id
string
question
string
choices
list
answer_key
string
source
string
881c9a44-6532-48eb-bd9e-9d59dd5421d3
Let A be the positive integer satisfying the following equation. 9/10 + 99/102th + 999/103rd + · · · + 9999999999/1010th = A/1010th How many 8’s appear in the decimal representation of A ?
[ "A)0", "B)1", "C)5", "D)8", "E)9" ]
E)9
aqua_rat
b492c9ae-773f-471b-888a-f6108f0b1ca7
A man was asked to state his age in years. His reply was , "Take my age 6 years hence, multiply it by 6 and subtract 6 times my age 6 years ago and you will know how old I am." What was the age of the person ?
[ "A)18", "B)92", "C)72", "D)26", "E)19" ]
C)72
aqua_rat
a0d4d6d6-d4b9-4c61-90e8-afdf12d5d578
In what time will a railway train 120 m long moving at the rate of 36 kmph pass a telegraph post on its way?
[ "A)12 sec", "B)7 sec", "C)8 sec", "D)9 sec", "E)10 sec" ]
A)12 sec
aqua_rat
efcdc406-efe6-4430-9d58-c8a1f959d2ed
Given that there are 8 cricket players per team, how many ways can you select 10 cricket players from 2 teams if no more than 3 players can be selected from each team?
[ "A)2456", "B)3136", "C)1452", "D)3565", "E)2134" ]
B)3136
aqua_rat
b989ffa7-4965-429d-8361-b8404952f7d9
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
[ "A)76 Kmph", "B)68 Kmph", "C)79 Kmph", "D)25 Kmph", "E)28 Kmph" ]
B)68 Kmph
aqua_rat
008273d7-76ed-4e4d-b6aa-a954c26109a3
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
[ "A)30%", "B)40%", "C)70%", "D)80%", "E)90%" ]
C)70%
aqua_rat
a04374f3-002a-4da4-a866-e3dce829b1a3
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm?
[ "A)827 cm2", "B)216 cm2", "C)285 cm2", "D)178 cm2", "E)176 cm2" ]
C)285 cm2
aqua_rat
01916609-3271-4216-bdfd-9f78a3303191
P has $35 more than what Q and R together would have had if both B and C had 1/7 of what P has. How much does P have?
[ "A)$45", "B)$47", "C)$49", "D)$51", "E)$53" ]
C)$49
aqua_rat
ab79a6f6-97fb-47f7-92d6-ae5584ee10cd
The total expense of a boarding house is partly fixed and partly variable with the number of boarders. When the number of boarders is 25, then the charge is Rs 70 per head and the same is Rs 60 when the number of boarders is 50. What would be the charge per head if there are 100 boarders?
[ "A)51", "B)52", "C)53", "D)54", "E)55" ]
E)55
aqua_rat
89cdc848-6a49-4dc1-97f7-033a2780514e
If YWVSQ is 25 - 23 - 21 - 19 - 17, Then MKIGF
[ "A)13 - 11 - 9 - 7 - 9", "B)13 - 11 - 9 - 7 - 6", "C)13 - 11 - 9 - 7 - 7", "D)13 - 11 - 9 - 7 - 3", "E)13 - 11 - 9 - 7 - 1" ]
B)13 - 11 - 9 - 7 - 6
aqua_rat
53812b29-1a79-4582-ba7f-c8f341e6f105
The salary of a person was reduced by 25%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?
[ "A)10%", "B)33.33%", "C)20%", "D)25%", "E)50%" ]
B)33.33%
aqua_rat
aa6e23d7-9eb1-408d-8a4e-befbe8537d1e
Find the numbers which are in the ratio 5:2:4 such that the sum of the first and the second added to the difference of the third and the second is 18?
[ "A)4,3,22", "B)4,4,22", "C)10,4,8", "D)9,6,12", "E)9,2,23" ]
C)10,4,8
aqua_rat
09c7d1bc-81e9-4fbf-83c4-609ecee75852
If m and n are even integers, which of the following is an odd integer?
