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big_math_dataset

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10(150) ÷ 10(146) = ?
P, Q and R have Rs.6000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
A 180 meter long train crosses a man standing on the platform in 12 sec. What is the speed of the train?
A number is doubled and 8 is added. If the resultant is trebled, it becomes 84. What is that number?
If the height of a cone is increased by 100% then its volume is increased by?
How many positive integers less than 120 are there such that they are multiples of 13 or multiples of 12 but not both?
A survey was sent to 75 customers, 7 of whom responded. Then the survey was redesigned and sent to another 60 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?
A committee is composed of w women and m men. If 3 women and 3 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by
A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 20 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word ‘SACHIN’ appears at serial number?
In a certain parking lot, 5% of the cars are towed for parking illegally. However 80% of the cars which are parked illegally are not towed. What percentage of cars in the parking lot are parked illegally?
In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together?
How many even number in the range between 10 to 150 inclusive are not divisible by 3
How many cases do you need if you have to pack 112 pairs of shoes into cases that each hold 28 shoes?
6 points are marked on a straight line and another 5 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
4,7,11,18,29,47,...?..,123,199
Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.60 a kg to produce a mixture worth Rs. 6.30 a kg
We invested a total of $1,000. We invested one part of the money at 5% and the rest of the money at 6%. The total investment with interest at the end of the year was $1,054.50. How much money did we invest at 5%?
James 5 days earnings are {500, 650, 750, 800, 850 }, how much less is the mean of the earnings of James than the median of the earnings of James?
Denise is trying to open a safe whose combination she does not know. IF the safe has 4000 possible combinations,and she can try 100 different possibilities,what is the probability that she does not pick the one correct combination.
A metallic sheet is of rectangular shape with dimensions 50 m x 30 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 5 m, the volume of the box (in m cube) is:
How many multiples of 6 are less than 3600, and also multiples of 36?
A can finish a work in 12days and B can do the same work in half the time taken by A. Then, working together what part of the same work they can finish in a day?
A business school club, Friends of Foam, is throwing a party at a local bar. Of the business school students at the bar, 40% are first year students and 60% are second year students. Of the first year students, 40% are drinking beer, 30% are drinking mixed drinks, and 30% are drinking both. Of the second year students,...
V and B are integers. The expression (V+1)(B+1) is even. What can be said about V and B?
A certain company charges $10 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $10 plus $3 per pound. If the company charged $31 to ship a certain package, which of the following was the weight of the package, in pounds?
A mother said to her daughter, “I was as old as you are at now at the date of your birth.” If the mother’s age is 38 years now, the daughter’s age 5 years back was?
In the class of 100 students, 50 speak Hindi and 70 speak English. What is the lowest possible number of students who speak both the languages?
In an electric circuit, two resistors with resistances M and N are connected in parallel. In this case, if P is the combined resistance of these two resistors, then the reciprocal of P is equal to the sum of the reciprocals of M and N. What is P in terms of M and N?
A batsman in his 10th innings makes a score of 85, and thereby increases his average by 3. What is his average after the 10th innings? He had never been ’not out’.
The sum of two numbers is 20 and their difference is 10. Find their product.
Of the 150 people at a party, 70 were women, and 30 women tried the appetizer. If 60 people did not try the appetizer, what is the total number of men who tried the appetizer?
In the city of San Durango, 40 people own cats, dogs, or rabbits. If 20 people owned cats, 30 owned dogs, 10 owned rabbits, and 10 owned exactly two of the three types of pet, how many people owned all three?
In a group of 6 boys and 4 girls, four children are to be selected. In how many ways can they selected that at least one boy should be there?
Rounded to three decimal places, 1.006^4 =
The least number which when add 3 to it, completely divided 8, 12 and 18 is?
A cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?
A developer has land that has x feet of lake frontage. The land is to be subdivided into lots, each of which is to have either 80 feet or 100 feet of lake frontage. If 1/9 of the lots are to have 80 feet of frontage each and the remaining 48 lots are to have 100 feet of frontage each, what is the value of x ?
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 42 as quotient. What is the correct quotient ?
The ratio between the speeds of two trains is 3 : 8. If the second train runs 600 kms in 6 hours, then the speed of the first train is
How many prime numbers exist in 67 x 353 x 1110 ?
A car owner buys petrol at 7.50, 8.00 and 8.50 per litre for three successive years. What approximately is his average cost per litre of petrol if he spends 4000 each year?
What least number should be added to 1022, so that the sum is completely divisible by 25?
Indu gave Bindu Rs.2500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 2% per annum simple interest?
In a simultaneous throw of a pair of dice, find the probability of getting a total more than 9
If 'x' is a positive integer exactly divisible by 6 or 15 but not divisible by 12.What could possibly be the value of 'x' ?
The ration between the present ages of P and Q is 6:7. If Q is 4 years older than P, what will be the ratio of the ages of P and Q after 4 years?
How many R ways can Jason sit with his five friends in a row of six seats with an aisle on either side of the row, if Jason insists on sitting next to one of the aisles?
The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?
If s is three times larger than n , and if 2n+3 is 20% of 25, what is the value of ?
When 52416 is divided by 312, the quotient is 168. what will be the quotient when 52.416 is divided by 0.68?
A man buys a cycle for Rs. 1600 and sells it at a loss of 15%. What is the selling price of the cycle?
The average earning of amechanic for the first 4days of a week is Rs.53 and for the last four days is Rs.22. If heearns Rs.20 on the fourth day, his average earning forthe whole week is?
A certain collage has total of 410 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects?
The volumes of two cones are in the ratio 1 : 15 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
What is the smallest no. which must be added to 27452 so as to obtain a sum which is divisible by 9?
The monthly rent of a shop of dimension 10feet × 10feet is Rs.1300. What is the annual rent per square foot of the shop?
For every integer n ≥ 3, the function h(n) is defined as the product of all the odd integers from 1 to n, inclusive. What is the value of h(102) – h(101)?
A boy swims downstream 48 km and upstream 12 km taking 6 hours each time; what is the speed of the current?
Which of the following integers has the most number of divisors?
In western Europe, C bicycles were sold in each of the years 1990 and 1993. The bicycle producers of Western Europe had a 42 percent share of this market in 1990 and a 33 percent share in 1993. Which of the following represents the decrease in the annual number of bicycles produced and sold in Western Europe from 1990 ...
In what ratio must tea at Rs. 62 per Kg be mixed with tea at Rs. 72 per Kg so that the mixture must be worth Rs. 64.50 per Kg?
During a Thanksgiving weekend, a car rental company rented eight-tenths of their vehicles, including three-fifths of the 4WDs that it had. If 40% of the vehicles are 4WDs, then what percent of the vehicles that were not rented were not 4WDs?
The greatest number that divides 690 and 875 leaving remainders 10 and 25 respectively is:
In a simultaneous throw of 2 dice, what is the probability of getting a total of 10 or 11?
If a person walks at 14 miles/hr instead of 10 miles/hr, he would have walked 20 miles more. The actual distance traveled by him is:
The first five numbers in a regular sequence are 4, 11, 25, 53, and 109. What is the next number in the sequence?
A report consists of 20 sheets each of 55 lines and each such line consist of 65 characters. This report is retyped into sheets each of 65 lines such that each line consists of 70 characters. The percentage reduction in number of sheets is closest to
How many seconds will a 800 m long train take to cross a man walking with a speed of 5 km/hr in the direction of the moving train if the speed of the train is 65 km/hr?
In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together?
The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is?
In a certain city, 70 percent of the households have cable television, and 60 percent of the households have videocassette recorders. If there are 150,000 households in the city, then the number of households that have both cable television and videocassette recorders could be any number from:
A cyclist traveled for two days. On the second day the cyclist traveled 4 hours longer and at an average speed 10 mile per hour slower than she traveled on the first day. If during the two days she traveled a total of 210 miles and spent a total of 12 hours traveling, what was her average speed on the second day?
If 853,845 bars of chocolate need to be placed in little boxes and each box can contain at most 9 bars of chocolate. How many bars of chocolate will be in the last unfilled box?
For any triangle T in the xy–coordinate plan, the center of T is defined to be the point whose x–coordinate is the average (arithmetic mean) of the x–coordinates of the vertices of T and whose y–coordinate is the average of the y–coordinates of the vertices of T. If a certain triangle has vertices at the points (0,0) a...
If st = 3(s+ 1) + t and s and t are integers, s could be any of the following values EXCEPT:
A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
When the smallest of 3 consecutive odd integers is added to four times the largest, it produces a result 729 more than 4times the middle integer. Find the numbers?
Find the sum of all 4 digit numbers formed using digits 1,2,5,6.
Excluding stoppages, the speed of a bus is 65 kmph and including stoppages, it is 48 kmph. For how many minutes does the bus stop per hour?
If pqr = 0 , qrs = 0 , and spr = 1, which of the following must be zero?
The average weight of 8 persons increases by 1.5kg when a person weighting 65kg is replaced by a new person. What could be the weight of the new person?
In how many ways can the letters of the word FINISHED be arranged?
If xy = 3(x + 1) + y and x and y are integers, x could be any of the following values EXCEPT:
If x is negative and y is positive, which of the following cannot be positive?
A man's basic pay for a 40 hour week is Rs.20. Overtime is paid for at 25% above the basic rate. In a certain week he worked overtime and his total wage was Rs.25. He therefore worked for a total of :
A certain auto manufacturer sold 6% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.6 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
Marketing executives for a certain chewing gum company projected a 40 percent increase in revenue this year over that of last year, but revenue this year actually decreased by 30%. What percent of the projected revenue was the actual revenue ?
A die is rolled twice. What is the probability of getting a sum equal to 12?
A shoe shop sells four different brands of shoes( brand A, B,C and D), I) brand A cost 5% less than brand B II) brand C cost 15% less than brand A III) brand D cost 10% less than brand C what percent of brand B's cost is brand D?
(2.3)(0.001)(2.2)(0.01)=?
A man can row his boat with the stream at 6 km/h and against the stream in 3 km/h. The man's rate is?
The average (arithmetic mean) of four numbers is 5x + 3. If one of the numbers is 2x, what is the average of the other three numbers?
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 1000 m long?
If 1,500 is increased by 20%, and then reduced by y%, yielding 1,080, what is y?
Working alone, machine X can manufacture 1,000 nails in 10 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 1,000 nails working alone?
The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.20 lacs . How many workers were they?