id
string
question
string
choices
list
answer_key
string
source
string
ce234c5e-1576-4711-a8ef-2456ef0c0093
If 10 % of an electricity bill is deducted, 45 is still to be paid. How much was the bill?
[ "A)50", "B)60", "C)55", "D)70", "E)None of these" ]
A)50
aqua_rat
6aae61a7-f76e-4444-a06c-d5b7e202bcb4
A three-person committee must be chosen from a group of 8 professors and 10 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)696", "C)C)630", "D)D)1,260", "E)E)1,980" ]
B)B)696
aqua_rat
95714f91-eb0c-4fcd-8964-41b25291db0a
Lorna invests $6000, with some at 6% annual interest and some at 11% annual interest. If she receives a total of $580 from these investments at the end of a year, how much was invested at the 6% interest rate?
[ "A)$160", "B)$1,600", "C)$2,200", "D)$4,400", "E)$5,840" ]
B)$1,600
aqua_rat
1816680d-2e37-4d75-9206-2b3c2c9c969f
If the number 97215 * 6 is completely divisible by 11, then the smallest whole number in place of * will be:
[ "A)3", "B)1", "C)2", "D)5", "E)4" ]
A)3
aqua_rat
ed4b6aa3-fe10-46ae-9661-63c537cabb74
Working together, Tim and Tom can type 12 pages in one hour. If they would be able to type 15 pages in one hour if Tom increases his typing speed by 30%, what is the ratio of Tom's normal typing speed to that of Tim?
[ "A)1/5", "B)5/1", "C)4/1", "D)1/4", "E)1/3" ]
B)5/1
aqua_rat
ada6c393-e201-46dd-9615-e4ba140ba489
If |t|=−t, which of the following must be true?
[ "A)x≥0", "B)t≤0", "C)x2>x", "D)x3<0", "E)2x<x" ]
B)t≤0
aqua_rat
b5662c11-cbf8-4edb-aa4b-5b3eb8e764cd
60 percent of movie theatres in Town X have 3 screens or less. 20% of those theatres sell an average of more than $200 worth of popcorn per showing. 56 percent of all the movie theatres in Town X sell $300 or less of popcorn per showing. What percent of all the stores on the street have 4 or more screens and sell an av...
[ "A)12", "B)18", "C)32", "D)40", "E)44" ]
B)18
aqua_rat
618f312d-0ada-4e12-aef2-c752c0393b96
The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is
[ "A)277", "B)668", "C)119", "D)177", "E)121" ]
C)119
aqua_rat
59fa83b6-ae9e-4b03-a318-0f48711fef55
Four of the following five parts lettered a, b, c, d and e are exactly equal. Which of the following is not equal to the other four?
[ "A)24(2) – 12(2) + 112 ÷ 14", "B)17 × 12 + 59 × 4", "C)15 × 28 + 20", "D)27 × 16 + 56 ÷ 8", "E)185 × 6 ÷ 2 – 23 × 5" ]
D)27 × 16 + 56 ÷ 8
aqua_rat
04b027c2-7ec1-4910-9a27-3345ed4ca73c
The radius of the two circular fields is in the ratio 5: 4 the area of the first field is what percent greater than the area of the second?
[ "A)22%", "B)32%", "C)34%", "D)64%", "E)36%" ]
D)64%
aqua_rat
7e1bbfd1-fec7-4215-a52c-ec4d0a638c02
A can run 192 metre in 28 seconds and B in 32 seconds. By what distance A beat B?
[ "A)38 metre", "B)28 metre", "C)24 metre", "D)15 metre", "E)28 metre" ]
C)24 metre
aqua_rat
0aca0741-7490-4e58-81fc-3be491136a4a
At the end of the day, February 14th, a florist had 120 roses left in his shop, all of which were red, white or pink in color and either long or short-stemmed. A third of the roses were short-stemmed, 20 of which were white and 10 of which were pink. The percentage of pink roses that were short-stemmed equaled the perc...
