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big_math_dataset

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A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
If Dale works at full efficiency he needs a break of 1 day after every 2 days of work and he completes a job in a total of 20 days. If he works at reduced efficiency, he can work without break and finish that same job in 20 days. Dale's output at reduced efficiency is what fraction of his output at full efficiency?
The length of a train and that of a platform are equal. If with a speed of 126 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
At a certain conference, 32% of the attendees registered at least two weeks in advance and paid their conference fee in full. If 50% of the attendees who paid their conference fee in full did not register at least two weeks in advance, what percent of conference attendees registered at least two weeks in advance?
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.32, the number of 25 paisa coins is?
Whats the next number in this number series ? 18, 46, 94, 63, 52, ?
In the xy-plane, a line has slope 4 and x-intercept 3. What is the y-intercept of the line?
The average (arithmetic mean) of six numbers is 8. If 3 is subtracted from each of four of the numbers, what is the new average?
The average of first five multiples of 5 is?
Two numbers are in the ratio of 5:7. If 20 is subtracted from each number, they are in the ratio of 5:9. What are the two numbers?
Three dwarves and three elves sit down in a row of six chairs. If no dwarf will sit next to another dwarf and no elf wil sit next to another elf, in how many different ways can the elves and dwarves sit?
For positive integers q and r, which of the following can be written as r^2?
What is the area of a square field whose diagonal of length 20 m?
sue has 3 apples. Billy has 12 apples. If billy steals all of sues apples and eats 4 how many does he have left?
Calculate how many days it will take for 7 boys to wash a 35 m long wall if 5 boys can wash a 25 m long wall in 4 days,
What are the last two digits of (301*402*503*604*646*547*448*349)^2
If the simple interest on a sum of money at twelve percent per annum for two years is Rs.3800, compound interest on the same sum for the same period at the same rate of interest is
A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.600, find the original price per kg?
In how many years Rs 200 will produce the same interest at 10% as Rs. 400 produce in 5 years at 12%
Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Jose's share of profit?
A merchant marks his goods up by 30% and then offers a discount of 10% on the marked price. What % profit does the merchant make after the discount?
What is the remainder when 10^49 + 2 is divided by 11?
How many positive integers less than 400 can be formed using the numbers 1, 2, 3 and 5 for the digits?
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Which of the following is closest to (-5/6)^199？
In a group of 4 boys and 6 girls, four children are to be selected. In how many different ways can they be selected such that at least one girl is included?
A can finish a piece of work in 5 days. B can do it in 10 days. They work together for two days and then A goes away. In how many days will B finish the work?
A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 45 minutes. The total distance is?
A certain Social Security recipient will receive an annual benefit of $12,000 provided he has annual earnings of $9,360 or less, but the benefit will be reduced by $1 for every $3 of annual earnings over $9,360. What amount of total annual earnings would result in a 45 percent reduction in the recipient's annual Social Security benefit? (Assume Social Security benefits are not counted as part of annual earnings.)
If the range of the set of numbers {150, 90, 125, 110, 170, 155, x, 100, 140} is 90, which of the following could be x?
If 1535/1038 = a+1/[b+1/{c+(d+ 1/e)}]. Find a*b*c*d*e?
In order to complete a reading assignment on time, Terry planned to read 80 pages per day. However, she read only 40 pages per day at first, leaving 1000 pages to be read during the last 6 days before the assignment was to be completed. How many days in all did Terry have to complete the assignment on time?
Age of a father and his son is in the ratio of 5 : 2. After two years, the ratio becomes 19 : 8. What are the present ages of father and son respectively ?
What is the sum of the prime factors of 121 and the prime factors of 7434
15% people of a village in Sri Lanka died by bombardment, 25% of the remainder left the village on account of fear. If now the population is reduced to 4555, how much was it in the beginning?
A goods train runs at a speed of 72 kmph and crosses a 250 m long platform in 26 seconds.What is the length of the goods train?
Find the odd man out 1,5,14,30,50,55,91.
The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube?
A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 870 in 4 years. The rate of interest per annum is?
A waitress's income consists of her salary and tips.During one week ,her tips were 2/4 of her salary.What fraction of her income for the week came from tips?
A father tells his son, "I was of your present age when you were born". If the father is 36 now, how old was the boy five years back ?
34.94 + 240.016 + 23.98 = ?
The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
How many different subsets of the set {10, 12, 17, 24} are there that contain an odd number of elements?
A car travels from B at a speed of 20 km/hr. The bus travel starts from A at a time of 6 A.M. There is a bus for every half an hour interval. The car starts at 12 noon. Each bus travels at a speed of 25 km/hr. Distance between A and B is 100 km. During its journey ,The number of buses that the car encounter is ?
On Saturday morning, John will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.7, what is the probability that Malachi will return home at the end of the day on the following Monday?
John makes $40 a week from his job. He earns a raise and now makes $60 a week. What is the % increase?
A bank pays interest to its customers on the last day of the year. The interest paid to a customer is calculated as 10% of the average monthly balance maintained by the customer. John is a customer at the bank. On the last day, when the interest was accumulated into his account, his bank balance doubled to $3420. What is the average monthly balance maintained by John in his account during the year?
