id
string
question
string
choices
list
answer_key
string
source
string
0d60e776-3a36-4bc1-8464-ebf0ba111c0d
Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
[ "A)348", "B)277", "C)960", "D)872", "E)121" ]
C)960
aqua_rat
dedc715a-1300-43a6-adaa-fbb74bc8995f
An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
[ "A)33 1/8%", "B)33 9/3%", "C)33 1/3%", "D)93 1/3%", "E)33 2/3%" ]
C)33 1/3%
aqua_rat
70e663fd-a44c-4ed1-8a7c-51deb29a24d0
|x+3| – |4-x| = |9+x| How many solutions will this equation have?
[ "A)0", "B)1", "C)2", "D)3", "E)4" ]
B)1
aqua_rat
21e254f9-523f-4a3a-847c-cce8d4611206
A car is being driven, in a straight line and at a uniform speed, towards the base of a vertical tower. The top of the tower is observed from the car and, in the process, it takes 10 minutes for the angle of elevation to change from 45Β° to 60Β°. After how much more time will this car reach the base of the tower?
[ "A)5(√3 + 1)", "B)6(√3 + √2)", "C)7(√3 – 1)", "D)8(√3 – 2)", "E)None of these" ]
A)5(√3 + 1)
aqua_rat
2208c79c-6155-46e5-90f9-614873692795
The original price of an item is discounted 22%. A customer buys the item at this discounted price using a $20-off coupon. There is no tax on the item, and this was the only item the customer bought. If the customer paid $1.90 more than half the original price of the item, what was the original price of the item?
[ "A)$61", "B)$65", "C)$67.40", "D)$70", "E)$78.20" ]
E)$78.20
aqua_rat
fbc0c060-cb03-4008-8f25-2fc8d7963b20
Find out which of the following values is the multiple of X, if it is divisible by 9 and 12?
[ "A)36", "B)15", "C)17", "D)5", "E)7" ]
A)36
aqua_rat
5b11f1c7-c5e1-4dd7-9e88-d03200d863ef
If the probability that Stock A will increase in value during the next month is 0.56, and the probability that Stock B will increase in value during the next month is 0.74. What is the greatest value for the probability that neither of these two events will occur?
[ "A)0.22", "B)0.26", "C)0.37", "D)0.46", "E)0.63" ]
B)0.26
aqua_rat
edd10897-8db8-4c40-8f94-46a33b2f1143
A trader sold an article at a profit of 20% for Rs.360. What is the cost price of the article?
[ "A)270", "B)300", "C)280", "D)320", "E)315" ]
B)300
aqua_rat
67e2f507-cfe9-4e40-b00e-c1a29676bf15
20 marbles were pulled out of a bag of only white marbles, painted black, and then put back in. Then, another 20 marbles were pulled out, of which 1 was black, after which they were all returned to the bag. If the percentage of black marbles pulled out the second time represents their percentage in the bag, how many marbles in total Q does the bag currently hold?
[ "A)40", "B)200", "C)380", "D)400", "E)3200" ]
D)400
aqua_rat
3c4b0881-cc5b-4429-be9e-83254144a75f
Find the total no. of distinct bike no.'s that can beformed using 2 letters followed by 2 no.'s. How many letters need to be distinct?
[ "A)74453", "B)64543", "C)74325", "D)65000", "E)97656" ]
D)65000
aqua_rat
622c6295-319a-4a67-9c38-8b0900efb10d
A train running at a speed of 100 miles/hour, takes 10 hours to reach its destination. After covering quarter of the distance, it starts raining and the train has to be slowed to speed of 75 miles/hour. What is the total journey duration?
[ "A)10", "B)11.5", "C)12.5", "D)13.5", "E)15" ]
C)12.5
aqua_rat
d9793a1a-f925-4f32-a6db-a0d02b5b6ee5
Of the 200 students in a school, at least 45% attended the prom night and at least 35% took part in the debating session. What is the maximum number of students who could have neither attended the prom night nor the debating session?
[ "A)27", "B)81", "C)90", "D)99", "E)110" ]
E)110
aqua_rat
1cd5e49c-2263-43f0-9434-9484045b071b
A sales person gets a 10% commission on each sale he makes. How many sales of $250 each must he make in order to reach a salary of at least $1000?
[ "A)15", "B)24", "C)25", "D)40", "E)52" ]
D)40
aqua_rat
a9bb8926-eb14-489f-9b33-a5db2b100cc9
A company produces 420 units of a particular computer component every month, at a production cost to the company of $110 per component, and sells all of the components by the end of each month. What is the minimum selling price per component that will guarantee that the yearly profit (revenue from sales minus production costs) will be at least $626,400 ?