[ "A)mn + 2", "B)m(n − 1)", "C)m(m + 5)", "D)3m + 4n", "E)(m + 3)(n − 1)" ]
E)(m + 3)(n − 1)
aqua_rat
14474269-723d-421e-8e8c-fece64cde038
By how much does the larger root of the equation 2a^2+5a = 12 exceed the smaller root?
[ "A) 5/2", "B) 10/3", "C) 7/2", "D) 14/3", "E) 11/2" ]
E) 11/2
aqua_rat
f2cc157a-9f8f-4a47-bafb-acf9676f1d13
The cross-section of a water channel is a trapezium in shape. If the channel is 14 meters wide at the top and 8 meters wide at the bottom and the area of cross-section is 880 square meters, what is the depth of the channel (in meters)?
[ "A)50", "B)60", "C)70", "D)80", "E)90" ]
D)80
aqua_rat
1eb833b1-beb5-465a-847a-7d9b602f1d39
At what time between 5 and 6 o' clock are the hands of a 3 minutes apart ?
[ "A)24", "B)55", "C)66", "D)88", "E)21" ]
A)24
aqua_rat
957416af-8ff6-458f-9750-b133be967a03
Benny goes to the market for buying some apples to be distributed between her nine kids equally.She takes 360 dollars with her .The cost of each apple is 3 dollars .How many apples does she buy to share them equally between her six kids?
[ "A)20", "B)9", "C)15", "D)7", "E)10" ]
A)20
aqua_rat
1c835bb3-3439-441f-91ec-7fb2d0f9fa59
A and B complete a work in 4 days. A alone can do it in 6 days. If both together can do the work in how many days?
[ "A)3.75 days", "B)3.7 days", "C)3.6 days", "D)2.4 days", "E)5.75 days" ]
D)2.4 days
aqua_rat
34ad2b0b-4ae1-492f-9d99-b71af00d99a5
The ratio of the present age of Viju to that of Aju is 7:2. Four years from now, the ratio of the ages of Viju to Aju will be 5:2. What was Viju age 6 years ago ? (RBI Assistant 2015)
[ "A)24", "B)18", "C)12", "D)15", "E)13" ]
D)15
aqua_rat
c4dfb45e-2073-48ee-9127-08d41612e328
How many prime numbers are between 25/3 and 84/6?
[ "A)1", "B)2", "C)3", "D)4", "E)5" ]
B)2
aqua_rat
560c6246-f6a0-425c-aaba-8d20879a432a
Two tables are purchased for the total cost of Rs. 5000. First table is sold at 40% profit and second at 40% loss. If selling price is same for both the tables, what is the cost price of the table that was sold at profit?
[ "A)Rs. 1500.", "B)Rs. 2500.", "C)Rs. 3500.", "D)Rs. 4500.", "E)Rs. 5500." ]
A)Rs. 1500.
aqua_rat
0f1aec31-919e-4904-a5d8-6d8b3a34871b
The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 21. What is the last numbers?
[ "A)2", "B)4", "C)9", "D)5", "E)7" ]
C)9
aqua_rat
7c1807f1-142b-475a-98bb-f59c060d6fe0
Broke’s only source of income comes from his job as a question writer. In this capacity, Broke earns a flat salary of $200 per week plus a fee of $9 for every question that he writes. Every year, Broke takes exactly two weeks of unpaid vacation to visit his uncle, a monk in Tibet, and get inspired for the next year. If...
[ "A)$22,474", "B)$25,673", "C)$27,318", "D)$28,477", "E)$31,227" ]
D)$28,477
aqua_rat
43918795-cd8c-40df-a02c-ddb9dd7e47d2
From a pack of 52 cards, 1 card is drawn at random. What is the probability that a jack, queen, or king is drawn?
