dataset
stringclasses
5 values
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6
18
question
stringlengths
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1.92k
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answer
stringclasses
5 values
aqua_train
aqua_train_43810
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
[ "A)76 kmph", "B)17 kmph", "C)14 kmph", "D)18 kmph", "E)10 kmph" ]
C
aqua_train
aqua_train_2102
It takes nine minutes to load a certain video on a cellphone, and fifteen seconds to load that same video on a laptop. If the two devices were connected so that they operated in concert at their respective rates, how many seconds would it take them to load the video, rounded to the nearest hundredth?
[ "A)13.58", "B)13.87", "C)14.24", "D)14.59", "E)14.85" ]
D
aqua_train
aqua_train_69856
John deposited $10,000 to open a new savings account that earned 6 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John’s account 6 months after the account was opened?
[ "A)$10,100.30", "B)$10,101.50", "C)$10,200.75", "D)$10,302.25", "E)$10,400.25" ]
D
aqua_train
aqua_train_39998
FEDERAL bank offers an interest of 5% per annum compounded annually on all its deposits. If $10,000 is deposited, what will be the ratio of the interest earned in the 4th year to the interest earned in the 5th year?
[ "A)1:5", "B)625:3125", "C)100:105", "D)100^4:105^4", "E)725:3225" ]
C
ds_train
ds_train_1093
Given a pre-designed infiltration basin that serves a catchment area of 2 hectares with an average annual rainfall of 800 mm, if the basin needs to be able to capture and infiltrate the first 25 mm of each rainfall event, what is the minimum volume (in cubic meters) that the infiltration basin should be designed to hol...
[ "A. 50 m\\u00b3\nB. 200 m\\u00b3\nC. 400 m\\u00b3\nD. 500 m\\u00b3" ]
D
science_train
science_train_1728
Question: Select the solid. Hints:
[ "milk", "water in a bathtub", "rubber duck" ]
C
aqua_train
aqua_train_86456
76.8% of my office colleges are non-vegetarian. What's the least number of person working in my office to hold above statement true.
[ "A)110 people", "B)126 people", "C)120 people", "D)122 people", "E)130 people" ]
B
aqua_train
aqua_train_54971
Which of the following lines has x-intercept and y-intercept that are integers R?
[ "A)y=3x+1", "B)y=√x+1", "C)y=-2/x", "D)y=x^2-1", "E)xy=1" ]
D
aqua_train
aqua_train_80710
How many kg of pure salt must be added to 100kg of 10% solution of salt and water to increase it to a 20% solution?
[ "A)6.7", "B)1.3", "C)9.6", "D)12.5", "E)7.9" ]
D
aqua_train
aqua_train_21347
Kingfisher company plans to assign identification numbers to its employees. Each number is to consist of four different digits from 0 to 9, inclusive, except that the first digit cannot be 0. How many different identification numbers are possible?
[ "A) 3,024", "B) 4,536", "C) 5,040", "D) 9,000", "E) 10,000" ]
B
aqua_train
aqua_train_77090
What is the unit digit in 12^100?
[ "A)0", "B)1", "C)2", "D)4", "E)6" ]
E
aqua_train
aqua_train_78300
Find the principal which yields a simple interest of Rs. 20 and compound interest of Rs. 25 in two years, at the same percent rate per annum?
[ "A)s. 40", "B)s. 48", "C)s. 49", "D)s. 20", "E)s. 60" ]
A
aqua_train
aqua_train_72506
The side of a square is increased by 25% then how much % does its area increases?
[ "A)56.25 %", "B)56.25 %", "C)56.85 %", "D)52.25 %", "E)56.55 %" ]
B
aqua_train
aqua_train_14903
A grocer has a sale of Rs. 3435, Rs. 3927, Rs. 3855, Rs. 4230 and Rs. 3562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 3500?
[ "A)s. 1991", "B)s. 2991", "C)s. 3991", "D)s. 4991", "E)s. 5991" ]
A
aqua_train
aqua_train_88764
Pat's watch gains an extra 10 seconds every 4 hours. Kim's watch loses 5 seconds every 4 hours. If both watches are set to correct time at 8 o'clock in the morning and run without interruption, after 24 hours, what will be the difference in time between Pat's watch and Kim's watch?
