id
string
question
string
choices
list
answer_key
string
source
string
ab910714-9874-408a-9a41-07d164e5291c
The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
[ "A)2377", "B)1683", "C)2677", "D)9972", "E)1611" ]
B)1683
aqua_rat
ca7e8f3d-c3b7-48ba-a51c-4a41e716fe3f
Plane leaves from Chelsea every 50 minutes from West Ham airport. Air hostess told Frank Lampard that the plane had left 25 minutes ago and the next plane for Chelsea will leave at 7:00 p.m. At what time air hostess convey this information to Frank Lampard?
[ "A)6:35 pm", "B)4:35 pm", "C)4:35 pm", "D)7:35 pm", "E)8:35 pm" ]
A)6:35 pm
aqua_rat
c4febd68-570b-4a41-a93d-18145f1dcbb3
A number a is squared and then multiplied by negative 3. The result of this operation is equal to three times the sum of three times a and two. What is one possible value of a ?
[ "A)-3", "B)-2", "C)1", "D)2", "E)3" ]
D)2
aqua_rat
354edae5-8ac8-43aa-9297-f3a4805e7529
The value of a machine depreciates at the rate of 10% per annum. If its present value is Rs. 81000, what will be its worth after 2 ears? What was the value of the machine 2 years ago?
[ "A)Rs 65610,Rs 100000", "B)Rs 64320,Rs 120000", "C)Rs 60000,Rs 90000", "D)Rs 72690,Rs 95700", "E)None of thsee" ]
A)Rs 65610,Rs 100000
aqua_rat
7f2635c9-8955-4152-9370-55e0173e3ecb
The balance of a trader weighs 10% less than it should. Still the trader marks up his goods to get an overall profit of 20%. What is the mark up on the cost price?
[ "A)40%", "B)8%", "C)25%", "D)16.66%", "E)9%" ]
B)8%
aqua_rat
0ffc74d2-4609-4999-bf84-12c8a3588894
What is the probability of getting a number less than 4 when a die is rolled?
[ "A)5/5", "B)1/2", "C)5/1", "D)5/7", "E)5/2" ]
B)1/2
aqua_rat
c80df1fe-f5a0-4668-a086-89684a0a7248
There are a total of 17 students in Mr. David's gym class. Over the course of a badminton unit, each of the 17 students will compete exactly once against every other student in the class. How many total games of badminton will be played?
[ "A)138", "B)136", "C)190", "D)210", "E)153" ]
B)136
aqua_rat
ff73229b-4a54-4704-8985-4a6fe2db4975
A company organzied a help desk.there have been done 24 hrs work on software,17 hrs on help user nd 40% on other services.find the total no. of hrs have been worked on that day?
[ "A)68", "B)69", "C)70", "D)67", "E)76" ]
A)68
aqua_rat
bef1c4ec-aba1-48c8-ba90-41521ee6446a
Rs.4500 amounts to Rs.5544 in two years at compound interest, compounded annually. If the rate of the interest for the first year is 12%, find the rate of interest for the second year?
[ "A)100%", "B)1%", "C)10%", "D)0.1%", "E)0.01%" ]
B)1%
aqua_rat
37fcf24b-e075-450e-96b0-d7edf9458dd3
In a kilometer race, A beats B by 200 meters or 10 seconds. What time does A take to complete the race?
[ "A)180 sec", "B)190 sec", "C)290 sec", "D)490 sec", "E)40 sec" ]
E)40 sec
aqua_rat
283088ef-c80d-4888-8041-13b10a6ccab9
At what angle the hands of a clock are inclined at 15 minutes past 5?
[ "A)58 1/2 º", "B)64º", "C)67 1/2 º", "D)72º", "E)77º" ]
C)67 1/2 º
aqua_rat
63875f2a-f97d-4ca0-8f18-15337dc720fd
A, B and C enter into a partnership. They invest Rs. 50,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?
[ "A)16 : 14 : 8", "B)15 : 16 : 28", "C)15 : 4 : 28", "D)3 : 4 : 1", "E)3 : 4 : 5" ]
B)15 : 16 : 28
aqua_rat
36259f33-5f0d-4c63-b0de-ef074008a02f
The average weight of 8 sailors in a boat is increased by 1 kg if one of them weighing 56 kg is replaced by a new sailor. The weight of the new sailor is?
