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science_train
science_train_4444
Question: Complete the text to describe the diagram. Solute particles moved in both directions across the permeable membrane. But more solute particles moved across the membrane (). When there was an equal concentration on both sides, the particles reached equilibrium. Hints:
[ "to the right than to the left", "to the left than to the right" ]
B
aqua_train
aqua_train_73720
There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?
[ "A)Rs. 2160", "B)Rs. 3120", "C)Rs. 3972", "D)Rs. 6240", "E)Rs. 5240" ]
C
aqua_train
aqua_train_21649
Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
[ "A)22", "B)74", "C)77", "D)27", "E)29" ]
D
aqua_train
aqua_train_22777
a = 5^15 - 125^3 and a/x is an integer, where x is a positive integer greater than 1, such that it does NOT have a factor p such that 1 < p < x, then how many different values for x are possible?
[ "A)None", "B)One", "C)Two", "D)Three", "E)Four" ]
A
science_train
science_train_2242
Question: Select the one substance that is not a rock. Hints:
[ "An eggshell is made by a living thing. It is formed in nature.", "Soapstone is not a pure substance. It is a solid.", "Trachyte is not a pure substance. It is not made by living things." ]
A
aqua_train
aqua_train_72707
The unit digit in the product (784 x 618 x 917 x 463) is:
[ "A)5", "B)9", "C)16", "D)2", "E)42" ]
D
aqua_train
aqua_train_27804
In a carton containing a dozen mirrors is dropped, which of the following cannot be the ratio of broken mirrors to unbroken mirrors?
[ "A)2 : 1", "B)3 : 1", "C)3 : 2", "D)7 : 5", "E)None" ]
C
aqua_train
aqua_train_22477
If 75 percent of a girls answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
[ "A) 10%", "B)(8) 20%", "C) 30%", "D) 40%", "E) 50%" ]
E
aqua_train
aqua_train_95602
Out of 8 people working on a project, 3 are graduates. If 3 people are selected at random, what is the probability that there is at least one graduate among them?
[ "A)16/21", "B)19/24", "C)23/28", "D)29/34", "E)36/41" ]
C
aqua_train
aqua_train_75642
Rajesh spends 40% of his monthly salary on food, 20% of the medicines and saves 60% of the remaining amount. If his monthly salary is Rs.15,000, how much money does he save every month ?
[ "A)Rs.1000", "B)Rs.2596", "C)Rs.4320", "D)Rs.6489", "E)Rs.4789" ]
C
aqua_train
aqua_train_67575
The number of boxes in a warehouse can be divided evenly into 9 equal shipments by boat or 24 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?
[ "A) 27", "B) 33", "C) 72", "D) 81", "E) 162" ]
C
aqua_train
aqua_train_48257
During a trip on an expressway, Don drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 20 miles per hour, and his average speed for the remainder of the trip was 60 miles per hour. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 60 miles per hour for the entire trip?
[ "A)8.5%", "B)50%", "C)x/12%", "D)60/x%", "E)400/x%" ]
E
aqua_train
aqua_train_70720
Express a speed of 36 kmph in meters per second?
[ "A)62kmp", "B)73kmp", "C)10kmp", "D)37kmp", "E)73kmp" ]
C
aqua_train
aqua_train_34682
The interest on Rs. 750 for 2 years is the same as the true discount on Rs. 960 due 2 years hence. If the rate of interest is the same in both cases, it is:
[ "A)18%", "B)14%", "C)94%", "D)11%", "E)54%" ]
B
sciq
sciq_4
The punnett square shows the possible what, and their most likely ratios?
[ "receptors", "chromosomes", "phenotypes", "genotypes" ]
D
aqua_train
aqua_train_95684
A boy wants to go abroad by boat and return by flight. He has a choice of 4 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?
[ "A)20", "B)30", "C)43", "D)45", "E)80" ]
A
aqua_train
aqua_train_25873
In how many seconds will a train 180 meters long pass an oak tree, if the speed of the train is 36 km/hr?
[ "A)14", "B)16", "C)18", "D)20", "E)22" ]
C
aqua_train
aqua_train_59922
If a wholesaler distributes items to several outlets (A, B, C and D) in the ratio of 1/2 : 1/11 : 1/12 : 1/13 then find the total number of items the wholesaler distributes?
