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ccpfoye
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MNLP_M2_quantized_dataset

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e6769a03-bd2f-4f1a-a9f9-e2120d642285
Consider 6 points, two of which are A and B, such that each pair of points is connected by a line segment and no three points are collinear. Compute the number of distinct paths from A to B such that no point is visited more than once.
[ "A)61", "B)62", "C)63", "D)64", "E)65" ]
E)65
aqua_rat
bbfa94fc-ebc1-4d4f-b428-e18e96014b16
If it takes a tub 6 minutes to drain 5/7 of its content, how much more time will it take for the tub to be empty?
[ "A)48 seconds", "B)1 minute, 12 seconds", "C)1 minute, 50 seconds", "D)2 minutes, 24 seconds", "E)4 minutes, 12 seconds" ]
D)2 minutes, 24 seconds
aqua_rat
e52d2bbb-1174-46d6-953b-eb0a6d5dbc9c
A qualified worker digs a well in 6 hours. He invites 2 apprentices, both capable of working 3/4 as fast and 2 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job?
[ "A)1:24", "B)1:34", "C)1:44", "D)1:54", "E)2:14" ]
D)1:54
aqua_rat
08558938-a6be-4ef5-ab21-7c1e2476dca1
Find the compound interest and the amount on Rs.6000 at 5% per annum for 3 years when C.I is reckoned yearly?
[ "A)s.1261.75", "B)s.1440.75", "C)s.1185.75", "D)s.1346.75", "E)s.945.75" ]
E)s.945.75
aqua_rat
7935a73d-203c-4655-bc6f-7c1836f91a0c
how many internal diagonals does a octagon (eight sided polygon) have?
[ "A)90", "B)85", "C)70", "D)35", "E)20" ]
E)20
aqua_rat
454d0f37-daa0-43ca-b583-ec838d7c4973
x, a, z, and b are single digit positive integers. x = ¼ a. z = ¼ b. (10a + b) + (10x + z) could be equal to
[ "A)33", "B)36", "C)44", "D)63", "E)95" ]
E)95
aqua_rat
e121468e-1ae8-456f-8edc-70b90feb3f70
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 10 sec. What is the length of the fast train?
[ "A)55 7/6 m", "B)55 7/4 m", "C)55 7/2 m", "D)55 7/9 m", "E)55 5/9 m" ]
E)55 5/9 m
aqua_rat
0be687ed-3709-4e0f-a438-7c57ed67e61d
When 15% is lost in grinding wheat, a country can export 30 lakh tons of wheat. On the other hand, if 10% is lost in grinding, it can export 40 lakh tons of wheat. The production of wheat in the country is
[ "A)20 lakh tons", "B)80 lakh tons", "C)200 lakh tons", "D)800 lakh tons", "E)None" ]
C)200 lakh tons
aqua_rat
14f98afa-d099-41b4-89bc-33be5f8213b8
There are 27 different three-digit integers that can be formed using only the digits 1, 2 and 4. If all 27 of the integers were listed, what would their sum be?
[ "A)6693", "B)6793", "C)6893", "D)6993", "E)7093" ]
D)6993
aqua_rat
e4472aef-345a-48ca-a2fd-9f642bbe3f96
What is the probability of rolling tow six-sided dice, and getting a different number on each die?
[ "A)1/12", "B)5/6", "C)4/9", "D)5/9", "E)7/18" ]
B)5/6
aqua_rat
053517f1-51d1-4ac5-91d7-6e1572998579
0, 5, 15, 30, 50, 75, 105, 140, ? What number should replace the question mark?
[ "A)180", "B)185", "C)190", "D)175", "E)170" ]
A)180
aqua_rat
a3e8b446-c9ba-4f13-9e7a-8ea537244f61
In May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 40 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?
[ "A)64%", "B)68%", "C)72%", "D)76%", "E)80%" ]
B)68%
aqua_rat
ef727096-f641-40d7-8fe8-9c16098515a2
Find the odd man out: 111, 133, 143, 155, 188, 200.
