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ccpfoye
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MNLP_M2_quantized_dataset

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67fcd877-979d-452a-90d3-9f2e3268d659
if the length of rectangle is three times of its breadth.if the area of rectangle is 6075 sq.m,then calculate the length?
[ "A)145", "B)135", "C)75", "D)140", "E)none of these" ]
B)135
aqua_rat
995da027-4483-412e-b5d6-c835bed28cf5
30^10 / 210^5=?
[ "A)6^5", "B)5^6", "C)(30/7)^5", "D)6^3", "E)15^3" ]
C)(30/7)^5
aqua_rat
c12f6d90-f219-4efe-982d-e220d75a549f
By weight, liquid X makes up 1.5 percent of solution P and 6.5 percent of solution Q. If 200 grams of solution P are mixed with 800 grams of solution Q, then liquid X accounts for what percent of the weight of the resulting solution?
[ "A)4.5%", "B)5.0%", "C)5.5%", "D)5.8%", "E)6.0%" ]
C)5.5%
aqua_rat
85f3a14a-92c2-4a82-ac41-2b60abe4365e
A square mirror has exactly half the area of the rectangular wall on which it is hung. If each side of the mirror is 18 inches and the width of the wall is 32 inches, what is the length of the wall, in inches?
[ "A) 15.25", "B) 18.25", "C) 19.25", "D) 20.25", "E) 21.25" ]
D) 20.25
aqua_rat
011d7661-79a5-4daf-8dfa-2ccb0b015d68
If four coins are tossed, the probability of getting two heads and two tails ?
[ "A)3/8", "B)3/7", "C)3/86", "D)3/5", "E)3/2" ]
A)3/8
aqua_rat
053b00fc-e389-4fe0-9d4c-751cb57ed6e0
in how man ways team of four can be formed from four boys and three girls such that atleast one boy and one girl should be there?
[ "A)33", "B)34", "C)35", "D)36", "E)37" ]
B)34
aqua_rat
0bc1d0d6-7026-4247-9168-e7c6c2f38081
A dice has one of the first 10 prime number on each its six sides ,with no two sides having the same number .the dice is rolled 8 times and the results added.the addition is most likely to be closet to
[ "A)100", "B)120", "C)103", "D)105", "E)70" ]
C)103
aqua_rat
3cc3f2c9-5e2c-4a7f-a0ea-5aa040c819e4
A grocer purchased 80 kg of sugar at 13.50 per kg and mixed it with 120 kg sugar at 16 per kg. At what rate should he sell the mixture to gain 21%?
[ "A)17 per kg", "B)18.15 per kg", "C)16.5 per kg", "D)16 per kg", "E)None of these" ]
B)18.15 per kg
aqua_rat
fc30471c-b22a-40f5-bf81-de51d155594e
A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.306 less than the sum lent. What was the sum lent?
[ "A)228", "B)278", "C)289", "D)500", "E)450" ]
E)450
aqua_rat
f2b22c6d-1039-4891-90e7-360534fdcbf1
There are 408 boys and 216 girls in a school which are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed.
[ "A)26", "B)32", "C)35", "D)30", "E)45" ]
A)26
aqua_rat
4e23f9d9-6b63-4374-b0fe-81f94b6b5486
The average earning of a for the first 4days of a week is Rs18 and for the last four days is Rs20. If he earns Rs.20 on the fourth day, his average earning forthe whole week is?
[ "A)Rs. 10", "B)Rs. 20", "C)Rs. 30", "D)Rs. 40", "E)Rs. 50" ]
B)Rs. 20
aqua_rat
93dec90b-ba2b-4e6f-8604-78c2a91838a8
Bruce and Bhishma are running on a circular track of length 600m. Speed of Bruce is 30 m/s and that of Bhishma is 20 m/s .They start fro the same point at the same time in the same direction. When will they meet again for the first time?
[ "A)60 sec", "B)70 sec", "C)80 sec", "D)90 sec", "E)100 sec" ]
D)90 sec
aqua_rat
a0f25b05-adb4-4c6e-8b6f-1821dc037e62
By looking at a rectangular box, a carpenter estimates that the length of the box is between 2 to 2.1 meters, inclusive, the breadth is between 1 to 1.1 meters, inclusive and the height is between 2 to 2.1 centimeters, inclusive. If the actual length, breadth and height of the box do indeed fall within the respective r...
