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big_math_dataset

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The city of Boston decided to reconstruct its major tunnels. It estimated the job would require 612 mini projects spread evenly over an 18 month plan of completion. Only 108 mini projects had been successfully completed after 5 months. At this time, the construction was behind schedule by how many projects?
The average (arithmetic man) of three integers a, b, and c is exactly once the median. If a < b < c and a = 0, what is the value of c/b?
Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A circle in the coordinate plane passes through points (-3, -2) and (2, 4). What is the smallest possible area of that circle?
Suganya and Suriya are partners in a business. Suganya invests Rs. 15,000 for 8 months and Suriya invests Rs.42,000 for 10 months. Out of a profit of Rs.31,570. Suganya's share is
The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest angle is constant). If the largest sector has a central angle of 73°, what fraction of the wheel’s area is represented by the smallest sector?
What no. should be subtracted from x^3+4x^2−7x+12x^3+4x^2−7x+12, if it is to be perfectly divisible by x+3x+3?
A person starts walking at a speed of 5km/hr through half the distance, rest of the distance he covers with aspeed 4km/hr. Total time of travel is 9 hours. What is the maximum distance he can cover?
If y is not equal to zero, and y+1/y = 2, then what is the value of y^4 + (1/y)^4?
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 2 years and that for 10 years?
A and B have monthly incomes in the ratio 5:6 and monthly expenditures in the ratio 3:4. If they save Rs. 1800 and Rs. 1600 respectively, find the monthly income of B
A basket of 1430 apples is divided equally among a group of apple lovers. If 45 people join the group, each apple lover would receive 9 apples less. How many S apples did each person get before 45 people joined the feast?
The angle between the minute hand and the hour hand of a clock when the time is 4.20, is
36 men can complete a piece of work in 18 days. In how many days will 9 men complete the same work ?
Two airplanes fly the same exact route from Atlanta to Chicago. Plane A flies 200 mph while plane B flies 300 mph (assume that simple model versus actual acceleration/deceleration near the airports). If plane A took off exactly 40 minutes before plane B, after how many minutes will plane B overtake plane A?
If the average (arithmetic mean) of 5 positive temperatures is m degrees Fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be:
A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is :
Solve below question 2x + 1 = -21
A certain sum amount to $1400 in 2 yrs and $2000 in five years on certain fixed simple interest. In how many yrs would the amount be $1750 had it been put at the rate of interest compounded annually?
If z is a positive integer, which of the following could NOT be the square of z?
A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Six consecutive traffic signals each show either red or green. How many different arrangements of the six signals are possible?
John makes $60 a week from his job. He earns a raise and now makes $110 a week. What is the % increase?
Find the greatest number which on dividing 1255 and 1490, leaves a reminder of 8 and 11 respectively
In how many ways can 8 people from a group of 9 people be seated around a circular table
A train running at the speed of 60 km/hr crosses a pole in 3 seconds. What is the length of the train?
In how many no. between 10 and 50 exactly Two of the digits is 5?
The cash difference between the selling prices of an book at a profit of 5% and 10% is $3. The ratio of the two selling prices is:
A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
Each week, Harry is paid X dollars per hour for the first 30 hours and 1.5X dollars for each additional hour worked that week. Each week, James is paid X dollars per hour for the first 40 hours and 2X dollars for each additional hour worked that week. Last week James worked a total of 44 hours. If Harry and James were paid the same amount last week, how many hours did Harry work last week?
A right circular cylinder has a height of 21 and a radius of 5. A rectangular solid with a height of 15 and a square base, is placed in the cylinder such that each of the corners of the solid is tangent to the cylinder wall. Liquid is then poured into the cylinder such that it reaches the rim. What is the volume of the liquid?
A single discount equivalent to the discount series of 20%, 10% and 5% is?
The mean of 50 observations was 36. It was found later that an observation 29 was wrongly taken as 23. The corrected new mean is :
2 dice are tossed. What is the probability that the total score is a prime no. is?
