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big_math_dataset

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A car going at 40 miles per hour set out on an 60-mile trip at 9:00 A.M. Exactly 10 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught up with the first car at 10:30 A.M.?
A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
Each of the following numbers has a remainder of 1 when divided by 7 except:
What is the smallest integer R greater than 1 that leaves a remainder of 1 when divided by any of the integers 6, 8, and 10?
If the length of the longest chord of a certain circle is 20, what is the radius of that certain circle?
Assume that 20 cows and 40 goats can be kept for 10 days for Rs.460. If the cost of keeping 5 goats is the same as the cost of keeping 1 cow, what will be the cost for keeping 50 cows and 30 goats for 12 days?
Two observations were made of a clock at different time: 1st observation: The hour hand is exactly at a minute mark and the minute hand is six minutes ahead of it. 2nd observation: The hour hand is exactly on a dissimilar minute mark and the minute hand is seven minutes ahead of it. Can you find out how much time has p...
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
A man can row a boat at 20 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 weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person?
Given distinct positive integers 1, 11, 5, x, 2, and 9, which of the following could be the median?
A and B can do a piece of work in 12 days and 24days. Both starts the work together for some time, but B leaves the job 6 days before the work is completed. Find the time in which work is finished.
In what ratio should a variety of Rice costing Rs. 20 per kg be mixed with another variety of Rice costing Rs. 31.50 per kg to obtain a mixture costing Rs. 23.75 per kg?
The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the 10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability X that 3 of Sam’s 4 funds grew by at least 10% over last year?
Mike, Jim and Bob are all professional fisherman. Mike can catch 21 fish in one hour, Jim can catch twice as much and Bob can catch 50% more than Jim. If the three started to fish together and after 40 minutes Mike and Bob left, how many fish did the three fishermen catch in one hour?
A reduction of 15% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
In a certain game, you perform three tasks. You flip a quarter, and success would be tails. You roll a single die, and success would be a odd number. You pick a card from a full playing-card deck, and success would be picking a heart card. If exactly one of these three tasks is successful, then you win the game. What i...
The tax on a commodity is diminished by 20% but its consumption is increased by 20%. Find the decrease percent in the revenue derived from it?
Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?
Two isosceles Triangles have equal vertical angles and their areas are in the ratio 9:25. Find the ratio of their corresponding heights .
What is theleast number should be added to 519, so the sum of the number is completely divisible by 25?
A train 410 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.15 km respectively. The time taken by the slower train to cross the faster train in seconds is?
which number need to add to 859622 to get a number exactly divisible by 456?
Tom can lay bus route between twogiven bus stop in 16 days and Andy can do the same job in 12 days. With help of John, they did the job in 4 days only. Then, John alone can do the job in how many days?
At Company K, 20 percent of the employees are secretaries and 60 percent are salespeople. If there are 45 other employees of Company K, how many employees does Company K have?
The diagonal of a rectangle is cm and its area is 20 sq. cm. The perimeter of the rectangle must be:
Series Problem like 4 12 x 44 46 132 134 begin of the Skype highlighting 44 46 132 134 end of the Skype highlighting. Find x?
in a division sum the divisor is 12 times the quotient and 5 times the remainder.if the remainder is 48 what is the dividend
We bought 85 hats at the store. Blue hats cost $6 and green hats cost $7. The total price was $560. How many green hats did we buy?
Gary’s Gas Station serves an average of 15 cars per hour on Saturdays, 10 cars per hour on Sundays, and 9 cars per hour on all other days of the week. If the station is open from 6 a.m. to 10 p.m. every day, how many cars does Gary’s station serve over the course of a typical week?
Before 7 years, dog A’s age was 4 times of dog B’s age and after 4 years, dog A’s age will be 3 times of dog B’s age. What is the difference of dog A’s age and dog B’s now?
Suresh borrows Rs. 10,000 for 2 years at 4 % p.a. simple interest. He lends it to Ramesh at 6 % p.a. for 2 years. Find his gain in this transaction per year.
The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the width of this rectangle.
If the product of 2 integers is negative, at most how many of the integers can be negative?
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers ?
A and B complete a work in 20 days. A alone can do it in 40 days. If both together can do the work in how many days?
In a mayoral election, Candidate X received 1/5 more votes than candidate Y, and Candidate Y received 1/2 fewer votes than Z. If Z received 20,000 votes how many votes did candidate X received?
If a and b are odd integers, a Δ b represents the product of all odd integers between a and b, inclusive. If y is the smallest prime factor of (3 Δ 47) + 2, which of the following must be true?
If -3x > 9, which of the following must be true?
Boy sells a book for Rs. 810 he gets a loss of 10 %, To gain 10%, what should be the SP?
Each of the 59 members in a Arts class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 22 students sign up for the poetry club, 27 students for the history club, and 28 students for ...
A manufacture of printer toner adjusts its price of color toner from $33 to $35 a cartridge and the price of standard black ink toner from $29 to $30 a cartridge if a document printing center spends an average of $1555 a month for toner of which 3/5 is for color cartridges how much more per month will the printing cent...
Dany bought a total of 20 game cards some of which cost $0.25 each and some of which cost $0.15 each. If Dany spent $4.2 to buy these cards, how many cards of each type did he buy?
A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 300. Find the sum?
A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
What is the smallest positive integer x, such that 1,152x is a perfect cube?
How many minutes does it take Dorathy to type 16 words if she types at the rate of 4 words per minute?
Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
40 litres of diesel is required to travel 600 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine?
A person covered one-fourth of the total distance at 12 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
A rower can row upstream at 7 km/hr and downstream at 11 km/hr. What is the rower's rate in still water?
