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big_math_dataset

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Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was?
How many seconds will a 600 m long train take to cross a man walking with a speed of 4 km/hr in the direction of the moving train if the speed of the train is 64 km/hr?
Which of the following is true about 0<4x-|x|<5?
A shopkeeper sold an book offering a discount of 5% and earned a profit of 25%. What would have been the percentage of profit earned if no discount was offered?
Let N = 18p, where p is a prime number greater than 2. How many odd numbers divide N?
A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
What is the units digit of (3^5)(4^13)?
Each digit 1 through 5 is used exactly once to create a 5-digit integer. If the 3 and the 4 cannot be adjacent digits in the integer, how many 5-digit integers are possible?
If an integer n is to be chosen at random from the integers 1 to 88, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 8?
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 620 m long?
A trader sells 40 metres of cloth for Rs.8200 at a profit of Rs.15 per metre of cloth. How much profit will the trder earn on 40 metres of cloth?
A train starts full of passengers at the first station it drops 1/3 of the passengers and takes 280 more at the second station it drops one half the new total and takes twelve more. On arriving at the third station it is found to have 240 passengers. Find the no of passengers in the beginning?
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 certain pair of used shoes can be repaired for $11.50 and will last for 1 year. A pair of the same kind of shoes can be purchased new for $28.00 and will last for 2 years. The average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes?
A man can row with a speed of 15 kmph in still water. If the stream flows at 1 kmph, then the speed in downstream is?
Both the roots of the equation (x - b)(x - c) + (x - b)(x - a) + (x - a)(x - b) = 0
Jacob is 16 years old. He is 2 times as old as his brother. How old will Jacob be when he is twice as old?
Jaya can do a work in 10 days while Mahe can do the same work in 15days. Both of them finish the work together and get $300. What is the share of Jaya?
A departmental store has 4 managers and 16 associates. The 4 managers have an average salary of $900. The 16 associates have an average salary of $10,000. What is the average salary for the departmental store?
Ten years ago A was half of B’s Age. If ratio of their present ages is 3:4 then what is the total of their present ages?
There are two containers on a table. A and B. A is half full of wine, while B,which is twice A's size, is one quarter full of wine. Both containers are filled with water and the contents are poured into a third container C. What portion of container C's mixture is wine?
Fill in the missing number: 18 14 12 11 10.5 ?
What is the number of 7-element subsets of the set {1, 2, 3, 4, 5, 6, 7, 8, 9} for which the sum of those 7 elements is a multiple of 3 ?
For what value of x, is |x – 3| + |x + 1| + |x| = 10?
Two dice are rolled. What is the probability the sum will be greater than 7?
A train 150m long takes 6 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train?
What number is missing? 27, 54, ?, 108, 135, 162, 189, 216
A ferry can transport 50 tons of vehicles. Automobiles range in weight from 1,600 to 3,200 pounds. What is the greatest number of automobiles that can be loaded onto the ferry?
The average of first 10 natural numbers is?
The sector of a circle has radius of 28 cm and central angle 135o. Find its perimeter?
In May, Xiang sold 15 used cars. For these 15 cars, the range of the selling price was $15,000 and the lowest selling price was $4,500. In June, Xiang sold 10 used cars. For these 10 cars, the range of the selling prices was $16,500 and the lowest selling price was $5,500. What was the range of the selling prices of th...
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
What will come in place of the x in the following Number series? 279936, 46656, 7776, 1296, 216, x
Two trains are moving in opposite direction @ 60 kmph and 90 kmph.Their lengths are 1.10 km and 0.9 km respectively.The time taken by the slower train to cross the faster train in seconds is
In a certain city, 70 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 80 percent of the registered voters who are Democrats and 30 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expec...
Find large number from below question The difference of two numbers is 1380. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
If X = the product of seven distinct prime numbers, how many factors does X have besides 1 and itself?
If k^3 is divisible by 336, what is the least possible value of integer k?
Set #1 = {A, B, C, D, E} Set #2 = {K, L, M, N, O} There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?
3 boys and 7 girls can complete John work in 10 days. 4 boys and 6 girls need 8 days to complete the same work . In how many days will 10 girls complete the same work?
Which of the following CANNOT be a value of 7/(x–7)?
A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?
The length of a rectangular landscape is 4times its breadth. There is a playground in it whose area is 1200 square mtr & which is 1/3rd of the total landscape. What is the length of the landscape?
If positive integer k is divided by 8, the quotient is m and the remainder is 2, then which of the following must be true? I. k + m is even II. k cannot be a prime number III. k is divisible by 4
If the difference between the compound interest & simple interest of a certain sum of money is Rs.72 at 12% p.a. per two year. Find the sum(in Rs.)?
What number has a 5:1 ratio to the number 8?
Three unbiased coins are tossed. What is the probability of getting 3 heads?
Which of the following is equal to 2^k*7^(k-1)?
What distance will be covered by a bus moving at 126 kmph in 10 seconds?
A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 3 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?
A vendor sells 60 percent of apples he had and throws away 15 percent of the remainder. Next day he sells 50 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw?
The value of 1/(1-y) + 1/(1+y) + 2/(1+y^2) + 4/(1+y^4)
The average of 9 numbers is 7 and the average of 7 other numbers is 11. What is the average of all 16 numbers?
What is the sum of all the multiples of 10 between 0 and 100?
