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big_math_dataset

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A chair is bought for Rs.900/- and sold at Rs.810/- find the loss percentage
If 9!/3^x is an integer, what is the greatest possible value of x?
eight children, Arya, Betsy, Chen, Daniel, Emily, and Franco, are to be seated in a single row of six chairs. If Betsy cannot sit next to Emily, how many different arrangements of the six children are possible?
Mr. Evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. If Mr. Evans has 3 children and 6 grandchildren, then approximately what percentage of Mr. Evans estate wil...
Egg Street begins at Toast Street and runs directly east for 6.6 kilometers until it ends when it meets Jam Street. Egg Street is intersected every 120 meters by a perpendicular street, and each of those streets other than Toast Street and Jam Street is given a number beginning at 1st Street (one block east of Toast St...
On flipping 3 coins together what is the outcomes for at least three tails?
If x and y are positive integers such that x < y and z=x/y, which of the following must be true? I. z>(x − 1)/(y − 1) II. z>(x − 1)/(y − 1) III. z>(x + 1)/(y - 1)
In a series of six consecutive even numbers, the sum of the fifth and sixth numbers is 42. What is the second number?
The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Which of the following is not an odd function?
A, B and C invest in a partnership in the ratio: 7/2, 4/3, 6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 22,680, then what is B's share in the profit?
Anita, Indu and Geeta can do a piece of work in 18 days, 27 days and 36 days respectively. They start working together. After working for 4 days. Anita goes away and Indu leaves 7 days before the work is finished. Only Geeta remains at work from beginning to end. In how many days was the whole work done?
Country C imposes a two-tiered tax on imported cars: the first tier imposes a tax of 14% of the car's price up to a certain price level. If the car's price is higher than the first tier's level, the tax on the portion of the price that exceeds this value is 8%. If Ron imported a $14,000 imported car and ended up paying...
A train 500 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Dacid obtained 86, 89, 82, 87 and 81 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
What is the are of an equilateral triangle of side 12 cm?
If one-third of one-fourth of a number is 18, then three-tenth of that number is: A. 35
The true discount on a bill of Rs.4320 is Rs.720.The banker's discount is
How many revolutions will it take for a circular wheel of 1.52 m radius to travel a distance of 1 km?
Pat, Kate, and Mark charged a total of 126 hours to a certain project. If Pat charged twice as much time to the project as Kate and 1/3 as much time as Mark, how many more hours did Mark charge to the project than Kate?
Find the area of a cuboid of length 12cm , breadth 6 cm . and height 10cm.
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%?
A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
What is the area of a square field whose diagonal of length 30 m?
Two trains start from A & B and travel towards each other at speed of 70kmph and 80kmph resp. At the time of the meeting the second train has traveled 200km more than the first.the distance between them.
In a particular city there are 100 homes numbered from 1,2,3,..,100. The city was build by a builder from Chennai. There was 4 to 5 shops in the town which was build by a builder from Mumbai. The 2nd builder can build in 1½ times as compared to time by 1st builder. The 2nd builder builds in 15 days, then how many 2's a...
A container has 40L milk. 4L milk is taken out and replaced with water, the process done three times. What is the amount of milk now left?
An outlet pipe can empty 3/4 of a cistern in 12 minutes. In 4 minutes, what part of the cistern will be emptied?
A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
Which voltage source converts chemical energy to electrical energy?
A and B can do a work in 8days, B and C can do it in 12days; A,B and C together can finish it in 6days. A and C together will do it in?
What percent is 2 minutes 24 seconds of an hour?
A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?
The total of the ages of Mahesh, Suresh, Ramesh is 93 years. Ten years ago, the ratio of their ages was 2:3:4. What is the present age of Mahesh?
The cost price of a radio is Rs.1390 and it was sold for Rs.890, find the loss %?
Jack and Jill went up and down a hill. They started from the bottom and Jack met jill again 20 miles from the top while returning. Jack completed the race 1 min a head of jill. if the hill is 440 mts high and their speed while down journey is 1.5 times the up journey. how long it took for the Jack to complete the race ...
The S.I. on a certain sum of money for 5 years at 6% per annum is half the C.I. on Rs. 3000 for 2 years at 15% per annum. The sum placed on S.I. is?
If 18 is 15 percent of 20 percent of a certain number, what is the number?
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Avg cost of 3 apples and 5 bananas isRs. 40.The avg cost of 5 apples and 8 bananas is Rs.65.Find the total cost of 15 apples and 15 bananas?
An officer was appointed on maximum daily wages on contract money of Rs. 4956. But on being absent for some days, he was paid only Rs. 3894. For how many days was he absent?
A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?
John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
The population of a town is 10000. It increases annually at the rate of 20% p.a. What will be its population after 6 years?
A book is bought for Rs.675 and sold for Rs.900, find the profit percentage?
Sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Find the sum?
A man has Rs. 480 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 ?
Pumping alone at their respective constant rates, one inlet pipe fills an empty tank to 1/3 of capacity in 6 hours and a second inlet pipe fills the same empty tank to 2/3 of capacity in 6 hours. How many hours will it take both pipes, pumping simultaneously at their respective constant rates, to fill the empty tank to...
