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big_math_dataset

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Which of the following functions does not intersect with T = 3x^2 + 2x + 1
If x and y are different integers, both divisible by 6, then which is not necessarily true?
40% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?
A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
The average of numbers 0.64206, 0.64207, 0.64208 and 0.64209 is ?
Pid intended to type a seven-digit number, but the two 3's he meant to type did not appear. What appeared instead was the five-digit number 52115. How many different seven-digit numbers could Pid have meant to type?
In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ?
0.04 x 0.0162 is equal to:
The speed of a boat in still water is 80kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
At a certain supplier, a machine of type A costs $30,000 and a machine of type B costs $70,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?
What is the total number of integers between 20 and 70 that are divisible by 2?
The second of two numbers is two less than three times the first. Find the numbers if there sum is 82.
A room 4 m 47 cm long and 7m 77 cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor.
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
A certain number of donkeys and an equal number of men are going to a village. Half of the men are on their donkey's back while the remaining are walking along leading their donkeys. If the number of legs walking on the ground is 70. How many donkeys are there?
Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?
A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x − 7)%. In terms of x, how many species of bacteria will the group be able to model?
In each of the following questions a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the blank spaces. 2, 7, ?, 23, 34, 47
Mid intended to type a seven-digit number, but the two 3's he meant to type did not appear. What appeared instead was the five-digit number 52115. How many different seven-digit numbers could Mid have meant to type?
The workforce of Company Samsung is 60% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 50%.How many employees did the company have after hiring the additional male workers?
A computer was sold at a loss of 20%. If it was sold for Rs.3200 more, there would have been a gain of 12%. What is the cost price?
Sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Find the sum?
Given two fair dice, what is the probability W that the sum of their numbers is 4 if exactly one die shows a 3?
If a is a positive integer, which of the following could NOT be the square of a?
If a tire rotates at 400 revolutions per minute when the car is traveling 96km/h, what is the circumference of the tire?
An design manager has 10patterns of chairs & 7patterns of tables. In how many ways can he make a pair of table & chair?
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Two brothers were expected to return here on the same day. Rajat returned 3 days earlier but Rohit returned 4 days later. If Rajat returned on Tuesday, what was the expected day when both the brothers were to return home and when did Rohit Return?
The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 36 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?
How many seconds will a 700 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
Suppose five circles, each 4 inches in diameter, are cut from a rectangular strip of paper 12 inches long. If the least amount of paper is to be wasted, what is the width of the paper strip? a=sqrt(3)
In how many ways the letters of the word RAIMBON be arranged?
A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.165. Find the unknown rate of two towels?
Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 80 ps per meter is?
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 13 units?
The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
The ages of Charlie and Vaibhav are in the proportion of 3 : 5. After 9 years, the proportion of their ages will be 3 : 4. Then the current age of Vaibhav is:
A tank is 25 m long, 12 m wide and 6 m deep. What is the cost of plastering its walls and bottom at the rate of 75 paise per sq.m?
Look at this series: 14, 28, 20, 40, 32, 64, ... What number should come next?
If a is a digit in the number (a5,608 + 584)/88 = an integer, what is the value of a?
Determine the equation for the line parallel to r ≡ x + 2y − 2= 0 that passes through the point A = (1, 3).
In the sequence S, each term after the first is twice the previous term. If the first term of sequence S is 3, what is the sum of the 14th term in sequence S?
David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross ?
Q-2: How many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 3?
If 15 men can build a wall of forty two metres long in 5 days, what length of a similar wall can be built by 25 men in 4 days
A company makes a profit equal to 25% of its sales. The profit is shared equally among the 4 owners of the company. If the company generates sales of $5,000,000, how much money does each one of the owners get?
A jar contains only red, yellow, and orange marbles. If there are 3 red, 6 yellow, and 4 orange marbles, and 3 marbles are chosen from the jar at random without replacing any of them, what is the probability that 2 yellow, 1 red, and no orange marbles will be chosen?
Bag contain 10 back and 20 white balls, One ball is drawn at random. What is the probability that ball is white
f n = 3^8 - 2^8, which of the following is not a factor of n?
If k^3 is divisible by 60, what is the least possible value of integer k?
Denominator of a number is 4 less than the numerator. If 6 is added to the numerator, it becomes 3 times the denominator. Find the denominator.
If 0.2 of a number is equal to 0.08 of another number, the ratio of the numbers is :
A cloth merchant has announced 25% rebate in prices. If one needs to have a rebate of Rs.40, then how many shirts, cash costing Rs.32, he should purchase ?
A ranch has both horses and ponies. Exactly 5/6 of the ponies have horseshoes, and exactly 2/3 of the ponies with horseshoes are from Iceland. If there are 4 more horses than ponies, what is the minimum possible combined number of horses and ponies on the ranch?
Henry sold an item for Rs.7200/- and incurred a loss of 20%. At what price should he have sold the item to have gained a profit of 20%?
Walking across campus, a student interviewed a group of students. 20% of the students took a finance class last semester, 45% took a marketing class last semester, and 45% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
Harkamal purchased 8kg of grapes at the rate of 75 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
If y = 30p, and p is prime, what is the greatest common factor of y and 10p, in terms of p?
Everyone shakes hands with everyone else in a room. Total number of handshakes is 120. Number of persons=?
10% people of a village in Sri Lanka died by bombardment, 20% of the remainder left the village on account of fear. If now the population is reduced to 3168, how much was it in the beginning?
A dealer originally bought 90 identical batteries at a total cost of q dollars. If each battery was sold at 50 percent above the original cost per battery, then, in terms of q, for how many dollars was each battery sold?
The first term in a sequence is 1 and the second term is 10. From the third term on each term is the average (arithmetic mean) of all preceding terms. What is the 29th term in the sequence?
Billy makes $124 more than Kimberly in a week. Wynona makes 3 times as much as Billy and Kimberly put together in a week, which totals $2,436. How much would Billy, Kimberly, and Wynona make together in a month?
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?
If a number between 10 and 60 (inclusive) at random. What is the probability that the tens digit is greater than ones digit?
The average age of A and B is 50 years. If C were to replace A, the average would be 50 and if C were to replace B, the average would be 40. What are the age of A, B and C?
If 50 apprentices can finish a job in 4 hours, and 30 journeymen can finish the same job in 7 hours, how much of the job should be completed by 10 apprentices and 15 journeymen in one hour?
If x^4 > x^5 > x^3, which of the following could be the value of x?
A die is thrown three times. Events X and Y are defined as below: X : 4 on the third throw Y : 6 on the first and 5 on the second throw What is the probability of X given that Y has already occurred.
What is the sum of all the numbers between 1 and 16, inclusive?
If the median of a list of numbers is m, the first quartile of the list is the median of the numbers in the list that are less than m. What is the first quartile of the list of numbers 42, 24, 30, 34, 26, 36, 33 and 35 ?
If Re.250 amounts to Rs.400 over a period of 5 years. What is the rate of simple interest?
For the given equation x9+5x8−x3+7x+2=0,x9+5x8−x3+7x+2=0, how many maximum real roots are possible?
The diagonals of two squares are in the ratio of 2 : 5. Find the ratio of their areas.
In how many ways R can the crew of a ten oared boat be arranged ,when of the ten persons available, 2 of whom can row only on the bow side and 3 of whom can row only on the stroke side?
Envelopes can be purchased for $1.50 per pack of 100, $1.00 per pack of 50, or $0.03 each. What is the greatest number of envelopes that can be purchased for $8.40?
A wholesaler wishes to sell 100 pounds of mixed nuts at $1.50 a pound. She mixes peanuts worth $1.50 a pound with cashews worth $4.00 a pound. How many pounds of cashews must she use?
A can finish a piece of work in 4 days. B can do it in 8 days. They work together for two days and then A goes away. In how many days will B finish the work?
If each term in the sum a1+a2+a3+...+an either 2 or 22 and the sum equals 100, which of the following could be equal to n?
Two trains start from the same station at the same time and travel in opposite directions. One train travels at an average rate of 40 mph, the other at 65 mph. In how many hours will they be 315 miles apart?
At a party, there were five times as many females as males and six times as many adults as children. Which of the following could be the number of people at the party?
The average of first ten prime numbers:
One out of every 500 light bulbs are defected. If 2 out of every 10 defected light bulbs have a broken glass and there are 12 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment?
The local carpenter made a beautiful table for my father. He told him that the type of wood which he used costs G dollars per kg, and that the table only weight F kilograms. If the carpenter worked for D hours on the table and makes E dollars per hour, how much profit will my father make when he sells the table for V dollars?
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is?
In a rectangular axis system, what is the area of a parallelogram with the coordinates: (4,4), (7,4), (5,9), (8,9) ?
For a certain set, the value range of its members is 84.4. A new set is created from the members of the old set as follows: 12 is subtracted from a member of the old set, and the result is divided by 4. The resulting value is a member of the new set. If this operation is done for each member of the old set, what is the range of values of the members of the new set?
A discount of 10 percent on an order of goods followed by a discount of 30 percent amounts to
The interest on a certain deposit at 4.5% p.a. is Rs. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a.?
If an amount of Rs 42,900 is distributed equally amongst 22 persons, how much amount would each person get?
When processing flower-nectar into honey bees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 15% water?
A particular library has 300 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 65 percent of books that were loaned out are returned and there are 244 books in the special collection at that time, how many books of the special collection were loaned out during that month?
What least number should be added to 1019, so that the sum is completely divisible by 25?
When N is divided by T, the quotient is S and the remainder is B. Which of the following expressions is equal to N?
Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran share in the profit?
The positive number a is q percent greater than the positive number b, which is p percent less than a itself. If a is increased by p percent, and the result is then decreased by q percent to produce a positive number c, which of the following could be true? I. c > a II. c = a III. c < a
what is next no. 11 23 47 83 131 191 263 347 443???
The product of all the prime numbers less than 30 is closest to which of the following powers of 10 ?
After 10% of the inhabitants of a village disappeared, a panic set in during which 25% of the remaining inhabitants left the village. At that time, the population was reduced to 5130. What was the number of original inhabitants?
A 400 meter long train crosses a platform in 45 seconds while it crosses a signal pole in 30 seconds. What is the length of the platform?