id
string
question
string
choices
list
answer_key
string
source
string
895b0e33-0990-401f-828b-525552f1f76c
A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but six, all pigeons but six, and all ducks but six. How many birds he had in the bag in all?
[ "A)9", "B)18", "C)27", "D)36", "E)34" ]
A)9
aqua_rat
b53905f4-ce2a-4c55-a8ba-970950700e63
Find the number which multiplied by 15 is increased by 196.
[ "A)14", "B)20", "C)26", "D)28", "E)27" ]
A)14
aqua_rat
ce9ce919-a9c5-4eb3-8b30-427b7f1a9b3d
When Tom works alone he chops 2 lb. salad in 3 minutes, and when Tammy works alone she chops 3 lb. salad in 2 minutes. They start working together, and after some time finish chopping 65 lb. of salad. Of those 80 lb., the salad quantity chopped by Tom is what percent lesser than the quantifying chopped by Tammy?.
[ "A)44%", "B)100%", "C)105%", "D)225%", "E)125%" ]
E)125%
aqua_rat
242ef60d-7d18-4da2-8d66-2eec9102e9ba
If a randomly selected non-negative single digit integer is added to {2, 3, 4, 8}. What is the probability that the median of the set will increase but the range still remains the same?
[ "A)0.2", "B)0.3", "C)0.4", "D)0.5", "E)0.6" ]
D)0.5
aqua_rat
aa6a073d-ae2d-4a56-98cc-84d78e233d1f
In a survey conducted to find out the readership of three Newspapers A,B and C, it was found that the number of newspaper A is at least 20 and at most 40. The number of people who read newspaper B is at least 50 and at most 70. The number of people who read newspaper C is at least 70 and at most 83. It was also found that 5 people read all three newspapers. Find the minimum number of people who read both A and B but not C.
[ "A)A)1", "B)B)2", "C)C)3", "D)D)0", "E)E)5" ]
D)D)0
aqua_rat
4c7d1b5e-30e6-476f-ad6d-16c05b1d32cd
6% of customers that enter a store on any given day must not pay tax. If 1000 people shop every day, how many people pay taxes in the store every week
[ "A)6500", "B)6580", "C)7200", "D)7120", "E)6800" ]
B)6580
aqua_rat
9100b6b1-4eff-4248-b0e3-8a813899d533
A taxi owner buys diesel at Rs.8.50, Rs. 9 and Rs. 9.50 per litre for three successive years. What approximately is the average cost per litre of diesel if he spends Rs. 5000 each year?
[ "A)7.98", "B)8.98", "C)9.98", "D)6.98", "E)8.12" ]
B)8.98
aqua_rat
3461c2a6-6091-441e-b715-7dc487e033a2
With the wind, an airplane travels 1120 miles in seven hours. Against the wind, it takes eight hours. Find the rate of the plane in still air and the velocity of the wind.
[ "A)10 kmph", "B)11 kmph", "C)12 kmph", "D)13 kmph", "E)14 kmph" ]
A)10 kmph
aqua_rat
61bec7e8-4329-49a2-b1c4-493b6da8d0e1
x = 13.165 y = 7.496 z = 11.557 The number A is obtained by first rounding the values of x, y, and z to the hundredths place and then adding the resulting values. The number B is obtained by first adding the values of x, y, and z and then rounding the sum to the hundredths place. What is the value of A – B?
[ "A)0.01", "B)0.02", "C)0.03", "D)0.1", "E)0.2" ]
B)0.02
aqua_rat
85034210-f19d-44b1-a94c-96635748c847
If a 3-number code is formed of the integers from 1 to 14 inclusively, and each of the numbers in the code is different, how many possible codes are there?
[ "A)1744", "B)1854", "C)1964", "D)2074", "E)2184" ]
E)2184
aqua_rat
cc855cc1-263e-4481-96c0-69c2708f816c
If a car travels a distance of 300 km in 8 hours, partly at a speed of 40 kmh-1 and partly at 30 kmh-1, what is the distance it travelled at the speed of 40 kmh-1?