[ "A)57 kg", "B)60 kg", "C)64 kg", "D)62 kg", "E)66 kg" ]
C)64 kg
aqua_rat
59665e81-84f9-4822-a918-ac4c634ccadf
A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 9 are wrong and the other digits are correct, then the correct answer would be:
[ "A)553681", "B)555181", "C)555681", "D)556581", "E)556881" ]
C)555681
aqua_rat
6149bde1-4e3a-4b56-a4d7-4863eb7b016c
Express of the following as a fraction: 45%
[ "A)14/25", "B)9/20", "C)9/40", "D)9/19", "E)None of them" ]
B)9/20
aqua_rat
74532450-ebd5-465d-9752-59e9fa1eec4e
39 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?
[ "A)24", "B)77", "C)26", "D)25", "E)13" ]
C)26
aqua_rat
8dfdd4db-07f0-4bf8-b15a-e68f621eefdd
a light flashes every 30 seconds, how many times will it flash in ? of an hour?
[ "A)550", "B)600", "C)650", "D)700", "E)120" ]
E)120
aqua_rat
d431fab8-5209-479d-91cd-26d89920d046
A store has 10 bottles of juice, including 5 bottles of apple juice. In the evening, 6 bottles of juice are sold one by one. What is the probability of selling 4 bottles of apple juice among the 6 bottles? Assume that every bottle has an equal chance of being bought.
[ "A)2/7", "B)3/11", "C)4/15", "D)5/21", "E)6/25" ]
D)5/21
aqua_rat
cddf22df-a9ee-4a20-bcd6-149609e458c2
Last year a worker saved 6% of her annual salary. This year, she made 20% more money than last year and she saved 5% of her salary. The amount she saved this year was what percent of the amount she saved last year?
[ "A)90%", "B)100%", "C)110%", "D)120%", "E)130%" ]
B)100%
aqua_rat
8e6fb52d-83ce-4697-8aeb-c174c1eed796
A call center has two teams. Each member of Team A was able to process 6/5 calls as compared to each member of Team B. If Team A has 5/8 as many number of call center agents as Team B, what fraction of the total calls was processed by Team B?
[ "A)3/2", "B)3/4", "C)4/7", "D)1/2", "E)1/5" ]
C)4/7
aqua_rat
37801e1e-94ec-40b2-b13b-b00b5e0b55a2
A train 520 meters long is running with a speed of 34 kmph. The time taken by it to cross a tunnel 280 meters long is?
[ "A)287 sec", "B)89 sec", "C)48 sec", "D)16 sec", "E)17 sec" ]
B)89 sec
aqua_rat
4b05e07b-0715-4a54-9f0d-ec3dc03a5c0d
P is four times as fast as Q and working together, they can complete a work in 5 days. In how many days can Q alone complete the work?
[ "A)5 3/4 days", "B)6 1/4 days", "C)16 days", "D)25 days", "E)18 days" ]
B)6 1/4 days
aqua_rat
f3d81aae-b198-4b2b-a2a0-317edeef560c
If y exceeds x by 60%, then x is less than y by?
[ "A)1/2%", "B)1/3%", "C)1/4%", "D)1/5%", "E)1/6%" ]
A)1/2%
aqua_rat
d622aae2-7f90-4b08-aaee-cd87eab9cdbc
The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?
[ "A)1:28", "B)1:27", "C)1:29", "D)1:39", "E)1:22" ]
B)1:27
aqua_rat
830f9178-b7bb-4c1d-9773-061b9fb2c074
A plane travels in the shape of equilateral triangle have sped of 20km/hr, 40km/hr and 60km/hr. Find the average speed of the palne.
[ "A)42.73 km/h", "B)52.73 km/h", "C)32.73 km/h", "D)62.73 km/h", "E)72.73 km/h" ]
C)32.73 km/h
aqua_rat
c2834188-1524-49b9-810a-0177243adb99
How much water must be added to 10 gallons of 10% brine solution to decrease the concentration to 8%?
[ "A)0—1.5 gal", "B)1.5—3 gal", "C)3—4.5 gal", "D)4.5—6 gal", "E)6+ gal" ]
B)1.5—3 gal
aqua_rat
5319258c-b8fa-476e-b132-5277dd7a9f0f
A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train?
[ "A)287", "B)699", "C)677", "D)300", "E)150" ]
D)300
aqua_rat
7dfc2ea4-ee8c-4e41-a439-e9995dd916da
In a kilometre race, A can give B a start of 100 m or 15 seconds. How long does A take to complete the race?