[ "A)1%", "B)3%", "C)10%", "D)18%", "E)22%" ]
E)22%
aqua_rat
2b68d9e4-446c-4ad5-8ce9-0b5b03ddf6b1
The following list follows a peculiar pattern. Can you find it out and guess the next number? 2, 12, 36, 80, 150, 252, ?
[ "A)391", "B)392", "C)393", "D)394", "E)none" ]
B)392
aqua_rat
a5410483-a927-4f8c-a4d9-4d5527a45f78
In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State?
[ "A)7000", "B)8000", "C)8800", "D)8900", "E)9000" ]
B)8000
aqua_rat
0d66c471-e222-45a9-ae10-0780348d90e3
At a certain high school, a student’s popularity is determined by his or her locker number. Whoever has the locker number with the greatest number of distinct prime factors is the most popular student in the school. If Dhoni ,Kamal, Baskar, and Dinesh get lockers with the numbers 100, 400, 150, and 25, respectively, wh...
[ "A)Dhoni", "B)Baskar", "C)Kamal", "D)Dinesh", "E)They have equal popularity" ]
B)Baskar
aqua_rat
b67cf5b0-3ced-4660-85ab-ba6bb0140f74
A farmer used 1,034 acres of land for beans, wheat, and corn in the ratio of 5 : 2 : 4, respectively. How many acres Q were used for corn?
[ "A) 188", "B) 258", "C) 376", "D) 470", "E) 517" ]
C) 376
aqua_rat
86abb48d-b241-4577-b2ad-9d56abba0ef5
n denotes the number obtained when n is rounded to the nearest tenth. For example 4.31 = 4.3 0.089 - 1.135 =
[ "A)1.05", "B)1.04", "C)-1.05", "D)-1.0", "E)-0.1" ]
D)-1.0
aqua_rat
ad930c89-1273-4574-8a62-c2e8145e350c
Jim began driving from home on a trip averaging 30 miles per hour. How many miles per hour must Carla drive on average to catch up to him in exactly 3 hours if she leaves 30 minutes after Jim?
[ "A)35", "B)55", "C)39", "D)40", "E)60" ]
A)35
aqua_rat
fd686945-23ed-4055-8f77-8bea4b3b39ce
(2-x)^(x^2)=1^3x What is the value of x ?
[ "A)2", "B)3/2", "C)1", "D)3", "E)0" ]
C)1
aqua_rat
b7a8bb52-365e-4509-a35a-f9bfc3ec3574
City A to city B, Andrew drove for 1hr at 46 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
[ "A)56.5", "B)57.5", "C)61", "D)61.5", "E)62.5" ]
A)56.5
aqua_rat
4f63205b-a17d-4ccb-b209-726f5038e419
A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
[ "A)12/145", "B)36/145", "C)11/145", "D)31141", "E)None" ]
B)36/145
aqua_rat
a94ced7b-f569-4e70-825f-af7eba850f91
A merchant purchased a jacket for $60 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 20 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
[ "A) $0", "B) $3", "C) $4", "D) $12", "E) $15" ]
A) $0
aqua_rat
053b249a-c9c8-497a-80c4-65202fe57c2a
Mary travels the first 9 hours of her journey at 40 mph speed and the remaining 6 hours at 30 mph speed. What is the average speed of Mary's travel in mph?
[ "A)32 mph", "B)34 mph", "C)36 mph", "D)35 mph", "E)31 mph" ]
C)36 mph
aqua_rat
57ac9d04-957c-4b09-8ca5-e0eb49022cbc
For how many unique pairs of nonnegative integers {a, b} is the equation a^2 - b^2 = 220 true?
[ "A)1", "B)3", "C)5", "D)6", "E)9" ]
D)6
aqua_rat
52b7266b-9b20-4523-b722-6c9c079ea2dc
Instead of multiplying a number by 9, the number is divided by 9. What is the percentage of error obtained ?
[ "A)97.765%", "B)99.765%", "C)96.765%", "D)95.765%", "E)98.765%" ]
E)98.765%
aqua_rat
e38eb0a6-802a-4981-805c-4cb87cd04775
Cecilia, Robbie, and Briony all bought stamps. The number of stamps Cecilia purchased was equal to a single digit. The number of stamps only one of them purchased was divisible by 5. The number of stamps one of them bought was an even number. Which of the following could represent the numbers of stamps each purchased?
[ "A)3, 8, 24", "B)7, 9, 17", "C)6, 9, 12", "D)5, 15, 18", "E)9, 10, 13" ]
C)6, 9, 12
aqua_rat
484b4768-1aed-412a-b54c-50b8fb3e4f44
The length of a side of a hexagon is 10 inches. What is the perimeter?
[ "A)10", "B)20", "C)30", "D)40", "E)60" ]
E)60
aqua_rat
41a7200d-d18d-4954-aa39-02c139ce1ce7
A positive number x is multiplied by 8, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?
[ "A) 9/4", "B) 3/2", "C) 8/3", "D) 2/3", "E) 1/2" ]
C) 8/3
aqua_rat
b44398f0-67c5-4a48-9622-0666fdd27864
Two pipes A and B can fill a cistern in 20 and 40 minutes respectively, and a third pipe C can empty it in 80 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
[ "A)19 1/7 min", "B)15 1/7 min", "C)17 1/7 min", "D)7 1/7 min", "E)16 min" ]
E)16 min
aqua_rat
d27a2d0f-f18a-4823-9298-d99fa81518c9
A pharmaceutical company received $3 million in royalties on the first $30 million in sales of and then $9 million in royalties on the next $120 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $30 million in sales to the next $120 million in sales?
[ "A)8%", "B)15%", "C)25%", "D)52%", "E)56%" ]
C)25%
aqua_rat
5011d93d-5022-4e6f-aab6-103b95bc1528
A train covers a distance of 12 km in 10 min. If it takes 16 sec to pass a telegraph post, then the length of the train is?
[ "A)320 m", "B)188 m", "C)120 m", "D)178 m", "E)189 m" ]
A)320 m
aqua_rat
e29d2510-d3c2-4207-962b-1ac465acc8a3
100 white and black tiles will be used to form a 20x20 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used?
[ "A)75", "B)70", "C)85", "D)90", "E)95" ]
B)70
aqua_rat
b015c106-0e0a-4bd4-bed1-d6e6bc738f2c
Find the remainder T when 12^190 is divided by 1729 ?
[ "A)12", "B)1", "C)1728", "D)1717", "E)4" ]
D)1717
aqua_rat
a4802fd5-11a0-48db-85bd-8849912642a6
A mixture of 120 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
[ "A)2 liters", "B)3 liters", "C)8 liters", "D)5 liters", "E)7 liters" ]
C)8 liters
aqua_rat
98799dc4-6c7d-4f12-a5d3-c646d6fa82e5
Twelve dots are evenly spaced on the circumference of a circle. How many combinations of three dots can we make from these 12 dots that do not form an equilateral triangle?
[ "A)208", "B)212", "C)216", "D)220", "E)224" ]
C)216
aqua_rat
31b1002d-a588-4aac-8e7c-b1626cf15ab8
There are 4 bottles with the same number balls m respectively. If balls from only the 1-st bottle are moved to the other 3 bottles and finally the ratio of the numbers of balls in the bottles is 1 : 6 : 5 : 4, what fraction does the moved balls represent in terms of m?
[ "A)m/4", "B)m/2", "C)3m/4", "D)m", "E)4m/5" ]
C)3m/4
aqua_rat
2fe99ebf-5f63-4168-a64c-5b1472cf457e
Which of the following will divide evenly into 507,406,520?
[ "A)13", "B)11", "C)9", "D)3", "E)4" ]
E)4
aqua_rat
2dc43df5-a299-448d-9f17-eb1fb835c7fb
In a class there are 20 boys and 20 girls. In how many ways can a boy and a girl be selected?
[ "A)400", "B)500", "C)600", "D)530", "E)630" ]
A)400
aqua_rat
bda2f4e3-e822-4695-b848-dc8910294cf2
A circular well with a diameter of 2 metres, is dug to a depth of 4 metres. What is the volume of the earth dug out?
[ "A)26 m³", "B)28 m³", "C)44 m³", "D)46 m³", "E)None" ]
C)44 m³
aqua_rat
d4e9d093-58e2-4e23-9054-fb28544639ff
If x^6 > x^9 > x^7, which of the following could be the value of x?
[ "A)-6", "B)-1/2", "C)2", "D)1/2", "E)6" ]
B)-1/2
aqua_rat
0f202110-bea1-4a1f-8c48-4f306a230dcf
A grocer has a sale of Rs. 8435, Rs. 8927, Rs. 8855, Rs. 9230 and Rs. 8562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 8500?
[ "A)s. 1991", "B)s. 2991", "C)s. 3991", "D)s. 4991", "E)s. 6991" ]
E)s. 6991
aqua_rat
dbd9c581-9ea4-4202-878d-beccb1f1883e
A furniture manufacturer has two machines, but only one can be used at a time. Machine K is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine K can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts...
[ "A)14", "B)13", "C)11", "D)9", "E)7" ]
D)9
aqua_rat
38121fd2-77e6-4e0a-b4a3-974a5e4c49a4
Mariah has decided to hire three workers. To determine whom she will hire, she has selected a group of 17 candidates. She plans to have one working interview with 3 of the 17 candidates every day to see how well they work together. How many days will it take her to have working interviews with all the different combina...
[ "A)720", "B)420", "C)300", "D)30", "E)333" ]
B)420
aqua_rat
5a5fa729-139c-434e-9344-acb9d0c86121
Three numbers are in the ratio 3:5:7. The largest number value is 56. Find difference between Smallest & largest number is?
[ "A)34", "B)20", "C)36", "D)32", "E)30" ]
D)32
aqua_rat
3e17ba44-cc67-421d-b907-772786107024
The population of a town increased from 1,34,000 to 2,32,500 in a decade. The average percent increase of population per year is:
[ "A)4.37%", "B)7.3%", "C)7.6%", "D)8.75%", "E)None" ]
B)7.3%
aqua_rat
eaf5b03a-5015-4728-9d1c-f5277d4ca88a
A car crosses a 720 m long bridge in 2 minutes. What is the speed of car in km per hour?
[ "A)20.5 km/hr", "B)21.6 km/hr", "C)31.6 km/hr", "D)15.6 km/hr", "E)22.3 km/hr" ]
B)21.6 km/hr
aqua_rat
59b9dbc2-9cb2-4464-9304-bcea954d6935
Sara has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have?
[ "A) 32", "B) 30", "C) 29", "D) 28", "E) 27" ]
A) 32
aqua_rat
408f790b-f29b-416f-9332-475a53c2122b
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
[ "A)18", "B)16", "C)17", "D)19", "E)13" ]
D)19
aqua_rat
af7151ad-9451-4221-80b6-a48d06f2681e
P and Q started a business investing Rs 75000 and Rs 15000 resp. In what ratio the profit earned after 2 years be divided between P and Q respectively.
[ "A)5:1", "B)17:3", "C)5:6", "D)17:7", "E)3:8" ]
A)5:1
aqua_rat
d6a5390d-10d9-42ca-9786-5a005dfe44b9
An express traveled at an average speed of 100 km/hr, stopping for 3 min after every 75 kn. How long did it take to reach its destination 600 km from the starting point?
[ "A)6 hrs 21 min", "B)6 hrs 81 min", "C)6 hrs 91 min", "D)8 hrs 21 min", "E)6 hrs 51 min" ]
A)6 hrs 21 min
aqua_rat
e03f0dfd-6b15-4c3c-b4b2-5e96f28627db
The sum of four consecutive even numbers is 292. What would be the smallest number?
[ "A)49", "B)68", "C)60", "D)57", "E)70" ]
E)70
aqua_rat
1195e1a8-d07b-4636-a4ab-c679fdbfabb5
5 3 -2 -5 -3 2....What is the sum of first thirty number sequence?
[ "A)0", "B)1", "C)2", "D)3", "E)4" ]
A)0
aqua_rat
22f32625-ae2e-4137-9683-b09e03d6ae32
In an examination, the percentage of students qualified to the students appeared from school 'P' is 70%. In school 'Q', the number of students appeared is 30% more than the students appeared from school 'P' and the number of students qualified from school 'Q' is 50% more than the students qualified from school 'P'. Wha...
[ "A)80.78%", "B)80.76%", "C)80.72%", "D)80.79%", "E)80.74%" ]
B)80.76%
aqua_rat
7a110bdf-84cd-48d6-96a4-6a10d92d2433
The average height of 30 girls out of a class of 40 is 160 cm. and that of the remaining girls is 156 cm. The average height of the whole class is :
[ "A)158 cms", "B)158.5 cms", "C)159 cms", "D)159.5 cms", "E)none" ]
C)159 cms
aqua_rat
100e6322-352a-44e7-bc56-e6ad480ed0a5
Find a sum for first 9 prime numbers?