[ "A)289", "B)1289", "C)1389", "D)1281", "E)128" ]
B
aqua_train
aqua_train_29216
Tough and Tricky questions: Word Problems. In a rare coin collection, one in six coins is gold, and all coins are either gold or silver. If 10 silver coins were to be subsequently traded for an additional 10 gold coins, the ratio of gold coins to silver coins would be 1 to 5. Based on this information, how many gold coins would there be in this collection after the proposed trade?
[ "A)50", "B)60", "C)180", "D)200", "E)300" ]
D
aqua_train
aqua_train_34246
What is the next number of the following sequence 12, 36, 80, 150,.... ?
[ "A)252", "B)262", "C)272", "D)282", "E)292" ]
A
aqua_train
aqua_train_14049
A certain article of clothing was discounted during a special sale to 2/3 of its original retail price. When the clothing didn't sell, it was discounted even further to 1/2 of its original retail price during a second sale. By what percent did the price of this article of clothing decrease from the first sale to the second sale?
[ "A)50%", "B)22.22%", "C)25%", "D)16.66%", "E)12.5%" ]
B
science_train
science_train_4044
Question: What do these two changes have in common? an engine using gasoline to power a car melting glass Hints:
[ "Both are caused by cooling.", "Both are only physical changes.", "Both are chemical changes.", "Both are caused by heating." ]
D
aqua_train
aqua_train_94124
The price of a VCR is marked at Rs. 12,000. If the successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?
[ "A)Rs. 8400", "B)Rs. 8500", "C)Rs. 8721", "D)Rs. 8856", "E)None" ]
C
aqua_train
aqua_train_88584
A fill pipe can fill 1/2 of cistern in 20 minutes. In how many minutes, it can fill 1/2 of the cistern?
[ "A)5min", "B)10min", "C)15min", "D)20min", "E)25min" ]
D
aqua_train
aqua_train_91378
How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
[ "A)16.6", "B)16.0", "C)16.3", "D)16.8", "E)16.1" ]
D
aqua_train
aqua_train_52043
What is the place value of 5 in the numeral 4529
[ "A)200", "B)300", "C)500", "D)600", "E)700" ]
C
aqua_train
aqua_train_33033
476 ** 0 is divisible by both 3 and 11. The non-zero digits in the hundred's and ten's places are respectively:
[ "A)7 and 4", "B)7 and 5", "C)8 and 5", "D)6 and 4", "E)5 and 8" ]
C
aqua_train
aqua_train_39076
A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
[ "A)27 sec", "B)16 sec", "C)56 sec", "D)15 sec", "E)12 sec" ]
B
aqua_train
aqua_train_11579
If the wheel is 14 cm then the number of revolutions to cover a distance of 880 cm is?
[ "A)A)15", "B)B)10", "C)C)14", "D)D)12", "E)E)11" ]
B
sciq
sciq_4
What does the cell cycle do?
[ "only divide cells", "create new cells", "only reproduce cells", "divide and reproduce cells" ]
D
aqua_train
aqua_train_61616
Three numbers are in the ratio 3:4:5 and their L.C.M. is 1200. Their H.C.F is?
[ "A)20", "B)30", "C)40", "D)50", "E)60" ]
A
aqua_train
aqua_train_82850
A string of 15 light bulbs is wired in such a way that if any individual light bulb fails, the entire string fails. If for each individual light bulb the probability of failing during time period T is 0.06, what is the probability that the string of light bulbs will fail during the time period T?
[ "A)1 - (0.94)^15", "B)(0.06)^15", "C)1 - (0.06)^15", "D)(0.94)^15", "E)0.06^150" ]
A
aqua_train
aqua_train_66318
A boy is travelling from his home to school at 5km/hr and reached 5min late. Next day he travelled at 10km/hr and reached 10min early. Distance between home and school?
[ "A)2.5km", "B)3km", "C)4km", "D)5.6km", "E)6.5km" ]
A
aqua_train
aqua_train_96033
A can do a piece of work in 10 days and B can do it in 15 days and C can do it 20 days. They started the work together and A & B leaves after 2 days simultaneously from the beginning. How long will work lost?
