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big_math_dataset

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A rectangular table seats 5 people on each of two sides, with every person directly facing another person across the table. If ten people choose their seats at random, what is probability that any two of them directly face other?
A box contains 4 red balls and 4 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black?
Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?
In 1990 the budgets for projects Q and V were $620,000 and $780,000, respectively. In each of the next 10 years, the budget for Q was increased by $30,000 and the budget for V was decreased by $10,000. In which year was the budget for Q equal to the budget for V ?
Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 17000, then find his savings?
A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Convert the 13/36 m/s into kilometers per hour?
There are 8 boxes numbered from 1 to 8. Either a red ball or a green ball will be placed in each box in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. How many different ways can this be done?
If 7^t is a factor of the product of the integers from 1 to 100, inclusive, what is the largest value of t?
Difference between the length & breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
The number of ways in which one or more balls can be selected out of 10 white, 9 green and 7 blue balls is
A necklace is made by stringing N individual beads together in the repeating pattern green bead, white bead, yellow bead, red bead, and blue bead. If the necklace design begins with a green bead and ends with a yellow bead, then N could equal
the sides of a triangle are in the ratio 3:5:7.if the pereimeter is 60 cms,the longest side is
There are 6 equally spaced points A,B,C,D,E and F marked on a circle with radius R. How many convex pentagons of distinctly different areas can be drawn using these points as vertices?
If in a kindergarten class, there are five children 3 feet 4 inches tall (indicated by notation 3'4"), two children 4'3" tall and thirteen children 2'4" tall, which of the following is the median height of the children?
Find the odd man out 2, 7, 32, 157, 782, 3907, 17251
Find the ratio between whole surfaces of a sphere and a hemisphere?
At a meeting of the 5 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 5 Chiefs of Staff be seated around a circular table?
How much time will it take for an amount of 600 to yield 81 as interest at 4.5% per annum of simple interest?
In Kaya's teacher's desk there are 9 pink highlighters, 8 yellow highlighters, and 5 blue highlighters. How many highlighters are there in all?
Calculate 469138 x 9999 = ?
A rectangular box measures internally 1.6m long, 1m broad and 60cm deep. The number of cubical box each of edge 20cm that can be packed inside the box is:
Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?
A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture
What is the least number should be added to 1056, so the sum of the number is completely divisible by 25?
If a : b = 2 : 3, find the value of (3a + 5b) : (3a – b)
The size of a flat-screen tablet is given as the length of the screen’s diagonal. How many square inches greater is the screen of a square 6-inch flat-screen tablet than a square 5 -inch flat-screen tablet?
A train passes a man standing on the platform. If the train is 160 meters long and its speed is 72 kmph, how much time it took in doing so?
Sarah invested $38,700 in an account that paid 6.2% annual interest, compounding monthly. She left the money in this account, collecting interest for three full years. Approximately how much interest did she earn in the last month of this period?
There is a 35 cm line marked at each centimeter and an insect is placed at every centimeter. 9 frogs are trained to jump a constant distance. The first one jumps 2 cm in every leap, the second one jumps 3 cm and so on until the 9th one jumps 10 cm in every leap and they eat any insect that is available at that spot. If all of them start from start line and finish the entire 35 cm, how many insects were still left after the race was over?
If 4 gallons of gasoline are added to a tank that is already filled to 3/4 of its capacity, the tank is then filled to 9/10 of its capacity. How many gallons does the tank hold?
A man has Rs. 800 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 ?
Find the area of circle whose radius is 7m?
A man sold two similar houses each for Rs. 1,00,000 one at a gain of 20% and another at a loss of 20%. What is net gain or loss?
A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 65000, then the share of B is?
If 9 spiders make 9 webs in 9 days, then how many days are needed for 1 spider to make 1 web?
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
A group of 4 students bought movie tickets in one row next to each other. If Bob and Lia are in this group, what is the probability that Bob and Lia will each sit next to only one of the three other students from the group?
X and Y start a business with Rs.3000 and Rs.6000 respectively. Hoe should they share their profits at the end of one year?
During 2001, a stock lost 80 percent of its value. During the following year, the stock's value increased by 300 percent. Which of the following is the percent change in the stock's value during those two years?
Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 6 kilograms of solution Y and 2 kilograms of solution Y are added to the remaining 4 kilograms of liquid, what percent of this new solution is liquid X?
(51+ 52 + 53 + ... + 100) = ?
The cost to park a car in a certain parking garage is $10.00 for up to 2 hours of parking and $1.75 for each hour in excess of 2 hours. What is the average (arithmetic mean) cost per hour to park a car in the parking garage for 9 hours?
A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
Baseball's World Series matches 2 teams against each other in a best-of-seven series. The first team to win four games wins the series and no subsequent games are played. If you have no special information about either of the teams, what is the probability u that the World Series will consist of fewer than 7 games?
Three 6 faced dice are thrown together. The probability that all the three show the same number on them is
Two trains, each 100 m long, moving in opposite directions, cross other in 6 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.83. How much was lent at 5%?
The quantities S and T are positive and are related by the equation S=K/T, where k is a constant. If the value of S increases by 30 percent, then the value of T decreases by what percent?
