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big_math_dataset

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The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
Two trains of equal lengths are running at speeds of 30 kmph and 60 kmph. The two trains crossed each other in 30 seconds when travelling in opposite direction. In what time will they cross each other when travelling in the same direction?
It is well known that a triangle’s area is √(p(p-a)(p-b)(p-c)), when p=(a+b+c)/2, such that a, b, c are the lengths of sides of the triangle. If the triangle has 300, 300, and 360 as the side’s lengths, what is the triangle’s area?
My brother is 3 years elder to me.My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born.If my sister was 4 years of age when my brother was born,then,what was the age of my father and mother respectively when my brother was born ?
Club X has more than 50 but fewer than 80 members. Sometimes the members sit at tables with 3 members at one table and 4 members at each of the other tables, and sometimes they sit at tables with 3 members at one table and 5 members at each of the other tables. If they sit at tables with 6 members at each table except ...
What is the smallest positive integer x, such that 7000x is a perfect cube?
A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
In a college 1/5th of the girls and 1/8th of the boys took part in a social camp. What of the total number of student in the college took part in the camp ?
A farming field can be ploughed by 6 tractors in 4 days. When 6 tractors work together, each of them ploughs 120 hectares a day. If two of the tractors were moved to another field, then the remaining 4 tractors could plough the same field in 5 days. How many hectares a day would one tractor plough then?
Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?
Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 153 grams of water?
In a 240 meters race A beats B by 56 m or 7 seconds. A's time over the course is:
a and b are positive integers less than or equal to 6. If a and b are assembled into the six-digit number ababab, which of the following must be a factor of ababab?
A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?
By selling 12 toffees for a rupee, a man loses 20%. How many for a rupee should be sell to get a gain of 20%?
Four extra-large sandwiches of exactly the same size were ordered for m students, where m > 6. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students. If Carol ate one piece from each of the four sandwi...
In one alloy there is 12% chromium while in another alloy it is 8%. 15 kg of the first alloy was melted together with 40 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.
The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 12%?
Running at the same constant rate, 5 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?
A man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses. Next year his income increases by 35% but his savings increase by 100%. If his total expenditure in 2 years is double his expenditure in 1st year, What %age of his income in the first year did he save?
An empty wooden vessel weighs 14% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.
2 numbers are there in the ratio 3:4. If 3 is to be added to both of the numbers the ratio will become 7:9 then find initial numbers?
Two trains of equal lengths take 10 sec and 14 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
In a zoo, the ratio of the number of cheetahs to the number of pandas is 1 : 3 and was the same five years ago. If the increase in the number of cheetahs in the zoo since then is 6, then what is the increase in the number of pandas?
A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec. fast at 2 p.m. on the following Monday. When was it correct?
Seven machines at a certain factory operate at the same constant rate. If six of these machines, operating simultaneously, take 35 hours to fill a certain production order, how many fewer hours does it take all seven machines, operating simultaneously, to fill the same production order?
A student got twice as many sums wrong as he got right. If he attempted 75 sums in all, how many did he solve correctly ?
A does a work in 10 days and B does the same work in 30 days. In how many days they together will do the same work ?
Winners will be announced the following day at 9 AM Pacific/1 PM Eastern Time. If A, X, Y, and Z are unique nonzero digits in the equation: XY *YX ____ AYZ And Y > X, the 2-digit number XY = ?
The distance from City A to City B is 180 miles. While driving from City A to City B, Ed drives at a constant speed of 30 miles per hour. Flora leaves City A 2 hours after Ed. What is the minimum constant speed in miles per hour that Flora must exceed in order to arrive in City B before Ed?
Find the circumference and area of radius 4 cm.
If A:B = 1/2: 1/3 B:C = 1/2:1/3 then A:B:C?
A bookseller sells his books at a 25% markup in price. If he sells a book for $12.5, how much did he pay for it?
Raman mixed 44 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
A contractor hires 100 men to finish a job in 50 days. After 36 days, n men leave. After some more days, the contractor hires 2n more men to complete the job on time. For how many days did these 2n men work?
One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card?
Two pens and one eraser cost Rs. 35 and 3 pencil and four erasers cost Rs. 65. Find the cost of pencil and eraser separately.
What is the decimal equivalent of (1/4)^5?
A sells his house to B at a profit of 10% who in turn sells it to C at a profit of 15% who in turn Sells it to D at a profit of 25% and D sells it to E at 35% profit. If cost price of E’s house is Rs 35,00,000, what is the approximate cost price of A’s house? Correct Show Answer Explanation:
If the area of a circle is 64pi square feet, find its circumference.
If nn is a positive integer and (n+1)(n+3)(n+1)(n+3) is odd, then (n+2)(n+4)(n+2)(n+4) must be a multiple of which one of the following?
The average age of a husband and his wife was 23 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is
If 5/(4 + 1/x) = 1, then x =
Find the next number in the series ? 2 3/4 5/7 7/10 11/13 13/16 ?
A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
The diluted wine contains only 8 liters of wine and the rest is water. A new mixture whose concentration is 30%, is to be formed by replacing wine. How many liters of mixture shall be replaced with pure wine if there was initially 32 liters of water in the mixture?
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :
In an old fort, If 15 spiders make 15 webs in 15 days, then 1 spider will make 1 web in how many days?
What will be the cost of building a fence around a square plot with area equal to 144 sq ft, if the price per foot of building the fence is Rs. 58?
The ratio of two quantities is 5 to 9. If each of the quantities is increased by 7, what is the ratio of these two new quantities?
A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.272 less than the sum lent. What was the sum lent?
The sum of the two digits of a number is 10. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number?
A man can row a boat at 28 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
The average of 35 numbers is 25. If each number is multiplied by 5, find the new average?
In what time a sum of money double itself at 3% per annum simple interest?
76.8% of my office colleges are non-vegetarian. What's the least number of person working in my office to hold above statement true.
how many such letters pairs are in word BONAFIDE having same no. of letters left between them in the word as they have in the series
Two pipes can fill a tank in 10 hours & 12 hours respectively. While 3rd pipe empties the full tank n 20 hours. If all the three pipes operate simultaneously,in how much time will the tank be filled?
After 38 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
Eggs are sold in packages of six or ten only. If Doris bought 70 eggs exactly, what could be the number of large packs Doris bought?
A pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer’s suggested retail price. If during a sale, the store discounts an additional 20 percent from the discount price, what would be the lowest possible price of a container of pet food that had a manufacturer’s suggested re...
The area of a square field is 24200 sq m. How long will a lady take to cross the field diagonally at the rate of 6.6 km/hr?
10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.1300, what is the reduced price for kg?
If 20 typists can type 46 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
If (A-B-C+D = 18) and (A+B-C-D = 6), what is the value of (B-D)^2?
If n is a prime number and n ≠ 3, which of the following could be the remainder when 100! + n is divided by 3? I. 2 II. 1 III. -3
How many repeat sequence of three consecutive numbers are there in the given sequence? 6 9 6 2 4 2 9 6 2 9 2 6 9 4 9 6 2 6 9 2 4
List I: 3, 6, 12, 19 List II: x, 3, 6, 8, 19
Each shelf of a bookcase contained 11 books. If the librarian took out 31 books and rearranged the remaining books so that all shelves but the last one contained 7 books and that last shelf contained 4 books, how many shelves does the bookcase have?
1804 x 1804 = ?
Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part?
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 8 stops away. How far away, in kilometers, is Pinedale Mall away from Yahya's house?
Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
Three coins are tossed. What is the probability of getting at most two tails?
A salesman`s commission is 5% on all sales upto Rs.10,000 and 4% on all sales exceeding this.He remits Rs.31,100 to his parent company after deducing his commission . Find the total sales.
The length of the bridge, which a train 110 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 2 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them?
In western Europe, P 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 ...
A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Simple interest on a certain sum of money for 5 years at 8% per annum is half the compound interest on Rs. 8000 for 2 years at 15% per annum. The sum placed on simple interest is
Complete the series 13, 9, 5, 1, ...
When processing flower-nectar into honey bees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 35% water?
To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced.How many parts the company made?
A train 110 meters long completely crosses a 280 meters long bridge in 38 seconds. What is the speed of the train is?
In a barrel of juice there is 15 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?
The compound ratio of 5:6, 3:2 and 4:5?
A type of mixture is prepared by mixing brand at Rs.9 a kg with brand B at Rs.4 a kg.If a mixtue is worth rupees 7 a kg,how many kgs of brand A are needed to make 40 kgs of the mixture?
the cyclist going at a constant rate of 20 miles per hour is passed by a motor-cyclist traveling in the same direction along the same path at 60 miles per hour. the motor-cyclist stops to wait for the cyclist 10 minutes after passing her, while the cyclist continues to travel at constant rate, how many minutes must the...
Divide Rs.32000 in the ratio 3:5?
A fraction bears the same ratio to 1/27 as 3/7 does to 5/9. The fraction is?
A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
In an examination, 25% of total students failed in Hindi, 50% failed in English and 25% in both. The percentage of these who passed in both the subjects is :
Which of the below number is the odd one out?
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?
If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between?
Sohan purchased a horse for Rs.2000 and sold it to Mohan at a loss of 10 percent. Mohan sold it to Sham at a loss of 10 percent while sham sold it to Gopi at a gain of 10 percent. The amount Gopi paid for it would be