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big_math_dataset

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The principal that amounts to Rs. 4893 in 3 years at 6 1/4 % per annum C.I. compounded annually, is?
Look at this series: 15, 15, 27, 27, 39, 39, 51, 51, ... What number should fill the blank?
Increasing the original price of an article by 6 percent and then increasing the new price by 6 percent is equivalent to increasing the original price by
A and B together can do a work in 7 days. If A alone can do it in 56 days. In how many days can B alone do it?
Pipes A and B can fill a cistern in 8 and 56 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
A coin is tossed 4 times. What is the probability that the number of Heads is equal to the number of Tails?
The salary of all officers is increased twice successively by 20%. What is the net percentage increase in their salaries?
A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 860 in 4 years. The rate of interest per annum is?
If (y - 1)(z - 9) +15(z - 9) = 0, then which of the following must be true?
The area of a sector of a circle of radius 5 cm formed by an arc of length 3.5 cm is?
The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:
A, B and C enter into a partnership. A invests 3 times as much as B invests and 2/3 of what C invests. At the end of the year, the profit earned is Rs. 12375. What is the share of C?
Ages of two coworkers differ by 26 years. If 8 years ago, the elder one was twice as old the younger one, find their present age
The radius of a semi circle is 6.8 cm then its perimeter is?
A train covers a distance of 11 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
In a 1000 m race, A beats B by 90 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
A train 210 m long passed a pole in 21 sec. How long will it take to pass a platform 310 m long?
If x2 + kx - 3, is divisible by (x - 1), What is the value of k
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 9 hours and 49 hours respectively. The ratio of their speeds is?
What are the last three number of this series 11234783131?
A mom and dad want to take thier 16 year old daughter, 14 year old son and 7 year old son on a trip to Six Flags. An adult ticket costs $25.50. A child under the age if 12 costs $20.50 and children under 5 are free. There is a promotion to get 15% off of two adult tickets when you buy two adult tickets at full price. How much will it cost the family total including the discount to purchase their tickets?
If a certain sample of data has a mean of 18.0 and the value 26.0 is more than 2.5 standard deviations from the mean, which of the following could be the standard deviation of the sample
A man saves Rs 100 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years.
In how much time will a train of length 100 m, moving at 36 kmph cross an electric pole?
6persons enter a lift on the ground floor of a 9floor apartment. Assuming that each of them independently & with equal probability can leave the lift at any floor beginning with the first, what is the probability that all the 6persons are leaving the lift at different floors?
By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Donovan took a math test and got 35 correct and 11 incorrect answers. What was the percentage of correct answers? (Round to the nearest hundredth)
What distance (in meters) will be covered by a bus moving at 54 km/hr in 15 seconds?
Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 50% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be
Out of three consecutive odd numbers nine times the first number is equal to addition of twice the third number and adding 9 to twice the second . What is the first number?
How many integers between 50 and 200 are there such that their unit digit is even?
An electric pump can fill a tank in 5 hours. Because of a leak in the tank, it took 10hours to fill the tank. If the tank is full, how much time will the leak take to empty it?
Let the second number be 3x, so that the first number is 6x and the third number is 2x.
In a garden, trees are planted in rows. In each row there are as many trees as the number of rows in the garden. If each tree bears as many fruits as the number of trees in each row and if the total number of fruits from the trees in that garden is n, then :
There are 3 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair. what is the number of pair that can be formed.
Three partners A, B, C in a business invested money such that 4(A’s capital) = 2(B’s capital) = 8(C’s capital) then, The ratio of their capitals is
A gardener grows cabbages in her garden that is in the shape of a square. Each cabbage takes 1 square feet of area in her garden. This year, she has increased her output by 199 cabbages as compared to last year. The shape of the area used for growing the cabbages has remained a square in both these years. How many cabbages did she produce this year?
A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at?
In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 160 of the workers of that company are men, how many of the workers are women?
A number is trebled and 10 is added. If the resultant is doubled, it becomes 96. What is that number?
In a certain school , 55 percent of student are females and the rest are males . In school elections , If 60 percent of males and 80 percent of females are expected to vote for a candidate (A) , what percent of students are expected to vote for candidate (A) ?
A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 120 kilometers?
Nil and Ethan are brothers. They left their home at the same time and drove to the same beach. Nil drove at a speed of 70 miles per hour. Ethan drove at a speed of 20 miles per hour. Nil arrived at the beach 0.5 hour earlier than Ethan. What is the distance between their home and the beach?
A certain manufacturer of cake, muffin, and bread mixes has 140 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 20 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
At the beginning of 2010, 60% of the population of Town X lived in the south and the rest lived in the north. During 2010, the population of Town X grew by 5.5%. If the population in the south grew by 4.5%, by how much did the population in the north grow?
If x/(9p) is an odd prime number, where x is a positive integer and p is a prime number, what is the least value of x?
A person traveled 3 equal distances 4km/hr, 5km/hr, 6km/hr then find its avg speed?
The ratio of 3 seconds to 30 hours
A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
When 60 per cent of a number is added to another number the second number increases to its 140 per cent. What is the ratio between the first and the second number?
A salt manufacturing company produced a total of 3000 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?
Find out the wrong number in the given sequence of numbers. 1, 2, 6, 15, 31, 56, 91
A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.
