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big_math_dataset

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If t>0.9, which of the following options can be the value of t?
Cheese, bologna, and peanut butter sandwiches were made for a picnic in a ratio of 5 to 7 to 8. If a total of 160 sandwiches were made, how many bologna sandwiches were made?
A store has 10 bottles of juice, including 5 bottles of apple juice. In the evening, 6 bottles of juice are sold one by one. What is the probability of selling 3 bottles of apple juice among the 6 bottles? Assume that every bottle has an equal chance of being bought.
The length of the bridge, which a train 140 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
For any positive integer n, the sum of the first n positive integers equals [n(n+1)]/2. What is the sum of all the even integers between 99 and 201?
What is the solution of the equations x - y = 0.9 and 11(x + y)-1 = 2 ?
Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
A certain college's enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 10 percent greater than it was at the beginning of 1992. The college's enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ?
At what rate of annual simple interest,a certain sum will amount to four times in 15 year?
At what angle the hands of a clock are inclined at 15 minutes past 5?
The area of a parallelogram is 147 sq m and its base is thrice the corresponding height. Then the length of the base is?
Albert buys 4 horses and 9 goats for $ 13,400. If he sells the horses at 10% profit and the goats at 20% profit, then he earns a total profit of $ 1880. The cost of a horse is:
Free notebooks were distributed in a class among all the students. Each student got notebooks which were one-eighth of the number of student. If number of student been half, then each child would have received 16 notebooks in total. Find the total number of books distributed among students?
The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is:
When tossing two coins once, what is the probability of heads on both the coins?
A train is 360 meter long is running at a speed of 60 km/hour. In what time will it pass a bridge of 140 meter length?
The average of 13 numbers is 60. Average of the first 7 of them is 56 and that of the last 7 is 61. Find the 8th number?
five children, Arya, Betsy, Chen, Daniel, Emily, are to be seated in a single row of six chairs. If Betsy cannot sit next to Emily, how many different arrangements of the six children are possible?
A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 3 minutes?
The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
If A is thrice as fast as B and together can do a work in 15 days. In how many days A alone can do the work?
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 Q was deleted?
A sells a Cricket Bat to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $222 for it, the cost price of the Cricket Bat for A is:
Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/9 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?
The membership of a committee consists of 3 English teachers, 4 Mathematics teachers, and 2 Social Studies teachers. If 2 committee members are to be selected at random to write the committee’s report, what is the probability that the two members selected will both be social teachers?
32 % of 1500 is
If 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in
A cyclist covers a distnce of 750 m in 2 min 30 sec. What is the speed in km/hr of the cyclist?
A person sold a horse at a gain of 15%. Had he bought it for 25% less and sold it for Rs. 600 less, he would have made a profit of 32%. The cost price of the horse was:
pipes P and Q would fill a cistern 18 and 24 minutes respectively. Both pipes being opened, find when the first pipe must be turned off so that the cistern may be just filled in 12 minutes?
A Ship going at the speed of 18 km/hr crosses a light house in 20 seconds. What is the length of the train?
The ratio of the incomes of X and Y is 6:4 and the ratio of their expenditure is 5:3. If at the end of the year, each saves $2000 then the income of X is?
There is a square of side 6cm . A circle is inscribed inside the square. Find the ratio of the area of circle to square.
The length of a room is 8 m and width is 4.75 m. What is the cost of paying the floor by slabs at the rate of Rs. 900 per sq. metre.
If the height of an equilateral triangle TBC is equal in length to the hypotenuse of an isosceles right triangle DEF, a side of ΔTBC is how many times as long as a leg of the right triangle DEF?
A certain pilot flew 400 miles to City K at an average speed of 350 miles per hour with the wind and made the trip back at an average speed of 450 miles per hour against the wind. Which of the following is closest to the pilot’s average speed, in miles per hour, for the round-trip?
Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times taken to reach the destination would be (in minutes)?
A woman named Vaisali started a business investing Rs. 30,000. Roja joined him after six months with an amount of Rs. 90,000 and Sachin joined them with Rs. 60,000 after another six months. The amount of profit earned should be distributed in what ratio among Vaisali, Roja and Sachin respectively, 3 years after A woman started the business ?
A rope of which a calf is tied is increased from 10 m to 23 m, how much additional grassy ground shall it graze?
Katie has 9 employees that she must assign to 3 different projects. If 3 employees are assigned to each project and no one is assigned to multiple projects, how many different combinations B of project assignments are possible?
Jane sold N boxes of cookies. Each cookie costs M dollars to make, and Jane always makes a profit of P dollars per cookie. If each box of cookies contains Q cookies, what was the selling price for all the cookies?
A boat can move upstream at 15 kmph and downstream at 23 kmph, then the speed of the current is?
Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y?
16.02 × 0.001 = ?
In a rectangular coordinate system, points O (2,0), P (2,6), and Q (6,0) 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?
By selling 11 pencils for a rupee a man loses 30%. How many for a rupee should he sell in order to gain 30%?
If x and y are integers and |x - y| = 11, what is the minimum possible value of xy?
In the coordinate plane, points (x, 8) and (20, y) are on line k. If line k passes through the origin and has slope 1/4, then x * y =
In Town X, 60 percent of the population are employed, and 48 percent of the population are employed males. What percent of the employed people in Town X are females?
The number of perfect square divisors of 12!
