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big_math_dataset

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Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many W kilometers per hour did Tammy walk on the second day?
If p > 1 and q = 2^(p −1), then 4^p =
A scientist used a unique two-color code to identify each of the test subjects involved in a certain study. If the scientist found that choosing from among five colors produced enough color codes to identify all but 5 of the test subjects, how many test subjects were in the study? (Assume that the order of the colors in the codes does not matter.)
The mass of the sun is approximately 2 × 10^25 kg and the mass of the moon is approximately 8 × 10^12 kg. The mass of the sun is approximately how many times the mass of the moon?
If C + D = 17 and C and D are positive integers, which of the following is a possible value for 3C + 2D?
In a class everyone will play at least one sport viz table tennis, cricket and badminton. 73 students play table tennis, 79 play badminton, 75 play cricket and 25 students play both table tennis and badminton, 24 play both table tennis and cricket 30 play. Badminton and cricket and 16 students play all the sports. How many students are there in the class ?
Two lorries each 350 m long are running in opposite directions on parallel tracks. Their speeds are 40km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
In a simultaneous throw of pair of dice .find the probability of getting the total more than 7
A car crosses a 600 m long bridge in 5 minutes. What is the speed of car in km per hour?
If 5 people undertook a piece of construction work and finished half the job in 15 days. If two people drop out, then the job will be completed in?
A firm is comprised of partners and associates in a ratio of 2:63. If 50 more associates were hired, the ratio of partners to associates would be 1:34. How many partners are currently in the firm?
Simple interest on a certain sum is 16.2 over 20 of the sum. Find the rate per cent and time, if both are equal.
A certain Social Security recipient will receive an annual benefit of $12,000 provided he has annual earnings of $9,360 or less, but the benefit will be reduced by $1 for every $3 of annual earnings over $9,360. What amount of total annual earnings would result in a 55 percent reduction in the recipient's annual Social Security benefit? (Assume Social Security benefits are not counted as part of annual earnings.)
x and y are positive integers of T. If 1/x + 1/y < 2, which of the following must be true?
If MANGO is written as 41576 and APPLE is written as 17735, then GRAPES would be written as:
A, B and C work on a task. To complete the task alone, B takes twice the time that A would take to complete the task alone and 1/4rd the time that C would take to complete the task alone. If B actually worked for half the number of days that A worked and 3/2 times the number of days that C worked, what proportion of the total work was completed by B?
If the positive integer N is a perfect square, which of the following must be true? I. The number of distinct factors of N is odd. II. The sum of the factors of N is odd. III. The number of distinct prime factors of N is even.
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
A person borrowed Rs.500 at the rate of 5% per annum S.I what amount will he pays to clear the debts after 4 years?
Find the smallest number which should be multiplied with 1152 to make it a perfect square.
Two trains 140 m and 210 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
How many integers are between 5 and 96/7, inclusive?
How many zeroes are there at the end of the number N, if N = 60! + 120! ?
A pupil's marks were wrongly entered as 67 instead of 45. Due to that the average marks for the class got increased by half. The number of pupils in the class is :
The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time will they meet?
The average of 13 numbers is 60. Average of the first 6 of them is 57 and that of the last 8 is 61. Find the 8th number?
A bag marked at Rs. 80 is sold for Rs. 68. The rate of discount is :
A corporation triples its annual bonus to 50 of its employees. What percent Q of the employees’ new bonus is the increase?
One-sixth of the attendees at a certain convention are female students, two-thirds of the attendees are female, and one-third of the attendees are students. If 200 of the attendees are neither female nor students, what is the total number of attendees at the convention?
if price of t.v set is reduced by 22%, then its sale increases by 86%, find net effect on sale value
A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
How many three letter words are formed using the letters of the word TIME?
The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
The dimensions of a rectangular solid are 6 inches, 5 inches, and 8 inches. If a cube, a side of which is equal to one of the dimensions of the rectangular solid, is placed entirely within thespherejust large enough to hold the cube, what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube?
The average of 6 no.'s is 3.95. The average of 2of them is 4.2, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
A charitable association sold an average of 66 raffle tickets per member. Among the female members, the average was 70 raffle tickets. The male to female ratio of the association is 1:2. What was the average number W of tickets sold by the male members of the association
A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
In a village there are 150 men and 90 women in present time.if in next year population will be P=(a^2 +b^2)^1/2 , and in every year men are reduces 6%.what is population of after 2 year.
If the price of 23 toys is 276, then what will the price of 12 toys ?
A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%?
A can do a piece of work in 80 days. He works at it for 10 days & then B alone finishes the remaining work in 42 days. In how much time will A and B, working together, finish the work?
In a car wheel, twenty spokes cover 120 degrees. Then for the entire car,how many spokes are there?
What is the sum of the greatest common factor and the lowest common multiple of 24 and 36?
A question paper has two parts X and Y, each containing 10 questions. If a student wants to choose 8 from part X and 4 from part Y, in how many ways can he do that?
If a radio is purchased for Rs 490 and sold for Rs 465.50 Find the loss%?
Analyze the number square carefully and find out what number fits in place of question mark. 2 4 6 3 6 9 4 8 ?
The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 18, how many more dollars, in terms of x, will it cost per person?
Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years. Year Item of Expenditure Salary Fuel and Transport Bonus Interest on Loans Taxes 1998 288 98 3.00 23.4 83 1999 342 112 2.52 32.5 108 2000 324 101 3.84 41.6 74 2001 336 133 3.68 36.4 88 2002 420 142 3.96 49.4 98 What is the average amount of interest per year which the company had to pay during this period?
8.008/2.002
A man goes downstream at 10 kmph, and upstream8 kmph. The speed of the stream is
The average marks of a class of 35 students is 40 and that of another class of 45 students is 60. Find the average marks of all the students?
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 2000 more than D, what is B's share?
375 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
If a(a - 8) = 9 and b(b -8) = 9, where a ≠ b, then a + b =
Mary decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. If Mary's savings by the end of the year from these monthly savings were FOUR times the amount she spent per month, what should be the fraction of her salary that she spent each month?
A tourist purchased a total of $2,000 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?
If x, y, and z are three different prime numbers, which of the following is the smallest possible value of x + y + z?
In the city of San Durango, 60 people own cats, dogs, or rabbits. If 30 people owned cats, 40 owned dogs, 10 owned rabbits, and 8 owned exactly two of the three types of pet, how many people owned all three?
A man travels 100km by train at 60km/hr, 200km by ship at 20km/hr, 300km by aeroplane at 100km/hr and 100km by car at 50km/hr. What is the average speed for the entire distance?
It is being given that (5^32+1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
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 301?
A man cheats while buying as well as while selling. While buying he takes 10% more than what he pays for and while selling he gives 20% less than what he claims to. Find the profit percent, if he sells at 13% below the cost price of the claimed weight.
How many numbers from 32 to 97 are exactly divisible by 9?
On dividing a number by 5, we get 3 as remainder. What will be the remainder when the square of this number is divided by 5 ?
A train with a length of 100 meters, is traveling at a speed of 72 km/hr. The train enters a tunnel 3.5 km long. How many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is ?
An article is bought for Rs.475 and sold for Rs.525, find the gain percent?
In an animal behavior experiment, 40 tagged white pigeons and 200 tagged gray pigeons were released from a laboratory. Within one week, 88 percent of the white pigeons and 80.5 percent of the gray pigeons had returned to the laboratory. What percent of the total number of pigeons returned to the laboratory?
What annual installment will discharge a debt of $1092 due in 3 years at 12% simple interest?
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
A batsman in his 18th innings makes a score of 150 runs and there by increasing his Average by 6. Find his average after 18th innings.
Two trains leave a station traveling in the same direction. Train A leaves traveling at a constant speed of 50 mph, while train B leaves traveling at a constant speed of 80 mph. If train B left the station 30 minutes after train A left, in how many minutes will train B overtake train A?
3: 5 = 4/3: x. The value of x is?
How many natural numbers between 23 and 137 are divisible by 7?
The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?
In a group of cows and hens, the number of legs are 20 more than twice the number of heads. The number of cows is :
A train 300 m long passed a pole in 30 sec. How long will it take to pass a platform 1000 m long?
If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was?
One water pump can fill half of a certain empty tank in 3 hours. Another pump can fill half of the same tank in 312312 hours. Working together, how long will it take these two pumps to fill the entire tank?
Cost is expressed by the formula tb^4. If b is doubled, the new cost Q is what percent of the original cost?
What is the smallest possible common multiple of three integers, all larger than 26?
A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is?
If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is ?
If the probability R of rain on any given day in city x is 50% what is the probability it with rain on exactly 3 days in a five day period?
In what ratio P:Q should the Mixture P of milk and water in the ratio of 2:1 be mixed with another Mixture Q of milk and water in the ratio 1:5 so that the resultant mixture contains equal quantities of milk and water?
What is the simple interest on Rs 7000 at 10% per annum for the period from 16th January 2017 to 8th April 2017.
A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is ?
Calculate the percentage gain if a trader bought a bicycle for Rs.550 and sold it for Rs.650?
If a certain sample of data has a mean of 30.0 and a standard deviation of 3.5, which of the following values is more than 2.5 standard deviations from the mean?
In a graduate physics course, 70 percent of the students are male and 30 percent of the students are married. If two-sevenths of the male students are married, what fraction of the female students is married?
One fourth of a solution that was 8% sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent sugar by weight?
If you cut a 22ft piece of wood into two pieces making one piece 4ft longer than the other. What size is the smaller piece?
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
L2Q,L6S,P12U,R20W,T30U,?
If two sides of a triangle have lengths 5 and 7, which of the following could be the perimeter of the triangle? I. 9 II. 15 III. 19
If TIER is written as 7163 and BRAIN is written as 23415, how is RENT coded ?
A dishonest dealer professes to sell goods at the cost price but uses a weight of 780 grams per kg, what is his percent?
Of the final grades received by the students in a certain math course, 1/5 are A's, 1/4 are B's, 1/2 are C's, and the remaining 40 grades are D's. What is the number of students in the course?
What percent of 16 is 16 percent of 1?