[ "A)200 km", "B)210 km", "C)220 km", "D)240 km", "E)250 km" ]
D)240 km
aqua_rat
7bee6947-89aa-4f92-bf38-454bdc1800ad
If the length of the longest chord of a certain circle is 18, what is the radius of that certain circle?
[ "A)2.5", "B)9", "C)10", "D)15", "E)20" ]
B)9
aqua_rat
099ae6c5-e639-425d-95a5-94ad8ca17823
Nick took a bus from home to market, that travels at 80 kmph. While walking back at 8 kmph, halfway through, he suddenly realized he was getting late and he cycled back the remaining distance in 60 kmph. Find the average speed.
[ "A)49.5 kmph", "B)49.0 kmph", "C)48.5 kmph", "D)48.0 kmph", "E)none of these" ]
D)48.0 kmph
aqua_rat
0ea26bfc-cfc1-4cdb-b916-cb9aa9dc3850
At the faculty of Aerospace Engineering, 310 students study Random-processing methods, 232 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering?
[ "A)430", "B)432", "C)440", "D)442", "E)446" ]
A)430
aqua_rat
68ebcc61-137d-43ea-a496-c47825550658
In a particular course, only two grades are given all semester: the midterm exam, which counts for 25% of the semester grade, and the final exam, which counts for the remainder. Lindsey's semester grade was 88%. If the highest possible score on either exam is 100%, what is the lowest possible A score that Lindsey could have received on her midterm exam?
[ "A)52%", "B)64%", "C)72%", "D)76%", "E)80%" ]
A)52%
aqua_rat
e8ed820b-f6ea-4970-8d63-7a375e7362f6
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
[ "A)176 m", "B)189 m", "C)245 m", "D)189 m", "E)197 m" ]
C)245 m
aqua_rat
700b74e2-cc2f-4d73-96ed-cb3aab43567d
The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 40%, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged?
[ "A)100% decrease", "B)50% decrease", "C)40% decrease", "D)40% increase", "E)50% increase" ]
B)50% decrease
aqua_rat
4f7ab84e-dc96-4b6c-a645-bf7878008436
Jill works as a waitress at the local diner where she earns an hourly wage of $8.00 per hour and a standard tip rate of 30% of the cost of the orders she serves. If she worked four 12-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week?
[ "A)1120", "B)300", "C)320", "D)350", "E)400" ]
A)1120
aqua_rat
f46ad6b7-7574-4549-91a8-ae309d491b8e
Which number is a factor of 20?
[ "A)3", "B)4", "C)7", "D)18", "E)9" ]
B)4
aqua_rat
e1f66514-9ebd-4824-9cfe-7dda589a3ba2
A and B play a series of 5 games in badminton. A's chance of winning s single game against B is 2/3. Find the chance that A wins exactly 3 games.
[ "A)64/81", "B)35/128", "C)80/243", "D)None of these", "E)cannot be determined" ]
C)80/243
aqua_rat
bf115516-f367-42df-8a7f-909e62f43845
852.68 − 4.5 + 108.94 = ? − 2132.54
[ "A)6078.58", "B)5225.9", "C)6078.54", "D)6088.58", "E)None" ]
C)6078.54
aqua_rat
c1619718-182f-4f9c-8836-74e597e88d52
A bag contains 6 red balls, 5 green balls and 6 white balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?
[ "A)2/5", "B)3/5", "C)11/17", "D)7/15", "E)8/15" ]
C)11/17
aqua_rat
930b6ea5-94bb-4200-a930-9a650bc65d34
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
[ "A)99 sec", "B)89 sec", "C)54 sec", "D)27 sec", "E)22 sec" ]
B)89 sec
aqua_rat
33bdbdcc-ea5c-483d-9b3d-4ea54cc4e138
What will be the cost of building a fence around a square plot with area equal to 49 sq ft, if the price per foot of building the fence is Rs. 58?
[ "A)3944", "B)1624", "C)2999", "D)2667", "E)2121" ]
B)1624
aqua_rat
6144d228-c198-459d-83e6-beb765fc02cd
A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 8 minutes?