[ "A) 5 min 30 sec", "B) 4 min 30 sec", "C) 3 min 30 sec", "D) 2 min 30 sec", "E) 1 min 30 sec" ]
E
sciq
sciq_4
What is the smallest unit of structure and function of all living organisms?
[ "atom", "particle", "proton", "cell" ]
D
aqua_train
aqua_train_68255
If p is the product of the integers from 1 to 34, inclusive, what is the greatest integer k for which 3^k is a factor of p?
[ "A)11", "B)13", "C)15", "D)17", "E)19" ]
C
aqua_train
aqua_train_11217
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 9 minutes, then the area of the park (in sq. m) is:
[ "A)153601", "B)153600", "C)153602", "D)153603", "E)194400" ]
E
aqua_train
aqua_train_85147
Two numbers are respectively 40% and 30% more than a third number. The second number expressed in terms of percentage of the first is ?
[ "A)95%", "B)93%", "C)90%", "D)80%", "E)none of these" ]
B
aqua_train
aqua_train_38632
A man can row 10 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
[ "A)5.02", "B)4.92", "C)4.82", "D)4.72", "E)4.61" ]
B
aqua_train
aqua_train_83734
A man is 18 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is
[ "A)20 years", "B)16 years", "C)22 years", "D)24 years", "E)26 years" ]
B
aqua_train
aqua_train_76852
On Monday, a certain animal shelter housed 72 cats and dogs. By Friday, 1/6 of the cats and 1/5 of the dogs had been adopted; no new cats or dogs were brought to the shelter during this period. What is the greatest possible number of pets that could have been adopted from the animal shelter between Monday and Friday?
[ "A)11", "B)12", "C)13", "D)14", "E)15" ]
D
aqua_train
aqua_train_6607
In how many ways can the six letters of the word "mammal" be arranged in a row?
[ "A)20", "B)40", "C)31", "D)60", "E)64" ]
D
sciq
sciq_4
What are the three classifications of elements?
[ "metals, non-metals and alkaloids", "metals, metaloids, and alkaloids", "alkaloids, metaloids, and non-metals", "metals, non-metals and metaloids" ]
D
aqua_train
aqua_train_2539
The speed at which a boy can row a boat in still water is 60 kmph. If he rows downstream, where the speed of current is 12 kmph, what time will he take to cover 220 metres?
[ "A)7", "B)8", "C)9", "D)10", "E)11" ]
E
aqua_train
aqua_train_59331
if 12 men working 2 hours a day take 10 days to complete a job, how long will 8 men working 6 hours a day take to do the same work?
[ "A)3", "B)4", "C)5", "D)6", "E)7" ]
C
aqua_train
aqua_train_76209
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 11 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
[ "A)23 years", "B)24 years", "C)25 years", "D)26 years", "E)27 years" ]
E
aqua_train
aqua_train_78207
12 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise? (1 litre = 1000cm³)
[ "A)6", "B)8", "C)10", "D)20", "E)40" ]
B
aqua_train
aqua_train_27107
In the youth summer village there are 300 people, 200 of them are not working,100 of them have families and 125 of them like to sing in the shower. What is the largest possible number of people in the village, which are working, that don't have families and that are singing in the shower?
[ "A)150", "B)125", "C)175", "D)200", "E)100" ]
E
aqua_train
aqua_train_96367
The center of a circle is (5, -2). (5, 7) is outside the circle, and (2, -2) is inside the circle. If the radius, r, is an integer, how many possible values are there for r?
[ "A) 4", "B) 2", "C) 2", "D) 10", "E) 12" ]
A
aqua_train
aqua_train_51457
In how many ways can A, B, C, D and E be seated in a row such that A and B are not seated next to each other?
[ "A)24", "B)72", "C)56", "D)76", "E)96" ]
B
aqua_train
aqua_train_75352
An army’s recruitment process included N rounds of selection tasks. For the first A rounds, the rejection percentage was 60 percent per round. For the next B rounds, the rejection percentage was 50 percent per round and for the remaining rounds, the selection percentage was 70 percent per round. If there were 10000 peo...
[ "A)4", "B)5", "C)6", "D)7", "E)10" ]
D
aqua_train
aqua_train_1487
A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
[ "A)2 hours", "B)6 hours", "C)8 hours", "D)9 hours", "E)3 hours" ]
A
aqua_train
aqua_train_9231
Village P’s population is 800 greater than Village Q's population. If Village Q’s population were reduced by 500 people, then Village P’s population would be 3 times as large as Village Q's population. What is Village Q's current population?
