id
string
question
string
choices
list
answer_key
string
source
string
e6581afc-c91e-422f-b7df-06b1a5043209
A small, experimental plane has three engines, one of which is redundant. That is, as long as two of the engines are working, the plane will stay in the air. Over the course of a typical flight, there is a 1/4 chance that engine one will fail. There is a 75% probability that engine two will work. The third engine works...
[ "A) 7/12", "B) 1/4", "C) 1/2", "D) 7/24", "E) 17/24" ]
A) 7/12
aqua_rat
a99f98ba-cab3-4914-a04f-50abcb86e16d
A store raised the price of an item by exactly 20 percent. Which of the following could NOT be the resulting price of the item?
[ "A)6", "B)12", "C)18", "D)24", "E)58" ]
E)58
aqua_rat
e5cc5ae6-3ec5-4cfe-91f2-264870f4a88d
A departmental store charges the commission of 25 percent on the first sale of items worth $50,000 and then an additional 10 percent on any sale price that exceeds the initial $50,000. If the department store earned $24,000 in commissions for the sale of a series of diamonds, what was the sale price of the diamond set?
[ "A) $215,000", "B) $165,000", "C) $115,000", "D) $240,000", "E) $160,000" ]
B) $165,000
aqua_rat
7e8b63b4-e8c3-4dc2-8470-24aafcb46362
The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 30 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
[ "A)63%", "B)40%", "C)64.8%", "D)70%", "E)72%" ]
A)63%
aqua_rat
8ae50ec3-4b37-4c4d-8628-daecefa15d83
A boat can travel with a speed of 24 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 112 km downstream
[ "A)3 hours", "B)4 hours", "C)5 hours", "D)6 hours", "E)7 hours" ]
B)4 hours
aqua_rat
81988bfe-97a7-404a-a69f-d00c92fab055
Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?
[ "A)14", "B)15", "C)16", "D)17", "E)18" ]
C)16
aqua_rat
c37a2b94-1bec-49d7-8add-bde12a16add3
The sum of five consecutive even numbers is 500. Find the middle number of the five?
[ "A)140", "B)66", "C)100", "D)99", "E)120" ]
C)100
aqua_rat
84d5bfc8-916f-45ec-b4cd-b6901782cd2f
One vessel contains a mixture of 4 parts pure wine and 3 parts soda, whereas the other vessel contains a mixture of 9 parts pure wine and 5 parts soda. Compare the strength of the wine.
[ "A)35;36", "B)10 : 9", "C)7 : 4", "D)14 : 5", "E)None of these" ]
B)10 : 9
aqua_rat
c4d36afe-f412-43e6-be94-59ca8853015f
A part-time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee's total income did not change. By what percent W should the number of hours worked be increased?
[ "A)12.5%", "B)20%", "C)25%", "D)50%", "E)100%" ]
C)25%
aqua_rat
00125f17-e960-4171-bfc5-cce66c63f7b0
A and B can do a work in 4 hours and 12 hours respectively. A starts the work at 6AM and they work alternately for one hour each. When will the work be completed?
[ "A)3", "B)4", "C)5", "D)6", "E)78" ]
D)6
aqua_rat
811efd22-ba72-46ab-8622-fd26bd5e7813
There are 21 Kids in a classroom. 12 Kids are wearing socks and 8 are wearing Shoes. 6 Kids are wearing both. How many are Bare Feet ?
[ "A)1", "B)2", "C)4", "D)5", "E)7" ]
E)7
aqua_rat
23a8e2d5-b779-4340-bfd6-015b06604773
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)277", "C)299", "D)266", "E)292" ]
A)250
aqua_rat
1ab884d9-0dd4-49cb-a5d6-e83edab166f5
The perimeter of an equilateral triangle is 60. If one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 70, then how long is the base of isosceles triangle?
[ "A)15", "B)20", "C)25", "D)30", "E)35" ]
D)30
aqua_rat
bdc6680f-3e6a-4d0a-83fd-b10541556814
In a firm there are men and cows. In all, there are 21 heads and 64 feet. How many men and how many cows are in the firm?
[ "A)8 men and 13 cows.", "B)10 men and 11 cows.", "C)6 men and 15 cows.", "D)5 men and 16 cows.", "E)11 men and 10 cows." ]
B)10 men and 11 cows.
aqua_rat
a21120a9-5085-4331-81f5-4dbfb8d925e9
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 80% of Calculus students are enrolled in the b...