[ "A)226", "B)230", "C)240", "D)260", "E)280" ]
B)230
aqua_rat
51e3c321-6051-4cad-b9ab-8e87c5c9fc65
At a certain factory, 10 percent of the staplers produced on Monday were defective and 2 percent of the non-defective staplers were rejected by mistake. If 72 of the non-defective staplers were rejected, what was the number of staplers produced that day?
[ "A)4,000", "B)4,200", "C)4,500", "D)4,800", "E)5,000" ]
A)4,000
aqua_rat
9010d151-7fdd-485d-806b-df80dd98d4d3
Machine A puts out a yo-yo every 6 minutes. Machine B puts out a yo-yo every 9 minutes. After how many minutes will they have produced 10 yo-yos?
[ "A)24 minutes", "B)32 minutes", "C)36 minutes", "D)64 minutes", "E)72 minutes" ]
C)36 minutes
aqua_rat
88d0779d-399c-4b3d-9b9c-e6c6e1badd65
Add: +45 and -30
[ "A)-30", "B)+30", "C)0", "D)15", "E)-15" ]
D)15
aqua_rat
3f8fed4d-cdec-42ac-9d73-a46c76418b76
In how many ways can the letters of the word "PROBLEC" be rearranged to make 7 letter words such that none of the letters repeat?
[ "A)2!", "B)3!", "C)7!", "D)8!", "E)9!" ]
C)7!
aqua_rat
0f01dacf-e005-40e9-8857-b5e2ba6a75af
Let A and B be independent events with P (A) = 0.2 and P(B) = 0.8. Find P(A/B)?
[ "A)0.2", "B)0.4", "C)0.6", "D)1.2", "E)1.5" ]
A)0.2
aqua_rat
5d209cde-1eb0-4d4d-95c5-7e5889b7d69e
Consider there is an staircase elevator and you are coming down. If you walk 20 steps and stop, then you reach bottom in 10 minutes. If you walk 10 steps and stop, you reach to the ground in 20 minutes. What is the speed of the elevator?
[ "A)1 step/minute", "B)2 step/minute", "C)3 step/minute", "D)4 step/minute", "E)None of the above" ]
A)1 step/minute
aqua_rat
88968470-1f5f-4849-8b0b-f849a1823149
Last year, a Home Appliance Store sold an average(arithmetic mean) of 42 microwave ovens per month. In the first 10 months of this year,the store has sold an average(arithmetic mean) of only 20 microwave ovens per month. What was the average number of microwave ovens sold per month during the entire 22 months period ?
[ "A)21", "B)30", "C)31", "D)32", "E)None of the above" ]
D)32
aqua_rat
93cc1076-a431-4b38-bb1a-7ffc3c0b5014
An exam is given in a certain class. The average (arithmetic mean) of the highest score and the lowest score is equal to x. If the average score for the entire class is equal to y and there are z students in the class, where z > 5, then in terms of x, y, and z, what is the average score for the class excluding the highest and lowest scorers?
[ "A)(zy – 2x)/z", "B)(zy – 2)/z", "C)(zx – y)/(z – 2)", "D)(zy – 2x)/(z -2)", "E)(zy – x)/(z + 2)" ]
D)(zy – 2x)/(z -2)
aqua_rat
2a950f16-586e-4be6-835f-7f5b53a91a83
[5 + ? Γ— 19 - 15 - 7]/[13 Γ— 13 - 156] = 6
[ "A)4", "B)4.5", "C)5", "D)5.5", "E)6.5" ]
C)5
aqua_rat
b8d7d77b-1144-49f4-8dda-a8f3d89b1d7d
A grocer makes a 25% profit on the selling price for each bag of flour it sells. If he sells each bag for $100 and makes $3,000 in profit, how many bags did he sell?
[ "A)12", "B)16", "C)24", "D)30", "E)40" ]
C)24
aqua_rat
8287698e-8246-4469-8f20-d9c544d47ea6
Alex and Jacob works at a toy shop that make toys. Alex takes 7 hours to make a toy, and Jacob takes 9 hours to make a toy. During a month, both of them makes 35 toys in total. If both of them have worked for almost similar number of hours how many toys have been prepared by Jacob?
