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big_math_dataset

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If integers e and b are distinct factors of 30, which of the following CANNOT be a factor of 30? I. eb + b^2 II. (e + b)^2 III. e + b
Two buses and a van were employed to transport a class of students on a field trip. 4/5 of the class boarded the first bus. 2/3 of the remaining students boarded the second bus, and the rest of the students boarded the van. When the second bus broke down, 1/2 of the students on the second bus boarded the first bus. Wha...
20 % of 2 is equal to
If |x| = |y| and xy < 0, which of the following must be true?
A certain quantity of 40% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?
A train 220 m long passed a pole in 22 sec. How long will it take to pass a platform 550 m long?
There are 2 groups named brown and red. They can n't marry in the same group. If the husband or wife dies then the person will revert to their own group. If a person is married then the husband will have to change his group to his wife's group. Children will own the mother's group. If man is red then his mother's broth...
X does 80% of a work in 20 days. He then calls in Y and they together finish the remaining work in 3 days. How long Y alone would take to do the whole work?
Two men started from the same place walk at the rate of 10kmph and 12kmph respectively. What time will they take to be 10 km apart, if they walk in the same direction?
In a college, the ratio of the number of boys to girls is 8 : 5. If there are 400 girls, the total number of students in the college is
P can do a work in 48 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in --- days.
A collector collects stamps from foreign countries. In June, she gave 20 percent of her stamps to her friend. In July, she gave 30 percent of her remaining stamps to another friend. If these were the only changes in the number of stamps in the stamp collection during those two months, what percent of her collection at ...
What is the number? I. The sum of the two digits is 8. The ratio of the two digits is 1 : 3. II. The product of the two digit of a number is 12. The quotient of two digits is 3.
A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water?
if a man earns Rs20 on first day and spends Rs15 on second day ,and earns Rs20 on third day and spends Rs 15 on fourth day and goes on on which day he will be having Rs 60.
A part-time employee whose hourly wage was increased by 50 percent decided to reduce the number of hours worked per week so that the employee's total weekly income would remain unchanged. By what percent should the number of hours worked be reduced?
A number is said to be prime saturated if the product of all the different positive prime factors of d is less than the square root of d. What is the greatest two digit prime saturated integer ?
At Company X, senior sales representatives visit the home office once every 18 days, and junior sales representatives visit the home office once every 12 days. The number of visits that a junior sales representative makes in a 2-year period is approximately what percent greater than the number of visits that a senior r...
If the length of a rectangular field is 30 metres more than its breadth and the perimeter of the field is 540 metres, what is the area of the field in square metres?
The length of a rectangular floor is more than its breadth by 200%. If Rs.400 is required to paint the floor at the rate of Rs.3/sq m, what would be the length of the floor?
In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 3,087,000, how many red beads were removed?
Each of the squares above is to have exactly one letter and nothing else placed inside it. If 3 of the letters are to be the letter X, 2 of the letters are to be the letter Y, and 1 of the letters is to be the letter Z, in how many different arrangements can the squares have letters placed in them?
If j and k are integers and j^2 / k is odd, which of the following must be true ?
Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 15% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be
If a survey shows that 60 citizens out of a sample of 200 support a particular Senate bill, what percent of the sample does not support the bill?
A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
A straight line in the xy- plane has y-intercept of 17 . If the slope is half its y-intercept, and the x-coordinate of the point in this line is 7, find the y-coordinate.
There are 20 pieces of candy and 4 kids. How many pieces of candy does each kid get?
The perimeter of a triangle is 40 cm and the in radius of the triangle is 2.5 cm. What is the area of the triangle?
In ΔPQS above, if PQ =2 and PS = 3, then
A train running at a speed of 60 kmph crosses a pole in 12 seconds.What is the length of the train?
In how many different ways can the letters of the word "NEGLIGENCE" be rearrangement?
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 and 15th terms in sequence S?
Express a speed of 342 kmph in meters per second?
The juice stall at the circus stocked just 2 brands of orange juice tetra packs. Brand A costs $1 per pack and brand B costs $1.5 per pack. Last week , brand A contributed to m% of stall’s revenue and accounted for n% of sales of juice tetra packs. Which of the following expresses m in terms of n?
A man started driving at a constant speed, from the site of a blast, the moment he heard the blast. He heard a second blast after a time of 30 mins and 25 seconds. If the second blast occurred exactly 30 mins after the first, how many meters was he from the site when he heard the second blast? ( speed of sound = 330 m/...
If 5 machines can produce 20 units in 10 hours, how long would it take 20 machines to produce 120 units?
The length of the side of square A is twice the length of the side of square B. What is the ratio of the area of square A to the area of square B?
The value of log2 16 is
A man saves Rs 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years.
If X gets 25% more than Y and Y gets 20% more than Z, the share of Z out of Rs. 1480 will be:
A,B,C and D play a game of cards. A says to B "If I give you 8 cards, you will have as many as C has and I shall have 3 less than what C has. Also if I take 6 cards from C, I shall have twice as many as D has". If B and D together have 50 cards, how many cards have A got?
How many mashes are there in 1 squrare meter of wire gauge if each mesh is 8mm long and 5mm wide ?
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Find the one which does not belong to that group ?
A dishonest dealer professes to sell goods at the cost price but uses a weight of 650 grams per kg, what is his percent?
If r and b are positive numbers, and r^3 + b^3 = 75, then the greatest possible value of r is between:
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
If two integers x,y (x>y) are selected from -4 to 4 (inclusive), how many cases are there?