[ "A)8%", "B)12%", "C)16%", "D)20%", "E)24%" ]
B)12%
aqua_rat
ead79c7a-6ea5-44a2-8401-cb42d7159cd1
If a and b are different positive integers and a + b = a(a + b+1), then which of the following must be true? I. a = 1 II. b = 1 III. a < b
[ "A)I only", "B)II only", "C)III only", "D)I and II", "E)I and III" ]
C)III only
aqua_rat
1108ac0d-e82a-440d-afcc-c41ca441d39e
Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $450, what were her original savings?
[ "A)$1500", "B)$1600", "C)$1700", "D)$1800", "E)$1900" ]
D)$1800
aqua_rat
1b6ffb0e-c193-4de5-9669-0c53e4791808
A is thrice as good a work man as B and together they finish a piece of work in 16 days.The number of days taken by B alone to finish the work is :
[ "A)64 days.", "B)24 days.", "C)52 days.", "D)35 days.", "E)28 days." ]
A)64 days.
aqua_rat
c7369090-6d36-48cb-aa99-542f7608d164
Sunil invested $ 2300 fir 3 years and $ 800 for 4 years at the same rate of Simple Interest. If the total interest from these investments is $ 1350, what is the rate of interest?
[ "A)12 3/4%", "B)15 1/3%", "C)15 1/2%", "D)16%", "E)13 1/4%" ]
E)13 1/4%
aqua_rat
17577695-9b75-421f-98f9-8b43415fa910
A cylindrical water tower with radius 15 m and height 4 m is 3/4 full at noon. Every minute, .08π m3 is drawn from tank, while .03π m3 is added. Additionally, starting at 1pm and continuing each hour on the hour, there is a periodic drain of 4π m3. From noon, how many hours will it take to drain the entire tank?
[ "A)20 2/7", "B)90 6/7", "C)91", "D)91 3/7", "E)97" ]
E)97
aqua_rat
09a7dd6f-0762-4186-afa1-00a8647194d7
The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?
[ "A)16", "B)12", "C)17", "D)15", "E)71" ]
B)12
aqua_rat
7c9e429d-9ff6-4f92-8abb-01a767e7e60d
Thirty five percent of the portfolios managed by the Crocodile Brokers company (C.B.C.) hold Hatsopoulos stocks. Forty percent of the portfolios managed by C.B.C. hold McQuarrie stocks and do not hold Hatsopoulos stocks. Fifteen percent of the portfolios managed by C.B.C. hold Hatsopoulos stocks and do not hold McQuarr...
[ "A)20", "B)25", "C)40", "D)60", "E)65" ]
C)40
aqua_rat
43fe27b2-f82f-458e-8b01-d443bb3fc65a
The population of a town increased from 1,75,000 to 2,45,000 in a decade. The average percent increase of population per year is
[ "A)4%", "B)5%", "C)6%", "D)8.75%", "E)None" ]
A)4%
aqua_rat
c3c0c180-32c5-4c3e-8b0f-ac934f4e965e
Find the value of x from the below equation? : 3x^2+5x+2 = 0
[ "A)-1", "B)-2", "C)1", "D)2", "E)3" ]
A)-1
aqua_rat
33932912-56d5-48da-b87e-fd782967bc6e
3 candidates in an election and received 3000, 5000 and 20000 votes respectively. What % of the total votes did the winningcandidate got in that election?
[ "A)45.12%", "B)50%", "C)57%", "D)71.42%", "E)65%" ]
D)71.42%
aqua_rat
c0ca8369-4539-4e8b-aec4-b903446f5454
C and D started a business by investing Rs.1000/- and Rs.1500/- respectively. Find the D’s share out of a total profit of Rs.500:
[ "A)400", "B)300", "C)200", "D)100", "E)150" ]
D)100
aqua_rat
7fe51434-36c9-4b61-8456-e118d4655d9c
x varies inversely as square of y. Given that y=3 for x=1. The value of x for y = 7 will be equal to:
[ "A)3", "B)6", "C)1/9", "D)1/3", "E)9/49" ]
E)9/49
aqua_rat
365f82ae-fee6-4768-9939-6bd76c9b61b8
Ayesha’s father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
[ "A)2 years", "B)4 years", "C)6 years", "D)8 years", "E)None" ]
C)6 years
aqua_rat
85cee08b-640c-4d90-9f9d-84fb55fb3388
If x,y and z are positive integers, and 30x=35y=42z, then which of the following must be divisible by 3? I. x II. y III. z
[ "A)I", "B)II", "C)III", "D)I & III", "E)I, II & III" ]
B)II
aqua_rat
6ed098eb-8fb1-4bb5-9db0-509687a7669f
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 6 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
[ "A)13:1", "B)13:3", "C)13:8", "D)13:5", "E)13:2" ]
B)13:3
aqua_rat
32361f84-d9ca-4075-bf03-1705d9f4f16f
The dairy condensed milk has only 20% water while the cow milk has 90% water. How many litres of milk maid will be obtained from 72 litres of milk?
[ "A)2", "B)7", "C)6", "D)9", "E)8" ]
D)9
aqua_rat
74e35b3f-454c-46ee-812e-af41cda9c655
The average salary of workers in an industry is Rs.200 the average salary of technicians being Rs.400 and that of non-technicians being Rs.125. What is the total number of workers?
[ "A)399", "B)665", "C)998", "D)2771", "E)22" ]
B)665
aqua_rat
27ef4b04-bf17-4a95-a4de-0922ca22be98
A sock drawer contains seven socks, each one a different solid color. The colors of the socks are red, orange, yellow, green, white,blue, indigo, and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks?
[ "A)12", "B)15", "C)21", "D)36", "E)28" ]
E)28
aqua_rat
2eafeda4-9ccc-4db8-8349-3d26a8c3b7fb
In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house?
[ "A)234", "B)255", "C)278", "D)289", "E)290" ]
B)255
aqua_rat
00b5b68b-ad7b-4493-9ec2-b231ed061db0
11 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be :
[ "A)84 m", "B)88 m", "C)14 m", "D)137 m", "E)None" ]
C)14 m
aqua_rat
44997c1d-1c22-4a19-a88f-439f302eadef
A solution of X pounds of water and sugar is boiled until 20% of the water content evaporates. Originally q% of sugar was present in the solution. After evaporation, what percentage of the solution is sugar?
[ "A)100q/(1-q)", "B)80q/(1-q)", "C)75q/(1-q)", "D)100q/(80-0.2q)", "E)100q/(80+0.2q)" ]
E)100q/(80+0.2q)
aqua_rat
fc44176b-9fbe-43ef-a130-64d5c4c327ae
A man rows down stream 40 km and upstream 21 km taking 4 hrs each time. what is the velocity of current?
[ "A)2.735 Kmph", "B)2.375 kmph", "C)2. 573 kmph", "D)2 kmph", "E)None of these" ]
B)2.375 kmph
aqua_rat
ed5edf79-6d68-420b-9266-4b97a56332ee
If eight numbers are randomly selected without replacement from set {1, 2, 3, 4, 5, 6, 7, 8}, what is the probability that the numbers are selected in ascending order?
[ "A)1/25600", "B)1/36240", "C)1/48360", "D)1/24120", "E)1/40320" ]
E)1/40320
aqua_rat
868224b9-824c-4df0-8491-891ef838196a
Valentine day 14 Feb. 2005 was celebrated by Anand and shilpa on friday. They were very happy. What day of the week would come on 14 Feb. 2010?
[ "A)monday", "B)tuesday", "C)sunday", "D)wednesday", "E)thursday" ]
E)thursday
aqua_rat
d808580c-3c0b-4832-b7b1-2f3493a43586
Due to construction, the speed limit along an 10-mile section of highway is reduced from 55 miles per hour to 20 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
[ "A)A) 6.24", "B)B) 8", "C)C) 10", "D)D) 19.1", "E)E) 24" ]
D)D) 19.1
aqua_rat
dd364e0a-c190-410e-b8c1-f310e735bb3e
In how many ways can 5 boys and 2girls be arranged at a table if 2girls are never together?
[ "A)329", "B)350", "C)378", "D)390", "E)480" ]
E)480
aqua_rat
c02b675e-bb2a-48a6-9a29-60cc2c9577da
A car covers a distance of 624 km in 3 hours. Find its speed?
[ "A)104", "B)277", "C)298", "D)269", "E)208" ]
E)208
aqua_rat
a1119cea-ba43-488e-b008-65229a7d6c2a
A and B can do a piece of work in 50 days and 50 days respectively. They work together for 10 days and B leaves. In how many days the whole work is completed?
[ "A)30days", "B)35days", "C)40days", "D)44days", "E)45days" ]
A)30days
aqua_rat
f48b9001-d6cd-4874-884d-00ee667fb3b3
Three boys, two girls, and two women are to be seated on a bench. If one specific boy must be seated on one of the end seats, and one specific girl must me seated exactly in the middle, find the number of possible arrangements E.
[ "A)a) E=48", "B)b) E=144", "C)c) E=240", "D)d) 288", "E)e) 120" ]
C)c) E=240
aqua_rat
c8cd3133-67d1-428f-b8b1-a005ee2ce954
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of?
[ "A)600km/hr", "B)720km/hr", "C)710km/hr", "D)510km/hr", "E)480km/hr" ]
B)720km/hr
aqua_rat
6aaa2711-67c9-49f7-bea2-4687834eac66
If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same no. by 30
[ "A)11", "B)13", "C)15", "D)17", "E)18" ]
E)18
aqua_rat
37a47574-c01a-44af-9895-bd17cbd6c2ac
10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 8 women and 12 children take to complete the work?
[ "A)4", "B)5", "C)7", "D)8", "E)2" ]
B)5
aqua_rat
adfbff15-1a01-4cc9-9f3a-cde78fcebd94
In a kilometer race, A beats B by 40 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)240 sec" ]
E)240 sec
aqua_rat
ec0afb25-4a25-415b-a829-e8f5628b261d
If d is the standard deviation x, y, and z, what is the standard deviation of x +3, y + 3, z + 3 ?
[ "A)3d", "B)3d+3", "C)d", "D)3d+9", "E)3d-3" ]
C)d
aqua_rat
8579c0a4-c10e-4730-b8f2-411e97a68e4c
Right now, the ratio between the ages of Sandy and Molly is 4:3. After 6 years, Sandy’s age will be 30 years. What is Molly's age right now?
[ "A)12", "B)14", "C)16", "D)18", "E)20" ]
D)18
aqua_rat
5c7fcb81-0adf-4443-b7a7-07aadb65526c
A person lent a certain sum of money at 6% per annum at simple interest and in 8 years the interest amounted to $572 less than the sum lent. What was the sum lent?
[ "A)1000", "B)1100", "C)1200", "D)1300", "E)1400" ]
B)1100
aqua_rat
b5bb428d-f1f6-40dc-92f6-65b598120811
The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, What is the the speed of the first train?
[ "A)87.0", "B)87.5", "C)87.2", "D)87.1", "E)87.4" ]
B)87.5
aqua_rat
855aa543-a019-4d54-9c0e-d612c18f4443
The diameter of the driving wheel of a bus in 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 20 kmph?
[ "A)21.21", "B)20.25", "C)32.25", "D)75.75", "E)62.61" ]
D)75.75
aqua_rat
06f9053d-3288-45b0-80ca-ddec1058ff8c
6, 11, 21, 36, 56, ?
[ "A)51", "B)71", "C)81", "D)61", "E)91" ]
C)81
aqua_rat
a5b46e7c-0ec9-4713-9937-882e45fff072
Salaries of A, B and C were in the ratio 3 : 5 : 7 respectively. If their salaries were increased by 50 per cent, 60 per cent and 50 per cent respectively, what will be the new ratio of their respective salaries?
[ "A)4 : 5 : 7", "B)3 : 6 : 7", "C)4 : 15 : 18", "D)9 : 16 : 21", "E)8 : 16 : 21" ]
D)9 : 16 : 21
aqua_rat
7cfcf690-13cf-4d64-aa4d-4b1be400c3e4
How many terms are there in 2, 4, 8, 16,..., 2048?
[ "A)14", "B)11", "C)12", "D)10", "E)8" ]
B)11
aqua_rat
b6214c03-11e3-4a07-b92f-094cedf077f9
Which of the following is the product of two integers whose sum is 12?
[ "A) -42", "B) -28", "C) 12", "D) 26", "E) 32" ]
B) -28
aqua_rat
3992b4cb-90f6-44c1-ae41-6d8aefff7e15
In the formula V = 1/(2r)^2, if r is halved, then V is multiplied by?
[ "A)4", "B)8", "C)1", "D)1/8", "E)1/64" ]
A)4
aqua_rat
5fea92f3-7f8f-4936-bf5c-8abe3a6c9e7d
Mrs. Napier has 38 stickers to give to 5 students for a reward. How many stickers will each student get? Will there be any stickers left over?
[ "A)2-5", "B)2-4", "C)7-6", "D)2-3", "E)2-8" ]
C)7-6
aqua_rat
0b28f376-ac66-4466-a7d1-85f4645e01f6
If 3<x<6<y<8, then what is the greatest possible positive integer difference of x and y?
[ "A)3", "B)4", "C)5", "D)6", "E)7" ]
B)4
aqua_rat
dae7be0a-feac-4519-a4ca-237b8c60295b
Two Copiers are being used to produce 2400 copies of a 1-page document. One Copier runs at 150% of the speed of the other. How many copies should be made on the faster copier so that both copiers will finish the same time?
[ "A)1240", "B)1440", "C)1340", "D)1540", "E)1640" ]
B)1440
aqua_rat
5b9c5c18-2221-4ab4-a71a-f14ad63dc90a
The ratio of a compound, by weight, consisting only of substances x, y, and z is 4:6:10, respectively. Due to a dramatic increase in the surrounding temperature, the composition of the compound is changed such that the ratio of x to y is halved and the ratio of x to z is tripled. In the changed compound, if the total w...
[ "A)48", "B)36", "C)24", "D)52", "E)60" ]
E)60
aqua_rat
0f61c026-60e9-44f6-8df7-0aaa6126d9e4
When a random experiment is conducted, the probability that event A occurs is 1/5. If the random experiment is conducted 5 independent times, what is the probability that event A occurs exactly twice?
[ "A)36/625", "B)48/625", "C)64/625", "D)98/625", "E)128/625" ]
E)128/625
aqua_rat
e05a2eb9-edc4-4e91-be74-4262d9984e7d
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are
[ "A)42,30", "B)42,31", "C)42,32", "D)42,33", "E)None of these" ]
D)42,33
aqua_rat
c565c132-0eea-4401-b654-a33e4601e158
12 men and 18 boys working 7.5 minutes an hour complete a particular piece of work in 60 hours. If a boy’s work is half as efficient as a man’s work, how many boys will be needed to help 21 men to achieve twice the work in 50 hours working 9 minutes in an hour.
[ "A)28", "B)77", "C)42.", "D)99", "E)17" ]
C)42.
aqua_rat
31184f26-fe32-4088-960c-9ed946727592
Find a sum for first 5 prime number's?
[ "A)24", "B)28", "C)30", "D)32", "E)34" ]
B)28
aqua_rat
9b475c40-13e1-4773-a04a-d0245f179738
The number of new words that can be formed by rearranging the letters of the word 'OF' is
[ "A)5", "B)8", "C)1", "D)3", "E)4" ]
C)1
aqua_rat
2546093a-e358-4fa5-a5ad-1f3cc477a70d
A student travels from his house to school at 10 km/hr and reaches school 2 hours late. The next day he travels 15 km/hr and reaches school 1 hour early. What is the distance between his house and the school?
[ "A)60", "B)70", "C)80", "D)90", "E)100" ]
D)90
aqua_rat
27aa9cb8-6025-441a-b072-c828574dfbf8
How many positive integers less than 7,000 are there in which the sum of the digits equals 5?
[ "A)52", "B)54", "C)56", "D)58", "E)60" ]
C)56
aqua_rat
3f07bed1-1d15-4d81-9a69-b1663416cd22
The value of a scooter depreciates in such a way that its value of the end of each year is 3/4 of its value of the beginning of the same year. If the initial value of the scooter is Rs.40,000, what is the value at the end of 1 year?
[ "A)3277", "B)2977", "C)30000", "D)6077", "E)17112" ]
C)30000
aqua_rat
8dbbd896-d0bd-4ebb-8609-cc60ae79b0cf
For integers x, y, and z, if (3^x) (4^y) (5^z) = 13,107,200,000 and x + y + z = 16, what is the value of xy/z?
[ "A)undefined", "B)0", "C)3", "D)5", "E)7" ]
B)0
aqua_rat
b0fc504b-e6e8-46d6-a995-3312ce65e19b
A does a work in 20 days and B does the same work in 30 days. In how many days they together will do the same work ?
[ "A)5 days", "B)6 days", "C)9 days", "D)12 days", "E)None of these" ]
D)12 days
aqua_rat
3d5a70d1-901b-417c-913c-6aa0c72f4bfb
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
[ "A)246", "B)240", "C)88", "D)76", "E)121" ]
B)240
aqua_rat
d4e4e289-17a0-429a-b842-3ba2973afa87
A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.6 per sq m?
[ "A)675, Rs.1350", "B)575, Rs.1350", "C)1350, Rs.675", "D)1450, Rs.775", "E)675, Rs.4050" ]
E)675, Rs.4050
aqua_rat
31810c94-7308-4ac1-bd55-650a8cb0b45f
If 4 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
[ "A)10:5:5", "B)10:5:8", "C)10:5:2", "D)10:5:4", "E)10:5:1" ]
D)10:5:4
aqua_rat
d33d5ff6-448c-46b5-8f7d-7bf0e2d9e763
Frank the Fencemaker needs to fence in a rectangular yard. He fences in the entire yard, except for one full side of the yard, which equals 40 feet. The yard has an area of 200 square feet. How many feet offence does Frank use?
[ "A)14", "B)47", "C)50", "D)180", "E)240" ]
C)50
aqua_rat
c398da63-9700-448a-8246-845c35d12919
If n is an even negative integer, which of the following must then be an odd positive integer?
[ "A)2n", "B)-2n + 1", "C)-(n^2)", "D)2n - 1", "E)n^3" ]
B)-2n + 1
aqua_rat
23065b09-5fa8-45cb-8e83-406d94aa99aa
A store purchased a pair of pants for $210 and was selling it at a price that equaled the purchase price of the pants plus a markup that was 25 percent of the selling price. After some time a store owner decided to decrease the selling price by 20 percent. What was the store's gross profit on this sale?
[ "A)$14", "B)$2", "C)$10", "D)$6", "E)$8" ]
A)$14
aqua_rat
85005305-254d-4821-87bc-5eb5ed7ec81c
There were two clock one is getting slow by two minutes/hr and another one is gaining 1 minute every hour and exactly after how many hours there two clock has a 1hr difference.
[ "A)10 Hours", "B)15 Hours", "C)20 Hours", "D)25 Hours", "E)28 Hours" ]
C)20 Hours
aqua_rat
f9adfd13-3857-44d5-bb34-766a917c6fd1
Jerry left a job paying $75,000 per year to accept a sales job paying $45,000 per year plus 15 percent commission. If each of his sales is for $750, what is the least number of sales he must make per year if he is not to lose money because of the change?
[ "A)40", "B)200", "C)266", "D)267", "E)600" ]
D)267
aqua_rat
4ef16dd5-2eae-494b-b90a-b0f2f8e442b7
Mathematics, physics, and chemistry books are stored on a library shelf that can accommodate 25 books. Currently, 20% of the shelf spots remain empty. There are twice as many mathematics books as physics books and the number of physics books is 4 greater than that of the chemistry books. Ricardo selects 1 book at rando...
[ "A)3%", "B)6%", "C)12%", "D)20%", "E)24%" ]
C)12%
aqua_rat
b3e9348a-2b32-433d-8d37-75ee28e1bb36
A number increased by 20% gives 600. The number is
[ "A)250", "B)400", "C)450", "D)500", "E)520" ]
D)500
aqua_rat
491ed5a5-c0c6-4d4e-a103-ac252fa48860
. On dividing a number by 357, we get 38 as remainder. On dividing the same number 17, what will be the remainder ?
[ "A)0", "B)3", "C)4", "D)8", "E)11" ]
C)4
aqua_rat
047a3912-c93f-4c71-9d5a-a4d5b20fb2c9
The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 18 years(the child was born during the interval). What is the present age of the child?
[ "A)13 years", "B)9 years", "C)6 years", "D)4 years", "E)5 years" ]
A)13 years
aqua_rat
5530cb9a-d4c2-4860-b578-c5aa05e35dff
There are 8 digit mobile numbers. From that how many 8 digit mobile numbers can be formed if any digit can be repeated and 0 can also start the mobile number?
