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big_math_dataset

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In how many ways can the letters of the word REPEAT be arranged?
If 3 : 7 :: x : 21, then find the value of x
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
A 2-year certificate of deposit is purchased for A dollars. If the certificate earns interest at a n annual rate of 6 percent compound quarterly, which of the following represents the value, in dollars, of the certificate at the end of 2 years?
At a meeting of the 8 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 8 Chiefs of Staff be seated around a circular table?
The amount of principal Rs.8000 at compound interest at the ratio of 5% p.a. for 6 years is
A customer went to a shop and paid a total of $40, out of which 90 cents was for sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A cricketer has certain average for 10 innings. In the 11 inning he scored 108 runs, there by increasing his average by 6 runs. His new average is
If n + 10 is a positive odd integer, which of the following must be true about the sum of the next four integers?
Last week Vartan spent 20 percent of his wages on recreation. This week, his wages are 20 percent less than last weekʼs wages and he spent 40 percent of his wages on recreation. The amount he spends on recreation this week is what percent of the amount he spent on recreation last week?
A van takes 5 hours to cover a distance of 465 km. What speed in kph should the van maintain to cover the same distance in 3/2 of the previous time?
The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $45,000?
The first doughnut is priced at $1 and then if you purchase additional doughnuts as dozens then the price is $6/dozen. What is the total number of doughnuts purchased if you paid $20?
P, Q and R have Rs.5000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
If 4w^4 − 41w^2 + 100 = 0, then what is the sum of the two greatest possible values of w ?
15 men can complete a piece of work in 30 days. In how many days can 10 men complete that piece of work?
If A,B,C are three integers and AB+C is even ; which of the following must be true? A)C is even B)B is even C)AB is even
If the price of petrol increases by 25% and Benson intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?
The L.C.M of two numbers is 2310 and their H.C.F is 30. If one number is 770 the Other is
The cost price of a radio is Rs.1500 and it was sold for Rs.1110, find the loss %?
Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 cm x 6 m when 10% of its volume is occupied by mortar ?
Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in five hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times...
Two machines, Y and Z, work at constant rates producing identical items. Machine Y produces 5 items in the same time Machine Z produces 2 items. If machine Y takes 9 minutes to produce a batch of items, how many minutes does it take for machine Z to produce the same number of items?
A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%?
If the cost price of 22 articles is equal to the selling price of 16 articles, What is the percentage of profit or loss that the merchant makes?
The price of 5 kilograms of premium fertilizer is the same as the price of 10 kilograms of regular fertilizer. If the price of premium fertilizer is y cents per kilogram more than the price of regular fertilizer, what is the price, in cents, per kilogram of premium fertilizer?
Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p - 3?
A taxicab fare costs x dollars for the first quarter of a mile and 1/4*x dollars for each quarter of a mile after that. How much will the total cost be for a 3/2 mile ride?
Find the odd man out. 10,30,50,72,95
The sub-duplicate ratio of 25:49 is
If in a $120 mln portfolio of stock, twice as much is invested in stock A as is invested in all the other stocks, how much is invested in all the other stocks?
The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
From the word 'INTENSIFICATION', how many independent words can be made with-out changing the order of the letters and using each letter only once ?
If the city centers of New York and London are 3,471 miles apart, which of the following is closest to the distance between the city centers in inches? (There are 5,280 feet in a mile.)
List I: 3, 6, 10, 19 List II: x, 3, 10, 8, 19
Every minute, G an type 55 words while H can type 70 in the same amount of time. IF they have 20 minutes to complete a 500 word document, how much time remains when they have finished typing the document? Answer in fractions.
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?
Simplify: 2005-2000+10
Find the Greatest Number that will devide 43, 91 and 183 so as to leave the same remainder in each case
I. a^2 + 11a + 30 = 0, II. b^2 + 6b + 5 = 0 to solve both the equations to find the values of a and b?
For any integer k > 1, the term “length of an integer” refers to the number of positive prime factors, not necessarily distinct, whose product is equal to k. For example, if k = 24, the length of k is equal to 4, since 24 = 2 × 2 × 2 × 3. If x and y are positive integers such that x > 1, y > 1, and x + 3y < 902, what i...
Population of a city in 20004 was 1000000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city atthe end of the year 2007
At what rate percent on simple interest will Rs.900 amount to Rs.950 in 5 years?
A man divides Rs. Among 5 sons,4daughters and 2 nephews .If each daughter receives four times as much as each nephews and each son receives five times as much as each nephews ,how much does each daughter receive?
The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.
A man can row a boat at 20 kmph in still water. If the speed of the stream is 9 kmph, what is the time taken to row a distance of 60 km downstream?
If one-third of one-fourth of a number is 30, then three-tenth of that number is: A. 35
A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
If there are 4 seats and 3 students, in how many ways can they be seated?
What is the next number in the sequence below? 1 4 9 16 25 36 49 64 81 __ ?
There are 22 Kids in a classroom. 12 Kids are wearing socks and 8 are wearing Shoes. 6 Kids are wearing both. How many are Bare Feet ?
Out of 12 students in a class, 7 are wearing blue shirts, 3 are wearing green shirts, and 2 are wearing red shirts. Four students are to be selected at random. What is the probability that at least one is wearing a green shirt?
A, B, C, D, E and F are six cities which are collinear in the same order. The distance between any two adjacent cities is equal. A bus starts at A for city F. It takes 25 minutes for the bus to travel from one city to another and stops for 5 minutes at each place. If the bus reaches E at 8:55, then at what time did it ...