An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
An outlet pipe can empty 2/3 rd of a cistern in 12 minutes. In 5 minutes, what part of the cistern will be emptied?
In the manufacture of a certain product, 7 percent of the units produced are defective and 4 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale?
A grocer purchased 80 kg of rice at Rs. 13.50 per kg and mixed it with 120 kg rice at Rs. 16 per kg. At what rate per kg should he sell the mixture to gain 16%?
Three coins are tossed. What is the probability of getting at most two tails
Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?
Divide Rs.32000 in the ratio 3:3?
A pool which was 2/3 full to begin with, was filled at a constant rate for 1/3 hours until it was until it was 6/7 full. At this rate, how much time would it take to completely fill this pool if it was empty to begin with?
Roberto has three children: two girls and a boy. All were born on the same date in different years. The sum of the ages of the two girls today is smaller than the age of the boy today, but a year from now the sum of the ages of the girls will equal the age of the boy. six years from today, the difference between the ag...
A can do a job in 15 days and B can do it in 60 days. A and B working together will finish twice the amount of work in ------- days?
Arun obtained 76, 65, 82, 67 and 85 marks (out in 100) in English, Mathematics, Chemistry, Biology and Physics. What is his average mark?
A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5760 interest only for the period. The principal amount borrowed by him was:
The average of 10 numbers is 23. If each number is increased by 4, what will the new average be?
Pipes A and B can fill a tank in 5 and 7 hours. Pipe C can empty it in 12 hours. If all pipes are opened together, then the tank will be filled in?
The E train leaves station A moving at a constant speed, and passes by stations B and C, in this order. It takes the E train 7 hours to reach station B, and 5 additional hours to reach station C. The distance between stations A and B is m kilometers longer than the distance between stations B and C. What is the distanc...
A can complete a certain job in 9 days. B is 80% more efficient than A. In how many days can B complete the same job?
Fence X is twice as long as fence Y, and fence Y is 2 feet shorter than fence Z. If 4 feet were added to each fence, which of the following must be true? I) X is twice as long as Y. II) Y is 2 feet shorter than Z. III) X is longer than Z.
John’s grade was in the 80th percentile out of 70 grades in her class. In another class of 50 students there were 20 grades higher than John’s. If nobody had John’s grade, then John was what percentile of the two classes combined?
A can run 1 km in 3 min. 10 sec. and B can cover the same distance in 3 min. 20 sec. By what distance can A beat B ?
Increasing the original price of an article by 20 percent and then increasing the new price by 20 percent is equivalent to increasing the original price by
Ten family members are seated around their circular dinner table. If only arrangements that are considered distinct are those where family members are seated in different locations relative to each other, and Michael and Bobby insist on sitting next to one another, then how many distinct arrangements around the table a...
Simple interest at x% for x years will come out to be Rs x on a sum of Rs?
The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. What is the largest number?
If w is a positive integer, then 3^w + 3^(w +1) =
If two numbers are in the ratio 2:3. If 23 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
After running a series of television advertisements, a leading beverage producer saw its sales increase by 20% to $1 million dollars per month. Prior to the advertising campaign, about how many dollars in sales did the company average per day?
2 pipes function simultaneously the reservoir will be filled in 12hrs. One pipe fills reservoir 10hrs faster than other. How many hours does the faster pipe take to fill the reservoir?
A and B starts a business with Rs.8000 each, and after 7 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Magnabulk Corp sells boxes holding d magnets each. The boxes are shipped in crates, each holding b boxes. What is the price charged per magnet, in cents, if Magnabulk charges n dollars for each crate?
A certain sum earns simple interest of Rs. 800 in 2 years at a certain rate of interest. If the same sum earns compound interest of Rs. 845 in the same period of 2 years, What must be the rate of interest?
The number 523gbc is divisible by 7,8,9. Then what is the value of g*b*c
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
A car salesman earns a base salary of $800 per month plus a commission of $200 for each car he sells. If the car salesman earned $2200 in July, how many cars does he need to sell in August in order to double his July earnings?
If (1/5)^n * (1/4)^18 = 1/(2*(10)^35), then n =
The mean daily profit made by a shopkeeper in a month of 30 days was Rs. 350. If the mean profit for the first fifteen days was Rs. 225, then the mean profit for the last 15 days would be
Balloons and confetti are sold in different colours at a store. Balloons of three different colours and confetti of two different colours are to be bought by Jim Bob Jones from this store. If there are seven colours of balloons available and if there are a total of 350 combinations of different colours of balloons and ...
In a100m race A beats B by 25m B beats C by 4 then A beats C by
What is the remainder when 45*49 is divided by 8?
The length of the bridge, which a train 160 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
When the price of a radio was reduced by 20%, its sale increased by 80%. What was the net effect on the sale?
The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places)
If x, y, and z are negative integers and 3x - 3y = -3z, then which of the following statements must be true? I. x > y> z II. x = z III. x > y
A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 3 persons for the position of sales manager, 4 persons for the position of shipping clerk, and 10 persons for the position of receptionis...
A certain store sold pens for $0.35 each and pencils for $0.25 each. If a customer purchased both pens and pencils from the store for a total of $2.00, what total number of pens and pencils did the customer purchase?
Mr.Jones gave 40% of the money he had to his wife. he also gave 20% of the remaining amount to his 3 sons. half of the amount now left was spent on miscellaneous items and the remaining amount of Rs.12000 was deposited in the bank. how much money did Mr.jones have initially?