[ "A)9^2", "B)7^3", "C)10^8", "D)11^9", "E)12^3" ]
C)10^8
aqua_rat
9e879f18-b8b4-4aaa-a425-7be9f847a71a
Let y = 2m + x^2 and m = 5x + 1. If m^2 = 36, then which of the following can be a value of 2y + 3m?
[ "A)100", "B)130", "C)141", "D)142", "E)44" ]
E)44
aqua_rat
ede849bd-464d-40f9-ac4d-54f5fc0d9d5e
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
[ "A)4", "B)5", "C)6", "D)7", "E)8" ]
A)4
aqua_rat
9ed18af3-6538-4ee4-81d1-a9f4e4058135
Find two numbers whose sum is 26 and whose product is 165.
[ "A)11 and 12", "B)11 and 13", "C)11 and 15", "D)11 and 16", "E)11 and 19" ]
C)11 and 15
aqua_rat
5b3a6d70-0541-48e5-82ca-91c188da91bb
Pure milk costs 3.60 per litre. A milkman adds water to 25 litres of pure milk and sells the mixture at 3 per litre. How many litres of water does he add?
[ "A)2 litres", "B)5 litres", "C)7 litres", "D)11 litres", "E)None of these" ]
B)5 litres
aqua_rat
07aca129-a9f0-4260-842c-4e97456dfedf
If y = x^2 + mx + n, y is minimum when x is:
[ "A)m/n", "B)-m/n", "C)-m/2", "D)-n/2", "E)n/m" ]
C)-m/2
aqua_rat
1ea89819-b04e-4e98-aed2-1b86cb2d4481
Find the value of 3 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
[ "A)800", "B)500", "C)900", "D)1600", "E)2400" ]
E)2400
aqua_rat
b9fb1970-fac1-4243-a084-236ca0854359
A dishonest dealer professes to sell goods at the cost price but uses a weight of 850 grams per kg, what is his percent?
[ "A)2%", "B)25%", "C)22%", "D)17.65%", "E)45%" ]
D)17.65%
aqua_rat
26edf6f8-f3c5-4fc9-abbc-8ac25696b917
The sale price sarees listed for Rs.340 after successive discount is 20% and 15% is?
[ "A)298", "B)231", "C)342", "D)876", "E)291" ]
B)231
aqua_rat
594693d8-d289-41a9-8c43-9e38759345f2
If 2|2 –w| = 5, what is the sum of all the possible values for w ?
[ "A)1/2", "B)2", "C)5/2", "D)4", "E)5" ]
D)4
aqua_rat
1cb11ba4-c20a-45a8-a838-aa241f77614f
Factor: 16w3 – u4w3
[ "A)w3(4 + u2)(2 + u)(2 + u)", "B)w3(4 + u2)(2 - u)(2 + u)", "C)w3(4 + u2)(2 + u)(2 - u)", "D)w3(4 - u2)(2 + u)(2 - u)", "E)w3(4 + u2)(2 - u)(2 - u)" ]
C)w3(4 + u2)(2 + u)(2 - u)
aqua_rat
21a050ac-3a27-4dab-9417-42c59b6a8f44
Let the polynomials be: P1(x)=3x2−7x+5, P2(x)=−5x2−4x+2, P1(x)+P2(x)=
[ "A)2x2 + 11x - 7", "B)-2x2 - 11x + 7", "C)-2x2 - 11x + 6", "D)2x2 - 9x + 7", "E)None of these" ]
B)-2x2 - 11x + 7
aqua_rat
ee43b5fa-5133-4ea4-b87f-dfbf0131f07d
5^100 is divided by 18. Then what is the remainder?
[ "A)10", "B)11", "C)13", "D)15", "E)16" ]
C)13
aqua_rat
5581428d-fef3-4436-af64-82d044c6a6a2
If an investor puts $1000 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year?
[ "A)$1100.25", "B)$1100.75", "C)$1101.25", "D)$1101.75", "E)$1102.50" ]
E)$1102.50
aqua_rat
94430220-58fa-4457-ac34-82aeadd22244
A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?
[ "A)3/0", "B)3/1", "C)3/4", "D)3/8", "E)3/40" ]
C)3/4
aqua_rat
cfd18071-52eb-439e-8ebe-b92441721fb7
If x is real, find the maximum value of the expression -2x^2 + 11x + 13.
[ "A)16.125", "B)20.125", "C)24.125", "D)28.125", "E)32.125" ]
D)28.125
aqua_rat