[ "A)15", "B)16", "C)17", "D)18", "E)19" ]
A)15
aqua_rat
40787b19-dc01-45f3-8ee5-6f4a8eadf9d0
John likes to have lightly flavored tea every evening. In a 50% strong milk tea, he replaces 15% of it with milk twice. Then, he replaces 10 percent of the resultant solution with more milk. What is the final concentration of tea John drinks?
[ "A)15.38%", "B)42%", "C)39.86%", "D)22.35%", "E)32.51%" ]
E)32.51%
aqua_rat
cc70bb03-b33a-4bfc-a049-e2f686acf3f5
In a class 1/16 of the students study math, 1/10 of the students study bio, 1/8 of the students study english. The total number of students is a 4 digit number. Find the diffrence between maximum number of students and minimum number of students.
[ "A)8880", "B)8870", "C)8890", "D)7890", "E)6780" ]
A)8880
aqua_rat
7b585b64-504f-467c-9f5d-71be1b94440d
On a normal day Bill usually averages about 15 mph when riding his bicycle. On a windy day, his speed is reduced by 4 mph. How far can Bill travel on a windy day in 21 minutes? Round to the nearest hundredth.
[ "A)2 miles", "B)2.25 miles", "C)3.25 miles", "D)3.85 miles", "E)2.85 miles" ]
D)3.85 miles
aqua_rat
38d04cf3-faee-4550-b10a-976051baf871
A retailer sold an appliance for 40 percent above cost, which represented a gross profit of $20.00. For what price did the retailer sell the appliance?
[ "A)$27.30", "B)$51.00", "C)$63.00", "D)$70.00", "E)$91.00" ]
D)$70.00
aqua_rat
67fd855c-dcee-4dca-9a20-a9c3cb2f304c
At 6% per annum simple interest, Rahul borrowed Rs. 500. What amount will he pay to clear the debt after 4 years
[ "A)750", "B)700", "C)620", "D)600", "E)None of these" ]
C)620
aqua_rat
720a5499-bc69-4dfe-b331-20af358003ef
A computer routine was developed to generate two numbers (x,y) the first being a random number between 0 and 100 inclusive, and the second being less than or equal to the square root of the first. Each of the following pair satisfies the routine except
[ "A)(99,10)", "B)(85,9)", "C)(50,7)", "D)(1,1)", "E)(1,0)" ]
A)(99,10)
aqua_rat
39570a5a-c201-418b-8459-0a64d618d685
A jeep travels a certain distance taking 6 hours in the forward journey. During the return journey, it increased its speed by 12km/hr and took 4 hours. What is the distance travelled by the jeep?
[ "A)126km", "B)144km", "C)127km", "D)228km", "E)128km" ]
B)144km
aqua_rat
57bd6b69-cd9a-4fa5-a3b1-2431c6286e72
When I was 2 years old, my brother was half my age. Now I am 60 years old, how old is my brother?
[ "A)A)59", "B)B)69", "C)C)79", "D)D)89", "E)E)99" ]
A)A)59
aqua_rat
bfbe2df8-9b66-4bad-acd0-fe9588703cf0
The original retail price of an appliance was 60 percent more than its wholesale cost. If the appliance was actually sold for 20 percent less than the original retail price, then it was sold for what percent more than its wholesale cost?
[ "A)20%", "B)28%", "C)36%", "D)40%", "E)42%" ]
B)28%
aqua_rat
9eb81758-4b86-4e1d-bd04-9fcdca650059
On a map, the length of the road from Town F to Town G is measured to be 20 inches. On this map, 1/4 inch represents an actual distance of 10 miles. What is the actual distance, in miles, from Town F to Town G along this road?
[ "A)800", "B)720", "C)960", "D)1140", "E)1160" ]
A)800
aqua_rat
cc1eb07d-f846-46fe-b9b7-6b8f19748573
When folded into two equal halves a rectangular sheet had a perimeter of 48cm for each part folded along one set of sides and the same is 66cm when folded along the other set of sides. Find the area of the sheet.
[ "A)1584", "B)1120", "C)792", "D)1320", "E)1200" ]
B)1120
aqua_rat
75765262-ad68-4d26-a395-bc265b435a9c
Suppose you can travel from a place M to a place N by 3 buses, from place N to place O by 4 buses, from place O to place P by 1 buses and from place P to place Q by 3 buses. In how many ways can you travel from M to Q ?
[ "A)24", "B)36", "C)72", "D)84", "E)None" ]
B)36
aqua_rat
113650ab-0a72-4b7e-9287-98c7b749cfc5
A rectangular solid, 3 x 4 x 15, is inscribed in a sphere, so that all eight of its vertices are on the sphere. What is the diameter of the sphere?
[ "A) 13.3542", "B) 15.8113", "C) 18.3451", "D) 19.5667", "E) 20.8888" ]
B) 15.8113
aqua_rat
9085cb24-ad1f-4967-a96c-5d5dda26e922
A starts travel towards south 3km, then travel 5 km towards east, and again travels 3 km to north, and finally travels 2km towards west. In the end how far from is A from home?
[ "A)3km", "B)2km", "C)4km", "D)5km", "E)6km" ]
A)3km
aqua_rat
04ceb0b2-9183-451e-8e59-469a51078ba5
While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 7%, he earns Rs. 15 less as profit. The marked price of the watch is:
[ "A)Rs. 697.50", "B)Rs. 712.50", "C)Rs. 787.50", "D)Rs. 750", "E)Rs. 780" ]
D)Rs. 750
aqua_rat
c8b846a0-4e2d-4942-835e-88a1fd52f181
A student instead of finding the value of 7/8 of a number, found the value of 7/18 of the number. If his answer differed from the actual one by 770, find the that number.
[ "A)1584", "B)2520", "C)1728", "D)1656", "E)None" ]
A)1584
aqua_rat
798d78b2-155b-44f1-8432-01c4d90b23fb
The monthly salary S of a shop assistant is the sum of a fixed salary of $500 plus 5% of all monthly sales. What should the monthly sales be so that her monthly salary reaches $1500?
[ "A)$50000", "B)$40000", "C)$30000", "D)$20000", "E)None of these" ]
D)$20000
aqua_rat
97065717-f2cb-4fa5-b442-387ec0b8fbdd
An aeroplane flies along the four sides of a square at the speeds of 200, 400, 600 and 800km/hr. Find the average speed of the plane around the field?
[ "A)384", "B)562", "C)458", "D)156", "E)452" ]
A)384
aqua_rat
2ed5cf85-3de5-4a6f-ae41-bf732db5cff8
Jack buys 18 sharpeners (white and brown) for rs. 100. If he pays 1 rupee more for each white than brown sharpeners. How many of white and how many brown sharpeners did he buy?
[ "A)10,8", "B)9,8", "C)7,8", "D)5,6", "E)11,12" ]
A)10,8
aqua_rat
6ff07228-2755-4eb1-b3dc-3a0995bdae71
Hoses A and B spout water at different constant rates, and hose A can fill a certain pool in 8 hours. Hose A filled the pool alone for the first 2 hours and the two hoses, working together, then finished filling the pool in another 3 hours. How many hours would it have taken hose B, working alone, to fill the entire pool?
[ "A)8", "B)15", "C)12", "D)6", "E)3" ]
A)8
aqua_rat
c0caf7f8-097d-4d93-b44d-39fe6f079b15
If 120 is reduced to 96, what is the reduction percent?
[ "A)30%", "B)40%", "C)20%", "D)10%", "E)5%" ]
C)20%
aqua_rat
90d821be-971f-4b9b-8cc7-80533882e9c6
I know a 5 digit number having a property that with a 1 after it, it is three times as large as it would be with a 1 before it. What is that number?
[ "A)42857", "B)32456", "C)76523", "D)24567", "E)43566" ]
A)42857
aqua_rat
725aa40f-0f4e-4ec8-87ae-9f26be1a5899
At Daifu university, 24% of all students are members of both a chess club and a swim team. If 20% of members of the swim team are not members of the chess club, what percentage of all Daifu students are members of the swim team?
[ "A)20%", "B)30%", "C)40%", "D)50%", "E)60%" ]
B)30%
aqua_rat
0e79c5da-48a8-4a0e-9eac-4df14d2ea95f
If the population of a city increases by 5 % annually, what will be the population of the city in 2 years time if its current population is 78000?
[ "A)81900", "B)85995", "C)85800", "D)90000", "E)None of these" ]
B)85995
aqua_rat
61f04413-226b-49ab-93f5-a980e840bdc9
Two cars start at the same time from opposite ends of a highway that is 50 miles long. One car is riding at 12 mph and the second car is riding at 13 mph. How long after they begin will they meet?
[ "A) 1", "B) 1.25", "C) 1.50", "D) 1.75", "E) 2" ]
E) 2
aqua_rat
745f2741-d3c2-41da-b271-a45102b7b36b
A shopkeeper employed a servant at a monthly salary of 1500. In addition to it, he agreed to pay him a commission of 15% on the monthly sale. How much sale in Rupees should the servant do if he wants his monthly income as 6000?
[ "A)30000", "B)415000", "C)31500", "D)50000", "E)None of these" ]
A)30000
aqua_rat
cc7f5021-6fef-4ee8-b7be-14d721b1636c
A man borrows Rs.360 If he pays it back in 12 monthly installments of Rs.31.50, what is his interest rate?
[ "A)1.5%", "B)4.5%", "C)10%", "D)5%", "E)12%" ]
D)5%
aqua_rat
2676bfe5-9273-49e0-b4fa-eb7544b76bcb
The price of a product is reduced by 30% . By what percentage should it be increased to make it 100%
[ "A)41.86%", "B)42.86%", "C)43.86%", "D)44.86%", "E)45.86%" ]
B)42.86%
aqua_rat
6b9acab8-eff4-4125-848c-a0ceddde4a9b
I have a money pouch containing Rs. 700. There are equal number of 25 paise coins, 50 paise coins and one rupee coins. How many of each are there?
[ "A)453", "B)651", "C)400", "D)487", "E)286" ]
C)400
aqua_rat
e43f3f2a-0962-435f-985b-e5f9207f1603
A man spends Rs. 3500 per month and saves 12 1/2% of his income. His monthly income is ?
[ "A)Rs. 4400", "B)Rs. 4270", "C)Rs. 4000", "D)Rs. 3937.50", "E)None of these" ]
C)Rs. 4000
aqua_rat
d4a132a5-37c2-4b91-966d-bcc8c2e819f6
Five dozen toys are packed in a box and 98 boxes are kept in a tempo. How many tempos can lift 29400 toys in one round ?
[ "A)4", "B)5", "C)7", "D)6", "E)8" ]
B)5
aqua_rat
a82e9843-5b6a-4701-8c74-689e62212799
There are 10 oranges in a basket. Find the no. of ways in which 2 oranges are chosen from the basket?
[ "A)45", "B)90", "C)120", "D)150", "E)180" ]
A)45
aqua_rat
ac02e7ac-677c-473f-916b-28cad456ebe8
A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract?
[ "A)7", "B)8", "C)10", "D)11", "E)12" ]
D)11
aqua_rat
7760718f-4224-4f20-a6ae-26326b2ba5eb
Train A leaves a station every 16 minutes and Train B leaves every 17 minutes. If both trains just left the station simultaneously, how long until they do so again?
[ "A)272 minutes", "B)304 minutes", "C)190 minutes", "D)70 minutes", "E)35 minutes" ]
A)272 minutes
aqua_rat
06f3248d-e918-442e-b1cd-f8a43771c5d3
A hollow cube of size 5cm is taken, with the thickness of 1cm. It is made of smaller cubes of size 1cm .If the outer surface of the cube is painted how many faces of the smaller cubes remain unpainted?
[ "A)438", "B)550", "C)500", "D)450", "E)498" ]
A)438
aqua_rat
6c5fb7a0-7ef6-4f19-9c11-28f49f274b8c
In a chocolate store, all chocolates are either vanilla or cocoa flavored only. 10% of the chocolates are cocoa flavored, 90% of the rest are squashed. What percentage of the chocolates are both vanilla flavored and not squashed?
[ "A)1%", "B)2%", "C)5%", "D)9%", "E)10%" ]
D)9%
aqua_rat
11f32a57-4d1f-4366-814c-dbcd1b11f5cd
There is well of depth 30m and frog is at bottom of the well. He jumps 3m up one day and falls back 2m down the same day. How many days will it take for the frog to come out of the well?
[ "A)25 days", "B)26 days", "C)27 days", "D)28 days", "E)29 days" ]
D)28 days
aqua_rat
99ea2b27-43b9-4000-8036-eb6bb05b46c1
The sum of the 5 consecutive two digit odd numbers when divided by 10 becomes a perfect square, which of the following can be one of these 5 numbers?
[ "A)47", "B)91", "C)41", "D)67", "E)44" ]
C)41
aqua_rat
79c7457c-5384-48aa-9e24-2cb49a3a0c80
In a class, 8% of total students are interested in Football. 4/5 of total students are interested in Cricket. 10% of total students are interested in Basketball and remaining 20 students are not interested in any games. How many students are there in the class?
[ "A)850", "B)800", "C)900", "D)950", "E)1000" ]
E)1000
aqua_rat
021c5583-7afc-46fd-9073-69c8d76885ff
Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years. What is definitely the difference between R and Q's age?
[ "A)22", "B)27", "C)29", "D)Cannot be determined", "E)None of the above" ]
D)Cannot be determined
aqua_rat
f57d4eec-856d-4d9f-a75b-b9cf4d04d81e
Calculate the maximum distance you can travel with $8.50 on a cab which charges $3.50 for the first quarter-mile and 10 cents for each additional quarter mile.
[ "A)11.75 miles", "B)12.75 miles", "C)17.75 miles", "D)14.75 miles", "E)10.75 miles" ]
B)12.75 miles
aqua_rat
c2783ec6-168b-42fc-b413-11d0d7c9974a
In IPL season, Sachin current batting average is 51. In the finals, he scores 78 runs, then is batting average will be 54. Find out the total number of matches played by Sachin in this season.
[ "A)6", "B)8", "C)9", "D)10", "E)11" ]
C)9
aqua_rat
49c19344-cfa9-4cde-b9b6-9141ce16fdc8
Amy is organizing her bookshelves and finds that she has 10 different types of books. She then codes each book with either a single letter or a pair of two different letters. If each type of book is uniquely represented by either a single letter or pair of letters, what is the smallest number of letters Amy will need to create the codes for all 10 types of books? (Assume the order of letters in a pair does not matter.)
[ "A)3", "B)4", "C)5", "D)10", "E)20" ]
D)10
aqua_rat
d732f15e-9125-400d-bf86-72a88c4b028c
A rectangular piece of 150 sq m has a length which is 1m more than the 4 times the breadth. What is the perimeter of the piece?
[ "A)60 m", "B)61 m", "C)62 m", "D)63 m", "E)64 m" ]
C)62 m
aqua_rat
f5316d62-a731-4c8e-80e6-e8ac701f0bf4
One gram of a certain health food contains 9 percent of the minimum daily requirement of vitamin E and 8 percent of the minimum daily requirement of vitamin A. If vitamins E and A are to be obtained from no other source, how many grams of the health food must be eaten daily to provide at least the minimum daily requirement of both vitamins?
[ "A)8.5", "B)10.5", "C)12.5", "D)14.5", "E)16.5" ]
C)12.5
aqua_rat
48e0797d-7d80-4514-b36f-7ee17c2c698f
Assistants are needed to prepare for preparation. Each helper can make either 2 large cakes or 35 small cakes/hr. The kitchen is available for 3 hours and 20 large cakes & 700 small cakes are needed. How many helpers are required?
[ "A)8", "B)10", "C)12", "D)15", "E)19" ]
B)10
aqua_rat
f800d801-0343-4138-8d9a-ea380a1fecc5
R, S, T, and U are points on a line, and U is the midpoint of line segment ST. If the lengths of line segments RS, RT, and ST are 5, 17, and 22, respectively. What is the length of line segment RU?
[ "A)6", "B)7", "C)8", "D)9", "E)10" ]
A)6
aqua_rat
32a604ea-e64e-4dcd-aeed-c19877f4f040
Six pita breads contain the same amount of falafel as do two rolls. Three rolls contain the same amount of falafel as five baguettes do. Two baguettes contain the same amount of falafel as how many pita breads?
[ "A)12/25", "B)3/2", "C)3", "D)2", "E)25/3" ]
C)3
aqua_rat
cd832717-c9dc-493d-b554-9d7b8cfc838b
A shopkeeper in order to promote his new shop put a discount of 20% on all the items for one day. Now he must sell the items at original price the other day. By what percentage must he increase the price to original?
[ "A)21%", "B)20%", "C)25%", "D)33%", "E)18%" ]
C)25%
aqua_rat
73905cf9-3f4e-41b7-9533-900c19e0b6b7
The bus fare for two persons for travelling between Agra and Aligarh id four-thirds the train fare between the same places for one person. The total fare paid by 6 persons travelling by bus and 8 persons travelling by train between the two places is Rs.1512. Find the train fare between the two places for one person?
[ "A)126", "B)77", "C)88", "D)66", "E)54" ]
A)126
aqua_rat
ac954c21-3682-4a4f-b761-1313f0fc1ffa
A rectangle has a length of 8 centimeters and a width of 3 centimeters. Find the perimeter.
[ "A)18cm", "B)22cm", "C)20cm", "D)30cm", "E)28cm" ]
B)22cm
aqua_rat
bc13a657-f142-48f0-9844-eb73e9be094a
Suppose you want to arrange your English, Hindi, Mathematics, History, Geography and Science books on a shelf. In how many ways can you do it ?
[ "A)520", "B)720", "C)920", "D)None", "E)Cannot be determined" ]
B)720
aqua_rat
b001c4a8-d546-474c-9652-7bd6cc285abe
A straight picket fence is composed of x pickets each of which is 1/2 inch wide. If there are 6 inches of space between each pair of pickets, which of the following represents the length of fence in feet?
[ "A)13x/2", "B)13x/2 - 6", "C)13x/24", "D)(13x+1)/24", "E)(13x-12)/24" ]
E)(13x-12)/24
aqua_rat
b3c83229-e5cf-47fd-93af-86f9b3cd7cdf
A ship went on a voyage. After it had traveled 180 miles a plane started with 10 times the speed of the ship. Find the distance when they meet from starting point.
[ "A)238", "B)289", "C)200", "D)287", "E)187" ]
C)200
aqua_rat
0f7d89ee-3a23-441c-9858-2b2bdaf4aa11
In a large forest, 300 deer were caught, tagged, and returned during 2001. During 2002, 500 deer were caught at random, of which only 20 had tags from the previous year. If the percent of deer in the forest that had tags during the second year and were caught in the 500 deer sample is representative of the percent of the total deer population in the forest with tags, what is the total deer population in the forest (assuming no change in population between 2001 and 2002)?
[ "A)300", "B)500", "C)5000", "D)6000", "E)7500" ]
E)7500
aqua_rat
9972f03a-526d-4842-97c9-cd1b323306ef
In a railway station, there are two trains going. One in the harbor line and one in the main line, each having a frequency of 10 minutes. The main line service starts at 5 o'clock and the harbor line starts at 5.02 A.M. A man goes to the station every day to catch the first train that comes. What is the probability of the man catching the first train?
[ "A)0.9", "B)0.8", "C)0.6", "D)0.65", "E)1.5" ]
B)0.8
aqua_rat
6df244bf-4eac-47bf-bc46-d953d638746c
The average (arithmetic mean) of the weight of 10 vehicles is 12.2 tons. The average weight of the group of vehicles increased by 2.6 tons after a new heavy duty truck was added to the group? What is the weight in tons of the heavy duty truck?
[ "A)40.8", "B)41.6", "C)42.2", "D)43.5", "E)44.8" ]
A)40.8
aqua_rat
34976a00-5f18-4270-ac45-c26bc521f42d
Boomtown urban planners expect the city’s population to increase by 10% per year over the next two years. If that projection were to come true, the population two years from now would be exactly double the population of one year ago. Which of the following is closest to the percent population increase in Boomtown over the last year?
[ "A)20%", "B)40%", "C)50%", "D)65%", "E)75%" ]
D)65%
aqua_rat
5185e582-6ed0-4776-9a8e-1b97dc564796
Arjun and Sajal are friends, each has some money. If Arun gives $30 to Sajal, the Sajal will have twice the money left with Arjun. But, if Sajal gives $10 to Arjun, Arjun will have thrice as much as is left with Sajal. How much money does each have?
[ "A)62, 35", "B)62, 34", "C)34, 62", "D)42, 62", "E)62, 42" ]
B)62, 34
aqua_rat
f5502d70-a571-44ea-b544-68783e7e4272
Julie’s yard is rectangular. One side of the yard is 100 feet wide. The total area of the yard is 3,000 square feet. What is the length of the other side of the yard?
[ "A)30 feet", "B)20 feet", "C)10 feet", "D)50 feet", "E)60 feet" ]
A)30 feet
aqua_rat
6999c895-a8c4-48d9-ab23-333232bbcec9
The greatest common factor of two positive integers is 11. The least common multiple of these two integers is 7700. If one of the integers is 350, what is the other?
[ "A)242", "B)308", "C)352", "D)412", "E)456" ]
A)242
aqua_rat
9e67c221-31ba-41e7-bc89-81f27276b705
A square piece of cloth is trimmed by 4 feet on one edge to form a rectangular piece, which is then cut diagonally in half to create two triangles. If the area of each of triangle is 70 square feet, what was the perimeter (in feet) of the original piece of square cloth?
[ "A)56", "B)58", "C)60", "D)62", "E)64" ]
A)56
aqua_rat
d4ed981e-e94d-4b78-a8cc-09964e98e0d4
The length of the ribbon was originally 30 cm. It was reduced in the ratio 5 : 3. What is its length now?
[ "A)18", "B)30", "C)6", "D)15", "E)12" ]
A)18
aqua_rat
6cce1e13-8a73-4151-bf17-d916c0db150d
M = abc is a three digit number and N = cba, if M > N and M - N + 396c = 990. Then how many values of M are more than 300.
[ "A)20", "B)30", "C)40", "D)200", "E)None" ]
A)20
aqua_rat
e8fdafc9-b710-4b85-84e7-febeb195c012
there are more than 501 students in a school such that 20% of them exactly took physics and 28% of them exactly took math. What could be the least possible no of students in the school?
[ "A)550", "B)570", "C)600", "D)700", "E)none of these" ]
E)none of these
aqua_rat
aa36329b-1dd9-4855-b675-3cd891125a85
If Raj was one-third as old as Rahim 5 years back and Raj is 17 years old now, How old is Rahim now?
[ "A)37", "B)41", "C)40", "D)42", "E)43" ]
B)41
aqua_rat
7160c994-07dd-452b-9879-dcef8cefe5ca
A cow is tethered in the middle of a field with a 14 feet long rope. If the cow grazes 10 sq.ft. per day, then approximately what time will be taken by the cow to graze the whole field?
[ "A)51 days", "B)61 days", "C)71 days", "D)81 days", "E)91 days" ]
B)61 days
aqua_rat
e62234ca-5e09-445e-909e-f9d68c1bd4a8
A book was sold for Rs 27.50 with a profit of 10%. If it were sold for Rs. 25.75, then would have been percentage of profit and loss ?
[ "A)2% Profit", "B)3% Profit", "C)2% Loss", "D)3% Loss", "E)4% Loss" ]
B)3% Profit
aqua_rat
1d711341-63a0-4ba4-bb25-40d6a60de94c
In how many ways can a teacher in a kindergarten school arrange a group of 3 children (Susan, Tim and Zen) on 3 identical chairs in a straight line so that Susan is on the left of Tim?
[ "A)7", "B)3", "C)2", "D)1", "E)6" ]
B)3
aqua_rat
6ffa7cc0-5bb8-4b9b-9886-8e56c326ec87
The telephone bill of a certain establishment is party fixed and partly varies as the number of calls consumed. When in a certain month 540 calls made the bill is Rs.1800. In another month 620 calls are consumed then the bill becomes Rs.2040. In another month 500 units are consumed due to more holidays. The bill for that month would be :
[ "A)Rs.1560", "B)Rs.1680", "C)Rs.1840", "D)Rs.1950", "E)Rs.1690" ]
B)Rs.1680
aqua_rat
5c3ac545-5e7c-45ff-87c3-4307059e4673
Two balls A and B rotate along a circular track. Ball A makes 2 full rotations in 26 minutes. Ball B makes 5 full rotation in 35 minutes. If they start rotating now from the same point, when will they be at the same starting point again?
[ "A)1 hour and 31 minutes", "B)2 hour and 31 minutes", "C)3 hour and 31 minutes", "D)4 hour and 31 minutes", "E)5 hour and 31 minutes" ]
A)1 hour and 31 minutes
aqua_rat
dd28c159-4d2f-4872-a1d5-b525046c3699
A bookshelf contains 45 books, 30 of which are hardcover and 20 of which are fiction. What is the maximum number of books that are both hardcover and fiction?
[ "A)10", "B)15", "C)18", "D)20", "E)30" ]
D)20
aqua_rat
224fe7e6-e9cd-419a-ab39-70720080bb84
A newspaper costs $4 on Sunday and $1 the rest of the days of the week. If a hotel orders twice as many papers on Sunday as it does the rest of the days of the week and pays $210 per week for newspapers, how many newspapers does it buy on Monday?
[ "A)15", "B)30", "C)45", "D)60", "E)75" ]
A)15
aqua_rat
a5950b83-5786-4c9e-8171-fe172aa6ba7d
A number of friends decided to go on a picnic and planned to spend Rs. 96 on eatables. Four of them, however, did not turn up. As a consequence, the remaining ones had to contribute Rs. 4 extra, each. The number of those who attended the picnic was
[ "A)8", "B)12", "C)16", "D)24", "E)25" ]
A)8
aqua_rat
df7d5081-b45f-489e-b765-3428b9490ccc
A wire in the shape of rectangle of length 27 cm and breadth 17 cm is rebent to form a square. What will be the measure of each side?
[ "A)9", "B)11", "C)22", "D)25", "E)31" ]
C)22
aqua_rat