id
string
question
string
choices
list
answer_key
string
source
string
2b22de6f-d120-476d-a744-21d2f40c0d95
Which of the following is always true for any real number 'a' and 'b'?
[ "A)|ab| = |a||b|", "B)|a/b| = |a|/|b|", "C)|-ab| < |a||b|", "D)|ab| > |a/b|", "E)|ab| = -|ab|" ]
A)|ab| = |a||b|
aqua_rat
cb6b9ff3-a312-4ffb-880f-6f7505e3b0d8
The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
[ "A)8981", "B)3799", "C)1200", "D)2693", "E)1732" ]
C)1200
aqua_rat
b4f6ad54-85d6-4435-a8f8-e8740c56cdaf
How many ounces of a 60% salt solution must be added to 70 ounces of a 20 percent salt solution so that the resulting mixture is 40% salt?
[ "A)16.67", "B)30", "C)50", "D)60.33", "E)70" ]
E)70
aqua_rat
7fd97f30-3919-4604-9a55-87df7a3673e7
A field is 90 metre long and 50 metre broad. A 25 metre long, 20 metre broad and 4 metre deep tank dug in the field and the earth taken out is spread evenly over the remaining field. How much the level of field will rise?
[ "A)0.5 metre", "B)0.3 metre", "C)0.8 metre", "D)0.6 metre", "E)0.7 metre" ]
A)0.5 metre
aqua_rat
785eb406-44b7-425b-b9ed-9de818c90ee3
A shopkeeper purchased 70 kg of potatoes for Rs.420 and sold the whole lot at the rate of Rs 6.50 per kg .What will be his gain percent?
[ "A)8 1/9", "B)8 1/1", "C)8 1/3", "D)8 1/7", "E)8 1/4" ]
C)8 1/3
aqua_rat
0b851b1b-ae13-4f5b-9852-9cc59846756b
Perimeter of rhombus is equal to perimeter of circle. Longest distance between two points in rhombus is 80. Area of rhombus is 2400 cm^2. Find area of circle. Options: 10000, 62500, 2500, one more I don't Remember.
[ "A)3284.28678", "B)3184.28678", "C)3084.28678", "D)4184.28678", "E)2184.28678" ]
B)3184.28678
aqua_rat
94497d04-d17e-47f2-b96f-757e79727615
The simple interest at y% for y years will be $y on a sum of
[ "A)$ (1000)/x", "B)$(100)x^2", "C)$ x", "D)$ (100)/y", "E)$ 100x" ]
D)$ (100)/y
aqua_rat
a71eb06f-d3c3-41fb-84e0-34fd4cf1600e
The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?
[ "A)6 2/3%", "B)6 2/8%", "C)6 7/3%", "D)9 2/3%", "E)6 2/5%" ]
A)6 2/3%
aqua_rat
1b3d7d04-584f-4b4e-9f58-68fb1cb387b6
If 20 men take 15 days to to complete a job, in how many days can 20 men finish that work?
[ "A)15", "B)16", "C)17", "D)18", "E)19" ]
A)15
aqua_rat
3a483a2e-8226-4383-8686-54e88f48cf8e
When a number is divided by 3 &then multiply by 12 the answer is 9 what is the no.?
[ "A)4.5", "B)5", "C)2.25", "D)5.7", "E)6.5" ]
C)2.25
aqua_rat
d6589ffa-7f0c-434e-ab8a-5757b8a446ce
Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:
[ "A)17523", "B)2788", "C)1750", "D)2787", "E)29899" ]
C)1750
aqua_rat
7e4763f7-8be9-4cc3-b9e5-4295fe44929c
A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x βˆ’ 5)%. In terms of x, how many species of bacteria will the group be able to model?
[ "A)x*x – 5x", "B)(x)(105 – x)", "C)(100)(105 – x)", "D)(100)(95 – x)", "E)(x-5)/100" ]
B)(x)(105 – x)
aqua_rat
0fc2369c-dab3-4fe5-9e1d-bd2bb895fa56
5, -28, 2, -31....
[ "A)1", "B)3", "C)2", "D)4", "E)5" ]
A)1
aqua_rat
23740963-eb7f-4f37-9c48-d1a7e4e3dca8
A certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the first 5 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B?