[ "A)111", "B)143", "C)200", "D)All of these.", "E)tortilla chips" ]
B)143
aqua_rat
095a1163-1795-481d-8e87-07269af1b22e
A construction company wants to number new houses using digit plates only. If the company puts an order for 1212 plates, how many houses are to be given numbers? (The numbers of houses are consecutive and the number of the first house is 1).
[ "A)260", "B)440", "C)556", "D)792", "E)1200" ]
B)440
aqua_rat
8814e02a-6253-4e46-8a93-b7161167c977
If 20% of a = b, then b% of 20 is the same as
[ "A)2% of a", "B)3% of a", "C)4% of a", "D)5% of a", "E)7% of a" ]
C)4% of a
aqua_rat
0feb7d9f-1619-49e9-9340-491d19cb4092
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)60 gallons", "B)80 gallons", "C)120 gallons", "D)160 gallons", "E)None" ]
C)120 gallons
aqua_rat
256d5ae7-1a36-4f90-b198-4a8f612a8352
The price of commodity X increases by 45 cents every year, while the price of commodity Y increases by 20 cents every year. In 2001, the price of commodity X was $5.20 and the price of commodity Y was $7.30. In which year will the price of commodity X be 90 cents more than the price of commodity Y?
[ "A)2010", "B)2011", "C)2012", "D)2013", "E)2014" ]
D)2013
aqua_rat
01b304fe-ca04-450f-8ba5-848b441bc7f3
An investment yields an interest payment of $216 each month. If the simple annual interest rate is 9%, what is the amount of the investment?
[ "A)$28,300", "B)$30,400", "C)$28,800", "D)$32,500", "E)$35,100" ]
C)$28,800
aqua_rat
781fc6a8-85d2-4552-8564-bab176ebe495
A group of 5 fishermen chartered a boat for a day to fish for flounder. The boat costs x dollars per day to rent. If the group can find 4 more fishermen on the docks who are willing to come aboard and share the rental costs, how much less will the rental cost be per person in terms of x?
[ "A)x/70", "B)x/35", "C)3x/70", "D)3x/10", "E)4x/45" ]
E)4x/45
aqua_rat
29f38d25-19c8-418e-b036-5c3c6feadabd
A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
[ "A)82%", "B)52%", "C)12%", "D)19%", "E)22%" ]
C)12%
aqua_rat
23f2b3f0-8cd8-4614-8c96-88d2d2f84bc1
A river 8m deep and 25 m wide is flowing at the rate of 8 kmph the amount of water that runs into the sea per minute is?
[ "A)26666", "B)26166", "C)29666", "D)22666", "E)26699" ]
A)26666
aqua_rat
0da08813-c563-49d2-8e91-c0eaa6a9ab27
In January of 2016, there were 100 cats and 125 dogs in a town. In January of 2017, there were 115 cats and 150 dogs. By approximately what percent did the ratio of cats to dog decrease from the 2016 to 2017.
[ "A)12.9%", "B)11.0%", "C)15%", "D)18%", "E)5%" ]
A)12.9%
aqua_rat
179f4a4d-3cc6-4d69-a47a-585fc8af50de
In a party every person shakes hands with every other person. If there were a total of 171 handshakes in the party then what is the number of persons present in the party ?
[ "A)15", "B)16", "C)17", "D)18", "E)19" ]
E)19
aqua_rat
8bfb5494-8dee-4908-91bd-7a6f0f67c569
A goods train runs at the speed of 72 kmph and crosses a 230 m long platform in 26 seconds. What is the length of the goods train?
[ "A)230 m", "B)270m", "C)643m", "D)832m", "E)290m" ]
E)290m
aqua_rat
3e8e90f0-4433-433d-9205-9509275033a3
In a rectangular coordinate system, what is the area of a quadrilateral whose vertices have the coordinates (4,-3), (4, 7), (12, 2), (12,-7)?
[ "A)64", "B)68", "C)72", "D)76", "E)80" ]
D)76
aqua_rat
0db57f59-443c-48a0-8e94-1ec7fccf6439
Find the H.C.M of the fractions 1/3, 3/5 and 7/12
[ "A)1/30", "B)1/60", "C)1/15", "D)1/20", "E)1/34" ]
B)1/60
aqua_rat
1576c012-7fef-4530-bd5e-1e33f6ab561f
A school has 4 section of Chemistry in Class X having 70, 35, 45 and 42 students. The mean marks obtained in Chemistry test are 50, 60, 55 and 45 respectively for the 4 sections. Determine the overall average of marks per student.
[ "A)50.9", "B)52.9", "C)51.9", "D)53.25", "E)None of the above" ]
C)51.9
aqua_rat
d2d8935a-1c40-4b50-a9dd-54b5ffa3f3a0
A, B and C can do a work in 90, 30 and 45 days respectively. If they work together, in how many days will they complete the work?
[ "A)15", "B)66", "C)77", "D)88", "E)11" ]
A)15
aqua_rat
d4541070-b9f7-42ac-8799-cbabb39c2464
If shares of two persons in profits are Rs.800 and Rs.600 then ratio of their capitals is
[ "A)3:4", "B)2:3", "C)4:3", "D)1:3", "E)1:5" ]
C)4:3
aqua_rat
90039b5e-654f-4093-9c70-0c9439ced1aa
The ratio, by volume, of soap to alcohol to water in a certain solution is 20:50:80. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it...
[ "A)520", "B)640", "C)700", "D)750", "E)800" ]
B)640
aqua_rat
1149a7d6-a2e6-4c09-8577-c8dfc29cc9d4
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
[ "A)1/5", "B)3/5", "C)1/8", "D)5/8", "E)3" ]
A)1/5
aqua_rat
f672e41b-eb73-402e-ae5d-73a9a981fa2d
All of the citizens of a country have a eight-character or nine-character national identification code that is created using the 26 letters of the alphabet and the 10 digits from 0 to 9. What is the maximum number of citizens who can be designated with these codes?
[ "A)36^17", "B)35(36^9)", "C)37(36^9)", "D)35(36^8)", "E)37(36^8)" ]
E)37(36^8)
aqua_rat
271e5a9d-e571-438b-a0c9-a1a39cd4fe27
A and B started a partnership business investing some amount in the ratio of 3:5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
[ "A)5 : 6 : 10", "B)6 : 10 : 5", "C)6 : 5 : 10", "D)10 : 6 : 5", "E)none" ]
B)6 : 10 : 5
aqua_rat
ba6b1db4-c16c-43e2-bf5f-2915147495b4
Find the compound ratio of (2:3), (6:11) and (11:5) is
[ "A)3:2", "B)2:1", "C)1:2", "D)4:5", "E)2:3" ]
D)4:5
aqua_rat
00451ab7-c15a-44c4-ac52-b6671400d1c6
1=1,2=2,3=9,4=16,5=25, then 9=?
[ "A)1", "B)255", "C)3", "D)445", "E)235" ]
C)3
aqua_rat
13c98ea2-1694-4895-bfca-802551694375
A miniature gumball machine contains 4 blue, 3 green, and 3 red gumballs, which are identical except for their colors. If the machine dispenses three gumballs at random, what is the probability that it dispenses one gumball of each color?
[ "A)2/5", "B)3/5", "C)3/10", "D)7/30", "E)11/30" ]
C)3/10
aqua_rat
1025894e-75b3-46b4-98d4-b25abd0a5889
A can do a work in 15 days and B in 20 days. If they work on it together for 8 days, then the fraction of the work that is left is
[ "A)8/17", "B)7/15", "C)3/15", "D)8/15", "E)1/15" ]
E)1/15
aqua_rat
136b59da-2ca5-4aa6-931c-609fc46f3818
The ratio of the arithmetic mean of two numbers to one of the numbers is 3:5. What is the ratio of the smaller number to the larger?
