Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
Community
1
question
stringlengths
3
1.14k
A club has exactly 5 new members at the end of its first week. Every subsequent week, each of the previous week's new members (and only these members) brings exactly A new members into the club. If B is the number of new members brought into the club during the twelfth week, which of the following could be B?
Rita was running on a 500 metre track at a rate of 100 metres per minute. One minute after Rita started, Liz started running from the same starting point on the track at 150 metres per minute. What is the shortest time that Liz could run on the track in order to meet up with Rita?
If 20 liters of chemical X are added to 80 liters of a mixture that is 25% chemical X and 75% chemical Y, then what percentage of the resulting mixture is chemical X?
Two trains start from A & B and travel towards each other at speed of 50kmph and 60kmph resp. At the time of the meeting the second train has traveled 100km more than the first.the distance between them.
John is going with 10 friends on a trip to Sidney for spring break. Airfare and hotel costs a total of $12100.00 for the group of 11 friends. How much does each person have to pay for their hotel and airfare?
6000 - 5000 ÷ 20.00 = ?
If x = 1 + √2, then what is the value of x4 - 4x3 + 4x2 + 3?
In an election between two candidates A and B, the number of valid votes received by A exceeds those received by B by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did B get?
If $30,000 interest is invested in x percent simple annual interest for 5 years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?
In what time a sum of money double itself at 3% per annum simple interest?
Solve the given two equations and find the inequality of X and Y. (a) X^2- 365 = 364 and (b) y- (324) ^(1/2) = (81)^(1/2)
If x/y = 3/z, then 4x^2 =
If the sum of the first n positive integers is S, what is the sum of the first n positive integers divisible by 3, in terms of S ?
An equal number of desks and bookcases are to be placed along a library wall that is 15 meters long. Each desk is 2 meters long, and each bookshelf is 1.5 meters long. If the maximum possible number of desks and bookcases are to be placed along the wall, then the space along the wall that is left over will be how many meters K long?
20 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 train passes a station platform in 36 seconds and a man standing on the platform in 21 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A, B, C are three consecutive positive integers (A>B>C). What is the value of the expression 2A +B +2C?
The average weight of 7 persons increases by 1.5 kg. If a person weighing 65 kg is replaced by a new person, what could be the weight of the new person?
A company assigns product codes consisting of all the letters in the alphabet.How many product codes are possible if the company uses at most 7 letters in its codes, and all letters can be repeated in any one code?
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 2'5" tall, which of the following is the median height of the children?
When Jessica withdrew $200 from her bank account, her account balance decreased by 2/5. If she deposits an amount equal to 1/2 of the remaining balance, what will be the final balance in her bank account?
Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds?
A store sells a certain product at a fixed price per unit. At the product's current price, A units cost a total of exactly $300. If the price were lowered by $5 from its current value, then A + 2n units would cost exactly $300; if the price were raised by $5, then A – n units would cost exactly $300. What is the value of A?
The average weight of 46 students in a class is 52 kg. 5 of them whose average weight is 48 kg leave the class and other 5 students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class ?
The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
If 72/x is an integer and 108/x is an integer, which of the following must be true? I. 9/x is an integer. II. 12/x is an integer. III. 36/x is an integer.
Which of the following equations has a solution in common with 2x^2 - 5x - 42?
Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?
There are 48 students in a class. Find the numbers of ways in which a committee of 2 students is to be formed?
A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?
In a certain state, gasoline stations compute the price per gallon p, in dollars, charged at the pump by adding a 3 percent sales tax to the dealer's price per gallon d, in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon d in terms of the price per gallon p charged at the pump?
How many squares are there between 2011 to 2300 ????
A man sold 10 eggs for 5 rupees and gained 20%. How many eggs did he buy for 5 rupees?
(√27+√243)/√75=?
Two sets of 4 consecutive positive even 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?
In order to fulfill a local school’s request for a cakes, B parents agreed to each bake an equal number of cakes. If p of the parents did not bake any cakes, which of the following represents the additional number of cakes that each of the other parents had to bake in order for the school’s request for a cakes to be fulfilled?