[ "A)22", "B)28", "C)29", "D)82", "E)100" ]
E)100
aqua_rat
c16bd88f-eca3-4d30-95b5-04538e3a48cd
The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
[ "A)19", "B)26", "C)18", "D)17", "E)12" ]
C)18
aqua_rat
5ebe2ae0-c6ab-429d-aa37-2f42f37aa18d
A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
[ "A)7", "B)6", "C)5", "D)9", "E)1" ]
C)5
aqua_rat
a3b1db2b-fc80-4ab7-a4f4-21ac1bb5d488
If, 1 * 3 * 5 = 16 3 * 5 * 7 = 38 Then find, 13 * 15 * 17 =?
[ "A)89", "B)49", "C)68", "D)268", "E)55" ]
D)268
aqua_rat
1d420b14-4ac3-4064-b57f-13f5c518a50a
If the city centers of Tokyo and London are 5936 miles apart, which of the following is closest to the distance between the city centers in inches? (There are 5,280 feet in a mile.)
[ "A)1.7 × 10^7", "B)4.9 × 10^7", "C)3.8 × 10^8", "D)2.6 × 10^9", "E)1.2 × 10^10" ]
C)3.8 × 10^8
aqua_rat
1642cdde-3087-4a57-bea1-84f56ed1472f
a, b, c and d are four consecutive numbers. If the sum of a and dis 103, what is the product of b and c?
[ "A)2652", "B)2578", "C)2534", "D)3354", "E)4234" ]
A)2652
aqua_rat
60031dba-e8a2-4a8a-96bb-60f3d02f6e4e
From the word 'TEA', how many independent words can be made with-out changing the order of the letters and using each letter only once ?
[ "A)0", "B)8", "C)3", "D)2", "E)9" ]
A)0
aqua_rat
838b90a2-3344-41ed-82c0-645b7fee256a
A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum ?
[ "A)Rs 4462.50", "B)Rs. 8032.50", "C)Rs. 8900", "D)Rs. 8925", "E)None" ]
D)Rs. 8925
aqua_rat
1297c765-455a-47ea-a31b-781e7baf9eab
. In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 70 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are exp...
[ "A) 50%", "B) 53%", "C) 54%", "D) 55%", "E) 57%" ]
A) 50%
aqua_rat
487308bb-0c25-4a9f-b5c2-7648b3f39792
A man rows to a place 48 km distance and back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:
[ "A)1 km/hr", "B)2.5 km/hr", "C)3 km/hr", "D)4 km/hr", "E)None" ]
A)1 km/hr
aqua_rat
85e04466-cc23-4503-9a2d-de1c6f16aa45
How many bricks, each measuring 25cm*11.25cm*6cm, will be needed to build a wall 8m*6m*22.5m
[ "A)6400", "B)3777", "C)2679", "D)2667", "E)1997" ]
A)6400
aqua_rat
38e3c5be-b6ff-4721-b779-9e593d7f5eef
A young girl counted in the following way on the fingers of her left hand. She started collang the thumb 1, the index finger 2, the middle finger 3, the ring finger 4, the little finger 5, then reversed direction calling the ring finger 6, the the middle finger 7, the index finger 8, the thumb 9 then back to the index ...
[ "A)a) thumb", "B)b) the index finger", "C)c) the middle finger", "D)d) the ring finger", "E)e) the little finger" ]
D)d) the ring finger
aqua_rat
30a42759-b955-4996-af36-0cd0a92c0b30
If Re.1 amounts to Rs.9 over a period of 20 years. What is the rate of simple interest?
[ "A)80%", "B)30%", "C)90%", "D)40%", "E)42%" ]
D)40%
aqua_rat
bb2cb61e-c81f-4443-981f-a047137d7ec7
The average age of 10 men increases by 6 years when two women are included in place of two men of ages 18 and 22 years. Find the average age of the women?
[ "A)37", "B)26", "C)30", "D)50", "E)11" ]
D)50
aqua_rat
6404b78e-526c-4da3-8d94-fea2e74b38cf
Ella picked a number of pears, each of which she sold, canned, or poached. If she canned 60 percent more than she poached, and she poached 10 percent less than she sold. If there were a total of 501 pears, then how many pears did she sell?
[ "A)130", "B)135", "C)140", "D)145", "E)150" ]
E)150
aqua_rat
337e610f-57d7-456e-8072-5a1e8d653b9d
A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
[ "A)2.9", "B)2.2", "C)2.5", "D)2.1", "E)2.3" ]
C)2.5
aqua_rat
8c6234cf-7db1-4d35-80c0-2fdafe51f53c
One-seventh of the light switches produced by a certain factory are defective. Four-fifths of the defective switches are rejected and 1/20 of the non defective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective?
[ "A)2.3%", "B)3.4%", "C)4.5%", "D)5.6%", "E)6.7%" ]
B)3.4%
aqua_rat
32b50f42-52b7-440a-be23-61fd96851c9d
Which of the following inequalities is equivalent to 11 - 11x > 133?
[ "A) x > -2", "B) x > -1", "C) x > -3", "D) x > -11", "E) x > -5" ]
D) x > -11
aqua_rat
179503ef-aa39-4b36-96b6-440912dc8748
Find the value of x in (x/5)+3=4.
[ "A)1", "B)2", "C)3", "D)4", "E)5" ]
E)5
aqua_rat
be21d079-ebb8-4c4a-b80f-d1cef5145356
A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.50 less, he could have gained 25%. What is the cost price?
[ "A)197", "B)250", "C)279", "D)278", "E)268" ]
B)250
aqua_rat
a27b2ce9-ea14-4bd4-ac48-77ff75fc2761
A person covered one-fourth of the total distance at 14 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
[ "A)20 (4/11)kmph", "B)21 (4/11)kmph", "C)21 (7/3)kmph", "D)27 (7/3)kmph", "E)21 (1/8)kmph" ]
A)20 (4/11)kmph
aqua_rat
4543eaef-b658-4528-b333-87a90bc1e69b
When the price of a product was decreased by 20%, the number sold increased by 60%. What was the effect on the total revenue ?
[ "A)28%", "B)32%", "C)35%", "D)45%", "E)52%" ]
A)28%
aqua_rat
8aac5702-6f28-4ebe-8173-1c4f58851c65
A squirrel can climb 5 metres of a pole in one minute but slips 2 metres in the next minute. How much time will the squirrel take to climb 26 metres?
[ "A)15 minutes", "B)18 minutes", "C)12 minutes", "D)58 minutes", "E)10 minutes" ]
A)15 minutes
aqua_rat
1d9d6856-3946-4e1e-b053-0f8544af5261
The average wages of a worker during a fortnight comprising 15 consecutive working days was $90 per day. During the first 7 days, his average wages was $87 per day and the average wages during the last 7 days was $95 per day. What was his wage on the 8th day?
[ "A)$76", "B)$90", "C)$92", "D)$97", "E)$104" ]
A)$76
aqua_rat
23e24389-d425-4856-99d1-51bd22adc647
Walking 6/7th of his usual speed, a man is 12 minutes too late. The usual time taken by him to cover that distance is :
[ "A)1 hr 20 min", "B)1 hr 11 min", "C)1 hr 12 min", "D)1 hr 30 min", "E)None of these" ]
C)1 hr 12 min
aqua_rat
9cae49bf-63ac-416a-b104-1efc2dce5655
U is a set containing 8 different positive odd numbers. V is a set containing 7 different numbers, all of which are members of U. Which of the following statements CANNOT be true?
[ "A)The range of V is even.", "B)The mean of U is even.", "C)The mean of V is even.", "D)The range of U is equal to the range of V.", "E)The median of V is equal to the mean of V." ]
C)The mean of V is even.
aqua_rat
9b9809d3-ad86-435e-bd2e-e65fddb566a4
Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 7 meters, and the interior of tank B has a height of 7 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?
[ "A)70%", "B)80%", "C)100%", "D)120%", "E)125%" ]
A)70%
aqua_rat
ebb6dbe6-f2a3-49e4-9ec8-68bc868929e3
A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track at the average speed of 4 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement?
[ "A)0.5< t < 0.75", "B)1.75< t < 2.0", "C)1 < t < 2", "D)2.5 < t < 3.0", "E)3 < t < 3.5" ]
C)1 < t < 2
aqua_rat
4baad1fe-f435-4b4b-9e19-55d187b296da
How much interest can a person get on Rs. 8200 at 10.5% p.a. simple interest for a period of six years and six months?
[ "A)5596.5", "B)5596.55", "C)5596.54", "D)3587.51", "E)3587.57" ]
A)5596.5
aqua_rat
df6e8ba3-af24-47bd-9cdc-a0a530f0806d
Two brother X and Y appeared for an exam. The probability of selection of X is 1/5 and that of B is 2/7. Find the probability that both of them are selected.
