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big_math_dataset

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Last year for every 100 million vehicles that travelled on a certain highway, 96 vehicles were involved in accidents. If 3 billion vehicles traveled on the highway last year, hom many of those vehicles were involved in accidents (1 billion=1,000,000,000)?
A train 100 m long is running with a speed of 68 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going?
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
When 242 is divided by a certain divisor the remainder obtained is 15. When 698 is divided by the same divisor the remainder obtained is 27. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 5. What is the value of the divisor?
If 4 less than x is 4 greater than y, then a number z that is 2 greater than x reduced by y is equal to
John had a stock of 800 books in his bookshop. He sold 62 on Monday, 62 on Tuesday, 60 on Wednesday, 48 on Thursday and 40 on Friday. What percentage of the books were not sold?
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 ?
Valerie buys 3 new dresses on average every year for the last 5 years. In order to increase her average to 4 dresses per year, how many dresses should Valerie buy next year?
A contractor undertook to make 15 km of roadway in 40 weeks. In 10 weeks, 3 km was complete by 180 men working 8 hours a day. The men then agreed to work 1 hour a day overtime, And some boys were engaged to assist them, the work was finished in the stipulated time(40 weeks). How many boys were employed, if the work of 3 boys is equal to that of 2 men?
If C + D = 9 and C and D are positive integers, which of the following is a possible value for 5C + 8D?
If 20% of certain quantity of work is done by A and the rest 80% by B, the work is completed in 20 days. If 80% of the work is done by A and the remaining 20% by B, then the work is completed in 30 days. How many days are required to complete the work , if A and B work together.
Sangakara and Ponting select batting by using a dice, but dice is biased. So to resolve,Ponting takes out a coin. What is the probability that coin shows correct option?
The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday ?
A certain party consists of four different group of people - 30 students, 35 politicians, 20 actors and 27 leaders. On a particular function day, the total cost spent on party members was Rs.9000. It was found that 6 students spent as much as 7 politicians, 15 politicians spent as much as 12 actors and 10 actors spent as much as 9 leaders. How much did students spent?
If 40% of a certain number is 160, then what is 30% of that number?
The instructions state that Cheryl needs 4/9 square yards of one type of material and 2/3 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 8/18 square yards left that she did not use. What is the total amount of square yards of material Cheryl used?
A train travels from city A to city B. The average speed of the train is 60 miles/hr and it travels the first quarter of the trip at a speed of 90 mi/hr. What is the speed of the train in the remaining trip?
Brand X coffee costs twice as much as brand Y coffee. If a certain blend is 1/2 brand X and 1/2 brand Y. what fraction of the cost of the blend is Brand X?
For the positive integers q, r, s, and t, the remainder when q is divided by r is 7 and the remainder when s is divided by t is 3. All of the following are possible values for the product rt EXCEPT:
In a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. If pqrs = 1365, and if 1< p < q < r < s, how many students in the class are accounting majors?
If the manufacture gains 10%, the wholesale dealers 15% and the retailer 25% then find the cost of production of a table, the retail price of which is $1265 ?
If a, b, c and d are positive integers less than 4, and 4^a+3^b+2^c+1^d=78 then what is the value of b/c?
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
A cube of edge 10cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20cm * 15cm , find the rise in water level?
Arnold and Danny are two twin brothers that are celebrating their birthday. The product of their ages today is smaller by 11 from the product of their ages a year from today. What is their age today?
What is the remainder when 1201 × 1202 ×1203 × 1207 is divided by 6?
If f(x) = 7 x +12, what is f-1(x) (the inverse function)?
In certain code 'TWICE' is written as '34$5δ' and 'WEARS' is written as '4δ29%'. How is 'SEAT' written in that code?
The balance of a trader weighs 10% less than it should. Still the trader marks up his goods to get an overall profit of 40%. What is the mark up on the cost price?
If m > 1 and n = 2^(m−3), then 4^m =
A furniture store owner decided to drop the price of her recliners by 20% to spur business. By the end of the week she had sold 60% more recliners. What is the percentage increase of the gross?