[ "A)1:5", "B)1:4", "C)1:3", "D)1:2", "E)2:3" ]
A)1:5
aqua_rat
d865de86-b968-4076-b8a1-5d0c639414a6
Find the cost of fencing around a circular field of diameter 34 m at the rate of Rs.2 a meter?
[ "A)215", "B)212", "C)278", "D)279", "E)222" ]
B)212
aqua_rat
51d0057d-3765-4515-bfd1-c6e53c6d3afd
Entry fee in a zoo is $10. Later this was reduced by 50% which increased the sale by 40%. The percentage increase in the number of visitors is?
[ "A)100%", "B)50%", "C)180%", "D)200%", "E)150%" ]
C)180%
aqua_rat
26b7cfb5-d7c9-4289-8e3c-061fa557b21c
If 20% of A is the same as 25% of B, then A : B is :
[ "A)3:4", "B)4:3", "C)5:4", "D)6:7", "E)5:7" ]
C)5:4
aqua_rat
06362860-406e-4cad-bbdb-8f472fe9034a
There are three secretaries who work for four departments. If each of the four departments have one report to be typed out, and the reports are randomly assigned to a secretary, what is the probability R that all three secretary are assigned at least one report?
[ "A)8/9", "B)64/81", "C)4/9", "D)16/81", "E)5/9" ]
C)4/9
aqua_rat
50637a4d-2fc3-4f1f-9fb4-f205f9ba2008
In the "Big-Reds" parking lot there are 56 vehicles, 18 of them are buses and the rest are private cars. The color of 32 vehicles is red, from which 17 are buses. How many private cars can be found in the parking lot, which are not colored red?
[ "A)1.", "B)15", "C)17", "D)20", "E)23" ]
E)23
aqua_rat
3c6faffb-fcbb-466f-a3e0-7d34706cca29
In a certain sequence of numbers, a1, a2, a3, ..., an, the average (arithmetic mean) of the first m consecutive terms starting with a1 is m, for any positive integer m. If a1=1, what is a12?
[ "A)100", "B)55", "C)23", "D)19", "E)1" ]
C)23
aqua_rat
d17bdeca-4139-4440-a01a-cf030e3c056f
The number of female students in a college in the previous year was 350. If in the current year the number of male students in the college doubled over that of the previous year but the proportion of male students halved, then what is the number of female students in the college in the current year?
[ "A)1000", "B)1200", "C)1400", "D)1600", "E)1800" ]
C)1400
aqua_rat
e9572819-fe73-49bf-a789-2ab8f01a7460
The average weight of a group of boys is 30 kg. After a boy of weight 40 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
[ "A)14", "B)5", "C)6", "D)7", "E)9" ]
E)9
aqua_rat
7537f545-8e19-4901-9e07-bc7a7d9a7107
Tough and Tricky questions: Word Problems. It takes Sarah 12 minutes to do one oil change, and it takes Alice 8 minutes. If Sarah and Alice both begin doing oil changes at exactly 9:00 a.m. without pausing, when is the first time at which they will finish changing the oil of a car simultaneously?
[ "A)09:24 a.m.", "B)10:42 a.m.", "C)12:00 a.m.", "D)1:00 p.m.", "E)2:00 p.m." ]
A)09:24 a.m.
aqua_rat
c493effe-c59a-4286-8be6-837ccb7d08fb
The toll for crossing a certain bridge is $0.75 each crossing. Drivers who frequently use the bridge may instead purchase a sticker each month for $13.00 and then pay only $0.10 each crossing during that month. If a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge...
[ "A)12", "B)15", "C)16", "D)28", "E)29" ]
A)12
aqua_rat
f928ac86-28d3-4255-8b15-a1c6553f4fc6
if sum of two no. is 12 and subtraction to that is 4.so how much min. should added to smaller no. to make it even?