[ "A)14 1/3", "B)10 1/3", "C)11 1/3", "D)12 1/3", "E)13 1/3" ]
E
science_train
science_train_5174
Question: Which material is this chair made of? Hints:
[ "wood", "porcelain" ]
A
aqua_train
aqua_train_35949
what is rate of interest if principal.amount be 400,simple interest 180 and time 2year.
[ "A)10", "B)12.5", "C)25", "D)22.5", "E)14.5" ]
D
aqua_train
aqua_train_54504
For every X, the action [X] is defined: [X] is the greatest integer less than or equal to X. What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.4] - 6.0?
[ "A)12.6.", "B)14.4.", "C)15.8.", "D)16.2.", "E)16.4." ]
E
aqua_train
aqua_train_9018
A student scores 55% marks in 8 papers of 100 marks each. He scores 15% of his total marks in English. How much does he score in English?
[ "A)-2", "B)6", "C)7", "D)6", "E)18" ]
A
aqua_train
aqua_train_93033
1/2+[(2/11*11/32)+1]-9/16=
[ "A)29/16", "B)19/16", "C)15/16", "D)9/13", "E)0" ]
E
aqua_train
aqua_train_19662
workers in a factory store products inside two different sized boxes. The bigger of the boxes can store 50 products while the smaller box can store 40 products. If a fresh batch of products numbering 212 in total were to be stored, what is the least number of products that will not be boxed?
[ "A)23", "B)11", "C)2", "D)10", "E)12" ]
E
aqua_train
aqua_train_70730
12 men complete a work in 9 days. After they have worked for 6 days, 6 more men joined them. How many days will they take to complete the remaining work?
[ "A)3days", "B)4days", "C)2days", "D)8days", "E)5days" ]
C
sciq
sciq_4
What is the term for the length of the route between two points?
[ "area", "length", "trajectory", "distance" ]
D
aqua_train
aqua_train_12938
A certain hall contains two cuckoo clocks. If the first clock chirps 20 times per hour and the second clock chirps 8 times per hour, and both clocks chirp for the first time at 2:03 pm, at what time will the first clock have chirped three times as many times as the second clock can chirp per hour?
[ "A)2:40 pm", "B)2:55 pm", "C)3:12 pm", "D)3:24 pm", "E)3:45 pm" ]
C
aqua_train
aqua_train_13901
In an election contested by two parties, Party X secured 20% of the total votes more than Party Y. If party Y got 130,000 votes, by how many votes did it lose the election?
[ "A)26,000", "B)40,000", "C)65,000", "D)220,000", "E)100,000" ]
C
aqua_train
aqua_train_82526
In an examination the number of successful students was 4 times the numbr of unsuccessful students If there were 35 less students nd the numbr of unsuccessful students were 9 more,then the ratio of their numbr would have been 2:1 . Find the total numbr of students
[ "A)155", "B)145", "C)135", "D)125", "E)112" ]
A
aqua_train
aqua_train_35749
The average height of 30 students in a class was calculated as 177 cm. It has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 106 cm. What was the actual average height of the students in the class?
[ "A)176.5 cm", "B)175.5 cm", "C)174.5 cm", "D)173.5 cm", "E)172.5 cm" ]
B
aqua_train
aqua_train_60486
By approximately what percent is x greater than 4/7 if (1/7)(x) = 1?
[ "A)1125%", "B)956%", "C)417%", "D)3788%", "E)219%" ]
A
aqua_train
aqua_train_67685
In a garden, carrots are planted in rows. In each row there are as many carrots as the number of rows in the garden. If each plant attracts as many bunnies as the number of carrots in each row and if the total number of bunnies is n, then :
[ "A)n is a perfect square", "B)n is an odd number", "C)n is an even number", "D)n is a perfect cube", "E)none" ]
D
aqua_train
aqua_train_59278
Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years. Year Item of Expenditure Salary Bonus Transport Fuel Interest on Loans Taxes 1998 288 98 3.00 23.4 83 1999 342 112 2.52 32.5 108 2000 324 101 3.84 41.6 74 2001 336 133 3.68 36.4 88 2002 420 142 3.96 49.4 98 The total amount of bonus paid by the company during the given period is approximately what percent of the total amount of salary paid during this period?
[ "A)A)1%", "B)B)1.5%", "C)C)1.25%", "D)D)3%", "E)E)4%" ]
A
aqua_train
aqua_train_74672
By the how much is two-fifth of 300 greater than three -fifths of 125?
