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big_math_dataset

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In a class, the average age of 30 boys is 13 years and the average of 20 girls is 12 years. what is the average age of the whole class?
How many positive three-digit integers are divisible by both 3 and 5?
Abel can complete a work in 10 days, Ben in 12 days and Carla in 15 days. All of them began the work together, but Abel had to leave after 3 days and Ben 4 days before the completion of the work. How long did the work last?
How many times are the hands of a clock at right angle in a day?
Townville has 100 residents, and 20 of them are females. If half of Townville’s male residents are smokers, and 1/2 of the female residents are smokers, which of the following represents the total number of Townville’s residents who are NOT smokers?
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
A jeep takes 3 hours to cover a distance of 440 Km. how much should the speed in Kmph be maintained to cover the same direction in 1/2th of the previous time?
There are 3 people A,B & C. Rs.700 is divided among A,B & C so that A receives 1/2 as much as B and B 1/2 as much as C. What is the C's share is?
Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 35% buy apples. If 17% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?
A cricket bat is sold for $900, making a profit of $225. The profit percentage would be
BILAL spends 30% of his salary on house rent and 55% of the remaining money on food and clothes. He saves the remaining amount. If he saves ?59724 yearly, how much amount does he spend on food and clothes per month ?
The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree is
If the two-digit integers K and N are positive and have the same digits, but in reverse order, which of the following CANNOT be the sum of K and N?
For any real number x, the operatoris defined as: (x) = x(3 − x) If p + 1 =(p + 1), then p =
In how many different number of ways 5 boys and 2 girls can sit on a shopa which can accommodate persons?
A train traveled the first d miles of its journey it an average speed of 60 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. If the train’s average speed over the total distance was 98 miles per hour, what is the value of y?
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 9 minutes, then the area of the park (in sq. m) is:
Of the 8 members of teacher in school, 5 can teach Physics, 7 can teach Math, and 4 can teach both subject. If one member is chosen at random, what is the probability that the member chosen will be someone who can not teach either subject?
In a certain Parallelogram the degree measure of one angle exceeds that of the other by 70 what is the degree measure of the smaller angle?
A man sells 45 lemons for Rs 40 and loses 20%. At how much price should he sell 24 lemons to the next customer to make a 20% profit?
If M = 775 × 778 × 781, what is the remainder when M is divided by 14?
A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:
6 women can do 75 units of work in 8 days by working 5hrs/day. In how many days can 4 women do 30 units of work by working 8hrs/day ?
If a - b = 3 and a^2 + b^2 = 29, find the value of ab.
1,257 1,275 1,527 ........ ........ +7,521 The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 1,2,5 and 7 exactly once in each integer. What is the sum W of the 24 integers ?
In an exam, C scored 35 percent, D scored 65 percent and E 50 percent. The maximum score awarded in the exam is 2000. Find the average mark scored by all the three candidates?
On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is:
What is the sum of the odd integers from 55 to 65, inclusive?
If x = -5 and y = 8, what is the value of 2(x-y)^2 - xy ?
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 11 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
If Mason is now twice as old as Gunther was 10 years ago, and G is Gunther's current age in years, which of the following represents the sum of Mason and Gunther's ages 10 years from now?
A room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width. Find the least number of square tiles of equal size required to cover the entire floor of the room?
If the cp of 12 rubbers is equal to the sp of 8 rubbers, the gain %is ?
If a: b :: 3 : 7, then what is (5a+6b): (a-3b)?
The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
There are 690 male and female participants in a meeting. Half the female participants and one-quarter of the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
If the price of a computer were reduced by 11 percent, which of the following could not be the final price of the computer? (Assume initial price to be integer in cents)
The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages?
Two cars cover the same distance at the speed of 62 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:
Tom found a box of 220 baseball cards. Being a thoughtful older brother, he wanted to save at least 50 percent of the cards for himself and split the remaining cards evenly among his 6 younger brothers. What is the lowest possible number of cards that Tom can save for himself that will also allow each of his 6 younger brothers to get an equal number of cards?
One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number?
In what ratio must rice at $9.30/kg be mixed with rice at $10.80/kg so that the mixture is worth $10/kg?
What is the difference between local value & face value of 9 in the numeral 65693?
Anand finishes a work in 7 days, Bittu finishes the same job in 8 days and Chandu in 6 days. They take turns to finish the work. Anand on the first day, Bittu on the second and Chandu on the third day and then Anand again and so on. On which day will the work get over?
What is the sum of all the multiples of 12 between 30 and 200?
How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 50 m long and 16 1/2 m board?
4 buses runs between Chennai and Mysore. If a man goes from Chennai to Mysore by a bus and comes back to Mysore by another bus, then the total possible ways are
If 3x - y = 6 and x+2y = 8, then what is the value of 4x + y?
A group of 55 adults and 70 children go for trekking. If there is meal for either 70 adults or 90 children and if 21 adults have their meal, find the total number of children that can be catered with the remaining food.
If the number of 37,29n, where n represents the ones digit, is a multiple of 3, then the value of n could be which of the following?
What will the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years.
Each book on a certain shelf is labeled by a single category. For every 2 history books, there are 7 fantasy books and for every 3 fantasy books, there are 8 reference books. If the proportion of history to reference books is doubled, while the proportion of fantasy to reference books is maintained, which of the following could be the number of history books if there are fewer than 60 fantasy books on the shelf after the changes?
