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big_math_dataset

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The speed of a boat in still water in 30 km/hr and the rate of current is 7 km/hr. The distance travelled downstream in 36 minutes is:
The speed of a train is 90 kmph. What is the distance covered by it in 15 minutes?
A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is $0.08. For each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount. What is the total for a book on the fourth day it is overdue?
A sock drawer contains 4 socks, each one a different solid color. The colors of the socks are green, blue, indigo, and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks?
The marks obtained by Polly and Sandy are in the ratio 5:6 and those obtained by Sandy and Willy are in the ratio of 9:7. The marks obtained by Polly and Willy are in the ratio of...?
If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
During the first week of performances of a certain play, 5,400 tickets were sold, all at reduced price. During the remaining weeks of performances, 5 times as many tickets were sold at full price as were sold at reduced price. If the total number of tickets sold W was 25,200, how many of them were sold at full price?
In how many ways can 3 postcards can be posted in 5 postcards?
If a/b = 1/7, b/c = 3, c/d = 2/3, d/e = 2 and e/f = 1/2, then what is the value of abc/def ?
Six computers, each working at the same constant rate, together can process a certain amount of data in 12 days. How many additional computers, each working at the same constant rate, will be needed to process the same amount of data in 4 days?
Find a sum for 1st 5 prime no.'s?
What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
If 9975 kg of wheat is packed in 95 bags, how much wheat will each bag contain?
An assembly line produces 30 cogs per hour until an initial order of 60 cogs is completed. The speed of the assembly line is then immediately increased so that it can produce 60 cogs per hour until another 60 cogs are produced. What is the overall average output, in cogs per hour, for the assembly line during this whole time?
The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 44 years, was replaced by a new person. Find the age of the new person?
x is a set containing 8 different positive odd numbers. y is a set containing 7 different numbers, all of which are members of S. Which of the following statements CANNOT be true?
The H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is
A horse is tethered to one corner of a rectangular grassy field 36 m by 20 m with a rope 18 m long. Over how much area of the field can it graze?
Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?
The average weight of A, B and C is 43 kg. If the average weight of A and B be 48 kg and that of B and C be 42 kg, then the weight of B is:
The average of six numbers is 3.95. The average of two of them is 3.3, while the average of the other two is 3.85. What is the average of the remaining two numbers?
For the positive numbers, n+3, n + 4, n + 6, n + 8, and n + 9, the mean is how much greater than the median?
The average of first six prime numbers which are odd is?
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
A certain fruit stand sold apples for $0.70 each and bananas for $0.60 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase?
Sagar purchased 10 kg of rice at the rate of Rs. 15 per kg and 25 kg of rice at the rate Rs. 14 per kg. He mixed the two and sold the mixture. Approximately at what rate per kg should he sell the mixture to make 40 % profit in the transaction?
The cost of 3 pens and 5 pencils is Rs.200. Also the cost of one pen and one pencil is in the ratio of 5:1 respectively. What is the cost of one dozen pens?
The sum of two numbers is 16. The difference is 4. What are the two numbers?Let x be the first number. Ley y be the second number x + y = 16 x - y = 4
There are 28 balls which are red, blue or green. If 12 balls are green and the sum of red balls and green balls is less than 24, at most how many red balls are there?
At a certain restaurant, 30 percent of the servers reported their tips, while 40 percent of the servers who were tipped didn't report their tips. What percent of the servers were tipped?
The value of a machine depreciates at the rate of 10% per year. If its present is Rs.1,62,000 what will be its worth after 2 years ? What was the value of the machine 2 years ago ?
In the first 10 overs of a cricket game, the run rate was only 4.6. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 98.01, the number of the member is the group is:
A certain tire company can produce tires at a cost of $22,500 per batch plus $6 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 rower can row 5 km/h in still water. When the river is running at 2 km/h, it takes the rower 1 hour to row to Big Rock and back. How many kilometers is it to Big Rock?
A garrison of 3300 men has provisions for 32 days when supplied at the rate of 850 g per head. At the end of 7 days, a reinforcement arrives, and it is found that the provisions can last for 17 days more when supplied at the rate of 825 g per head. What is the strength of the reinforcement?
4, 8, 16, 28, 44, ?
Priya and her father differ in their ages by 31 years. After 8 years. if the sum of their ages will be 69, their present ages are
A reduction of 10% in the price of tea enables a dealer to purchase 25 kg more tea for Rs. 22500. What is the reduced price per kg of tea?
Find (7x + 4y ) / (x-2y) if x/2y = 3/2 ?
In how many ways can the letters of word IMAGINATION be arranged such that all the vowels as well as all the Consonants always appear together?
When positive integer N is divided by positive integer J, the remainder is 18. If N/J = 134.03, what is value of J?
The rate of spin of a certain gyroscope doubled every 15 seconds from the moment a particular stopwatch started. If after a minute and a half the gyroscope reached a speed of 400 meters per second, what was the speed, in meters per second, when the stopwatch was started?
A train covers a distance of 15 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
A man purchases the milk at Rs. x/litre and sells it at Rs. 2x/liter stillhe mixes 2liters waterwith every 6liters of pure milk. What is the profit %?
In the xy-plane, line k passes through point (3,-2) and intersect perpendicularly with line n that passes through points (0,3) and (3,5). What is the equation of line k?
A can build up a wall in 8 days while B can break it in 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of wall?
The probability that A speaks truth is 7/9 and that of B speaking truth is 9/13. What is the probability that they agree in stating the same fact?
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
James have 10 parrots, 4 fishes, 9 rabbits and 6 dogs.How many pets does he have in all?
Scott's average (arithmetic mean) golf score on his first four rounds was 58.What score does he need on his fifth round to drop his average score by 2 points?
Find the odd man out. 18, 7, 12, 24, 48, 34, 46
In what ratio must rice at Rs.7.10 be mixed with rice at Rs.9.20 so that the mixture may be worth Rs.8 per Kg?
A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Taps A and B can fill a bucket in 10 minutes and 15 minutes respectively. If both are opened and A is closed after 3 minutes, how much further time would it take for B to fill the bucket?
For what value of “k” will the equation (2kx2 + 4kx +2)=0 have equal roots?
Which of the following numbers should not be included in the set? 331, 482, 551, 263, 386, 242, 111
If x is an integer such that 5 < x < 21, 7 < x < 18, 13 > x > 2, 12 > x > 9, and x + 1 < 13, then x is
How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
The average of first 11 prime numbers is?
On flipping 3 coins together what is the outcomes for at least three TAILl?
If 12!/3^x is an integer, what is the greatest possible value of x?
Number of prime numbers between 70 and 100 is
Carl is facing very difficult financial times and can only pay the interest on a $10,000 loan he has taken. The bank charges him a quarterly compound rate of 4%. What is the approximate interest he pays annually?
If x ≠ 0 and y/x=y+x, which of the following expressions is equal to its opposite?
In a renowned city, the average birth rate is 5 people every two seconds and the death rate is 3 people every two seconds. Estimate the size of the population net increase that occurs in one day.
A bag contains a certain number of 50 paise coins, 20 paise coins and 10 paise coins inthe ratio 3:4:5. If the total value of all the coins in the bag is Rs.350, find the number of 50 paise coins ?
The cost price of three varieties of oranges namely A, B and C is Rs 20/kg, Rs 40/kg and Rs 50/kg. Find the selling price of one kg of orange in which these three varieties of oranges are mixed in the ratio of 2 : 3 : 5 such that there is a net profit of 20%?
A certain class of students is being divided into teams. The class can either be divided into 8 teams with an equal number of players on each team or 24 teams with an equal number of players on each team. What is the lowest possible number of students in the class?
The compound ratio of 5:6, 3:4 and 4:5?
A 8000 liter tank, half-full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes. At the same time, the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes. How many minutes does it take to fill the tank completely?
If x = -3/7 and y = -2/3, what is the value of the expression -2x – y^2?
Find the simple interest on $2500 for 3 years at 10% per annum?
A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is
What is the remainder when 6990990900032 is divided by 32 ?
Which of the following points is closest to line y=x
What is the average (arithmetic mean) of the numbers 2, 4, 6, 8, 10, 12, 14 and 16?
What is the greatest integer that will always evenly divide the sum of three consecutive integers?
A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?
A ship sails out to a mark at the rate of 15 kmph. and sails back at the rate of 10 kmph. The average rate of sailing is ?
The unit digit in the product (594 * 897* 929 * 462) is:
A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 18% less than the price each head sold for the day before.what was the gross profit on this shipment?
How much time will it take for an amount of 450 to yield 81 as interest at 4.5% per annum of simple interest?
Ramu bought an old car for Rs. 40000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
If the sum of a set of 5 different positive prime numbers is 94, what is the difference between largest and smallest prime numbers between them?
The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
Ms. Mary sold two properties, X and Y, for $40,000 each. She sold property X for 20 % more than she paid for it and sold property Y for 20% less than she paid for it. If expenses are disregarded , what was her total net gain or loss, if any, on the two properties ?
In a recent election, Ms. Robbins received 8,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 5 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?
The jogging track in a sports complex is 850 m in circumference. Rakesh and his wife start from the same point and walk in opposite directions at 4.2 km/hr and 3.3 km/hr respectively. They will meet for the first time in?
Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is?
A and B together can complete work in 6 days. A alone starts working and leaves it after working for 3 days completing only half of the work. In how many days it can be completed if the remaining job is undertaken by B?
If TEAR is coded as 4657 and BOX is coded as 125. How is BETA coded?
If 20 typists can type 44 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
What is the 29th digit to the right of the decimal point in the decimal form of 4/11?
20 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres?
Mane and Thomas are among the 8 people from which a committee of 4 people is to be selected. How many different possible committees of 4 people can be selected from these 8 people if at least one of either Mane or Thomas is to be selected?
There are a lot of houses such that the numbers of their doorplates are odd numbers and the first number of the doorplates is 545, the last number of the doorplates is 855. How many houses are there?
Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed musthe travel to reach A at 1 PM?