[ "A)1100", "B)1150", "C)1200", "D)1250", "E)1300" ]
B
aqua_train
aqua_train_17935
If the average (arithmetic mean) of the four numbers 3, 16, 33, and (N + 1) is 20, then N =
[ "A) 19", "B) 20", "C) 21", "D) 27", "E) 29" ]
D
aqua_train
aqua_train_42418
A certain college's enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 15 percent greater than it was at the beginning of 1992. The college's enrollment at the beginning of 1993 was what percent greater than its enrollment at ...
[ "A)17.5%", "B)24%", "C)30%", "D)35%", "E)38%" ]
E
aqua_train
aqua_train_31003
Stock / Number of shares V ------------ 68 W ---------- 112 X ------------ 56 Y ------------ 94 Z ------------ 45 The table shows the number of shares of each of the 5 stocks owned by Mr Sami. If Mr. Sami was to sell 20 shares of Stock X and buy 19 shares of stock Y, what would be the increase in the range of the numbe...
[ "A)4", "B)6", "C)9", "D)10", "E)20" ]
D
aqua_train
aqua_train_87933
A shopping cart contains only apples, oranges, and pears. If there are four times as many oranges as apples, and four times as many pears as oranges, then the apples are equivalent to what fraction of the pears?
[ "A)1/2", "B)1/4", "C)1/8", "D)1/16", "E)1/32" ]
D
aqua_train
aqua_train_8640
If a is a digit in the number (a5,608 + 584)/88 = an integer, what is the value of a?
[ "A)2", "B)1", "C)3", "D)7", "E)9" ]
B
aqua_train
aqua_train_91056
If it is a 3x3 matrix, for which elements in first row are (V, 50, W), second row (196,X, Y)and in third row are (269, Z, 123).It is given that the sum of the numbers in each row, column, diagonal are same. Then find the value of (Y + Z).
[ "A)1012", "B)1011", "C)1212", "D)1122", "E)1021" ]
D
ds_train
ds_train_156
Consider a sheaf of groups \( \mathcal{F} \) on a topological space \( X \). Let \( U \) be an open set in \( X \) and \( \{ U_i \}_{i \in I} \) be an open cover of \( U \). Suppose we have an element \( s_i \in \mathcal{F}(U_i) \) for each \( i \in I \) such that \( s_i |_{U_i \cap U_j} = s_j |_{U_i \cap U_j} \) for a...
[ "A. The elements \\( s_i \\) must be independent and not related to each other.\nB. There exists a unique element \\( s \\in \\mathcal{F}(U) \\) such that \\( s|_{U_i} = s_i \\) for all \\( i \\in I \\).\nC. The elements \\( s_i \\) must satisfy a certain boundary condition.\nD. The element \\( s \\in \\mathcal{F}(...
B
aqua_train
aqua_train_93883
A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 18% less than the price each head sold for the day befo...
[ "A)$105", "B)$115", "C)$125", "D)$130", "E)$135" ]
A
aqua_train
aqua_train_12055
A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 50 paise per sq. metre
[ "A)s425", "B)s780", "C)s880", "D)s480", "E)s980" ]
A
aqua_train
aqua_train_92928
If 42.18 = k(14 + m/50), where k and m are positive integers and m < 50, then what is the value of k + m ?
[ "A)6", "B)7", "C)8", "D)9", "E)10" ]
A
aqua_train
aqua_train_3547
If a store owner increases a product’s price by 20 percent and then increases this price by another 15 percent, what percent of the original price is the total price increase?
[ "A)20%", "B)35%", "C)38%", "D)65%", "E)135%" ]
C
aqua_train
aqua_train_84654
There are r red ball, b blue ball and w white ball in a bag. What is the ratio of the number of blue ball to the total no. of ball in terms of r, b and w.?
[ "A)r / (r + b + w)", "B)r * (r + b + w)", "C)(r + b + w)", "D)r / (r + b )", "E)r / (b + w)" ]
A
aqua_train
aqua_train_64246
The length of rectangle is thrice its breadth and its perimeter is 80 m, find the area of the rectangle?
[ "A)300 sq m", "B)356 sq m", "C)452 sq m", "D)428 sq m", "E)528 sq m" ]
A
aqua_train
aqua_train_5117
A certain protective additive increases from 50 days to 60 days the time between required maintenance checks on an industrial vehicle. By what percent is the time between maintenance checks increased by using the additive?