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 300 revolutions. How many revolutions does the second wheel make in covering d feet?
Find the average of all prime numbers between 10 and 40
If Log2 x - 5 Log x + 6 = 0, then what would the value / values of x be?
How many positive integers less than 10,000 are such that the product of their digits is 30?
Dawson has to secure 30% marks to clear his exam of class 8th. He got 30 marks and failed by 36 marks. What is the maximum marks ?
Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 50 minutes. The total distance is?
Working alone at its constant rate, machine A produces x boxes in 10 minutes and working alone at its constant rate, machine B produces 2x boxes in 5 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 7x boxes?
A sales staff is composed of a sales manager and two sales people, all of whom earn commission as a percentage of sales. Each sales person earns 5% commission on sales. In a given week, the sales staff earned a total of $2,750 in commissions on $5,000 worth of sales. What commission rate did the sales manager earn during that week?
If you write down all the numbers from 1 to 100, then how many times do you write 3 ?
R is a set containing 8 different numbers. S is a set containing 7 different numbers, all of which are members of R. Which of the following statements CANNOT be true?
A certain list has an average of 6 and a standard deviation of B (B is positive). Which of the following pairs of data when added to the list, must result in a list of 102 data with standard deviation less than B?
In a jar there are 20 white balls, 25 green balls and 32 blue balls. How many balls must be taken out in order to make sure we have 22 balls of the same color?
If the sides of a square are doubled in length, the area of the original square is now how many times as large as the area of the resultant square?
The price of cooking oil has increased by 25% . The percentage of reduction that a family should effect in the use of cooking oil so as not to increase the expenditure on this account is :
A man cheats while buying as well as while selling. While buying he takes 10% more than what he pays for and while selling he gives 20% less than what he claims to. Find the profit percent, if he sells at 11% below the cost price of the claimed weight.
The perimeter of a semi circle is 144 cm then the radius is?
Tough and Tricky questions: Mixture Problems. A drink holding 6 ounces of an alcoholic drink that is 1 part rum to 2 parts coke is added to a jug holding 35 ounces of an alcoholic drink that is 1 part rum to 3 parts coke. What is the ratio of rum to coke in the resulting mixture?
How many pages the book have, if total 306 digits are used to form the page numbers?
Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree, 11/5 seconds after he sees it strike the tree. How far is the man from the wood chopper?
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 36 times, A has killed:
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 15 seconds. The speed of the train is?
On a store counter are exactly two boxes containing only purple marbles and yellow marbles. Box A has 30 purple marbles and 20 yellow marbles; box B has 15 purple marbles and 35 yellow marbles. If Melanie randomly selects one of the boxes and then randomly selects one marble from the box, what is the probability that the marble selected will be purple?
$ represents addition and * represents subtraction,what is the value of the following expression? 15 * 5 $ 15 $ 10 $ 30 * 25 * 35 * 25 $ 20 * 25 * 20
In a tournament prize of 1st, 2nd, and 3rd is given in same interval.If total amount of prize Rs 4800 and prize of 1st is Rs 2000, find the interval??
A player holds 13 cards of four suits, of which seven are black and six are red. There are twice as many diamonds as spades and twice as many hearts as diamonds. How many clubs does he hold
The length of the bridge, which a train 160 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
If x = 9/3 and y = 4/3, what is the value of the expression -2x – y^2?
A rower can row upstream at 22 kph and downstream at 34 kph. What is the speed of the rower in still water?
A truck driver drove for 2 days. On the second day, he drove 3 hours longer and at an average speed of 15 miles per hour faster than he drove on the first day. If he drove a total of 1,000 miles and spent 21 hours driving during the 2 days, what was his average speed on the first day, in miles per hour?
If two of the four expressions x+y, x+5y, x-y, and 5x-y are chosen at random, what is the probability R that their product will be of the form of x^2-(by)^2, where b is an integer?
A man sells a horse for Rs.140 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?
A student travels from his house to school at 10 km/hr and reaches school 1 hour late. The next day he travels 12 km/hr and reaches school 1 hour early. What is the distance between his house and the school?
A box contains 3 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?
A sum fetched total simple interest of 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
When a merchant imported a certain item, she paid a 7 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $112.70, what was the total value of the item?
A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Harry will be either the member chosen to be the secretary or the member chosen to be the treasurer?
121, 169, 225, 289, 361, ?, F ind the missing number(?).
On a two-dimensional coordinate plane, the line z = x^2 - x^3 touches the x-axis in how many places?
. In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 80 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?
A string of 50 light bulbs is wired in such a way that if any individual light bulb fails, the entire string fails. If for each individual light bulb the probability of failing during time period T is 0.05, what is the probability that the string of light bulbs will fail during the time period T?
You own thirteen pairs of socks, all different, and all of the socks are individually jumbled in a drawer. One morning you rummage through the drawer and continue to pull out socks until you have a matching pair. How many socks must you pull out to guarantee having a matching pair?
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?
A new savings account offers 6 percent annual interest compounded every 6 months. What would be the total balance in an account after 1 year, if the initial amount in the account were $6000?
A man in train notice that he can count 51 telephone posts in 1 minute. If they are known to be 30 meters apart,then at what speed is the train traveling?
If an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 16?