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big_math_dataset

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The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square?
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is?
The perimeters of two squares are 40cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.
The ages of two persons differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively
The cricket team of 11members is 26yrs old & the wicket keeper is 3 yrs older. If the ages ofthese 2are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. What is the average age of the team ?
Excluding stoppages, the speed of a bus is 50 kmph and including stoppages, it is 35 kmph.For how many minutes does the bus stop per hour?
If you flip a coin three times, what is the probability that you will get three heads?
Rates for having a manuscript typed at a certain typing service are $5 per page for the first time a page is typed and $3 per page each time a page is revised. If a certain manuscript has 100 pages, of which 30 were revised only once, 20 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?
All possible two factors products are formed from the numbers 1, 2, 3, 4, ....., 200. The number of factors out of total obtained which are multiples of 5 is
A milk man has 30 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk.If the cost of pure milk is Rs.18 per liter,then the profit of the milkman, when he sells all the mixture at cost price is:
Henrikh lives x blocks from his office. It takes him 1 minute per block to walk to work and 20 seconds per block to ride his bicycle to work. If it takes him exactly 8 minutes more to walk to work than to ride his bicycle, then x equals
Mr.Parkin invested in Fund Z and Fund B. The total amount she invested, in both funds combined, was $100,000. In one year, Fund Z paid 23% and Fund B paid 17%. The interest earned in Fund B was exactly $200 greater than the interest earned in Fund Z.How much did Ms. Morris invest in Fund Z?
2 is what percent of 40?
If, 1 * 3 * 5 = 16 3 * 5 * 7 = 38 Then find, 2 * 7 * 9 =?
A woman begins bicycling with a pace of 8 kmph and she increases her pace every hour by 2 kmph. She does not increase her pace as soon as her pace reaches her maximum speed of 12 kmph. How many hours did she bicycle if she traveled 64 kms?
Using all the letters of the word "NOKIASED", how many words can be formed, which begin with N and end with A?
A man has Rs. 320 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 6 cm each. The radius of the sphere is
A man can row upstream at 15 kmph and downstream at 25 kmph, and then find the speed of the man in still water?
Perimeter of the back wheel = 9 feet, front wheel = 7 feet on a certain distance, the front wheel gets 10 revolutions more than the back wheel .What is the distance?
x, y, and z are all unique numbers. If x is chosen randomly from the set {5, 6, 7, 8, 9, 10, 11} and y and z are chosen randomly from the set {20, 21, 22, 23}, what is the probability that x and y are prime and z is not?
Let n~ be defined for all positive integers n as the remainder when (n - 1)! is divided by n. What is the value of 31~ ?
A company has 17 equally qualified applicants for 4 open positions. How many different groups of 4 applicants can be chosen by the company to fill the positions if the order of selection does not matter?
A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 50% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game?
A certain tire company can produce tires at a cost of $22,500 per batch plus $10 per tire. The company can sell tires to the wholesaler at a cost of $20 per tire. If a batch of 15,000 tires is produced and sold, what is the company’s profit per tire?
A not-so-good clockmaker has four clocks on display in the window. Clock #1 loses 45 minutes every hour. Clock #2 gains 15 minutes every hour relative to Clock #1 (i.e., as Clock #1 moves from 12:00 to 1:00, Clock #2 moves from 12:00 to 1:15). Clock #3 loses 20 minutes every hour relative to Clock #2. Finally, Clock #4 gains 20 minutes every hour relative to Clock #3. If the clockmaker resets all four clocks to the correct time at 12 noon, what time will Clock #4 display after 6 actual hours (when it is actually 6:00 pm that same day)?
A man can row his boat with the stream at 22 km/h and against the stream in 10 km/h. The man's rate is?
There are 99 birds on the roof. suddenly all birds fly away. some birds fly to east. birds fly to west is twice of that of east. birds fly to north is twice of that of west. Birds flies to south is same as in north. Find the no. of birds fly in all diections.
At a summer camp with 1,800 participants, 1/2 of the campers are aged 8 to 12. Next year, the number of campers aged 8 to 12 will increase by 1/3. After this change, what percentage of the total 1,800 campers will the 8- to 12-year-olds represent?
John and Andy start a two-length swimming race at the same moment but from opposite ends of the pool. They swim in lanes at uniform speeds, but John is faster than Andy. They 1st pass at a point 18.5m from the deep end and having completed one length each 1 is allowed to rest on the edge for exactly 45 sec. After setting off on the return length, the swimmers pass for the 2nd time just 10.5m from the shallow end. How long is the pool?
If a town of 75,000 people is growing at a rate of approx. 1% per year, the population of the town in 5 years will be closest to?
Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:
If the digits 29 in the decimal 0.00029 repeat indefinitely, what is the value of (10^5-10^3)(0.00029)?
By selling an article at Rs.600, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period(in years) is?
If a man walks to his office at ¾ of his usual rate, he reaches office 1/2 of an hour late than usual. What is his usual time to reach office?
By selling 15 pencils for a rupee a man loses 25%. How many for a rupee should he sell in order to gain 25%?
Out of 40 consecutive integers, two are chosen at random. Find the probability that their sum is odd?
2 no.'s, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those 2 no.'s is divided by 17, the remainder will be
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
A coin is tossed until sequence HTH appears (H denotes the fall of heads, T denotes the fall of tails). What is the probability Q that the game will end after the fourth throw?
From the sale of sleeping bags, a retailer made a gross profit of 12% of the wholesale cost. If each sleeping bag was sold for $28, what was the wholesale cost per bag?
Of the three digit integers greater than 700, how many have two digits that are equal to each other and the remaining digit different from the other two?
19/38 = 4/8 . which method did you use to determine whether this proportion is true or false?
What is the area of a square field whose diagonal of length 20 m?
Mr. Johnson was to earn £ 300 and a free holiday for seven weeks' work. He worked for only 4 weeks and earned £ 30 and a free holiday. What was the value of the holiday?
A bus travels k miles in n hours. How many miles will it travel in x hours at the same rate?
If a, b, and c are positive integers such that a is divisible by b, and c is divisible by a, which of the following is NOT necessarily an integer?
Four years ago, P was half of Q's age. If the ratio of their present ages is 3:4 what will be the total of their present ages?
If the two hands in a clock are 2 minutes divisions apart,then the angle between them is
Tom purchased 8kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 65 per kg. How much amount did he pay to the shopkeeper?
The perimeter of a rectangle is 60 mete(132)7 × (132)? = (132)11.5.
122 * 252 - 12234 = ?
A photography dealer ordered 75 Model X cameras to be sold for $250 each, which represents a 20 percent markup over the dealer’s initial cost for each camera. Of the cameras ordered, 6 were never sold and were returned to the manufacturer for a refund of 50 percent of the dealer's initial cost. What was the dealer's approximate profit or loss as a percent of the dealer’s initial cost for the 75 cameras?
Anil can do a work in 12 days while Sunil can do it in 25 days. How long will they take if both work together?
The original price of a television is 350$. What percent of the original price has been taken off if the retailer offers a discount of 122,50$ on the television?
There are different 45 circles. What is the number of the greatest possible points with which the circles intersect?
The sum of two numbers is 45. The sum of their quotient and is reciprocal is 2.05, the product of the numbers is?
4 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the diamond?
A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9 km/hour and the speed of the current is 3 km/hour, the distance between A and B is
A 300 meter long train crosses a platform in 51 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
A football coach must choose 5 freshers from a team of 12players. How many different ways can the coach choose the freshers?
A certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts, by weight. What is the number of pounds of almonds in 210 pounds of the mixture ?
12.5% of 192 = 50% of ?
The speeds of three motor bikes are in the ratio 24 : 12 : 6. The ratio between the time taken by them to travel the same distance is :
Which of the following fractions is smaller twice greater than 9/50?
A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 87. How many points altogether did the team score?
Mary's income is 50 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?
The number of girls in a class are 7 times the number of boys, which value can never be the of total students
what is the smallest integer that is multiple of 8,7 and 20
A person is traveling at 25km/hr and reached his destiny in 5hr find the distance?
Shankar got 66, 83, 77, 68, 86 marks (out of 100) in English, Maths, physics, Biology and Chemistry. What are his average marks?
The speed of a train is 64 kmph. What is the distance covered by it in 9 minutes?
Ron begins reading a book at 3: 30 p.m. and reads at a steady pace of 30 pages per hour. Michelle begins reading a copy of the same book at 5: 00 p.m. If Michelle started 5 pages behind the page that Ron started on and reads at an average pace of 50 pages per hour, at what time would Ron and Michelle be reading the same page?
In Country Z, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?
If 378 coins consist of rupee, 50 paise and 25 paise coins, whose values are proportional to 13 :11 : 7, the number of 50 paise coins will be :
12 buckets of water fill a tank when the capacity of each bucket is 55 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 5 litres?
A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 3600 interest. The principal amount borrowed by him was.
A train covers a certain distance at a speed of 230kmph in 4 hours. To cover the same distance in 2 2/3 hours, it must travel at a speed of
What is the smallest five digit number that is divisible by 16, 36, 40, and 54?
15 lts are taken of from a container full of liquid A and replaced with Liquid B. Again 15 more lts of the mixture is taken and replaced with liquid B. After this process, if the container contains Liquid A and B in the ratio 9:16,What is the capacity of the container Q?
How many positive integers less than 100 are multiples of a prime number? .
An article is bought for Rs.675 and sold for Rs.945, find the gain percent?
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?
There are 10 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 4% p.a. was Rs.326.40. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.
A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10% protein and food Y contains 15% protein. If the rabbit's diet provides exactly 38 grams of protein daily, how many grams of food X are in the mixture.
A cistern which could be filled in 7 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?
The speed of the man in still water is 40 kmph. If he can row upstream at 20 kmph, find the downstream.
How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
If x is equal to the sum of the even integers from 40 to 60 inclusive, and y is the number of even integers from 40 to 60 inclusive, what is the value of x+y?
What number should replace the question mark? 16, 23, 19, 19, 22, 15, 25, ?
A man walks at a speed of 8 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Ravi and Ramu are partners in a business.Ravi contributes 1/6 of the capital for 16 months and Ramu received 2/3 of the profit. For how long Ramu's money was used ?
A letter lock consists of 4 rings, each ring contains 9 non-zero digits. This lock can be opened by setting four digit code with the proper combination of each of the 4 rings. Maximum how many codes can be formed to open the lock ?
Consider a sequence of numbers given by the expression 7 + (h - 1) * 5, where n runs from 1 to 80.What is the sum of this series ?
A sum of Rs. 2704 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
A sum of money is distributed among A,B,C,D in the proportion of 1:3:4:2. If C gets $500 more than D, what is the B's share?