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big_math_dataset

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a,b,c,d,e,f,g,h sitting in a row what is the probability that a,b,c sitting together?
It rained as much as on Wednesday as on all the other days of the week combined. If the average rainfall for the whole week was 2.5 cms, How much did it rain on Wednesday?
Rs. 1100 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
If n = 9^11 – 9, what is the units digit of n?
Solve below question 6x - 1 = -13
Cars M and N are approaching each other on the same highway. Car M is moving at 55 mph northbound and Car N is moving at 65 mph southbound. At 2:00 pm, they are approaching each other and 195 miles apart. Eventually they pass each other. At what clock time are they moving away from each other and 45 miles apart?
in a party 65% of women wearing black tshirts 50% of the total people in party wearing black t shirts ,then what is the ratio of male is to female.35% of the man wearing black t shirs. There are 120 people in the party.
The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?
This is how Edward’s Lotteries work. First, 8 different numbers are selected. Tickets with exactly 5 of the 8 numbers randomly selected are printed such that no two tickets have the same set of numbers. Finally, the winning ticket is the one containing the 5 numbers drawn from the 8 randomly. There is exactly one winning ticket in the lottery system. How many tickets can the lottery system print?
A garment company declared 15% discount for whole sale buyers. Mr Sachdev bought garments from the company for 25,000 after getting discount. He fixed up the selling price of garments in such a way that he earned a profit of 8% on original company price. What is the approximate total selling price?
One-third of 1206 is what percent of 134 ?
Winson traveled the entire 60 miles trip. If he did the first 10 miles of at a constant rate 20 miles per hour and the remaining trip of at a constant rate 48 miles per hour, what is the his average speed, in miles per hour?
If $1000 is invested at x percent simple annual interest for n years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?
Raj invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
A lacrosse team plays games only against the other five teams in its league and always in the following order: Smiley, Ranch, Broad, Thomas and Jake. If the team’s final game of the season is against Thomas, which of the following could be the number of games in the team’s schedule?
The profit earned by selling an article for Rs 900 is double the loss incurred when the same article is sold for Rs.490. At what price should the article be sold to make 25% profit?
R campers fished for 7 hours. If m of the campers caught 2 fish apiece and the rest caught a combined total of n fish, how many fish did the R campers catch per hour?
The number of multiples of 10 which are less than 1000, which can be written as a sum of four consecutive integers is
A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 12 miles per gallon, and from Town B to Town C, the car averaged 14 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town A through Town B to Town C?
In how many ways a committee, Consisting of 2 men and 3 women can be formed from 8 men and 10 women?
A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Vijay says that his weight is between 75kg and 85 kg. But his younger sister disagrees with Vijay and says that his weight is greater than 70kg but less than 80 kg. Vijay’s mother says that his weight cannot be greater than 78 kg. If all the three predictions are correct, what is the average of different probable weights of Vijay?
In a bank 60 percent employees are men.80%men and 20%women belong to retirement plan.what percent of people belong to retirement plan?
A contractor isengaged for 30days on the condition that he receives Rs.25 for eachday he works & fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was heabsent?
On a dinner date, a couple is sitting around a circular table. Their seating arrangement is considered different only when the position of the couple is different relative to each other. what is the total number of possible seating arrangement for the couple?
Evaluate combination 12C4
What is the least number that should be added to 1076, so the sum of the number is divisible by 23?
A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Dick and Jane each saved $2,500 in 1989. In 1990 Dick saved 9 percent more than in 1989, and together he and Jane saved a total of $5200. Approximately what percent less did Jane save in 1990 than in 1989?
The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
A number Y is chosen at random from the numbers 1, -3, -1, 0, 1, 2, 3. What is the probability that |X|<3?
A certain sum amounts to Rs.2250 in 5 years and Rs.2550 in 7 years. Find the rate % per annum?
Among 200 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?
In a sequence of 40 numbers, each term, except for the first one, is 7 less than the previous term. If the greatest term in the sequence is 282, what is the smallest term in the sequence?
power windows: 60% anti-lock brakes: 25% CD player: 55% The table above shows the number of vehicles at Bill's car dealership that have certain features. No vehicle has all three features, but 10% have power windows and anti-lock brakes, 15% have anti-lock brakes and a CD player, and 22% have power windows and a CD player. What percent of the vehicles at Bill's car dealership have a CD player but no power windows or anti-lock brakes?
A student multiplied a number by 3/5 instead of 5/3. What is the percentage error in the calculation?
If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 6 times, what is the probability that it will land heads up on the first 4 flips but not on the last 2 flips?
What is the least number of digits (including repetitions) needed to express 10^200 in decimal notation?
00 a3 +4b ___ 96 If a and b represent positive single digits in the correctly worked computation above, what is the value of the two digit integer ab?
Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?
A is twice as good a workman as B and they took 7 days together to do the work B alone can do it in.
A die is thrown three times. Events X and Y are defined as below: X : 4 on the third throw Y : 6 on the first and 5 on the second throw What is the probability of X given that Y has already occurred.
If A:B = 1/6: 1/3 B:C = 1/2:1/3 then A:B:C?
Yesterday it took Robert 6 hours to drive from City A to City B. Today it took Robert 4.5 hours to drive back from City В to City A along the same route. If he had saved 30 minutes in both trips, the speed for the round trip would be 90 miles per hour. What is the distance between city A and city B?
What annual installment will discharge a debt of Rs. 1092 due in 3 years at 12% simple interest?
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $580. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $800. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?
20% of a number is added to 120, the result is the same number. Find the number?
P has $32 more than what Q and R together would have had if both B and C had 1/6 of what P has. How much does P have?
What is the difference between the place value and face value of 3 in the numeral 1375?