[ "A)20%", "B)50%", "C)55%", "D)75%", "E)80%" ]
B)50%
aqua_rat
dc2827bb-7d28-4fa4-bca5-61d4721ab471
A shop sells 1 chocolate at the rate Rupee 1 each . You can exchange three warppers for one chocolate. If you have Rs. 15, what is the maximum number of chocolates you can get?
[ "A)21", "B)22", "C)23", "D)24", "E)25" ]
B)22
aqua_rat
2770c09e-2d79-4d65-bad3-a2a0159efe41
A discount of 20 percent on an order of goods followed by a discount of 40 percent amounts to
[ "A)the same as one 45 percent discount", "B)the same as one 40 percent discount", "C)the same as one 36 percent discount", "D)the same as one 52 percent discount", "E)the same as one 25 percent discount" ]
D)the same as one 52 percent discount
aqua_rat
85c09d09-3996-404b-85c0-058a8a48e53a
For an integer n greater than 1, n* denotes the product of all the integers from 1 to n inclusive. How many prime numbers are there between 7*+2 and 7*+7, exclusive ?
[ "A)5", "B)1", "C)None of the above", "D)3", "E)4" ]
C)None of the above
aqua_rat
a44eed4f-d5b8-4c23-be9e-f0abba729692
Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed
[ "A)486", "B)366", "C)299", "D)278", "E)1888" ]
A)486
aqua_rat
dc8e068e-7f26-4ce7-a59b-0fb0e78eff11
Seats for Mathematics,PhysicsandfBilogy in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
[ "A)2:3:4", "B)6:7:8", "C)6:8:9", "D)5:8:9", "E)2:4:6" ]
A)2:3:4
aqua_rat
3365ac41-3ea2-4681-9268-9494cbcca7ad
In 10 years,A will be 1.5 times as old as B was 10 years ago.If A is now 9 years older than B,the present age of B is :
[ "A)17 Years", "B)29 Years", "C)39 Years", "D)49 Years", "E)59 Years" ]
A)17 Years
aqua_rat
d7df9c5d-af6a-4422-9fd6-a2868a31dac0
The number of stamps that Kaye and Alberto had were in the ration of 6:4 respectively. After Kaye gave Alberto 5 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 8:6. As a result of the gift, Kaye had how many more stamps than Alberto ?
[ "A)22", "B)25", "C)15", "D)35", "E)30" ]
B)25
aqua_rat
96ddf74c-0615-4085-87c8-4dfe666c15e2
The area of a square is added to one of its sides, and the perimeter is then subtracted from this total, the result is 4. What is the length of one side?
[ "A)5", "B)4", "C)3", "D)2", "E)1" ]
B)4
aqua_rat
54bac6b1-1b33-41b7-ba27-3fca1157f602
The ratio of the present age of Sandy to that of Molly is 9:2. Eight years from now, the ratio of the ages of Sandy to Molly will be 5:2. What was Sandy's age 6 years ago?
[ "A)18", "B)21", "C)24", "D)27", "E)30" ]
B)21
aqua_rat
56fbda18-a679-4468-89f3-307d7f073da2
Tom wants to buy items costing $25.35, $90.69, and $85.96. He earns $6.50 an hour doing odd jobs. If ten percent of his income is put aside for other purposes, how many hours must he work to earn the money he needs for his purchases? Round your answer to the nearest whole hour.
[ "A)8 hours", "B)48 hours", "C)38 hours", "D)18 hours", "E)35 hours" ]
E)35 hours
aqua_rat
5999479c-a443-432f-942c-7f9c95bb9222
The ratio of the adjacent angles of a parallelogram is 5 : 10. Also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?
[ "A)168°", "B)228°", "C)144°", "D)224°", "E)None of these" ]
C)144°
aqua_rat
f3babb74-8755-41e6-a666-e10ce8b1ce1d
Which of the following correctly lists the data sets in order of least to greatest standard deviation? I. 8, 13, 55, 12, 14, 64 II. 32, 32, 32, 32, 32, 32 III. 37, 38, 39, 40, 41, 42
[ "A)I, II, III", "B)I, III, II", "C)II, I, III", "D)II, III, I", "E)II,III, I" ]
E)II,III, I
aqua_rat
dbbbe9cf-3b7a-4670-91ee-46f3b321b46f
One fourth of a solution that was 10 percent wheat by weight was replaced by a second solution resulting in a solution that was 16 percent wheat by weight. The second solution was what percent wheat by weight ?
