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big_math_dataset

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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
A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 3 days. In how many days can they complete the remaining work?
A block of wood has dimensions 10cm x 10cm x 80cm. The block is painted red and then cut evenly at the 40 cm mark, parallel to the sides, to form two rectangular solids of equal volume. What percentage of the surface area of each of the new solids is not painted red?
Which of the following equations represents a line that is perpendicular to y=1/4*x+2?
If a man can cover 15 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Car A travels at three times the average speed of car B. Car A started to travel at 12:00 o'clock, car B started to travel at 16:00 o'clock. What is the speed of car B (in Km/h) if the total distance that both cars traveled until 18:00 was 6000 Km?
If a * b = 2a - 3b + ab, then 3 * 5 + 5 * 3 is equal to :
A water tank is one-fourth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 8 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
The expression x#y denotes the product of the consecutive multiples of 3 between x and y, inclusive. What is the sum of the exponents in the prime factorization of 21#30?
The average of five consecutive odd numbers is 51. What is the difference between the highest and lowest number?
A, B, and C were to be paid in proportion to the part of work they did while working on the same piece of work. A and B individually can finish the piece of work in 12 days and 15 days respectively. They worked together for five days and then C completed the remaining work all alone. If $810 was the net sum to be paid for the entire work, what was the average daily wage of B?
Company A's workforce consists of 10 percent managers and 90 percent software engineers. Company B's workforce consists of 30 percent managers, 10 percent software engineers, and 60 percent support staff. The two companies merge, every employee stays with the resulting company, and no new employees are added. If the resulting companyís workforce consists of 25 percent managers, what percent of the workforce originated from Company A?
A train 125 m long passes a man, running at 2 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
The decimal d is formed by writing in succession all the positive integers in increasing order after the decimal point; that is d = 0.123456789101112 What is the 100th digit of d to the right of decimal point ?
Angelina walked 100 meters from her home to the grocery at a constant speed. She then walked 180 meters to the gym at double the speed. She spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym?
The sum of all the integers f such that -26 < f < 24 is
Tough and Tricky questions: Arithmetic. (54^2 + 54^2)/18^2 =
In a caravan, in addition to 50 hens there are 45 goats and 8 camels with some keepers. If the total number of feet be 224 more than the number of heads, find the number of keepers.
Rich has 3 green, 2 red and 3 blue balls in a bag. He randomly picks 5 from the bag without replacement. What is the probability Q that of the 5 drawn balls, Rich has picked 1 red, 2 green, and 2 blue balls?
Express a speed of 63 kmph in meters per second?
UBA Capital recently bought Brand new vehicles for office use. UBA capital only went for Toyota and Honda and bought less of Toyota than Honda at the ratio of 7:3. If 70% of the Toyota bought and 30% of the Honda bought were SUV’s. How many SUV’s did UBA capital buy in the aforementioned purchase?
A computer store offers employees a 10% discount off the retail price. If the store purchased a computer from the manufacturer for $1200 dollars and marked up the price 10% to the final retail price, how much would an employee save if he purchased the computer at the employee discount (10% off retail price) as opposed to the final retail price.
Machine A can do a certain job in 8 hours. Machine B can do the same job in 10 hours. Machine C can do the same job in 12 hours. All three machines start the job at 9:00 a.m. Machine A breaks down at 11:00 a.m., and the other two machines finish the job. Approximately what time T will the job be finished?
If x and y are positive integers, and 4x^2=3y, then which of the following must be a multiple of 4? I. x^2 II. y^2 III. xy
The radius of a circle is increased by 1%. Find how much % does its area increases?
Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travel in opposite directions, they meet after one hour and if they travel in same direction (from A towards B), then P meets Q after 6 hours. What is the speed of car P?
A certain collage has total of 420 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?
By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
What is the average of xx,2x2x,and 66?
?% of 360 = 93.6
How many ways can 5 friends be arranged around a circular dinner table?
Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who havenotpassed the test, 19 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?
How much 60% of 50 is greater than 42% of 30?
The length of the bridge, which a train 150 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Sarah, Fatima, Salma, and Lina all got tips during their waitressing shift. The average of Sarah, Fatima, and Salma's tips was $100. The average of Fatima, Salma, and Lina's tips was $90. If Lina earned $85, what did Sarah earn?
mixture contains alcohol and water in the ratio 4 : 3. If 6.5 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.