In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 178 votes. Find the total number of valid votes?
If Jack walked 6 miles in 1 hour and 15 minutes, what was his rate of walking in miles per hour?
A man has some hens and cows. If the number of heads be 100 and the number of feet equals 180, then the number of hens will be:
A clock loses 10 minutes each hour. If the clock is set correctly at noon,what time is it when it reads 3 PM ?
The present age of Suraj is 6 times Vijay’s age. The present age of Vijay’s 20 years less than Suraj’s present age. What is the present age of Suraj?
A and B together can complete a piece of work in 4 days. If A alone can complete the same work in 12 days, in how many days can B alone complete that work?
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 7 boys when a boy gets any no. of prizes?
If S is the sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, which of the following is less than S? I. 1/10 II. 1/9 III. 1/11
Bill downloads the movieRevenge of the Avengersto his computer in 2.5 hours, using a download manager that downloads from 3 sources marked A, B and C. Each source provides download at a constant rate, but the rates of different sources are not necessarily identical. If the movie was downloaded from sources A and C alone, it would take 4 hours to complete the download. The next day, source B is available, but the other sources are inactive. How long will it take to download the trailer of the movie, a file that is 16 times smaller, from source B alone?
Eight carpenters can individually complete a particular task in 3, 4, 5, and 7 hours, respectively. What is the maximum fraction of the task that can be completed in forty-five minutes if seven of the carpenters work together at their respective rates ?
One pipe can fill a pool three times faster than a second pipe. When both pipes are opened, they fill the pool in seven hours. How long would it take to fill the pool if only the faster pipe is used?
Of a certain group of 100 people, 40 graduated from High School M, 65 graduated from College Y, and 30 live in City Z. What is the greatest possible number of people in this group who did not graduate from High School M, did not graduate from College Y, and do not live in City Z ?
After spending Rs. 5000 on rent, Rs. 1500 on milk, Rs. 4500 on groceries, Rs.2500 On childrens education Rs. 2000 on petrol and Rs. 5650 on miscellaneous expenses, Mr. Kishore saved 10% of his monthly salary. How much did he save in Rs. ?
1,1,3,2,1,5,3,4,10,4,2,?
Dave has no fashion sense, and will wear any combination of garments regardless of whether someone thinks they “match.” Every day Dave chooses an outfit consisting of one of each of the following garments: jacket, tie, shirt, pants, boxers, right sock, left sock, right shoe, left shoe. If Dave has more than one of each of the listed garments, and can make 7200 different outfits, then for how many garments does Dave have exactly five choices?
What is the least common multiple of 12, 18, and 24?
The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2. Find N.
P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
How many positive factors of 42 are not factors of 56?
A dog takes 5 leaps for every 8 leaps of a hare. If one leap of the dog is equal to 5 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
If integer k is equal to the sum of all even multiples of 15 between 390 and 615, what is the greatest prime factor of k?
A certain list of 100 data has an average (arithmetic mean) of 8 and a standard deviation of d, where d is positive. Which of the following pairs of data, when added to the list, must result in a list of 106 data with standard deviation less than d?
If 6 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
How long does a train 150 m long traveling at 50 kmph takes to cross a bridge of 250m in length?
In a city, the streets are aligned in a grid, where the east-west roads are called 1st Rd, 2nd Rd, 3rd Rd, etc, increasing in number as one moves northward. The north-south roads are called 1st Ave, 2nd Ave, 3rd Ave, etc, increasing in number as one moves eastward. If Bill needs to walk from the corner of 2nd Rd and 3rd Ave to the corner of 7th Rd and 8th Ave in the shortest possible time, how many different routes could he take?
How many integers are divisible by 5 between 10! and 10! + 20 inclusive?
Students at a school were on average 180 cm tall. The average female height was 170 cm, and the average male height was 184 cms. What was the ratio F of men to women?
40 percent of the ducks included in a certain side effects study were male. If some of the ducks had side effects during the study and 35 percent of the ducks who had side effects were male, what was the ratio of the side effect rate for the male ducks to the side effect rate for the female ducks?