[ "A)25%", "B)33 1/3%", "C)50%", "D)66 2/3%", "E)20%" ]
E
aqua_train
aqua_train_3666
In a certain sequence, each term except for the first term is one less than twice the previous term. If the first term is 1, then the 3rd term is which of the following?
[ "A)−1.5", "B)−1", "C)1.", "D)0.5", "E)2" ]
C
aqua_train
aqua_train_92653
The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 324 different signs. If the company used 322 of the signs fully and two remained unused, how many additional area codes can be created if the company uses ...
[ "A)246", "B)248", "C)1292", "D)15,128", "E)30,256" ]
C
aqua_train
aqua_train_5694
There are 100 men in town. Out of which 85% were married, 70% have a phone, 75% own a car, 80% own a house. What is the maximum number of people who are married, own a phone, own a car and own a house?
[ "A)20", "B)15", "C)10", "D)5", "E)None of these" ]
C
aqua_train
aqua_train_68043
Kim bought a total of $2.95 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 1-cent stamps she could have bought?
[ "A)5", "B)10", "C)15", "D)20", "E)45" ]
E
aqua_train
aqua_train_30444
Running at the same rate, 8 identical machines can produce 560 paperclips a minute. At this rate, how many paperclips could 10 machines produce in 6 minutes?
[ "A)1344", "B)4200", "C)8400", "D)50400", "E)67200" ]
B
aqua_train
aqua_train_81676
Rahul went to a shop and bought things worth Rs. 30, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
[ "A)25.7", "B)24.7", "C)23.7", "D)22.7", "E)26.7" ]
B
aqua_train
aqua_train_41541
A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be
[ "A)22", "B)24", "C)26", "D)20", "E)28" ]
C
aqua_train
aqua_train_67140
How many multiples of 3 are there between 10 and 100, exclusive ?
[ "A)30", "B)29", "C)28", "D)31", "E)33" ]
A
aqua_train
aqua_train_2216
Ramesh can finish a work in 20 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?
[ "A)22", "B)11", "C)77", "D)88", "E)12" ]
D
aqua_train
aqua_train_31128
If Finn was 17 months old one year ago, how old was he, in months, x months ago?
[ "A)x − 30", "B)x − 12", "C)18 − x", "D)29 − x", "E)30 − x" ]
D
aqua_train
aqua_train_95817
If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 5:7 then find the largest number?
[ "A)34", "B)38", "C)40", "D)42", "E)44" ]
C
aqua_train
aqua_train_27113
A rectangular photograph is surrounded by a border that is 3 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 6 inches wide on each side, the total area would have been (M + 178) square inches. What is the perimeter of the photograph, in inches?
[ "A)34", "B)36", "C)38", "D)40", "E)20" ]
E
aqua_train
aqua_train_26671
If there are 200 questions in a 3 hr examination. Among these questions are 25 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems?
[ "A)40 min", "B)62 min", "C)70 min", "D)74 min", "E)76 min" ]
A
ds_train
ds_train_472
In organic chemistry, the prefix \"alk-\" often appears in the names of hydrocarbons. What does the prefix \"alk-\" specifically refer to in the context of hydrocarbon structure?
[ "A. Hydrocarbons with only single bonds (alkanes)\nB. Hydrocarbons with at least one double bond (alkenes)\nC. Hydrocarbons with at least one triple bond (alkynes)\nD. All saturated hydrocarbons (both alkanes and cycloalkanes)" ]
D
aqua_train
aqua_train_30872
Reeya obtained 50, 60, 70, 80 and 80 out of 100 in different subjects, What will be the average
[ "A)70", "B)75", "C)80", "D)85", "E)68" ]
E
ds_train
ds_train_740
In floristics, the study of the distribution, number, types, and relationships of plant species within a particular geographic area is essential. What common method is used to statistically analyze the floristic composition of a given region and to classify plant communities?
[ "A. Genetic mapping\nB. Cluster analysis\nC. Spectral analysis\nD. Radiometric dating" ]
B
aqua_train
aqua_train_418
Find the odd man out? 396, 462, 572, 427, 671, 264.
