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ccpfoye
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MNLP_M2_quantized_dataset

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dfe0d093-c9d9-4138-9e11-12427341270d
In how many different R ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?
[ "A)70", "B)288", "C)576", "D)10,080", "E)20,160" ]
C)576
aqua_rat
faefd47a-96c3-4418-b31e-0822e9283fe4
The integers 1, 2, …, 40 are written on a blackboard. The following operation is then repeated 39 times: In each repetition, any two numbers, say a and b, currently on the blackboard are erased and a new number a + b – 1 is written. What will be the sum of the numbers left on the board at the end?
[ "A)820", "B)821", "C)781", "D)819", "E)780" ]
C)781
aqua_rat
afb04063-f1d6-4b86-ab41-4fb91588cbde
If December 3rd, 1999 is a Friday, what day is January 7th, 2000?
[ "A)Wednesday", "B)Thursday", "C)Friday", "D)Saturday", "E)Sunday" ]
C)Friday
aqua_rat
73510662-0b18-4968-acc1-08986345b593
Find the perimeter and area of the rectangle of length 17 cm and breadth 13 cm.
[ "A)221 cm2", "B)211 cm2", "C)231 cm2", "D)236 cm2", "E)241 cm2" ]
A)221 cm2
aqua_rat
c1f8369e-f7ba-4c7e-ac56-0bf13ec211fc
A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
[ "A)87 days", "B)20 days", "C)66 days", "D)77 days", "E)44 days" ]
B)20 days
aqua_rat
bc03caf1-9445-419a-865d-6ba57b0a234f
The difference between a number and its two-fifth is 45. What is the number?
[ "A)76", "B)56", "C)88", "D)66", "E)75" ]
E)75
aqua_rat
9febd2c2-e7c4-43a6-b952-4129707f15e8
What is the total number of prime numbers less than 50?
[ "A)17", "B)18", "C)19", "D)15", "E)21" ]
D)15
aqua_rat
272dc015-8432-4c03-a32d-de362e739c86
What will be the compound interest on Rs. 30000 after 3 years at the rate of 12 % per annum
[ "A)Rs 10123.20", "B)Rs 12147.84", "C)Rs 10123.40", "D)Rs 10123.50", "E)None of these" ]
B)Rs 12147.84
aqua_rat
0ddd34d3-6e19-405d-bee6-2cb12fdd6012
A high school has 400 students 1/2 attend the airthmetic club, 5/8 attend the physics club and 3/4 attend the chemistry club. 3/8 attend all 3 clubs. If every student attends at least one club how many students attend exactly 2 clubs.
[ "A)80", "B)70", "C)60", "D)50", "E)30" ]
D)50
aqua_rat
72d92852-d991-4d93-a8af-14d48ee2c0ca
In how many different ways can the letter of the word 'JUDGE ' be arranged in such a way that the vowels always come together?
[ "A)48", "B)89", "C)56", "D)74", "E)25" ]
A)48
aqua_rat
54f7c994-2354-454a-8900-6ff157f030c7
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 2000, the number of valid votes that the other candidate got, was:
[ "A)900", "B)750", "C)250", "D)600", "E)800" ]
A)900
aqua_rat
bdfbad5a-2090-4ee5-a804-cf8d8b691070
Set S has a mean of 9 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){2, 10}", "B){16, 16}", "C){9, 11}", "D){7, 13}", "E){10, 18}" ]
E){10, 18}
aqua_rat
cda6e873-629e-4653-84d5-9ef813e65e26
if the ratio of s.i earned on certain amount on same rate is 4:5.what is the ratio of time?
[ "A)1:2", "B)6:9", "C)4:5", "D)2:3", "E)not possible to calculate" ]
C)4:5
aqua_rat
10b1736a-8015-4fae-a179-3588196242f5
A man sitting in a train which is traveling at 36 kmph observes that a goods train, traveling in opposite direction, takes 10 seconds to pass him. If the goods train is 240 m long, find its speed
[ "A)50 kmph", "B)56 kmph", "C)58 kmph", "D)62 kmph", "E)72 kmph" ]
A)50 kmph
aqua_rat
f1926f56-e164-467c-963d-ef9a68877660
If P and Q are positive integers and P = 10Q + 3, what is the remainder when P is divided by 5?
[ "A)0", "B)1", "C)2", "D)3", "E)4" ]
D)3
aqua_rat
a5f34393-335e-4143-b966-d4ff6a1bf6e1
John invested part of his savings into a investment X that earned a profit of 10% and the rest of the savings into an investment Q that lost 15%. If John neither made a profit nor a loss, then what fraction of his savings was invested in investment X?
[ "A)a. 3/5", "B)b.2/3", "C)c.7/10", "D)d.3/4", "E)e.4/5" ]
A)a. 3/5
aqua_rat
1397e08c-1b06-4e08-b650-0909308bc3db
Three partners A , B , C start a business . B's Capital is four times C's capital and twice A's capital is equal to thrice B's capital . If the total profit is Rs 16500 at the end of a year ,Find out B's share in it.
[ "A)Rs. 4000", "B)Rs. 5000", "C)Rs. 6000", "D)Rs. 7000", "E)None" ]
C)Rs. 6000
aqua_rat
cc0ee2e2-db73-4414-8df6-83ce37fbb191
The length of a rectangle is two third of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 4761 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 13 units?
[ "A)598 sq.units", "B)556 sq.units", "C)589 sq.units", "D)958 sq.units", "E)985 sq.units" ]
A)598 sq.units
aqua_rat
c6ce1af7-a53e-41d9-8fdc-5e211ad8a71a
A man is 12 years older than his brother. In two years, his age will be twice the age of his brother. The present age of his brother is:
[ "A)10", "B)21", "C)22", "D)23", "E)24" ]
A)10
aqua_rat
17ce3ba9-16de-46a7-a3be-d0ace52c173c
P alone can complete a piece of work in 14 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
[ "A)6 (1/4) days", "B)21/2 days", "C)7 (3/4) days", "D)8/5 days", "E)9 (3/4) days" ]
B)21/2 days
aqua_rat
485c610a-92d3-4719-ba1d-e1c2a9c68cc3
If 20% of a number = 400, then 120% of that number will be?
[ "A)20", "B)120", "C)360", "D)2400", "E)2820" ]
D)2400
aqua_rat
92536579-91ca-4980-bc0a-48d9735adfd1
The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 50% profit ?
[ "A)Rs. 660", "B)Rs. 560", "C)Rs. 1060", "D)Rs. 960", "E)None of these" ]
D)Rs. 960
aqua_rat
96cedaa9-2ef3-4a3a-83ce-ee136959d207
Mohan has 8 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 16 shoes, what is the probability that she will select 2 shoes of the same color?
[ "A)2/5", "B)1/15", "C)1/9", "D)1/10", "E)1/25" ]
B)1/15
aqua_rat
fab521e4-d740-4cc2-b834-e4683f01d8c6
Three maths classes: A, B and C take an algebra test. The average score of class A is 83. The average score of class B is 76. The average score of class C is 85. The average score of class A and B is 79 and average score of class B and C is 81. What is the average score of classes A, B, C ?
[ "A)81.8", "B)81.1", "C)81.2", "D)81.5", "E)81.9" ]
D)81.5
aqua_rat
c205751a-166a-4031-b961-d909471ed06b
In a class of students, the ratio of girls to boys is 1:2. If 2 more girls joined the class, the ratio would be 2:3. How many students are in the class?
[ "A)18", "B)20", "C)22", "D)24", "E)26" ]
A)18
aqua_rat
d6857eca-1f6c-4c84-a81c-14dc130245b6
The ages of two persons differ by 16 years. 8 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person
[ "A)15", "B)20", "C)25", "D)30", "E)32" ]
E)32
aqua_rat
5cb571e2-4b86-4e85-a5d1-3c5485a89e15
A dozen eggs and 10 pounds of oranges are currently at the same price. If the price of a dozen eggs rises by 9 percent and the price of oranges rises by 6 %. How much more will it cost to buy a dozen eggs and 10 pounds of oranges .
[ "A)5%", "B)10%", "C)15%", "D)20%", "E)25%" ]
C)15%
aqua_rat
d03222ef-b431-42e0-8dd6-4ffc8c556481
Two children want to walk together to visit their aunt, who lives exactly 9 blocks north and 7 blocks east of their current location. If they travel only along streets and do not travel diagonally, the shortest possible route connecting the two points is exactly 16 blocks. How many different 16-block routes may they ta...
[ "A)9!*7!", "B)16*9*7", "C)16!*9!*7!", "D)16!/(9*7)", "E)16!/(9!*7!)" ]
E)16!/(9!*7!)
aqua_rat
f085e78c-18b3-4b14-80d7-35692cdd2f36
Two vessels having volumes in the ratio 3:5 are filled with water and milk solutions. The ratio of milk and water in the two vessels are 2:3 and 3:1 respectively. If the contents of both the vessel are empties into a larger vessel, find the ratio of milk and water in the larger vessel.
[ "A)99:61", "B)99:160", "C)61:160", "D)61:99", "E)99:160" ]
A)99:61
aqua_rat
a71f5a9a-6193-44cb-a72c-cb4f6fef9b9b
One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
[ "A)Rs. 30,000", "B)Rs. 50,000", "C)Rs. 60,000", "D)Rs. 90,000", "E)Rs. 80,000" ]
C)Rs. 60,000
aqua_rat
dac9a305-07a0-4a5a-9aa8-3e85c97a4c22
If 1/12 of the passengers on a ship are from North America, 1/8 are Europeans, 1/3 are from Africa, 1/6 are from Asia and the remaining 35 people are citizens of other continents, then how many passengers are on board the ship?
[ "A)110", "B)115", "C)120", "D)125", "E)130" ]
C)120
aqua_rat
560777b8-89e4-4e2e-ae90-aeba6bee151b
The avg age of an adult class is 40years. 12new students with an avg age of 32years join the class. Therefore decreasingthe avg by 4year. Find what was the original strength of class?
[ "A)8", "B)12", "C)15", "D)16", "E)19" ]
B)12
aqua_rat
79a0f53d-165e-4db1-b1c9-c2de5c8f3963
In a survey about potential presidential candidates A and B, 37% of the public like A and 55% like B. If the percentage of the public who like one candidate only is twice the percentage of the public who like both candidates, then what is the percentage of the public that like neither?
[ "A)27%", "B)31%", "C)41%", "D)22%", "E)69%" ]
B)31%
aqua_rat
6b4641c9-4ba0-43c2-b03b-24abf4f81e1c
On a baseball team, 7 players including Alice want to play 1st base, 2nd base, or 3rd base. Before every game, the coach chooses a name randomly from a bag and this person plays 1st base. Then the coach chooses the next name randomly and this person plays 2nd base. The coach then chooses a third name randomly and this ...
[ "A)2/3", "B)3/5", "C)4/5", "D)3/7", "E)4/7" ]
D)3/7
aqua_rat
1206a441-35cc-44c7-8862-f7fc917fddfb
Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?
[ "A)2", "B)4", "C)6", "D)8", "E)10" ]
C)6
aqua_rat
7da3889c-f1da-4434-b789-b63d27a82e18
Catherina works 5 hours per day on Monday, Wednesday and Friday, and 10 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $420 per week. How much does she earn in dollars per hour?
[ "A)14", "B)15", "C)16", "D)12", "E)18" ]
D)12
aqua_rat
4bfc0993-3936-44e8-9a63-27c0a5e815ed
If a, b, and c are consecutive odd positive integers and a < b < c, which of the following could be equal to c - b - a+3 ?
[ "A)4", "B)-4", "C)-1", "D)-2", "E)-3" ]
A)4
aqua_rat
217a81e1-63ee-444f-ba65-5b204e45257d
A 300 m long train crosses a platform in 40 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
[ "A)288", "B)350", "C)889", "D)367", "E)234" ]
D)367
aqua_rat
ee4ec55c-7f41-4872-8ed8-c3d649f0b357
A certain quantity of 60% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?
[ "A)1/4", "B)1/3", "C)1/2", "D)2/3", "E)5/7" ]
E)5/7
aqua_rat
ea2ef4b7-ca3b-4758-ab38-e74a93b2e58e
A circular racetrack is 3 miles in length and has signs posted to indicate each 1/10 mile increment. If a race car starts at a random location on the track and travels exactly one half mile, what is the probability that the car ends within a half mile of the sign indicating 2 1/2 miles?
[ "A)1/6", "B)3/10", "C)1/3", "D)1/2", "E)2/3" ]
C)1/3
aqua_rat
3f8a796e-8e4c-4e15-af25-b49a3784da39
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 48 years now, the son's age five years back was:
[ "A)14 years", "B)19 years", "C)33 years", "D)38 years", "E)39years" ]
B)19 years
aqua_rat
c7534a2a-1969-4a92-9ffb-76d7c251b50a
If the average of 5 positive integers is 70 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers?
[ "A)50", "B)52", "C)69", "D)78", "E)84" ]
D)78
aqua_rat
816d5a0f-70c2-44eb-9c18-1ba6ada600df
The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
[ "A)2:5", "B)2:9", "C)2:2", "D)2:9", "E)2:1" ]
A)2:5
aqua_rat
eccb815f-ae5c-4d4a-9289-05a92c61d57c
A courtyard is 24 meter long and 14 meter board is to be paved with bricks of dimensions 25 cm by 15 cm. The total number of bricks required is :
[ "A)6000", "B)8000", "C)8960", "D)2000", "E)None of these" ]
C)8960
aqua_rat
8adf7fe9-6d6e-4efd-8551-42dea414e871
At the store, Sam bought a shirt and a toaster. There was a 9% sales tax on each item, and with tax, Sam paid a total of K. If the price of the toaster before tax was T, what, in terms of K and T, is the price of the shirt before tax?
[ "A)0.91(K – T)", "B)0.91K – T", "C)0.91(K – 1.09T)", "D)(K – T)/1.09", "E)(K/1.09) – T" ]
E)(K/1.09) – T
aqua_rat
330a7f9a-3247-4f4a-bf3c-44bb62e90864
A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After six months, C joined them with Rs.20,000. What will be B's share in the total profit of Rs.27,000 earned at the end of 2 years from the starting of the business?
[ "A)Rs.8100", "B)Rs.9000", "C)Rs.9500", "D)Rs.10,000", "E)None" ]
A)Rs.8100
aqua_rat
1b9ada60-e06b-4a2e-83a2-9f90c819cf94
How much is 80% of 40 is greater than 4/5 of 25?
[ "A)22", "B)77", "C)15", "D)12", "E)88" ]
D)12
aqua_rat
96acb2b8-2f4c-4a6d-8a85-b2a7cf568987
Find the value of x. (47% of 1442 - 36% of 1412) + 65 = x?
[ "A)1", "B)2", "C)3", "D)4", "E)5" ]
E)5
aqua_rat
3e65ad89-d96d-434f-a77f-ca760b51269f
By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
[ "A)Rs.488", "B)Rs.480", "C)Rs.482", "D)Rs.487", "E)Rs.481" ]
B)Rs.480
aqua_rat
cc480f8d-47a8-42f2-ba23-d3e32187d788
The North-South Express is a pair of trains between Jammu and Chennai. A train leaves Jammu for Chennai exactly at 12 noon everyday of the week. Similarly, there's a train that leaves Chennai bound for Jammu on everyday of the week exactly at 12 noon. The time required by a train to cover the distance between Chennai a...
[ "A)7", "B)8", "C)15", "D)16", "E)17" ]
C)15
aqua_rat
b4e484f7-1417-4aee-8e98-543209416c2f
0.99998+0.11112=?
[ "A)1", "B)1.0001", "C)1.0021", "D)1.1111", "E)1.111" ]
D)1.1111
aqua_rat
1f10770f-70f3-4923-8fcd-c34497af41de
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
[ "A)120 gallons", "B)200 gallons", "C)170 gallons", "D)180 gallons", "E)250 gallons" ]
A)120 gallons
aqua_rat
16ef2b58-d2c8-4831-862e-81394bbdd5ee
In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
[ "A)24", "B)26", "C)42", "D)46", "E)48" ]
A)24
aqua_rat
07dcbb88-d06e-47bf-b1c2-9cc12262eb0f
At present the ratio between the ages of Arun and Deepak is 2:5. After 10 years Arun's age will be 30 years. What is the age of the Deepak?
[ "A)20", "B)40", "C)50", "D)60", "E)45" ]
C)50
aqua_rat
3cba191b-3b9a-42d1-81fd-3f25b9ca31f5
Fifthty percent of the members of a swim club have passed the lifesaving test. Among the members who havenotpassed the test, 10 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?
[ "A) 60", "B) 80", "C) 100", "D) 120", "E) 140" ]
B) 80
aqua_rat
4e9f283d-4aaa-4632-a72f-8c18d811a489
How many words of 3 letters can be formed from the letters "AABBCC"?
[ "A)18", "B)21", "C)24", "D)27", "E)29" ]
C)24
aqua_rat
36da39c8-7979-4e77-892c-5b97043949ca
Which of the following numbers is not prime?
[ "A)79+52", "B)33+88", "C)166-3", "D)100+67", "E)50-7" ]
B)33+88
aqua_rat
270c3bb6-9a5b-4f5f-b079-88f96ca5baaa
Which of the following triples of numbers have the same standard deviation as the numbers u, v and w? I. u-2, v-2, w-2 II. 0, u-v, w-v III. u-4, v+5, w-1
[ "A)I only", "B)II only", "C)I and III only", "D)II and I only", "E)I, II, and III" ]
D)II and I only
aqua_rat
ede85e8a-2ce9-4467-8e4d-78a4f03624ca
AAA manufacturing owns 2 plants. Tikon plant and Mikon plant. The policy is that 50% of all workers get bonuses every year. If the ratio of employees at the plants is 3:2, respectively, and the percentage of employees getting bonuses at Tikon is 55%, what percentage of employees at Mikon get bonuses?
[ "A)42.5%", "B)56%", "C)25.5%", "D)55%", "E)22.5%" ]
A)42.5%
aqua_rat
a1d8f09c-79bf-4032-b0ef-04af49c9d7c1
The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is?
[ "A)6! * 7P7", "B)6! * 7P6", "C)6! * 7P1", "D)6! * 7P5", "E)6! * 7P2" ]
B)6! * 7P6
aqua_rat
926fa279-16b8-447f-9e30-350525b6140a
A ferry can transport 50 tons of vehicles. Automobiles range in weight from 1,800 to 3,200 pounds. What is the greatest number of automobiles that can be loaded onto the ferry?
[ "A)23", "B)55", "C)48", "D)62", "E)70" ]
B)55
aqua_rat
5d47e057-c583-42f9-929f-3e2b855bc8c0
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 99 km/hr. What is the length of the platform?
[ "A)440", "B)488", "C)477", "D)426", "E)422" ]
A)440
aqua_rat
29884623-7417-429a-844d-82b4e8b4151c
A certain rectangular crate measures 6 feet by 8 feet by 10 feet. A cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. What should the radius of the tank be if it is to be of the largest possible volume?
[ "A)4", "B)4", "C)6", "D)8", "E)10" ]
B)4
aqua_rat
9cb0c9c3-5598-4569-9f53-00da4ba84765
The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
[ "A)70,10 kmph", "B)78,10 kmph", "C)70,70 kmph", "D)78,10 kmph", "E)70,12 kmph" ]
A)70,10 kmph
aqua_rat
dc4cc0d9-2dd7-4c43-b51a-d505573882e9
In filling a lot with sand, that is 40 m * 20 m * 2m the volumes of the sand filled will be?
[ "A)1200 cu.m", "B)2200 cu.m", "C)4800 cu.m", "D)1600 cu.m", "E)4000 cu.m" ]
D)1600 cu.m
aqua_rat
57622652-a091-4162-bca2-4a8565fabe31
what is the smallest integer that is multiple of 5,7,20
[ "A)70", "B)35", "C)200", "D)280", "E)140" ]
E)140
aqua_rat
bc1a1ee8-456c-499a-8a10-d92c4cef17e9
One student's mark was wrongly entered as 73 instead of 63. Due to that the average marks for the class got increased by 1/3. What is the number of students in the class?
[ "A)30", "B)32", "C)35", "D)40", "E)45" ]
A)30
aqua_rat
f48c63c1-177c-4490-b5f9-3243c0f9329e
A person walks at a speed of 4 km/hr and runs at a speed of 8 km/hr. How many hours will the person require to cover a distance of 12 km, if the person completes half of the distance by walking and the other half by running?
[ "A)1.25", "B)1.75", "C)2.25", "D)2.75", "E)3.25" ]
C)2.25
aqua_rat
bbc1e384-2716-4bbe-a7c0-77f5235b1716
The average age of a class is 15.8 years. The average age of boys in the class is 16.4 years while that of girls is 15.4 years. What is the ratio of boys to girls in the class?
[ "A)1:2", "B)3:4", "C)3:5", "D)2:3", "E)None of these" ]
D)2:3
aqua_rat
53834c7a-b662-49f2-8122-ec095f489560
When positive integer n is divided by 3, the remainder is 1. When n is divided by 5, the remainder is 3. What is the smallest positive integer k such that k+n is a multiple of 15?