[ "A)36", "B)54", "C)108", "D)216", "E)432" ]
E)432
aqua_rat
539d29d0-22e7-4c46-922c-a614bf096aeb
Two numbers are in the ratio of 5:8. If 30 be subtracted from each, they are in the ratio of 5:9. Find the numbers?
[ "A)122,195", "B)121,199", "C)120,192", "D)102,192", "E)126,109" ]
C)120,192
aqua_rat
e6ba4f00-afa4-4984-8472-356fcd746b85
A cistern of 475 litres is completely filled using pipes A and B, with Pipe A being open for 5 more hours than pipe B. If we are to interchange the operating hours of the two pipes than pipe A would have pumped half the water as much as pipe B, then find the time for which pipe B was open. Also, given that if the two pipes were open simultaneously the tank would fill in 19 hours.
[ "A)10 h", "B)14 h", "C)16 h", "D)20 h", "E)24 h" ]
C)16 h
aqua_rat
c57fe12c-2c13-4fd2-85c7-6ef8b9e0c003
Ram professes to sell his goods at the cost price but he made use of 800 grms instead of a kg, what is the gain percent?
[ "A)11 1/7%", "B)11 7/7%", "C)11 1/9%", "D)71 1/9%", "E)25%" ]
E)25%
aqua_rat
238e2162-7dc1-4dda-8a4a-4cedbe5fce56
How many three letter words are formed using the letters of the word TIME?
[ "A)66", "B)57", "C)88", "D)24", "E)21" ]
D)24
aqua_rat
d77d1647-5908-4780-bb6b-9dba804e89f0
A tradesman by means of his false balance defrauds to the extent of 15%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
[ "A)44%", "B)48%", "C)32%", "D)45%", "E)34%" ]
C)32%
aqua_rat
65f970b6-2af9-467d-9bd8-94f376637f8f
Rachel and Sarah started out to visit Grandma. They drove for 50 miles and stopped to rest before driving for 30 more miles. They decided to go back 10 miles to a restaurant they had seen. After leaving the restaurant, they drove 80 more miles to Grandma’s house. How many miles did the girls drive on the way to Grandma’s house?
[ "A)150 miles", "B)160 miles", "C)170 miles", "D)180 miles", "E)200 miles" ]
C)170 miles
aqua_rat
434d0308-9f49-4bf9-899b-88d87e4972be
20 beavers, working together in a constant pace, can build a dam in 3 hours. How many hours C will it take 12 beavers that work at the same pace, to build the same dam?
[ "A)2.", "B)4.", "C)C=5.", "D)C=6.", "E)8." ]
C)C=5.
aqua_rat
ebeb1b8a-6d7c-4e9e-9145-30feaa381ed3
The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue R, in dollars, from the sale of cars priced at $ 15,000?
[ "A)50,000", "B)750,000", "C)850,000", "D)7,500,000", "E)R=750,000,000" ]
E)R=750,000,000
aqua_rat
a41d6d8f-8290-4429-b0c3-81dd06f9b164
In an examination, 300 students appeared. Out of these students; 26 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed.
[ "A)33", "B)37", "C)54", "D)60", "E)01" ]
D)60
aqua_rat
949a1d40-f47c-4ec1-8e83-6bfc1a919d85
If |x| = 4x - 1, then x = ?
[ "A)3", "B)1/2", "C)1 and 1/2", "D)-1/2", "E)-1" ]
A)3
aqua_rat
dc926391-c813-42fb-86be-c00f3ebf771f
In a simultaneous throw of a pair of dice, find the probability of getting a total more than 8
[ "A)1/2", "B)7/12", "C)3/7", "D)5/12", "E)6/17" ]
C)3/7
aqua_rat
7963224e-bd6e-4ca1-930b-9b0c9770f314
Population of a city in 20004 was 1000000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city atthe end of the year 2007
[ "A)1034355", "B)1035677", "C)1045778", "D)1067675", "E)1083875" ]
E)1083875
aqua_rat
b2925ee4-f940-410c-8ab7-e1391dfd5737
A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 3 days. In how many days can they complete the remaining work?