[ "A)1/4", "B)1/12", "C)2/13", "D)3/13", "E)3/26" ]
D)3/13
aqua_rat
2457a5a7-92cb-42f8-bfe9-f0ebb7c6a170
At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number of different possible seating arrangements for the group?
[ "A)5", "B)10", "C)24", "D)32", "E)120" ]
C)24
aqua_rat
974c8857-8513-4b0f-a277-8f8f7e33907b
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 15 pumps work to empty the tank in 1 day?
[ "A)3.5", "B)4.8", "C)5.1", "D)5.2", "E)6.3" ]
A)3.5
aqua_rat
efbd551b-f546-4136-bef6-a6e2d6d8c8f9
Out of four consonants and three vowels, how many words can be made so that each word contains two consonants and three vowels?
[ "A)480", "B)540", "C)600", "D)720", "E)900" ]
D)720
aqua_rat
ec48fd6f-6c45-483c-9157-5b7fa45774d2
Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?
[ "A)1000", "B)3889", "C)8908", "D)3780", "E)2709" ]
A)1000
aqua_rat
405d0b25-c092-42d6-8db4-863fe700278f
The average marks of a class of 40 students is 44 and that of another class of 45 students is 70. Find the average marks of all the students?
[ "A)52.6", "B)52.4", "C)52.1", "D)69.5", "E)52.9" ]
D)69.5
aqua_rat
63b0a062-d780-4e88-87c3-3963c833301e
Of the families in City X in 1956, 25 percent owned a personal computer. The number of families in City X owning a computer in 1960 was 15 percent greater than it was in 1956, and the total number of families in City X was 5 percent greater in 1956 than it was in 1960. what percent of the families in City X owned a per...
[ "A)50%", "B)51.22%", "C)5.26%", "D)7.20%", "E)27.38%" ]
E)27.38%
aqua_rat
00ee427a-bda5-4cea-bc4d-3048cb9acd90
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 8 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is :
[ "A)22", "B)21", "C)88", "D)37", "E)24" ]
E)24
aqua_rat
abba4094-5f77-44e1-af15-e90d17e30b38
The average age of 28 students in a group is 16 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years?
[ "A)45", "B)36", "C)41", "D)51", "E)48" ]
A)45
aqua_rat
9b94ea27-79bf-419a-8932-46852782b2ed
Find the area of a triangle whose sides measure 13 cm, 14 cm and 15 cm.
[ "A)72", "B)21", "C)84", "D)53", "E)18" ]
C)84
aqua_rat
55b01273-230a-4b93-9e10-e67f2f3a03d6
In what ratio should a variety of rice costing Rs. 6 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
[ "A)1/68", "B)62/89", "C)12/68", "D)11/84", "E)5/6" ]
E)5/6
aqua_rat
884c4dc1-ceeb-4169-ad52-9072c6ffcf9e
The average age of the district level hockey team of eleven is 22 years.The average age gets no change when the coach age is also included.what is the age of the coach ?
[ "A)22 yrs.", "B)23 yrs.", "C)25 yrs.", "D)24 yrs.", "E)21 yrs." ]
A)22 yrs.
aqua_rat
96f11552-6854-4d27-84b4-1a337df4932f
Sneh's age is 1/6 th of her father's age. Sneh's father's age will be twice of Vimal's age after 10 years. If Vimal's eighth birthday was celebrated two years before, then what is Sneh's present age?
[ "A)10 years", "B)25 years", "C)35 years", "D)None of these", "E)Cannot be determined" ]
D)None of these
aqua_rat
609aa4aa-e6d8-4197-9cd1-29eb9a2b1452
The wages earned by Robin is 44% more than that earned by Erica. The wages earned by Charles is 60% more than that earned by Erica. How much % is the wages earned by Charles more than that earned by Robin?
[ "A)23%", "B)18.75%", "C)30%", "D)30.55%", "E)100%" ]
D)30.55%
aqua_rat
62000726-b68f-42df-bbd4-bc80cbefd701
Tom was asked how old he was. He replied "In 2 years I will be twice as old as I was five years ago.' How old is he ?
[ "A)11", "B)13", "C)12", "D)15", "E)17" ]
C)12
aqua_rat
7c6d50da-a26a-41a7-b690-216829a70608
The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs. 85 and Rs. 80 respectively.The Sum is :
[ "A)Rs. 1800", "B)Rs. 1450", "C)Rs. 1360", "D)Rs. 6800", "E)None" ]
C)Rs. 1360
aqua_rat
4b531f3c-d846-4f71-85ea-c7add370d452
Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 12 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?
[ "A)60", "B)80", "C)100", "D)120", "E)140" ]
A)60
aqua_rat
f6fd50a9-2c01-46e9-a2e6-9f67587d2087
Consider two statements Statement 1 => If T is an integer and T=2p+1 where p is not an integer. Statement 2 => If Y is an integer and Y=2q where q is not an integer Which of the following correctly specifies the Even/Odd nature of T and Y respectively
[ "A)1) Odd,Even", "B)2) Odd,Odd", "C)3) Even,Odd", "D)4) Even,Even", "E)5) Cannot be determined" ]
E)5) Cannot be determined
aqua_rat
53bb1342-6bdd-47c5-940b-d88574a0a548
The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 36. Find their present ages.
[ "A)20, 28", "B)21, 27", "C)35, 45", "D)35, 55", "E)of these" ]
B)21, 27
aqua_rat
001c0108-daa2-45e1-bf00-fc1d167f8bba
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.42, the number of 25 paisa coins is?
[ "A)31", "B)42", "C)62", "D)72", "E)71" ]
B)42
aqua_rat
c0cfee60-3d30-4459-b4b5-d1504af371a6
A meal cost $ 35.50 adn there was no tax. If the tip was more than 5 pc but less than 8pc of the price, then the total amount paid should be:
[ "A)40-42", "B)39-41", "C)38-40", "D)37-38", "E)36-37" ]
D)37-38
aqua_rat
94395068-74f4-42e4-ba6b-b9215dc4b77d
A box has exactly 100 balls, and each ball is either red, blue, or white. If the box has 12 more blue balls than white balls, and six times as many red balls as blue balls, how many white balls does The box has ?
[ "A)8", "B)10", "C)2", "D)14", "E)16" ]
C)2
aqua_rat
f267f2d9-a460-4bdc-af18-464bdd81d0a7
The dimensions of a field are 16.5 m by 10 m. A pit 10 m long, 5.5 m wide and 4 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field. What will be the rise in the height of field as a result of this operation ?
[ "A)2 m", "B)3 m", "C)1 m", "D)2.5 m", "E)3.5 m" ]
A)2 m
aqua_rat
c3009a23-ad09-4321-afc9-021ced8ef0cf
By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent of solution B. If 500 grams of solution A are mixed with 700 grams of solution B, then liquid X accounts for what percent of the weight of the resulting solution?
[ "A)1.66%", "B)1.96%", "C)10%", "D)15%", "E)19%" ]
A)1.66%
aqua_rat
62f6d333-b101-44dc-804a-18590a615f5b
What is the remainder when 17^200 is divided by 18 ?
[ "A)3", "B)1", "C)2", "D)4", "E)7" ]
B)1
aqua_rat
e27380b2-050a-464d-bce4-1344710335e0
Josh spends a total of $5.5 buying W items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then W may be which of the following?
[ "A)99", "B)100", "C)101", "D)112", "E)113" ]
C)101
aqua_rat
8dacf53f-4584-40fd-8f0e-16bc660e64ba
18800 / 470 / 20
[ "A)1", "B)2", "C)3", "D)4", "E)5" ]
B)2
aqua_rat
636dd74f-eb67-4f0f-99e0-bdf1f88186fe
The three sides of an acute angled triangle (all in cms) are 12, 19 and x. How many integer values can x take?