(X+1 )is an even number and Y is a positive odd number. Which of the following expressions cannot be even?
If x^2 + 1/x^2 = √12, what is the value of x^4 + 1/x^4 ?
Find the L.C.M of 16, 25, 24 and 10.
The smallest value of n, for which n+3 is not a prime number, is
If the number92737*2 is completely divisible by 8, then the smallest whole number in place of * will be?
Jerry travels 8 miles at an average speed of 40 miles per hour, stops for 15 minutes, and then travels another 20 miles at an average speed of 60 miles per hour. What is Jerry’s average speed, in miles per hour, for this trip?
X Y +Y X ________ The sum of the two digit numbers above is a three digit number PQ3, where each letter X, Y, P, and Q represents a different non zero digit. Which of the following can be the value of X? I) 7 II) 8 III) 9
List R contains five numbers that have an average value of 40. 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?
The length of a room is 6 m and width is 4.75 m. What is the cost of paying the floor by slabs at the rate of Rs. 900 per sq. metre.
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 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 of the team?
The volume of water in a certain tank is x percent greater than it was one week ago. If r percent of the current volume of water in the tank is removed, the resulting volume will be 90 percent of the volume it was one week ago. What is the value of r in terms of x?
Indu gave Bindu Rs.500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
A chair is bought for Rs.800/- and sold at a loss of 10% find its selling price
What will Rs.1500 amount to in three years if it is invested in 20% p.a. compound interest, interest being compounded annually?
Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 4% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k+n is a multiple of 36?
If a 10 percent deposit that has been paid toward the purchase of a certain product is $150, how much more remains to be paid?
By selling 66 metres of cloth a person gains the cost price of 22 metres. Find the gain percent.
6 professors and 6 students are being considered for membership on a supervisory committee which must consist of 3 people. If the committee has to include at least 5 professor, how many ways can this committee be formed?
If A^2 + B^2 = 15 and AB = 10, what is the value of the expression (A - B)^2 + (A + B)^2
What is the greatest positive integer x such that 3^x is a factor of 9^7?
There are 190 items that are members of set U. Of these items, 49 are members of set B, 59 are not members of either of set A or set B, and 23 are members of both sets A and B. How many of the members of set U are members of set A ?
One fast typist type some matter in 4hrs and another slow typist type the same matter in 7hrs. If both do combine in how much time they will take to finish.
If 2x + y = 7 and x + 2y = 5, then 2xy/3 =?
On a summer camp, 20% of the campers paid $120 each, 35% paid $80 each and the rest paid $65 each. What percentage of the total amount paid came from the campers who paid $80?
What are the last two digits of 33*76*47*22*58*91?
The smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 is
A man has some hens and cows. If the number of heads be 50 and the number of feet equals 160, then the number of hens will be:
A and B play a game where each is asked to select a number from 1 to 16. If the two numbers match , both of them win a prize. Find the probability that they will not win a prize in a single trial.
A boy wants to go abroad by boat and return by flight. He has a choice of 4 different boat to go and 7 flight to return. In how many ways, can the boy perform his journey?
In an examination, a student scores 4 marks for every correct answer and loses I mark for every wrong answer. If he attempts in all 60 questions and secures 130 marks, the number of questions he attempts correctly, is:
Find the value of x: x² - 4x + 4.
A factory produces x widgets per day. The factory's fixed costs are $8000 per day. The price per widget is $80 and the variable costs are $20 per widget. How many widgets need to be produced for profits of $5000 a day?
A circle has 29 points arranged in a clock wise manner from o to 28. A bug moves clockwise manner from 0 to 28. A bug moves clockwise on the circle according to following rule. If it is at a point i on the circle, it moves clockwise in 1 sec by (1 + r) places, where r is the remainder (possibly 0) when i is divided by ...
What is the decimal equivalent of (1/2)^2?
A certain junior class has 1,000 students and a certain senior class has 800 students. Among these students, there are 20 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?
| x | + x^3 =0 solve x ?
In Plutarch Enterprises, 70% of the employees are marketers, 10% are engineers, and the rest are managers. Marketers make an average salary of $50,000 a year, and engineers make an average of $80,000. What is the average salary for managers if the average for all employees is also $80,000?
Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 3% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
If the operation @ is defined for all a and b by the equation a@b =(a/b)+(b/a) then (5@2)-3=?
If p and q are prime numbers, how many divisors does the product p^2 * q^5 have?
Four candidates contested an election and received 3408, 2500, 5050 and 3400 votes respectively. What percentage of the total votes did the winning candidate get ?
Three times the first of three consecutive odd integers is 7 more than twice the third. The third integer is:
Which of the following will give a non-integer on taking cube root?
The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?
At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 17 employees are trained to work in the family buffet, 18 are trained to work in the dining room...
In the county of Veenapaniville, there are a total of 50 high schools, of three kinds: 24 public schools, 16 parochial schools, and 10 private independent schools. These 50 schools are divided between three districts: A, B, and C. District A has 18 high schools total. District B has 17 high schools total, and only two ...
A 6 faced die is thrown. The probability that the die will land on the number 4 is what?
In 2 bags, there are to be put together 5 red and 12 white balls, neither bag being empty. How must the balls be divided so as to give a person who draws 1 ball from either bag-