[ "A)2", "B)9", "C)15", "D)21", "E)30" ]
C)15
aqua_rat
1b1d809b-0b82-45b5-9e5f-8b4b06a18922
Two trains one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 4 hours and 9 hours respectively. The ratio of their speeds is
[ "A)3 : 2", "B)4 : 3", "C)4 : 7", "D)8 : 5", "E)None" ]
A)3 : 2
aqua_rat
f5c15316-b0a9-415c-9da8-482619b7543a
father is aged three times more than his son ronit. after 8 years, he would be two and half times if ronit's age. after further 8 years , how many times would he be of ronit's age?
[ "A)2 times", "B)2.5 times", "C)3 times", "D)3.8 times", "E)4 times" ]
A)2 times
aqua_rat
35105aec-d2a9-4f3c-9c61-31ae30d52915
What is the perimeter, in meters, of a rectangular garden 16 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?
[ "A)48", "B)56", "C)60", "D)56", "E)192" ]
D)56
aqua_rat
6733da3a-3d4e-498e-851a-f13f4f68a89f
To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. Find how many parts the company made and how many days this took.
[ "A)600", "B)500", "C)575", "D)655", "E)675" ]
E)675
aqua_rat
d281ea1a-d801-4bde-be53-19c7170967d4
In how many ways, a committee of 5 members can be selected from 6 men and 5 ladies, consisting of 3 men and 2 ladies?
[ "A)451", "B)124", "C)531", "D)145", "E)200" ]
E)200
aqua_rat
7af7c65c-cc94-4e07-b3bf-c2fa086b7f03
For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when m is even. What is [9]*[4] equivalent to?
[ "A)[108]", "B)[54]", "C)[36]", "D)[27]", "E)[18]" ]
A)[108]
aqua_rat
f833d32a-42f5-4b82-b1f9-7545597c5fed
A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 890 in 4 years. The rate of interest per annum is?
[ "A)2 1/2 %", "B)4%", "C)5%", "D)6 2/3 %", "E)11 1/4%" ]
E)11 1/4%
aqua_rat
1ec39312-a32c-4f3a-bf87-f2589c7ce488
X Y +Y X ________ The sum of the two digit numbers above is a three digit number PQ1, where each letter X, Y, P, and Q represents a different non zero digit. Which of the following can be the value of X? I) 7 II) 8 III) 9
[ "A)I only", "B)II only", "C)III only", "D)I and II only", "E)all I , II and III" ]
E)all I , II and III
aqua_rat
7a2ed857-87a8-457a-ba75-4cacb685aabe
What is the probability that a leap year has 53 Sundays and 52 Mondays?
[ "A)1/9", "B)1/8", "C)1/3", "D)1/7", "E)1/2" ]
D)1/7
aqua_rat
3c13a5c5-62d0-41a0-ae83-3acddfa8e0c7
Machine Z can produce x units in 3/4 of the time it takes machine N to produce x units. Machine N can produce x units in 2/3 the time it takes machine O to produce x units. If all three machines are working simultaneously, what fraction of the total output is produced by machine N?
[ "A) 1/2", "B) 1/3", "C) 4/13", "D) 8/29", "E) 6/33" ]
C) 4/13
aqua_rat
196d05f1-f5ac-4dea-8e38-180d228965a0
If cement, gravel and sand are to be mixed in 7:10:13 and 7 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available.
[ "A)35 7/8", "B)30", "C)34 2/7", "D)34 5/7", "E)34 6/7" ]
B)30
aqua_rat
ac4d1898-2a9a-4618-8894-a7242ccdc2de
If the cost price is 90% of the selling price, then what is the profit percent?
[ "A)5%", "B)11%", "C)13%", "D)21%", "E)19%" ]
B)11%
aqua_rat
05da6a29-d9a0-4b07-b577-3f1c010ba6a3
If w and y are positive integer and w/y is an even integer, which of the following can be an odd integer?
[ "A)x", "B)xy", "C)xβˆ’y", "D)x+2y", "E)w/3" ]
E)w/3
aqua_rat
4e2598b2-d4ea-47f0-8419-be2329ccde27
Which of the following is equal to 3.14 x 10^6) ?
[ "A)3.14", "B)3140000", "C)31400", "D)314", "E)314000" ]
B)3140000
aqua_rat
075f5122-f60a-4a51-8cf0-c409fcdcf615
9 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days?
[ "A)19 days", "B)18 days", "C)12 days", "D)27 days", "E)26 days" ]
C)12 days
aqua_rat
b8051ba3-9086-4647-b7ee-d071e18e2c86
A box contains 10 tablets of medicine A and 17 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.