[ "A)1", "B)2", "C)0.5", "D)1.5", "E)0" ]
E)0
aqua_rat
eb0de7e6-04f7-4ce2-beee-5f0a74424b67
Find the value for x from below equation: x/3=-2?
[ "A)-6", "B)1", "C)-2", "D)-3", "E)4" ]
A)-6
aqua_rat
55c0b9c6-1cfc-4d99-ac43-f0e13fcb74b6
40% of a number is more than 20% of 650 by 190. Find the number?
[ "A)299", "B)277", "C)800", "D)289", "E)271" ]
C)800
aqua_rat
a314f100-9163-401c-8336-f6247d5a9d16
The units digit of (35)^(87) + (93)^(49) is:
[ "A)2", "B)4", "C)6", "D)8", "E)0" ]
D)8
aqua_rat
c47e943e-28e4-4734-a232-5a595ffcdfbb
There are 9 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
[ "A)90", "B)120", "C)540", "D)180", "E)200" ]
C)540
aqua_rat
0bfb71e9-4f60-4861-9801-aaa035af66c7
A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate.
[ "A)276.25", "B)256.25", "C)256.29", "D)236.25", "E)256.22" ]
B)256.25
aqua_rat
fc059645-1939-4a73-b140-fc62b7c6ff02
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 7 boys when No boy gets more than one prize?
[ "A)112", "B)114", "C)117", "D)210", "E)217" ]
D)210
aqua_rat
50d68948-9328-41d3-81ad-13749ab60880
There are three guys who have equal number of bullets. All of them shoot 6 bullets. The remaining bullets are equal to the total number of bullets remaining is equal to the bullets each had after division. What was the original number of bullets each one had?
[ "A)18", "B)19", "C)20", "D)21", "E)27" ]
E)27
aqua_rat
4b18d21a-e312-4f88-bdf0-88e8bd2fe71f
An estate pay would be divided among five sons with the remainder donated to charity. One stipulation in the estate is that no one among the sons can receive an amount within 15% of another's amount. If one of the sons received $10,000, what is the smallest possible range between the highest and lowest amounts (rounded...
[ "A)$4096", "B)$4804", "C)$7892", "D)$6736", "E)$5736" ]
B)$4804
aqua_rat
aac4ca8a-b238-4458-9244-ce73f92fdd0b
Ms. Feldman invested $10,000 for 1 year, part at 7% and part at 6.25%. If she earned a total interest of $656.50, how much was invested at each rate?
[ "A)4200 & 5800", "B)4600 & 5400", "C)9000 & 1000", "D)7000 & 3000", "E)6000 & 4000" ]
A)4200 & 5800
aqua_rat
b2bc9fc6-fc7a-445d-a3be-9f2474a702d6
A boat can travel with a speed of 24 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 196 km downstream
[ "A)3 hours", "B)4 hours", "C)5 hours", "D)6 hours", "E)7 hours" ]
E)7 hours
aqua_rat
044bde42-1568-41c1-bda2-a0a887bb6a13
If x > y^4 > z^7, which of the following statements could be true? I.x>y>z II.z=x III.x<z
[ "A)I,III only", "B)I only", "C)II only", "D)III only", "E)I,II only" ]
B)I only
aqua_rat
218e216a-9c59-4cb4-8a36-dfaf85e78925
A focus group is currently made up of x red balls and y green balls. If 5 red balls and 4 green balls are added to the group, and if one ball is selected at random from the larger focus group, then what is the probability that a red ball is selected?
[ "A)x/(x + 4)", "B)y/(x + 5)", "C)(x + 5)/(x + y + 9)", "D)(y + 4)/(x + y + 9)", "E)(x + 4)/(x + y + 9)" ]
C)(x + 5)/(x + y + 9)
aqua_rat
354ffefb-166b-458e-8847-80e59bd92d5a
A train 275 m long is running with a speed of 60 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?
