id
string
question
string
choices
list
answer_key
string
source
string
fb8dd576-ad03-4415-b473-79c51c1ae268
A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 30 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the rem...
[ "A) 7", "B) 8", "C) 12", "D) 3", "E) 15" ]
D) 3
aqua_rat
070ea897-25fe-4a30-a76c-e20626bf05ff
A train crosses a platform of200 m in 15 sec, same train crosses another platform of length 300 m in 20 sec. then find the length of the train?
[ "A)100m", "B)180m", "C)159m", "D)250m", "E)152m" ]
A)100m
aqua_rat
ff0f51e2-b43c-4f8a-8da4-3c2439e0b171
Four boys picked up 30 mangoes .In how many ways can they divide them if all mangoes be identical?
[ "A)4^30", "B)2^30", "C)1^30", "D)3^30", "E)6^30" ]
A)4^30
aqua_rat
a81f3ed7-959a-437d-89e8-724bf141c4d1
John has 6 friends who want to ride in his new car that can accommodate only 5 people at a time (John plus 4 passengers). How many different combinations of 4 passengers can be formed from John's 6 friends?
[ "A)3", "B)8", "C)10", "D)15", "E)20" ]
D)15
aqua_rat
d826a2cb-e305-4e23-b85e-813623eb36cd
The cost price of a radio is Rs.3300 and it was sold for Rs.1230, find the loss %?
[ "A)62.7%", "B)65%", "C)88%", "D)65%", "E)62%" ]
A)62.7%
aqua_rat
9be705f8-ea2e-46f9-8085-8cdeef5604f1
The greatest number of four digits which is divisible by 10, 16, 24 and 80 is:
[ "A)9000", "B)9420", "C)9660", "D)9840", "E)9900" ]
D)9840
aqua_rat
42f650bb-054e-4244-98f6-33959cd24440
Missing number in the series 4 9 20 43 90 ?
[ "A)175", "B)185", "C)190", "D)195", "E)180" ]
B)185
aqua_rat
0fe9ade9-cd4e-4ebc-bc51-bac37bded43d
There are 4 sections with 7 questions each. If three questions are selected from each section, the chance of getting different questions is________
[ "A)23456", "B)45678", "C)42875", "D)40000", "E)16000" ]
C)42875
aqua_rat
144ecada-54ac-4ea3-a63b-55121e5f141f
A trader bought a car at 20% discount on its original price. He sold it at a 70% increase on the price he bought it. What percent of profit did he make on the original price?
[ "A)17%", "B)72%", "C)12%", "D)82%", "E)36%" ]
E)36%
aqua_rat
9a56904a-ed7b-45f5-9777-265c8b7e1842
If a boat is rowed downstream for 50 km in 5 hours and upstream for 24 km in 6 hours, what is the speed of the boat and the river?
[ "A)(7 , 3) km/hr", "B)(7 , 9) km/hr", "C)(3 , 3) km/hr", "D)(7 , 5) km/hr", "E)(7 , 7) km/hr" ]
A)(7 , 3) km/hr
aqua_rat
3c7fd38e-7b65-4c4b-92a6-ebcb62525f42
Arithmetic mean and standard deviation of a certain normal distribution are 11.5 and 1.5. What value is exactly 2 standard deviations less than the mean?
[ "A) 10.5", "B) 11", "C) 11.5", "D) 12", "E) 8.5" ]
E) 8.5
aqua_rat
1d566a40-0574-477f-87d8-d91d085fe28d
If x, y, and z are positive integers and 3x = 5y = 8z, then the least possible value of x + y + z is
[ "A)45", "B)79", "C)50", "D)55", "E)60" ]
B)79
aqua_rat
4bdf895f-08c0-4029-ba64-2c1315ebe91c
The sum of three numbers is 98. The ratio of the first to the second is 2/3, and the ratio of the second to the third is 5/8. The second number is
[ "A)15", "B)20", "C)25", "D)30", "E)32" ]
D)30
aqua_rat
1e64e386-28d8-4aaf-acbe-a96cf33944ef
If there are 200 questions in a 3 hr examination. Among these questions are 100 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems?