The difference between a number and its two-fifth is 510. What is 5% of that number?
Two ants, Arthur and Amy, have discovered a picnic and are bringing crumbs back to the anthill. Amy makes twice as many trips and carries one and a half times as many crumbs per trip as Arthur. If Arthur carries a total of b crumbs to the anthill, how many crumbs will Amy bring to the anthill, in terms of b?
Raffle tickets numbered consecutively from 101 through 250 are placed in a box. What is the probability that a ticket selected at random will have a number with a hundreds digit of 2 ?
A train covers a distance of 12 km in 10 min. If it takes 15 sec to pass a telegraph post, then the length of the train is?
It takes 10 days for digging a trench of 100 m long, 50 m broad and 10 m deep. What length of trench, 25 m broad and 15 m deep can be dug in 30 days ?
Machine P and Machine Q are each used to manufacture 330 sprockets. It takes Machine P 10 hours longer to produce 330 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?
A certain number of men can do a work in 40 days . If there were 5 men less it could be finished in 10 days more . How many men are there?
The sum of two numbers is 40 and their difference is 20. Find their product.
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
If xy = 3 and x^2 + y^2 = 12, then x/y + y/x =
The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
A certain restaurant offers 7 different salads, 5 different main courses, 6 different desserts. If customers choose one salad, one main course and two different desserts for their meal, how many different meals are possible?
Each of the integers from 1 to 18 is written on the a seperate index card and placed in a box. If the cards are drawn from the box at random without replecement, how many cards must be drawn to ENSURE that the product of all the integers drawn is even
A polling company surveyed a certain country, and it found that 35% of that country’s registered voters had an unfavorable impression of both of that state’s major political parties and that 20% had a favorable impression only of Party T. If one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of Party B, then what percentage of the country’s registered voters have a favorable impression of both parties (assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only)?
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
which of the following statement is not correct?
The difference between the length and breadth of a rectangle is 28 m. If its perimeter is 120 m, then its area is:
47% of the students in a class of 36 students has glasses or contacts. How many students in the class have either glasses or contacts?
A used car dealer sold one car at a profit of 25 percent of the dealers purchase price for that car and sold another car at a loss of 20 percent of the dealers purchase price for that car. If the dealer sold each car for $20,000 , what was the dealers total profit or loss, in dollars, for the two transactions combined?
The present population of a town is 300. Population increase rate is 10% p.a. Find the population of town after 1 years?
A bag contains 4 black, 5 yellow and 6 green balls. Three balls are drawn at random from the bag. What is the probability that all of them are yellow?
In a college the ratio of the numbers of boys to the girls is 8:5. If there are 120 girls, the total number of students in the college is?
A building is to be completed in 48 days. To meet the deadline 54 men were employed and were made to work for 10 hours a day. After 30 days 5/9th of the work was completed. How many more workers should be employed to meet the deadline if each workers are now made to work 8 hours a day?
What is the median from the below series 90, 89, 93, 88, 95, 88, 97, 87, and 98
The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
The average age of a husband and his wife was 29 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is :
Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill?
If 100<y<199 and 10<x<100, then the product xy CANNOT be equal to:
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
In a box of 12 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
There are 10 stamps from which two stamps will be selected. We have five stamps which are the same as five of the stamps which could be selected. What is the probability that the two stamps selected will be different from the stamps that we have?
The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
A water tank is two-fifth 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?
How many even numbers greater than 300 can be formed with digits 1,2,3,4,5 no digit being repeated ?
The inside dimensions of a rectangular wooden box are 4 meters by 5 meters by 6 meters. A cylindrical drum is to be placed inside the box so that it stands upright when the closed box rests on one of its six faces. Of all such drums that could be used, what is the volume, in cubic meters, of the one that has maximum volume?
From a pack of 52 cards,two cards are drawn at random together at random what is the probability of both the cards being kings?
