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big_math_dataset

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There are 76 lights which are functional and each is controlled by a separate On/Off switch. Two children A and B start playing with the switches. A starts by pressing every third switch till he reaches the end. B, thereafter, presses every fifth switch till he too reaches the end. If all switches were in Off position ...
For positive integers n, the integer part of the nth term of sequence B equals n, while the infinite decimal part of the nth term is constructed in order out of the consecutive positive multiples of n, beginning with 2n. For instance, B_1 = 1.2345678…, while B_2 = 2.4681012… The sum of the first seven terms of sequence...
A jar is filled of liquid which is 3 parts water and 5 parts alcohol. How much of this mixture should be drawn out and replaced such that this mixture may contain half water and half alcohol?
A large delicatessen purchased p pounds of cheese for c dollars per pound. If d pounds of the cheese had to be discarded due to spoilage and the delicatessen sold the rest for S dollars per pound, which of the following represents the gross profit on the sale of the purchase? (gross profitequalssales revenueminusproduc...
What is the rate percent when the simple interest on Rs.1200 amount to Rs.400 in 4 Years?
If a and b are different positive integers and b(a + b) = a(a + b), then which of the following must be true? I. a = 1 II. b = 1 III. a < b
Ramesh can complete a work in 12 days, working 7 hours a day. Suresh can complete the same work in 8 days, working 9 hours a day. If Ramesh and Suresh work together working 7 hours a day, in how many days can they complete the work?
A train 250 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
If x, 3, 5, 7 are there and the range and median of them are the same, what is the value of x?
The average of first six prime numbers which are between 40 and 80 is
Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
Determine the value of 62/54 divided by 62/54
A train passes a station platform in 30 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
A and B are two partially filled buckets of water. If 6 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 6 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of water?
With both valves open, the pool will be filled with water in 48 minutes. The first valve alone would fill the pool in 2 hours. If the second valve emits 50 cubic meters of water more than the first every minute, then what is the capacity W of the pool?
What is the smallest number which when diminished by 20, is divisible 15, 30, 45 and 60?
A train running at the speed of 54 km/hr crosses a pole in 9 sec. What is the length of the train?
r=2^(n+2), then in terms of r, 9^n=
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 4 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
In a Question paper there are 6 multiple choice questions. Each question has 3 choices with only one choice as the correct answer. What is the total number of ways in which a candidate will not get all the four answers correct?
Nine children — A, B, C, D, E, F, G, H and I — are going to sit in nine chairs in a row. The children C & F have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?
A train covers a distance of 12 km in 10 min. If it takes 10 sec to pass a telegraph post, then the length of the train is?
A rectangular lawn of length 200m by 120m has two roads running along its center, one along the length and the other along the width. If the width of the roads is 5m what is the area Q covered by the two roads?
One year ago, Mrs Promila was four times as old as her daughter Swati. Six year hence,Mrs. Promila’s age will exceed her daughter’s age by 9 years. The ratio of the present ages of Promila and her daughter is
If abc^2 = b^3 , which of the following must be true? I. ac = b^2 II. b = 0 III. ac = 1
A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 8 cm. What is the length of the wire?
A man rows his boat 90 km downstream and 70 km upstream, taking 3 hours each time. Find the speed of the stream?
Claire has a total of 86 pets consisting of gerbils and hamsters only. One-quarter of the gerbils are male, and one-third of the hamsters are male. If there are 25 males altogether, how many gerbils does Claire have?
When a positive integer A is divided by 11 and 7, the remainders obtained are 1 and 2, respectively. When the positive integer B is divided by 11 and 7, the remainders obtained are 1 and 2, respectively. Which of the following is a factor of (A - B)?
How many E ways are there of placing 6 marbles in 4 bowls, if any number of them can be placed in each bowl?
Wendy begins sanding a kitchen floor by herself and works for 5 hours. She is then joined by Bruce, and together the two of them finish sanding the floor in 2 hours. If Bruce can sand the floor by himself in 20 hours, how long would it take Wendy to sand the floor by herself?
