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big_math_dataset

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A bowl was filled with 120 ounces of milk, and 0.01 ounce of the milk evaporated each day during a 60-day period. What percent of the original amount of milk evaporated during this period?
In how many ways Chief Minister and Minister be elected from a team of 12 members?
Positive Integer A gives the remainder of 18 when divided by another positive Integer B. If A/B = 147.24, what is the value of B?
The average (arithmetic mean) of a normal distribution of a school's test scores is 65, and standard deviation of the distribution is 6.5. A student scoring a 77 on the exam is in what percentile of the school? Choices
A cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?
The two lines y=x and x=-8 intersect on the coordinate plane. What is the value of the area of the figure formed by the intersecting lines and the x-axis?
One woman and one man can build a wall together in three hours, but the woman would need the help of two girls in order to complete the same job in the same amount of time. If one man and one girl worked together, it would take them five hours to build the wall. Assuming that rates for men, women and girls remain constant, how many hours would it take one woman, one man, and one girl, working together, to build the wall?
In how many ways can the letters of the word WAYS be arranged in a row so that the vowels appear in alphabetic order?
5358 x 61 = ?
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
If Sn is the sum of the first n terms of a certain sequence and if Sn = n(n+3) for all positive integers n, what is the third term of the sequence?
On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 130 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?
A school has received 60% of the amount it needs for a new building by receiving a donation of $300 each from people already solicited. People already solicited represent 40% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to complete the fund raising exercise?
The star running back on our football team got most of his total yardage running. The rest was catching passes. He caught passes for 60 yards. His total yardage was 150 yards. The running back for the other team got 200 yards. How many yards did the star running back on our football team get running?
25 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.
A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 26 km/hr. Find the total journey in km.
A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If18 were to be added to each score, which of these three statistics would change?
In how many ways can you line up 7 people in a row if one of them, Stephen, cannot be in the middle or at the either end?
Arun borrowed a sum for 4 years on S.I. at 12%. The total interest paid was Rs. 360. Find the Principal.
14 men and 3 boys finish a job in 7 days, 14 men and 14 boys finish it in 6 days. 13 men and 13 boys shall finish it in how many days?
Jim wishes to buy 3 gifts that cost 23 dollars, 9 dollars, and 12 dollars. He has 1/4 of the money he needs. How much more money must he earn in order to buy the gifts?
A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
25 is subtracted from 75% of a number, the result is 50. Find the number?
What is 92% of 3/4?
J and M were each paid x dollars in advance to do a certain job together. J worked on the job for 8 hours and M worked for 2 hours less than J. If M gave J y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that J was paid in advance?
My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years ?
A certain truck uses 18 gallons of diesel fuel in traveling 250 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?
If all the sides of a right triangle increase in length by 5%, then by what percentage does the area of the triangle increase?
A certain junior class has 1,000 students and a certain senior class has 800 students. Among these students, there are 40 siblings pairs, each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected at will be a sibling pair?
The product of all the prime numbers less than 15 is closest to which of the following powers of 10?
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
John has both apples and bananas. The ratio of apples to bananas is 2 to 5. If there are 6 more bananas than apples, how many bananas are there?
If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate?
John's Bank's saving amount is decreased 20% due to loan payment and current balance is Rs.24000. Find the actual balance before deduction?
A company, Chauncy Co., has an annual travel budget of $60,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year?
A man bets on no. 16 on a roulette wheel 14 times and losses each time. On the 15th span he does a quick calculation and finds out that the no. 12 had appeared twice in the 14 spans and is therefore, unable to decide whether to bet on 16 or 12 in the 15th span. Which will give him the best chance and what are the odds of winning on the bet that he takes?
If abc = 1 , cde = 0 , and xyu = 0, which of the following must be zero?
The dimensions of an open box are 52, 40 and 29 cms. Its thickness is 2 cms. If 1 cm3 of metal used in the box weighs 0.5 gms, the weight of the box is?
The perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
The radius of a semi circle is 6.83 cm then its perimeter is?
There are 8 men and 10 women and you need to form a committee of 5 men and 6 women. In how many ways can the committee be formed?
There are 36 students in a certain geometry class. If one third of the students are boys and three fourths of the boys are under six feet tall, how many boys in the class are under six feet tall?
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 40 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 goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/8:1/3:1/4?
8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 6 men, 4 women and 10 children together complete the piece of work?
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 51 kmph, find the speed of the stream?
How many digits are in the number 50^8 × 8^3 × 11^2 x 10^4?
David was born 5 years after his father's marriage. His mother is 4 years younger than his father but 20 years older than David who is 8 years old. At what age did the father get married ?
A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 98 are wrong and the other digits are correct , then the correct answer would be :
In a hotel we can order two types of varieties, but we can make 8 more varieties in home. One can choose the four varieties with two from hotel as must. Find how many ways one can order.
Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?
The spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. The diameters of two of these are 1 1/2 cm and 2 cm respectively. The diameter of third ball is?
In climbing a round pole of 80 meters height, a monkey climbs 5 meters in a minute and slips 2 meters in the alternate minute. To get to the top of the pole, the monkey would take :
Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get Rs. 150. What is the share of Kim?
When n is divided by 19, the remainder is 6. When n is divided by 11, the quotient is equal to Z, and the remainder is equal to 6. Z must be divisible by which of the following numbers?
On dividing 22 by a number, the quotient is 7 and the remainder is 1. Find the divisor.
An artist wishes to paint a circular region on a square poster that is 3.4 feet on a side. If the area of the circular region is to be 1/2 the area of the poster, what must be the radius of the circular region in feet?
Quentin's income is 60% less than Dev's income, and Sam's income is 25% less than Quentin's income. If Dev gave 60% of his income to Sam and 40% of his income to Quentin, Quentin's new income would be what fraction of Sam's new income?
If xy = 5 and x^2 + y^2 = 10, then x/y + y/x =
About the number of pairs which have 18 as their HCF and 136 as their LCM, the conclusion can be
The smallest number which when diminished by 2, is divisible by 12, 16, 18, 21 and 28 is
if QUESTION =DOMESTIC what will b code for RESPONSE ????
Adams, Smith, Derek, Alex and Bob bought movie tickets in one row next to each other. What is the probability that Bob and Adams will each sit next to each other?
The l ength of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
A certain boxer has agreed to pay his opponent a fee of 2.5% of his total purse for every pound over the specified weight limit he weighs in. If the boxer pays his opponent a fee of $225,000 after weighing in seven pounds over the specified limit, what was the boxer's purse?
Calculate how many days it will take for 10 boys to paint a 80 m long wall if 6 boys can paint a 70 m long wall in 8 days,
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. 6 per square feet if there is one door of dimensions 6 feet * 3 feet and three WINDOWS of dimensions 4 feet * 3 feet each?
A, B and C, each working alone can complete a job in 6, 8 and 12days respectively. If all three of them work together to complete a job and earn $2500, what will be C's share of the earnings?
A boy was asked to multiply a number by 22. He instead multiplied the number by 44 and got the answer 308 more than the correct answer. What was the number to be multiplied?
5292 can be expressed as a product of primes as
If a, b, c are consecutive positive integers and a<b<c, which of the following must be true? I. c-b=1 II. abc is an even integer III. (a+b+c)/3 is an integer
The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 15% alcohol, is?
A number when successively divided by 3,5 and 8 leaves remainders 1,4 and 7 respectively. Find the respective remainders R when the order of the divisors is reversed.
A question paper has 2parts, A & B, each containing 10 questions. If a student has to choose 8 from part A &5 from part B, in how many ways can he choose the questions?
A car driver travels from the plains to the hill station, which are 200 km apart at an average speed of 30km/hr. in return trip, he covers the same distance at an average speed of 20km/hr. the average speed of the car over the entire distance of 400 km is
A rower can row upstream at 18 kph and downstream at 34 kph. What is the speed of the rower in still water?
The average of 15 numbers is 15. If the average of first five numbers is 14 and that of other 9 numbers is 16, then find the middle number.
Mary's income is 60% more Than Tim's income and Tim's income is 60% less than Juan's income.What % of Juan's income is Mary's income.
A 470 m long train is running at a speed of 55 Km/hr. It crossed a platform of length 520 m in ?
A person spent Rs. 5,040 from his salary on food and 5,000 on house rent. After that he was left with 20% of his monthly salary. What is his monthly salary ?
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. 59.29, the number of the member is the group is:
A and B together can complete work in 8 days. A alone starts working and leaves it after working for 6 days completing only half of the work. In how many days it can be completed if the remaining job is undertaken by B?
When all the students in a school are made to stand in rows of 46, 36 such rows are formed. If the students are made to stand in rows of 42, how many such rows will be formed ?
Complete the series 20, 19, 17, ...., 10, 5
Find the number which when increased by 11 is equal to 60 times the reciprocal of the number
If 15 students in a class average 75% on an exam and 10 students average 95% on the same exam, what is the average in percent for all 25 students?
If v, w, x, y, and z are five different prime numbers, which of the following is the smallest possible value of v + w + x + y + z?
If Finn was 20 months old one year ago, how old was he, in months, x months ago?
A man has Rs. 520 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
At what rate percent per annum will a sum of money double in 5 years.
A train 165 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
A used-book dealer sells paperback books at 3 times the dealer's cost and hardback books at 4 times the dealer's cost. Last week, the dealer sold a total of 130 books, each of which had cost the dealer $1. If the gross profit (sales revenue minus the dealer's cost) on the sale of all of these books was $300, how many of the books sold were paperbacks?
A man travelled from the village to the post office at the rate of 25kmph and walked backed at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post office from the village?
Yesterday it took Robert 3 hours to drive from City X to City Y. Today it took Robert 2.5 hours to drive back from City Y to City X along the same route. If he had saved 15 minutes in both trips, the speed for the round trip would be 50 miles per hour. What is the distance between city X and city Y?
87th number in the series 2, 10, 26,50,……….
Two numbers when divided by a divisor leave remainders of 228 and 352 respectively. The remainder obtained when the sum of the numbers is divided by the same divisor is 68. Find the divisor.
A train 825 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 90 seconds. The speed of the train is:
A man can row 8 kmph in still water. When the river is running at 3 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
If x and y are integers, what is the least positive number of 24x+20y?