[ "A)12", "B)15", "C)17", "D)19", "E)21" ]
D)19
aqua_rat
e06c0f6b-1d4e-4e2e-812d-c643ecdb269f
Which is better investment 11% stock at 143 or 9 ¾% stock at 117
[ "A)11 % stock at 143", "B)9 3/4 stock at 117", "C)both", "D)cannot be compared", "E)none of these" ]
B)9 3/4 stock at 117
aqua_rat
4be7be47-18d2-4c2c-9e98-c3d2eb92074c
96% of the population of a village is 23040. The total population of the village is?
[ "A)26799", "B)24000", "C)26682", "D)29973", "E)12312" ]
B)24000
aqua_rat
27b73ae6-a676-4ee5-b258-bcd7cdfd62d9
Simplify:935421 x 625
[ "A)594983125", "B)584932715", "C)584938125", "D)584638125", "E)584641258" ]
D)584638125
aqua_rat
5c1b073f-5a6a-445e-980c-7b2947a630f2
1. Internet: $80, with no sales tax, plus $10 shipping fee 2. Store X: $90, a 10% discount, plus 10% tax on discounted price 3. Store Y: $90, no tax 4. Store Z: $90, a 10% sales tax, and $10 rebate after tax Isaac can purchase a certain item in four different ways, as shown in the table. What is the lowest price for which he can purchase this item?
[ "A)88.1", "B)89.0", "C)89.1", "D)89.50", "E)90.0" ]
B)89.0
aqua_rat
ad793ba3-cb84-437b-93b4-17ed12b00388
3 men and 8 women complete a task in same time as 6 men and 2 women do. How much fraction of work will be finished in same time if 2 men and 3 women will do that task.
[ "A)1/2", "B)1/10", "C)1/18", "D)1/16", "E)1/11" ]
A)1/2
aqua_rat
f4174504-105b-49df-8d9d-809de26073ab
There are 10 cans in the refrigerator. 5 of them are red and 5 of them are blue. In how many ways we can remove 8 cans so that at least one red and at least one blue cans to remain the refrigerator.
[ "A)410", "B)490", "C)493", "D)455", "E)445" ]
A)410
aqua_rat
6b6c70c0-0a4a-4f93-a4be-7d85970de974
If W is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of W?
[ "A)10", "B)12", "C)14", "D)16", "E)18" ]
C)14
aqua_rat
e0e34981-8fb9-421b-8844-067c4ef4805f
At what rate percent per annum will a sum of money double in 6 years.
[ "A)12.5%", "B)13.5%", "C)11.5%", "D)14.5%", "E)16.6%" ]
E)16.6%
aqua_rat
3944b9df-67de-44c3-8162-7c3b52ac9be3
What decimal fraction is 70 ml of a litre ?
[ "A).7", "B).07", "C).05", "D)0.07", "E)None of these" ]
B).07
aqua_rat
43e37866-ab34-4c78-8b66-e63e4446a06f
There are 8 baskets numbered from 1 to 8 and filled with apples. 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. If there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process, how many apples were left in the end?
[ "A)640", "B)680", "C)720", "D)760", "E)800" ]
A)640
aqua_rat
98e172cc-a4e0-4aef-9a85-a337ce64a7a3
If two numbers x, a perfect square and y, a perfect cube are added results a two digit number, whose digits if reversed, difference is 9, Find x and y ?
[ "A)x=4,y=8", "B)x=4,y=9", "C)x=4,y=7", "D)x=4,y=9", "E)x=5,y=8" ]
A)x=4,y=8
aqua_rat
7cd350db-e2ce-48d9-abbf-7e48f71ae3d8
The food in a camp lasts for 40 men for 35 days. If ten more men join, how many days will the food last?
[ "A)34days", "B)32days", "C)30days", "D)28days", "E)26days" ]
D)28days
aqua_rat
c93bfeb3-70a0-4770-bb1c-f2530a5542a7
The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ?
[ "A)71 years", "B)72 years", "C)73 years", "D)74 years", "E)75 years" ]
A)71 years
aqua_rat
56130900-1a14-49fb-bf4c-481a8cbb15ff
If (x+4)^2/(x+10)=8, then the difference between the two possible values of x is:
[ "A)2", "B)6", "C)12", "D)16", "E)24" ]
D)16
aqua_rat
4fe14154-ca6e-4422-9eb6-f901d0250d1b
If m and n are nonzero integers and 390m = 150n, then mn must be divisible by
[ "A)10", "B)45", "C)50", "D)65", "E)75" ]
D)65
aqua_rat
d1eb9c28-e917-4773-b5be-5c619ad7100a
A is the average (arithmetic mean) of the first 7 positive multiples of 6 and B is the median of the first 3 positive multiples of positive integer n. If the value of A^2 – B^2 is zero, what is the value of n?
[ "A)8", "B)10", "C)12", "D)16", "E)24" ]
C)12
aqua_rat
67e73727-0418-45cb-9bd2-0f9865e00fb0
Two pipes P and Q can fill a cistern in 10 and 25 minutes respectively. Both are opened together, but at the end of 5 minutes the first is turned off. How much longer will the cistern take to fill?
[ "A)12 1/7", "B)12 1/4", "C)12 1/3", "D)12 1/2", "E)12 1/5" ]
D)12 1/2
aqua_rat
f6f5c417-f1c0-49fc-bdae-0c5f2cb46955
4 litres of water is mixed in certain amount of pure milk whose cost is Rs. 3 per litre. If the dishonest milkman earns a profit of 20% by selling the mixture at initial price then what is the quantity of pure milk obtained by the customer?
[ "A)24", "B)20", "C)18", "D)25", "E)None of these" ]
B)20
aqua_rat
6041e544-ca30-4c9e-8dca-12cefad4d455
When two coins are tossed,Find the probability of getting all tails?
[ "A)1/3", "B)3/4", "C)1/8", "D)3/8", "E)1/4" ]
E)1/4
aqua_rat
b214fad2-e42d-472c-adda-8c8060341d27
Ravi purchased 20 dozens of toys at the rate of Rs. 340 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
[ "A)16.4%", "B)1.2%", "C)5.6%", "D)34.1%", "E)12.2%" ]
A)16.4%
aqua_rat
d2c0f7cf-5f0b-40fd-aba8-1c94f9cfece1
Let x, y and z be distinct integers, x and y are odd and positive, and z is even and positive. Which one of the following statements cannot be true?
[ "A)(x – z)^2 * y is even", "B)(x – z)*y^2 is odd", "C)(x – z)*y is odd", "D)(x – y)^2 * z is even", "E)none" ]
A)(x – z)^2 * y is even
aqua_rat
d367a1b1-d07c-4b0a-917a-5b486952a6e3
Boy sells a book for Rs. 450 he gets a loss of 10%, find CP of the book?
[ "A)Rs.300", "B)Rs.400", "C)Rs.500", "D)Rs.550", "E)Rs.600" ]
C)Rs.500
aqua_rat
2923d5e9-397a-4758-8ca8-3a380c4652c0
The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?
[ "A)520 sq cm", "B)840 sq cm", "C)440 sq cm", "D)120 sq cm", "E)5 sq cm" ]
C)440 sq cm
aqua_rat
d7ff175b-ed04-44c8-a73a-2905176ade86
What will $2000 amount to in three years if it is invested at 20% per year compound interest, with the interest being compounded annually?
[ "A)$3124", "B)$3260", "C)$3328", "D)$3456", "E)$3680" ]
D)$3456
aqua_rat
b250ba17-db23-44b1-81dd-1c9364e5bf0b
Solve the equation for x : 6x - 27 + 3x = 4 + 9 - x?
[ "A)4", "B)5", "C)3", "D)9", "E)6" ]
A)4
aqua_rat
16a73cf0-7a97-4cab-9087-ae765e64cf6e
Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:
[ "A)3 9/17 hours", "B)1 13 /17 hours", "C)2 8/11 hours", "D)4 1/ 2 hours", "E)5 1/ 2 hours" ]
A)3 9/17 hours
aqua_rat
c6d7019b-d0a8-4606-938a-d9d906d09829
In a certain store, the profit is 320% of the cost. If the cost increases by 40% but the selling price remains constant, approximately what percentage of the selling price is the profit
[ "A)67%", "B)80%", "C)90%", "D)100%", "E)None of above" ]
A)67%
aqua_rat
6305b1d2-5b48-42c1-82ac-62f5722a8734
A family consists of grandparents, parents and three grand children. The average age of the grandparents is 67 years, that of the parents is 37 years and that of the grandchildren is 6 years. What is the average age of the family?
[ "A)28 4Γ’Ββ€ž7 years", "B)31 5Γ’Ββ€ž7 years", "C)32 2Γ’Ββ€ž7 years", "D)27 1Γ’Ββ€ž2 years", "E)None of these" ]
C)32 2Γ’Ββ€ž7 years
aqua_rat
f0503b77-3f70-4270-9807-46f50f0a569b
A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
[ "A)5 months", "B)6 months", "C)7 months", "D)8 months", "E)9 months" ]
D)8 months
aqua_rat
516e863c-0564-480d-a120-bd69722601a0
A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
[ "A)77 kmph", "B)55 kmph", "C)54 kmph", "D)58 kmph", "E)76 kmph" ]
C)54 kmph
aqua_rat
f75e334a-706a-433f-ae3e-3ae0fba1ebfa
A & B throws a pair of dice and winner is one who gets a sum of 9 first.if A starts throwing first Then what is the ratio of A winning over B?
[ "A)8/9", "B)9/8", "C)7/8", "D)6/9", "E)5/9" ]
B)9/8
aqua_rat
3bcf3676-faaa-4120-bdb8-0abddc1a66d0
A boy wants to go abroad by boat and return by flight. He has a choice of 8 different boat to go and 6 flight to return. In how many ways, can the boy perform his journey?
[ "A)20", "B)48", "C)46", "D)50", "E)70" ]
B)48
aqua_rat
7777ef01-9156-4457-b5b6-b876e4f0ac84
A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the length of the train and its speed.
[ "A)10 m/sec", "B)15 m/sec", "C)18 m/sec", "D)19 m/sec", "E)25 m/sec" ]
B)15 m/sec
aqua_rat
cf8652e6-26ef-491b-999c-5a1afdfcfc73
How many ways are there to arrange the letters in the word accessibility ?
[ "A)1", "B)1260", "C)3780", "D)7560", "E)778377600" ]
E)778377600
aqua_rat
569679f8-b934-43b9-b843-c8eeb33422d6
Sam and Nik start from A and B respectively at the same time and travel towards each other at constant speeds along the same route. Sam meets Nik at point C on the road which is 600m away from starting point A and 400m away from point B. The speed of Sam is 50 m/m(meter/minute). How much time did Sam take to cover the distance between A and B?
[ "A)10 minutes", "B)15 minutes", "C)20 minutes", "D)22 minutes", "E)17 minutes" ]
C)20 minutes
aqua_rat
7a8949df-fed2-4207-8f53-9cf9a20a48b2
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
[ "A)27%", "B)20%", "C)25%", "D)40%", "E)28%" ]
B)20%
aqua_rat
09ec5d64-5542-4d5c-983a-8689a6c3dcea
The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest)?
[ "A)28 years", "B)11 years", "C)20 years", "D)17 years", "E)16 years" ]
C)20 years
aqua_rat
8987e1d0-9bd9-44fa-8ef1-6637a54d28bc
In a school the number of girls is 15 more that that of the boys. now if 19% of the girls were newly joined and 25% of the boys were newly joined the number of girls is 9 more than that of the boys how many girls and boys were there?
[ "A)156", "B)157", "C)158", "D)159", "E)160" ]
A)156
aqua_rat
787083fc-51b6-4780-8458-ce010212e315
Rose made a part payment of $300 toward buying a brand new car, which represents 5% of the total cost of the car, how much remains to be paid?
[ "A)$5700", "B)$5500", "C)$5800", "D)$5200", "E)$5880" ]
A)$5700
aqua_rat
4dbb4ba5-2926-4e28-80c4-4305a6267f43
A certain list of 100 data has an average (arithmetic mean) of 7 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 104 data with standard deviation less than d?
[ "A)-7 and 0", "B)0 and 0", "C)0 and 7", "D)0 and 14", "E)7 and 7" ]
E)7 and 7
aqua_rat
d777b7d7-39fb-4e05-8310-83172559f464
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is?
[ "A)1/8", "B)1/2", "C)7/9", "D)1/6", "E)1/1" ]
B)1/2
aqua_rat
c85b78bb-704c-4e0b-b8aa-321d8de562e0
Pipe A can fill a tank in 16 hrs and pipe B can fill it in 24 hrs. If both the pipes are opened in the empty tank. In how many hours will it be fill 5/4th of that tank?
[ "A)10", "B)12", "C)14", "D)16", "E)18" ]
B)12
aqua_rat
f5103f86-a4b3-4fcd-993f-b7e33db6ba78
The area of the Rest room is 40 m2 that of a longer wall 10 m2 and of the shorter wall 1 m2, find the edge of the new cube?