Working alone, Mary can pave a driveway in 6 hours and Hillary can pave the same driveway in 6 hours. When they work together, Mary thrives on teamwork so her rate increases by 25%, but Hillary becomes distracted and her rate decreases by 20%. If they both work together, how many hours will it take to pave the driveway?
A dishonest fruit seller professes to sell his goods at the cost price but weighs 800 grams for a kg weight. Find his gain percent.
The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is ?
If the sales tax reduced from 3 1/2 % to 3 1/3%, then what difference does it make to a person who purchases an article with market price of Rs. 10800 ?
Jake and Kay drive at constant speeds toward each other on a highway. Jake drives at a constant speed of 29 km per hour. At a certain time they pass by each other, and then keep driving away from each other, maintaining their constant speeds. If Jake is 155 km away from Kay at 6 am, and also 155 km away from Kay at 11 am, then how fast is Kay driving (in kilometers per hour)?
In a mixture there is ratio of alcohol and water is 4:3.if in this mixture we will add 3litre of water.then ratio become 4:5.then calculate the amount of alcohol?
If a farmer wants to plough a farm field on time, he must plough 100 hectares a day. For technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. What is the area of the farm field and how many days the farmer planned to work initially?
Which of the following statements is definitely false, if M is the sister of N and O. T is M's son and U is M's daughter?
If x is a positive integer with fewer than 3 digits, what is the probability R that x*(x + 1) is a multiple of either 4 or 5?
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 26 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
If a = -0.5, which of the following is true?
A can do a work in 6 days. B can do the same work in 4 days. Both A&B together will finish the work and they got $2000 from that work. Find their shares?
The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
In a circular racetrack of length 100 m, three persons A, B and C start together. A and B start in the same direction at speeds of 10 m/s and 8 m/s respectively. While C runs in the opposite direction at 15 m/s. When will all the three meet for the first time on the track after the start?
Lakshmi invested some money in 15% stock at 200.If Latha wants to invest in an equally good 30% stock ,he must purchase a stock worth of :
Two pipes A and B can separately fill a tank in 20 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
The average weekly salary per head of the entire staff of a factory consisting of supervisors and the laborers is Rs 60.The average salary per head of the supervisors is Rs 400 and that of the laborers is Rs 56.Given that the number of supervisors is 12.Find the number of laborers in the factory
Reduce 368/600 to the lowest terms
Health insurance Plan A requires the insured to pay $1000 or 50% of total cost, whichever is lower. Plan B requires the insured to pay the initial $300, but then pays 80% of the cost over $300. Which of the following is a cost level for which both insurance plans pay out the same amount?
An assembly line produces 36 cogs per hour until an initial order of 60 cogs is completed. The speed of the assembly line is then immediately increased so that it can produce 60 cogs per hour until another 60 cogs are produced. What is the overall average output, in cogs per hour, for the assembly line during this whole time?
Two trains, each 100 m long, moving in opposite directions, cross other in 12 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Square A has an area of 81 square centimeters. Square B has a perimeter of 32 centimeters. If square B is placed within square A and a random point is chosen within square A, what is the probability the point is not within square B?
A circular path of 12 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 50p per m2?
A man rows his boat 95 km downstream and 60 km upstream, taking 2 hours each time. Find the speed of the stream?
If (10^20) – 65 is written as a base 10 integer, what is the sum of the digits in that integer?
All the students of class are told to sit in circle shape. Here the boy at the 10 th position is exactly opposite to 40 th boy. Total number of boys in the class?
If a tire rotates at 400 revolutions per minute when the car is traveling 144km/h, what is the circumference of the tire?
Albert invested Rs. 6500 in a scheme for 2 years at compound interest rate 6.5% p.a. How much amount will Albert get on maturity of the fixed deposit?
Of the four numbers, whose average is 60, the first is one-fourth of the sum of the last three. The first number is