[ "A)150 seconds", "B)165 seconds", "C)135 seconds", "D)66.67 seconds", "E)180 seconds" ]
C)135 seconds
aqua_rat
7c0b0569-5d13-4ce8-8b48-5d0fc8dad2f2
Find the surface area of a cuboid 16 m long, 14 m broad and 7 m high
[ "A)868 sq.cm", "B)920 sq.cm", "C)727 sq.cm", "D)900 sq.cm", "E)None of these" ]
A)868 sq.cm
aqua_rat
8cdbf9bc-ffa5-4584-acf7-f266af0a8eed
A student took 6 courses last year and received an average (arithmetic mean) grade of 100 points. The year before, the student took 5 courses and received an average grade of 60 points. To the nearest tenth of a point, what was the student’s average grade for the entire two-year period?
[ "A)79", "B)89", "C)95", "D)81.81", "E)97.2" ]
D)81.81
aqua_rat
76cceef1-9e47-45db-bf14-3c5ac590aeab
The average weight of 40 girls sitting in a bus had some value. A new girl added to them whose weight was 60 kg only. Due to her arrival, the average weight of all the girls decreased by 20 kg. Find the average weight of first 40 boys?
[ "A)850", "B)80", "C)176", "D)500", "E)880" ]
E)880
aqua_rat
0672b398-fbe7-453a-a11b-958a7d5ec6a5
In how many ways 8 different tickets E can be distributed between Jane and Bill if each is to receive any even number of tickets and all 8 tickets to be distributed.
[ "A)From 2 to 6 inclusive.", "B)From 98 to 102 inclusive.", "C)From 122 to 126 inclusive.", "D)From 128 to 132 inclusive.", "E)From 196 to 200 inclusive." ]
D)From 128 to 132 inclusive.
aqua_rat
6e477898-2488-4534-bec6-a3aecb217ac1
he ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of that article?
[ "A)2:6", "B)2:9", "C)2:4", "D)2:1", "E)2:5" ]
E)2:5
aqua_rat
19993ae9-6e18-4b18-a3ff-6879ee5644d2
How many such letter-pairs are there in the word FRONTIER having same no. of letters left between them as they have in the series?
[ "A)2", "B)4", "C)1", "D)3", "E)5" ]
A)2
aqua_rat
e2f5e7a1-f534-4975-be94-0f3881fe8f26
Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
[ "A)Rs.12:29", "B)Rs.18:90", "C)Rs.16.28", "D)Rs.16.50", "E)Rs.82.09" ]
D)Rs.16.50
aqua_rat
2eb1a3b9-b7f9-4fe2-8031-5b04737b42c3
A survey was sent to 80 customers, 9 of whom responded. Then the survey was redesigned and sent to another 63 customers, 12 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?
[ "A)2%", "B)5%", "C)14%", "D)28%", "E)69%" ]
E)69%
aqua_rat
9d7acddd-6ea1-416d-94ba-7141d1bef5c8
50% of a number is more than 40% of 120 by 180. Find the number?
[ "A)456", "B)480", "C)420", "D)445", "E)320" ]
A)456
aqua_rat
275f7694-deae-45b7-8f74-af0a0bceb114
14 times a number gives 210. The number is
[ "A)11", "B)12", "C)15", "D)None", "E)Cannot be determined" ]
C)15
aqua_rat
16208678-5a13-463d-bc99-72d04cf89d46
One drier dries certain quantity of material in 24 minutes. Another drier does the same work in 2 minutes how much time will it take to do the same job when both driers are put to work ?
[ "A)1.00 minutes", "B)1.20 minutes", "C)1.50 min", "D)1.85 min", "E)2.00 minutes" ]
D)1.85 min
aqua_rat
3662339c-dd44-47d5-82f3-8f903b17cd4c
If a car had traveled 25 kmh faster than it actually did, the trip would have lasted 30 minutes less. If the car went exactly 75 km, at what speed did it travel?
[ "A)30 kmh", "B)40 kmh", "C)45 kmh", "D)50 kmh", "E)55 kmh" ]
D)50 kmh
aqua_rat
643230ef-805a-4ee8-b8fe-ecadc8d9d5ed
In a class everyone will play at least one sport viz table tennis, cricket and badminton. 73 students play table tennis, 79 play badminton, 75 play cricket and 25 students play both table tennis and badminton, 24 play both table tennis and cricket 30 play. Badminton and cricket and 17 students play all the sports. How ...