A man is walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge is
Four people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
If the sum of a number and its square is 306, What is the number?
2, 3, 6, 15, _ , 123 ?
At exactly what time past 4:00 will the minute and hour hands of an accurate working clock be precisely perpendicular to each other for the first time?
Right triangle RST can be constructed in the xy-plane such that RS is perpendicular to the y-axis and the right angle is at R. The x and y-coordinates of R, S, and T are to be nonzero integers that satisfy the inequalities −3 ≤ x ≤ 4 and −7 ≤ y ≤ 3. Given these restrictions, how many different triangles can be constructed?
Working alone at its constant rate, machine K took 3 hours to produce 1/8 of the units produced last Friday. Then machine M started working and the two machines, working simultaneously at their respective constant rates, took 9 hours to produce the rest of the units produced last Friday. How many hours would it have taken machine M, working alone at its constant rate, to produce all of the units produced last Friday?
If 5 women or 8 girls can do a work in 84 days. In how many days can 10 women and 5 girls can do the same work?
P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day?
The sum of three integers A, B and C is 60. A is one third of the sum of B and C and B is one fifth of the sum of A and C. What is C?
Andrew purchased 14kg of grapes at the rate of 54 per kg and 10 kg of mangoes at the rate of 62 per kg. How much amount did he pay to the shopkeeper?
find the number, difference between number and its 3/5 is 64.
In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is:
Find the average of all numbers between 5 and 45 which are divisible by 6
If x/y is an integer, which of the following must also be not an integer? I. xy II. y/x III. x
15 litres of mixture contains 20% alcohol and the rest water. If 3litres of water be mixed with it, the percentage of alcohol in the new mixture would be?
A(n+1)=1+(1/A(n)) and A(1)=1. What is the value of A(7)?
Two fill pipes A and B can fill a cistern in 12 and 16 minutes respectively. Both fill pipes are opened together, but 4 minutes before the cistern is full, one pipe A is closed. How much time will the cistern take to fill ?
What approximate value should come in place of the question mark (?) in the following equation? 85.147 + 34.912 × 6.2 + ? = 802.293
What is the sum of the different positive prime factors of 540?
The number of sailors on a ship is 88% more than the number of officers. The ratio of sailors to officers would be
Mysoon collects glass ornaments. Ten more than 1/6 of the ornaments in her collection are handmade, and 1/2 of the handmade ornaments are antiques. If 1/4 of the ornaments in her collection are handmade antiques, how many ornaments are in her collection?
Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
A ferry can transport 85 tons of vehicles. Automobiles range in weight from 1,800 to 3,200 pounds. What is the greatest number of automobiles that can be loaded onto the ferry?
If 1=x. 2=2x 3=4x.... what is 2x*6x+5x/4x-56x
A man purchases 2 watches for $ 400. He sells one at 10% 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 :
Insert the missing number 4, -8, 16, -32, 64, (....)
Evaluate : (313 x 313 + 287 x 287).
In the Biotechnology class of 2000, there were R graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn't do both, What is R equal to?
In a question on division with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is?
A man's present age is two-fifth of the age of his father. After 8 years, he will be one-half of the age of his father. How old is the father at present
A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
A tourist purchased a total of $1,450 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost?
The sum of number of boys and girls in a school is 150. 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?
The average of 7 numbers is 15. If each number be multiplied by 5. Find the average of new set of numbers?
A farmer with 1,350 acres of land had planted his fields with corn, sugar cane, and tobacco in the ratio of 5:2:2, respectively, but he wanted to make more money, so he shifted the ratio to 2:3:4, respectively. How many more acres of land were planted with tobacco under the new system?
The mean daily profit made by a shopkeeper in a month of 30 days was Rs. 350. If the mean profit for the first fifteen days was Rs. 255, then the mean profit for the last 15 days would be
A positive integer is divisible by 3 if and only if the sum of its digits is divisible by 3. If the six-digit integer is divisible by 3, and n is of the form 1k1,k34, where k represents a digit that occurs twice, how many values could n have?
The average price of three items of furniture is Rs. 15000. If their prices are in the ratio 2:4:8, the price of the cheapest item is?
Working at their respective constant rates, Paul, Abdul and Adam alone can finish a certain work in 3, 4, and 5 hours respectively. If all three work together to finish the work, what fraction W of the work will be done by Adam?
if price of t.v set is reduced by 10%, then its sale increases by 85%, find net effect on sale value
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 64 hours and 25 hours respectively. The ratio of their speeds is?
How many positive integers less than 5,000 are evenly divisible by neither 15 nor 22?
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 40% profit?
97 students take part in a test and the median score is 85. Which of the following descriptions must be correct? I.At most 49 students’ score are equal to or more than 86. II. At least 49 students’ score are less than 85. III. At least 49 students’ score are equal to or more than 85.
The ‘moving walkway’ is a 300-foot long walkway consisting of a conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a rate of 3 feet per second. Once Bill reaches the group of people, he stops walking and stands with them until the walkway ends. What is Bill’s average rate Q of movement for his trip along the moving walkway?
If a tire rotates at 400 revolutions per minute when the car is traveling 72km/h, what is the circumference of the tire?
The difference between the place values of two sevens in the numerical 69758472 is
A cab driver 5days income was $300, $150, $750, $400 , $500. Then his average income is?