A man is 34 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is?
A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?
A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
A computer is programmed to multiply consecutive even integers 2*4*6*8*…*n until the product is divisible by 1419, What is the value of n?
Let A be the event that a randomly selected two digit number is divisible by 2 and let B be the event that a randomly selected two digit number is divisible by 5. What is P(A and B)?
If the area of a square with sides of length 12 centimeters is equal to the area of a rectangle with a width of 6 centimeters, what is the length of the rectangle, in centimeters?
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?
In an election between two candidates, the winner has a margin of 10% of the votes polled. If 1500 people change their mind and vote for the loser, the loser would have won by a margin of 10% of the votes polled. Find the total number of votes polled in the election?
Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour?
If P represents the product of the first 13 positive integers, which of the following must be true? I. P is an even number II. P is a multiple of 17 III. P is a multiple of 60
Which of the following is an integer? I. 10! / 6! II. 10! / 8! III. 10! / 7!5!
In an election between 2 candidate one have got 53% votes and won by 1057 votes, how many votes were there ?
Set R includes elements {8, 2, 11, x, 3, y} and has a mean of 7 and a median of 5.5. If x < y, then which of the following is the maximum possible value of x?
Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Child A has to sit next to both BG, with these two children immediately adjacent to here on either side. The other four children can sit in any order in any of the remaining seats. How many possible configurations W are there for the ...
Two friends are making lemonade to sell at their lemonade stand. First, they make 14 litres of lemonade containing 21% lemon juice, but that doesn't taste quite right to them. They decide to add some store-bought lemonade that is 31% lemon juice until they have a mixture that is 25% lemon juice. How much of the store-b...
Solve for x and check: - 3x = 12
Little John had $20.10. He spent $1.05 on sweets and gave to his two friends $1.00 each. How much money was left?
Five men and nine women can do a piece of work in 10 days. Six men and twelve women can do the same work in 8 days. In how many days can three men and three women do the work?
By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
If x/y =2/4, then (x-y)/x?
If the ratio of the sum of the first 6 terms of a G.P. to the sum of the first 3 terms of the G.P. is 343, what is the common ratio of the G.P?
Find the value of z when the sum of 10z,(15z+20),(20z-4)and (30z+10) is 401?
The average speed of a car is 1 4/5 times the avg speed of a bike. A tractor covers 575km in 23hrs. How much distance will the car cover in 5hrs if the speed of the bike is twice speed of the tractor?
There is a box with chocolates inside it. When we count the chocolates in pairs, one is left. When we count the chocolates in a group of three, two chocolates are left. When we count the chocolates in a group of four, three chocolates are left. When we count the chocolates in a group of five, four are left. When we cou...
Rahul's Mathematics test had 75 problems, 10 arithmetic, 30 algebra, 35 geometry problems. Although he answered 70% of arithmetic, 40% of arithmetic and 60% of geometry problems correctly, still he got less than 64% problems right. How many more questions he would have to answer more to get passed
Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 16 hours and 49 hours after they passed each other the ratio of the speeds of the two trains was
If 2x + y = 7 and x + 2y = 5, then 8xy/3 =?
If 2 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
I purchases perfume from a store and gave him a thousand rupee note. The perfume cost Rs.300. Since the store person have no change, he gets the change from next shop and return me 800 rupees. After a while, the next shopkeeper comes and told the 1st shopkeeper that the note is a fraud and takes his money back. How muc...
A class of 35 students has an average height of 180 cm. seven students whose average height is 120 cm, left the class and seven others whose average height is 140 cm, joined. Calculate the new average height of the students of the class (in cm) is?
David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 12 family members in a row for the picture?
Pipes A and B can fill a tank in 4 and 2 hours. Pipe C can empty it in 8 hours. If all pipes are opened together, then the tank will be filled in?
A and B enter into partnership with capitals in the ratio 3 : 2. At the end of 10 months A withdraws,and the profits now are divided in the ratio of 1 : 3. Find how long B remained in the business?
A manufacturer of a certain type of screw rejects any screw whose length is less than 2.47 centimeters or greater than 2.5 + 0.03 centimeters. If k represents the length of a screw, in centimeters, which of the following inequalities specifies all the lengths of screws that are acceptable?
We invested a total of $1,000. We invested one part of the money at 3% and the rest of the money at 6%. The total investment with interest at the end of the year was $1,052.50. How much money did we invest at 3%?
If n is an integer greater than 7, which of the following must be divisible by 3?
A vendor bought bananas at 6 for Rs.10 and sold them at Rs.4 for Rs.6 .Find his gain or loss percent .
Amar, Bhavan and Chetan divide an amount of Rs. 5600 among themselves in the ratio 3 : 6 : 5. If an amount of Rs. 400 is deducted from each of their shares, what will be the new ratio of their shares of the amount?
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Private Benjamin is a member of a squad of 10 soldiers, which must volunteer 4 of its members for latrine duty. If the members of the latrine patrol are chosen randomly, what is the probability that private Benjamin will be chosen for latrine duty?
Jane makes toy bears. When she works with an assistant, she makes 62 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent?
If the cost price of 22 pens is equal to the selling price of 20 pens, the gain percent is:
How much is 70% of 40 is greater than 4/5 of 25?
A hall 36m long and 15m broad is to be paved with stones, each measuring 6dm by 5 dm. The number of stones required is:
What is the average of first 21 multiples of 7 ?
A batsman makes a score of 87 runs in the 17th match and thus increases his average by 3. Find his average after 17th match
A diet contains 300 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If a diet provides exactly 38 grams of protein daily, how many grams of food X are in the mixture?
If X can run 48m and Y 42m, then in a race of 1km, X beats Y by: