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big_math_dataset

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The area of a square is subtracted from one of its sides, and the perimeter is then added to this total, the result is 4. What is the length of one side?
If (b-5)(y+2) = 0 which of the following must be true?
Lena’s grade was in the 80th percentile out of 120 grades in her class. In another class of 200 students there were 24 grades higher than Lena’s. If nobody had Lena’s grade, then Lena was what percentile of the two classes combined?
(1^2 + 2^2 + 3^2 + ... + 10^2) = ?
In a business A receives 20% of the annual profit, and remaining is divided between B and C in the ratio 3 : 5, ratio of difference between the amount received by A and B out of annual profit is Rs.1200. What is C’s share in the annual profit ?
A city of 4000 has the rate of 25.4 per 2000 people moving into the town while 10.5 per 1000 move out. How long will take for the population to double.
0.0008154/0.00205x16.5=?
In an electric circuit, two resistors with resistances J and K are connected in parallel. In this case, if L is the combined resistance of these two resistors, then the reciprocal of L is equal to the sum of the reciprocals of J and K. What is L in terms of J and K?
John and Steve are speed walkers in a race. John is 14 meters behind Steve when he begins his final push. John blazes to the finish at a pace of 4.2 m/s, while Steve maintains a blistering 3.7 m/s speed. If John finishes the race 2 meters ahead of Steve, how long was John’s final push?
A boat M leaves shore A and at the same time boat B leaves shore B. They move across the river. They met at 500 yards away from A and after that they met 300 yards away from shore B without halting at shores. Find the distance between the shore A & B
Aman started a business investing Rs. 50,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
The average of ten numbers is X and the average of five of these is Y.If the average of the remaining five is z, then
The line CD is parallel to AB and crosses the angle BOA so that O,B,D lie on the same line and so do O,A,C. If OA=2, AC=4 and BD=6, determine the length of OB.
If a-b= 4 and a^2+b^2=80, find the value of ab
A group of people participate in some curriculum, 30 of them practice Yoga, 25 study cooking, 15 study weaving, 6 of them study cooking only, 8 of them study both the cooking and yoga, 7 of them participate all curriculums. How many people study both cooking and weaving?
In the reading room of a library, there are 23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?
A fair coin with sides marked heads and tails is to be tossed eight times. What is the probability that the coin will land tails side up more than four times?
An empty fuel tank is filled with brand Z gasoline. When the tank is 3/4 empty, it is filled with brand Y gasoline. When the tank is half empty again, it is filled with brand Z gasoline. When the tank is half empty again, it is filled with brand Y gasoline. At this time, what percent of the gasoline in the tank is brand Z?
By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?
Three years ago the average age of A and B was 18 years. with c joining them ,the average age become 22 years.how old is c?
9. On level farmland, two runners leave at the same time from the intersection of two country roads. One runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 42 miles per hour faster than the first runner's rate. How far apart, to the nearest mile, will they be after 1/2 hour ?
How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 1600. He sold both the items together for Rs. 31150. What percentage of profit did he make?
A bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. If the total time taken is 6.5 hours, then the distance covered at 40 kmph is
The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A?
Walking at the rate of 4kmph a man cover certain distance in 2hr 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in.
Sam invested Rs. 5000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?
A circular mat with diameter 12 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
A student got twice as many sums wrong as he got right. If he attempted 54 sums in all, how many did he solve correctly ?
A female student must answer 7 out of 10 questions on an examination. If at least 3 of the first 5 questions must be answered, how many possible combinations of 7 questions are available to the student?
In ten years, David will be four times as old as Aaron. Twenty years ago, David was twice as old as Ellen. If David is five years older than Ellen, how old is Aaron?
If x = √11 + √20, y = √15 + √17 and z = √14 + √18, then which of the following holds true?
a metallic cuboid of dimensions 27x18x12 m is melted.find the minimum amount of the volume of molten metal which should be added to mould it into a cube whose edge is 'a' cm where a is an integer.
Gasoline varies in cost from $0.95 to $1.15 per gallon. If a car’s mileage varies from 16 to 24 miles per gallon, what is the difference between the most and least that the gasoline for a 480-mile trip will cost?
Mitchell took a box of pushpins and counted how many there were of each colour. There was 1 red pushpin, 5 blue pushpins, and 2 yellow pushpins. How many pushpins were there in all?
Robert spent $120 in buying raw materials, $195 in buying machinery and 10% of the total amount he had as cash with him. What was the total amount?
Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 115. If the ratio of his marks in English and Maths is 5:1, find his marks in Science?
In an election, candidate A got 85% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate.
A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 26 m * 2 m * 0.75 m?
Helen went to the stationers and bought things worth Euro 23, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
In the coordinate plane, the points F (-1,1), G (1,2), and H (2,1) lie on a circle with center P. What are the coordinates of point P ?
How many meters of carpet 50cm, wide will be required to cover the floor of a room 30m * 20m?
The market value of a certain machine decreased by 15 percent of its purchase price each year. If the machine was purchased in 1982 for its market value of $8,000, what was its market value two years later?
The water level in a rectangular swimming pool measuring 60 feet by 10 feet is to be lowered by 6 inches. How many gallons of water must be removed? (1 cu ft = 7.5 gallons)
A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
If # is an operation which results in adding the digits of integer until a single digit is left, what is the probability W that a number picked up in first 90 positive integers will have the result of # as an odd digit ?
Suresh borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next two years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of 11 years is Rs.8160, how much money did he borrow?
a three digit number, sum of the digit is 17, the sum of square of digits is 109, if it is subtracted wit 495 the number gets reversed, find the three digit number.
Mohan purchased 12 kgs of rice at the rate of Rs.26 per kg and 8 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total amount that he paid to the shopkeeper?
A can do a piece of work in 5 days and B can do it in 6 days how long will they both work together to complete the work?
What is the sum of the numbers between 1 and 20, inclusive?
The length of the shorter side of a rectangle is 2 units. The length of each diagonal is 4 units. What is the acute angle between the diagonals?
Sixty five percent of a number is 21 less than four fifth of that number. What is the number ?
For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 2 order of $250 ?
A watch was sold at a loss of 10%. If the watch was sold for $24 more, there would have been a gain of 6%. What is the cost price?
What is the absolute value of twice the difference of the roots of the equation D=5y^2 − 20y + 15 = 0 ?
If (2x + 2)(x + 3) = 2x^2 + x, what is a possible value of x?
The water from one outlet, flowing at a constant rate, can fill a swimming pool in 12 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 8 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool?
If (2a + 3b)/(5a - 3b) = 23/5 , then the value of b : a is ?
Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 14000, then find his savings?
In how many ways can the letters of the word ARRANGED be arranged in a row so that the vowels appear in alphabetic order?
Two numbers are respectively 71% and 80% more than a third number. The percentage that is first of the second is?
A wire can be bent in the form of a circle of radius 56cm. If it is bent in the form of a square, then its area will be
Machine M, N, O working simultaneously Machine M can produce x units in 3/4 of the time it takes machine N to produce the same amount of units. Machine N can produce x units in 1/3 the time it takes machine O to produce that amount of units. If all three machines are working simultaneously, what fraction of the total output is produced by machine N?
What is the area of a square field whose diagonal of length 40 m?
A circular mat with radius 10 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 128 of the workers of that company are men, how many of the workers are women?
Excluding stoppages, the speed of a bus is 82 kmph and including stoppages, it is 75 kmph. For how many minutes does the bus stop per hour?
A man can row his boat with the stream at 26 km/h and against the stream in 12 km/h. The man's rate is?
A car takes 6 hours to cover a distance of 504 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 4 cm. What is the length of the wire?
A man can row a distance of 5 km in 60 min with the help of the tide. The direction of the tide reverses with the same speed. Now he travels a further 40 km in 10 hours. How much time he would have saved if the direction of tide has not changed?
Given positive even integer y, which of the following CAN be evenly divisible by y?
Given that there are 6 basketball players per team, how many ways can you select 2 basketball players from 3 teams if no more than one player can be selected from each team?
A and B together can do a piece of work in 6 days and A alone can do it in 14 days. In how many days can B alone can do it?
A number x is multiplied with itself and then added to the product of 4 and x. If the result of these two operations is 0, what is the value of x?
Working individually, Amy can hang picture frames for 5 hours and John can hang picture frames in 4 hours. If Amy and John work together but independently at the task for 1 hour, at which point John leaves, how many remaining hours will it take Amy to complete the task alone?
In a games hour 4 different types of players came to the ground? cricket 16, hokey 12, football 18, softball 13. How many players are present in the ground?
If P is a prime number greater than 3, find the remainder when P^2 + 16 is divided by 12.
A meal cost $ 32.50 and there was no tax. If the tip was more than 10 pc but less than 15pc of the price, then the total amount paid should be:
x and y are integers. a+ b< 11 , and a> 6. What is the smallest possible value of a- b?
Today Joelle opened an interest-bearing savings account and deposited $5,000. If the annual interest rate is 5 percent compounded interest, and she neither deposits nor withdraws money for exactly 2 years, how much money will she have in the account?
One train is traveling 36 kmph and other is at 15 meters a second. Ratio of the speed of the two trains is?
How many pairs (r, r+1) have one or more prime factors common, where r is an integer and 2 ≤ r ≤9 ?
A juice manufacturer organized taste-testing sessions featuring four brands of orange juice, A, B, C and D. All customers who participated told the organizer which variety they thought was the most similar to freshly-squeezed orange juice. 61% preferred brand A and exactly half as many preferred brand B. Only 60 chose brand C. Which of the following could be the number of customers who preferred brand D?
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?
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles?
P is 40% more efficient than Q. P can complete a work in 24 days. If P and Q work together, how many days will it take to complete the same work?
The average of five consecutive odd numbers A, B, C, D and E is 33. What percent of A is D ?
Three photographers, Lisa, Mike and Norm, take photos of a wedding. The total of Lisa and Mikes photos is 40 less than the sum of Mike's and Norms. If Norms photos number 10 more than twice the number of Lisa's photos, then how many photos did Norm Take?
A is twice as good a workman as B and they took 7 days together to do the work B alone can do it in.
A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is:
Present ages of X and Y are in the ratio 5:6 respectively. Ten years hence this ratio will become 6:7 respectively. What is X's present age in years?
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 250 km of the tour is:
A man rows his boat 75 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
The average of six numbers is 3.85. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?
A small beaker is 1/2 filled with salt water. Another beaker, which has five times the capacity of the small beaker, is 1/4 filled with fresh water. After dumping all of the salt water from the small beaker into the large beaker, to what fraction of its capacity will the large beaker be filled?
What will be remainder when (67^67 + 67) is divided by 68 ?