[ "A)35", "B)38", "C)39", "D)47", "E)37" ]
A)35
aqua_rat
c56eee62-3a5b-4e6e-9b4b-634dfd7f7f1f
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.12350. Find the share of A?
[ "A)3002", "B)3000", "C)3018", "D)4000", "E)5000" ]
E)5000
aqua_rat
7b8292fd-1df8-4ad0-af9c-c2496bada93c
After 95 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
[ "A)7 liters", "B)4 liters", "C)3 liters", "D)5 liters", "E)6 liters" ]
D)5 liters
aqua_rat
03cbadc7-50b6-455e-b862-c3ff1639f52f
In a school 10% of the boys are same in number as 1/2th of the girls. what is the ratio of boys to the girls in the school?
[ "A)5:1", "B)2:3", "C)1:4", "D)3:7", "E)2:5" ]
A)5:1
aqua_rat
13b6540c-6550-434a-950a-978cc45ac6bb
In case P there are 2 red pens and 3 blue pens, in case Q there is 1 red pen and 4 blue pens. A case is randomly picked, what is the probability of picking up a red pen from case Q?
[ "A)1/10.", "B)4/5.", "C)3/10.", "D)3/5.", "E)2/3." ]
A)1/10.
aqua_rat
fc435ea9-fccb-4f48-ac21-3453917c435b
A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
[ "A)665", "B)700", "C)720", "D)730", "E)750" ]
A)665
aqua_rat
3430d719-3a12-449b-b424-9660d446e633
The organizers of a fair projected a 25 percent increase in attendance this year over that of last year, but attendance this year actually decreased by 20 percent. What percent of the projected attendance was the actual attendance?
[ "A)45%", "B)56%", "C)64%", "D)75%", "E)80%" ]
C)64%
aqua_rat
953f15ae-ca42-490d-abd7-72b5cb9d43d2
A train 110 m long is running with a speed of 30 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)7 sec", "B)6 sec", "C)8 sec", "D)11 sec", "E)2 sec" ]
D)11 sec
aqua_rat
91dd0c6f-823e-4d9e-8334-4790ef4a3676
A and B can do a piece of work in 8 days. With the help of C they finish the work in 4 days. C alone can do that piece of work in?
[ "A)40 days", "B)20 days", "C)8 days", "D)60 days", "E)40 days" ]
C)8 days
aqua_rat
d8207b53-b9eb-4b73-a66d-1bb852f00e4f
When a certain number X is divided by 143, the remainder is 42. Which of the following numbers, if added to X, would result in a number divisible by 13?
[ "A)10", "B)21", "C)34", "D)47", "E)55" ]
A)10
aqua_rat
817d3af7-b2e4-4795-8288-dff2a049a219
(√27+√243)/√48=?
[ "A)2√2", "B)2√3", "C)3√2", "D)3√3", "E)3" ]
E)3
aqua_rat
b49f16b2-5b17-4bdb-beae-c7c84fbc7d6f
Solution A is 20% chlorine and Solution B is 80% chlorine. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% chlorine solution?
[ "A)6:4", "B)6:14", "C)4:4", "D)4:6", "E)3:7" ]
C)4:4
aqua_rat
cd6e4070-692c-455b-b330-8d0df633c37b
Find the number, the second digit of which is smaller than its first digit by 4, and if the number was divided by the digit’s sum, the quotient would be 7.
[ "A)64", "B)74", "C)84", "D)87", "E)89" ]
C)84
aqua_rat
ccea11ee-16f3-4508-b20c-f9c6eaf49fe0
There is a 40% chance that Betty will visit Denmark this year, while there is a 30% chance that she will visit Peru this year. What is the probability that Betty will visit either Denmark or Peru this year, but NOT both?
[ "A)44%", "B)46%", "C)48%", "D)50%", "E)52%" ]
B)46%
aqua_rat
467e0f8f-c4a2-45c5-9f15-e1379a35180a
The ratio of the arithmetic mean of two numbers to one of the numbers is 5:7. What is the ratio of the smaller number to the larger number?
[ "A)2:3", "B)2:5", "C)3:7", "D)4:9", "E)5:6" ]
C)3:7
aqua_rat
eeb72f83-20cf-4f07-8603-7c1156502e5c
At a tanning salon, customers are charged $10 for their first visit in a calendar month and $5 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one visit. If those ...