[ "A)15", "B)3", "C)5", "D)45", "E)None of these" ]
D
aqua_train
aqua_train_31448
A building contractor employs 20 male, 15 female and 5 child workers. To a male worker he pays Rs.25 per day, to a female worker Rs.20 per day and a child worker Rs.8 per day. The average wage per day paid by the contractor is?
[ "A)12", "B)21", "C)87", "D)16", "E)12" ]
B
aqua_train
aqua_train_3549
In a certain game, you perform three tasks. You flip a coin, and success would be tail. You roll a single die, and success would be a six. You pick a card from a full playing-card deck, and success would be picking a spades card. If exactly one of these three tasks is successful, then you win the game. What is the probability of winning?
[ "A)11/16", "B)23/48", "C)15/32", "D)14/36", "E)17/56" ]
B
sciq
sciq_4
Water-soluble carboxylic acids ionize slightly in water to form these?
[ "solvents", "nonacidic solutions", "very acidic solutions", "moderately acidic solutions" ]
D
aqua_train
aqua_train_31751
A company that ships boxes to a total of 13 distribution centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? (assume that the order of the colors in a pair does not matter)
[ "A)6", "B)5", "C)8", "D)9", "E)10" ]
B
aqua_train
aqua_train_91430
Find number which is 60% less than 120.
[ "A)18", "B)22", "C)28", "D)48", "E)98" ]
D
aqua_train
aqua_train_27508
At 1:00 pm, there were 10.0 grams of bacteria. The bacteria increased to x grams at 4:00 pm, and 22.5 grams at 7:00 pm. If the amount of bacteria present increased by the same fraction during each of the 3-hour periods, how many grams of bacteria were present at 4:00 pm?
[ "A)14.4", "B)14.7", "C)15.0", "D)15.3", "E)15.6" ]
C
aqua_train
aqua_train_20536
The least number which must be subtracted from 509 to make it exactly divisible by 9 is:
[ "A)A)2", "B)B)3", "C)C)5", "D)D)5", "E)E)6" ]
C
aqua_train
aqua_train_64378
Rates for having a manuscript typed at a certain typing service are $10 per page for the first time a page is typed and $5 per page each time a page is revised. If a certain manuscript has 100 pages, of which 20 were revised only once, 30 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?
[ "A)$1200", "B)$1500", "C)$1400", "D)$1250", "E)$1350" ]
C
aqua_train
aqua_train_27047
Find the number of terms in the series 8, 12, 16, . . .72
[ "A)17", "B)18", "C)19", "D)20", "E)21" ]
A
aqua_train
aqua_train_15094
How many positive integers less than 5,000 are evenly divisible by neither 15 nor 22?
[ "A)4,514", "B)4,475", "C)4,521", "D)4,428", "E)4,349" ]
A
ds_train
ds_train_317
A radioactive substance has an initial quantity of \( N_0 \) atoms. According to the radioactive decay law, what is the quantity of the substance after time \( t \) if the decay constant is \( \lambda \)?
[ "A. \\( N(t) = N_0 e^{-\\lambda t} \\)\nB. \\( N(t) = N_0 e^{\\lambda t} \\)\nC. \\( N(t) = N_0 (1-\\lambda t) \\)\nD. \\( N(t) = N_0 \\lambda t \\)" ]
A
sciq
sciq_4
What force opposes a motion of a moving body? for example a car breaking on a road.
[ "tension", "vibration", "thermal", "friction" ]
D
aqua_train
aqua_train_96579
A train running at the speed of 60 km/hr crosses a pole in 36 seconds. What is the length of the train?
[ "A)186 m", "B)176 m", "C)100 m", "D)600 m", "E)765 m" ]
D
aqua_train
aqua_train_17636
If 12 men do a work in 80 days, in how many days will 16 men do it?
[ "A)33 days", "B)77 days", "C)99 days", "D)60 days", "E)19 days" ]
D
aqua_train
aqua_train_47643
Find 40 % of 440
[ "A)96", "B)94", "C)86", "D)176", "E)110" ]
D
sciq
sciq_4
The mercury or alcohol in a common glass what changes its volume as the temperature changes?
