id
string
question
string
choices
list
answer_key
string
source
string
d00512ca-d0cb-4b4e-837b-f118b9d03d12
What is the perimeter of a regular polygon with sides of length 15 cm and internal angles measuring 144° each?
[ "A)96 cm", "B)108 cm", "C)120 cm", "D)132 cm", "E)150 cm" ]
E)150 cm
aqua_rat
417af2d6-c127-4125-98d0-856ec7e6713a
78, 64, 48, 30 10, (...)
[ "A)-12 number", "B)-14", "C)2", "D)8", "E)6" ]
A)-12 number
aqua_rat
91e46a01-e411-4464-8a7b-91a097700341
Working together, John and Jack can type 10 pages in one hour. If they would be able to type 12 pages in one hour if Jack increases his typing speed by 25%, what is the ratio of Jack's normal typing speed to that of John?
[ "A)3/1", "B)1/3", "C)4/1", "D)1/4", "E)5/4" ]
C)4/1
aqua_rat
202816d1-efd1-4008-9595-160d76b993c5
3^x + 9*3^-x = 6 What is the value of x?
[ "A)-1", "B)1", "C)0", "D)1/2", "E)-1/2" ]
B)1
aqua_rat
793cdc6c-e7d5-479a-a9b1-3210f7cbd562
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Euro 1000 more than D, what is B's share?
[ "A)Euro 1000", "B)Euro 3000", "C)Euro 5000", "D)Euro 4000", "E)Euro 2000" ]
E)Euro 2000
aqua_rat
f41d136e-680e-411e-ac17-8c4db2a80e0d
The average age of a husband and his wife was 23 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is :
[ "A)25", "B)23", "C)19", "D)18", "E)17" ]
C)19
aqua_rat
eb18e3c4-abe0-4cdd-b1a5-cc14dc4a8cc0
The sum of money will be double itself in 10years and simple interest find rate of interest?
[ "A)10%", "B)15%", "C)20%", "D)25%", "E)30%" ]
A)10%
aqua_rat
bfba55eb-3195-405c-830d-dcdf8fa0ec8c
Chocolate bars are sold in packages of four or nine only. If Mark bought 97 chocolate bars exactly, what could be the number of large packs Mark bought?
[ "A)3", "B)4", "C)8", "D)9", "E)13" ]
D)9
aqua_rat
12f3d8b4-73bc-48c5-b6c1-82f21e99afa4
For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana th...
[ "A)1/9", "B)4/9", "C)5/9", "D)2/3", "E)1/3" ]
C)5/9
aqua_rat
d8e8c032-6dfa-4fe0-b955-58ed4ccdd1e9
If Susan takes 8 seconds to run y yards, how many minutes will it take her to run x yards at the same rate?
[ "A)xy/8", "B)8x/(60y)", "C)60xy/8", "D)xy/480", "E)480x/y" ]
B)8x/(60y)
aqua_rat
6ddc4fff-5759-4be8-9e69-9fc369e55b62
A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 are?
[ "A)Rs. 10,500, Rs. 13,500, Rs. 16,500", "B)Rs. 10,600, Rs. 13,500, Rs. 96,500", "C)Rs. 10,500, Rs. 73,500, Rs. 16,500", "D)Rs. 10,500, Rs. 18,500, Rs. 16,500", "E)Rs. 40,500, Rs. 13,500, Rs. 16,500" ]
A)Rs. 10,500, Rs. 13,500, Rs. 16,500
aqua_rat
2e8e19be-5ce8-4cc8-b17a-2e74ad7809a5
In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
[ "A)44", "B)73", "C)53", "D)32", "E)62" ]
A)44
aqua_rat
eaa08fc3-40b6-43a1-b031-5ac09f2e4198
Two taps can separately fill a cistern 5 minutes and 10 minutes respectively and when the waste pipe is open, they can together fill it in 15 minutes. The waste pipe can empty the full cistern in?
[ "A)7", "B)8", "C)6", "D)4.2", "E)5" ]
D)4.2
aqua_rat
12bc8dd7-5aae-4171-bcb6-8da4d3dfebdd
A plant manager must assign 8 new workers to one of five shifts. She needs a first, second, and third shift, and two alternate shifts. Each of the shifts will receive 2 new workers. How many different ways can she assign the new workers?
[ "A)243", "B)336", "C)350", "D)486", "E)540" ]
B)336
aqua_rat
d31f5b15-2c9c-4dbf-b31a-9576dc59957b
What percent of 250 is 45?
[ "A)0.25%", "B)18%", "C)25%", "D)40%", "E)250%" ]
B)18%
aqua_rat
7ba7710b-cc2f-48af-83f3-6b3097a4fcf0
Six fencers participate in a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
[ "A)20", "B)24", "C)25", "D)30", "E)36" ]
D)30
aqua_rat
163f98bd-00c3-4999-b680-5fdc20b66a5e
If x is an integer and (x)(x^2)(x^3)(x^10) is positive, which of the following could be negative?
[ "A)x^4", "B)(x)(x^3)", "C)(x)(x)", "D)x + x^9", "E)3x^2" ]
D)x + x^9
aqua_rat
82afccf3-5015-4210-a1c9-55187cd2d1ff
Charlene's annual bonus is calculated in the following manner: Charlene receives 20 percent of her first $11,000 in sales and 40 percent of her sales in excess of $11,000. If Charlene received a bonus of $7,300, what were her annual sales?
[ "A)$ 10,000", "B)$ 12,750", "C)$ 24,000", "D)$ 26,000", "E)$ 28,000" ]
B)$ 12,750
aqua_rat
2a23a7c8-7b0e-4719-92e7-0b2a06026477
A security guard at a certain store is instructed to check the receipt of one out of every five customers as they are leaving the store. If, on the guard's shift, customers leave the store, how many different samples of customers could have been selected to have their receipts checked?
[ "A)20", "B)10", "C)59", "D)90", "E)100" ]
B)10
aqua_rat
475fa2fd-51da-4575-8ab8-2589e04f55fb
The revenue from sales items in 1996 increases by x percent, compared in 1995 and the revenue in 1997 decreases by x percent, compared in 1996. If the revenue from sales items in 1997 decreases by 4 percent, compared in 1995, what is the value of x?
[ "A)10", "B)15", "C)20", "D)30", "E)35" ]
C)20
aqua_rat
c1b1c0a7-9e9f-4eaf-ac8f-e2617707e60e
What is the greatest prime factor of (15!14!) + (15!16!)?
[ "A)31", "B)71", "C)181", "D)211", "E)241" ]
E)241
aqua_rat
94420390-71c1-4234-b970-b5375383cdac
A motorcyclist goes from Bombay to Pune, a distance of 224 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
[ "A)1:2", "B)1:5", "C)4:7", "D)1:1", "E)1:8" ]
C)4:7
aqua_rat
1180686f-9cfa-4369-a14d-7b92a65f2931
Three grades of milk are 1 percent, 2 percent and 4 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 1.5 percent grade, what is x in terms of y and z?
[ "A)y + 4z", "B)(y +z) / 4", "C)2y + 3z", "D)3y + z", "E)3y + 4.5z" ]
A)y + 4z
aqua_rat
b44d4d8f-adb1-43d3-babd-424fa9c84550
A total of 30 percent of the geese included in a certain migration study were male. If some of the geese migrated during the study and 30 percent of the migrating geese were male, what was the ratio of the migration rate for the male geese to the migration rate for the female geese? [Migration rate for geese of a certa...
[ "A)1/4", "B)7/12", "C)2/3", "D)1", "E)8/7" ]
D)1
aqua_rat
e4eb8a3d-96e7-4788-9538-84f35e7dedc5
If 6th March, 2004 is sunday, what was the day of the week on 6th March, 2005?
[ "A)monday", "B)tuesday", "C)friday", "D)sunday", "E)wednesday" ]
A)monday
aqua_rat
7e53fed0-c9f3-4329-83d4-5465fff4955b
3 no.'s A, B & C are in the ratio of 12:15:25. If sum of these no.'s is 312, find the ratio between the difference of B & A & the difference of C & B.
[ "A)1 : 5", "B)3 : 10", "C)4 : 7", "D)4 : 11", "E)5 : 9" ]
B)3 : 10
aqua_rat
dfbcbd4f-cd83-4d6b-a087-95958ae307f7
On a trip covering 450 km, a bicyclist travels the first 300 km at 20 km per hour and the remainder of the distance at 15 km per hour. What is the average speed, in km per hour, for the entire trip?
[ "A)16.5", "B)17.0", "C)17.5", "D)18.0", "E)18.5" ]
D)18.0
aqua_rat
c4250c7b-f17a-41f7-87af-b99fc053eaf6
A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident
[ "A)30%", "B)35%", "C)40%", "D)45%", "E)50%" ]
B)35%
aqua_rat
dcc01977-89a0-4700-a210-fda38ae9775f
In a certain mathematical activity, we have five cards with five different prime numbers on them. We will distribute these five cards among three envelope: all could go in any envelope, or they could be broken up in any way among the envelopes. Then in each envelop, we find the product of all the cards in that envelope...
[ "A) 41", "B) 89", "C) 125", "D) 243", "E) 512" ]
A) 41
aqua_rat
e493e4ff-9a12-43dc-bcf0-236445f04c56
A set of football matches is to be organized in a "round-robin" fashion, i.e., every participating team plays a match against every other team once and only once. If 10 matches are totally played, how many teams participated?
[ "A)4", "B)5", "C)10", "D)7", "E)8" ]
B)5
aqua_rat
8862bd92-a16f-4bd4-b2c4-35e21762d188
Which one of the following numbers is exactly divisible by 11?
[ "A)415624", "B)415358", "C)415647", "D)425624", "E)415836" ]
A)415624
aqua_rat
a62a0774-0abd-4f76-ad2f-963fa2e908e2
A woman has four blouses of different colors, three skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?
[ "A)8", "B)12", "C)22", "D)17", "E)18" ]
C)22
aqua_rat
9a4c3468-7f25-4fd4-9e00-18a95a45f1b2
The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is?
[ "A)8", "B)9", "C)7", "D)6", "E)1" ]
A)8
aqua_rat
725abe6f-7496-4875-8e69-fea04142eb83
Sam wrote 7 letters on Tuesday and 3 letters on Wednesday. How many letters did he write on average per day?
[ "A)10", "B)4", "C)21", "D)3", "E)5" ]
E)5
aqua_rat
32676d97-8444-4ff7-8981-5a83291915ae
If the radius of a circle that centers at the origin is 5, how many W points on the circle have integer coordinates?
[ "A) 4", "B) 8", "C) 12", "D) 15", "E) 20" ]
C) 12
aqua_rat
7e13124a-ad33-49c7-b780-04963a84008b
Raman mixed 27 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
[ "A)129", "B)287", "C)190", "D)188", "E)112" ]
C)190
aqua_rat
8fae9ec9-6d6b-4868-befa-1743dfea9ccb
If 15 and 20 are the lengths of two sides of a triangular region, which of the following can be the length of the third side? I. 10 II. 20 III. 40
[ "A)I only", "B)II only", "C)I and II only", "D)II and III only", "E)I, II, and III" ]
C)I and II only
aqua_rat
a3e86e61-9919-47bf-abf2-f965a009092f
A train of 35 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)3.6" ]
E)3.6
aqua_rat
5c6b3a57-10e0-49cc-aa9f-d9ac0c515ea2
A car traveling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. What is the actual speed of the car?
[ "A)20", "B)25", "C)27", "D)30", "E)35" ]
E)35
aqua_rat
48562adc-31e0-4fa1-9734-54cf685a9272
A bag marked at $125 is sold for $120. The rate of discount is?
[ "A)10%", "B)25%", "C)20%", "D)50%", "E)4%" ]
E)4%
aqua_rat
7d4e101f-04a0-491c-9d2e-2544c18acf9d
There are r red marbles, b blue marbles and w white marbles in a bag. Write the ratio of the number of blue marbles to the total number of marbles in terms of r, b and w.
[ "A)r/ (r + b + w)", "B)b/ (r + b + w)", "C)w / (r + b + w)", "D)r / (r + b )", "E)r / ( b + w)" ]
A)r/ (r + b + w)
aqua_rat
5403b385-e315-4ff1-aee8-c65b1bced225
If u, v, and w are three different positive integers whose sum is prime, which of the following statements could be true?