[ "A)$1220", "B)$1200", "C)$1300", "D)$1340", "E)$1880" ]
B)$1200
aqua_rat
a6584fe5-1153-46eb-9cda-a7e72f2a9d7c
Light glows for every 16 seconds . How many times did it between 1:57:58 and 3:20:47 am
[ "A)311", "B)322", "C)313", "D)314", "E)385" ]
A)311
aqua_rat
0b180524-c1fd-429a-a024-403d9de950ea
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
[ "A)33/95", "B)33/91", "C)33/94", "D)33/16", "E)33/17" ]
B)33/91
aqua_rat
aba0ecab-fac0-4edc-b5aa-c3005fb6b132
A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
[ "A)35/145", "B)36/145", "C)36/140", "D)36/141", "E)31/142" ]
B)36/145
aqua_rat
636f5956-e27a-41a9-b7c0-b983c072bb18
What is the area of square field whose side of length 15 m?
[ "A)225", "B)777", "C)266", "D)288", "E)261" ]
A)225
aqua_rat
6010f9c1-036a-47a5-aed1-89022023d2d0
If seven numbers are randomly selected without replacement from set {1, 2, 3, 4, 5, 6, 7}, what is the probability that the numbers are selected in ascending order?
[ "A)1/2560", "B)1/6400", "C)1/4820", "D)1/5040", "E)1/1280" ]
D)1/5040
aqua_rat
463f2863-5d23-4c41-bcf1-5262411ba301
Solution x contains 75% water and 25% oil; how many more liters of water than liters of oil are in 200 liters of solution x?
[ "A)50", "B)100", "C)125", "D)150", "E)175" ]
B)100
aqua_rat
9c48673d-e4b4-4364-9e1b-3cc102618a0f
What is the greatest prime factor of (14!13!) + (14!15!)?
[ "A)31", "B)71", "C)151", "D)191", "E)211" ]
E)211
aqua_rat
a40f7bde-cacc-42b4-bcf3-1cba78c09217
In a jar there are balls in different colors: blue, red, green and yellow. The probability of drawing a blue ball is 1/5. The probability of drawing a red ball is 1/5. The probability of drawing a green ball is 1/10. If a jar cannot contain more than 50 balls, how many yellow balls are in the Jar?
[ "A)5.", "B)4.", "C)3.", "D)2.", "E)7." ]
A)5.
aqua_rat
acf09bfb-0471-4781-a27f-d7098f9cf398
How many numbers from 45 to 110 are exactly divisible by 12?
[ "A)5", "B)7", "C)6", "D)11", "E)12" ]
C)6
aqua_rat
6aebc1d5-e1a7-4878-85da-643b09891d78
A train passes a station platform in 36 sec and a man standing on the platform in 24 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
[ "A)767 m", "B)240 m", "C)180 m", "D)176 m", "E)186 m" ]
C)180 m
aqua_rat
0d01e647-5b5a-44e6-811f-7a1f68c0d0f8
Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 150 hours, which of the following CANNOT be the total number of hours that the four staff memb...
[ "A)1200", "B)800", "C)480", "D)192", "E)400" ]
D)192
aqua_rat
5b5f9fe8-af58-4893-a598-ea8c5e354dd1
There are 2 sections A and B in a class, consisting of 24 and 16 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, Find the average of the whole class?
[ "A)35.29kg", "B)37.25kg", "C)42kg", "D)38kg", "E)29.78kg" ]
D)38kg
aqua_rat
cb5821bf-ea95-484f-a7c5-33ceb2800dec
The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 56 with him, what was the average amount with the group before his joining the group?
[ "A)s.13", "B)s.12", "C)s.15", "D)s.22", "E)s.14" ]
E)s.14
aqua_rat
a0acb7df-bf05-4ecc-a8e4-2e5d976cf616
Sue's trail mix is 30% nuts and 70% dried fruit. Jane's trail mix is 60% nuts and 40% chocolate chips. If the combined mixture of Sue and Jane's trails mix contains 40% nuts, what percent of the combined mixture is dried fruit?
[ "A)16.7%", "B)23.33%", "C)25%", "D)33.3%", "E)46.7%" ]
E)46.7%
aqua_rat
e486d619-2a87-45f8-835a-18003e88e03b
If it is assumed that 65 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?