The floor of a rectangular room is 19 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :
When a certain number X is divided by 143, the remainder is 21. Which of the following numbers, if added to X, would result in a number divisible by 13?
√(25)^2
In how many ways E can the crew of a ten oared boat be arranged ,when of the ten persons available, 2 of whom can row only on the bow side and 3 of whom can row only on the stroke side?
A property decreases in value every year at the rate of 6 1/4% of its value at the beginning of the year its value at the end of 3 years was Rs.21093. Find its value at the beginning of the first year?
How many odd integers between 100 and 300 are there such that their tens digit is even?
If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 210 games will be played during the tournament. What is the number of participants?
A polling company found that, of 300 households surveyed, 120 spent at least $100 per month on both gasoline and electricity, 60 spent at least $100 per month on gasoline but not on electricity, and for every household that did not spend at least $100 per month on gasoline or electricity, 4 spent at least $100 per mont...
The H.C.F. of two numbers is 20 and the other two factors of their L.C.M. are 11 and 15. The larger of the two numbers is:
A water tank is half full.Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes.If both the pipes are open,how long will it take to empty or fill the tank completely?
What is the remainder when 1201 × 1202 ×1205 × 1207 is divided by 6?
With what number must 3.475817 be multiplied in order to obtain the number 34,758.17?
The work done by a man, a woman and a child is in the ratio of 3:2:1. There are 20 men, 30 women & 48 children in a factory. Their weekly wages amount to Rs.840, which is divided in the ratio of work done by the men, women and children. What will be the wages of 15 men, 21 women & 30 children for 2 weeks?
Adding 40% of x to x is equivalent to multiplying x by which of the following?
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 36 hrs and a machine of type S does the same job in 18 hours. If the company used the same number of each type of machine to do the job in 6 hours, how many machines of type R were used?
In a group of people, if 30 people were made to stand in each column, 16 columns could be formed. If 40 people were made to stand in a column, how many columns could be formed?
A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 343, what was his profit?
3 candidates in an election and received 1136, 7636 and 10628 votes respectively. What % of the total votes did the winning candidate gotin that election?
A sum of Rs. 13500 amounts to Rs. 15500 in 4 years at the rate of simple interest. What is the rate of interest?
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 4 cans of water to make orange juice. How many 12 ounce cans of concentrate are required to prepare 180 six-ounce servings of orange juice?
How many kilograms of tea powder costing Rs. 31 per kg be mixed with 36 kilograms of tea powder costing Rs. 43 per kg, such that the mixture when sold at Rs. 44 per kg gives profit of 10%?
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?
Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 4 hours?
16 boys or 24 girls can construct the wall in 6 days. the number of days that 8 boys and 4 girls Will take to construct?
Gopi gives Rs. 90 plus one turban as salary to his servant for one year. The servant leaves after 9 months and receives Rs. 60 and the turban. Find the price of the turban.
Pipe A can fill a tank in 6 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
A radio station surveyed 190 students to determine the types of music they liked. The survey revealed that 114 liked rock music, 50 liked folk music, and 41 liked classical music, 14 liked rock music and folk music, 15 liked rock music and classical music, 11 liked classical music and folk music. 5 liked all the three ...
30 % of 2 is equal to
5 is added to a certain number, the sum is multiplied by 2, the product is divided by 5 and 5 is subtracted from the quotient. The remainder left is half of 44. What is the number?
A batsman in his 12th innings makes a score of 48 and thereby increases his average by 2 runs. What is his average after the 12th innings if he had never been ‘not out’?
An air-conditioning unit costs $470. On December there was a discount for Christmas of 16%. Six months later, the holiday season was over so the company raised the price of the air-conditioning by 18%. How much will an air-conditioning unit cost in November?
200 pupil total,out of 125 like pizza,115 like burger, then how many like both?
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 144 grams of water?
105,102,96,?,75,60,42
In a two digit number, the digit in the units place is four times the digit in ten's place and sum of the digits is equal to 10. What is the number?