Find how many positive integers less than 10,000 are there suchthat the sum of the digits of the no. is divisible by 3?
In the third grade of Windblown School there are 84 students, one third of them failed the math test and 1/6 failed that literature test. At least how many students failed both tests?
At The KHOOL Company, high quality and low quality solar reflecting sunglasses are made, where 70 percent of the sunglasses made are high quality and 25 percent are low quality (defective sunglasses are tossed away into the recycle bin, but must be counted as product produced). If there are 50 sunglasses made per day t...
A boat can move upstream at 30 kmph and downstream at 35 kmph, then the speed of the current is?
Ram and Shyam can do together a piece of work in 20 days. After they have worked together for 12 days Matt stops and Peter completes the remaining work in 10 days. In how many days Peter complete the work separately.
Find the missing in the series: 70, 54, 44, 41,___
If y is the smallest positive integer such that 8820 multiplied by y is the square of an integer, then y must be
A certain high school has 500 students. Of these students, 30 are taking music, 10 are taking art, and 10 are taking both music and art. How many students are taking neither music nor art?
A rope can make 70 rounds of the circumference of a cylinder whose radius of the base is 14cm. how many times can it go round a cylinder having radius 20 cm?
A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?
Insert the missing number. 8, 7, 11, 12, 14, 17, 17, 22,20,27,23 (....)
In measuring the sides of a rectangle, one side is taken 16% in excess and other 5% in deficit. Find the error percentage in the area calculated from these measurements.
The sale price shirts listed f or Rs.400 after successive discount is 10% and 5% is?
Find the fraction which has the same ratio to 2/13 that 5/34 has to 7/48.
In a certain parking lot, 10% of the cars are towed for parking illegally. However 80% of the cars which are parked illegally are not towed. What percentage of cars in the parking lot are parked illegally?
There are 12 red shoes, 7 green shoes. If one draw randomly a shoe what is the probability of getting a red shoe
If inflation increases at a rate of 8 p.c.p.a. what will a 20 article cost at the end of two years?
If rupee one produces rupees nine over a period of 42 years, find the rate of simple interest?
Two pens and three pencils cost Rs 86. four Pens and a pencil cost Rs. 112. find the cost of a pencil.
The remainder obtained when a prime number greater than 4 is divided by 4 is
The batting average of a particular batsman is 60 runs in 46 innings. If the difference in his highest and lowest score is 160 runs and his average excluding these two innings is 58 runs, find his highest score.
If r and s are positive integers and r-s=6, which of the following has the greatest value J?
It takes 35 identical printing presses 12 hours to print 500,000 papers. How many hours would it take 30 of these printing presses to print 500,000 papers?
Salesperson A's compensation for any week is $300 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salepeople earn the same compensation?
In a apartment, 30% of the people speak English, 20% speak Hindi and 10% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
A train 600 m long can cross an electric pole in 20 sec and then find the speed of the train?
The area of one square is x^2 + 8x + 16 and the area of another square is 4x^2 − 28x + 49. If the sum of the perimeters of both squares is 72, what is the value of x?
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along theoundary of the park at the speed of 12 km/hr completes one round in 8 min, then thearea of the park (in sq. m) is?
A rectangular tiled patio is composed of 30 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 30 tiles, and it will still be rectangular. How many rows are in the tile patio before the cha...
If 1+2+3+...+n=n (n+1), then 2 (1+3+5+....+89)=?
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
There are 9 days of school left. Cassie has $50. How much money does Cassie's mom need to give her in order for Cassie to spend $6 on lunch for each of the nine remaining school days?
John had a stock of 1200 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?
The proportion of water to alcohol in Solution A is 2:1 and the proportion of water to alcohol in Solution B is 2:3. If an equal amount of each solution is mixed together, what is the concentration of alcohol in the new solution?
Three numbers are in the ratio 3:5:7. The largest number value is 49. Find difference between Smallest & largest number is?
A girlscout is selling cookies in her neighborhood. She has a goal to sell $150 worth of cookies. Each box costs $2.50 each. How many boxes will she need to sell in order to reach 75% of her goal?
A certain company has records stored with a record storage firm in 15-inch by 12-inch by 10-inch boxes. The boxes occupy 1.08 million cubic inches of space. If the company pays $0.8 per box per month for the record storage, what is the total amount that the company pays each month for record storage?
Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?
The area of a parallelogram is 450sq m and its altitude is twice the corresponding base. Then the length of the base is?
The number 0.127 is how much greater than 1/8 ?
What quantity of water should be added to reduce 9 liters of 50% acidic liquid to 30% acidic liquid?
The average salary of workers in an industry is Rs.300 the average salary of technicians being Rs.400 and that of non-technicians being Rs.125. What is the total number of workers?
The edges of three metal cubes are 1 cm, 2 cm, and 4 cm respectively. A new cube is made by melting these three cubes together. What is the edge of the new cube (in centimeters)?
Albert buys 4 horses and 9 cows for Rs. 13,400. If he sells the horses at 10% profit and the cows at 20% profit, then he earns a total profit of Rs. 1880. The cost of a horse is?
A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.30 per kg. What will be his gain percent?
A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.330. How much does C have?
Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 7 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?
How many integers Z are prime numbers in the range 200 < Z < 220?
A invested $150 in a business after 6 months B invested $200 in the business. End of the year if they got $100 as profit. Find A shares?
The average of 6 observations is 12. A new seventh observation is included and the new average is decreased by 1. The seventh observation is :