The sum of two numbers is 12 and the product of the numbers is 35. Find sum of the squares of that numbers.
What least number must be subtracted from 3832 so that the remaining number is divisible by 5?
Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
Every year Taylor goes to the same carnival, and he attempts to shoot a basketball into a small hoop, hoping that he will win a ten-foot tall teddy bear. If the probability that Taylor does not make a basket is 2/5, what is the probability that Taylor makes exactly one basket in three tries?
If the operation € is defined for all x and y by the equation x € y = 2*x*y, then 9 € (4 € 5) =
A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 800 grams. Find the profit percent.
An advertising agency finds that, of its 150 clients, 115 use Television, 110 use Radio and 130 use Magazines. Also, 85 use Television and Magazines, 75 use Television and Radio, 95 use Radio and Magazines. How many use all the three?
An even and an odd integer are multiplied together. Which of the following numbers could not be the square of their product?
For 6-digit integer 46x,y12, when x and y are drawn at random from {3,5,8}, what is the probability W that the integer drawn is divisible by 8? * A solution will be posted in two days.
31 of the scientists that attended a certain workshop were Wolf Prize laureates, and 16 of these 31 were also Nobel Prize laureates. Of the scientists that attended that workshop and had not received the Wolf prize, the number of scientists that had received the Nobel Prize was 3 greater than the number of scientists that had not received the Nobel Prize. If 50 of the scientists attended that workshop, how many of them were Nobel Prize laureates?
If y = 20! + 17, then y is divisible by which of the following? I. 15 II. 17 III. 19
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 36 kmph and 72 kmph. In how much time will the trains cross each other?
The sum of even numbers between 1 and 31 is
Every student at Warcy School is in at least one of three clubs: horseback riding, embroidery, and country dancing, which are the only clubs in existence at the school. The ratio of the number of students in exactly two clubs to the number of students in exactly one club is 4:3, while the ratio of the number of students in exactly two clubs to the number of students in at least two clubs is 5:7. Which of the following could be the total number of students at Warcy School?
Five machines at a certain factory operate at the same constant rate. If four of these machines, operating simultaneously, take 25 hours to fill a certain production order, how many fewer hours does it take all five machines, operating simultaneously, to fill the same production order?
Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 157 per Kg , the price of the third variety per Kg will be?
A shopkeeper has 280 kg of apples. He sells 35% of these at 20% profit and remaining 60% at 30% profit. Find his % profit on total.
Company C produces toy trucks at a cost of $5.00 each for the first 100 trucks and $3.50 for each additional truck. If 500 toy trucks were produced by Company C and sold for $7.00 each, what was Company C’s gross profit?
The speed of the boat in still water in 12 kmph. It can travel downstream through 42 kms in 3 hrs. In what time would it cover the same distance upstream?
The tax on a commodity is diminished by 20% and its consumption increased by 15%. The effect on revenue is?
Because he’s taxed by his home planet, Mork pays a tax rate of 45% on his income, while Mindy pays a rate of only 25% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate?
If y = x^2 + d x + 9 does not cut the x-axis, then which of the following could be a possible value of d? I. 0 II. -3 III. 9
A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.16.80 less, he would have gained 30%. Find the cost of the article.
Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for S to be in the position where U is now shown. The number of degrees through which RSTU is rotated is
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 18 hrs and a machine of type S does the same job in 9 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
361, 289, 225, 169, 121, ?
Shri Prakash walked 40 metres facing towards North. From there he walked 50 metres after turning to his left. After this he walked 40 metres after turning to his left. How far and in what direction is he now from his starting point?
James was hiking on a 10-mile loop trail at a rate of 2 miles per hour. Two hours into James’ hike, John started hiking from the same starting point on the loop trail at 4 miles per hour. What is the shortest time that John could hike on the trail in order to meet up with James?
A reduction of 20% in the price of oil enables a house wife to obtain 4kgs more for Rs.684, what is the reduced price for kg?
Five persons enter the lift of a seven storey building at the ground floor. In how many ways can they get out of lift on any floor other than ground floor
Let f(x,y) be defined as the remainder when (x–y)! is divided by x. If x=24, what is the maximum value of y for which f(x,y)=0?
The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by3 months. Find the age of the teacher.
In the fifth grade at Parkway elementary school there are 420 students. 312 students are boys and 250 students are playing soccer. 90% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?
An analysis of the monthly incentives received by 5 salesmen : The mean and median of the incentives is $7000. The only mode among the observations is $12,000. Incentives paid to each salesman were in full thousands. What is the difference between W the highest and the lowest incentive received by the 5 salesmen in the month?
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 7 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
A man rows his boat 95 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Apple,INC recently conducted a survey and found that 50,000 of its customers live in rural areas. if the number of it customers who live in urban areas is 200 percents grater than the numbers of customers who live in rural areas, how many of Apple,INC customers live in urban areas ?
The present age of the father is 4years more than 4 times the age of his son. 4 years hence, father's age will be 20 years more than twice the age of the son. Find the present age of the father?
The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8700. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Divide 110 into two parts so that one will be 150 percent of the other. What are the 2 numbers?
Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?
From a container having pure milk, 20% is replaced by water and the process is repeated thrice. At the end of the third operation, the milk is
If Y is the smallest positive integer that is not prime and not a factor of 50!, what is the sum of the factors of Y?
Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
What is the least number which when divided by 7, 9, 12 and 18 leaves remainder 4 in each care?
How many multiples of 10 are there between 10 and 290 ?
Solve This 5 + 4 + 1 = 145 8 + 2 + 3 = 328 9 + 6 + 5 = 569 4 + 0 + 2 = 204 Then, 7 + 7 + 4 = ???
The length E of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?