[ "A)40 m3", "B)10 m2", "C)80 m3", "D)20 m3", "E)50 m3" ]
D)20 m3
aqua_rat
f1ee8304-49ac-4573-aec9-e9a544d38d88
A parts store is having a store-wide sale of 10% off all merchandise. An out-of-stock part can be backordered, but at a 20% fee. If a customer orders an out-of-stock part whose presale price was $40, how much will he pay?
[ "A) $41.40", "B) $42.00", "C) $42.60", "D) $43.20", "E) $43.80" ]
D) $43.20
aqua_rat
80a61d89-0f4e-4bf4-bd53-99fbaedf1ead
An ice cream store received shipments of ingredients on Tuesday and Wednesday. Tuesday's shipment had 6 different packages, with an average (arithmetic mean) of 11 and 2/3 pounds. Wednesday's shipment included 7 packages, weighing an average of 9 and 3/7 pounds. What was the average package weight, in pounds, of the shipments received on both days?
[ "A)9 and 6/7 pounds", "B)10 and 1/10 pounds", "C)10 and 2/5 pounds", "D)136/13 pounds", "E)11 and 1/7 pounds" ]
D)136/13 pounds
aqua_rat
ddff2b05-eb76-4b46-b799-3c7116238006
If 2464 / 1.12 = 2200, then 246.4 / 11.2 is equal to?
[ "A)24", "B)23", "C)22", "D)21", "E)25" ]
C)22
aqua_rat
e9e9f9cf-c9e3-495a-b89a-8a8680d75496
Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 25 kg of fresh grapes?
[ "A)2 kg", "B)2.4 kg", "C)3.12 kg", "D)10 kg", "E)none of these" ]
C)3.12 kg
aqua_rat
c44c303b-0154-4bc0-8ddd-90b16c66651f
On flipping 3 coins together what is the outcomes for at least One tail and three heads?
[ "A)1/7", "B)3/8", "C)3/11", "D)4/8", "E)5/13" ]
D)4/8
aqua_rat
d763efa6-0699-4253-96de-2743e53c3ed5
An agent wants to sell x% of a list of 10,000 apartments in a residential area. After market price decreases, the agent must reduce this selection by (x βˆ’ 8)%. In terms of x, how many apartments will he be able to sell?
[ "A)x*x – 8x", "B)(x)(108 – x)", "C)(100)(108 – x)", "D)(100)(92 – x)", "E)(x-8)/100" ]
B)(x)(108 – x)
aqua_rat
9c442c4a-273c-4c57-ae43-3d7591b16829
If four coins are tossed, the probability of getting two heads and two tails i
[ "A)3/8", "B)3/6", "C)3/9", "D)3/1", "E)3/2" ]
A)3/8
aqua_rat
6705c2ea-1998-4dee-9fa3-312f2d11f862
A boat crossed a lake from North to East at the speed of 7 km/h, entered a river and covered twice as much distance going upstream at 6 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 3.8 km/h that day, what was its approximate downstream speed?
[ "A)4", "B)5", "C)6", "D)7", "E)8" ]
E)8
aqua_rat
441e2c59-e9c6-4375-a654-bc0a9c573e43
At a dinner party,3 people are to be seated around a circular table. Two 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)1) 5", "B)2) 10", "C)3) 24", "D)4) 2", "E)5) 120" ]
D)4) 2
aqua_rat
d4449a99-82bc-45a2-88b7-89c54b72f10f
A man can swim in still water at 9 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
[ "A)1.7", "B)1.9", "C)3", "D)1.5", "E)1.2" ]
C)3
aqua_rat
35c93ae6-7016-4687-8d11-c2c15fb963ae
If w/x = 1/3 and w/y = 4/15, then (x + y)/y =
[ "A)4/5", "B)6/5", "C)7/5", "D)8/5", "E)9/5" ]
E)9/5
aqua_rat
2622f0d4-3c39-452f-8802-7eed0b3ca09a
In a city, 40% of the adults are illiterate while 85% of the children are literate. If the ratio of the adults to that of the children is 2 : 3, then what percent of the population is literate ?
[ "A)20%", "B)25%", "C)50%", "D)75%", "E)80%" ]
D)75%
aqua_rat
6e9faa21-e349-4c15-a6da-acecbcd7af22
If x+y=4 and x2y3 + y2x3=36, what is the value of xy?