[ "A)6 days", "B)2 days", "C)8 days", "D)4 1/5 days", "E)9 days" ]
D)4 1/5 days
aqua_rat
8c275d58-49a0-4cc3-aba9-baf6994baccd
A block of wood has dimensions 10cm x 10cm x 80cm. The block is painted red and then cut evenly at the 40 cm mark, parallel to the sides, to form two rectangular solids of equal volume. What percentage of the surface area of each of the new solids is not painted red?
[ "A)5.6%", "B)8.4%", "C)11.2%", "D)14.8%", "E)17.5%" ]
A)5.6%
aqua_rat
8f61ef9f-6cd9-4d99-b6f2-988988e22e45
Which of the following equations represents a line that is perpendicular to y=1/4*x+2?
[ "A)y−2x=8", "B)2x+4y=10", "C)3y+6x=12", "D)4y−8x=16", "E)5x−10y=20" ]
D)4y−8x=16
aqua_rat
9c93c03b-6f03-4aa2-9edc-ddd1b9318339
If a man can cover 15 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
[ "A)196km", "B)190km", "C)200km", "D)202.5km", "E)210km" ]
D)202.5km
aqua_rat
e8580fc4-443e-41c7-8131-5ebc3d274731
Car A travels at three times the average speed of car B. Car A started to travel at 12:00 o'clock, car B started to travel at 16:00 o'clock. What is the speed of car B (in Km/h) if the total distance that both cars traveled until 18:00 was 6000 Km?
[ "A)10.", "B)25.", "C)300.", "D)38.", "E)50." ]
C)300.
aqua_rat
04a9f5e8-b742-4314-a8b2-32229a319a4d
If a * b = 2a - 3b + ab, then 3 * 5 + 5 * 3 is equal to :
[ "A)22", "B)37", "C)38", "D)398", "E)72" ]
A)22
aqua_rat
baa67ddb-6353-456d-8e43-c6594299a1f6
A water tank is one-fourth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 8 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
[ "A)4 min. to empty", "B)6 min. to full", "C)10 min. to empty", "D)9 min. to full", "E)8 min. to full" ]
C)10 min. to empty
aqua_rat
9456705e-0dbd-41e8-9831-3aa382048477
The expression x#y denotes the product of the consecutive multiples of 3 between x and y, inclusive. What is the sum of the exponents in the prime factorization of 21#30?
[ "A)10", "B)11", "C)12", "D)13", "E)14" ]
C)12
aqua_rat
0ffd9003-e987-4636-a2d8-8ecb04d92780
The average of five consecutive odd numbers is 51. What is the difference between the highest and lowest number?
[ "A).8", "B)9", "C)6", "D)5", "E)2" ]
A).8
aqua_rat
a05a8a8b-42b9-403f-b74b-2a99524e5b02
A, B, and C were to be paid in proportion to the part of work they did while working on the same piece of work. A and B individually can finish the piece of work in 12 days and 15 days respectively. They worked together for five days and then C completed the remaining work all alone. If $810 was the net sum to be paid for the entire work, what was the average daily wage of B?
[ "A)$144", "B)$90", "C)$60", "D)$54", "E)$48" ]
D)$54
aqua_rat
d78f3794-b696-4e37-b1db-247a357b256b
Company A's workforce consists of 10 percent managers and 90 percent software engineers. Company B's workforce consists of 30 percent managers, 10 percent software engineers, and 60 percent support staff. The two companies merge, every employee stays with the resulting company, and no new employees are added. If the resulting companyís workforce consists of 25 percent managers, what percent of the workforce originated from Company A?
[ "A)10%", "B)20%", "C)25%", "D)50%", "E)75%" ]
C)25%
aqua_rat
d934dff5-8550-4b28-b157-9a608b0477de
A train 125 m long passes a man, running at 2 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
[ "A)36", "B)50", "C)28", "D)47", "E)29" ]
D)47
aqua_rat
c309704a-35d1-4624-a7ed-9b2920f3b319
The decimal d is formed by writing in succession all the positive integers in increasing order after the decimal point; that is d = 0.123456789101112 What is the 100th digit of d to the right of decimal point ?
[ "A)0", "B)1", "C)5", "D)8", "E)9" ]
C)5
aqua_rat
5713814d-d64a-4331-a8c6-b6ac801840d1
Angelina walked 100 meters from her home to the grocery at a constant speed. She then walked 180 meters to the gym at double the speed. She spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym?
[ "A)2", "B)3", "C)0.5", "D)6", "E)12" ]
C)0.5
aqua_rat
8d88390b-dcbd-41c5-9fed-3802fc95940f
The sum of all the integers f such that -26 < f < 24 is
[ "A)0", "B)-2", "C)-25", "D)-49", "E)-51" ]
D)-49
aqua_rat
35b267b2-51fa-4659-aeb1-975563e61054
Tough and Tricky questions: Arithmetic. (54^2 + 54^2)/18^2 =
[ "A)24", "B)8", "C)29", "D)58", "E)116" ]
A)24
aqua_rat
ca92e042-fa7c-4214-9b88-06c4fc95bd0b
In a caravan, in addition to 50 hens there are 45 goats and 8 camels with some keepers. If the total number of feet be 224 more than the number of heads, find the number of keepers.
[ "A)25", "B)20", "C)15", "D)13", "E)14" ]
C)15
aqua_rat
efe4fee5-5ebc-42e2-a16b-da910e16ee17
Rich has 3 green, 2 red and 3 blue balls in a bag. He randomly picks 5 from the bag without replacement. What is the probability Q that of the 5 drawn balls, Rich has picked 1 red, 2 green, and 2 blue balls?
[ "A)8/28", "B)Q=9/28", "C)Q=10/28", "D)Q=10/18", "E)11/18" ]
B)Q=9/28
aqua_rat
0a632c03-4c3e-4221-86f9-e130cc9c9f82
Express a speed of 63 kmph in meters per second?
[ "A)10 mps", "B)14 mps", "C)17.5 mps", "D)19.4 mps", "E)10.8 mps" ]
C)17.5 mps
aqua_rat
4969885f-b327-4f0f-81ef-36259ad501c6
UBA Capital recently bought Brand new vehicles for office use. UBA capital only went for Toyota and Honda and bought less of Toyota than Honda at the ratio of 7:3. If 70% of the Toyota bought and 30% of the Honda bought were SUV’s. How many SUV’s did UBA capital buy in the aforementioned purchase?
[ "A)76%", "B)58%", "C)68%", "D)89%", "E)49%" ]
B)58%
aqua_rat
10289e4c-0947-4d73-8b7c-c83e1028cbdf
A computer store offers employees a 10% discount off the retail price. If the store purchased a computer from the manufacturer for $1200 dollars and marked up the price 10% to the final retail price, how much would an employee save if he purchased the computer at the employee discount (10% off retail price) as opposed to the final retail price.
[ "A)122", "B)132", "C)142", "D)152", "E)162" ]
B)132
aqua_rat
07c8a0fd-607b-444b-8e6f-1599ac9fcbd0
Machine A can do a certain job in 8 hours. Machine B can do the same job in 10 hours. Machine C can do the same job in 12 hours. All three machines start the job at 9:00 a.m. Machine A breaks down at 11:00 a.m., and the other two machines finish the job. Approximately what time T will the job be finished?
[ "A)Noon", "B)12:30 p.m.", "C)1:00 p.m.", "D)1:30 p.m.", "E)2:00 p.m." ]
C)1:00 p.m.
aqua_rat
b56688da-c032-4369-a123-48a8d502cd70
If x and y are positive integers, and 4x^2=3y, then which of the following must be a multiple of 4? I. x^2 II. y^2 III. xy
[ "A)I only", "B)II only", "C)III only", "D)I and II only", "E)I, II and III" ]
D)I and II only
aqua_rat
18497500-9ea0-423b-b7dc-ee1427e5fec3
The radius of a circle is increased by 1%. Find how much % does its area increases?
[ "A)2.21%", "B)2.07%", "C)2.08%", "D)2.01%", "E)2.11%" ]
D)2.01%
aqua_rat
8d76e016-f21f-4383-8fb3-df015bdd8b5b
Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travel in opposite directions, they meet after one hour and if they travel in same direction (from A towards B), then P meets Q after 6 hours. What is the speed of car P?
[ "A)22 km/hr", "B)70 km/hr", "C)77 km/hr", "D)66 km/hr", "E)44 km/hr" ]
B)70 km/hr
aqua_rat
658156e7-639b-49e6-8808-7cab03aed26a
A certain collage has total of 420 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects?
[ "A)100", "B)80", "C)75", "D)60", "E)50" ]
A)100
aqua_rat
8d5538a3-55cf-4d70-8675-0b5d1bb0affe
By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
[ "A)100%", "B)75%", "C)60%", "D)25%", "E)50%" ]
D)25%
aqua_rat
b028a9ad-fe01-446a-8242-bbd79120535e
What is the average of xx,2x2x,and 66?
[ "A)x+2", "B)x+2x", "C)x+2x+2", "D)2x+2", "E)x+2x-2" ]
C)x+2x+2
aqua_rat
8a677981-5628-427e-9f31-59a62e874481
?% of 360 = 93.6
[ "A)277", "B)36", "C)26", "D)72", "E)None of these" ]
C)26
aqua_rat
bf156517-198f-48d2-b4b1-165f893dedf8
How many ways can 5 friends be arranged around a circular dinner table?
[ "A)24", "B)56", "C)108", "D)120", "E)132" ]
A)24
aqua_rat
2f3aa0e2-ef57-4c18-93f1-85b4f1a4d6a2
Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who havenotpassed the test, 19 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?
[ "A) 60", "B) 70", "C) 100", "D) 120", "E) 140" ]
B) 70
aqua_rat
bad99575-b662-4547-ac6e-f23fc9fc1aab
How much 60% of 50 is greater than 42% of 30?
[ "A)18", "B)91", "C)11", "D)17.4", "E)12" ]
D)17.4
aqua_rat
54745512-6587-4e08-ac8c-77b0da0aa465
The length of the bridge, which a train 150 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
[ "A)388", "B)267", "C)225", "D)288", "E)261" ]
C)225
aqua_rat
66dc0f23-2062-45b3-8e93-6543bee43163
Sarah, Fatima, Salma, and Lina all got tips during their waitressing shift. The average of Sarah, Fatima, and Salma's tips was $100. The average of Fatima, Salma, and Lina's tips was $90. If Lina earned $85, what did Sarah earn?
[ "A)105", "B)108", "C)110", "D)113", "E)115" ]
E)115
aqua_rat
b0d51e4c-0de7-4f53-87f7-070151c7dfad
mixture contains alcohol and water in the ratio 4 : 3. If 6.5 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.
[ "A)10", "B)99", "C)27", "D)22", "E)5.6" ]
E)5.6
aqua_rat
6ac4a913-5a75-43c1-8b3c-5925e26a132c
Which of the following expressions CANNOT be equal to 0 when x^2 − 2x = 3?
[ "A)x^2 − 6x + 9", "B)x^2 − 4x + 3", "C)x^2 − x − 2", "D)x^2 − 7x + 6", "E)x^2 − 9" ]
D)x^2 − 7x + 6
aqua_rat
e32b3468-36d1-41bf-807d-b727a99e19ef
Machines X and Y produce bottles at their respective constant rates. Machine X produces k bottles in 6 hours and machine Y produces k bottles in 12 hours. How many hours does it take machines X and Y , working simultaneously , to produce 24k bottles?
[ "A) 48", "B) 42", "C) 45", "D) 98", "E) 96" ]
E) 96
aqua_rat
e1a268d9-3d30-4fd9-a6e4-412c8c739538
Find the wrong number below mentioned series 17, 600,6000,550,750
[ "A)600", "B)6000", "C)17", "D)550", "E)750" ]
C)17
aqua_rat
6effcc69-d70a-49b2-9d7d-2e066462a0bf
Pipes A and B can fill a tank in 9 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in
[ "A)1 13/17 hours", "B)2 8/11 hours", "C)3 9/17 hours", "D)5 1/7 hours", "E)None" ]
D)5 1/7 hours
aqua_rat
690325fa-b0a6-4b57-911a-ec19ab4a5cb0
What is the area of a square with perimeter 16P ?
