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big_math_dataset

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The mean proportional between 4 and 9 is?
How many different committees can be formed from a group of four women and eight men if three people are on the committee and at least one member must be a man?
The square root of 636 is between which set of integers?
A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?
What is the place value of 7 in the numeral 57468?
Which of the following is closer to (7!+5!)-(7!-5!)?
For what k value(s) is the following equation satisfied: 2k-9-k = 4k+6-3k
x+(1/x) = 2.5 find x^2 + (1/x^2)
A worker is to perform work for you for seven straight days. In return for his work, you will pay him 1/7th of a bar of gold per day. The worker requires a daily payment of 1/7th of the bar of gold. What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day?
How many kg of pure salt must be added to 100kg of 10% solution of salt and water to increase it to a 20% solution?
On a trip covering 350 km, a bicyclist travels the first 200 km at 20 km per hour and the remainder of the distance at 15 km per hour. What is the average speed, in km per hour, for the entire trip?
There were two candidates in an election. Winner candidate received 62% of votes and won the election by 360 votes. Find the number of votes casted to the winning candidate?
A researcher computed the mean, the median, and the standard deviation W for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change?
If 9 ministers are to be seated at a round table conference, then how many different ways can they be seated?
If the productivity of a brigade grows by 12% when the number of the workers in the brigade is increased by one, then which of the following is closest to the ratio of the productivity of a 12-person brigade to that of a 10-person brigade?
The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
A mixture containing 6% boric acid is to be mixed with 2 quarts of a mixture which is 15% acid in order to obtain a solution which is 12% acid. How much of the 6% solution must be used?
In a basket of apples, 12% of them are rotten and 66 are in good condition. Find the total number of apples in the basket.
A train speeds past a pole in 15 seconds and a platform 140 meters long in 25 seconds. What is the length of the train (in meters)?
On a ranch, a rancher can place a loop of rope, called a lasso, once in every 2 throws around a cow’s neck. What is the probability that the rancher will be able to place a lasso around a cow’s neck at least once in 4 attempts?
(525 + 275) × 4 × (3 + 2) = ?
A luxury liner, Queen Marry II, is transporting several cats as well as the crew (sailors, a cook, and one-legged captain) to a nearby port. Altogether, these passengers have 15 heads and 43 legs. How many cats does the ship host?
How long will a boy take to run round a square field of side 40 meters, if he runs at the rate of 9km/hr?
A triangle has a perimeter 17. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?
For each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to charity. In December, the worker earned N times his usual monthly salary and donated one-third of his earnings to charity. If the worker's charitable contributions totaled one-eighth of his ea...
The average of first nine prime numbers is?
If an integer t is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that t(t + 1)(t + 2) will be divisible by 8?
If integers w and b are distinct factors of 30, which of the following CANNOT be a factor of 30? I. wb + b^2 II. (w+ b)^2 III. w + b
Find the invalid no.from the following series 3, 6, 15, 31, 63, 127, 255
A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 3 of 10 candidates eligible to fill 3 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 4 candidates...
Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?
. A boy has five trousers and 11 shirts. In how many different ways can he select a trouser and a shirt?
Jim is able to sell a hand-carved statue for $540 which was a 35% profit over his cost. How much did the statue originally cost him?
What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
In a car wheel, ten spokes cover 60 degrees. Then for the entire car,how many spokes are there?
If y = x^2 + cx + d, y is minimum when x is:
If two sides of a triangle are 12 and 4, which of the following could be the area of triangle? 1. 35 2. 48 3. 56
How many bricks each measuring 22cm x 10.25cm x 8cm, will be needed to build a wall 9m x 7m x 10.5m
An association of mathematics teachers has 1,500 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 36 percent of the votes cast?
Today is Sunday. After 36 days, what day of the week will it be?
The LCM and HCF of two numbers are 60 and 2 respectively. Find the larger of the two numbers if their sum is 22.
In Cliff’s impressive rock collection, there are half as many igneous rocks as sedimentary rocks. Of the igneous rocks, 4/5 are shiny and the rest are matte, while 1/5 of the sedimentary rocks are shiny. If there are 40 shiny igneous rocks, how many total rocks does Cliff have?
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 10:6:5. If there are in all Rs.92, the number of 25 paisa coins is?
The probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.45. If the probability that either event A or event B occurs is 0.6, what is the probability that event B will occur?
1. Mrs. Ram got a weekly raise of $145. If he gets paid every other week, write an integer describing how the raise will affect her paycheck.
Rs.900 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
If x > y, x < 6, and y > -3, what is the largest prime number that could be equal to x + y?
In a certain game there are 8 steps, referred to as step 1, step 2, and so on with the final step being step 8. The steps are played one after the other. In each step a score of 1, 2, 3, or 4 is obtained. Angel played the game, getting at least one score of each of 1, 2, 3, and 4, and never getting the same score in co...
The length of the room is 5.5m and width is 3.75m. Find the cost of paving the floor by slabs at the rate of Rs.800 per sq meter
Look at this series: 83, 73, 93, 63, __, 93, 43, ... What number should fill the blank?
81,162,49,98,25,50,62
The present ages of three persons are in the proportion of 4 : 7 : 9. Eight years ago, the sum of their ages was 116. Find their present ages.
Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team X, but each box of Team A’s has 60% fewer booklets than each box of Team X’s. Which of the following could be the total number of booklets distributed by the two groups?
The mean of set P does not exceed mean of any subset of set P. Which of the following must be true about set P? I. Set P contains only one element II. All elements in set P are equal III. The median of set P equals the mean of set P
If the sides of a cube are in the ratio 9:7. What is the ratio of their diagonals?
If you roll a fair-sided die twice, what is the probability of getting a (2 ,2)?
What is the difference between the largest number and the least number written with the digits 7, 3, 1, 4?
The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades. In a game of blackjack, if your first card is a spade, what are the odds that it is a 9?
Each shelf of a bookcase contains 20 books. If the librarian took out 42 books and rearranged the remaining books so that all shelves but the last one contained 16 books and the last shelf contained 22 books, how many shelves does the bookcase have?
A sum fetched a total simple interest of $4061.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
A fair 2 sided coin is flipped 3 times. What is the probability that tails will be the result at least twice, but not more than 3 times?
A library has an average of 510 visitors on Sundays and 240 on other day. The average number of visitors in a month of 30 days starting with sunday is
Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Renee have an equal chance of choosing any one of the hand signs, what is the probability ...
If 2 cards are selected (with replacement) at random from the deck of 52 cards then what is the probability that one of the selected cards will be a heart and the other will be a club? A deck of cards has a total of 52 cards, consisting of 4 suits: spades (black), hearts(red), diamonds (red), and clubs (black). In each...
A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?
A policeman noticed a criminal from a distance of 180 km. The criminal starts running and the policeman chases him. The criminal and the policeman run at the rate of 8 km and 9 km per hour respectively. What is the distance between them after 3 minutes ?
What percent of 500 is 125?
Tough and Tricky questions: Word Problems. Micheal , Saren and Donald decided to club together to buy a present. Each of them gave equal amount of money. Luckily Saren negotiated a 20% discount for the present so that each of them paid 4 dollars less. How much did they pay for a present?
The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 80% profit?
How many meters are there in 550 centimeters?
The length of a rectangle is 5 more than the width. What are the dimensions of the rectangle if the perimeter is 34?
Average families of 4 pay $3000 for their health insurance deductibles annually. There will be a 2/3 increase in the deductibles for next year. How much more will the average family pay in deductibles next year?
Scott's average (arithmetic mean) golf score on his first four rounds was 78.What score does he need on his fifth round to drop his average score by 2 points?
Two vertical poles 2 meter and 8 meter high stand apart on a horizontal plane. find the height in meters of the point of intersection of the lines joining the top of each pole to the bottom of the other pole.
Find the odd man out 25, 49, 81, 121, 144, 169
You have a battery that is charged during the day by a solar panel. At night, 3 Iphones use that battery and deplete the charge after 4.8 hours. Your family shows up and they have brought 9 of their own Iphones. How many hours before the charge on the battery is depleted now?
A part of certain sum of money is invested at 16% per annum and the rest at 20% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
If 16^y = 4^16, what is y?
Two trains of equal are running on parallel lines in the same direction at 48 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
To produce an annual income of Rs. 1200 from a 12 % stock at 90,the amount of stock needed is :
On a windy day, out of every 3 sand dunes formed, only 1 remains. Out of 5 blown-out sand-dunes, 1 has treasure and only 2 out of 3 sand dunes formed have lucky coupons. Find the probability that the blown-out sand dune will contain both the things.
The average age of a family of 6 members is 34 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?
The banker's discount on Rs.1450 due a certain time hence is Rs.145. Find the true discount and the banker's gain.
A certain theater has 100 balcony seats. For every $2 increase in the price of a balcony seat above $10, 5 fewer seats will be sold. If all the balcony seats are sold when the price of each seat is $10, which of the following could be the price of a balcony seat if the revenue from the sale of balcony seats is $1,460 ?
A person took some amount with some interest for 2 years, but increase the interest for 1%, he paid Rs.130/- extra, then how much amount he took?
If two times of the daughter’s age in years is included to the mother’s age, the total is 70 and if two times of the mother’s age is included to the daughter’s age, the total is 95. So the Mother’s age is,
A boutique sold 500 dress shirts at $25 each, 600 belts at $10 each, 700 pants at $50 each and 1000 shoes at $200. What % of the stores revenue came from dress shirts and pants?
How long does a train 110 meters long running at the speed of 72 km/hour take to cross a bridge 132 meters in length ?
25% of a number is more than 20% of 650 by 190. Find the number?
How many different section of 4 books can be made from 10 different books if two particular books are never selected?
A man whose bowling average is 12.4, takes 5 wickets for 26 runs and there by decreases his average by 0.4. The number of wickets taken by him before his last match is?
If the cost price of 30 articles is equal to the selling price of 45 articles, what is the % profit or loss made by the merchant?
The 4 sticks in a complete bag of Pick-Up Sticks are all straight-line segments of negligible width, but each has a different length: 1 inch, 2 inches, 3 inches, and 4 inches, respectively. If Tommy picks a stick at random from each of 3 different complete bags of Pick-Up Sticks, what is the probability D that Tommy CA...
A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 30 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?
What is the total cost of 2 sandwiches at $2.44 each and 4 sodas at $0.87 each?
A class average mark in an exam is 70. The average of students who scored below 60 is 50. The average of students who scored 60 or more is 75. If the total number of students in this class is 20, how many students scored below 60?
A student committee on academic integrity has 132 ways to select a president and vice president from a group of candidates. The same person cannot be both president and vice president. How many candidates are there?
The average of ten numbers is 8. If each number is multiplied by 12, then what is the average of the new set of numbers?
18 business executives and 7 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place?
A and B can finish a work 30 days if they work together. They worked together for 20 days and then B left. A finished the remaining work in another 20 days. In how many days A alone can finish the work?