A boy was asked to multiply a number by 25. He instead multiplied the next number by 52 and got the answers 324 more than the correct answer. The number to be multiplied was
In an examination it is required to get 30% of minimum marks to pass. A student got 170 marks and was declared failed by 10 marks difference. Then what is total marks:?
The ratio of 2 numbers is 3:7 and their H.C.F. is 10. Their L.C.M. is ?
At a summer camp with 900 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 900 campers will the 8- to 12-year-olds represent?
A man spends 1810 for buying bed sheets at 200 each and pillows at 70 each. What will be the ratio of bed sheets to pillows when maximum number of bed sheets are bought?
Look at this series: 8, 22, 8, 28, 8, ... What number should come next?
A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. What was the number he chose?
A shop sells two variants of chocolates - one that costs $3 and the other that costs $5. If the shop sold $121 chocolates on a given day, how many different combinations of (number of $3 sold, number of $5 sold) exist?
2 trains starting at the same time from 2 stations 200km apart and going in opposite direction cross each other ata distance of 110km from one of the stations.what is the ratio of their speeds.
Find the average of all the numbers between 26 and 54 which are divisible by seven
The side of a square has the length of 6. What is the area of the region shaded?
A painter intends to mixed two jars of paint to create a new color. He chooses one paint jar randomly from a display containing 2 red and 4 blue samples, and a second jar is chosen at random from a different display containing 3 red and 2 blue samples. If he plans on mixing the two chosen jars together, what is the probability that when mixed together, the result will be purple paint? (The color purple is created with 1 part red and 1 part blue.)
There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is?
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
Of the families in City X in 1998, 30 percent owned a personal computer. The number of families in City X owning a computer in 2002 was 20 percent greater than it was in 1998, and the total number of families in City X was 8 percent greater in 2002 than it was in 1998. what percent of the families in City X owned a personal computer in 2002?
A three-person committee must be chosen from a group of 7 professors and 15 graduate students. If at least one of the people on the committee must be a professor, how many different groups of people could be chosen for the committee?
A car after covering ½ of a journey of 100 km develops engine trouble and later travels at ½ of its original speed. As a result, it arrives 2 hours late than its normal time. What is the normal speed of the car is?
Running at the same constant rate,6 identical machines can produce a total of 270 bottles per minute.At this rate,how many bottles could 8 such machines produce in 4 minutes ?
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?
The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?
The average of 5 consecutive integers starting with m as the first integer is n. What is the average of 13 consecutive integers that start with (m + 2)?
The ratio of two quantities is 5 : 4. If each of the quantities is increased by 10, what is the ratio of the new quantities?
If two numbers, a and b, are to be chosen from a set of 4 consecutive integers starting with 1 and a set of three consecutive even integers starting with 8, respectively, what is the probability that b/a will not be an integer?
If x is a positive number and a=√x∗x−x, which of the following must be true? I. a is even II. a is positive III. a is an integer
Ronald and Elan are working on an assignment. Ronald takes 6 hrs to type 32 pages on a computer, while Elan takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
If the sum of 7 consecutive integers is x, which of the must be true? I. x is even II. x is odd III. x is a multiple of 7
Bruno and Sacha are running in the same direction around a stadium. Sacha runs at a constant speed of 6 meters per second, and Bruno runs at a constant speed of 5 meters per second. At a certain point Sacha overtakes Bruno. If two minute afterward, Sacha stops and waits for Bruno to reach him, then how many seconds does he have to wait?
A team of six entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
A group of people,dogs, and birds has seventy legs, thirty heads, and twenty tails. How many cats are among this group? (Assume all birds have two legs and a tail.)
A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.15 less, he could have gained 25%. What is the cost price?
A pool which was 5/6 full to begin with, was filled at a constant rate for 5/3 hours until it was until it was 6/7 full. At this rate, how much time would it take to completely fill this pool if it was empty to begin with?
A tank is filled in 5 hours by three pipes P, Q and R. The pipe R is twice as fast as Q and Q is twice as fast as P. How much time will pipe P alone take to fill the tank?
A man buys an article for rs.27.50 and sells it for rs.28.50. find his gain %.
A sporting goods store sold 64 Frisbees in one week, some for $3 and the rest for $4 each. If receipts from Frisbee sales for the week totaled $196 what is the fewest number of $4 Frisbees that could have been sold?
A rectangular lawn of dimensions 70 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
John bought a total of 20 Mangoes and Oranges. Each Mango costs 80 cents and each orange costs 60 cents. If the average price of the 20 mangoes and oranges that John originally purchased was 65 cents, then how many oranges needs to return to raise the average price of his purchase to 72 cents?
If W = {1, 7, 18, 20, 29, 33}, how much less is the mean of the numbers in W than the median of the numbers in W?
If A and B are two prime numbers bigger than 2, which of the following can be true? (1) A + B is an even number. (2) A x B is also a prime number. (3) A- B is also a even number.
Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 35% buy apples. If 16% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?
The simple interest at a% for a years will be $a on a sum of
{1/(4+√15)} =
Nicky and Cristina are running a race. Since Cristina is faster than Nicky, she gives him a 36 meter head start. If Cristina runs at a pace of 4 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?
Two trains of length 100 m and 200 m are 200 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
If a, b, and c are positive numbers such that (a/(a+b))(10) + (b/(a+b))(20)=c and if a<b which of the following could be the value of c?
Calculate the speed of a boat in still water (in km/hr) if in one hour, the boat goes 15 km/hr downstream and 7 km/hr upstream.
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
In a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is: