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big_math_dataset

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The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
An aeroplane covers a certain distance at a speed of 300 kmph in 6 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
If each edge of cube increased by 30%, the percentage increase in
In how many different number of ways a combination of 3 men and 2 women can be selected from 6 men and 5 women?
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?
The average salary per month of 55 employees in a company is Rs 8500. If the managers salary is added, the average salary increases to Rs 8800, what is the salary of the manager ?
The contents of a certain box consist of 24 plums and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be plums?
A sum of money at simple interest amounts to Rs. 815 in 4 years and to Rs. 854 in 5 years. The sum is:
9 engines consume 24 metric tonnes of coal, when each is working 8 hours day. How much coal is required for 8 engines, each running 13 hours a day, if 3 engines of former type consume as much as 4 engines of latter type?
Operation#is defined as adding a randomly selected two digit multiple of 8 to a randomly selected two digit prime number and reducing the result by half. If operation#is repeated 10 times, what is the probability that it will yield at least two integers?
16 men can complete a piece of work in 25 days. In how many days can 20 men complete that piece of work?
Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled ?
A certain club has exactly 5 new members at the end of its first week. Every subsequent week, each of the previous week's new members (and only these members) brings exactly M new members into the club. If y is the number of new members brought into the club during the twelfth week, which of the following could be y?
The average age of a family of 6 members is 24 years.If the age of the youngest member is 8 years,what was the average age of the family at the birth of the youngest member?
If log 0.318=0.3364 and log 0.317=0.33320 then log 0.319 =?
in a certain flower shop, which stocks four types of flowers, there are 1/4 as many violets as carnations, and 1/4 as many tulips as violets. If there are equal numbers of roses and tulips, what percent of the flowers in the shop are carnations?
The length of a rectangular floor is more than its breadth by 100%. If Rs. 600 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:
The length of a rectangular plot is thrice its width. If the area of the rectangular plot is 588 sq meters, then what is the width (in meters) of the rectangular plot?
When Alice entered the Forest of Forgetfulness, she forgot the day of the week. She met the Lion and the Unicorn resting under a tree. The Lion lies on Mondays, Tuesdays and Wednesdays and tells the truth on the other days of the week. The Unicorn, on the other hand, lies on Thursdays, Fridays, and Saturdays, but tells...
A furniture manufacturer has two machines, but only one can be used at a time. Machine Q is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine Q can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts...
A circular metal plate of even thickness has 12 holes of radius 1 cm drilled into it. As a result the plate lost 1/6th its original weight. The radius of the circular plate is
Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
By selling 100 pens, a trader gains the cost of 30 pens. Find his gain percentage?
How many integers are between 7 and 57/4, inclusive?
If the sum of 6 consecutive integers is y, which of the following must be true? I. y is an even number II. y is an odd number III. y is a multiple of 6
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 126 km/hr, what is the length of the platform?
If f(x) = 12 - x^2/2 and f(2k) = 6k, what is one possible value for k?
Two sides of triangle are ln(50) and ln(8), third side is ln(n). Find out the number of possible values of n?
If two different numbers are randomly selected from set { 1, 2, 3, 4, 5} what is the probability that the sum of the two numbers is greater than 4?
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
If Jane takes 12 seconds to run y yards, how many minutes will it take her to run x yards at the same rate?
List K consists of 10 consecutive integers. If -4 is the least integer in list K, what is the range of the positive integers in list K?
The cash realised on selling a 14% stock is Rs.101.25, brokerage being 1/4% is
A boat can travel with a speed of 5km/hr in still water. If the speed of the stream is 5km/hr, find the time taken by the boat to go 100km downstream.
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A can have a piece of work done in 15 days, B can work three times faster than the A, C can work two times faster than A. How many days will they take to do the work together ?
The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
A certain company consists of 8 managers and 8 non-managers. How many different teams of 3 employees can be formed in which at least one member of the team is a manager and at least one member of the team is not a manager? (Two groups are considered different if at least one group member is different)
The length of a rectangle is four times its width. If the area is 100 m2 what is the length of the rectangle?
The average weight of A, B and C is 46 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2415?
A sum of money at simple interest amounts to $ 980 in 3 years and to $1024 in 4 years. The sum is:
A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
A train running at the speed of 60 km/hr crosses a pole in 15 seconds. Find the length of the train?
(469 + 174)2 - (469 - 174)2 /(469 x 174)=?
What is the sum of all the composite numbers up to 20?
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 72 kmph. After how much time will the trains meet?
A boy has five trousers and 14 shirts. In how many different ways can he select a trouser and a shirt?
If the cost of 8 erasers and 5 sharpeners is Rs.31/-, what will be the cost of 24 erasers and 10 sharpeners?
In how many ways can the letters of word DEVELOP be arranged such that all the vowels as well as all the Consonants always appear together?
Cole drove from home to work at an average speed of 75 kmh. He then returned home at an average speed of 105 kmh. If the round trip took a total of 6 hours, how many minutes did it take Cole to drive to work?
A dice has one of the first 4 prime number on each its six sides ,with no two sides having the same number .the dice is rolled 10 times and the results added.the addition is most likely to be closet to
Sarah operated her lemonade stand Monday through Friday over a two week period and made a total profit of 350 dollars. On hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days. Each cup she sold had a total cost of 75 cents and Sarah did not incur any other costs. If every day ...
Akhil borrowed a certain sum of money at the rate of 6%, 9% and 14% for a period of first two years, next three years and beyond the period of five years respectively. If at the end of nine years, he paid Rs. 8550 as interest, then find the sum of money he had borrowed.
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
An alchemist discovered that the formula expressing the correct proportions needed to turn ordinary metal into gold is G = 3/2M + 15, where G is the number of gold bars and M is the number of metal bars. If a metal bar weighs twice as much as a gold bar, how many metal bars will yield an equal weight of gold
Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number
In a class, the average age of 45 boys is 18 years and the average of 35 girls is 15 years. what is the average age of the whole class?
40, 45, 50, 50, 60, 75, 75, 100, 100, 100. The list above shows the scores of 10 schoolchildren on a certain test. If the standard deviation of the 10 scores is 22.7, rounded to the nearest tenth, how many of the scores are more than 1 standard deviation below the mean of the 10 scores?
I chose a number and divide it by 6. Then I subtracted 15 from the result and got 5. What was the number I chose?
A rich merchant had collected many gold coins. He did not want anybody to know about them. One day, his wife asked, “How many gold coins do we have?” After pausing a moment, he replied, “Well! If I divide the coins into two unequal numbers, then 37 times the difference between the two numbers equals the difference betw...
How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
If 145% of j is equal to 25% of k, 160% of k is equal to 50% of l, and 175% of l is equal to 75% of m, then 40% of m is equal to what percent of 200% of j ?
A sum fetched total simple interest of 4016.25 at the rate of 14 p.c.p.a. in 5 years. What is the sum?
Average Age of residents of a colony is 38 years with Standard deviation of 5 years If Mr.X's age lies within 2 SD from mean and Mr.Y's age lies within 1 SD from mean then find maximum values of (X/Y) = ?
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9hours. If both the taps are opened simultaneously then after how much time will the cistern get filled?
Find the simple interest on Rs 7000 at 50/3 % for 9 months
Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
If the selling price is septuple,the profit is octupled,what is the percentage of profit??
N is a positive integer. When N + 1 is divided by 3, the remainder is 2. What is the remainder when N is divided by 3?
Find the odd man out. 1,8,27,60,125
On dividing 161 by a number, the quotient is 10 and the remainder is 1. Find the divisor.
A metallic sphere of radius 24 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
A car travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. What is the average speed for the first 320 km of the tour?
The edges of cuboid are 4 cm; 5 cm and 6 cm. Find its surface area?
The EastBank Choir out sold the WestBank Choir by 40% of the 100 boxes of donuts they ordered. The EastBank Choir hustled and made all of the last sales closing the sale with an average of only 25%. How many more sales did the choir make to reach this average?
A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture
Which of the following integers is NOT a divisor of x if x = (21)(3^7) – (127)?
The average of the two-digit numbers, which remain the same when the digits interchange their positions, is?
A certain sum of money at simple interest amounted Rs.870 in 10 years at 3% per annum, find the sum?
Find the compound ratio of (2:3), (6:11) and (11:6) is
A three-person committee must be chosen from a group of 7 professors and 20 graduate students. If at least one of the people on the committee must be a professor, how many different groups of people could be chosen for the committee?
When 5% is lost in grinding wheat, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of wheat, which grows in the country?
The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 40 kms. what was the total distance traveled in 12 hours?
he average of 10 numbers is 23. If each number is increased by 4, what will the new average be?
If x is a positive integer, and two sides of a certain triangle have lengths 5x+1 and x respectively, which of the following could be the length of the third side of the triangle? I. x + 1 II. x + 0 III. 8x
A certain list consists of 21 different numbers. If n is in the list and n is 7 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?
The smallest of three consecutive even integers is 40 less than three times the largest. What is the largest of these integers?
A car after travelling 100 km from point A meets with an accident and then proceeds at 3/4 of its original speed and arrives at the point B 90 minutes late. If the car meets the accident 60 km further on, it would have reached 15 minutes sooner. Find the original speed of the train?
A 220 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
A restaurant has 89 yellow dishes and 11 white dishes. If I go there with my wife, and we ordered one service each one, what is the probability that both dishes will be white?
The average of 9 numbers is 13.8. If the average of the first five numbers is 13.6 and that of the last five numbers is 13.4,then the middle number is?
A bank offers 4.5% compound interest calculated on half-yearly basis. A customer deposits $ 1500 in 1st month. At the end of the year, the amount he would have gained by way of interest is?
According to a survey, at least 80% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?
What is the volume of an tetrahedron with edge length of 1?
Solve the given two equations and find the inequality of X and Y. (a) 225X^2-4 = 0 and (b) (225y)^(1/2) +2 = 0
A sum of Rs. 1800 amounts to Rs. 9000 in 4 years at the rate of simple interest. What is the rate of interest?
Look at this series: 14, 7, (7/2), (7/4), ... What number should come next?
A pharmacist has 4 quarts of a 15% solution of iodine. How much alcohol must be added to reduce it to a 10% solution of iodine?