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big_math_dataset

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If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
A teacher gave the same test to three history classes: A, B, and C. The average (arithmetic mean) scores for the three classes were 65, 70, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?
4400÷22÷10=?
If X is the sum of first 100 positive even integers and Y is the sum of first 100 positive odd integers, what is the value of x-y? Please try to explain your answers
A car covers a distance of 640 km in 5 hours. Find its speed?
Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years.
A rectangular lawn of length 200m by 120m has two roads running along its center, one along the length and the other along the width. If the width of the roads is 5m what is the area Y covered by the two roads?
Pipe A can fill a tank in 32 minutes. Pipe B can fill the same tank 5 times faster than pipe A. If both the pipes are connected to the tank so that they fill the tank simultaneously, how long will it take for the empty tank to overflow?
Find the unit's digit in 264^102+264^103
In a jar there are balls in different colors: blue, red, green and yellow. The probability of drawing a blue ball is 1/4. The probability of drawing a red ball is 1/5. The probability of drawing a green ball is 1/10. If a jar cannot contain more than 50 balls, how many yellow balls are in the Jar?
The average age of three boys is 20 years and their ages are in proportion 3:5:7. What is the age in years of the eldest boy?
If x is less than y by 25% then y exceed x by:
The ratio 2 : 3 expressed as a percent equals
Twenty percent of the women in a college class are science majors, and the non-science majors make up 60% of the class. What percentage of the men are science majors if 40% of the class are men?
The average student age of a certain class which has 30 students is 10. If one student aged 11 go to another class and the age of the class teacher is included the average changes to 11. What is the age of class teacher?
At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?
Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 10% Vermouth by volume. How many ounces of Gin must he add?
Find out the C.I on Rs.7000 at 4% p.a. compound half-yearly for 1 1/2 years.
How much time will a train of length 420 m moving at a speed of 72 kmph take to cross another train of length 640 m, moving at 36 kmph in the same direction?
A car travels first 160 km at 90 km/hr and the next 160 km at 80 km/hr. What is the average speed for the first 320 km of the tour?
Employees of a certain company are each to receive a unique 10-digit identification code consisting of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 such that no digit is used more than once in any given code. In valid codes, the second digit in the code is exactly twice the first digit. How many valid codes are there?
Of the diplomats who attended a summit conference: 20 spoke French, 32 did not speak English and 20% of the diplomats spoke neither French nor English. If 10% of the diplomats spoke both French and English, then how many diplomats attended the conference?
The number of positive integer solutions for the equation x +y +z + t = 10 is
If two integers x, y (x>y) are selected from -10 to 5 (inclusive), how many possible cases are there?
Eight friends go to watch a movie but only 5 tickets were available. In how many different ways can 5 people sit and watch the movie?
A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:
sixty men can build a wall in 40 days.but they begin the work together,5 men quit after 10 day.the time needed to build the wall is
Which of the following numbers is not prime?
The sum of three from the four numbers A, B, C, D are 4024, 4087, 4524 and 4573. What is the largest of the numbers A, B, C, D?
A, B and C start a business each investing 20,000. After 5 months A withdrew 5000, B withdrew 4000 and C invests 6000 more. At the end of the year, a total profit of 69,900 was recorded. Find the share of B
If 15/x is an integer and 5/x is an integer, which of the following must be true? I. 4/x is an integer II. 18/x is an integer III. 5/x is an integer
A 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removal and replacement, what is the ratio E of milk and water in the resultant mixture?
If n is a positive integer, which of the following is a possible value of |61 - 5n|?
Can you replace the question mark with the number to complete the series, provided the pair of numbers exhibits a similar relationship? ? : 4623 :: 9 : 647
Sinha and Mitra started a business by investing Rs.52000 and Rs.55000 respectively, after three months Mitra invested Rs.5000 more in the business. What is the share of Mitra in the half year profit of Rs.26280 ?
Sam is training for the marathon. He drove 12 miles from his home to the Grey Hills Park and then ran 6 miles to Red Rock, retraced his path back for 3 miles, and then ran 3 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?
If Logx (1 / 8) = - 3 / 2, then x is equal to
If a^x = b^5y, then
a, b, c, d, and e are five consecutive numbers in increasing order of size. Deleting one of the five numbers from the set decreased the sum of the remaining numbers in the set by 20%. Which one of the following numbers W was deleted?
A started a business with Rs.21,000 and is joined afterwards by B with Rs.36,000. After how many months did B join if the profits at the end of the year are divided equally?
When 24 is divided by the positive integer n, the remainder is 4. Which of the following statements about n must be true? I. n is even II. n is a multiple of 5 III. n is a factor of 20
John makes $40 a week from his job. He earns a raise andnow makes $55 a week. What is the % increase?
The sum of number of boys and girls in a school is 100. If the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is?
Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Running at the same constant rate, 4 identical machines can produce a total of 16 bottles per minute. At this rate, how many bottles could 8 such machines produce in 3 minutes?
Which of the following must be true.? 1) The sum of N consecutive integers is always divisible by N 2) If N is even then the sum of N consecutive integers is divisible by N. 3) If N is odd then the sum of N consecutive integers is divisible by N. 4) The Product of K consecutive integers is divisible by K. 5) The produc...
John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?
Given a certain number (A), find A given that 4.5 is 15% of 20% of A?
A person travels from P to Q a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
A meeting has to be conducted with 4 managers. Find the number of ways in which the managers be selected from among 7 managers, if 2 managers will not attend the meeting together?