Of the 20 members of a kitchen crew in traditional Japanese, 17 can prepare sushi, 18 can prepare noodle, and 15 can prepare both. If one member is chosen at random, what is the probability that the member chosen will be someone who can not prepare either dish?
When w is divided by 5, the remainder is 3. When y is divided by 5, the remainder is 4. What is the remainder when w + y is divided by 5?
List R contains five numbers that have an average value of 65. If the median of the numbers in the list is equal to the mean and the largest number is equal to 20 more than two times the smallest number, what is the smallest possible value in the list?
In how many ways can 5 boys and 3 girls be seated on 8 chairs so that no two girls are together?
Bradley owns b video game cartridges. If Bradley’s total is quarter the total owned by Andrew and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
If x is an even integer and y is an odd integer, which of the following must be an even integer?
When 24 is divided by the positive integer b, the remainder is 4. Which of the following statements about b must be true? I. b is even II. b is a multiple of 5 III. b is a factor of 20
In a country named "gpuzzles" 1/2 of 5 = 3. If the same proportion holds, what is the value of 1/3 of 10 ?
What is the place value of 0 in the numeral 2074?
Sudesh was standing in the garden early in the morning after sunrise. His sister Gauri, who was coming from the opposite directions, saw that Sudesh's shadow had fallen to his right. Which directions was Gauri facing?
C individuals pledged to pay equal contributions so that a charity’s goal of $F could be reached. If d of the contributors failed to pay their share, which of the following represents the additional number of dollars that each of the remaining individuals would have to pay in order to allow the charity to reach its goa...
How many distinct prime numbers are factors of 33150?
A cyclist bikes x distance at 10 miles per hour and returns over the same path at 9 miles per hour. What is the cyclist's average rate for the round trip in miles per hour?
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.7 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is:
The perimeter of a triangle is 36 cm and the in radius of the triangle is 2.5 cm. What is the area of the triangle?
Which of the following is the lowest positive integer that is divisible by 5, 6, 7, 8, 9, and 10?
A company has two types of machines, type R and type S. Operating at a constant rate a machine of R does a certain job in 36 hours and a machine of type S does the job in 4 hours. If the company used the same number of each type of machine to do job in 12 hours,how many machine R were used?
A bag contains 5 white balls, 4 black balls, and 6 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?
What is greatest positive integer n such that 2^n is a factor of 12^9?
The five sides of a pentagon have lengths of 2, 3, 4, 5 and 6 inches. five pentagons are considered different only when the positions of the side lengths are different relative to each others. What is the total number of different possible pentagons that could be drawn using these five side lengths ?
At a speed of 60 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. If the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 60 miles per hour, the amount of gasoline used would be what fraction of a full tank?
Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the busi...
If a quarter kg of onions costs 70 paise, how many paise will 100 gm cost?
If 16^y = 2^16, what is y?
At what rate percent on simple interest will a sum of money double itself in 40 years?
Two bike riders ride in opposite directions around a circular track, starting at the same time from the same point. Biker A rides at a speed of 16 kmph and biker B rides at a speed of 14 kmph. If the track has a diameter of 40 km, after how much time (in hours) will the two bikers meet?
Water man has 2 cans of water. The 1st contains 25% water and the rest milk. The 2ndcontains 50% water. How much milk should he mix from each of the containers so as to get 12ltr of water such that the ratio of milk to water is 3 : 5?
Of the three-digit integers greater than 600, how many have two digits that are equal to each other and the remaining digit different from the other two?
A man whose bowling average is 12.4, takes 7 wickets for 26 runs and there by decreases his average by 0.4. the number of wickets taken by him before his last match is?
The average age of husband, wife and their child 3 years ago was 24 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
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 4, respectively, what is the probability that b/a will not be an integer?
16384, 8192, 2048, 256, 16, ?
Sari and Ken climb up a mountain. At night, they camp together. On the day they are supposed to reach the summit, Sari wakes up at 06:00 and starts climbing at a constant pace. Ken starts climbing only at 08:00, when Sari is already 600 meters ahead of him. Nevertheless, Ken climbs at a constant pace of 500 meters per ...