[ "A)72 min", "B)62 min", "C)70 min", "D)74 min", "E)120 min" ]
E)120 min
aqua_rat
59143753-abc5-4e99-b2dd-8acb3f619d18
Two trains, each 160 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)26 km/hr", "B)17 km/hr", "C)60 km/hr", "D)77 km/hr", "E)96 km/hr" ]
E)96 km/hr
aqua_rat
a911e328-d981-4d5a-88df-e1918980b4a0
In a group of 6 boys&4 girls a Committee of 4 persons is to be formed. In how many different ways can it be done so that the committee has at least 1girl?
[ "A)110", "B)120", "C)130", "D)195", "E)200" ]
D)195
aqua_rat
e3fdbf94-1820-4028-b044-ab8af51753de
In what time will a train 200 m long cross an electric pole, it its speed be 144 km/hr?
[ "A)2.5 sec", "B)1.9 sec", "C)8.9 sec", "D)6.9 sec", "E)5 sec" ]
E)5 sec
aqua_rat
4d9f7821-76c0-4434-be60-d1f012b3abfa
The L.C.M of two numbers is 2310 and their H.C.F is 30. If one number is 231 the Other is
[ "A)330", "B)300", "C)270", "D)250", "E)350" ]
B)300
aqua_rat
d48d4c7b-19bc-489e-8a4a-634e084e1ef1
In an examination, a student scores 3 marks for every correct answer and loses 2 marks for every wrong answer. If he attempts all 100 questions and secures 300 marks, the number of questions he attempts correctly, is:
[ "A)150", "B)250", "C)400", "D)300", "E)100" ]
E)100
aqua_rat
3e2518ed-a758-4446-aa97-70fbaec28687
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
[ "A)Rs. 3642.40", "B)Rs. 3868.80", "C)Rs. 4216.20", "D)Rs. 4082.40", "E)None of these" ]
D)Rs. 4082.40
aqua_rat
c62e7a35-0a0c-417d-8578-60ec80aa1f80
Two persons start running simultaneously around a circular track of length 400 m from the same point at speeds of 20 km/hr and 30 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
[ "A)28 sec", "B)37 sec", "C)21.6 sec", "D)23 sec", "E)27 sec" ]
C)21.6 sec
aqua_rat
93abcf15-3720-4579-85cd-66bcb17451cd
405 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child receive?
[ "A)7", "B)9", "C)18", "D)45", "E)None of these" ]
B)9
aqua_rat
35b7f98d-75da-44f6-88a7-e19c326a8b9f
In the equation x^2+kx+1=0, x is a variable and k is a constant. If the quadratic equation has two distinct real roots, which of the following could be true? I) k=0 II) k=−1 III) k=−3
[ "A)I only", "B)III only", "C)I and II only", "D)II and III only", "E)I and III only" ]
B)III only
aqua_rat
a81b2b47-427b-47df-be87-7856c4a141f3
When 200 is divided by positive integer x, the remainder is 2. What is the remainder when 398 is divided by x?
[ "A)2", "B)3", "C)4", "D)6", "E)8" ]
A)2
aqua_rat
9c97e29f-b168-42d7-b956-4588adc35c90
A certain company has records stored with a record storage firm in 15-inch by 12-inch by 10-inch boxes. The boxes occupy 1.08 million cubic inches of space. If the company pays $0.5 per box per month for the record storage, what is the total amount that the company pays each month for record storage?
[ "A)a. 150", "B)b. 300", "C)c. 600", "D)d. 1,200", "E)e. 2,400" ]
B)b. 300
aqua_rat
df12ebde-af1f-4cc4-b694-d225f28a0bf8
A group of students was interviewed for that if it was asked whether or not they speak Spanish and / or English. Among those who speak Spanish, 15 speak English well, while 45 of them do not speak English. If 70% of students do not speak Spanish, how many students were surveyed?
