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big_math_dataset

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On dividing a certain number by 234, we get 43 as remainder. If the same number is divided by 13, what will be the remainder?
The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 50 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is?
The perimeters of two squares are 80 cm and 64 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.
The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day, 9 men can complete a work in 6 days then in how many days can 12 men, 12 women and 12 boys together finish the same work by working 8 hours per day?
What is the dividend? Divisor is 9, the quotient is 49, and the remainder is 52.
A, B and C started a business with investment of Rs. 8000. Rs. 20000 and Rs. 32000. What is the share of B in the total profit of Rs. 5400 at the end of 1 year?
Integer m has 4 different prime factors and n has 3 different prime factors. If m and n has the greatest common factor of 15, how many different prime factors does mn have?
A, Band C can do a piece of work in 11 days, 5 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by Band C on alternate days?
Which one of the given numbers is divisible by 11?
Cn = 2Cn-1 + 4 and Qn = 4Qn-1 + 8 for all n > 1. If C5 = Q4 and C7 = 316, what is the first value of n for which Qn is an integer?
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
RAJA complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Find avrg speed if a man travels at speed of 18km/hr up and 24km/hr dawn at an altitude of 300m.
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
If the sides of a triangle are given as 5*x, 5*(x+1), 5*(x+2), then what could be the possible value of the product of their sides.
Convert 350 inches into centimeter?
A certain box has 13 cards and each card has one of the integers from 1 to 13 inclusive. Each card has a different number. If 2 different cards are selected at random, what is the probability that the sum of the numbers written on the 2 cards is less than the average (arithmetic mean) of all the numbers written on the ...
If a clock takes 7seconds to strike 7, how long will the same clock take to strike 10?
If one cat eats 1.5 rats in 1.5 days, then in howmany days 3 cats will eat 3 rats??
A set of data consists of the following 4 numbers: 0, 2, 4, 6, and 8. Which two numbers, if added to create a set of 7 numbers, will result in a new standard deviation that is close to the standard deviation for the original 5 numbers?
A contractor undertakes to built a walls in 50 days. He employs 20 peoples for the same. However after 25 days he finds that only 40% of the work is complete. How many more man need to be employed to complete the work in time?
Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?
Peter wants to get $200,000 for his house. An agent charges 20% of the selling price for selling the house for Peter.What will be the agent's commission?
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
A certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 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 3 candidates...
If p and q are positive integers and q ≠ 1, then pq(q −2) is
As a treat for her two children, a mother runs to the freezer in which she has three cherry ice pops, three orange ice pops, and five lemon ice pops. She chooses two at random to bring outside to the children, but realizes as she runs out the door that she cannot bring them different flavors without one being jealous o...
If a point (x,y) is randomly selected within the square shown in the figure above, (the vertices are on 1,1 1,-1, -1,1 -1,-1) what are the W odds that x^2+y^2>1?
It takes 60 identical printing machines 2 hours to print 200,000 cards. How long would it take 50 of these machines to print the same total?
A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?
A participated in cycling contest and he drove the lap at the rate of 6kmph, 12kmph, 18kmph, 24kmph..What is his average speed?
There are some sweets in party, 1/3rd eaten by kids . Then 2/5th of the remaining by men , then 2/3rd of the remaining by women . At last 2 were remaining . How many sweets were in total ?
11 friends went to a hotel and decided to pay the bill amount equally. But 10 of them could pay Rs. 60 each as a result 11th has to pay Rs. 50 extra than his share. Find the amount paid by him.
The average of 1st 3 of 4 numbers is 6 and of the last 3 are 5. If the sum of the first and the last number is 17. What is the last numbers?
complete the numerical series with the correct number 6+3+2=181227 7+2+4=142840 8+6+3=482466 9+4+5=364567 6+5+5= ?
a television have side 6*5.its screen size is 5*4.calculate the percentage of unscreened part t.v.
28 machines can do a work in 10days. How many machines are needed to complete the work in 40days?
Solve the equation : (2x - 1)3 + 2x(2x - 3).(3 - 2x) – (3x - 1)2 = 3x2 - 2
A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
In a 2000 m race, A beats B by 100 meters or 20 seconds. Find the speed of B?
A is twice as good as B. And together they finish a piece of work in 20days. In how many days will A alone finish the work
Will decides to attend a basketball game with four friends. If the party of five sits together in five consecutive seats, and Will must NOT sit in between two of his friends, how many ways can the five friends be arranged?
In how many ways can the letters of the word SUBMITTED be arranged?
s(n) is a n-digit number formed by attaching the first n perfect squares, in order, into one integer. For example, s(1) = 1, s(2) = 14, s(3) = 149, s(4) = 14916, s(5) = 1491625, etc. How many digits are in s(99)?
In the sequence 1, 2, 4, 8, 16, 32, …, each term after the first is twice the previous term. What is the sum of the 15th, 17th, and 18th terms in the sequence?
The speed of a boat in still water in 42 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 44 minutes is:
If (-3)^(2x) = 3^(12 - x) and x is an integer, what is the value of x ?
In an election between two candidates first candidate got 70% of votes polled and second Candidate got 270 votes. The total number of votes polled was?
In a business, A and C invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by A and B was 3 : 2 . If Rs 157300 was their profit, how much amount did B receive?
Right triangle ABC is to be drawn in the xy-plane so that the right angle is at A and AB is parallel to the y-axis. If the x- and y-coordinates of A, B, and C are to be integers that are consistent with the inequalities -7 ≤ x ≤ 1 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these condi...
How many pairs (n, n+1) have one or more prime factors common, where n is an integer and 2 ≤ n ≤9 ?
If (x+3)^2/(3x+5)=2, then the difference between the two possible values of x is:
If cost of 18 eggs be 75 rupees, then find out the cost of 5 dozen eggs.
The sum of two numbers is 64, and one of them is 12 more than the other. What are the two numbers?
The average of 6 numbers is 6.8. If one of the numbers is multiplied by a factor of 3, the average of the numbers increases to 9.2. What number is multiplied by 3?
In a rectangular coordinate system, if a line passes through the points (-13,-18), (17,22) and (x,2) then what is the value of x?
If the volume of two cubes are in the ratio 27:1, the ratio of their edges is:
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
If ab + c = a(b + c), which of the following must be true?
A jeep takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
A man can row with a speed of 15 kmph in still water. If the stream flows at 15 kmph, then the speed in downstream is?
X can do a piece of work in 40days. He works at it for 8 days and then Y finished it in 24 days. How long will Y take to complete the work?
On the number line, if x is halfway between -4 and 4, and if y is halfway between -2 and 6, what number is halfway between x and y?
Mary's income is 60 percent more than Tim's income, and Tim's income is 50 percent less than Juan's income. What percent of Juan's income is Mary's income?
A software programmer does 20% of the work in 80% of the time, and 80% of the work in the remaining 30% of the time. If the code he writes is X lines long and he was given one month (30 days) to accomplish the task, then, assuming that the programmer works at a constant rate in each of the two stages, How many lines of...
How many cubes of 50 cm edge can be put in a cubical box of 1 m edge.
A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 800 grams. Find the profit percent.
Four-ninths of a drink mix is dye and the rest is sugar. When the mix is added to water a gallon of drink is made that is 5% sugar. What percentage of the gallon is dye?
If W is the set of all the integers between 19 and 99, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then W contains how many numbers?
3.5 can be expressed in terms of percentage as?
The average of 11 results is 45, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
The water from one outlet, flowing at a constant rate, can fill a swimming pool in 7 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 4 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool?
The total number of digits used in numbering the pages of a book having 369 pages is
A committee of two people is to be chosen from three married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
There ia truck which should reach some place at 11'o clock , if it travels with 30 mph it reaches i hour before, if it travles with 20 mph it reaches 1 hour late. what is the distance it must be travlled and what is the speed it must maintain to rech at exact time?
If a, b, and c are consecutive integers such that a < b < c and a is an even prime number, which of the following is true? I. a × b × c < a^3 II. 5b > 5c III.a + b + c > a^3
Mohit sold an article for $27000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 42, the dividend is?
If a positive integer n is divisible by both 2 and 3, then n must also be divisible by which of the following? I. 6 II. 5 III. 18
Three partners A,B,C starts a business. Twice A's capital is equal to thrice B's capital and B's capital is four times C's capital. Out of a total profit of Rs.16,500 at the end of the year, B's share is
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
If m : n = 3 : 4 and n : o = 8 : 9, then m : o is :
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 2'6" tall, which of the following is the median height of the children?
If you are given $2, and the amount doubles every day, how much money will you have after 10 days?
The sum of number of boys and girls in a school is 900. 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?
Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 49 hours and 16 hours respectively. The ratio of their speeds is
If an article with marked price of $4000 is sold at successive discount of 10%,25% and 15%,what is the price the customer has to pay?
If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 682, C will receive
In a company, 58% of all its employees earn lesser than $50,000; 66% earn more than $40,000; 17% earn $45,000; 3% earn $48,000. What is the median salary
There are 6 working days in a regular week and for each day, the working hours are 10. A man earns Rs. 2.10 per hour for regular work and Rs. 4.20 per hour for overtime. If he earns Rs.525 in 4 weeks, how many hours did he work?
Two brothers took the GMAT exam, the higher score is A and the lower one is B. If the difference between the two scores is equal to their average, what is the value of B/A ?
There are three categories of jobs A, B and C. The average salary of the student who got the job of A and B categories is 26 lakh per annum. The average salary of the students who got the job of B and C category is 44 lakh per annum and the average salary of those students who got the job of A and C categories is 34 la...
The perimeter of one square is 48 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
Two numbers are respectively 19% and 40% more than a third number. The percentage that is first of the second is?
The average (arithmetic mean) of 10, 30, and 50 is 8 more than the average of 20, 40, and x. What is x?
A sum of Rs.1400 is divided into 13 students so that each boy gets Rs.120 while each girl gets Rs.100. Find the number of boys and number of girls
What approximate value will come in place of the question mark (?) in the following equation? √625.04×16.96+136.001÷17=?
Seats for Maths, Physics and Biology are in the ratio of 8 : 7 : 8 respectively. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the respective ratio of increased seats?
A boat can move upstream at 25 kmph and downstream at 37 kmph, then the speed of the current is?