The sum of the numbers is 177. If the ratio between the first and the second be 5:3 and that between the second and third be 4:9, then find the second number?
What will be the vulgar fraction of 0.8
Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
This year, MBB Consulting fired 9% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to emp...
If the cost price of 50 articles is equal to the selling price of 25 articles, then the gain or loss percent is?
96% of the population of a village is 23040. The total population of the village is ?
If the positive integer x is a multiple of 1 and the positive integer y is a multiple of 7, then xy must be a multiple of which of the following? I. 7 II. 2 III. 3
If the simple interest on a certain sum of money for 5 years is one–fifth of the sum, then the rate of interest per annum is
Ayesha's father was 30 years of age when she was born while her mother was 22 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
How much time will a train of length 250 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
Beth received 2/5 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 1/2 of the votes cast?
60, 67, 63, 15, 61, 10, 15 Which of the following numbers is lower than the median but greater than the mean of the set of the numbers in the list?
A man can row 50 km upstream and 72 km downstream in 9 hours. He can also row 70 km upstream and 90 km downstream in 12 hours. Find the rate of current.
What is the smallest positive integer x such that 120-x is the cube of a positive integer?
If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
20% of the students in a class failed in an examination. Out of the students who failed, 75% were males. Male students who failed constitute 90% of the economically poor students in the class. What is the ratio of the number of economically poor students to the number of students in the class?
A 16% stock yielding 8% is quoted at?
The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 19,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263. What is the difference between the areas of Russia and China?
a and b are two bus stations 400 km apart. if two separate buses depart from both stations and travel towards each other, at what time do they meet each other given that the first bus left at 8 am and travels at a speed of 70 km/hr while the second bus left at 9 am and travels at a speed of 40 km/hr.
Solution A is 20% barium and Solution B is 80% barium. 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% barium solution?
If a coin is tossed twice, what is the probability that the coin lands on heads on both tosses?
A bag is filled with pennies and nickels in the ratio of 5 to 3. There are 30 nickles in the bag, how many coins are there in that bag?
Seven years ago the average age of a family of 2 members was 23 years. A child has been born. due to Which the average age of the family is 23 years today. What is the present age of the child?
The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.14000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is
A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating tha...
Average of 10 matches is 32, How many runs one should should score to increase his average by 4 runs.
In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
In a rectangular coordinate system, points O (2,0), P (2,6), and Q (8,0) represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments?
Whats the reminder when 879,548,521,456,258,759,653,258,778,455,658,985 is divided by 4
A car gets 28 miles to the gallon. If it is modified to use a solar panel, it will use only 80 percent as much fuel as it does now. If the fuel tank holds 15 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?
If 4 2/3 is subtracted form 10 1/2 and the difference is multiplied by 450, then what is the final answer?
What does the hexa number E78 in radix 7.
Rectangular tile each of size 70cm by 30cm must be laid horizontally on a rectangular floor of size 110cm by 130cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. N...
Which of the following is closest to 10^170 – 10^30 ?
When average age of 25 members are 0, how many members greater than 0?
The average of the marks of 11 students in a class is 36. If the marks of each student are doubled, find the new average?
David works at a science lab that conducts experiments on bacteria. The population of the bacteria multiplies at a constant rate, and his job is to notate the population of a certain group of bacteria each hour. At 1 p.m. on a certain day, he noted that the population was 2,500 and then he left the lab. He returned in ...
A car starts from X and moves towards Y. At the same time another car starts from Y and moves towards X. Both travel at a constant speed and meet after 6 hours. During that time, the faster car traveled 1/3 of the distance XY. How long would it take the slower car to travel the distance XY?
X can do a piece of work in 40 days; Y can do the same in 30 days. X started alone but left the work after 10 days, then Y worked at it for 10 days. Z finished the remaining work in 10 days. Z alone can do the whole work in?
The average marks of 30 students in a class is 60. But a student mark is wrongly noted as 90 instead of 15 then find the correct average marks?
A man is 22 years older than his son. In THREE years, his age will be THRICE the age of his son. The present age of this son is
In how many ways can the letters of a word 'ENGINEERING' be arranged such that vowels DO NOT together?
If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of charcoal ?
An art gallery owner is hanging paintings for a new show. Of the five paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
What is the area G of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?
The average weight of 8 persons is increased by 2.5 kg when one of them who weighs 56 kg is replaced by a new man. The weight of the new man is
If a farmer sells 15 of his goats, his stock of feed will last for 4 more days than planned, but if he buys 20 more goats, he will run out of feed 3 days earlier than planned. If no goats are sold or bought, the farmer will be exactly on schedule. How many goats does the farmer have?
As a bicycle salesperson, John earns a fixed salary of $10 per week plus $6 per bicycle for the first 6 bicycles he sells, $12 per bicycle for the next 6 bicycles he sells, and $18 per bicycle for every bicycle sold after first 12. This week, he earned more than twice as much as he did last week. If he sold x bicycles ...
I have an amazing bath tub having both hot and cold water taps. The cold water tap can fill my tub in 6 hours while cold water tap can fill the tub in approx 4 hours. I turned them on simultaneously but forgot to close the lid which remove water out of tub. The lid can empty the tub in exact 13 hours. Since both taps a...
The Sum of the average (arithmetic mean) of the even integers from 0 to 100 inclusive and the average (arithmetic mean) of the even integers from 0 to 50 inclusive?