[ "A)200", "B)220", "C)230", "D)210", "E)215" ]
A)200
aqua_rat
1f048bdb-5efe-476c-95e3-f2e916b4e866
Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 2 hours?
[ "A)2.4.", "B)3.2.", "C)4.2.", "D)5.5.", "E)6.4" ]
B)3.2.
aqua_rat
defe62aa-0380-4b9b-b434-c5015acc1689
Which of the following represents the profit from the investment of x dollars at n percent compound annual interest for 6 years?
[ "A)5x (1+n/100)^5 - x", "B)6x (1+n/100)^4 - x", "C)x (1+n/100)^6 - x", "D)2x (1+n/100)^7 - x", "E)4x (1+n/100)^8 - x" ]
C)x (1+n/100)^6 - x
aqua_rat
1c7e88fb-3d51-40fe-b4ae-f04b1e3f6aa2
If 140/x is an integer and 108/x is an integer, which of the following must be true? I. 9/x is an integer II. 12/x is an integer III. 36/x is an integer
[ "A)I only", "B)III only", "C)I and II only", "D)II and III only", "E)I, II and III" ]
E)I, II and III
aqua_rat
159e159e-b1e1-41cb-94f6-f02e7dda49e8
The current in a river is 6 mph. A boat can travel 20 mph in still water. How far up the river can the boat travel if the round trip is to take 10 hours?
[ "A)69 miles", "B)88 miles", "C)96 miles", "D)91 miles", "E)112 miles" ]
D)91 miles
aqua_rat
16d2daae-c628-4ff4-9953-2290c98b32d0
How many minutes will it take for a car that is traveling at a constant rate of 9 miles per hour to travel a distance of 106 yards? (1 mile = 1,160 yards)
[ "A)2", "B)5", "C)4", "D)3.61", "E)4.3" ]
D)3.61
aqua_rat
053ee4f6-9da9-4abf-8c7b-023992a8a156
A train passes a station platform in 30 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)200", "B)220", "C)240", "D)150", "E)260" ]
D)150
aqua_rat
ccf5f12b-a3b3-448b-985f-11f61304646e
Two tracks are parallel. The first track has 6 checkpoints and the second one has 10 checkpoints. In how many ways can the 6 checkpoints of first track be joined with the 10 checkpoints of the second to form a triangle?
[ "A)120", "B)150", "C)200", "D)270", "E)420" ]
E)420
aqua_rat
3d86eb0a-a3f3-45ce-bb0d-ce6db6b2f956
Seller selling an apple for Rs.20, a Seller loses 1/6th of what it costs him. The CP of the apple is?
[ "A)10", "B)12", "C)21", "D)18", "E)20" ]
C)21
aqua_rat
56d114e9-d592-40f9-83c1-83d4653ad968
Sixty five percent of a number is 21 less than four fifth of that number. What is the number ?
[ "A)240", "B)140", "C)230", "D)130", "E)125" ]
B)140
aqua_rat
bc061559-d41a-4492-8ff0-d9b8f055befd
4.509/10.02 =
[ "A) 0.45", "B) 0.3505", "C) 0.3509", "D) 0.351", "E) 0.3527" ]
A) 0.45
aqua_rat
cb736f57-9cf3-4ccd-b826-52bccdbe8ef9
An 80-liter solution of cool-drink is made from 10% jasmine water. If 8 liters of jasmine and 12 liters of water were added to the solution, what percent of the solution is jasmine?
[ "A)12%", "B)14%", "C)16%", "D)18%", "E)20%" ]
C)16%
aqua_rat
7e8f4aaa-cfa1-4208-a417-b2ed8a39af6f
The ratio of two numbers is 2 : 3 and their H.C.F. is 6. Their L.C.M. is
[ "A)48", "B)22", "C)36", "D)27", "E)67" ]
C)36
aqua_rat
e3782df5-bbca-440b-937a-eef7cf12a7cc
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
[ "A)30/83 hours", "B)80/13 hours", "C)30/19 hours", "D)30/13 hours", "E)31/13 hours" ]
D)30/13 hours
aqua_rat
940adc65-ab64-4fa4-8b85-9b3b9512ca73
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)200 %", "B)75 %", "C)150 %", "D)50 %", "E)70%" ]
E)70%
aqua_rat
284220bd-ddf9-466a-8b54-4241bdc8bbd2
If the sum of the first n positive integers is x, then which of the following is the sum of the first 2n even positive integers?
[ "A)2x + 2n^2", "B)3x + 4n^2", "C)4x + 2n", "D)4x + n^2", "E)4x + 2n^2" ]
E)4x + 2n^2
aqua_rat
c8d142a2-d1c0-468f-8cbb-80a14f1d2e23
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
[ "A)7", "B)8.2", "C)2", "D)10.8", "E)11.2" ]
D)10.8
aqua_rat
ff401457-4aaf-4987-aa94-467346005645
A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone.
[ "A)6 ½ days", "B)1 ½ days", "C)8 ½ days", "D)5 ½ days", "E)2 ½ days" ]
B)1 ½ days
aqua_rat
3e740985-a286-479a-b01e-90e5f61866c3
If x ≠ 0 and x - (2- x^2)/x = y/x, then y =
[ "A)− 2 − 3x^2", "B)x^2 − 2", "C)2x^2 − 2", "D)x − 2 − x^2", "E)x − 2 + x^2" ]
C)2x^2 − 2
aqua_rat
88e5b569-57fe-4575-82c9-0e9475c0a522
If takes 25.5 minutes to download a file using Modem A. Modem B work at 17% of the speed of Modem A. How long does it take to download a file using a Modem B?
[ "A)130 minutes", "B)140 minutes", "C)150 minutes", "D)160 minutes", "E)170 minutes" ]
C)150 minutes
aqua_rat
4694fbc1-9870-4274-8030-d4352d817768
If the selling price of 5 books is same as the cost price of 10 books. Find the gain or loss percentage?
[ "A)50%", "B)100%", "C)45%", "D)55%", "E)65%" ]
B)100%
aqua_rat
11c30fed-38aa-444b-81f1-d2bb529b5946
Two trains of equal length, running with the speeds of 50 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
[ "A)5.55 sec", "B)4.55 sec", "C)5.95 sec", "D)6.55 sec", "E)9.55 sec" ]
A)5.55 sec
aqua_rat
ac47b027-6eed-450f-98aa-5ef5a00a9500
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is:
[ "A)22", "B)28", "C)32", "D)48", "E)92" ]
A)22
aqua_rat
4f04c394-e398-48e7-ae51-97d1a9f0260d
if b is a positive integer greater than 8, which of the following must be divisible by 4?
[ "A) b(b-1)(b+2)(b+3)", "B) b(b-1)(b+3)(b+4)", "C) b(b-3)(b+2)(b+4)", "D) b(b-3)(b+2)(b+3)", "E) b(b+1)(b+3)(b+4)" ]
D) b(b-3)(b+2)(b+3)
aqua_rat
463cfe7d-026e-4b94-b836-effc4c627cdd
The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
[ "A)44%", "B)46%", "C)48%", "D)50%", "E)51%" ]
A)44%
aqua_rat
6055833f-13ff-43a9-a36f-2c0e2249807f
3,9,27,81,....
[ "A)583", "B)604", "C)616", "D)243", "E)636" ]
D)243
aqua_rat
fdd70bec-ab6b-4e42-b85e-c5126e5a9bae
A student scored an average of 80 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics?
[ "A)21", "B)27", "C)26", "D)80", "E)28" ]
D)80
aqua_rat
955a3740-542b-4de8-a08b-fa32a64fb524
A group of college friends plan to rent a house together for x dollars per month, which is to be shared equally among them. If five, rather than six people rent the house together, how many more dollars, in terms of x, will each person have to pay for rent per month?
[ "A)x/15", "B)x/30", "C)x/6", "D)x/5", "E)5x/6" ]
B)x/30
aqua_rat
8bfbf4ae-7107-4f11-8f56-962067adac7c
If P represents the product of the first 13 positive integers, which of the following must be true? I. P is an even number II. P is a multiple of 6 III. P is a multiple of 24
[ "A)I only", "B)II only", "C)III only", "D)None of the above", "E)All of the above" ]
E)All of the above
aqua_rat
1ccfed20-86ae-4491-acb9-0964c2c3da3b
The price of 5 kilograms of premium fertilizer is the same as the price of 8 kilograms of regular fertilizer. If the price of premium fertilizer is y cents per kilogram more than the price of regular fertilizer, what is the price, in cents, per kilogram of premium fertilizer?
[ "A)y/30", "B)5/6*y", "C)6/5*y", "D)5y", "E)8y/3" ]
E)8y/3
aqua_rat
7786c170-ba32-45b5-9bad-e366d59c4e51
s(n) is a n-digit number formed by attaching the first n perfect squares, in order, into one integer. For example, s(1) = 1, s(2) = 14, s(3) = 149, s(4) = 14916, s(5) = 1491625, etc. How many digits Q are in s(99)?
[ "A)Q=350", "B)Q=353", "C)Q=354", "D)Q=356", "E)357" ]
B)Q=353
aqua_rat
8627ee17-85a2-4de6-a061-e8b203ea0fe7
If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
[ "A)20:15:16", "B)20:15:68", "C)20:15:12", "D)20:15:11", "E)20:15:19" ]
C)20:15:12
aqua_rat
63f54234-9b90-4fcc-be9c-c8f819b66298
A pizzeria in Castroville creates its own special blend of shredded cheese at a cost of $696.05 per kilogram. The blend includes Mozzarella, at $504.35 per kilogram, and Romano cheese, at $887.75 per kilogram. If the employees have already shredded 19 kilograms of Mozzarella cheese, how many kilograms of Romano cheese ...
[ "A)19kg", "B)13kg", "C)10kg", "D)23kg", "E)15kg" ]
A)19kg
aqua_rat
a8c20c9d-5a13-4754-8688-e768091bbdff
A sum of money becomes triple itself in 16 years. In how many years will it become 5 times at the same rate?
[ "A)32", "B)15", "C)27", "D)30", "E)35" ]
A)32
aqua_rat
9528e0a4-b439-4e02-b755-3d15fbd1e7a5
How many positive integers less than 50 are multiples of 6 but NOT multiples of 8?
[ "A)4", "B)6", "C)8", "D)10", "E)12" ]
B)6
aqua_rat
07906618-b2f1-4fef-b01a-67b88af38061
Find the area of the quadrilateral of one of its diagonals is 30 cm and its off sets 10 cm and 6 cm?
[ "A)189 cm2", "B)150 cm2", "C)240 cm2", "D)177 cm2", "E)187 cm2" ]
C)240 cm2
aqua_rat
d0949d77-935c-4bfb-b77b-afd225015cd3
A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is? A. 31 B. 41 C. 51 D. 61
[ "A)31", "B)41", "C)51", "D)61", "E)71" ]
A)31
aqua_rat
1660a66b-bc97-4c4d-b166-c5d562588233
Which of the following is the sum of all the even numbers between 1 and 93, inclusive?
[ "A)2550", "B)2450", "C)2600", "D)2447", "E)2652" ]
D)2447
aqua_rat
34ce744a-3eb5-4f5a-90ef-352999991980
A cube is divided into 216 identical cubelets. Each cut is made parallel to some surface of the cube. But before doing that, the cube is painted with green on one set of opposite faces, red on another set of opposite faces, and blue on the third set of opposite faces. How many cubelets are painted with exactly one colo...