[ "A)23", "B)22", "C)15", "D)8", "E)7" ]
D)8
aqua_rat
02448787-d77f-4c1d-a92a-9d2320e2b41e
A firm has 3 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner? (Note that two groups are considered different if at least one group member is different.)
[ "A)64", "B)68", "C)72", "D)76", "E)80" ]
A)64
aqua_rat
0b2537e1-8bfe-4967-911e-a5f0954c7c1f
If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 5:7 then find the largest number?
[ "A)34", "B)38", "C)40", "D)42", "E)44" ]
C)40
aqua_rat
9389ada5-ff9d-49a5-8b20-3220d299ea32
Which number is the odd one out? 321 265 143 234 567 890
[ "A)321", "B)142", "C)653", "D)845", "E)658" ]
A)321
aqua_rat
499aeadb-5bec-489f-95b1-fe3c3e0806e8
If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 350, what is the least possible value of n?
[ "A)5", "B)7", "C)12", "D)13", "E)14" ]
B)7
aqua_rat
37033c45-8fe8-462a-b37b-9e8f47ff25b1
A Man can row upstream at 52kmph and downward stream at 12 kmph. Find Man's rate of the current
[ "A)2.8km/hr", "B)52km/hr", "C)20km/hr", "D)50km/hr", "E)6.8km/hr" ]
C)20km/hr
aqua_rat
0ce68d1f-25ae-4e97-bb07-3a08c78cd252
A shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?
[ "A)200", "B)177", "C)188", "D)166", "E)129" ]
A)200
aqua_rat
99c18fbd-8d54-44f2-a116-154c863436d7
A retailer bought a machine at a wholesale price of $108 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price of the machine?
[ "A)81", "B)100", "C)120", "D)135", "E)144" ]
E)144
aqua_rat
a9b56b22-3b93-4359-b2ce-2ba3ad7a5316
A certain office supply store stocks 2 sizes of self-stick notepads, each in 7 colors. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how ...
[ "A)6", "B)8", "C)16", "D)84", "E)92" ]
D)84
aqua_rat
d828b1f9-e77c-430d-871c-a4a3be5a5541
Exactly 3/7 of the people in the room are under the age of 21, and exactly 5/11 of the people in the room are over the age of 65. If the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21?
[ "A)21", "B)35", "C)33", "D)60", "E)65" ]
C)33
aqua_rat
03af6776-93ef-4e32-b30a-18647935c2ea
In a game of billiards, A can give B 10 points in 50 and he can give C 40 points in 50. How many points can B give C in a game of 100?
[ "A)18", "B)27", "C)25", "D)75", "E)17" ]
D)75
aqua_rat
9b5be240-0460-4aa2-aab0-32c48c395217
At the start of an experiment, a certain population consisted of 3 animals. At the end of each month after the start of the experiment, the population size was double its size at the beginning of that month. Which of the following represents the population size at the end of 12 months?
[ "A) 2^3", "B) 3^2", "C) 2(3^10)", "D) 3(2^12)", "E) 3(10^2)" ]
D) 3(2^12)
aqua_rat
f0feed36-c0c5-4511-bb5d-4127d928cd7c
In a recent head-to-head run-off election, 18,000 absentee ballets were cast. 3/7 of the absentee ballets were thrown out and 2/9 of the remaining absentee ballets were cast for Candidate A. How many absentee votes did Candidate B receive?
[ "A)2,000", "B)3,000", "C)6,000", "D)8,000", "E)9,000" ]
D)8,000
aqua_rat
f1959355-1aea-4c91-a869-c412ad4f7441
A marketing survey of Anytown found that the ratio of trucks to sedans to motorcycles was 3:7:2, respectively. Given that there are 9,100 sedans in Anytown, how many motorcycles are there?
[ "A)1260", "B)2600", "C)3600", "D)4200", "E)5200" ]
B)2600
aqua_rat
d8e4a065-ada2-4a22-a48b-4037cd290fe0
in a certain flower shop, which stocks four types of flowers, there are 1/4 as many violets as carnations, and 1/2 as many tulips as violets. If there are equal numbers of roses and tulips, what percent of the flowers in the shop are carnations?
[ "A)60", "B)62", "C)66.66", "D)64", "E)68" ]
C)66.66
aqua_rat
a0c1daab-e20c-4040-b6f8-7cce55ebb959
7 liters of a 22 percent solution of alcohol in water are mixed with 3 liters of an 11 percent alcohol in water solution. What is the percentage of alcohol in the new solution?
[ "A)17.5%", "B)17.8%", "C)18.1%", "D)18.4%", "E)18.7%" ]
E)18.7%
aqua_rat
530f7736-98aa-4a4f-9cf1-a9a830072af2
60 men shake hands with each other. Maximum no of handshakes without cyclic handshakes.
[ "A)190", "B)200", "C)210", "D)1770", "E)230" ]
D)1770
aqua_rat
650fbc89-509a-4d01-8578-6bb31a77dbf1
A zookeeper counted the heads of the animals in a zoo and found it to be 80. When he counted the legs of the animals he found it to be 260. If the zoo had either pigeons or horses, how many horses were there in the zoo?
[ "A)30", "B)40", "C)50", "D)60", "E)70" ]
C)50
aqua_rat
5a90332b-e311-4e17-a330-2fc3d6d1facf
A motorcyclist X drives along a circular fence at a rate of 2 rounds per hour and another motor cyclist Y at a rate of 4 rounds per hour. After how long they will cross each other for the first time?
[ "A)10 min", "B)20 min", "C)30 min", "D)40 min", "E)None of these" ]
C)30 min
aqua_rat
37b65791-0532-4976-9af6-b4c10f474e12
A train is moving at 4/5 of its usual speed. The train is 45 minutes too late. What is the usual time (in hours) for the train to complete the journey?
[ "A)1", "B)1.5", "C)2", "D)2.5", "E)3" ]
E)3
aqua_rat
5a7778b8-e669-4478-8749-7e5fe042685f
If 3 is one solution of the equation x^2 + 3x + k = 10, where k is a constant, what is the other solution?
[ "A) -7", "B) -6", "C) -3", "D) 1", "E) 6" ]
B) -6
aqua_rat
8873d59d-2ca4-4930-ae47-09784f5310d2
The salary of A, B, C, D, E is Rs. 8000, Rs. 5000, Rs. 14000, Rs. 7000, Rs. 9000 per month respectively, then the average salary of A, B, C, D, and E per month is
[ "A)Rs. 7000", "B)Rs. 8000", "C)Rs. 8600", "D)Rs. 9000", "E)None" ]
C)Rs. 8600
aqua_rat
363b208d-3300-4c68-85f2-63d90fe5b84b
If two women starting from same point, walking in the opposite directions with 8km/hr and 7km/hr as average speeds respectively. Then the distance between them after 3 hours is?
[ "A)23", "B)33", "C)43", "D)53", "E)63" ]
C)43
aqua_rat
6eb8452b-1690-4a87-a7a7-db837edf4a31
When positive integer m is divided by positive integer x, the reminder is 7 and when positive integer n is divided by positive integer y, the reminder is 11. Which of the following T is a possible value for x + y? I. 18 II. 19 III. 20
[ "A)I only", "B)II only", "C)T=III only", "D)II and III only", "E)None" ]
C)T=III only
aqua_rat
1cfa93fd-99bb-45b1-8ab5-345a1d427cc6
If |x^2 − 30| = x, which of the following could be the value of x?
[ "A)-6", "B)-5", "C)1", "D)5", "E)15" ]
D)5
aqua_rat
ed731fe1-d628-4d42-9601-903989253d1a
The average of 11 results is 45, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?
[ "A)114", "B)116", "C)117", "D)118", "E)119" ]
A)114
aqua_rat
7f244561-4014-4e24-b835-71d112ac37fd
On a map the distance between two mountains is 312 inches. The actual distance between the mountains is 136 km. Ram is camped at a location that on the map is 25 inch from the base of the mountain. How many km is he from the base of the mountain?
[ "A)10.89", "B)14.81", "C)14.8", "D)14.82", "E)14.12" ]
A)10.89
aqua_rat
cdf555e4-51b0-4863-ba15-732a4f46e408
A project has three test cases. Three teams are formed to study the three different test cases. James is assigned to all three teams. Except for James, each researcher is assigned to exactly one team. If each team has exactly 8 members, then what is the exact number of researchers required?
[ "A)23", "B)22", "C)21", "D)20", "E)19" ]
B)22
aqua_rat
42ebdfff-cae6-48f8-9a24-5508d9e13fc4
A train 110 m long is running with a speed of 82 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)4.5 sec", "E)2 sec" ]
D)4.5 sec
aqua_rat
1041c521-77f3-4c88-ac5f-d795d9a25d43
Average score for Virat Kohli in a series of 10 matches is 38.9 runs. If the average for first six matches comes out to be 42 what is his average in the last 4 matches of the series?
[ "A)34.25", "B)35", "C)33.25", "D)34.25", "E)None of these" ]
A)34.25
aqua_rat
d2ae0c0a-8888-4685-91f4-a95259fd5692
If r, s, and t are three different positive integers whose sum is prime, which of the following statements could be true?
[ "A)Each of r + s, r + t, and s + t is prime.", "B)Each of r + 3, s + 3, and t + 3 is prime.", "C)Each of r, s, and t is prime.", "D)The average (arithmetic mean) of r, s, and t is prime.", "E)r + s = t" ]
C)Each of r, s, and t is prime.
aqua_rat
a6b9a599-1e6c-45d1-84d4-75268b650c88
Two trains are running in opposite directions with the same speed. If the length of each train is 144 m and they cross each other in 12 sec, then the speed of each train is?
[ "A)22", "B)77", "C)36", "D)88", "E)19.2" ]
E)19.2
aqua_rat
a14b2d93-2d75-443d-b9db-c29eaf847656
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
[ "A)2234", "B)3245", "C)3456", "D)4567", "E)5184" ]
E)5184
aqua_rat
63ef8569-54d4-4d0f-b60f-c9112d890c12
A train covers a distance in 50 minutes, if it runs at a speed of 48kmph on an average. Find the speed at which the train must run to reduce the time of journey to 40 minutes.
[ "A)70 km/hr", "B)60 km/hr", "C)10 km/hr", "D)20 km/hr", "E)30 km/hr" ]
B)60 km/hr
aqua_rat
98310b59-44a3-4adb-a31d-23e7eda0e3bf
The positive numbers w, x, y, and z are such that x is 25 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
[ "A)15.2%", "B)16.2%", "C)20.0%", "D)23.2%", "E)24.8%" ]
B)16.2%
aqua_rat
738f4ddc-61f1-4dda-9a96-2ea8991a3b95
You buy a piece of land with an area of √100, how long is one side of the land plot?
[ "A)28", "B)29", "C)10", "D)31", "E)32" ]
C)10
aqua_rat
a979efdc-3dfc-4fdd-9b78-809fbcdca039
A bag has 10 blue balls and 15 black balls. How many black balls must be removed from the bag so that 50 percent of the balls in the bag shall be black?
[ "A)1", "B)2", "C)3", "D)4", "E)5" ]
E)5
aqua_rat
209e6fb2-72df-40c6-a5b2-ca6c8e270da6
Richard traveled the entire 60 miles trip. If he did the first 2 miles of at a constant rate 24 miles per hour and the remaining trip of at a constant rate 48 miles per hour, what is the his average speed, in miles per hour?
[ "A)20mph", "B)24mph", "C)30mph", "D)32mph", "E)55mph" ]
E)55mph
aqua_rat
95d4cb98-eacf-4e9e-92fb-fde1678db522
To be considered for “movie of the year,” a film must appear in at least 1/4 of the top-10-movies lists submitted by the Cinematic Academy’s 770 members. What is the smallest number of top-10 lists a film can appear on and still be considered for “movie of the year”?
[ "A)191", "B)193", "C)195", "D)212", "E)213" ]
B)193
aqua_rat
fc7f4431-3fdd-4967-86dc-f94e107615ff
Calculate how long it will take a swimmer to swim a distance of 8km against the current of a river which flows at 1.4km/hr, given that he can swim in still water at 3km/h
[ "A)20 seconds", "B)3", "C)4", "D)1", "E)5" ]
E)5
aqua_rat
166456ff-4343-4fb6-a526-58f9a150e1dc
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 25 seconds. The speed of the train is:
[ "A)45 km/hr", "B)50 km/hr", "C)95 km/hr", "D)55 km/hr", "E)56 km/hr" ]
C)95 km/hr
aqua_rat
254f3f05-c836-4ea4-bc95-8f96246794ba
One ball will drop from a certain height. The height it will reach after rebounding from the floor is 50 percent of the previous height. The total travel is 225cm when it touches the floor on third time. What is the value of the original height?
[ "A)80cm", "B)90cm", "C)100cm", "D)120cm", "E)130cm" ]
B)90cm
aqua_rat
994d0836-6b1c-4e61-a7cf-e5d50717eb16
A machine can finish a work in 18days and 2nd machine can finish the work in 15days. 2nd machine worked for 10days and left the job. In how many days, 1st machine can finish the remaining work?
[ "A)4days", "B)6days", "C)8days", "D)10days", "E)5days" ]
B)6days
aqua_rat
bc67635e-a65c-450a-bee6-bf7d56c76dae
Find the missing number in the given sequence : 5,10,15,?,?,30,35
[ "A)18 & 28", "B)16 & 22", "C)17 & 23", "D)16 & 24", "E)20 & 25" ]
E)20 & 25
aqua_rat
1c7915e0-7cca-4781-8c27-66739ab5a4e3
Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections W of the 4 items can Amanda make?
[ "A)9", "B)12", "C)14", "D)15", "E)60" ]
E)60
aqua_rat
b289d4d8-0bd0-4a3e-b6ab-f1c79fe927e3
In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, those whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects?
[ "A)19", "B)41", "C)21", "D)57", "E)26" ]
B)41
aqua_rat
fb1501f8-4dc9-4944-a6d5-1d138d32033d
1+1
[ "A)9", "B)8", "C)3", "D)0", "E)2" ]
E)2
aqua_rat
82174ffe-a203-4a1e-b312-61ddcaae04cc
Walking at 5/6 of its usual speed, a train is 10 minutes too late. Find its usual time to cover the journey.
[ "A)50 min", "B)20 min", "C)1 hour", "D)30 min", "E)45 min" ]
A)50 min
aqua_rat
7be07ed0-6c6a-4b54-8c00-d629c0f58b8b
A can do a work in 16 days. A and B can do it in 8 days. How many days can B alone can do the work?
[ "A)1/16", "B)32", "C)16", "D)8", "E)1/8" ]
C)16
aqua_rat
b4a1ce1b-5547-4c6f-949a-cb3e5a51d07b
The cost of a one-family home was $ 120,000 in 1980. In 1988, the price had increased to $ 168,000. What was the percent increase in the cost of the home?
[ "A)60%", "B)50%", "C)55%", "D)40%", "E)33.3%" ]
D)40%
aqua_rat