[ "A)34%", "B)24%", "C)22%", "D)18%", "E)8.5%" ]
A)34%
aqua_rat
256c73f6-a77c-4ba5-8837-d621d4414a06
How many different pairs of positive integers (a, b) satisfy the equation 1/a+1/b=34/41 ?
[ "A)6", "B)3", "C)2", "D)1", "E)0" ]
D)1
aqua_rat
76d57498-45d7-4756-8404-c37836e4ab63
In Mike's opinion, his weight is greater than 65kg but leas than 72 kg. His brother does not agree with Mike and he thinks that Mike's weight is greater than 60kg but less than 70kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of...
[ "A)55 kg", "B)55.5 kg", "C)59.5 kg", "D)66.5 kg", "E)70.5 kg" ]
D)66.5 kg
aqua_rat
b2548fcd-18c3-4c62-83c2-9d4edf8ad00a
How many ways are there to select a subcommittee of 12 members from among a committee of 17?
[ "A)22888", "B)19448", "C)28791", "D)27711", "E)6188" ]
E)6188
aqua_rat
47a5f934-4927-4e4f-a78e-a8edb1892733
A contractor undertook a project to complete it in 20 days which needed 5 workers to work continuously for all the days estimated. But before the start of the work the client wanted to complete it earlier than the scheduled time, so the contractor calculated that he needed to increase 5 additional men every 2 days to c...
[ "A)1 day", "B)2 days", "C)5 days", "D)None of these", "E)Cannot be determined" ]
B)2 days
aqua_rat
c4cbd2ec-2057-436f-9001-8d44d3fe1c80
If the integer q is rounded to the nearest hundred, the result represents a 66 2/3 % increase over the value obtained when q is rounded to the nearest ten. which of the following is a possible value of q?
[ "A)64", "B)67", "C)99", "D)133", "E)147" ]
A)64
aqua_rat
2ca17bf5-af37-4714-b0dc-933db4e57d27
Two men can complete a piece of work in four days. Two women can complete the same work in eight days. Four boys can complete the same work in five days. If four men, eight women and 20 boys work together in how many days can the work be completed?
[ "A)1/2 day", "B)2 1/2 days", "C)1 1/2 days", "D)3 1/2 days", "E)2 days" ]
A)1/2 day
aqua_rat
1d76e8c1-92c6-4727-a9fd-b2d300efd952
A city council will select 2 of 7 available firefighters and 1 of 6 available police officers to serve on an advisory panel. How many different groups of 3 could serve on the panel?
[ "A)36", "B)72", "C)144", "D)216", "E)126" ]
E)126
aqua_rat
74049230-3c9a-4731-8b8c-28798533d034
Angela has 13 pairs of matched socks. If she loses 7 individual socks, which of the following is NOT a possible number of matched pairs she has left?
[ "A)8", "B)9", "C)10", "D)11", "E)12" ]
C)10
aqua_rat
c2b5464e-b3c6-4f2b-986b-f810b40b3e1f
A store sells a certain product at a fixed price per unit. At the product's current price, e units cost a total of exactly $300. If the price were lowered by $5 from its current value, then e + 2n units would cost exactly $300; if the price were raised by $5, then e – n units would cost exactly $300. What is the value ...
[ "A)10", "B)15", "C)20", "D)25", "E)30" ]
C)20
aqua_rat
5ac3e9ff-9e35-4dc0-87ef-abbf7852447e
A train of length 240 metres takes 60 seconds to cross a tunnel of length 450 metres. What is the speed of the train in km/hr?
[ "A)10 km/hr.", "B)20 km/hr.", "C)30 km/hr.", "D)40 km/hr.", "E)None" ]
E)None
aqua_rat
52eda3e8-d228-412e-899c-6f97570d7e42
All of the students of Music High School are in the band, the orchestra, or both. 50 percent of the students are in only one group. There are 140 students in the band. If 20 percent of the students are in the band only, how many students are in the orchestra only?
[ "A)60", "B)70", "C)50", "D)80", "E)40" ]
A)60
aqua_rat
1456e7dd-0ff4-444e-8293-a66a73b88b63
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 50 years now, the son's age 10 years back was:
[ "A)14 years", "B)19 years", "C)33 years", "D)15 years", "E)39years" ]
D)15 years
aqua_rat
3550ae0c-0794-4907-b6a5-827208d43558
A man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses. Next year his income increases by 50% but his savings increase by 100%. If his total expenditure in 2 years is double his expenditure in 1st year, What %age of his income in the first year did he save?
[ "A)40%", "B)45%", "C)50%", "D)60%", "E)70%" ]
C)50%
aqua_rat
2902df15-4043-4018-8187-901c67e0b159
Consider below info to be a table: AMOUNT OF BACTERIA TIME - AMOUNT 1PM - 10gms 4PM - x gms 7PM - 10.0 gms Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same factor during each of the two 3-hour periods shown, how many grams of bacteria were prese...
[ "A)12.0", "B)12.1", "C)10.0", "D)12.3", "E)12.4" ]
C)10.0
aqua_rat
eb21db2b-a975-49e9-866e-6deaa37de72d
The ratio 10:20 expressed as percent equals to
[ "A)50 %", "B)80 %", "C)40 %", "D)90 %", "E)100%" ]
A)50 %
aqua_rat
0aa2ac08-f3cf-4484-b092-b3bf5b0bd924
Jonathan can type a 20 page document in 50 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document?
[ "A)5 minutes", "B)11 minutes", "C)15 minutes", "D)18 minutes", "E)20 minutes" ]
B)11 minutes
aqua_rat
96c594e5-5793-4421-bf2b-14956d80620a
How many integers are between 3 and 86/7, inclusive?
[ "A)8", "B)9", "C)10", "D)11", "E)12" ]
C)10
aqua_rat
fccc6648-215f-445e-a449-73d2e0f04d84
A milkman purchases the milk at Rs. x per litre and sells it at Rs. 2x per litre still he mixes 2 litres water with every 6 litres of pure milk. What is the profit percentage?
[ "A)166.69%", "B)166.66%", "C)166.76%", "D)136.66%", "E)566.66%" ]
B)166.66%
aqua_rat
ddc2b6fa-6aa4-411b-b5f1-9c99306b92fd
what is the unit digit in the product (3^68 x 6^59 x 7^71) ?
[ "A)1", "B)2", "C)4", "D)6", "E)None of them" ]
C)4
aqua_rat
e246ab4b-a872-4c89-bfb3-8f533a9553e8
Country C imposes a two-tiered tax on imported cars: the first tier imposes a tax of 10% of the car's price up to a certain price level. If the car's price is higher than the first tier's level, the tax on the portion of the price that exceeds this value is 8%. If Ron imported a $14,000 imported car and ended up paying...
[ "A)$1600", "B)$6000", "C)$6050", "D)$7050", "E)$8000" ]
A)$1600
aqua_rat
17a6c0e1-ccb1-44a4-800d-f23b90157661
9 points are marked on a straight line and another 8 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)540", "B)105", "C)196", "D)21", "E)14" ]
A)540
aqua_rat
cbdf8157-f581-4ef8-adcd-4a3e0a5dad32
A pair of articles was bought for Rs. 37.40 at a discount of 15%. What must be the marked price of each of the articles ?
[ "A)Rs15", "B)Rs 20", "C)Rs 22", "D)Rs 25", "E)Rs 26" ]
C)Rs 22
aqua_rat
d75d4d7f-b75d-49b8-9dc4-e22c50479967
Five persons - A, B, C, D and E are being compared in weight and height. The second heaviest person. D is the shortest. A is the 2nd tallest and shorter than E, The heaviest person is the third tallest person. There is only one person shorter than B, who is lighter than E and A respectively. Who is the heaviest person?
[ "A)A", "B)B", "C)C", "D)D", "E)E" ]
C)C
aqua_rat
3b9abb10-4951-473a-ac99-dbf9f1c3395b
There are 600 military people in a division of the army. There is one Officer for every 29 soldiers in that division. Now the question is how many officers are in the division?
[ "A)22", "B)35", "C)37", "D)20", "E)75" ]
D)20
aqua_rat
ab132219-c2fe-4bc3-8fa8-cbbf8e8a6b94
If the average (arithmetic mean) of a and b is 80, and the average of b and c is 180, what is the value of a − c?
[ "A)−220", "B)−200", "C)100", "D)135", "E)It cannot be determined from the information given" ]
B)−200
aqua_rat
0672dce9-03ee-41bf-82bd-9c23c225858e
An bus covers a certain distance at aspeed of 320 kmph in 5 hours. To cover the same distance in 1hr, it must travel at a speed of?
[ "A)560 km/h", "B)960 km/h", "C)779 km/h", "D)723 km/h", "E)720 km/h" ]
B)960 km/h
aqua_rat
aa8981e2-ce4c-4e7a-b4a7-6337620082bc
A trader purchased two colour televisions for a total of Rs. 35000. He sold one colour television at 30% profit and the other 40% profit. Find the difference in the cost prices of the two televisions if he made an overall profit of 32%?
[ "A)21000", "B)21009", "C)21029", "D)21298", "E)21098" ]
A)21000
aqua_rat
bb0edb12-4ca9-47b8-b607-58b18d9ae717
Which of the following number is divisible by 24 ?
[ "A)3100000", "B)3115832", "C)3115800", "D)3125832", "E)3125834" ]
D)3125832
aqua_rat
eccc731c-17af-49ca-bb83-d82d012a7d45
A train 120 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
[ "A)16 kmph", "B)88 kmph", "C)54 kmph", "D)18 kmph", "E)27 kmph" ]
E)27 kmph
aqua_rat
d0b6c127-8285-4fa2-bbe1-ef9674813cb6
Current age of Bruce and Tomy are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Tomy 's present age in years?
[ "A)18 years", "B)20 years", "C)24 years", "D)25 years", "E)26 years" ]
C)24 years
aqua_rat
ba4759cb-88c5-497d-b529-7f46424211c9
A box contains four dime coins, of which two coins have heads on both their faces, one coin has tail on both its faces and the fourth coin is a normal one. A coin is picked at random and then tossed. If head is the outcome of the toss, then find the probability that the other face (hidden face) of the coin tossed is al...
[ "A)3/4", "B)1/5", "C)2/5", "D)3/5", "E)4/5" ]
E)4/5
aqua_rat
dce94db6-5c27-4f34-89c8-40289619bdc2
On Monday, a certain animal shelter housed 50 cats and dogs. By Friday, 1/5 of the cats and 1/4 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)12", "B)14", "C)16", "D)18", "E)20" ]
A)12
aqua_rat
575b3cf5-ceb9-4962-95e2-da5fe1b23d0e
A student needed to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What is the value of x?
[ "A)12", "B)5", "C)7", "D)9", "E)10" ]
C)7
aqua_rat
f9c84ee9-e84e-48c6-bae1-47f960e083d6
What is the ratio A of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled?
[ "A)1/4", "B)3/8", "C)1/2", "D)3/5", "E)2" ]
D)3/5
aqua_rat
375dc146-42c3-47cf-8c22-b5f5e757789c
In western Europe, q bicycles were sold in each of the years 1990 and 1993. The bicycle producers of Western Europe had a 42 percent share of this market in 1990 and a 33 percent share in 1993. Which of the following represents the decrease in the annual number of bicycles produced and sold in Western Europe from 1990 ...
[ "A)9% of (x/100)", "B)14% of (x/100)", "C)75% of (x/100)", "D)9% of q", "E)14% of x" ]
D)9% of q
aqua_rat
141ee295-e0cb-4a50-81f6-f6e6c501f9c3
In a maths test, students were asked to find 5/16 of a certain number. One of the students by mistake found 5/6th of that number and his answer was 300 more than the correct answer. Find the number.
[ "A)125", "B)280", "C)384", "D)400", "E)576" ]
E)576
aqua_rat
82a282ac-9d6b-4327-849e-553e1fb7acbf
The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 8 years hence?
[ "A)50", "B)60", "C)70", "D)76", "E)90" ]
D)76
aqua_rat
82d48fef-3d76-4994-bd48-74d01373336d
Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 2244 sq. metres.
[ "A)25.4", "B)26.7", "C)24.3", "D)22.5", "E)None of these" ]
B)26.7
aqua_rat
294f2769-19e1-4680-b47a-478f89323661
In what time will a railway train 65 m long moving at the rate of 32 kmph pass a telegraph post on its way?
[ "A)3 sec", "B)4 sec", "C)5 sec", "D)6 sec", "E)7 sec" ]
E)7 sec
aqua_rat
8e6d0475-b697-4f3c-9be9-bfb9b18ff35a
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
[ "A)4", "B)7", "C)9", "D)13", "E)8" ]
A)4
aqua_rat
b9316c21-f582-47bb-b538-22ea42b68ba6
difference between LCM and HCF of following number 20 30 40?
[ "A)140", "B)130", "C)100", "D)110", "E)120" ]
D)110
aqua_rat
61499c59-d143-4b72-a266-99c7140b3f8c
Carrey rented a car for Rs.20 plus Rs.0.25 per kilometer driven. Samuel rented a car for Rs.24 plus Rs.0.16 per kilometer driven. If each drove d km. and each was charged exactly the same amount for the rental, then d equals ?
[ "A)44.4", "B)44.8", "C)1", "D)19", "E)44.11" ]
A)44.4
aqua_rat
024335b5-018a-4caf-81e8-91adb8aa0896
Three unbiased coins are tossed. What is the probability of getting 3 heads and 1 Tail?
[ "A)3/4", "B)1/4", "C)3/8", "D)1/2", "E)1/8" ]
D)1/2
aqua_rat
377245e7-c32c-4b0d-9879-0d3376d00794
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
[ "A)9", "B)9.6", "C)10", "D)10.8", "E)7" ]
D)10.8
aqua_rat
8cc694d4-e658-4a22-8145-2b759384b52d
An eccentric casino owner decides that his casino should only use chips in $5 and $9 denominations. Which of the following amount cannot be paid out using these chips?
[ "A)$31", "B)$37", "C)$33", "D)$24", "E)$15" ]
A)$31
aqua_rat
8bb348ba-de38-40e6-90bd-833d4e313ee9
The diameter of a garden roller is 1.4 m and it is 2 m long. How much area will it cover in 5 revolutions ? (use π = 22⁄7)
[ "A)40 m2", "B)44 m2", "C)48 m2", "D)36 m2", "E)None of these" ]
B)44 m2
aqua_rat
6900ef42-cb45-4d19-8611-c7a38f619c79
The base of a triangular field is three times its altitude. If the cost of cultivating the field at Rs. 24.68 per hectare be Rs. 333.18, find its base and height.
[ "A)100m", "B)125m", "C)150m", "D)278m", "E)300m" ]
E)300m
aqua_rat
b5310c6a-844c-46f0-b80a-0a0537c7a1e5
A chemist mixes one liter of pure water with x liters of a 75% salt solution, and the resulting mixture is a 15% salt solution. What is the value of x?
[ "A)1/4", "B)1/3", "C)1/2", "D)1", "E)3" ]
A)1/4
aqua_rat
cc75ec42-e161-475f-8de2-438d5c3e1d6e
Three rugs have a combined area of 200 square meters. By overlapping the rugs to cover floor area of 140 square meters, the area that is covered by exactly two layers of rug is 22 square meters. What is the area that is covered with three layers of rug ?
[ "A)18 square meters", "B)20 square meters", "C)24 square meters", "D)19 square meters", "E)30 square meters" ]
D)19 square meters
aqua_rat
0c60a3c5-20e7-498b-9f09-5f3fad8dde87
A thief is noticed by a policeman from a distance of 450 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes ?
[ "A)50 meter", "B)100 meter", "C)220 meter", "D)120 meter", "E)350 meter" ]
E)350 meter
aqua_rat
70b3eb9b-4416-4dff-b663-5b24d245ff50
How many bricks, each measuring 80 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
[ "A)6400", "B)2000", "C)5500", "D)7400", "E)3000" ]
B)2000
aqua_rat
b2fda423-e8b3-421f-8aea-267d93567123
A scale 6 ft. 8 inches long is divided into 4 equal parts. Find the length of each part.
[ "A)20 inches", "B)77 inches", "C)66 inches", "D)97 inches", "E)66 inches" ]
A)20 inches
aqua_rat
782e2ae7-cd07-4c70-9519-d2cb75d6eccb
A and B are two multiples of 14, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 14 multiples of 14, how many multiples of 7 are there in Q?
[ "A)26", "B)27", "C)28", "D)29", "E)30" ]
B)27
aqua_rat
5ede84e7-2b12-427e-9a6b-a8396e932f81
What will be the difference in simple and compound interest on 4000 after three years at the rate of 10 percent per annum?
[ "A)160", "B)42", "C)62", "D)124", "E)None of these" ]
D)124
aqua_rat
aaa63682-7112-4830-9f3b-8378b1ccd111
A hiker walking at a constant rate of 4 miles per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 16 miles per hour. the cyclist stopswaits for the hiker 5 min after passing her while the hiker continues to walk at her constant rate. how many minutes must the cycli...
[ "A)6 2/3", "B)15", "C)20", "D)25", "E)26 2/3" ]
B)15
aqua_rat
999731f7-8612-4dbd-a68f-80437c45acfc
The average height of 50 pupils in a class is 150 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is?
[ "A)551 cm", "B)151 cm", "C)156 cm", "D)165 cm", "E)146 cm" ]
B)151 cm
aqua_rat
76db9cb5-40b0-4caf-b0f8-2fa71d2697fd
Excluding stoppages, the speed of a train is 60 kmph and including stoppages it is 40 kmph. Of how many minutes does the train stop per hour?
[ "A)12", "B)14", "C)16", "D)18", "E)20" ]
E)20
aqua_rat
1a6fd68f-c67c-465c-be8a-79c3e6a66ee4
A man can do a piece of work in 10days, but with the help of his son, he can finish it in 5days. In what time can the son do it alone?
[ "A)5", "B)8", "C)7", "D)10", "E)15" ]
D)10
aqua_rat
548b9fa4-6aa0-4f0c-9e37-16e55016629f
Three bells chime at intervals of 18 min., 24 min. and 32 min. respectively. At a certain time they begin together. What length Q of time will elapse before they chime together again?
[ "A)2 hr. and 24 min.", "B)4 hr. and 48 min.", "C)1 hr. and 36 min.", "D)5 hr.", "E)2 hr." ]
B)4 hr. and 48 min.
aqua_rat
6163c46c-24c7-4f6a-b389-f1f7100ae6a7
Marks of a student were wrongly entered in computer as 83, actual marks of that student were 63. Due to this mistake average marks of whole class got increased by half (1/2). Find the total number of students in that class.
[ "A)25", "B)30", "C)35", "D)40", "E)45" ]
D)40
aqua_rat
ce8250ac-6ed5-4f48-a538-6b80688d207a
A mathematics teacher tabulated the marks secured by 35 students of 8th class. The average of their marks was 62. If the marks secured by Reema was written as 50 instead of 85 then find the correct average marks up to two decimal places.
[ "A)63", "B)74.31", "C)72.43", "D)73.43", "E)Cannot be determined" ]
A)63
aqua_rat
c134e44f-e0df-4311-8bc6-7b42feb6ef21
Find the largest number that will divide 43,91,183 so as to leave the same reminder in each case.
[ "A)5", "B)4", "C)26", "D)35", "E)9" ]
B)4
aqua_rat
144a7a7d-6b1d-48ee-8878-e8891b528bb1
Marla is hanging a banner diagonally across a rectangular room. The length of the room is 2 feet shorter than its width. If the total area of the room is 120 square feet, what is the length of the banner (in feet)?