How many 1/2s are there in 37 1/2?
Find the odd one out: 125, 106, 86, 76, 65, 58, 53
FIND THE ODD NUMBER: 1,5,11,17,23,29
How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
The sum of all the integers k such that –25 < k < 24 is
Crazy Eddie has a key chain factory. Eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 50% of the selling price to 50% of the selling price. If the manufacturing cost is now $50, what was it before the decrease?
In the biology lab of "Jefferson" High School there are 0.036*10^5 germs, equally divided among 45000*10^(-3) Petri dishes. How many germs live happily in a single dish?
A shepherd has 1 million sheep at the beginning of Year 2010. The numbers grow by xx during the yr. A famine hits his village in the next year & many of his sheep die. The sheep population decreases by yy during 2001 and at the beginning of 2011 the shepherd finds that he is left with 1 million sheep. Which of the following is correct?
If x is an integer, which of the following is a possible value of W=(x^2 +2x – 7)/9?
if Juan takes 14 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
A cylinder is sliced by a plane to form the solid shown. The base edge of the solid is a circle of radius 3. The top edge is an ellipse. The highest point on the ellipse is 6 units above the base. The lowest point on the ellipse is 2 units above the base. What is the volume, in cubic units, of the solid?
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 20000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is
A small company is planning to rent either computer A or computer B to print customer mailing lists. Both computer A and computer B must be rented on an hourly basis. The rental fee is based only on the amount of time the computer is turned on. It will cost 40 percent more per hour to rent computer A than to rent computer B. Computer B would, however, require 20 hours more than computer A to do the job. If either computer A, or computer B were rented the total cost to rent the computer would be $650.00. What would be the approximate hourly charge to rent computer B?
Mr. Gangadhar, Mr. Ramesh and Mr. Shridhar together earned 19800. The ratio of earnings between Mr. Gangadhar and Mr. Ramesh is 2 : 1 while that between Mr.Ramesh and Mr. Shridhar is 3 : 2. How much did Mr. Ramesh earn?
A tea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the cup of tea. In order to check this claims 12 cups of tea are prepared, 6 in one way and 6 in other. Find the different possible ways of presenting these 12 cups to the expert.
when W is divided by 13, the reminder is 0. if W is one more than it value and when divided by 10 its remainder is 0. what is the value of W ?
A dishonest dealer claims to sell a product at its cost price. He uses a counterfeit weight which is 20% less than the real weight. Further greed overtook him and he added 40% impurities to the product. Find the net profit percentage of the dealer?
If A exceeds B by 40%, B is less than C by20%, then A : C is :
How many 4-digit Z numbers (ABCD) can be formed such that |A – D| = 2?
If f(x) =4* (x^4 - 1)/(x^2), what is f(1/x) in terms of f(x)?
A cheetah can at 65 mph but only for a maximum of 6 minutes before it exhausts itself. How many miles can the cheetah run before tiring out? Round to the nearest hundredths place.
A man took a loan from a bank at the rate of 8% p.a. simple interest.After 3 years he had to pay Rs. 5400 interest only for the period.The principal amount borrowed by him was :
Six bells commence tolling together and toll at intervals of 1,2,3,4,5,6 seconds respectively. In 30 minutes, how many times do they toll together?
The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is: A. B. C. D. Answer: Option D Explanation:
How many positive integers less than 26 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4?
If the Average of 10 consecutive integers is 23.5 then the 10th integer is :-
3,9,12,15,18,__
How many 4's are there preceded by 7 but not followed by 3? 5 9 3 2 1 7 4 2 6 9 7 4 6 1 3 2 8 7 4 1 3 8 3 2 5 6 7 4 3 9 5 8 2 0 1 8 7 4 6 3
Alex has 4 pens worth of {22, 25, 30, 40}, what is the total mean and median of the worth of pens ?
oy started cycling along the boundaries of a square field from corner point A. After half an hour he reached the corner point C, diagonally opposite to A. If his speed was 8km/hr, the area of the filed in square km is?