The Pinedale bus line travels at an average speed of 60 km/h, and has stops every 5 minutes along its route. Yahya wants to go from his house to the Pinedale Mall, which is 6 stops away. How far away, in kilometers, is Pinedale Mall away from Yahya's house?
What number should replace the question mark? 1, 31, 59, 85, 109, ?
The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 108 million bacteria in the dish at 3: 00 p.m., at what time were there 32 million bacteria in the dish?
A man can row 8 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
On the number line, the number p is twice as many units from -2 as -2 is from 5. If p is less than –2, what is the value of p ?
At a certain conference, 62% of the attendees registered at least two weeks in advance and paid their conference fee in full. If 20% of the attendees who paid their conference fee in full did not register at least two weeks in advance, what percent of conference attendees registered at least two weeks in advance?
How many two-digit numbers satisfy the following property given below: The last digit (unit's digit) of the square of the two-digit number is 8?
Find the odd man out 2880, 482, 96, 24, 8, 4, 4
A prize of $500 is to be distributed among 20 winners, each of whom must be awarded at least $20. If 2/5 of the prize will be distributed to 3/5 of the winners, what is the greatest possible individual award?
A shopkeeper fixes the marked price of an item 35% above its cost price. The percentage of discount allowed to gain 8% is
William earned $3,200 per month as a teacher for the ten months from September to June. Then he took a job as a barista at a local café, where he earned $2,000 per month during July and August. What was his average monthly pay for the 12 months?
What is the largest positive integer n for which 3^n divides 44^44?
A fair coin is tossed repeatedly. If heads appears on first 5 tosses what is the probability that tail appears on the next two tosses?
If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?
Find the probability that a leap year selected at random will have 53 Sundays
What is the unit digit in {(6374)^1793 x (625)^317 x (341)^491)}?
Find the least number of complete years in which a sum of money put out at 25% compound interest will be more than double of itself?
Kramer can pack X boxes of cigarettes per minute. If there are Y boxes of cigarettes in one case, how many cases can Kramer pack in 2 hours?
If w/x = 1/3 and w/y = 3/4, then (x + y)/y =
There are deer and peacocks in a zoo. By counting heads they are 80. The number of their legs is 200. How many peacocks are there ?
How many different three-digit multiples of 5 can be composed of digits 1, 2, 3, 4, and 5 if none of the digits is repeated?
An empty pool being filled with water at a constant rate takes 8hours to fill to 2/5 of its capacity.how much more time will it take to finish filling the pool?
Three investors, A, B, and C, divide the profits from a business enterprise in the ratio of 5 : 7 : 8, respectively. If investor A earned $ 5,000, how much money did investors B and C earn in total?
If 18!/3^x is an integer, what is the greatest possible value of x?
A computer program assigns consecutive numbers to the days of the week. Sunday is 1, Monday is 2, ..... and Saturday is 7. Every day, the computer program calculates the value of parameter D according to the following definition: D is the number of the day times the value of D on the previous day. If the computer calcu...
When the positive integer A is divided by 4 and 7, the remainder is 3 and 4, respectively. When the positive integer B is divided by 4 and 7, the remainder is 3 and 4, respectively. Which of the following must be a factor of A-B?
Prizes totaling $75,000 were awarded unequally between 3 contestants. Which of the following choices could be the highest prize?
If the sum of a set of 5 different positive prime numbers is 94, what is the difference between larger 2 prime numbers between them?
If the height of an equilateral triangle RBC is equal in length to the hypotenuse of an isosceles right triangle DEF, a side of ΔRBC is how many times as long as a leg of the right triangle DEF?
There are two numbers. If 40% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.
Two cubes of their volumes in the ratio 64 : 1331. The ratio of their surface area is:
56 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :
A man purchases the milk at Rs. x/litre and sells it at Rs. 2x/liter stillhe mixes 2liters water with every 6liters of pure milk. What is the profit %?
With both valves open, the pool will be filled with water in 48 minutes. The first valve alone would fill the pool in 2 hours. If the second valve emits 50 cubic meters of water more than the first every minute, then what is the capacity E of the pool?
The probability of pulling a black ball out o f a glass is 1/X. The probability of pulling a black ball out of a glass and breaking the glass is 1/Y. What is the probability of breaking the glass?
Krista, a personal trainer, is buying energy drinks for her clients. If she has $20 on hand, which of the following options could Krista NOT buy if: Rock Star = $2.00 Red Bull = $3.25 Monster = $2.50 NOs = 1.25
two friends deepak and rajeev have agreed to meet at a definite spot on a particular day between 9pm and 10pm. the first person to come waits for some time and leaves.If the other one does not turn up by that time.If Deepak comes first,he waits for 45minutes and if Rajeev comes first,he waits for 15minutes.What is the ...
The difference in compound interest earned on a deposit (compounded annually) in year 1 and year 2 is $ 40. Had the interest rate been three times its present value, the difference q would have been how much?
If [[x]] = x^2 + 2x + 4, what is the value of [[6]]?
Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next?
From a container having pure milk, 10% is replaced by water and the process is repeated twice. At the end of the second operation, the milk is?
If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many V such committees are possible?
A train running at the speed of 100 km/hr crosses a pole in 18 seconds. What is the length of the train?
Of the diplomats attending a summit conference, 30 speak French, 32 do not speak Russian, and 20% of the diplomats speak neither French nor Russian. If 10% of the diplomats speak both languages, then how many diplomats attended the conference?
A boat traveled upstream 90 miles at an average speed of (v-3) miles per hour and then traveled the same distance downstream at an average speed of (v+3) miles per hour. If the trip upstream took a half hour longer than the trip downstream, then how many hours did it take the boat to travel downstream?
A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?