If 14 lions can kill 14 deers in 14 minutes how long will it take 100 lions to kill 100 deers?
The remainder obtained by the division of two numbers by a common divisor are 33 and 47 respectively. However when the sum of these two numbers is divided by the same divisor, the remainder obtained is only 30. What is the divisor?
jess bakes 5 biscuits for 5 friends. 3 of the friend arrive early and eat 3 biscuits each. How many biscuits are left over if the other friends all have the same number of biscuits?
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?
A dragon has 100 heads. A soldier can cut off 15, 17, 20 or 5 heads, respectively with one blow of his sword. In each of these cases, 24, 2, 14, 17 new heads grow on its shoulders. If all heads are cut off, the dragon dies. Can the dragon ever die?
Find the next number in the series 1, 6, 13, 22, 33, ......
Which of the following is between 1/9 and 5/21?
Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.12 of money?
A disease has infected an ant colony that consists ofworkersandsoldiers: 30% of the soldiers and 14% of theworkerswere infected. If that colony is inhabited by 7000 ants, out of which 1620 are infected, how manyworkersinhabit the colony?
The below sequence is a bit tricky. Can you solve it to find the next number? 7, 25, 325, 4325, ?
Which of the following fractions W, if written as a decimal, would have a 2 in the thousandths place ?
What will come in place of the question mark (?) in the following equation? 25(7.5) × 5(2.5) ÷ 125(1.5) = 5?
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is?
For 1rs 6p interest wat will be for 1000rs?
Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 12. The numbers are
if i sell two articles, one at 20% profit for rs.100 and the other at 20% loss for rs.100, what is my net profit/loss?
In a barrel of juice there is 30 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
How many positive integers will divide evenly into 410?
The sum of money at compound interest amounts to thrice itself in 5 years. In how many years will it be 15 times itself?
If the Average (mean ) of 9 positive temperatures is x degrees fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
Factor: 2x4y3 – 32y3
If there are 6 seats and 2 students, in how many ways can they be seated?
David obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics,Physics, Chemistry and Biology What are his average marks ?
A runner runs the 40 miles from Marathon to Athens at a constant speed. Halfway through the run she injures her foot, and continues to run at half her previous speed. If the second half takes her 11 hours longer than the first half, how many hours did it take the runner to run the second half?
On a scale that measures the intensity of a certain phenomenon, a reading of f+1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of f. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3?
Michelle leaves home everyday at 4 p.m to pick his son from school and returns home at 6 p.m. One day, the school was over at 4 p.m and the son started walking home from school. Michelle, unaware of this, starts from home as usual and meets his son on the way and returns home with him 15 minutes early. If the speed of Michelle is 30 km\hr, find the speed of his son.
Two men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is?
Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.17 per cubic meter?
In a certain sequence of numbers, a1, a2, a3, ..., an, the average (arithmetic mean) of the first m consecutive terms starting with a1 is m, for any positive integer m. If a1=1, what is a14?
If s and t are positive integers, and 3 is not a factor of t, then t may be which of the following?
Z is a set of positive numbers. The median of Z is greater than the mean of Z. Which of the following E must be true? I. At least 50% of the numbers in Z are smaller than the median. II. Less than 50% of the numbers in Z are greater than the median. III. The median of Z is greater than the average of the largest and smallest numbers in Z.
A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together?
What least no. must be subtracted from 101054 so that remaining no.is divisible by 10?
In triangle PQR, the angle Q = 90 degree, PQ = 7 cm, QR = 8 cm. X is a variable point on PQ. The line through X parallel to QR, intersects PR at Y and the line through Y, parallel to PQ, intersects QR at Z. Find the least possible length of XZ
What is y if y + 2x = 10 and x = 3?
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Find the average of all numbers between 1 and 13 which are divisible by 2
If x is equal to the sum of the integers from 30 to 40, inclusive, and y is the number of EVEN integers from 30 to 40, inclusive, what is the value of x+y ?
There are 24 students in a seventh grade class. They decided to plant birches and roses at the school's backyard. While each girl planted 3 roses, every three boys planted 1 birch. By the end of the day they planted 2424 plants. How many birches were planted?
A and B started a partnership business investing capital in the ratio of 3 : 5. C joined in the partnership after six months with an amount equal to that of B. At the end of one year, the profit should be distributed among A, B and C in --- proportion.
A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 36. Find the profit percentage?
In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 60 liters and they are all empty, how much money total will it cost to fuel all cars?
If x and y are positive integers, which of the following CANNOT be the greatest common divisor of 35x and 20y?
The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8,then the second number is :
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 6500, the number of valid votes that the other candidate got, was:
How many terminating zeroes R does 200! have?
75 men working 8 hours per day dig 50 m deep. How many extra men should be put to dig to a depth of 70 m working 6 hours per day?
Rates for having a manuscript typed at a certain typing service are $10 per page for the first time a page is typed and $5 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?
The water level in a reservoir has been dropping at the rate of 14 inches per day. Exactly 5 days ago, the water level was at w inches. What will be the water level exactly 3 days from now if the rate at which the level is dropping remains the same?
If the sum of two numbers is 60 and the H.C.F and L.C.M of these numbers are 3 and 120 respectively, then the sum of the reciprocal of the numbers is equal to: