id
string
question
string
choices
list
answer_key
string
source
string
b327da8f-12de-4245-84b0-4ccf54e35b1f
The weight of four dogs is determined to be 25 pounds, 31 pounds, 32 pounds and 28 pounds respectively. The weight of a fifth dog is determined to be y pounds. If the average (arithmetic mean) weight of the first four dogs is the same as that of all five dogs what is the value of y?
[ "A)31", "B)29", "C)35", "D)37", "E)39" ]
B)29
aqua_rat
633f7b36-4ca7-44a7-88eb-88d6bb04b709
List I: 3, 6, 14, 19 List II: x, 3, 14, 8, 19
[ "A) 6", "B) 7", "C) 8", "D) 9", "E) 10" ]
E) 10
aqua_rat
5aa8aeeb-c69f-4de8-b727-4ad29d874157
If by selling an article for Rs.60, a person loses 1/7 of money, what would he have gained or lost % by selling it for Rs.77?
[ "A)5%", "B)10%", "C)13%", "D)14%", "E)20%" ]
B)10%
aqua_rat
7856dae6-7dba-4f98-8f37-2ead2ea97794
In a certain math department, students are required to enroll in either Calculus or Trigonometry, each of which is offered in beginner and advanced courses. The number of students enrolled in Trigonometry is 50% greater than the number of students enrolled in Calculus, and 70% of Calculus students are enrolled in the b...
[ "A)8%", "B)16%", "C)20%", "D)24%", "E)40%" ]
A)8%
aqua_rat
6d454a4a-eb00-4fa5-998d-3a72c07c765d
The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
[ "A)Rs.1014", "B)Rs.1140", "C)Rs.999", "D)Rs.1085", "E)Rs.1185" ]
C)Rs.999
aqua_rat
28b22e2f-f967-4663-b153-9fd155db824a
When a merchant imported a certain item, he paid a 7 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $94.50, what was the total value of the item?
[ "A)$2,350", "B)$2,850", "C)$3,250", "D)$3,400", "E)$3,750" ]
A)$2,350
aqua_rat
36f6ccaf-7dec-4c33-86fd-f54f4e114d9c
A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container.
[ "A)26.34 litres", "B)27.36 liters", "C)28 litres", "D)29.16 litres", "E)cannot be determined" ]
D)29.16 litres
aqua_rat
fef5143a-4bc3-4486-92db-3bea199fd489
If the average of 744, 745, 747, 748, 749, 752, 752, 753, 755 and x is 750, what is the value of x?
[ "A)750", "B)752", "C)754", "D)755", "E)756" ]
D)755
aqua_rat
d1a55e5d-a099-470b-b15b-9a7ff2059ed7
Two bullet trains of equal lengths take 10 seconds and 30 seconds respectively to cross a telegraph post. If the length of each bullet train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
[ "A)13 sec.", "B)14 sec.", "C)12 sec.", "D)15 sec.", "E)19 sec." ]
D)15 sec.
aqua_rat
b45569ec-8161-43c2-bee3-3255333bf404
What will be the length of the mini-train, if it crosses a pole in 3 sec while travelling at a speed of 75 kmph?
[ "A)60 m", "B)65 m", "C)63.5 m", "D)64 m", "E)62.5 m" ]
E)62.5 m
aqua_rat
4074ded8-82db-4026-adc3-29fb6686f1b8
30 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :
[ "A)33", "B)34", "C)26", "D)10", "E)19" ]
D)10
aqua_rat
8c288a95-0730-4279-81e6-2da574f49e0e
Find the least number which when divided by 20,25,35,40 leaves remainder 14,19,29,34 respectively.
[ "A)1394", "B)1450", "C)1245", "D)2564", "E)1256" ]
A)1394
aqua_rat
5fcbbe70-de5f-4af4-a59b-e28b2bfd4022
Two trains are running in opposite directions with the same speed. If the length of each train is 180 m and they cross each other in 12 sec, then the speed of each train is?
[ "A)54", "B)31", "C)36", "D)25", "E)24" ]
A)54
aqua_rat
4246c4cf-b4e3-44c2-94f8-6125cdedbb38
In a party, there are rows arranged with 12,20 and 30 chairs and there were 3 left in all the cases. When there were 11 rows. There were no chair left. If 30 chairs were added. Then what will be the reminder?
[ "A)8", "B)9", "C)10", "D)11", "E)12" ]
A)8
aqua_rat
19a339d3-78c0-4be6-ad9f-17ea10ca79e3
David leaves home everyday at 4 p.m to pick his son from school and returns home at 6 p.m. One day, the school was over at 4 p.m and the son started walking home from school. David, unaware of this, starts from home as usual and meets his son on the way and returns home with him 15 minutes early. If the speed of David ...
[ "A)15km/hr", "B)6 km/hr", "C)4.28 km/hr", "D)9 km/hr", "E)4.12 km/hr" ]
C)4.28 km/hr
aqua_rat
06de5a9d-3ce6-4bc0-ae01-42763daa087b
If the time is currently 1:30pm, what time will it be in exactly 479 hours?
[ "A)12:30am", "B)1:30am", "C)12:30pm", "D)2:30pm", "E)10:30pm" ]
C)12:30pm
aqua_rat
fa9be9cd-fb81-4bd8-b503-9b15778ab09d
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
[ "A)120 kmph", "B)150 kmph", "C)50 kmph", "D)80 kmph", "E)75 kmph" ]
A)120 kmph
aqua_rat
c8b6fddb-fb34-44cf-95a9-f031f8614bc6
The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers ?
[ "A)7", "B)8", "C)5", "D)4", "E)2" ]
B)8
aqua_rat
b8244247-2afd-44d6-a51a-6ba54ea3c5eb
Given that 1.75 x 10(power 8), Which of the following options is equal to it?
[ "A)171000000", "B)172000000", "C)176000000", "D)175000000", "E)177000000" ]
D)175000000
aqua_rat
8960618c-aa54-4682-8ec7-43dba8fffa38
The length of a rectangular landscape is 4times its breadth. There is a playground in it whose area is 1200 square mtr & which is 1/3rd of the total landscape. What is the length of the landscape?
[ "A)110", "B)115", "C)120", "D)130", "E)145" ]
C)120
aqua_rat
45356d04-bfc8-4933-8484-e8008ce014a3
Two positive integers differ by 4, and sum of their reciprocals is 2. Then one of the numbers is
[ "A)a) 3", "B)2", "C)c) 5", "D)d) 21", "E)e) 28" ]
B)2
aqua_rat
4484faee-afa4-44f2-a98b-c2e2ee0051a8
A Hotel has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the committee must include the male employee?
[ "A)10", "B)12", "C)15", "D)24", "E)30" ]
A)10
aqua_rat
6a912e85-5741-4193-be0c-de7f7052b82b
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
[ "A)9", "B)9.2", "C)10", "D)11.5", "E)12" ]
D)11.5
aqua_rat
0030d461-ada4-4dc6-844a-783c83d26a4d
If r and s are positive integers and r-s=6, which of the following has the greatest value W?
[ "A)2r", "B)2s", "C)r +s", "D)2r-s", "E)2s-r" ]
A)2r
aqua_rat
72d9eee1-1bd9-4646-834d-8c60dd35dbc2
The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
[ "A)6", "B)7", "C)8", "D)4", "E)2" ]
C)8
aqua_rat
ab65857c-b325-4e99-a9f1-78d2c742aef3
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 80 questions and secures 120 marks, the number of questions he attempts correctly, is:
[ "A)35", "B)46", "C)42", "D)30", "E)40" ]
E)40
aqua_rat
f89e4143-9e8c-41dd-9466-b0dcde4bcdff
In a hostel, there is a meal for 120 men or 200 boys. If 150 boys have taken the meal, how many men will be catered to with remaining meal?
[ "A)20", "B)30", "C)40", "D)50", "E)60" ]
B)30
aqua_rat
b3f7deb1-afe2-4dc5-8e88-e804ecc6ff04
If the average (arithmetic mean) of a and b is 160, and c – a = 200, what is the average of b and c?
[ "A)260", "B)250", "C)150", "D)225", "E)325" ]
A)260
aqua_rat
45e3098c-4f1c-42bf-b61e-ad570ee2dc7b
Find the ratio in which rice at Rs.7.10 a kg be mixed with rice at Rs.5.70 a kg to produce a mixture worth Rs.6.30 a kg?
[ "A)1 : 3", "B)2 : 3", "C)3 : 4", "D)4 : 5", "E)None of these" ]
C)3 : 4
aqua_rat
221308ac-62cb-492e-8b67-12d95852242e
Share Rs.4800 among John, Jose & Binoy in the ration 2 : 4 : 6.Find the amount received by John?
[ "A)900", "B)980", "C)1600", "D)1240", "E)1400" ]
C)1600
aqua_rat
80504c68-05bc-49cc-ba86-c34644285782
A computer can perform c calculations in s seconds. How many minutes will it take the computer to perform m calculations?
[ "A)60ms/c", "B)ms/c", "C)ms/60c", "D)60c/ms", "E)m/60cs" ]
C)ms/60c
aqua_rat
9ee014c4-e948-4f16-aacb-ff046519a601
If βˆ’y β‰₯ x, and βˆ’x < βˆ’9, then which of the following must be true?
[ "A)y = βˆ’9", "B)y > βˆ’9", "C)βˆ’y > 9", "D)y ≀ βˆ’9", "E)y β‰₯ βˆ’9" ]
C)βˆ’y > 9
aqua_rat
5538a698-6085-4436-9de8-25165152e914
When x is divided by y, the quotient is u with remainder r. What is x in terms of r, y, and u?
[ "A)y + r + u", "B)yu + r", "C)x/y+r", "D)y/u+r", "E)ru + y" ]
B)yu + r
aqua_rat
16c0d252-38ef-4dd8-b394-0f45b9785e34
A computer store offers employees a 20% discount off the retail price. If the store purchased a computer from the manufacturer for $1000 dollars and marked up the price 20% to the final retail price, how much would an employee save if he purchased the computer at the employee discount (20% off retail price) as opposed ...
[ "A)$1,000", "B)$960", "C)$240", "D)$200", "E)$150" ]
C)$240
aqua_rat
6be528a9-f9e2-4f34-89d0-194ad50907a6
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
[ "A)28%", "B)20%", "C)80%", "D)70%", "E)30%" ]
B)20%
aqua_rat
f76bd67b-2fc9-425e-b36a-c1bbb658762d
If two times A is equal to three times of B and also equal to four times of C, then A:B:C is
[ "A)2:3:4", "B)3:4:2", "C)4:6:3", "D)6:4:3", "E)None" ]
D)6:4:3
aqua_rat
ed47d9b0-a331-4006-a23e-17779db00810
if p/q=3/4 then3p+5q=?
[ "A)25/4", "B)29/4", "C)20/4", "D)35/4", "E)25/3" ]
B)29/4
aqua_rat
be429a8f-8d7b-4fe5-bc82-8d282130c22d
Harkamal purchased 9kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
[ "A)A)1120", "B)B)1065", "C)C)1070", "D)D)1075", "E)E)1080" ]
A)A)1120
aqua_rat
18b2fd34-48c3-4fa3-b8f5-0b8cad9e839c
A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?
[ "A)3.2 km", "B)3 km", "C)2.4 km", "D)3.6 km", "E)None of these" ]
C)2.4 km
aqua_rat
c04bd0c0-58cf-490d-b549-ce2f9286b5be
A certain list of 100 data has an average (arithmetic mean) of 9 and a standard deviation of d, where d is positive. Which of the following pairs of data, when added to the list, must result in a list of 108 data with standard deviation less than d?
[ "A)-9 and 0", "B)0 and 0", "C)0 and 9", "D)0 and 18", "E)9 and 9" ]
E)9 and 9
aqua_rat
9984495e-f002-49e5-a311-9a8c1f30d124
A miniature roulette wheel is divided into 10 equal sectors, each bearing a distinct integer from 1 to 10, inclusive. Each time the wheel is spun, a ball randomly determines the winning sector by settling in that sector. If the wheel is spun five times, approximately what is the probability that the product of the five...
[ "A)50%", "B)67%", "C)85%", "D)91%", "E)97%" ]
E)97%
aqua_rat
b8003c83-4dca-415f-bad5-8c6e9f328fca
If the given two numbers are respectively 8% and 16% of a third number, then what percentage is the first of the second ?
[ "A)20%", "B)25%", "C)18%", "D)50%", "E)none of these" ]
D)50%
aqua_rat
5c95cf40-19cb-4483-843d-7881080d777c
What should come in place of the question mark (?) in the following equation? 6 5⁄6 Γ— 5 1⁄3 + 17 2⁄3 Γ— 1⁄2 = ?
[ "A)112 1⁄3", "B)663", "C)240", "D)116 2⁄3", "E)None of these" ]
E)None of these
aqua_rat
7a4950c1-db64-4c57-b93f-8e14b7017557
After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
[ "A)226", "B)255", "C)1200", "D)2771", "E)332" ]
C)1200
aqua_rat
cb4c311d-1e58-4c27-97ba-5a3b00531201
A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability E that the team will have exactly 2 women?
[ "A)1/14", "B)1/7", "C)2/7", "D)3/7", "E)1/2" ]
D)3/7
aqua_rat
1fe0ec99-7419-4280-9cba-aab973ba6666
Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
[ "A)110 km/hr", "B)80 km/hr", "C)60 km/hr", "D)50 km/hr", "E)120 km/hr" ]
C)60 km/hr
aqua_rat
6ad7d852-7ac2-4646-8655-7d3152e63af2
An urn contains 10 balls, numbered from 1 to 10. If 2 balls are selected at random with replacement from the urn, what is the probability B that the sum of the 2 numbers on the balls will be even?
[ "A)25%", "B)37.5%", "C)50%", "D)62.5%", "E)75%" ]
C)50%
aqua_rat
ee30ec5e-4a58-41a4-9054-c63c366a4549
If a car went the first third of the distance at 80 kmh, the second third at 24 kmh, and the last third at 30 kmh, what was the average speed of the car for the entire trip?
[ "A)36 kmh", "B)40 kmh", "C)42 kmh", "D)44 kmh", "E)34 kmh" ]
E)34 kmh
aqua_rat
edf8afe1-117a-4087-9f13-6e9b7ab4636f
What is the rate percent when the simple interest on Rs.900 amount to Rs.160 in 4 Years?
[ "A)4.44", "B)5.44", "C)6.44", "D)7.44", "E)8.44" ]
A)4.44
aqua_rat
b4ca924e-0f23-40d5-8edc-76a6d93b0883
When a number is divided by 4 &then multiply by 12 the answer is 9 what is the no.?
[ "A)3", "B)5", "C)5.6", "D)5.7", "E)6.5" ]
A)3
aqua_rat
1c17a583-26f5-4a05-b2cd-b093bcba726b
Last year, the price of a vacation package was P. At the beginning of this year, the price went up 50%. Lucas used a travel voucher to purchase the vacation package at 30% off this year’s price. In terms of P, how much did Lucas pay?
[ "A) P + 10", "B) 1.1*P", "C) 0.50*P", "D) 0.05*P", "E) 1.05*P" ]
E) 1.05*P
aqua_rat
b7614b1c-b04d-4a63-b8d6-8992ee2d4124
A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
[ "A)250", "B)276", "C)976", "D)267", "E)287" ]
A)250
aqua_rat
8ce82edf-d849-4bab-b83d-ad23a551f0f6
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present?
[ "A)46", "B)49", "C)40", "D)21", "E)19" ]
C)40
aqua_rat
19ae54b0-ebe1-49cb-a083-144ec5bc3358
Speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph. A man rows to a place at a distance of 4864 km and comes back to the starting point. The total time taken by him is:
[ "A)700", "B)200", "C)540", "D)120", "E)635" ]
A)700
aqua_rat
cdaa7776-9614-44fc-ac9b-d015c599b916
There is enough provisions for 1200 girls in a hostel for 50 days. If there were 600 girls less, how long will the provision last?
[ "A)75", "B)80", "C)90", "D)95", "E)100" ]
E)100
aqua_rat
a55722d8-fd4c-4385-85bb-159818025bb9
At 1:00, Annie starts to bicycle along a 87 mile road at a constant speed of 15 miles per hour. Thirty minutes earlier, Scott started bicycling towards Annie on the same road at a constant speed of 12 miles per hour. At what time will they meet?
[ "A)2:30", "B)3:00", "C)4:00", "D)6:00", "E)9:00" ]
C)4:00
aqua_rat
c6af970a-95f7-4664-a623-c4041b414b7f
The sum of 5 consecutive even numbers of set x is 440. Find the sum of a different set of five consecutive integers whose second least number is 121 less than double the least number of set x?
[ "A)220", "B)230", "C)235", "D)236", "E)240" ]
E)240
aqua_rat
f1e1fd23-2311-4829-8321-0137f64629c9
A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the invest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest?
[ "A)16", "B)18", "C)28", "D)12", "E)26" ]
D)12
aqua_rat
367f0fcd-5740-44d6-9470-51ea7009eadb
A person travels from P to Q a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
[ "A)27", "B)87", "C)48", "D)77", "E)51" ]
C)48
aqua_rat
1c5750b8-8088-401b-8423-5655549e8623
There are four different models that are to appear in a fashion show. Two are from Europe, two are from South America, and two are from North America. If all the models from the same continent are to stand next to each other, how many ways can the fashion show organizer arrange the models?
[ "A)192", "B)48", "C)64", "D)24", "E)8" ]
A)192
aqua_rat
9841717f-a439-4d95-9a32-a7c4d5d10791
30 men can do a work in 40 days. When should 16 men leave the work so that the entire work is completed in 40 days after they leave the work?
[ "A)87 days", "B)14 days", "C)55 days", "D)44 days", "E)22 days" ]
B)14 days
aqua_rat
cbb09257-723e-4470-9f7a-bfebdcd8c961
14 men can complete a piece of work in 30 days. In how many days can 24 men complete that piece of work?
[ "A)17 1/2 days", "B)26 3/4 days", "C)22 1/2 days", "D)29 days", "E)20 days" ]
A)17 1/2 days
aqua_rat
a312aac3-74ac-4430-b641-23b919d6f8ad
The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
[ "A)1000", "B)2788", "C)2677", "D)2899", "E)2771" ]
A)1000
aqua_rat
81f490c1-f3fc-4740-a173-d933b9bfcf53
A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 30% longer than the smallest size, how long, in inches, is the shoe in size 15?
[ "A)9.25", "B)11.75", "C)13.25", "D)15.75", "E)17.25" ]
A)9.25
aqua_rat
10143b76-994a-4cf5-b4d6-b6e979d19faa
In a room filled with 7 people, 4 people have exactly 1 sibling in the room and 3 people have exactly 3 siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?
[ "A)5/21", "B)3/7", "C)4/7", "D)5/7", "E)32/35" ]
E)32/35
aqua_rat
6ecca1f1-5d06-41f6-8a12-a4fb38dff2e7
Joe is painting a rectangular room whose dimensions are given by a, b and c meters. Joe takes 4 hours to paint a wall with dimensions a and c. He takes 2 hours to paint a wall with dimensions b and c and 6 hours to paint the ceiling with dimensions a and b. If Joe works at a constant rate and a = 3, then what is the vo...
[ "A)4.5 cubic meters", "B)2.4 cubic meters", "C)3.0 cubic meters", "D)3.6 cubic meters", "E)It can’t be determined." ]
A)4.5 cubic meters
aqua_rat
966f2cd0-4605-440d-94a9-ef0a9a69b60a
If ABC us a three digit number such that no one number is similar to other than how many possible values of ( a + 4b + c ) will be divisible by 40 :
[ "A)18", "B)16", "C)15", "D)12", "E)11" ]
C)15
aqua_rat
2881854d-8c83-46ff-856e-e3b77e492175
The sector of a circle has radius of 24 cm and central angle 135o. Find its perimeter?
[ "A)91.5 cm", "B)11.5 cm", "C)104.6 cm", "D)92.5 cm", "E)99.5 cm" ]
C)104.6 cm
aqua_rat
85a7c57d-ae5a-45c6-89d4-8f43761847f6
If X=27^324 and Y=3^134, what is the units digit of X/Y?
[ "A)1", "B)3", "C)5", "D)7", "E)9" ]
E)9
aqua_rat
ac7c82c0-449a-4027-95ee-801ff7b77bb2
Find the number of square tiles to cover the floor of a room measuring 4.5 m * 10 m leaving 0.60 m space around the room. A side of square tile is given to be 11 cms?
[ "A)2710", "B)4764", "C)2772", "D)4000", "E)2400" ]
E)2400
aqua_rat
6b3c0f74-9b0b-4861-9198-eb2b3e69e2da
Find the HCF of 23,46,827
[ "A)227", "B)83", "C)23", "D)827", "E)None of these" ]
A)227
aqua_rat
cb321984-06c6-4fa5-8ca4-2336723f041a
A certain school principal must choose 6 students to attend a field trip out of a group of 10 students. In addition, out of the 6 chosen students, the principal must select a note-taker and a treasurer. How many different ways are there for the principal to select the 6 students and then select the treasurer and the no...
[ "A)1,260", "B)2,520", "C)5,040", "D)6,300", "E)10,080" ]
D)6,300
aqua_rat
06c9b644-c650-4ebf-8856-c9a9d416a2e2
City A to city B, Andrew drove for 1hr at 42 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
[ "A)55.5", "B)57.5", "C)61", "D)61.5", "E)62.5" ]
A)55.5
aqua_rat
02cce88b-498d-4726-9016-f24ba6a0256d
A password of a computer consists of five digits 1 through 6. What is the probability that all digits are divisible by 3 ?
[ "A)1/3", "B)1/6", "C)1/27", "D)1/243", "E)1/486" ]
D)1/243
aqua_rat
12f901c0-0f35-4e6a-be50-1b065084ac80
2/x + 3x = 3(x+2)
[ "A)-9", "B)1/3", "C)-1/9", "D)1/9", "E)9" ]
B)1/3
aqua_rat
aeb2c3a0-7b1f-484b-98c7-3310bf124725
The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
[ "A)29 Years", "B)32 Years", "C)37 Years", "D)49 Years", "E)50 Years" ]
D)49 Years
aqua_rat
06c9b365-3dfd-4991-8a73-62f1b7ad32f7
A bag contains 10 wool scarves, exactly one of which is red and exactly one of which is green. If Deborah reaches in and draws three scarves, simultaneously and at random, what is the probability that she selects the red scarf but not the green scarf?
[ "A)3/11", "B)5/23", "C)7/30", "D)9/37", "E)11/48" ]
C)7/30
aqua_rat
3246cfd9-0401-4197-87d7-0ceb6602b5fa
The water level in a rectangular swimming pool measuring 60 feet by 20 feet is to be lowered by 6 inches. How many gallons of water must be removed? (1 cu ft = 7.5 gallons)
[ "A)100", "B)250", "C)4500", "D)1200", "E)5625" ]
C)4500
aqua_rat
5e030550-b2d3-489a-a1b2-2a0ec2460980
On dividing a certain number by 342, we get 47 as remainder. if same number is divided by 18 . what will be the remainder?
[ "A)7*9k+86", "B)7*9k+56", "C)8*4k+56", "D)18*19K+47", "E)19*6k+9" ]
D)18*19K+47
aqua_rat
b54c5a54-912d-486a-8648-cd934de82300
What is the probability that Carol and Bernie will get selected for a job they both applied for in a company, given that their chances of getting selected is 4/5 and 3/5 respectively?
[ "A)8/25", "B)11/24", "C)12/25", "D)12/25", "E)12/23" ]
D)12/25
aqua_rat
e7ab322b-9982-4615-ac5d-535f56f1fe8c
A train which has 390 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?
[ "A)26 sec", "B)39 sec", "C)36 sec", "D)29 sec", "E)30 sec" ]
B)39 sec
aqua_rat
2cf8696d-6b48-474b-823d-9468e018e48b
one gear of pulley rotates at a speed of 3 rev/sec another gear roates at 5 rev/sec. if both start together after how many seconds will they be together again
[ "A)3 sec", "B)5sec", "C)15 sec", "D)20 sec", "E)25 sec" ]
C)15 sec
aqua_rat
3508fefd-1039-4b1b-94d3-dff518d26e4b
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 7 m, the volume of the box (in m3) is:
[ "A)4830", "B)5236", "C)6420", "D)8960", "E)7960" ]
B)5236
aqua_rat
2a709a9d-27b7-4c50-bbe5-39f330e2a364
A king has 1000 bottles of wine,A queen wants to kill the king and sends a servant to poison the wine .Fortunately the king's guard's catch d servant after he has only poisoned one bottle and the guard don't know which bottle is poisoned .Furthermore it takes one month to have an effect,and there is an anniversary part...
[ "A)1", "B)499", "C)500", "D)999", "E)10" ]
E)10
aqua_rat
033c76a1-85c6-4e73-b180-ee55ecb3ca3d
A train running at the speed of 90 km/hr crosses a pole in 6 seconds. What is the length of the train?
[ "A)255", "B)205", "C)502", "D)225", "E)235" ]
D)225
aqua_rat
93a52e4c-2761-4842-8cbf-206cacb22356
A train 180 m long is running with a speed of 55 km/hr. In what time will it pass a man who is running at 7km/hr in the direction opposite to that in which the train is going?
[ "A)5.5", "B)10.45", "C)7", "D)8", "E)9.5" ]
B)10.45
aqua_rat
683e04ac-51b8-42dd-99cf-8b0813bf929a
The greatest number by which the product of three consecutive multiples of 2 is always
[ "A)54", "B)48", "C)162", "D)243", "E)None of these" ]
B)48
aqua_rat
2c77d9e6-97c2-4574-9827-446a4819ac41
Danny and Steve are running towards each other, each one from his own house. Danny can reach Steve's house in 25 minutes of running, which is half the time it takes Steve to reach Danny's house. If the two started to run at the same time, how much time longer will it take Steve to reach the halfway point between their ...
[ "A)12.5 minutes.", "B)25 minutes", "C)35 minutes.", "D)35 minutes", "E)75 minutes" ]
A)12.5 minutes.
aqua_rat
43b98e4e-839e-4339-936f-c48e20794952
100 is increased by 50%. Find the final number.
[ "A)100", "B)110", "C)150", "D)155", "E)160" ]
C)150
aqua_rat
8f1bac9e-2428-4df9-be2c-5d8e25337798
Of the four numbers, whose average is 50, the first is one-fourth of the sum of the last three. The first number is ?
[ "A)28", "B)29", "C)11", "D)48", "E)40" ]
E)40
aqua_rat
31ccad54-4f33-4220-a217-f6f686e2b00a
While working alone at their constant rates, computer X can process 240 files in 12 hours, and computer Y can process 240 files in 6 hours. If all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process...
[ "A)3", "B)3.5", "C)4", "D)4.5", "E)5" ]
C)4
aqua_rat
64ccf386-8908-4d7d-ac22-a14c2b741887
What is the smallest integer that satisfies the inequality (x - 3)/ (x^2 - 8x - 20) > 0> 0?
[ "A)-2", "B)10", "C)3", "D)-1", "E)0" ]
D)-1
aqua_rat
d615ab46-ce4b-4933-b01c-72cbe45fa335
If r = 199,999 and s = 991,999, which of the following is the units digit of r^4 + s^4?
[ "A)0", "B)1", "C)2", "D)8", "E)9" ]
C)2
aqua_rat
bba36060-d0bf-4787-adc4-fb291085243b
What is the area of a square with perimeter 4P ?
[ "A) p^2", "B) 4P", "C) P^2/4", "D) P/16", "E) P^2/16" ]
A) p^2
aqua_rat
93613121-9476-4cef-aaf3-5c72ce92470c
Rahul and Bharti are partners in a business. Rahul contributes 1/4th capital for 15 months and Bharti received 2/3 of profit. For how long Bharti money was used.
[ "A)8 months", "B)10 months", "C)11 months", "D)17 months", "E)None of these" ]
B)10 months
aqua_rat
7a3943bd-28bc-432a-a0ab-8ea964c9fca7
By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
[ "A)35%", "B)30%", "C)40%", "D)42 6/7%", "E)None of these" ]
D)42 6/7%
aqua_rat
6807a64c-2147-4057-81e0-f3ba82e605b8
If n divided by 7 has a remainder of 2, what is the remainder when 2 times n is divided by 7?
[ "A)1", "B)2", "C)3", "D)4", "E)6" ]
D)4
aqua_rat
8eef289a-4074-4c42-81d5-04d867a52b9e
A bag contains 2 red, 3 green and 2 blue balls. 2 balls are to be drawn randomly. What is the probability that the balls drawn contain no blue ball?
[ "A)5⁄7", "B)10⁄21", "C)2⁄7", "D)11⁄21", "E)None of these" ]
B)10⁄21
aqua_rat
b8d11eeb-44d1-441c-bf51-83bab2875676
If the product of the integers r, s, t and u is 770, and if 1 < r< s< t< u, what is the value of r+ u?
[ "A)10", "B)13", "C)16", "D)18", "E)21" ]
B)13
aqua_rat
af07a3d9-46c8-4741-8efd-84bb6b4ad7bc
At 6'o clock clock ticks 6 times. The time between first and last ticks was 30sec. How much time it takes at 11'o clock.
[ "A)60sec", "B)62sec", "C)66sec", "D)64sec", "E)76sec" ]
A)60sec
aqua_rat