[ "A)2", "B)4", "C)6", "D)8", "E)10" ]
A)2
aqua_rat
de7289b8-9d38-4245-9f12-e7512626dd94
How many three-digit integers exist such that all their digits are odd?
[ "A)80", "B)100", "C)120", "D)125", "E)135" ]
D)125
aqua_rat
e9ff7c8d-84c4-46d7-8e0e-209da645ca9b
A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weights 8g/cm cube, then find the weight of the pipe.
[ "A)3.696 kg", "B)3.686 kg", "C)2.696 kg", "D)2.686 kg", "E)None of these" ]
A)3.696 kg
aqua_rat
b0098240-1593-4039-9c00-25eb4be93e9f
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
[ "A)Rs. 6825", "B)Rs. 6721", "C)Rs. 6725.", "D)Rs. 4298", "E)Rs. 6729" ]
C)Rs. 6725.
aqua_rat
3ee965d2-fed6-4c05-8b05-ccee3b7e4305
Two cards are selected at random from 10 cards numbered 1 to 10. Find the probability that the sum is odd if two cards are drawn together.
[ "A)11", "B)88", "C)77", "D)19", "E)17" ]
C)77
aqua_rat
ab31a4f9-c93a-4816-b8ce-99d17e0f79f7
A man sitting in a train which is traveling at 50 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed.?
[ "A)50 kmph", "B)58 kmph", "C)62 kmph", "D)65 kmph", "E)75 kmph" ]
C)62 kmph
aqua_rat
6a472ae7-6bc6-48ad-bad5-350871a770b5
The ratio of males to females in a class is 2:3. The career preferences of the students in the class are represented in a circle graph. If the area of the graph allocated to each career preference is proportional to the number of students who have that career preference, how many degrees of the circle should be used to...
[ "A)120", "B)126", "C)132", "D)138", "E)144" ]
B)126
aqua_rat
bbe8de08-efba-41ea-b699-80cebce029b1
On a sum of money, the S.I. for 2 years is Rs. 660, while the C.I. is Rs. 696.30, the rate of interest being the same in both the cases. The rate of interest is?
[ "A)10%", "B)10.5%", "C)12%", "D)13%", "E)None of these" ]
D)13%
aqua_rat
77fc611c-a316-4324-941d-7ee4a8111feb
Jonathan can type a 50 page document in 40 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document?
[ "A)5 minutes", "B)10 minutes", "C)15 minutes", "D)18 minutes", "E)20 minutes" ]
B)10 minutes
aqua_rat
2f8c1c4a-810a-4e9b-bfba-f355dddd8795
A wheel that has 6 cogs is meshed with a larger wheel of 21 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is:
[ "A)9", "B)10", "C)6", "D)8", "E)7" ]
C)6
aqua_rat
c52e8513-9a3f-4b39-bcce-69c9565cd89b
What is the sum of all the multiples of 9 between 0 and 99?
[ "A)500", "B)594", "C)450", "D)340", "E)440" ]
B)594
aqua_rat
d4dc87d6-b32c-4474-b061-f477effe6f76
Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?
[ "A)33", "B)27", "C)20", "D)98", "E)21" ]
C)20
aqua_rat
9a3d4401-07d5-4b78-8422-8547a4a77d4f
A can do a piece of work in 3 hours; B and C together can do it in 6 hours, while A and C together can do it in 9 hours. How long will B alone take to do it?
[ "A)4 9/7 hours", "B)3 5/7 hours", "C)2 4/7 hours", "D)3 8/7 hours", "E)none of the above" ]
C)2 4/7 hours
aqua_rat
487bc3ae-4f70-4779-9d88-ce2e6ca113e2
If N is a positive integer and 14N/60 is an integer, then N has how many different positive prime factors?
[ "A)2", "B)3", "C)5", "D)6", "E)cannot be determined" ]
E)cannot be determined
aqua_rat
2b37c56e-4188-42fe-9b1f-2a83e70d8727
Calculate the value of 2.71 x 10^9 ?
[ "A)2710000000", "B)271000", "C)2710000", "D)27100000", "E)271000000" ]
A)2710000000
aqua_rat
f6876fbf-1a90-4392-b57b-ae5ed549f189
A is thrice good a workman as B and therefore is able to finish a job in 60 days less than B. Working together they can do it in?
[ "A)20", "B)22 ½", "C)25", "D)30", "E)40" ]
B)22 ½
aqua_rat
fce2e1ff-d9a6-4839-8e9c-61f6cc5c40c8
If s=(10^10)-47, what is the sum of all the digit of s?
[ "A)40", "B)45", "C)50", "D)55", "E)80" ]
E)80
aqua_rat
48724b38-3bc2-4518-b632-9ad59e6cbefa
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
[ "A)23 m", "B)23 (2/9)m", "C)27 (7/9)m", "D)29 m", "E)28 m" ]
C)27 (7/9)m
aqua_rat
784f3282-86a2-4b0b-8ba3-1350b42c2002
If the product of all the factors of a positive integer, N, is 2 ^ 18 * 3 ^ 12, how many values can N take?
[ "A)None", "B)1", "C)2", "D)3", "E)4" ]
B)1
aqua_rat
835e0bb7-d468-49f2-b30d-1236c62edcf7
Ramya took a loan of Rs. 1400 with simple interest for as many years as the rate of interest. If she paid Rs.686 as interest at the end of the loan period, Find the rate of the interest?
[ "A)5%", "B)6%", "C)4%", "D)3%", "E)7%" ]
E)7%
aqua_rat
99056dc5-7cb9-4f8e-b144-004aed24d958
MAN1 is 30% more efficient than MAN2. How much time will they, working together, take to complete a job which MAN1 alone could have done in 23 days?
[ "A)10 days", "B)12 days", "C)13 days", "D)14 days", "E)15 days" ]
C)13 days
aqua_rat
a84d960e-fcd0-409a-8137-cfc0605be63f
In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
[ "A)400", "B)500", "C)600", "D)530", "E)630" ]
B)500
aqua_rat
d25db359-acae-4cfd-ae5a-456e6af3c0b8
The cross-section of a water channel is a trapezium in shape. If the channel is 14 meters wide at the top and 8 meters wide at the bottom and the area of cross-section is 990 square meters, what is the depth of the channel (in meters)?
[ "A)50", "B)60", "C)70", "D)80", "E)90" ]
E)90
aqua_rat
eefaba36-7660-4baa-990c-c4ca1d05b006
Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
[ "A)10years", "B)12 years", "C)5 years", "D)3 years", "E)24 years" ]
D)3 years
aqua_rat
7f41a132-c5fb-4096-a9fd-fb011d2b71c4
There are 6 gentlemen and 3 ladies to dine at a round table. In how many ways can they seat themselves so that no two ladies are seated together.
[ "A)8540", "B)3640", "C)2880", "D)3880", "E)88600" ]
C)2880
aqua_rat
74b635cb-b9e3-4745-80db-8d159c3fe7ff
A regular octagon is inscribed in a circle. If A and B are adjacent vertices of the pentagon and O is the center of the circle, what is the value of ∠OAB ?
[ "A)48 degrees", "B)54 degrees", "C)67.5 degrees", "D)84 degrees", "E)108 degrees" ]
C)67.5 degrees
aqua_rat
56641439-2dc6-43be-95d5-924e9c423b57
Given distinct positive integers 1, 10, 3, x, 2, and 9, which of the following could be the median?
[ "A)3", "B)4", "C)7", "D)8", "E)9" ]
B)4
aqua_rat
1adad1c9-17d6-48c3-87c1-59caa9f7bad9
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 36 kmph. In how much time will the trains cross each other?
[ "A)12 sec", "B)13 sec", "C)15 sec", "D)16 sec", "E)17 sec" ]
D)16 sec
aqua_rat
cc8bb2db-8979-4b8d-853b-6023278cd65c
The sides BC, CA, AB of triangle ABC have 3, 4, 5 interior points respectively on them. How many triangles can be formed using these points as vertices.
[ "A)200", "B)205", "C)400", "D)410", "E)420" ]
B)205
aqua_rat
108a2f5b-3536-4bdc-9224-8b740285a6f2
The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
[ "A)9000", "B)9400", "C)9600", "D)9800", "E)9700" ]
C)9600
aqua_rat
98d8710f-1da5-49c2-975b-6464f73bad7c
find two integers, neither of which ends in a zero, and whose product is exactly 1,000
[ "A)64 and 15,625", "B)60 and 15,625", "C)8 and 125", "D)64 and 15,635", "E)64 and 16,625" ]
C)8 and 125
aqua_rat