[ "A)400", "B)420", "C)461.5", "D)500", "E)600" ]
C)461.5
aqua_rat
b1e29b71-6972-47ca-ac63-2075e25b36f5
The rate of increase of the price of sugar is observed to be two percent more than the inflation rate expressed in percentage. The price of sugar, on January 1, 1994, is Rs. 40 per kg. The inflation rate for the years 1994 and 1995 are expected to be 18% each. The expected price of sugar on January 1, 1996 would be
[ "A)57.6", "B)58.4", "C)54.4", "D)24.6", "E)None of these" ]
A)57.6
aqua_rat
d0a03bea-dfbb-4f47-b6b2-62273b7e7998
Susan weighs 10 pounds more than Anna does, and together they weigh a total of 110 pounds. Which of the following represents Anna’s weight in pounds?
[ "A)50", "B)60", "C)70", "D)80", "E)85" ]
A)50
aqua_rat
af2a5ffa-5869-46d2-adad-f65dd71dcec7
If the pice of sugar rises from Rs. 6 per kg to Rs. 7.50 per kg, a person, to have no increase in his expenditure on sugar, will have to reduce his consumpion of sugar by
[ "A)22", "B)20", "C)98", "D)77", "E)32" ]
B)20
aqua_rat
6b2556f3-33c6-4a34-af3e-0c8ac5965154
Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 5 inches from his current location, Gardensquare. Pete arrives in Madison 3.5 hours later and drove at an average speed of 60 miles per hour. At what scale, in inches per mile, is the map drawn?
[ "A)1/3", "B)1/30", "C)1/42", "D)2", "E)30" ]
C)1/42
aqua_rat
95d5d168-13a9-4583-bd71-567695d2d18d
For 600 km journey it will take 8hrs, if 120 km is done by bus and the rest by car. It takes 20 minutes more, if 200 km is done by busand the rest by car. The ratio of the speed of the train to that of the cars is?
[ "A)1 : 4", "B)3 : 4", "C)2 : 7", "D)3 : 7", "E)1 : 3" ]
B)3 : 4
aqua_rat
b2a4562c-4577-4e46-ae5d-d222f15cf47e
A seller of used cars has 16 cars to sell and each of his clients selected 2 cars that he liked most. If each car was selected exactly thrice, how many clients visited the garage?
[ "A)8", "B)10", "C)12", "D)14", "E)24" ]
E)24
aqua_rat
c2cab114-e932-4a7b-910d-6fc9a23cdf01
If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle.
[ "A)40 cm", "B)45 cm", "C)50 cm", "D)52 cm", "E)57 cm" ]
C)50 cm
aqua_rat
7da5ef69-c691-4fa8-8038-8bd1600272e7
How much is it cost $0.50 each tire for 8 tires?
[ "A)$3.00", "B)$9.00", "C)$2.00", "D)$4.00", "E)$7.00" ]
D)$4.00
aqua_rat
2b3801e8-3ca7-4186-b4f5-56583835ca61
Set A {3,3,3,4,5,5,5} has a standard deviation of 1. What will the standard deviation be if every number in the set is multiplied by 5?
[ "A)A)1", "B)B)2", "C)C)4", "D)D)8", "E)E)5" ]
E)E)5
aqua_rat
cb2dfa11-7b66-4c5b-9b43-563daca22ac8
If a certain manager had received a 10% raise instead of the 12% raise that she actually received, her salary would have been $65000. What was her actual salary after the raise?
[ "A)60000", "B)66181.8", "C)66800", "D)68000", "E)59000" ]
B)66181.8
aqua_rat
5b67bb14-c86b-4c1f-831b-841b8c544e2f
Multiplication of 2 numbers is 9375 and the quotient, when the larger one is divided by the smalleris 15. Find the sum of the numbers?
[ "A)200", "B)300", "C)400", "D)500", "E)600" ]
C)400
aqua_rat
5883d42e-c9cc-4b20-b46a-e607c328413b
x-1-x=5-then-x-4-3x-3-5x-2-3x-1-x-4-1
[ "A)-20", "B)-22", "C)-25", "D)-27", "E)-29" ]
A)-20
aqua_rat
e15df927-f19c-4898-bb6e-7f342ff32189
(164)^2 - (163)^2 =
[ "A)1", "B)100", "C)229", "D)327", "E)349" ]
D)327
aqua_rat
0a9cf760-8025-48fa-9ac6-4f5204a98faa
45 litres of diesel is required to travel 600 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine?
