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big_math_dataset

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A certain country had a total annual expenditure of $4.8 x 10^11 last year. If the population of the country was 240 million last year, what was the per capita expenditure?
If Q is an odd number and the median of Q consecutive integers is 140, what is the largest of these integers?
The ratio of two quantities is 1 to 4. If each of the quantities is increased by 5, what is the ratio of these two new quantities?
If the sum of 7 consecutive integers is x, which of the following must be true? I. x is an even number II. x is an odd number III. x is a multiple of 7
SCORE INTERVAL----------------NUMBER OF SCORES 50-59-------------------------- 2 60-69-------------------------- 4 70-79--------------------------10 80-89--------------------------27 90-99--------------------------18 The table above shows the distribution of test scores for a group of management trainees. Which score i...
By selling 18 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
The age of man is three times the sum of the ages of his two sons.Five years hence,his age will be double of the sum of the ages of his sons.The father’s present age is :
How many cubes of 10 cm edge can be put in a cubical box of 1 m edge?
Paulson spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%.Find the percentage increase in his savings
8 men, working 8 hours a day can complete a work in 18 days. How many hours a day must 12 men work to complete the same work in 12 days?
There are 17 teams in the hockey league, and each team faces all the other teams 10 times each. How many games are played in the season?
What will come in place of the x in the following Number series? 73205, 6655, 605, 55, x
A can do a piece of work in 40 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
From a pack of cards, two cards are drawn one after the other, with replacement. What is the probability that the first card is a club and the second card is a king?
The ages of Ashley and Mary are in the ratio 4:7. The sum of their ages is 22. Find the ages of Ashley .
The average (arithmetic mean) of y numbers is x. If 25 is added to the set of numbers, then the average will be x - 5. What is the value of y in terms of x ?
A certain quantity of 45% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?
4 professors and 6 students are being considered for membership on a supervisory committee which must consist of 2 people. If the committee has to include at least 2 professor, how many ways can this committee be formed?
A man sells a horse for Rs.1200 and loses something, if he had sold it for Rs.1500, his gain would have been trible the former loss. Find the cost price of the horse?
Peter read Q books last year, and Nikki read N books last year. If Peter read 35 more books than Nikki last year, which of the following reflects this relationship?
A 4-person task force is to be formed from the 4 men and 3 women who work in Company G's human resources department. If there are to be 2 men and 2 women on this task force, how many different task forces can be formed?
{-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10} A number is to be selected at random from the set above. What is the probability that the number will be a solution to the equation (x-4)(x+9)(2X+5) = 0?
Set M contains numbers that satisfy the condition that, if integer x is in the set then x+3 will also be in the set M. If -3 is one of the value in the set, which of the following numbers must also be present in the set M. I. 3 II. -10 III.1
If a choir consists of 5 boys and 7 girls, in how many ways can the singers be arranged in a row, so that all the boys are together? Do not differentiate between arrangements that are obtained by swapping two boys or two girls.
A, Band C enter into partnership. A invests 3 times as much as B and B invests two-third of what C invests. At the end of the year, the profit earned is Rs. 4400. What is the share of B ?
A farmer spent $35 on feed for chickens and goats. He spent 40% money on chicken feed, which he bought at a 50% discount off the full price, and spent the rest on goat feed, which he bought at full price. If the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on t...
What is the range of all the roots of |x^2 - 5| = x ?
What is the simple interest rate per annum on an investment that took up to 12.5 years to double its initial amount?
The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
A certain pair of used shoes can be repaired for $13.50 and will last for 1 year. A pair of the same kind of shoes can be purchased new for $32.00 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?
How many cubes of 5cm edge can be cut out of a cube of 20cm edge
If man pays 20 for each km which he travels by taxi and 10 for each km which he travels by bus. If in one week he payed 800 for traveling 60 km. How many kilometers did he travel by taxi ?
A clock store sold a certain clock to a collector for 20 percent more than the store had originally paid for the clock. When the collector tried to resell the clock to the store, the store bought it back at 50 percent of what the collector had paid. The shop then sold the clock again at a profit of 80 percent on its bu...
A straight pipe 1 meter in length was marked off in fourths and also in fifths. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a meter?
How many multiples of 4 are there between 1 and 99 ?
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 32, the how old is B?
Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
A thief steals at a car at 2.30 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief?
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
In a 100m race, Sam beats John by 6 seconds. On the contrary, if Sam allowed John to start 36m ahead of Sam, then Sam and John reach the finishing point at the same time. How long does Sam take to run the 100m race?
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
A man shows his friend a woman sitting in a park and says that she the daughter of my grandmother's only son.What is the relation between the two
The cost price of a particular amount of articles is same as the number of articles. Selling price of the articles comes out to be 20. Over the whole transaction 25% is gained. What is X?
How many different positive integers are factors of 256 ?
The sum of three prime numbers is 100. If one of them exceeds another by 36, then one of the numbers is:
In what time will a train 100 meters long cross an electric pole, if its speed is 90 km/hr
What should come in the place of the question mark(?) in the following equation? 69012 – 20167 + (51246 ÷ 6) = ?
Tensile strength of a material A is a multiple of amount of materials a, b, c, d used. If the amount of material of a, b, c, d are changed by +30%, -30%, -25%, +25% respectively, what will be the overall change in tensile strength of A?
When T is divided by 9, the remainder is 4. All of the following are possible values of T, except for which of the following?
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
If one is added to the numerator of the fraction it becomes one. If one is added to the denominator of the fraction it becomes 1/2. The fraction is?
Each light bulb at a hotel is either incandescent or fluorescent. At a certain moment, forty percent of the incandescent bulbs are switched on, and eighty percent of the fluorescent bulbs are switched on. If 70 percent of all the bulbs are switched on at this moment, what percent of the bulbs that are switched on are i...
The probability that a computer company will get a computer hardware contract is 4/5 and the probability that it will not get a software contract is 3/5. If the probability of getting at least one contract is 5/6, what is the probability that it will get both the contracts?
There are 24 Kids in a classroom. 12 Kids are wearing socks and 8 are wearing Shoes. 6 Kids are wearing both. How many are Bare Feet ?
Sophia finished 2323 of a book. She calculated that she finished 90 more pages than she has yet to read. How long is her book?
A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. What is the probability of having only 1 woman in committee ?
1,5,6 ,25, 26,30,31, 125,126,130,131,150,151,155,156,……… What is the value of 33rd term in the given series
A photographer will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be ta...
Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.985. Find the cost of each ice-cream cup?
A right circular cylinder has a height of 25 and a radius of 5. A rectangular solid with a height of 15 and a square base, is placed in the cylinder such that each of the corners of the solid is tangent to the cylinder wall. Liquid is then poured into the cylinder such that it reaches the rim. What is the volume of the...
On a game show, a contestant spins 2 different wheels; each wheel is numbered 1 to 5. What is the probability that the contestant will spin all tens?
If the price has fallen by 14% what percent of its consumption be: increased so that the expenditure may be the same as before?
Two trains of length 100 m and 120 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
If Teena is driving at 55 miles per hour and is currently 7.5 miles behind Coe, who is driving at 40 miles per hour in the same direction then in how many minutes will Teena be 15 miles ahead of Coe?
The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hourr. The distance travelled downstream in 24 mins is?
A couple decides to have 4 children. If they succeed in having 4 children and each child is equally likely to be a boy or a girl, What is the probability that they will have exactly 3 girls and 1 boy?
Two cyclist start from the same places in opposite directions. One is going towards north at 18kmph and the other is going towards south 20kmph. What time will they take to be 190km apart?
A man is 20 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
If a > 1, which of the following is equal to (2a + 6)/(a^2 + 2a - 3)?
The average of four consecutive odd numbers is 24. Find the largest number.
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
In his ranch, Doug Bo can place a loop of rope, called a lasso, once in every 2 throws around a cow’s neck. What is the probability that he will be able to place a lasso around a cow’s neck at least once in 5 attempts?
In a certain match all the teams were to play with each other. If there are 5 teams, how many matches will have to be played?
If a cost college Rs0.70 a companyto produce a program for yhe home coming football game.if Rs 15000 was received for addvertisement in the pgm ,how many copies rs 0.50 a copy must be sold to make a profit of Rs 8000
If three numbers in the raƟo 3 : 2: 5 be such that the sum of their squares is 1862, the middle number will be
Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
What sum of money will amount to Rs. 520 in 5 years and to Rs. 568 in 7 years at simple interest?
How much time will take for an amount of Rs. 330 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
The price for a loaf of bread in April was $1.17, in May the price was $1.30, and in June the price was $1.05. If 2/3 as much bread was sold in April as in May, and twice as much was sold in June as in April, what was the average price for a loaf of bread sold during the three-month period?
A taxi charges q dollars for the first two miles and c cents per quarter mile for every mile after the first two. Which equation describes cost of a taxi ride of n miles in dollars.
The remainder when dividing the expression (X + Y) by 5 is 4. The remainder of X divided by 10 is 2. What is the remainder T of Y divided by 5?
A person travels from P to Q a speed of 80 km/hr and returns by increasing his speed by 10%. What is his average speed for both the trips?
If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in
Annie will be half as old as Larry in 3 years. Annie will also be one-third as old as Jerome in 5 years. If Jerome is 11 years older than Larry, how old is Annie?
A man in a train travelling at 30km/hr notices that a train going in the opposite direction passes him in 9 sec.If the length of this train is 200m find its speed .
If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
Buffalo gives 4 liter milk, cow gives (1/2) liter milk and goat gives 1/4 liter milk. you have to get 20 liter milk by 20 animals.what is the number of goats?
Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 300 milliliters of solution X to create a solution that is 15 percent alcohol by volume?
What will be the percentage increase in the area of the cube's surface if each of the cube's edges grows by 50%?
Bob's pizza recipe calls for 2 ounces of baking soda for every 2 cups of flour used. He needs to use 12 cups of flour to make 6 pizzas for a party. If 12 cups of flour is used, then how many ounces of baking soda are needed?
If $0.2 is commission for sales of $1,000, what percent of sales amount is the commission?
A honey bee flies for 10 seconds, from a daisy to a rose. It immediately continues to a poppy, flying for 6 additional seconds. The distance the bee passed, flying from the daisy to the rose is 3 meters longer than the distance it passed flying from the rose to the poppy. The bee flies to the poppy at 3 meters per seco...
Josh spends a total of $4.50 buying N items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then N may be which of the following?
A computer manufacturer produces a certain electronic component at a cost of $75 per component. Shipping costs for delivering the components are $2 per unit. Further, the manufacturer has costs of $16,500 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and se...
A, B and C started a partnership business by investing Rs.5000, Rs.8000, Rs.9000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?
A pupil’s marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half. The number of pupils in the class is:
The manager of a produce market purchased a quantity of tomatoes for $0.80 per pound. Due to improper handling, 20 percent of the tomatoes, by weight, were ruined and discarded. At what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 8 p...
In the rectangular coordinate system Point O has coordinates (0,0) and Point B has coordinates (6,6) and if point A is equidistant from points O and B and the area of the triangle OAB is 16, which of the following are the possible coordinates of point A.