Two pots are in side-by-side. One pot, which is 20 inches tall, casts a shadow that is 10 inches long. The other pot is 40 inches tall. Compute, in inches, the length of the shadow that the taller pot casts.
Water boils at 212°F or 100°C and ice melts at 32°F or 0°C . If the temperature of a pot of water is 45°C, what is the temperature of the pot of water in °F?
Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ?
A man saves 25% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 10%, he is only able to save Rs. 175 per month. What is his monthly salary?
All the milk in container A which was filled to its brim was poured into two containers B and C. The quantity of milk in container B was 62.5% less than the capacity of container A. If 158 liters was now transferred from C to B, then both the containers would have equal quantities of milk. What was the initial quantity of milk in container A?
In the formula Y = 1/(2x+2)^3, if x is halved, then Y is multiplied by
Find the no.of ways of arranging the boy and 7 guests at a circular table so that the boy always sits in a particular seat?
If W is a positive integer, and W/15 = 8.2, what is the remainder when W is divided by 15?
How many positive integers less than 50 are multiples of 3 but NOT multiples of 5?
Find the surface area of a 10 cm x 4 cm x 2 cm brick.
In how many ways can a committee consisting of 4 men and 5 women be formed from a group of 7 men and 9 women?
A series of boxes are placed on a conveyor belt at one end and unloaded at the other. The boxes are each 0.5 meters on each side and are placed immediately adjacent to one another as they are loaded. If the conveyor belt is 30 meters long and moves the boxes at a speed of 0.25 m/s, how long does it take for 100 boxes to be loaded and unloaded?
The average earning of a mechanic for the first-four days of a week is Rs. 18 and for the last four days is Rs. 22. If he earns Rs . 6 on the fourth day, his average earning for the whole week is ?
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.7 years. The ration of the number of boys to the number of girls in the class is?
In a certain egg-processing plant, every egg must be inspected, and is either accepted for processing or rejected. For every 96 eggs accepted for processing, 4 eggs are rejected. If, on a particular day, 12 additional eggs were accepted, but the overall number of eggs inspected remained the same, the ratio of those accepted to those rejected would be 99 to 1. How many E eggs does the plant process per day?
A man purchases 2 mobiles for $ 1400. He sells one at 20% profit and the other at a loss of 15%. He neither gains nor loses on the whole. Thus, the cost price of two watches are :
What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
A goods train runs at the speed of 72 km/hr and crosses a 300 m long platform in 26 sec. What is the length of the goods train?
An athlete takes 10 seconds to run 100m. What is his avg. speed in miles per hour?
There are 7 dozen mangoes in a box. If there are 29 such boxes, how many mangoes are there in all the boxes together?
If (5^13)(9^7)=3(15^x), what is the value of x?
If Q is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of Q?
.05% of cans of beans that go down a conveyor belt are sealed improperly and must be disposed of. How many cans of beans must pass down a conveyor belt for 5 cans to be sealed improperly?
a light flashes every 15 seconds, how many times will it flash in ? of an hour?
Solve for x and check: 6x = 54
which is odd one 3, 5, 7, 12, 17, 19
If the complement of a certain angle is seven times the measure of that certain angle, then what is the measure of that certain angle?
How much time will it take for an amount of 500 to yield 100 as interest at 5% per annum of simple interest?
find the average of first 40 natural numbers?
Each light bulb at a hotel is either incandescent or fluorescent. At a certain moment, thirty percent of the incandescent bulbs are switched on, and eighty percent of the fluorescent bulbs are switched on. If 70 percent of all the bulbs are switched on at this moment, what percent of the bulbs that are switched on are incandescent?
Which of the following is not a multiple of 3!+4?
A tradesman by means of his false balance defrauds to the extent of 22%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Two trains are running in opposite directions with the same speed. If the length of each train is 225 m and they cross each other in 18 sec, then the speed of each train is?
Divide $1000 among A,B in the ratio 1:3. How many $ that A get?