[ "A)80 litres", "B)90 litres", "C)120 litres", "D)170 litres", "E)None of these" ]
B)90 litres
aqua_rat
23751202-b14c-4df9-a092-187eaed1e713
If q and s are positive integers such that (2^q)(4^s) = 16, then 2q + s =
[ "A) 2", "B) 3", "C) 4", "D) 5", "E) 6" ]
D) 5
aqua_rat
a1ff6167-67bd-46bd-9186-bd0beefc7667
Find the smallest positive integer n such that tn of the arithmetic sequence 20,19¼ ,18½ ,… is nagative
[ "A)27", "B)28", "C)29", "D)30", "E)31" ]
B)28
aqua_rat
3fd7f251-dcf7-4988-80a2-72eb02a2f9fa
Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
[ "A)19.7", "B)19.9", "C)20.9", "D)21.9", "E)22" ]
A)19.7
aqua_rat
e05b8c77-f3a3-4322-ba39-7a727e575834
If A(k)=(2k+1)^K, and k=0, what is the value of A(A(A(k)))?
[ "A)343", "B)199", "C)121", "D)69", "E)249" ]
A)343
aqua_rat
fcd5a388-f104-4e90-9dc1-dd0518295147
What is the sum of the different positive prime factors of 1080?
[ "A)6", "B)4", "C)8", "D)9", "E)10" ]
E)10
aqua_rat
813561fc-a55b-40c8-83a1-c6be2376792b
The side of a square has the length of 7. What is the area of the region shaded?
[ "A)48-8π", "B)48-6 π", "C)24+6π", "D)48-7π", "E)64-8π" ]
D)48-7π
aqua_rat
7e879648-1083-43d0-8034-714b3cf677be
Two friends plan to walk along a 33-km trail, starting at opposite ends of the trail at the same time. If Friend P's rate is 20% faster than Friend Q's, how many kilometers will Friend P have walked when they pass each other?
[ "A)15", "B)16", "C)17", "D)18", "E)19" ]
D)18
aqua_rat
adcea754-ce01-4ce0-8674-b685a766e6e0
The ratio between the sale price and the cost price of an article is 6:5. What is the ratio between the profit and the cost price of that article?
[ "A)2:9", "B)1:5", "C)3:6", "D)2:0", "E)2:1" ]
B)1:5
aqua_rat
544e1bdb-e0bb-4de4-917f-f91c9e562cd2
How many 7 in between 1 to 90?
[ "A)19", "B)20", "C)22", "D)23", "E)24" ]
A)19
aqua_rat
ee4722b8-2553-489f-b65a-1a10c8b260fe
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was :
[ "A)2500", "B)2700", "C)2900", "D)3100", "E)3500" ]
B)2700
aqua_rat
beed1e56-dd80-481c-8b48-0d184b1b7058
If the compound interest on a certain sum of money for 4 years at 10% per annum be Rs. 993, what would be the simple interest?
[ "A)Rs. 880", "B)Rs. 890", "C)Rs. 1200", "D)Rs. 900", "E)None" ]
C)Rs. 1200
aqua_rat
d1b91054-8713-499e-9636-ea8ec512c178
ASvennumber is defined as a five-digit number which goes according to the following rules: the leftmost digit is even, any digit to the right of an even digit must be an odd digit, and any digit to the right of an odd digit can only be one of the digits 1 or 6. How many different 5-digit numbers areSvennumbers?
[ "A)20", "B)80", "C)160", "D)220", "E)250" ]
B)80
aqua_rat
084423de-3bc7-4268-ae24-2f96ff4bde37
How many words can be formed from the letters of the word "AFTER", so that the vowels never comes together
[ "A)48", "B)52", "C)72", "D)120", "E)None of these" ]
C)72
aqua_rat
e98d1753-5803-4638-9e25-45d579ea4706
Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
[ "A)9:37", "B)9:31", "C)9:33", "D)9:78", "E)9:32" ]
B)9:31
aqua_rat
7e23e262-9309-4ba8-b9b6-77dab8f50d0c
The speed of a train that is 250 meter in length passing from a railway platform is 150 km/hour. The length of platform is 500 meter. What is the time taken by the train to cross the platform?
[ "A)1 minute", "B)2 minute", "C)3 minute", "D)4 minute", "E)5 minute" ]
C)3 minute
aqua_rat