The average of first 17 even numbers is?
Which of the following equivalent to (1/216)^2?
On the coordinate plane , points P and U are defined by the coordinates (-1,0) and (3,3), respectively, and are connected to form a chord of a circle which also lies on the plane. If the area of the circle is (25/4) π , what are the coordinates of the center of the circle ?
Cheese, bologna, and peanut butter sandwiches were made for a picnic in a ratio of 5 to 7 to 8. If a total of 180 sandwiches were made, how many bologna sandwiches were made?
Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
At 6'o clock clock ticks 6 times. The time between first and last ticks was 30sec. How much time it takes at 10'o clock.
If one length of a square is tripled, and the original parameter is 4y. What is the new length of one of the sides?
The number 94 can be written as the sum of the squares of 4 different positive integers in two ways. Of the following, which can be the sum of these 4 integers?
A man spends Rs. 1800 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 5200 a year. What is his average monthly income?
If log 27 = 1.434, then the value of log 9 is:
If a fair coin is flipped three times in a row, what is the probability that there will be at least one head and one tail?
A boat travels 72 km downstream in 8 hours and 84 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current ?
If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
The height of the wall is 6 times its width and lenght of the wall is 7 times its height .if the volume of the wall be 16128 cu.m.its width is
The value of a machine is Rs 6,250. It decreases by 20% during the first , 40% during the second year and 30% during the third year. What will be the value of the machine after 3 years?
Solve the equation for x : 6x - 27 + 3x = 4 + 9 - x
In a fraction, if 1 is added to both the numerator at the denominator, the fraction becomes 1/2. If numerator is subtracted from the denominator, the fraction becomes 3/4. Find the fraction.
Given f(x) = 3x – 5, for what value of x does 2*[f(x)] – 10 = f(x – 2) ?
Can you get total of 720 by using six zeros 0,0,0,0,0,0 and any maths operators.
A four-digit code can consist of the digits 0 ~ 9 except that it does not contain the digits 1, 2, and 4 at all. If repeated digits are allowed, what is the probability that it has at least one even digit?
A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 10 miles per gallon, and from Town B to Town C, the car averaged 12 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town A through Town B to Town C?
An average age of A, B and C is 45. If the averageage of A and B be 40 and that of B and C be 43, then the weight of B is
Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1456?
Annie has 100 cards numbered 1 through 100. If she deals seven cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers?
A bar over a sequence of digits in a decimal indicates that the sequence repeats indefinitely. What is the value of (10^4 -10^2)(0.0018)?
Find the option to replace the question mark in the series below 5 ? 15 75 525 4725
If one and a half women, drink one and a half tea in one and a half minutes. How many tea can 9 women drink in 3 minutes ?
A shop sells bicycles and tricycles. In total there are 10 cycles (cycles include both bicycles and tricycles) and 21 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels.
Which of the following are roots of an equation (x^-2)+(3x^-1)-10=0
S and T are two-digit positive integers that have the same digits but in reverse order. If the positive difference between S and T is less than 50, what is the greatest possible value of S minus T?
Rose is two years older than Bruce who is twice as old as Chris. If the total of the ages of Rose, B and Chris be 27, the how old is Bruce ?
The true discount on a bill due 9 months hence at 16% per annum is Rs. 180.The amount of the bill is
A store raised the price of an item by exactly 25 percent. Which of the following could NOT be the resulting price of the item?
How many shots of 1cm radius can be prepared from a sphere of 7cm radius?
Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 % fescue. If a mixture of X and Y contains 30% ryegrass, what percent of the weight of the mixture is X?
In 1970 there were 8,902 women stockbrokers in the United States. By 1978 the number had increased to 19,947. Approximately what was the percent increase?
The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to:
In digging a grave 200 m * 100 m * 3 m the volumes of the dirt to be extracted will be?
Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2178?
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 20 hrs and a machine of type S does the same job in 60 hours. If the company used the same number of each type of machine to do the job in 3 hours, how many machines of type R were used?