[ "A)The average (arithmetic mean) of u, v, and w is prime.", "B)Each of u + 3, v + 3, and w + 3 is prime.", "C)Each of u + v, u + w, and v + w is prime.", "D)Each of u, v, and w is prime.", "E)u + v = w" ]
D)Each of u, v, and w is prime.
aqua_rat
4e3ea6bb-0435-494e-9bf6-706117e444a0
The 106th term of the series a, b , b, c, c, c, d, d, d, d, e, e, e, e, e, .... is
[ "A)h", "B)k", "C)l", "D)o", "E)r" ]
D)o
aqua_rat
2f88c205-c83d-4266-84f0-92b5c5041b65
A person took some amount with some interest for 2 years, but increase the interest for 1%, he paid Rs.140/- extra, then how much amount he took?
[ "A)s.5500/-", "B)s.6000/-", "C)s.4000/-", "D)s.7000/-", "E)s.8000/-" ]
D)s.7000/-
aqua_rat
a0297da9-583e-41b8-a816-511d9b92c4b0
What is the ratio of 4/7 to the product 3*(7/3)?
[ "A)4:49", "B)1:3", "C)3:21", "D)1:7", "E)3:49" ]
A)4:49
aqua_rat
634dd567-e3a7-4b83-a2e9-d690d0720ab6
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
[ "A)2%", "B)3%", "C)5%", "D)8%", "E)9%" ]
C)5%
aqua_rat
83fcf21c-f3d5-4bdb-accf-2da72ede9e8a
How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?
[ "A)13", "B)25", "C)87", "D)49", "E)63" ]
A)13
aqua_rat
d07dc84f-00e1-4cdf-b12b-66b8c5fa6793
The present ratio of students to teachers at a certain school is 70 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?
[ "A)2", "B)8", "C)10", "D)12", "E)15" ]
A)2
aqua_rat
5d5fec0c-4702-4a55-844b-0278e6ff5cab
workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.60 lacs . How many workers were they?
[ "A)220", "B)230", "C)1200", "D)560", "E)590" ]
C)1200
aqua_rat
c51b368b-2ac4-44ba-9bf0-391f16f08cb4
If |b| ≥ 1 and x= -| a| b, then which one of the following is necessarily true?
[ "A)a -xb < 0", "B)a -xb ≥ 0", "C)a -xb > 0", "D)a -xb ≤ 0", "E)None of these" ]
B)a -xb ≥ 0
aqua_rat
8c9d4dc8-5343-44e2-b0c4-5c72fc89279b
Mr. loyd wants to fence his Square shaped land of 120Sqft each side.If a pole is laid every 12ft how many poles do he need?
[ "A)20", "B)30", "C)40", "D)50", "E)60" ]
C)40
aqua_rat
871a03a9-2a27-42b2-9ab0-0ae0c965ae80
In a zoo, the ratio of the number of cheetahs to the number of pandas is 1 : 3 and was the same five years ago. If the increase in the number of cheetahs in the zoo since then is 3, then what is the increase in the number of pandas?
[ "A) 2", "B) 3", "C) 9", "D) 10", "E) 15" ]
C) 9
aqua_rat
d5a541a1-0517-4007-a67c-214d4ea405c2
The area of a circle is increased by 800%. By what percent has the radius of the circle increased?
[ "A) 100%", "B) 400%", "C) 300%", "D) 600%", "E) 200%" ]
E) 200%
aqua_rat
29cfa1ee-f1ad-472f-aec8-a26557c5d32b
A pilotless cargo carrier brings water, air and dry food to a space station. A third of the cargo's weight is water and the ratio, by weight, of air to dry food is 2:3. If the cargo contains 1,800 pounds of water, how many pounds of air does it contain?
[ "A)1,200", "B)1,300", "C)1,440", "D)3,000", "E)3,240" ]
C)1,440
aqua_rat
87505e07-1d04-4200-85f2-144718c2403a
John found that the average of 15 numbers is 40. If 11 is added to each number then the mean of number is?
[ "A)51", "B)45", "C)65", "D)78", "E)64" ]
A)51
aqua_rat
682322e8-904d-43b0-b044-25d00401a79a
Two identical machines have the ability to produce both nuts and bolts. However, it takes 1 second to produce a bolt but 2 seconds to produce a nut. What is the fastest the two machines, working together, can produce 1,800 nuts and 1,800 bolts?
[ "A)1,250 seconds", "B)1,500 seconds", "C)1,750 seconds", "D)2,700 seconds", "E)3,000 seconds" ]
D)2,700 seconds
aqua_rat
6245b9a5-6b35-45ce-b072-a485ebde18d4
Vanessa, Mike and Sarah have missed a total of 17 days of school this year. Vanessa and Mike have missed 14 days total, and Mike and Sarah have missed 12 days total. How many days of school did Vanessa miss alone?
[ "A)9", "B)4", "C)5", "D)2", "E)3" ]
C)5
aqua_rat
cbd01779-4441-4690-b51f-7bf0010e9e77
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $540. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $720. How much more do pairs of boots cost than pairs of shoes at Suz...
[ "A)12", "B)11", "C)10", "D)15", "E)16" ]
C)10
aqua_rat
051fb9bd-9520-40c4-9602-1567310bbf8c
Molly's age in 18 years will be five times her age six years ago. What is Molly's present age?
[ "A)8", "B)9", "C)10", "D)12", "E)14" ]
D)12
aqua_rat
dded02c4-b2b6-494c-bffb-165e8ba4725c
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
[ "A)1123", "B)1234", "C)1345", "D)1450", "E)1635" ]
E)1635
aqua_rat
6b67449f-d427-45f7-8d44-6e00ed27190c
What is the difference between the local value of 1 and 2 in the number 2124?
[ "A)70", "B)75", "C)20", "D)80", "E)60" ]
D)80
aqua_rat
c2eb8112-113f-4f79-a964-1132c3f37a92
The average age of 10 men increases by 2 years when two women are included in place of two men of ages 10 and 12 years. Find the average age of the women?
[ "A)21", "B)32", "C)30", "D)41", "E)37" ]
A)21
aqua_rat
6912e957-2677-4766-9b66-396600da40dc
Gambling with 4 dice, what is the probability of getting an even sum?
[ "A)3/4", "B)1/2", "C)2/3", "D)1/4", "E)1/3" ]
B)1/2
aqua_rat
df06723b-60a0-4320-afcb-293737a5c65d
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
[ "A)288", "B)266", "C)500", "D)277", "E)121" ]
C)500
aqua_rat
81d087e8-8b0b-4b39-a8f2-fb788b1b7bde
Two trains of equal length, running with the speeds of 60 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)10 sec", "B)11 sec", "C)77 sec", "D)99 sec", "E)67 sec" ]
A)10 sec
aqua_rat
d5b8af88-ab72-4455-a2d7-d8e5686639f7
The ratio of 4 seconds to 8 hours
[ "A)1:80", "B)1:6000", "C)1:600", "D)1:7200", "E)1:500" ]
D)1:7200
aqua_rat
4519e685-6999-448b-9b71-a945be1961e1
At the end of the first quarter, the share price of a certain mutual fund was 25 percent higher than it was at the beginning of the year. At the end of the second quarter, the share price was 55 percent higher than it was at the beginning of the year. What was the percent increase in the share price from the end of the...
[ "A)24%", "B)25%", "C)30%", "D)33%", "E)40%" ]
A)24%
aqua_rat
68e61697-47df-4dc0-b669-fa84d05c4bde
21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
[ "A)3/19", "B)3/31", "C)9/42", "D)4/49", "E)4/51" ]
C)9/42
aqua_rat
b17bcb3b-bd70-4498-81f5-d26aae94de43
What is the HCF of 2/3, 4/15 and 6/5
[ "A)7/45", "B)2/45", "C)4/15", "D)8/45", "E)2/15" ]
E)2/15
aqua_rat
d8fffcaa-224e-4172-9605-fc7a0b8839a0
The ratio of cost price to the market price of an article is 4: 5. What is the profit percentage if the ratio of the profit percentage on selling the article to the discount allowed on it is 5: 4?
[ "A)10%", "B)12%", "C)12.5%", "D)15%", "E)16%" ]
C)12.5%
aqua_rat
6a17e083-e9a3-4288-8d9e-eee7e07bf3b4
A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
[ "A)78", "B)66", "C)20", "D)26", "E)29" ]
C)20
aqua_rat
d395e6c8-7af4-46a5-adff-f08bf595b1b4
A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
[ "A)5", "B)8", "C)9", "D)3", "E)2" ]
A)5
aqua_rat
f16d7691-329e-45f1-8511-719c21996fdc
A jogger is running at 9 kmph alongside a railway track in 240 meters ahead of the engine of a 120 meters long train . The train is running at 45 kmph in the same direction. how much time does it take for the train to pass the jogger?
[ "A)46", "B)36", "C)18", "D)22", "E)23" ]
B)36
aqua_rat
d40109aa-97b2-4f0d-9dc5-beab92c3f414
A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
[ "A)3", "B)8", "C)9", "D)4", "E)2" ]
B)8
aqua_rat
ffd99b8e-6223-4be1-9af3-bdea7a71ce06
80 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
[ "A)35", "B)32", "C)36", "D)40", "E)52" ]
A)35
aqua_rat
0e043042-ae77-48e7-bf1f-0a783de0e6b0
Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
[ "A)22", "B)10", "C)28", "D)27", "E)19" ]
B)10
aqua_rat
e41481f0-5dd1-45f5-a2c2-604901693b1b
Working simultaneously at their respective constant rates, Machines A and B produce 800 nails in x hours. Working alone at its constant rate, Machine A produces 800 nails in e hours. In terms of x and e, how many hours does it take Machine B, working alone at its constant rate, to produce 800 nails?
[ "A)x/(x+y)", "B)y/(x+y)", "C)xy/(x+y)", "D)xy/(x-y)", "E)xe/(e-x)" ]
E)xe/(e-x)
aqua_rat
1bc554d6-c394-4ed1-830f-7dd2326a4031
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 56 km downstream
[ "A)2 hours", "B)4 hours", "C)5 hours", "D)6 hours", "E)7 hours" ]
A)2 hours
aqua_rat
bce99b3c-a00b-412a-8e95-3264afa1117b
A, B, C together started a business. A invested Rs.1000 for 5 months B invested Rs.1500 for 6 months and C Rs.2000 for 3 months. If they get a total profit of Rs.3000. Find the share of A?
[ "A)750", "B)3000", "C)2777", "D)2999", "E)17212" ]
A)750
aqua_rat
d0853349-44bb-487a-9adc-a8f822f3493e
Rs.320 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
[ "A)388", "B)266", "C)120", "D)240", "E)267" ]
D)240
aqua_rat
ede73831-f9e4-45d9-8136-0d75a83ed541
Tough and Tricky questions: Work/Rate Problems. If it takes 70 workers 3 hours to disassemble the exhibition rides at a small amusement park, how many hours would it take 15 workers to do this same job?
[ "A)14", "B)11", "C)7", "D)7/3", "E)9/7" ]
A)14
aqua_rat
6e5bf32b-ccda-49fd-9e41-711108bef903
Tom found a box of 220 baseball cards. Being a thoughtful older brother, he wanted to save at least 40 percent of the cards for himself and split the remaining cards evenly among his 4 younger brothers. What is the lowest possible number of cards that Tom can save for himself that will also allow each of his 4 younger ...
[ "A)110", "B)112", "C)116", "D)118", "E)122" ]
A)110
aqua_rat
b2ebaec8-004f-46ad-996a-a3846ad0c562
A train passes a man standing on the platform. If the train is 130 meters long and its speed is 72 kmph, how much time it took in doing so?
[ "A)6 ½ sec", "B)6 ½ sec", "C)9 ½ sec", "D)8 ½ sec", "E)7 ½ sec" ]
B)6 ½ sec
aqua_rat
c4dfa937-da6b-4bfc-8119-00b648baffc4
In an election between two candidates, 10% of votes are were declares invalid. First candidate got 1800 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was?
[ "A)10000", "B)12000", "C)13000", "D)14000", "E)15000" ]
A)10000
aqua_rat
58bd1a4f-8962-4384-aa7c-ace97d1d3293
John had a stock of 1000 books in his bookshop. He sold 20 on Monday, 120 on Tuesday, 200 on Wednesday,250 on Thursday and 300 on Friday. What percentage of the books were not sold?
[ "A)68%", "B)74%", "C)76%", "D)62%", "E)89%" ]
E)89%
aqua_rat
8b8bc047-24db-4e87-920f-ae2389c4e774
There are cats got together and decided to kill the mice of 999919. Each cat kills equal number of mice and each cat kills more number of mice than cats there were. Then what are the number of cats?
[ "A)941,1009", "B)991,1001", "C)991,1009", "D)791,1009", "E)931,1009" ]
C)991,1009
aqua_rat
5fdcbb04-fa91-47dd-811e-0c7997e576b2
In an election between two candidates, 75 % of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes.