[ "A)2378", "B)427", "C)297", "D)2678", "E)187" ]
C
aqua_train
aqua_train_34810
A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more thanC. Out of a total profit of Rs. 35,000, A receives?
[ "A)14700", "B)14298", "C)23877", "D)27297", "E)17281" ]
A
aqua_train
aqua_train_30953
Two men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is?
[ "A)5 days", "B)8 days", "C)6 days", "D)3 days", "E)2 days" ]
A
aqua_train
aqua_train_8969
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:
[ "A)228gallons", "B)267gallons", "C)120gallons", "D)767gallons", "E)167gallons" ]
C
aqua_train
aqua_train_38526
If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 5:7 then find the largest number?
[ "A)20", "B)25", "C)30", "D)40", "E)45" ]
D
aqua_train
aqua_train_46907
At what rate percent per annum will the simple interest on a sum of money be 7/5 of the amount in 10 years?
[ "A)4%", "B)7%", "C)9%", "D)3%", "E)14%" ]
E
aqua_train
aqua_train_48782
At the beginning of 2011, Albert invests $15,000 at 10% simple annual interest, $6,000 at 7% simple annual interest, and $x at 8% simple annual interest. If, by the end of 2011, Albert receives interest totaling 9% of the sum of his three investments, then the ratio of $x to the sum of his two other investments is
[ "A)1 : 3", "B)1 : 4", "C)1 : 6", "D)1 : 7", "E)1 : 8" ]
D
aqua_train
aqua_train_50088
Two dice are thrown together .What is the probability that the sum of the number on the two faces is divided by 4 or 6
[ "A)7/18", "B)2/7", "C)7/9", "D)4/7", "E)4/5" ]
A
aqua_train
aqua_train_8846
8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 6 men, 4 women and 10 children together complete the piece of work?
[ "A)5 days", "B)15 days", "C)28 days", "D)8 days", "E)7 days" ]
D
aqua_train
aqua_train_35781
In a G6 summit held at london. A french, a german, an italian, a british, a spanish, a polish diplomat represent their respective countries. (i) Polish sits immediately next to british (ii) German sits immediately next to italian, British or both (iii) French does not sit immediately next to italian (iv) If spanish sit...
[ "A)DKSOO", "B)UDFHD", "C)DKJHIU", "D)FSPBGI", "E)OIHDSD" ]
D
aqua_train
aqua_train_17259
Pipe A fills a tank in 56 minutes. Pipe B can fill the same tank 7 times as fast as pipe A. If both the pipes are kept open when the tank is empty, how many minutes will it take to fill the tank?
[ "A)4", "B)5", "C)6", "D)7", "E)8" ]
D
aqua_train
aqua_train_45583
If b, x, y, and z are positive integers and (x)×(y)×(z)=b^2, which of the following could be the values of x, y, and z?
[ "A)3", "16", "25", "B)9", "25", "24", "C)2", "81", "32", "D)2", "9", "16", "E)8", "16", "36" ]
C
aqua_train
aqua_train_2414
For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.22000, my total savings for the two-year is
[ "A)s. 8000", "B)s. 9000", "C)s. 9900", "D)s. 9990", "E)s. 10000" ]
B
aqua_train
aqua_train_71288
How many different 6 letter combinations can be created from the letters A,B,C,D,E and F?
[ "A)216", "B)36", "C)46656", "D)1296", "E)7776" ]
C
aqua_train
aqua_train_38366
A bag contains 10 red jellybeans and 10 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability Y that all 3 jellybeans removed from the bag are blue?
[ "A)9/100", "B)2/19", "C)1/8", "D)3/20", "E)3/10" ]
B
aqua_train
aqua_train_90612
The average of seven numbers is 18. The average of first three numbers is 16 and the average of last three numbers is 20. What is the middle number?
[ "A)20", "B)22", "C)25", "D)18", "E)24" ]
D
aqua_train
aqua_train_34732
Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
[ "A)50", "B)23", "C)26", "D)28", "E)27" ]
A
aqua_train
aqua_train_8818
In how many ways can you line up 7 people in a row if one of them, Stephen, cannot be in the middle or at the either end?
[ "A)2,880", "B)92", "C)1,100", "D)2,990", "E)3,200" ]
A
aqua_train
aqua_train_42127
How many words can be formed by using all letters of the word ‘COMPUTER’ ?
[ "A)32240", "B)36180", "C)40320", "D)45860", "E)48240" ]
C
science_train
science_train_5033
Question: Which of the following was a dependent variable in this experiment? Hints:
[ "the type of food used in the bird feeders", "the number of woodpeckers that visited the bird feeders" ]
B
ds_train
ds_train_1183
In the context of signal processing, Wavelet Transform is often preferred over Fourier Transform for analyzing signals with what characteristics?
[ "A. Stationary signals\nB. Signals with transient features or non-stationary signals\nC. Signals with no frequency components\nD. Periodic signals" ]
B
aqua_train
aqua_train_30218
In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?
[ "A)33", "B)28", "C)76", "D)54", "E)912" ]
D
aqua_train
aqua_train_75605
200 is what percent of 50?
[ "A)0.2%", "B)2%", "C)5%", "D)20%", "E)400%" ]
E
aqua_train
aqua_train_53400
For 6-digit integer 46x,y12, when x and y are drawn at random from {3,5,8}, what is the probability Q that the integer drawn is divisible by 8? * A solution will be posted in two days.
[ "A)1/6", "B)1/3", "C)1/2", "D)2/3", "E)5/6" ]
D
aqua_train
aqua_train_3118
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 140 m length?
[ "A)82.1 sec.", "B)12.5 sec", "C)19.1 sec.", "D)17.1 sec.", "E)42.1 sec." ]
B
aqua_train
aqua_train_79868
In Solution P, the proportion of water to alcohol is 5:1. In Solution Q, the proportion of water to alcohol is 2:1. If the two solutions are combined, what is the concentration of alcohol in the new solution if the original solutions were mixed in equal amounts?
[ "A)21%", "B)23%", "C)25%", "D)27%", "E)29%" ]
C
ds_train
ds_train_47
Consider a Hamiltonian system with \(n\) degrees of freedom that possesses \(n\) independent integrals of motion in involution. According to the Liouville-Arnold theorem, what is the nature of the solutions to this system in the phase space?
[ "A. The solutions are chaotic and exhibit sensitive dependence on initial conditions.\nB. The solutions fill the entire phase space uniformly over time.\nC. The solutions lie on \\(n\\)-dimensional tori and are quasi-periodic.\nD. The solutions exhibit exponential divergence from one another." ]
C
aqua_train
aqua_train_40982
If Sharon's weekly salary increased by 16 percent, she would earn $406 per week. If instead, her weekly salary were to decreased by 10 percent, how much would she earn per week?
[ "A)Rs.415", "B)Rs.325", "C)Rs.352", "D)Rs.315", "E)Rs.425" ]
D
aqua_train
aqua_train_89106
There are 8 students. 4 of them are men and 4 of them are women. If 4 students are selected from the 8 students. What is the probability that the number of men is equal to that of women?
[ "A)18/35", "B)16/35", "C)14/35", "D)13/35", "E)12/35" ]
A
aqua_train
aqua_train_82810
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
[ "A)120 metres", "B)180 metres", "C)324 metres", "D)228 metres", "E)150 metres" ]
E
aqua_train
aqua_train_13992
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 42 years now, the son's age five years back was:
[ "A)14", "B)16", "C)19", "D)22", "E)24" ]
B
aqua_train
aqua_train_6033
A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 65 percent of books that were loaned out are returned and there are 54 books in the special col...
[ "A)20", "B)30", "C)35", "D)40", "E)60" ]
E
aqua_train
aqua_train_13530
In a series of seven football matches between Germany and Argentina , the probability of Germany winning a match is 1/3 and the probability that the match ends in a draw is 1/4. If a win gets the team 2 points, a draw 1 point and a loss 0 Points, What is the probability that Germany will end up in 7 draws in the series...
[ "A)24/576", "B)125/864", "C)1/25", "D)1/16384", "E)1/5" ]
D
aqua_train
aqua_train_8136
What is the difference between the local values of 6 in the number 56406?
[ "A)2992", "B)2997", "C)5994", "D)2077", "E)5211" ]
C
aqua_train
aqua_train_83809
In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.85$. Assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty, how much money total will it cost to fuel all cars?
[ "A)320$", "B)420$", "C)582$", "D)650$", "E)780$" ]
C
aqua_train
aqua_train_71133
On an order of 5 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of:
[ "A)18 1/6%", "B)16 2/3%", "C)10 2/3%", "D)29 1/3%", "E)16 2/3%" ]
E