[ "A)1", "B)2", "C)3", "D)4", "E)5" ]
D)4
aqua_rat
61331714-023e-45af-911a-61f9491e0883
Trapezoid JKLM in the x-y plane has coordinates J = (–2, –1), K = (–2, 1), L = (6, 7), and M = (6, –1). What is its perimeter?
[ "A) 34", "B) 36", "C) 31", "D) 40", "E)(F) 42" ]
C) 31
aqua_rat
7f51f3d2-b278-41cd-9bdc-8e103b0b69d2
The two lines y = x and x = -2 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length of a cube whose surface area is equal to 6z?
[ "A)16", "B)8√2", "C)8", "D)√2", "E)(√2)/3" ]
D)√2
aqua_rat
cf149ec3-927e-43a9-b28a-d88dd7058aa7
The average of runs of a cricket player of 20 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 6 ?
[ "A)96", "B)106", "C)158", "D)116", "E)122" ]
C)158
aqua_rat
5cc9f6d8-a21e-422b-a53e-0cab98c81ed4
300 Γ— ? + (12 + 4) Γ— 1/8 = 602
[ "A)A)4", "B)B)3", "C)C)5", "D)D)2", "E)E)8" ]
D)D)2
aqua_rat
9a20a0db-7476-4ecc-aea4-1f5e48d666d6
Walking at the rate of 4 kmph a man cover certain distance in 2 hr 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in.
[ "A)12 min", "B)25 min", "C)40 min", "D)60 min", "E)None of these" ]
C)40 min
aqua_rat
48a08104-bdc2-4e6e-bb9e-10fa5b514f8e
If C is a whole number, C+1 is a whole number after that. If A is a whole number, what is a whole number before that?
[ "A)-1", "B)1", "C)0", "D)2", "E)-2" ]
A)-1
aqua_rat
fb3b574f-a38c-4835-b072-1525a962d258
A can do a piece of work in 4 hours; B and C together can do it in 2 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?
[ "A)2hours", "B)3hours", "C)4hours", "D)5hours", "E)6hours" ]
C)4hours
aqua_rat
753dbd3b-4281-40f8-b100-ae19424e1af1
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
[ "A)289 cm2", "B)285 cm2", "C)287 cm2", "D)267 cm2", "E)207 cm2" ]
B)285 cm2
aqua_rat
6ee32fa7-1811-4dde-a152-5a646fab4453
Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond four years. If he pays a total interest of 11,900 at the end of nine years, how much money did he borrow?
[ "A)10,526", "B)12,526", "C)14,000", "D)16,000", "E)16,536" ]
B)12,526
aqua_rat
ba07f682-2dc3-483b-9c98-fb0180eb1cda
A man has Rs. 544 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
[ "A)102", "B)38", "C)37", "D)90", "E)28" ]
A)102
aqua_rat
a66f4b37-a517-4b6c-8160-94fe6b42d034
If r>0, which of the following must be true?
[ "A)1 < r", "B)0 < r < 2", "C)-1 < r < 1", "D)-10 < r", "E)1/100 < r" ]
D)-10 < r
aqua_rat
3997395a-cb0c-4662-a0eb-063a28490d38
A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
[ "A)6", "B)3", "C)4", "D)9", "E)2" ]
B)3
aqua_rat
f3c8ba93-80c0-4110-84fa-7bb83bd764b5
A motorcyclist started riding at highway marker A, drove 120 miles to highway marker B, and then, without pausing, continued to highway marker C, where she stopped. The average speed of the motorcyclist, over the course of the entire trip, was 20 miles per hour. If the ride from marker A to marker B lasted 3 times as many hours as the rest of the ride, and the distance from marker B to marker C was half of the distance from marker A to marker B, what was the average speed, in miles per hour, of the motorcyclist while driving from marker B to marker C?
[ "A)40", "B)135", "C)50", "D)55", "E)60" ]
B)135
aqua_rat
27b294aa-8e34-437c-bb20-8d31545252a9
The average weight of a class is x pounds. When a new student weighing 90 pounds joins the class, the average decreases by 1 pound. In a few months the student’s weight increases to 110 pounds and the average weight of the class becomes x + 4 pounds. None of the other students’ weights changed. What is the value of x?
[ "A)85", "B)86", "C)88", "D)90", "E)99" ]
E)99
aqua_rat