[ "A) 16p^2", "B) 4P", "C) P^2/4", "D) P/16", "E) P^2/16" ]
A) 16p^2
aqua_rat
42149ee1-30f7-4dba-90ca-70735dbd7edc
A company received $2 million in royalties on the first $10 million in sales and then $8 million in royalties on the next $100 million in sales. By what percent did the ratio of royalties to sales decrease from the first $10 million in sales to the next $100 million in sales?
[ "A)30%", "B)40%", "C)50%", "D)60%", "E)70%" ]
D)60%
aqua_rat
be2f0a67-8d1f-430d-a9e0-515364a30ee1
If the productivity of a brigade grows by 40% when the number of the workers in the brigade is increased by one, then which of the following is closest to the ratio of the productivity of a 12-person brigade to that of a 10-person brigade?
[ "A)1.51", "B)0.82", "C)1.2", "D)1.21", "E)1.44" ]
A)1.51
aqua_rat
3e00c9b8-f8b2-4dc7-9da1-c89aaf297b00
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 9 km/hr completes one round in 5 min, then the area of the park (in sq. m) is?
[ "A)337500 m", "B)300000 m", "C)153600 m", "D)33750 m", "E)9000 m" ]
D)33750 m
aqua_rat
a60d301a-d8b3-4113-96e8-c4f411a87a24
If five chimpanzee can eat five mangoes in five minutes. How many minutes would it take for four chimpanzee to eat four mangoes ?
[ "A)5 minutes", "B)10 minutes", "C)8 minutes", "D)14 minutes", "E)20 minutes" ]
A)5 minutes
aqua_rat
337bfb93-2dd4-43b2-9ba7-cf0f73323391
In a certain sequence of 8 numbers, each number after the first is 1 more than the previous number. If the first number is −4, how many of the numbers in the sequence are positive?
[ "A)None", "B)One", "C)Two", "D)Three", "E)Four" ]
D)Three
aqua_rat
385a1809-50a2-4aa0-89b7-8b00cef934d5
Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 22 white marbles. How many red marbles could be in bag A?
[ "A)1", "B)3", "C)4", "D)2", "E)8" ]
D)2
aqua_rat
d5b9739e-7a0e-4c19-ab07-d829fee66262
A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 7 minutes?
[ "A)36", "B)54", "C)108", "D)216", "E)378" ]
E)378
aqua_rat
772de86b-2af8-4606-bfdb-99d9eb323c4d
A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
[ "A)33", "B)77", "C)48", "D)99", "E)22" ]
C)48
aqua_rat
dc8d077f-2cd4-4a2d-8581-3defd3f14d39
The ratio of the incomes of Chetan and Dinesh is 3:4. The ratio of their expenditures is 5:7. If each of them saves Rs.200, find the incomes of both?
[ "A)1977", "B)1892", "C)2928", "D)2791", "E)1600" ]
E)1600
aqua_rat
4b0f02b3-5f99-4eeb-b014-7ba8af9482fb
Three candidates contested an election and received 1136, 7636 and 15000 votes respectively. What percentage of the total votes did the winning candidate get?
[ "A)46%", "B)63%", "C)74%", "D)63%", "E)68%" ]
B)63%
aqua_rat
58181ac9-0dcf-4893-a355-f4bffd5738ab
If 20 percent of the members of a certain organization are women and 2/8 of the members of the organization are married men, which of the following statements concerning the membership must be true? I. The number of women in the organization is greater than the number of married men in the organization. II. The number of women in the organization is greater than the number of unmarried men in the organization. III. The number of unmarried men in the organization is greater than the number of married men in the organization.
[ "A)III", "B)II", "C)I", "D)I,II", "E)II,III" ]
A)III
aqua_rat
ad44cfdd-028e-4370-8564-a0509adfcfb2
A and B are two stations 125km apart. A train starts from A at 6a.m. and travels towards B at 50kmph. Another train starts from B at 7a.m. and travels towards A at 25kmph. At what time do they meet?
[ "A)7a.m.", "B)8a.m.", "C)9a.m.", "D)9.30a.m.", "E)10a.m." ]
B)8a.m.
aqua_rat
7d2be2f5-ca12-4efe-9117-b6c466c0853b
In the x-y plane, point (x, y) is a lattice point if both x and y are integers. A rectangle has a center at (1, 2) and width (x), length (y), 6", 4", respectively. Some points, such as the center (1, 2), are inside the rectangle, but a point such as (4, 2) is on the rectangle, but not in the rectangle. How many lattice points are in the rectangle?
[ "A)7", "B)71", "C)72", "D)17", "E)27" ]
D)17
aqua_rat
c1fc7d94-547f-43f0-b492-a0269fd2848c
A password of a computer used three digits where they are from 0 and 9. What is the probability that the password solely consists of prime numbers and zero?
[ "A)1/32", "B)1/16", "C)1/8", "D)2/5", "E)1/2" ]
C)1/8
aqua_rat
5f85c7ac-4718-4505-b7ed-6e40123c45d6
A boy can reach a certain place in 30 hours. If he reduces his speed by 1/30th, he goes 3 km less in that time. Find his speed.
[ "A)3 km/hr.", "B)6 km/hr", "C)8 km/hr", "D)14 km/hr", "E)None of these" ]
A)3 km/hr.
aqua_rat
3d456864-f51b-4eaa-8d22-783e8c2ed525
A money lender lent a total of $1400 to two of his customers. He charged at the rate of 5%p.a. to one of them and 6% p.a. to the other. If he earned an average of 5.67% on $1400, how much did he lend to each of the two customers?
[ "A)700; 1100", "B)938; 462", "C)1000; 800", "D)1200; 800", "E)None of the above" ]
B)938; 462
aqua_rat
4c4660cb-5819-4264-8883-644489da98ee
A man can row with a speed of 20 kmph in still water. If the stream flows at 11 kmph, then the speed in downstream is?
[ "A)28", "B)26", "C)31", "D)87", "E)24" ]
C)31
aqua_rat
05d793f3-f047-47b0-99cb-a7b6f86b5845
A three digit number consists of 9,5 and one more number . When these digits are reversed and then subtracted from the original number the answer yielded will be consisting of the same digits arranged yet in a different order. What is the other digit
[ "A)3", "B)4", "C)5", "D)6", "E)7" ]
B)4
aqua_rat
6b87a9af-21b2-445c-a1ac-3188660a8ba6
Arun borrowed a certain sum from Manish at a certain rate of simple interest for 2 years. He lent this sum to Sunil at the same rate of interest compounded annually for the same period. At the end of two years, he received Rs. 2400 as compound interest but paid Rs. 2000 only as simple interest. Find the rate of interest.
[ "A)40%", "B)30%", "C)20%", "D)10%", "E)15%" ]
A)40%
aqua_rat
1181a293-a25d-4f21-bf7f-ba7843d9159a
The 100-milliliter solution of sugar and water is 21% sugar. How much water (in milliliters) must be added to make a solution that is 12% sugar?
[ "A)55", "B)60", "C)65", "D)70", "E)75" ]
E)75
aqua_rat
ea58b1a7-c38e-4337-b648-f687488c650d
In a coconut grove, (x + 2) trees yield 60 nuts per year, x trees yield 120 nuts per year and (x – 2) trees yield 180 nuts per year. If the average yield per year per tree be 100, find x.
[ "A)3", "B)4", "C)5", "D)6", "E)7" ]
E)7
aqua_rat
7a5d0086-3eca-49d0-82a8-f8561e669314
Reena took a loan of 1200 with simple interest for as many years as the rate of interest. If she paid 432 as interest at the end of the loan period, what was the rate of interest?
[ "A)3.6", "B)6", "C)18", "D)Cannot be determined", "E)None" ]
B)6
aqua_rat
0f9a9228-2af5-4ab6-8793-dc25d7183df9
Three candidates contested an election and received 1136, 7636 and 12628 votes respectively. What percentage of the total votes did the winning candidate got?
[ "A)55%", "B)56%", "C)57%", "D)58%", "E)59%" ]
E)59%
aqua_rat