Arjun and Sajal are friends . each has some money. If Arun gives Rs. 30 to Sajal, the Sajal will have twice the money left with Arjun. But, if Sajal gives Rs. 10 to Arjun, the Arjun will have thrice as much as is left with Sajal. How much money does Arjun have?
In a camp, there is a meal for 90 men or 180 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal ?
If x, y, and z are negative integers and 3x - 3y = -3z, then which of the following statements must be true? I. x = z II. x > y > z III. x > y
An aeroplane covers a certain distance of 420 Kmph in 6 hours. to cover the same distance in 4 2/3 hours, it Must travel at a speed of
A sum of Rs. 1190 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B’s share is:
John bought 9.25m of cloth for $397.75. Find the cost price per metre.
Initially, the boys and girls in a classroom were in the ratio of 2:3. Then, 4 boys entered the room and 3 girls left the room. Then, the number of girls tripled. Now there are 24 boys in the room. How many girls are currently in the room?
If six persons sit in a row, then the probability that three particular persons are always together is
The average weight of 10 boys increases by 3.5 kg when a new boy comes in place of one of them weighing 50 kg. What might be the weight of the new boy?
Ashly and Vinnie work on a sales staff with 8 other salespeople. If five members of the staff will be chosen at random to attend a sales workshop, what is the probability that both Ashly and Vinnie will be chosen?
If f(x) = 2*(x^4 - 1)/(x^2), what is f(1/x) in terms of f(x)?
If x > 0, x/10 + x/25 is what percent of x?
I came across this problem in the GMATprep software and got it totally wrong! A company consists of 6 senior and 4 junior staff officers. If a committee is created with 2 senior and 1 junior staff officers, how many possible committees are there?
The present worth of Rs. 2310 due 2 years hence, the rate of interest being 15% per annum, is:
What is the minimum value of z for which z^2 + z - 3/10 > 0 is not true?
If k is an integer and 0.0010101 x 10^k is greater than 100, what is the least possible value of k?
A fraction becomes 4 when 1 is added to both the numerator and denominator, and it becomes 7 when 1 is subtracted from both the numerator and denominator. The numerator of the given fraction is :
IF 2+3=31 ; 3+5=134 ; 5+7=368 Then 7+11=?
In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 700 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
If 250!/10^n is an integer, what is the largest possible value of n?
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:
Nobel played a cricket series. His 7 innings score as {50, 75, 90, 115 120, 135, 150 }, find the mean and median of cricket scores of Nobel respectively ?
In how many different ways can the letters of the word 'BANANA' be arranged?
The average age of a group of people were 60 person aged 40 exits the group and average increases to 65. How many people were in the group initally?
What is the dividend. divisor 18, the quotient is 9 and the remainder is 5?
Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 3% 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?
At a circular table for eleven will sit nine adults and two small children. The two children will sit next to each other, and the two parents of the children will sit next to the children so that there is one parent on each side of the two children. If rotating their positions around the table is not considered changing the arrangement, in how many different ways can the eleven people be arranged around the table.
In a set of integers, one-half of the numbers are multiples of 7 and one-third of the numbers are multiples of 3. If one-fifth of the numbers are multiples of both 3 and 7, then what percentage of the number are multiples of 7 but not multiples of 21?
If the wheel is 15 cm then the number of revolutions to cover a distance of 1056 cm is?
A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is
if (64)^2 - (36)^2 = 10x, then x = ?
How many gallons of milk that is 10 percent butter-fat must be added to 8 gallons of milk that is 30 percent butterfat to obtain milk that is 20 percent butterfat?
If 2^4, 3^3, and 10^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
In how many different ways can 4 physics, 4 math, and 4 chemistry books be arranged in a row so that all books of the same subject are together?
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 3:2. The first number is:
Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 6 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full?
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 5 cm?
Albert invested an amount of $8000 in a fixed deposit scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit?
Two persons start running simultaneously around a circular track of length 600 m from the same point at speeds of 20 km/hr and 10 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions ?
The batting average of a particular batsman is 60 runs in 46 innings. If the difference in his highest and lowest score is 170 runs and his average excluding these two innings is 58 runs, find his highest score.
At a speed of 50 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. If the car starts with a full 10 gallon tank of gasoline and travels for 5 hours at 50 miles per hour, the amount of gasoline used would be what fraction of a full tank?
Nicky and Cristina are running a race. Since Cristina is faster than Nicky, she gives him a 36 meter head start. If Cristina runs at a pace of 6 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?
Two sets of 3 consecutive positive odd integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?
How many real roots does the equation x^3y+16xy+64y=0 have if y < 0?
Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was?
If 244,312 football shoes need to be placed in boxes and each box can contain at most 5 pair of football shoes. How many pair of football shoes will be in the last unfilled box? Options:
If a square mirror has a 20-inch diagonal, what is the approximate perimeter W of the mirror, in inches?
Find the simple interest on Rs. 69,000 at 16 2/3% per year for 9 months.
The sum of three consecutive numbers is 252. The greatest among these three number is:
Solution A is 20% salt and Solution B is 60% salt. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% salt solution?