_69732
A train 520 m long can cross an electric pole in 20 sec and then find the speed of the train?
[ "A)88 Kmph", "B)94 Kmph", "C)72 Kmph", "D)16 Kmph", "E)18 Kmph" ]
B
aqua_train
aqua_train_60423
A bank offers 5% C.I. calculated on half-yearly basis . A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is?
[ "A)Rs. 120", "B)Rs. 121", "C)Rs. 122", "D)Rs. 123", "E)Rs. 124" ]
B
sciq
sciq_4
What is the name of the disorder of the arteries in which cholesterol and other materials are deposited on the interior of the arterial wall?
[ "arthritis", "anemia", "paralysis", "atherosclerosis" ]
D
aqua_train
aqua_train_72450
A can finish a work in 20 days, B in 15 days and C in 12 days. B and C start the work but are forced to leave after 2 days. The remaining work was done by A in :
[ "A)10", "B)11", "C)12", "D)13", "E)14" ]
E
aqua_train
aqua_train_97359
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
[ "A)90", "B)52", "C)63", "D)87", "E)10" ]
A
science_train
science_train_1400
Question: Which body part gives the body its shape? Hints:
[ "stomach", "skeleton", "lungs" ]
B
aqua_train
aqua_train_82616
Raj invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
[ "A)7", "B)6", "C)9", "D)5", "E)4" ]
D
aqua_train
aqua_train_76403
In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much Look at this series: 3.5, 6.5, 9.5, 12.5, ... What number should come next?
[ "A)4.7", "B)3.6", "C)4.9", "D)15.5", "E)4.4" ]
D
aqua_train
aqua_train_49388
A motorcyclist goes from Bombay to Pune, a distance of 160 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
[ "A)1:2", "B)2:5", "C)1:4", "D)1:1", "E)1:6" ]
B
aqua_train
aqua_train_25860
There are two numbers. If 30% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
[ "A)A)3/7", "B)B)5/8", "C)C)6", "D)D)5/6", "E)E)7" ]
D
aqua_train
aqua_train_55428
If a2 + b2 + c2 = 390 and ab + bc + ca = 5, then a + b + c is
[ "A)19", "B)20", "C)25", "D)30", "E)64" ]
B
aqua_train
aqua_train_94848
Pipe A can fill a tank in 10 hours, pipe B in 15 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
[ "A)2", "B)2.5", "C)3", "D)5", "E)None" ]
D
aqua_train
aqua_train_52793
Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit?
[ "A)2388", "B)2380", "C)2385", "D)2383", "E)2381" ]
B
aqua_train
aqua_train_89105
Working alone, A can complete a certain kind of job in 3 hours. A and D, working together at their respective rates, can complete one of these jobs in 2 hours. In how many hours can D, working alone, complete one of these jobs?
[ "A) 2", "B) 4", "C) 6", "D) 8", "E) 10" ]
C
aqua_train
aqua_train_78988
If x = 1/q and y = (2/q) - 6, then for what value of q, x is equal to y ?
[ "A)1/3", "B)1/6", "C)6", "D)3", "E)2" ]
B
sciq
sciq_4
What kind of phenotype results in a case of incomplete dominance?
[ "short phenotype", "backward phenotype", "long phenotype", "intermediate phenotype" ]
D
ds_train
ds_train_228
Given a single-slit diffraction experiment with a slit width \(a\) and light of wavelength \(\lambda\), the positions of the minima in the diffraction pattern are described by the Airy formula. What is the condition for the angles \(\theta_m\) where these minima occur?
[ "A. \\(a \\sin(\\theta_m) = m \\lambda\\)\nB. \\(a \\cos(\\theta_m) = m \\lambda\\)\nC. \\(a \\sin(\\theta_m) = (m + \\frac{1}{2}) \\lambda\\)\nD. \\(a \\cos(\\theta_m) = (m + \\frac{1}{2}) \\lambda\\)" ]
A
aqua_train
aqua_train_15041
Katie has 9 employees that she must assign to 3 different projects. If 3 employees are assigned to each project and no one is assigned to multiple projects, how many different combinations B of project assignments are possible?
[ "A)252", "B)1,680", "C)2,340", "D)362,880", "E)592,704" ]
B
aqua_train
aqua_train_6213
54 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
[ "A)A)57", "B)B)77", "C)C)66", "D)D)55", "E)E)67" ]
C
aqua_train
aqua_train_31553
In business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 2:3, If Rs 15,0000 was their profit, how much amount did B receive.
[ "A)12653", "B)14587", "C)36975", "D)75000", "E)12874" ]
D
aqua_train
aqua_train_8424
In a local school district, the high school and middle school each received r dollars toward funding for the student arts program. The high school enrolled 100 students and the middle school enrolled 50 students. Later, the middle school transferred s dollars to the high school so that they would have received the same...
[ "A)r/3", "B)r/5", "C)r/7", "D)r/9", "E)r/2" ]
A
aqua_train
aqua_train_16956
Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 12?
[ "A)6", "B)8", "C)4", "D)3", "E)2" ]
B