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big_math_dataset

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Kiran, an eight years old boy has 27 toys. He gave 19 toys to his brother Gourav, while Gourav playing all but 6 got destroyed. While Kiran playing all but 3 got destroyed. Finally how many toys left with both of them?
What is the units digit of (5!*5! + 6!*5!)/3?
A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
(x —1)(x + 3) > 0 (x +5)(x—4) < 0 Which of the following values of x satisfy both inequalities shown? I. 3 II. -4 III. 8 IV. 5
If x < 0 and 0 < y < 1, which of the following has the greatest value W?
Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
A class average mark in an exam is 70. The average of students who scored below 60 is 50. The average of students who scored 60 or more is 75. If the total number of students in this class is 20, how many students scored below 60?
In how many ways can Ann, Bob, Chuck, Don and Ed be seated in a row such that Ann and chuck are not seated next to each other?
The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is :
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Amithab's average expenditure for the January to June is Rs. 4200 and he spends Rs.1200 in January and Rs.1500 in july.The average expenditure for the months of febraury to July is
A taxi driver states that his cab number is divisible by the no 2,3,4,5,6 with a remainder of 1 and when the number is divided by 11 it does not give any remainder
Company S produces two kinds of radios: basic and deluxe. Of the radios produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 7/5 as many hours to produce a deluxe radio as it does to produce a basic radio, then the number of hours it took to produce the deluxe radio last month was what fraction of the total number of hours it took to produce all the radios?
A train 100 meters long completely crosses a 300 meters long bridge in 12 seconds. What is the speed of the train is?
John has on his shelf four books of poetry, four novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one reference work?
One student to pass the subject as probability 1/4. another man to get driving licence and student passed subject probability 1/6. find the probability man get driving licence.
In how many ways can be 5 boys and 5 girls sit around circular table so that no two boys sit next to each other?
R is the set of all positive integers x such that x^2 is a multiple of both 27 and 375. Which of the following integers must be a divisor of every integer x in R? I. 9 II. 15 III. 27
A waiter's salary consists of his salary and tips. During one week his tips were 5/4 of his salary. What fraction of his income came from tips ?
What will come in place of (a) in the following expression? a - 796.21 + 498.05 = 215.50 – 300.01
Mangala completes a piece of work in 30 days, Raju completes the same work in 45 days. If both of them work together, then the number of days required to complete the work is
In what time will a train 120 m long cross an electric pole, it its speed be 144 km/hr?
4 liters of a 20 percent solution of alcohol in water are mixed with 5 liters of a 10 percent alcohol in water solution. What is the percentage of alcohol in the new solution?
Amit and Ian paint a wall in alternating shifts. First Amit paints alone, then Ian paints alone, then Amit paints alone, etc. During each of his shifts, Amit paints 1/2 of the remaining unpainted area of the wall, while Ian paints 1/3 of the remaining unpainted area of the wall during each of his shifts. If Amit goes first, what fraction of the wall's area will remain unpainted after Amit has completed his 3th shift?
Company P had 15 percent more employees in December than it had in January. If Company P had 490 employees in December, how many employees did it have in January?
Today is Tuesday. A person wants to meet a lawyer and as that lawyer is busy he asks him to come three days after the before day of the day after tomorrow? On which day the lawyer asks the person to come?
Two vessels A and B contain milk and water mixed in the ratio 8:5 and 5:2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing milk and water in the ratio 9:4
There are 6 magazines lying on a table; 3 are fashion magazines and the other 3 are sports magzines. If 2 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazine will be selected?
Two employees X and Y are paid a total of Rs. 660 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
A certain sum of money at simple interest amounted Rs.850 in 10 years at 3% per annum, find the sum?
A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 14km?
800 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?
If the selling price of 50 articles is equal to the cost price of 25 articles, then the loss or gain percent is:
3 women and a few men participated in a chess tournament. Each player played two matches with each of the other players. If the number of matches that men played among themselves is 78 more than those they played with the women, how many more men than women participated in the tournament?
A train 110 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?
In the infinite sequence 50, 60, 70, 80, 90, . . . , where each term is 10 greater than the previous term, the 100th term is
If C.P. of 26 books is equal to S.P of 30 books , then your gain or loss is ?
Beth received 3/12 of the votes cast in a certian election. What franction of the other votes cast would she have needed in order to have received 1/2 of the votes cast?
Four barrels of water have an average capacity of 8 gallons. What is the maximum possible capacity of the smallest barrel Y if the median is 10 gallons?
A circular grass lawn of 35 metres in radius has a path 7 metres wide running around it on the outside. Find the area of path.
X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
In how many ways can three boys can be seated on five chairs?
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 600 resolutions?
We have a 630 ml of mixture of milk and water in the ratio 7:2. How much water must be added to make the ratio 7:3?
When the integer y is divided by 12, the remainder is 3. Which of the following, when divided by 12, will have a remainder of 6 ? I. 2y II. 6y III. 4y + 6
How many 5 letter words ( with or without meaning) can be formed using all the following 5 letters P,Q,R,V,and T so that letter P is to the left of letter R?
If s and t are positive integers such that s/t = 17.14, which of the following could be the remainder when s is divided by t ?
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 24 sec. What is the length of the platform?
How much interest will $8,000 earn in 9 months at an annual rate of 6%?
Today is Monday. After 61 days, it will be:
Line k is in the rectangular coordinate system. If the c-intercept of k is -2, and the y-intercept is 3, which of the following is an equation of line k?
The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is:
In an election between two candidates, one got 60% of the total valid votes, 30% of the votes were invalid. If the total number of votes was 9000, the number of valid votes that the other candidate got, was:
Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?
A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 50 paise per sq. metre
An article is bought for Rs.685 and sold for Rs.900, find the gain percent?
1/0.04 is equal to
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. What is the smaller number ?
All of the students of Music High School are in the band, the orchestra, or both. 70 percent of the students are in only one group. There are 111 students in the band. If 30 percent of the students are in the band only, how many students are in the orchestra only?
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother seven years younger to her was born. What is the difference between the ages of her parents?
In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 800 more than D, what is B's share?
A radio station has to choose two days of the seven in a week to broadcast a certain program, and that set will repeat each week. The program can be broadcast equally on any of the seven weekdays —- weekdays vs. weekends don’t matter at all —- nor does it matter whether the days the program airs are adjacent or not. Absolutely any two of the seven weekdays can be chosen. How many different two-day combinations of the seven weekdays can be constructed?
How many positive integers H less than 10,000 are such that the product of their digits is 210?
A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 45 percent of the pack would be outfielder cards?
If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between
A person buys an article at $600. At what price should he sell the article so as to make a profit of 8%?
A truck covers a distance of 550 metres in 1 minute whereas a train covers a distance of 33 kms in 45 minutes. What is the ratio of their speed?
How much time does a train 150 metres long running at 90 km/hr take to pass a pole?
Find the compound interest and the amount on Rs.4000 at 5% per annum for 3 years when C.I is reckoned yearly?
Karthikeyan arranged a party to celebrate his birth day.20 of his close friends were invited. One friend left before the cake was cut due to an urgent phone call.The big cake was drawing the attention of the party visitors. This cake is to be divided among friends and of course Karthikeyan will get his share. A man eats 3 pieces, a woman eats two pieces and a child eats half a piece of cake. Including Karthikeyan count the number of men,women and children in the party. There are 20 pieces of cake in all.
The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
Toby is four years younger than Debby. Thrice the sum of the ages of Toby and Debby equals their mother’s age. If the age of the mother is 60, find the ages of Toby and Debby?
In the youth summer village there are 100 people, 50 of them are not working,25 of them have families and 75 of them like to sing in the shower. What is the largest possible number of people in the village, which are working, that don't have families and that are singing in the shower?
An employee’s annual salary was increased $5,000. If her new annual salary now equals $70,000, what was the percent increase?
Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'?
Sum of two consecutive even terms lacks by 98 from their product. Find the sum of these numbers?
If $3000 was invested at an annual interest rate of 5.6% compounded annually, which of the following represents the amount the investment was worth after 3 years?
Working alone, machine X can manufacture 1,000 nails in 12 hours. Working together, machines X and Y can manufacture 1,000 nails in 5 hours. How many hours does it take machine Y to manufacture 800 nails working alone?
Four packages have an average weight of 12.5 pounds. What is the minimum possible weight of the heaviest package in pounds if the median is 8 pounds?
In what ratio must rice of Rs.16 per kg be mixed with rice of Rs.10 per kg so that cost of mixture is Rs.12 per kg?
A retailer buys 120 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1%, what is the profit % ?
Among 7 Numbers the Average of first four numbers is 13 and the average of last four numbers is 15. The sum of last three numbers is 55. The square of the fourth Number is equal to the last number then what is the last number?
which number need to add to 859622 to get a number divisible by 456?
(169)^2 - (168)^2 =
If 3 : 12 :: x : 16, then find the value of x
The average weight of a group of 30 friends increases by 1 kg when the weight of their football coach was added. If average weight of the group after including the weight of the football coach is 31 kg, what is the weight of their football coach?
At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 250-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $300?
If x, 3, 4, 5 are there and the range and median of them are the same, what is the value of x?
If one-third of one-fourth of a number is 15, then three-tenth of that number is
A man has Rs. 528 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Which of the following triples of numbers have the same standard deviation as the numbers x, y and z? I. x-2, y-2, z-2 II. 0,x-y, z-y III.x-4, y+5, z-1
The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
A man swims downstream 96 km and upstream 64 km taking 4 hours each time; what is the speed of the current?
Five gallons of a solution of vinegar and water with 8% vinegar is to be diluted with water to make a 4% vinegar mixture. How many gallons of water should be added?
A company has a job to prepare certain number of cans and there are three machines A, B and C for this job. A can complete the job in 2 days, B can complete the job in 8 days and C can complete the job in 10 days. How many days the company will it take to complete the job if all the machines are used simultaneously?
Three hoses work to fill a tub at at different rate. Hose E and B, working together, can fill the tub in 6/5 of an hour. Hoses E and C can fill it in 3/2 an hour. Houses B and C can fill it in 2 hours. How long does it take all 3 hoses, working together, to fill the tub? Edited for accurate solution
A team won 50 percent of its first 60 games in a particular season, and 80 percent of its remaining games. If the team won a total of 60 percent of its games that season, what was the total number of games that the team played?
If the price of an item is decreased by 30% and then increased by 30%, the net effect on the price of the item is
In how much time will a train of length 100 m, moving at 36 kmph cross an electric pole?