[ "A)2/35", "B)2/30", "C)2/63", "D)2/29", "E)2/10" ]
A)2/35
aqua_rat
edd7870a-7941-4657-bfc8-aa6f2e37c9bf
Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
[ "A)337", "B)299", "C)375", "D)662", "E)201" ]
C)375
aqua_rat
0efb7307-4a13-406d-bcf3-d5594025013f
There is a 4 digit no. in which 3rd digit is twice of first one. Second digit is the sum of first and third. Fourth digit is twice of third. What is the no?
[ "A)1224", "B)1324", "C)1444", "D)1524", "E)1354" ]
B)1324
aqua_rat
76933f39-750b-47b8-9bb8-feb94faf138a
Find the circumference and area of radius 11 cm.
[ "A)124 cm²", "B)144 cm²", "C)380 cm²", "D)284 cm²", "E)394 cm²" ]
C)380 cm²
aqua_rat
784bdef8-3c23-40ee-b33d-04365ab7f56e
A student gets 55% in one subject, 65% in the other. To get an overall of 55% how much should get in third subject.
[ "A)75%", "B)25%", "C)45%", "D)55%", "E)65%" ]
C)45%
aqua_rat
70f7064a-f892-4d4d-81ca-4960160bc4e5
A train 385 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
[ "A)5", "B)21", "C)7", "D)8", "E)9" ]
B)21
aqua_rat
a7fbcc5d-27e0-46c2-aaf6-99dec3034a98
What is the probability that the sum of two dice will yield a 8, and then when both are thrown again, their sum will again yield a 8? assume that each die has 7 sides with faces numbered 1 to 7.
[ "A)1/144", "B)1/36", "C)1/12", "D)1/6", "E)1/49" ]
E)1/49
aqua_rat
020c65f3-6343-4976-af8e-5c92d3432933
In a kilometer race, A beats B by 20 meters or 10 seconds. What time does A take to complete the race?
[ "A)290 sec", "B)190 sec", "C)199 sec", "D)192 sec", "E)490 sec" ]
E)490 sec
aqua_rat
9e1a22ce-5135-4c46-935f-4ff72f234f2e
A tap can fill a tank in 6 hours. After half the tank is filled then 3 more similar taps are opened. What will be total time taken to fill the tank completely.
[ "A)2 hours 30 mins", "B)2 hours 45 mins", "C)3 hours 30 mins", "D)3 hours 45 mins", "E)None of these" ]
D)3 hours 45 mins
aqua_rat
34228a32-0111-4790-95fa-dc0620b3b298
On a map, 1 centimeter represents 19 kilometers. Two cities 627 kilometers apart would be separated on the map by how many centimeters?
[ "A)15", "B)27", "C)49", "D)33", "E)280" ]
D)33
aqua_rat
14f78fb8-a79f-4f97-93a4-1ac98e0e6d9f
x = y - (10/y), where x and y are both > 0. If the value of y is doubled in the equation above, the value of x will
[ "A)decrease", "B)stay the same", "C)increase four fold", "D)double", "E)increases to more than double" ]
E)increases to more than double
aqua_rat
84cc6f22-45f9-44a8-b665-b9169b5780b4
If pq = p^6 + q^2 – 2pq, for what value of q is pq equal to p^6 for all values of p?
[ "A)0", "B)-1", "C)-2", "D)1", "E)2" ]
A)0
aqua_rat
802bfcad-337a-4ee1-b414-d9d8b9a6835d
A 250 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
[ "A)250", "B)245", "C)240", "D)235", "E)230" ]
A)250
aqua_rat
8fe7e569-bc9a-4aa4-9c72-6e31518db870
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
[ "A)288", "B)269", "C)245", "D)888", "E)121" ]
C)245
aqua_rat
fc3de149-064b-49b8-8bb8-80e5ae7f2270
The ratio of the earnings of P and Q is 9:10. If the earnings of P increases by one-fourth and the earnings of Q decreases by one-fourth, then find the new ratio of their earnings?
[ "A)2/3", "B)3/2", "C)4/5", "D)5/8", "E)4/2" ]
B)3/2
aqua_rat
57a0efa6-a473-428d-b2b1-c1555e81834d
The average of first ten prime numbers which are odd is?
[ "A)22.2", "B)22.1", "C)15.3", "D)15.8", "E)14.6" ]
D)15.8
aqua_rat