[ "calculator", "compass", "barometer", "thermometer" ]
D
aqua_train
aqua_train_53314
A train travels from station A to station B. If the train leaves station A and makes 75 km/hr, it arrives at station B 48 minutes ahead of scheduled. If it made 50 km/hr, then by the scheduled time of arrival it would still have 40 km more to go to station B. Find the distance between the two stations.
[ "A)210", "B)200", "C)220", "D)230", "E)240" ]
E
aqua_train
aqua_train_57517
In how many different ways can the letters of the word ATRIUMS be arranged in such a way that the vowels occupy only the even positions?
[ "A)72", "B)96", "C)120", "D)144", "E)180" ]
D
aqua_train
aqua_train_90909
To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of bucket is reduced to two-fifth of its present ?
[ "A)52.5", "B)62.5", "C)72.5", "D)82.5", "E)81.5" ]
B
aqua_train
aqua_train_17202
Find the highest common factor of 36 and 84.
[ "A)4", "B)6", "C)12", "D)16", "E)18" ]
C
aqua_train
aqua_train_89661
A and B together can do a work In 4 days. A alone can do it in 20 days.what time B will take to do the work alone?
[ "A)6 days", "B)8 days", "C)12 days", "D)10 days", "E)5 days" ]
E
aqua_train
aqua_train_89776
2y - 3x = 2xy and x ≠ 0. If x and y are integers, which of the following could equal y?
[ "A)2", "B)1", "C)0", "D)4", "E)- 2" ]
E
aqua_train
aqua_train_48295
Farm A had an average output of 300 kgs of rice per acre. Farm B had an average output of 350 kgs of rice per acre. It is known that Farm B's area is 15 acres less than Farm A's. It is also known that Farm B in total harvested 2000 kgs of rice more than Farm A. What is the area of Farm A?
[ "A) 130 acres", "B) 135 acres", "C) 148 acres", "D) 160 acres", "E) 145 acres" ]
E
aqua_train
aqua_train_29883
A three-person committee must be chosen from a group of 7 professors and 20 graduate students. If at least one of the people on the committee must be a professor, how many different groups of people could be chosen for the committee?
[ "A)A)70", "B)B)1785", "C)C)630", "D)D)1,260", "E)E)1,980" ]
B
aqua_train
aqua_train_44366
A person purchased a TV set for Rs. 2700 and a DVD player for Rs. 200 . He sold both the items together for Rs. 3180. What percentage of profit did he make?
[ "A)20%", "B)6%", "C)40%", "D)5%", "E)3%" ]
B
aqua_train
aqua_train_84360
A's salary is 40% of B's salary which is 25% of C's salary. What percentage of C's salary is A's salary ?
[ "A)10", "B)93", "C)78", "D)76", "E)28" ]
A
aqua_train
aqua_train_51193
If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 210 responses are needed, what is the minimum number of questionnaires that should be mailed?
[ "A)290", "B)320", "C)350", "D)380", "E)410" ]
C
aqua_train
aqua_train_92773
A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 4 cm. What is the length of the wire?
[ "A)116 cm", "B)144 cm", "C)168 cm", "D)173 cm", "E)189 cm" ]
B
aqua_train
aqua_train_67941
An escalator moves towards the top level at the rate of 12 ft.sec and its length is 196 feet. If a person walks on the moving escalator at the rate of 2 feet per second towards the top level, how much time does he take to cover the entire length.
[ "A)14 sec", "B)10 sec", "C)12 sec", "D)8 sec", "E)9 sec" ]
A
aqua_train
aqua_train_5142
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
[ "A)35 Km/hr", "B)48 Km/hr", "C)57 Km/hr", "D)72 Km/hr", "E)83 Km/hr" ]
D
science_train
science_train_3741
Question: Which is this organism's scientific name? Hints:
[ "blue jay", "Cyanocitta cristata" ]
B
aqua_train
aqua_train_92665
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 40 years now, the son's age 10 years back was?
[ "A)12yr", "B)15yr", "C)14yr", "D)10yr", "E)20yr" ]
D
aqua_train
aqua_train_60893
The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
[ "A)17 kmph", "B)40 kmph", "C)18 kmph", "D)13kmph", "E)19 kmph" ]
B
aqua_train
aqua_train_70386
A car traveled 420 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 6 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?
[ "A)14", "B)16", "C)21", "D)24", "E)27" ]
D
sciq
sciq_4
What is the final stage of cell division in eukaryotes as well as prokaryotes?
[ "mitosis", "electrolysis", "anaphase", "cytokinesis" ]
D
aqua_train
aqua_train_49531
A and B invest money in the ratio 3:4 and they has loss of Rs.8400 at the end of year. what is the share of loss of B?
[ "A)Rs.4800", "B)Rs.4700", "C)Rs.4600", "D)Rs.4500", "E)None of the above" ]
A
aqua_train
aqua_train_1623
A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 5 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)Rs.1178.55", "B)Rs.1978.25", "C)Rs.1332.5", "D)Rs.1678", "E)Rs.1675.55" ]
C
aqua_train
aqua_train_94484
A sells his goods 50% cheaper than B but 50% dearer than C. The cheapest is?
[ "A)33.8", "B)33.7", "C)33.3", "D)33.2", "E)33.1" ]
C
aqua_train
aqua_train_54064
How many 3 digit numbers can be formed from the digits 2,3,5,6,7 and 9 which are divisible by 5 and none of the digits is repeated?
[ "A)16", "B)12", "C)20", "D)25", "E)30" ]
C
aqua_train
aqua_train_89314
Joe’s average (arithmetic mean) test score across 4 equally weighted tests was 60. He was allowed to drop his lowest score. After doing so, his average test score improved to 65. What is the lowest test score that was dropped?
[ "A)20", "B)45", "C)55", "D)65", "E)80" ]
B
aqua_train
aqua_train_37775
In an examination, a student's average marks were 63. If he had obtained 20 more marks for his Geography and 2 more marks for his history, his average would have been 65. How many subjects were there in the examination?
[ "A)12", "B)11", "C)13", "D)14", "E)10" ]
B
aqua_train
aqua_train_48646
At what rate percent on simple interest will a sum of money double itself in 30 years?
[ "A)3 1/3%", "B)3 1/8%", "C)3 7/3%", "D)3 1/7%", "E)3 1/1%" ]
A
aqua_train
aqua_train_52471
A FAIR AND LOVELY manufacturer produces 100 units of a certain model each month at a cost to the manufacturer of £10 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus production costs) on the sales of these units will be at least £10,000?
[ "A)90", "B)60", "C)110", "D)30", "E)34" ]
C
aqua_train
aqua_train_66641
Three Englishmen and three Frenchmen work for the same company. Each of them knows a secret not known to others. They need to exchange these secrets over person-to-person phone calls so that eventually each person knows all six secrets. None of the Frenchmen knows English, and only one Englishman knows French. What is the minimum number of phone calls needed for the above purpose?
[ "A)5", "B)8", "C)11", "D)15", "E)17" ]
B
aqua_train
aqua_train_76311
Find large number from below question The difference of two numbers is 1395. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
[ "A)1235", "B)1345", "C)1678", "D)1767", "E)1671" ]
E
mcq_train
mcq_train_81
Question: The little Fermat theorem states that for a prime $n$ and any $b\in \mathbb{Z}_n ^\star$ we have\dots Options: $b^{n-1}\mod n = 1$., $b^{n-1}\mod n = n$., $b^{n}\mod n = 1$., $b^{n-1}\mod n = b$.
[ "$b^{n-1}\\mod n = 1$.", "$b^{n-1}\\mod n = n$.", "$b^{n}\\mod n = 1$.", "$b^{n-1}\\mod n = b$." ]
A
aqua_train
aqua_train_11474
Rs. 6000 is lent out in two parts. One part is lent at 4% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
[ "A)5:1", "B)5:5", "C)5:7", "D)5:4", "E)5:2" ]
C
aqua_train
aqua_train_63802
It is known that no more than 8 children will be attending a party. What is the smallest number of cookies that must be brought to the party so that each child receives the same number of cookies?
[ "A)35", "B)105", "C)180", "D)210", "E)840" ]
E
aqua_train
aqua_train_91621
Find the value for m? 19(m + n) + 17 = 19(-m + n) - 97
[ "A)-3", "B)-1", "C)1", "D)2", "E)3" ]
A
aqua_train
aqua_train_9859
How many two letter words are formed using the letters of the word MACHINE?
[ "A)52", "B)56", "C)38", "D)42", "E)48" ]
D