[ "A)16800", "B)15800", "C)16700", "D)15700", "E)15000" ]
A)16800
aqua_rat
3e2c00ea-6fe4-48bc-a4ac-17bc9797d765
Two trains which have lengths of 150 m are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
[ "A)7.6", "B)7.1", "C)6.8", "D)7.2", "E)6.4" ]
D)7.2
aqua_rat
86e9ea0f-bfd8-4216-82fe-6d84afd01efa
In the parking lot there are 38 vehicles, 21 of them are buses, and the rest are cars. The color of 23 vehicles is red, of which 15 are buses. How many cars can be found in the parking lot which are not colored red?
[ "A)7", "B)8", "C)9", "D)10", "E)11" ]
C)9
aqua_rat
d6ce105e-91e8-4ac0-b807-938fa5254e73
A person spends 1/5th of his income on the education of his children, and 20% of the remaining on food. If he is left with Rs.576 find his income?
[ "A)900", "B)906", "C)988", "D)917", "E)902" ]
A)900
aqua_rat
53cfba7c-3945-45ba-a873-b113b1b456ed
On a certain plane, 2/5 of the passengers speak Hindi and 3/4 speak Hebrew. If all of the passengers on the plane speak at least one of these languages, what is the smallest number of passengers that could be on the plane?
[ "A)12", "B)15", "C)60", "D)74", "E)80" ]
C)60
aqua_rat
5bb5e6bc-c8f3-4797-90c9-341f16c2effe
The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is?
[ "A)33", "B)38", "C)15", "D)36", "E)81" ]
C)15
aqua_rat
2092db42-12d6-4926-af59-c10ee77848ad
In a particular 100 meter race, 4 athletes are participating that are numbered 1-4. In how many ways can athlete #4 finish ahead of #2 provided there's no tie among the athletes?
[ "A)8", "B)12", "C)16", "D)20", "E)24" ]
B)12
aqua_rat
eeffb84a-4992-4a15-a85d-3933ee558d80
There are 4 more women than there are men on a local co-ed softball team. If there are a total of 20 players on the team, what is the ratio of men to women?
[ "A)8/12", "B)6/16", "C)4/16", "D)6/10", "E)4/10" ]
A)8/12
aqua_rat
ab23016d-7a93-45bd-ac0a-e35dbf0c292a
How much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 13 inches than that of a rectangular sheet of paper measuring 6.5 inches by 11 inches?
[ "A)50%", "B)87%", "C)100%", "D)187%", "E)200%" ]
C)100%
aqua_rat
55d87cdd-5cf3-4e00-92ce-9bb49043d1a9
Sudhir started a business with Rs.20,000 and after 8 months Ravi joined him with Rs.60,000. If they get a profit of Rs.28000 then ratio of their shares will be
[ "A)3:2", "B)2:3", "C)4:3", "D)3:4", "E)1:1" ]
E)1:1
aqua_rat
56770b8a-4b3f-4d4f-84f9-3d8cc802cf53
The amount of time that three people worked on a special project was in the ratio of 4 to 3 to 5. If the project took 120 hours, how many more hours did the hardest working person work than the person who worked the least?
[ "A)25 hours", "B)30 hours", "C)20 hours", "D)26 hours", "E)32 hours" ]
C)20 hours
aqua_rat
1c88957b-0639-48e5-9399-29b2a53fa24c
Certain stocks in January were 10% less than they were in February and 20% greater than they were in March. What was the percentage decrease in the stocks from February to March?
[ "A)5%", "B)10%", "C)20%", "D)25%", "E)50%" ]
D)25%
aqua_rat
2536991c-0ac1-4b58-9b11-d4e36e68c75f
If a man walks at the rate of 5 kmph, he misses a train by 7 minutes. However, if he walks at the rate of 6 kmph, he reaches the station 5 minutes before the arrival of the train. Find the distance covered by him to reach the station.
[ "A)8 km", "B)6 km", "C)12 km", "D)9 km", "E)7 km" ]
B)6 km
aqua_rat
8579f18d-0d50-471c-a58c-2f82af283675
A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 14 months respectively. What was the ratio of their investments?
[ "A)10:12:14", "B)12:24:28", "C)20:22:12", "D)20:49:32", "E)None of these" ]
D)20:49:32
aqua_rat