[ "A)72", "B)84", "C)96", "D)108", "E)120" ]
C)96
aqua_rat
b477f5df-df08-4e0f-8615-d719982a607b
A man engaged a servant on the condition that he would pay him Rs.710 and a uniform after a year service. He served only for 8 months and got Rs.460 and a uniform. Find the price of the uniform?
[ "A)Rs.40", "B)Rs.30", "C)Rs.25", "D)Rs.20", "E)Rs.45" ]
A)Rs.40
aqua_rat
42c91d7c-18fd-450d-a97e-136866edffd4
Tanya prepared 4 different letters to 3 different addresses. For each letter, she prepared one envelope with its correct address. If the 4 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?
[ "A)1/24", "B)1/8", "C)1/4", "D)1/3", "E)3/8" ]
C)1/4
aqua_rat
fb24ca7c-6398-49e4-bc35-b1e879e8fd93
Set R has a mean of 11 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most?
[ "A){15, 13}", "B){11, 14}", "C){10, 12}", "D){14, 19}", "E){14, 11}" ]
C){10, 12}
aqua_rat
e80ccc14-6d47-487c-a365-2681da0e3283
There are 9 orators A, B, C, D, E, F, G,H and I. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.
[ "A)9! / 3!", "B)8! / 6!", "C)5! x 3!", "D)8! / (5! x 3!)", "E)8! / (5! x 4!)" ]
A)9! / 3!
aqua_rat
48043aba-55b6-4f8b-8409-36c8e2ad5e26
A circular rim A having a diameter of 24 inches is rotating at the rate of x inches/min. Another circular rim B with a diameter of 30 inches is rotating at the rate of y inches/min. What is the value of y in terms of x, if both the rims reach their starting positions at the same time after every rotation.
[ "A)5x/4", "B)4x/3", "C)6x/5", "D)8x/7", "E)9x/8" ]
A)5x/4
aqua_rat
fc8870b8-13f2-4e56-831f-fcb7afe27171
What is the value of 1×1!+2×2!+3!×3!+............n×n!;where n! means n factorial or n(n−1)(n−2)...1
[ "A)n(n−1)(n−1)!", "B)n(n−1)(n−1)!", "C)n(n−1)(n−1)!", "D)(n+1)!−1!", "E)None of these" ]
D)(n+1)!−1!
aqua_rat
26431902-f8af-4179-9305-65c559d86d31
Fortuner, the latest SUV by Toyota Motors, consumes diesel at the rate of 1400×[1000x+x]1400×[1000x+x] litres per km, when driven at the speed of xx km per hour. If the cost of diesel is Rs 35 per litre and the driver is paid at the rate of Rs 125 per hour then find the approximate optimal speed (in km per hour) of For...
[ "A)30 km per hour", "B)32 km per hour", "C)49 km per hour", "D)54 km per hour", "E)65 km per hour" ]
C)49 km per hour
aqua_rat
5821a93b-4851-4c98-9b4a-d82c67c2464c
The ratio of two numbers is 3:4 and their sum is 21. The greater of the two numbers is?
[ "A)12", "B)14", "C)16", "D)17", "E)19" ]
A)12
aqua_rat
41462be4-ef61-49c3-96d7-1084425d4347
A plane flies 880 km with the wind and 720 km against the wind in the same length of time. If the speed of the wind is 20 km/h, what is the speed of the plane in still air?
[ "A)140 km/h", "B)160 km/h", "C)180 km/h", "D)200 km/h", "E)220 km/h" ]
D)200 km/h
aqua_rat
386559b4-2552-46cb-9413-02b02c9903ab
Two trains, each 100 meters long, moving in opposite directions, completely pass each other in 24 seconds. If one train is moving twice as fast the other, then what is the speed of the faster train (in km/hr)?
[ "A)12 km/hr", "B)16 km/hr", "C)20 km/hr", "D)24 km/hr", "E)28 km/hr" ]
C)20 km/hr
aqua_rat
6009f153-8179-40bb-9b48-e3f1619c4e90
We can rent a cabin for x dollars per day for the first 5 days and then y dollars for each additional day. How much will it cost to rent a cabin for z days, where z>5?
[ "A)5x + zy", "B)5y+(z-5)x", "C)xz + 5y", "D)5x - z + y", "E)5x+(z-5)y" ]
E)5x+(z-5)y
aqua_rat
39acf376-cf5a-4221-812e-942e41e8d1d2
If 4a – 2b – 2c = 32 and √3a-√(2b+2c)=4, what is the value of a + b + c?
[ "A)3", "B)9", "C)10", "D)12", "E)14" ]
D)12
aqua_rat
8f0b1ca0-d562-40fb-a734-d424976567dd
By selling a book for 290, 20% profit was earned. What is the cost price of the book?
[ "A)A)215", "B)B)241", "C)C)230", "D)D)235", "E)E)240" ]
B)B)241
aqua_rat
68376530-723e-438b-bb60-dee022880135
One year payment to the servant is Rs. 200 plus one shirt. The servant leaves after 9 months and receives Rs. 120 and a shirt.Then find the price of the shirt.
[ "A)126", "B)217", "C)127", "D)120", "E)182" ]
D)120
aqua_rat
8eee0ec6-efa8-441c-a0c3-816b3dd2f523
Three friends Ram, Rahul and Raj divide $1000 amongs them in such a way that if $1, $2 and $8 are removed from the sums that Ram, Rahul and Raj received respectively, then the share of the sums that they got will be in the ratio of 6 : 7 : 10. How much did Raj receive?
[ "A)$434", "B)$458", "C)$438", "D)$448", "E)$478" ]
C)$438
aqua_rat
36dc61c2-1585-48ea-9fb3-47c0854e416c
What is the smallest possible common multiple of three integers, all larger than 22?
[ "A)27.", "B)54.", "C)846.", "D)19,656.", "E)23" ]
E)23
aqua_rat
2790cc44-adb3-4a5c-8950-78eeb0864fc7
The annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years R in which the population would be doubled assuming there is no emigration or immigration is
[ "A)20", "B)R=25", "C)R=30", "D)R=35", "E)40" ]
D)R=35
aqua_rat
20ea1285-fb8d-4285-8d04-577cf73060e4
If Jan 1, 2006 was a Friday, What was the day of the week Jan 1, 2010?
[ "A)Friday", "B)Thursday", "C)Tuesday", "D)Saturday", "E)Wednesday" ]
E)Wednesday
aqua_rat
274fbe1e-2dc9-4091-8c74-54b57e76ec7b
A 6-liter solution is 35% alcohol. How many liters of pure alcohol must be added to produce a solution that is 50% alcohol?
[ "A)1.5", "B)1.8", "C)2.1", "D)2.4", "E)2.7" ]
B)1.8
aqua_rat
dd08329c-9557-4136-8c59-c89ee3e28f44
At what rate of interest (compounded yearly)will Rs.10,000 amount to Rs.12100 in 2 years?
[ "A)9%", "B)11%", "C)8%", "D)10%", "E)20%" ]
D)10%
aqua_rat
cfd568ed-fdab-4d60-8ad7-70e78faaeb4b
A thief is spotted by a policeman from a distance of 160 meters. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken?
[ "A)350m", "B)240m", "C)440m", "D)640m", "E)None of them" ]
D)640m
aqua_rat
216bfa89-0174-4119-b642-092c8981849f
A watch passes through three hands and each gains 25%. If the 3rd sells it for Rs250, what did the 1st pay for it?
[ "A)110", "B)120", "C)128", "D)134", "E)154" ]
C)128
aqua_rat
3d8eb205-410a-4b70-b9e1-7c85083c5a0e
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
[ "A)22", "B)77", "C)30", "D)99", "E)12" ]
C)30
aqua_rat
e8217789-5fbb-435f-8a49-0e20d77ede83
((1^5m)/(5^5m))((1^18)/(4^18)) = 1/(2(10)^35) What is m?
[ "A)7", "B)18", "C)34", "D)35", "E)36" ]
A)7
aqua_rat
f81b69c6-1077-4c29-993b-5303c79f361c
Mary's income is 40 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?
[ "A) 124%", "B) 120%", "C) 96%", "D) 80%", "E) 84%" ]
E) 84%
aqua_rat
94bf0758-19f5-4952-9098-818040072a16
What strength of 20 ml alcohol should be added to 10ml of 50% alcohol to get an average strength of 20% alcohol.
[ "A)0.5 %", "B)5 %", "C)50 %", "D)5.5 %", "E)0.05 %" ]
B)5 %
aqua_rat
9681837e-ad6b-440b-a71c-a077b6af050b
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
[ "A)2800", "B)2700", "C)2900", "D)2200", "E)2300" ]
B)2700
aqua_rat
5673ffbd-e0fc-4113-98f1-8ed8147a4779
How much is 80% of 45 is greater than 4/5 of 25?
[ "A)15", "B)57", "C)16", "D)16", "E)73" ]
C)16
aqua_rat
71349bc0-232c-450b-bce1-b7364398ae44
A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.695 in all. Find the share of B?
[ "A)130", "B)120", "C)218", "D)144", "E)145" ]
D)144
aqua_rat
f78c96ca-125e-4a3d-a23d-7eeee3cab5cd
A train having a length of 240 m passes a post in 24 seconds. How long will it take to pass a platform having a length of 630 m?
[ "A)120 sec", "B)99 sec", "C)89 sec", "D)87 sec", "E)85 sec" ]
D)87 sec
aqua_rat
75796b31-362a-4eca-93f9-a2567fb1af41
In the coordinate plane, a circle centered on point (-3, 4) passes through point (1, 1). What is the area of the circle?
[ "A)9π", "B)18π", "C)25π", "D)37π", "E)41π" ]
C)25π
aqua_rat
527841d7-b5eb-4862-85d5-c86adbaadcd1
A coin is tossed two times. What is the probability that there is at the least one tail?
[ "A)3/4", "B)1/3", "C)3/7", "D)3/5", "E)1/31" ]
A)3/4
aqua_rat
48feab71-0b12-4b1a-973d-97e67ad51c4e
Two-third of a positive number and 144/216 of its reciprocal are equal. The number is:
[ "A)5/12", "B)12/5", "C)25/144", "D)144/25", "E)1" ]
E)1
aqua_rat
9614b655-9f96-4adc-921b-0478566bd2da
A son and father goes for boating in river upstream . After rowing for 1 mile son notices the hat of his father falling in the river. After 5 min he tells his father that his hat has fallen. So they turn round and are able to pick the hat at the point from where they began boating after 5min. Find the speed of river in...
[ "A)7 mile/hr", "B)6 mile/hr", "C)8 mile/hr", "D)1 mile/hr", "E)2 mile/hr" ]
B)6 mile/hr
aqua_rat
523a1da3-ce8f-45a4-b703-f6fca3887747
The balance of a trader weighs 20% less than it should. Still the trader marks up his goods to get an overall profit of 30%. What is the mark up on the cost price?
[ "A)4%", "B)8%", "C)25%", "D)16.66%", "E)9%" ]
A)4%
aqua_rat
44c74e23-f7ec-4704-9c5f-fe7d59418da7
A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 310 m long?
[ "A)34 Seconds", "B)22 Seconds", "C)41 Seconds", "D)24 Seconds", "E)27 Seconds" ]
E)27 Seconds
aqua_rat