[ "A)8", "B)6", "C)5", "D)15", "E)1" ]
D)15
aqua_rat
ac1f0d07-7cb0-4044-8e70-36b287344e6b
Two pipes A and B can fill a cistern in 37.5 minutes and 45 minutes respectively. This cistern will be filled in half an hour if both the pipes are opened together initially and pipe B is then turned off after X minutes. What is X?
[ "A)10 minutes", "B)15 minutes", "C)12 minutes", "D)9 minutes", "E)8 minutes" ]
D)9 minutes
aqua_rat
f87aba66-4dc0-4779-9cf3-91095661985e
Mira is making telescopes, each consisting of 2 lenses, 1 tube, and 1 eyepiece. Lenses can be purchased only in packs of 50, tubes only in packs of 10, and eyepieces only in packs of 30. However, half of the lenses in each pack are not usable for telescopes. If all parts are used only for the telescopes, what is the mi...
[ "A)75", "B)150", "C)300", "D)1200", "E)7,500" ]
D)1200
aqua_rat
b6988ecd-eac4-423b-88b4-1dc37362b4f1
Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
[ "A)26 km/hr", "B)17 km/hr", "C)60 km/hr", "D)77 km/hr", "E)46 km/hr" ]
C)60 km/hr
aqua_rat
6f7c5f86-6e2a-4729-98f9-a98345bcb49f
J is 25% less than P and 20% less than T. T is x% less than P. What is the value of x?
[ "A)93.5", "B)90", "C)6.75", "D)6.25", "E)2" ]
D)6.25
aqua_rat
6e42c2d1-fdec-4ed3-b584-896b57181d35
The monthly rent of a shop of dimension 10feet × 8feet is Rs.2400. What is the annual rent per square foot of the shop?
[ "A)43", "B)56", "C)68", "D)360", "E)92" ]
D)360
aqua_rat
81ca63df-7cc2-4d35-9a81-77469b775ef8
Tomy's age 18 years hence will be thrice his age four years ago. Find Tomy's present age?
[ "A)12 years", "B)13 years", "C)15 years", "D)17 years", "E)18 years" ]
C)15 years
aqua_rat
6ec81e74-40de-41c5-a37b-961bc6c68e4b
Sum of 42 odd numbers is?
[ "A)1764", "B)1774", "C)1784", "D)1794", "E)1754" ]
A)1764
aqua_rat
aee2d33a-3d7b-4aee-b1fd-b861d5565964
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.196 where as B does not. In what ratio should they divide the second year's profit?
[ "A)39:40", "B)39:49", "C)24:25", "D)39:47", "E)39:41" ]
C)24:25
aqua_rat
19cfb15c-5bda-455e-9a90-7ba60912a0fe
A certain no. when divided by 35leaves a remainder 25, what is the remainder if the same no.be divided by 15?
[ "A)2", "B)4", "C)7", "D)8", "E)9" ]
B)4
aqua_rat
a4e9e34b-7b87-43f2-b091-bb84d14fd97d
The probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.25. If the probability that either event A or event B occurs is 0.6, what is the probability that event B will occur?
[ "A)0.05", "B)0.15", "C)0.45", "D)0.5", "E)0.55" ]
C)0.45
aqua_rat
982449d0-8cdc-417d-8c0e-fab9b2ae6db0
A right triangle ARC has to be constructed in the xy-plane so that the right angle is at A and AR is parallel to x axis. The coordinates of A, R and C are integers and satisfy the inequalities -1 ≤ x ≤ 7 and 1 ≤ y ≤ 7. How many different triangles can be constructed with these properties?