Which of the following expressions CANNOT be equal to 0 when x^2 − 2x = 3?
Machines X and Y produce bottles at their respective constant rates. Machine X produces k bottles in 6 hours and machine Y produces k bottles in 12 hours. How many hours does it take machines X and Y , working simultaneously , to produce 24k bottles?
Find the wrong number below mentioned series 17, 600,6000,550,750
Pipes A and B can fill a tank in 9 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in
What is the area of a square with perimeter 16P ?
A company received $2 million in royalties on the first $10 million in sales and then $8 million in royalties on the next $100 million in sales. By what percent did the ratio of royalties to sales decrease from the first $10 million in sales to the next $100 million in sales?
If the productivity of a brigade grows by 40% when the number of the workers in the brigade is increased by one, then which of the following is closest to the ratio of the productivity of a 12-person brigade to that of a 10-person brigade?
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 9 km/hr completes one round in 5 min, then the area of the park (in sq. m) is?
If five chimpanzee can eat five mangoes in five minutes. How many minutes would it take for four chimpanzee to eat four mangoes ?
In a certain sequence of 8 numbers, each number after the first is 1 more than the previous number. If the first number is −4, how many of the numbers in the sequence are positive?
Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 22 white marbles. How many red marbles could be in bag A?
A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 7 minutes?
A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
The ratio of the incomes of Chetan and Dinesh is 3:4. The ratio of their expenditures is 5:7. If each of them saves Rs.200, find the incomes of both?
Three candidates contested an election and received 1136, 7636 and 15000 votes respectively. What percentage of the total votes did the winning candidate get?
If 20 percent of the members of a certain organization are women and 2/8 of the members of the organization are married men, which of the following statements concerning the membership must be true? I. The number of women in the organization is greater than the number of married men in the organization. II. The number of women in the organization is greater than the number of unmarried men in the organization. III. The number of unmarried men in the organization is greater than the number of married men in the organization.
A and B are two stations 125km apart. A train starts from A at 6a.m. and travels towards B at 50kmph. Another train starts from B at 7a.m. and travels towards A at 25kmph. At what time do they meet?
In the x-y plane, point (x, y) is a lattice point if both x and y are integers. A rectangle has a center at (1, 2) and width (x), length (y), 6", 4", respectively. Some points, such as the center (1, 2), are inside the rectangle, but a point such as (4, 2) is on the rectangle, but not in the rectangle. How many lattice points are in the rectangle?
A password of a computer used three digits where they are from 0 and 9. What is the probability that the password solely consists of prime numbers and zero?
A boy can reach a certain place in 30 hours. If he reduces his speed by 1/30th, he goes 3 km less in that time. Find his speed.
A money lender lent a total of $1400 to two of his customers. He charged at the rate of 5%p.a. to one of them and 6% p.a. to the other. If he earned an average of 5.67% on $1400, how much did he lend to each of the two customers?
A man can row with a speed of 20 kmph in still water. If the stream flows at 11 kmph, then the speed in downstream is?
A three digit number consists of 9,5 and one more number . When these digits are reversed and then subtracted from the original number the answer yielded will be consisting of the same digits arranged yet in a different order. What is the other digit
Arun borrowed a certain sum from Manish at a certain rate of simple interest for 2 years. He lent this sum to Sunil at the same rate of interest compounded annually for the same period. At the end of two years, he received Rs. 2400 as compound interest but paid Rs. 2000 only as simple interest. Find the rate of interest.
The 100-milliliter solution of sugar and water is 21% sugar. How much water (in milliliters) must be added to make a solution that is 12% sugar?
In a coconut grove, (x + 2) trees yield 60 nuts per year, x trees yield 120 nuts per year and (x – 2) trees yield 180 nuts per year. If the average yield per year per tree be 100, find x.
Reena took a loan of 1200 with simple interest for as many years as the rate of interest. If she paid 432 as interest at the end of the loan period, what was the rate of interest?
Three candidates contested an election and received 1136, 7636 and 12628 votes respectively. What percentage of the total votes did the winning candidate got?
Tough and Tricky questions: Exponents. If 3^(x+1)*5^(y-1) = 9^x*125^y, then 2x + y =
Mixture A is 20 percent alcohol, and mixture B is 50 percent alcohol. If the two are poured together to create a 15 gallon mixture that contains 30 percent alcohol, approximately how many gallons of mixture A are in the mixture?
A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
Calculate 56581 ÷ ? = 137
If 60 honey bees make 60 grams of honey in 60 days, then 1 honey bee will make 1 gram of honey in how many days?
The average earning of a mechanic for the first-four days of a week is Rs. 16 and for the last four days is Rs. 24. If he earns Rs . 27 on the fourth day, his average earning for the whole week is ?
A can do a piece of work in 3 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it is known that the number on the drawn card is more than 3, what is the probability that it is an even number?
A pair of prime numbers that can be expressed in the form W{p, (p + 6)} is defined as a pair of “sexy primes.” A “sexy triplet” is a group of three primes that can be expressed in the form {p, (p + 6), (p + 12)}. All of the following prime numbers are the middle term of a sexy triplet EXCEPT
If the radius of a circle is decreased 30%, what happens to the area?
Lucy is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of wheat, 3 morsels of rye, and 1 morsel of white. The pattern repeats after she leaves the morsel of rye. If Lucy drops 2,000 morsels of bread, what are the last 3 morsels of bread that she drops?
The angles of a triangle have ratios 3:4:5 relative to each other. Determine which angle below corresponds to one of the angles of this triangle.
What is the sum of the greatest common factor and the lowest common multiple of 16 and 72?
Fred and Sam are standing 35 miles apart and they start walking in a straight line toward each other at the same time. If Fred walks at a constant speed of 2 miles per hour and Sam walks at a constant speed of 5 miles per hour, how many miles has Sam walked when they meet?
At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
In how many ways, a committee of 6 members can be selected from 7 men and 4 ladies, consisting of 4 men and 2 ladies?
A Table is bought for Rs.1600/- and sold at a loss of 20% find its selling price?
What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?
The ratio of two numbers is 2:3 and the sum of their cubes is 945. The difference of number is?
The diagonal of a rectangle is 41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:
At the starting of 2012, 60% of the population of Town Y lived in the north and the rest lived in the south. During the year 2012, the population of Town Y grew by 5.5%. If the population in the north grew by 4.5%, by how much did the population in the south grow?
Three 6 faced dice are thrown together. The probability that all the three show the same number on them is?
A started a business with Rs.25000 and is joined afterwards by B with Rs.30,000. After how many months did B join, if profit per annum is divieded equally?
If k is a non-negative integer and 15^k is a divisor of 759,325 then 3^k - k^3 =
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 10 hours and 8 hours respectively. The ratio of their speeds is
J and M were each paid x dollars in advance to do a certain job together. J worked on the job for 12 hours and M worked for 2 hours less than J. If M gave J y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that J was paid in advance?
A bowl contains pecans, cashews, and almonds in a ratio of 7 : 12 : 18, respectively. If some of the nuts of one of the three types are removed, which of the following could be the ratio of pecans to cashews to almonds remaining in the bowl? i. 1 : 2 : 3 ii. 2 : 3 : 4 iii. 4 : 7 : 10
Current ages of Rahim and Thomas are in the ratio of 5 : 4 correspondingly. 0.2 decades hence, the ratio of their ages will become 11 : 9 correspondingly, What is Thomas’s current age in years?
Four milkmen rented a pasture. A grazed 24 cows for 3 months; B 10 for 5 months; C 35 cows for 4 months and D 21 cows for 3 months. If A's share of rent is Rs. 2160, find the total rent of the field.
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ?
Sreedhar and Sravan together can do a work in 25 days. With the help of Pavan, they completed the work in 8 days and earned Rs. 225. What is the share of Sravan, if Sreedhar alone can do the work in 75 days?
An examiner rejects 0.16% of the meters as defective. How many will be examine to reject 4?
An object thrown directly upward is at a height of h feet after t seconds, where h = -14 (t-3)^2 + 150. At what height, in feet, is the object 2 seconds after it reaches its maximum height?
In a forest 150 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 10 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?
There are 15 points in a given plane, no three of which are on the same line. If one of the points is represented as 'Y', then how many triangles can be determined with the 15 points that contain the point Y?
if 70% of (x-y) = 30% of (x+y) then what percent of x is y?