[ "A)Between 13 and 14", "B)Between 14 and 15", "C)Between 15 and 16", "D)Between 16 and 17", "E)Between 17 and 18" ]
C)Between 15 and 16
aqua_rat
944c1fff-b869-4113-b019-289642ed6f45
A cyclist rides a bicycle over a route which is 1/3 uphill, 1/3 level, and 1/3 downhill. If the cyclist covers the uphill part of the route at the rate of 10 km per hour and the level part at the rate of 15 km per hour, what rate in km per hour would the cyclist have to travel the downhill part of the route in order to...
[ "A)20", "B)25", "C)30", "D)35", "E)40" ]
C)30
aqua_rat
e22a22b9-e957-4821-a97a-4c2a816e7db4
On the xy-plane, each point on circle C has coordinates such that x 0 and y 0. If the center of circle C is the point (3; 9), what is the maximum possible area of C?
[ "A) 6", "B) 9", "C) 24", "D) 32", "E) 64" ]
C) 24
aqua_rat
227c7ef6-5b38-449c-bcd8-56d608e214cc
If a certain sample of data has a mean of 24.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?
[ "A)12.0", "B)13.5", "C)17.0", "D)23.5", "E)16.5" ]
E)16.5
aqua_rat
9fc683cd-75cd-4d95-bd1c-fb5e6dabfa03
A not-so-good clockmaker has four clocks on display in the window. Clock #1 loses 25 minutes every hour. Clock #2 gains 15 minutes every hour relative to Clock #1 (i.e., as Clock #1 moves from 12:00 to 1:00, Clock #2 moves from 12:00 to 1:15). Clock #3 loses 20 minutes every hour relative to Clock #2. Finally, Clock #4...
[ "A)5:00", "B)5:34", "C)5:42", "D)6:00", "E)6:24" ]
C)5:42
aqua_rat
a10e02b9-a5d7-4581-88a3-04c43594f254
If HCF of two numbers is 11 and the product of these numbers is 363, what is the the greater number?
[ "A)33", "B)36", "C)38", "D)42", "E)44" ]
A)33
aqua_rat
cb3e74d4-9c00-4931-ad53-d3d84648b6f4
A man can row with a speed of 10 kmph in still water. If the stream flows at 30 kmph, then the speed in downstream is?
[ "A)10 kmph", "B)5 kmph", "C)40 kmph", "D)22 kmph", "E)25 kmph" ]
C)40 kmph
aqua_rat
396fed24-fd3f-4236-8863-2237b6a924a2
Find the ones digit of 73^356
[ "A)1", "B)5", "C)6", "D)7", "E)9" ]
A)1
aqua_rat
e0d533e9-7b8b-4ce0-a5b6-3815b92eb994
10^25 - 250 is divisible by all of the following except:
[ "A)A.11", "B)B.15", "C)C.5", "D)D.6", "E)E.3" ]
A)A.11
aqua_rat
dd44fe6f-5cd0-408e-9c7b-aa3ae2b0e41f
If A speaks the truth 85% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time
[ "A)0.49", "B)0.48", "C)0.41", "D)0.482", "E)0.51" ]
E)0.51
aqua_rat
11d9577f-75d5-4ac1-ae48-07fd3876a96d
Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.6 km?
[ "A)600 m", "B)300 m", "C)400 m", "D)700 m", "E)500 m" ]
A)600 m
aqua_rat
2760deaf-3791-4b9f-86c0-51e612a97c6a
A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years?
[ "A)Rs.3129", "B)Rs.3120", "C)Rs.3108", "D)Rs.3106", "E)Rs.3127" ]
B)Rs.3120
aqua_rat
8f614aea-9d69-4da6-a490-4927dd74fc39
A person travels equal distances with speed of 3 km/hr, 4 km/hr and 5 km/hr and takes a total of 47 minutes. Find the total distane
[ "A)3 km", "B)4 km", "C)6 km", "D)9 km", "E)5 km" ]
A)3 km
aqua_rat