[ "A)63", "B)336", "C)567", "D)3024", "E)5040" ]
D)3024
aqua_rat
fa9440fa-81cf-44b1-b46d-d510cbbbe4de
In how many different number of ways a Committee of 3 person of can be selected from 5 men and 3 women such that atleast 1 women is included in the committee
[ "A)36", "B)46", "C)50", "D)52", "E)56" ]
B)46
aqua_rat
3d7cd9a3-cde3-4f63-94f0-cf3222a8ebf0
An error 2% in excess is made while measuring the side ofa square. The % of error in the calculated area of the square is?
[ "A)4%", "B)4.04%", "C)4.23%", "D)4.56%", "E)5%" ]
B)4.04%
aqua_rat
704af757-5458-4c9d-be03-84c7635913f5
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
[ "A)240", "B)377", "C)2908", "D)287", "E)201" ]
A)240
aqua_rat
0536a118-58fa-4ee9-8e64-6d75b3993faa
he speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
[ "A)25 kmph", "B)15 kmph", "C)17 kmph", "D)95 kmph", "E)14 kmph" ]
B)15 kmph
aqua_rat
501e761c-4514-4e9c-9a8e-a9115f08de2b
In 2010, Arman’s birthday was on a Thursday. What day of the week was it 66 days after his birthday?
[ "A)Thursday", "B)Friday", "C)Saturday", "D)Sunday", "E)Monday" ]
D)Sunday
aqua_rat
0fcb98c9-4ca5-4d88-b826-cd366acbd87a
What is the 9th term in this sequence? 1,3,4,11,19,30,53,87
[ "A)120", "B)129", "C)140", "D)180", "E)169" ]
C)140
aqua_rat
ad384e7b-c921-4c98-b657-54c5a66d0540
Find the fraction which has the same ratio to 1/2 that 2/5 has to 3/7
[ "A)1/2", "B)2/12", "C)14/30", "D)3/8", "E)7/9" ]
C)14/30
aqua_rat
454e1369-d9bd-4b51-ab5d-0592ef734bd9
The ratio of the ages of Maala and Kala is 3 : 5. The total of their ages is 3.2 decades. The proportion of their ages after 0.8 decades will be [1 Decade = 10 years]
[ "A)6:5", "B)5:7", "C)4:5", "D)7:9", "E)3:6" ]
B)5:7
aqua_rat
bc0792e9-4e6f-4d57-9fdd-ebd116fd6700
The smallest 3 digit prime number is
[ "A)A)103", "B)B)101", "C)C)109", "D)D)113", "E)E)None" ]
B)B)101
aqua_rat
8cb3357e-9158-4385-b938-54cc859a46a4
John can complete a given task in 20 days. Jane will take only 12 days to complete the same task. John and Jane set out to complete the task by beginning to work together. However, Jane was indisposed 5 days before the work got over. In how many days did the work get over from the time John and Jane started to work on ...
[ "A)95/8", "B)93/8", "C)90/8", "D)12", "E)10" ]
A)95/8
aqua_rat
796132fc-dcf5-452e-af19-ae7855446c47
What is the next number of the following sequence 4, 16, 12, 48, 44, 176 (...)
[ "A)142", "B)146", "C)154", "D)168", "E)172" ]
E)172
aqua_rat
6a8fb963-8864-412f-bdd8-7d81663ea97d
A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 20%, he is only able to save Rs. 200 per month. What is his monthly salary?
[ "A)Rs.5000", "B)Rs.25000", "C)Rs.7500", "D)Rs.8500", "E)Rs.9500" ]
A)Rs.5000
aqua_rat
f9b0e45a-1d9e-4c88-8c53-5e9ea02154c3
There is a 20% chance that Lions will not win at all during the whole season. There is a 30% chance that Tigers will not play at all in the whole season. What is the greatest possible probability that the Lions will win and Tigers will play during the season?
[ "A) 55%", "B) 60%", "C) 70%", "D) 72%", "E) 80%" ]
C) 70%
aqua_rat
217bb979-d6e4-450a-861f-662a8fbd93ef
If A and B are two events such that P (A) = 1/2, P (B) = 3/4 and P (A n B) = 3/8, find P (not A and not B).
[ "A)A)1/7", "B)B)1/8", "C)C)1/9", "D)D)1/10", "E)E)2/11" ]
B)B)1/8
aqua_rat
192e43d0-0890-47d4-9ff1-c4a420e6f8f9
If b= (a-1)(a+2), then what is the least possible value of b?
[ "A)-9/4", "B)3", "C)2", "D)1", "E)0" ]
A)-9/4
aqua_rat
bc026393-b6ce-4d5b-b408-3a4305b6fe06
The batting average of a particular batsman is 60 runs in 46 innings. If the difference in his highest and lowest score is 140 runs and his average excluding these two innings is 58 runs, find his highest score.
[ "A)179", "B)367", "C)269", "D)177", "E)174" ]
E)174
aqua_rat
60140a7d-e8fc-451c-9ee6-7d27a6776305
There are 8 books in a shelf that consist of 2 paperback books and 6 hardback books. If 3 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
[ "A)36", "B)45", "C)50", "D)55", "E)60" ]
A)36
aqua_rat
df697521-e91e-44d4-ae83-6af45bc60ca5
If a and y are integers and (15^a + 15^(a+1))/4^y = 15^y what is the value of a?
[ "A)2", "B)3", "C)4", "D)5", "E)Cannot be determined" ]
A)2
aqua_rat
7e875d7f-330f-40f4-8760-a7072dafaf79
6 points are marked on a straight line and another 7 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
[ "A)9", "B)105", "C)196", "D)21", "E)14" ]
A)9
aqua_rat
e5530e6a-5b85-4f57-94d4-44b6cbb249cd
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
[ "A)200m", "B)225m", "C)245m", "D)250m", "E)260m" ]
C)245m
aqua_rat
13f3d906-6e99-4547-90c1-7bcd1110175b
Express 25 mps in kmph?
[ "A)23", "B)88", "C)90", "D)27", "E)21" ]
C)90
aqua_rat
1bd3fc57-d493-4c0e-bafc-afbb1e54f445
Jim rides the bus to and from school each day. A one-way trip is 8.12 kilometers. How many kilometers does he travel in 3 days?
[ "A)77km", "B)56km", "C)25.9km", "D)48.72km", "E)50km" ]
D)48.72km
aqua_rat
b7c0d0b2-3159-48e2-a473-7c5188b5475d
If the number of 53,n87, where n represents the hundreds digit, is a multiple of 3, then the value of n could be which of the following?
[ "A)0", "B)1", "C)2", "D)3", "E)4" ]
B)1
aqua_rat
6dd7ad28-36fb-4089-a21b-9992fd5dd68d
A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is
[ "A)7/19", "B)6/19", "C)5/19", "D)4/19", "E)None of these" ]
A)7/19
aqua_rat
67f3d62b-d13b-44ff-9fff-6f55a9c99eb4
The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is?
[ "A)Rs. 3000", "B)Rs. 4000", "C)Rs. 5000", "D)Rs. 6000", "E)Rs. 7000" ]
B)Rs. 4000
aqua_rat
50f2a7f2-e0fb-404b-af68-bf432d8c6843
The mean of 50 observations is 200. But later he found that there is decrements of 34 from each observations. what is the the updated mean is ?
[ "A)165", "B)166", "C)190", "D)198", "E)199" ]
B)166
aqua_rat
08042f68-8a88-47c2-8c8e-cdfdc5ee097a
X and Y run a 50 m race,where X beats Y by 5 m. To do a favor to Y, X starts 5 m behind the starting line in a second 50 m race. Both run at the same previous speed. Which of the following is true?
[ "A)X Beats Y by 2m", "B)X Beats Y by 0.5 m", "C)Y Beats X by 10m", "D)Y Beats X by 11m", "E)Y Beats X by 11m" ]
B)X Beats Y by 0.5 m
aqua_rat