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big_math_dataset

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x - y = 5 2x = 2y + 10 The system of equations above has how many solutions?
In the list 3, 3, 4, 4, 5, 5, 5, 5, 7, 11, 21, what fraction of the data is less than the mode?
A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
A grocer buys apples for 100¢ per pound. If 20% of the apples goes bad and he still wants to make a 10% profit over his purchase price, what should be the sales price?
A and B invests Rs.3000 and Rs.5000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Of the three numbers, the first is twice as second and three times the third. The average of the three numbers is 88, and the three numbers in order are?
If two numbers are in the ratio 4:3. If 20 is added to both of the numbers then the ratio becomes 5:4 then find the smallest number?
If f and t are integers and f^2 – t^2 is an odd integer, which of the following must be an even integer? I. f + t + 2 II. f^2 + 2ft + t^2 III. f^2 + t^2
The pages of a report are numbered consecutively from 1 to 9. If the sum of the page numbers up to and including page number x of the report is equal to THREE less than the sum of the page numbers following page number x, then x =
If 8 cats can kill 8 rats in 8 minutes, how long will it take 100 cats to kill 100 rats?
A cistern is normally filled in 2 hrs,but takes 2 hrs longer to fill because of a leak on its bottom,if Cistern is full ,how much time citern would empty?
The cash difference between the selling prices of an article at a profit of 8% and 6% is Rs. 3. The ratio of the two selling prices is?
For which of the following functions is f(q) = f(−q) for all values of q ?
Last year the price per share of Stock X increased by k percent and the earnings per share of Stock X increased by m percent, where k is greater than m. By what percent did the ratio of price per share to earnings per share increase, in terms of k and m?
A bakery sells 4 varieties of pastries. John buys 10 pastries making sure, he gets at least one of each kind. In how many ways can John make the purchase ?
A certain protective additive increases from 50 days to 60 days the time between required maintenance checks on an industrial vehicle. By what percent is the time between maintenance checks increased by using the additive?
The relationship between quantities m and n is expressed by the equation 30m = 5(n - 42). If the difference between the two chosen values of n is 30, what is the difference in the corresponding values of m?
A sock drawer contains five socks, each one a different solid color. The colors of the socks are yellow, green, blue, indigo, and violet. If the socks are laid next to each other, how many different arrangements of socks could be made?
Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 16 hours and 25 hours after they passed each other the ratio of the speeds of the two trains was
At a certain university, the ratio of the number of teaching assistants to the number of students in any course must always be greater than 4:85. At this university, what is the maximum number of students possible in a course that has 5 teaching assistants?
A, B, and C working alone can finish constructing a house in 6, 12, and 18 hours respectively. A starts alone and works for 1 hour. He is then joined by B and they work together for 1 hour. Finally C joins them and they all work together to finish the work. If they start working at 9 am, at what time will they finish?
If |20x-10| = 150, then find the product of the values of x?
Jack has two dice, one has six equally probable sides, labeled 1, 2, 3, 4, 5, 6, and the other has seven equally probable sides, labeled 1, 2, 3, 4, 5, 6, 7. If Jack rolls both dice what is the probability that both of the numbers will be even?
If the average cost of a house was $70,000 in 1965 and was x in 2005, what was the average increase in home prices per year over this period?
A loan has a variable interest rate that fluctuates between 5% and 10% of the base payment per month. If base payments remain at $200 each month and an additional monthly surcharge of 1% is added to the combined (base + interest), what would be the greatest possible payment due in any given month?
If the original mass of an element, in grams, is a whole number and the element has decayed by exactly 93 percent in some time period, which of the following could be the final mass of that element?
Five 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:
In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 42 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp?
A can have a piece of work done in 8 days, B can work three times faster than the A, C can work five times faster than A. How many days will they take to do the work together ?
Calculate the sum of first 28 natural numbers.
The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15th student is
The average of seven numbers is 26. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
How many figures are required to number the pages the pages of a book containing 709 pages?
If k is an integer, which of the following must be an even integer?
A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
Three unbiased coins are tossed. What is the probability of getting 2 Tails?
The average age of a group of n people is 15 years old. One more person aged 37 joins the group and the new average is 17 years old. What is the value of n?
The sum of ages of 5 children born at the intervals of 2 years each is 55 years. What is the age of the youngest child?
Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is ?
3,5,9,15,23,__
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
A electricity company charges $3 for the first 500 units consumption plus $0.05 for each additional unit. What would this company charge for a consumption of 800 units ?
If b can complete the work in n days and if a and b can work together then they will complete in y days. what will be time to complete the work a alone?
A trader marks his product 40% above its cost. He sells the product on credit and allows 10% trade discount. In order to ensure prompt payment, he further gives 10% discount on the reduced price. If he makes a profit of Rs. 67 from the transaction, then the cost price of the product is
If 638521 is to be divisible by 5, what is the least whole number that should be added to?
A, B and C can do a piece of work in 6,8 and 12 days respectively. In how many days would all of them complete the same job working together?
The food in a camp lasts for 10 men for 20 days. If 30 more men join, how many days will the food last?
A sequence consists of 16 consecutive even integers written in increasing order. The sum of the first 8 of these even integers is 456. What is the sum of the last 8 of the even integers?
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?
In a recent election, Ms. Robinson received 8000 voters cast by independent voters, that is, voters not registered with a specific political party. She also received 40 percent of the votes cast by those voters registered with a political party. IF N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Mrs. Robbins received?
David invested certain amount in three different schemes. A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in scheme C was 150% of the amount invested in scheme A and 240% of the amount invested in scheme B, what was the amount invested in scheme B?
In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
There are 16 balls in a jar: 8 red, 6 blue and 2 green. If a single ball is drawn from the jar, what is the probability of that it is either blue or red?
By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 40%?
If x, y, and z are positive integers, and 4x = 5y = 8z, then the least possible value of x + y + z is
Twelve years ago, P was half of Q's age. If the ratio of their present ages is 3:4 what will be the total of their present ages?
1. The simple interest on a sum of money is Rs. 50. What is the sum? I. The interest rate is 10% p.a. II. The sum earned simple interest in 10 years
(6)6.5 × (36)4.5 ÷ (216)4.5 = (6)?
A train 200 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
What inequality represents the condition 1<x<7?
Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed?
Vijay sells a cupboard at 16% below cost price. Had he got Rs.1200 more, he would have made a profit of 16%. What is the cost price of the cupboard?
The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
A sum of money doubles itself in 7 years. In how many years it becomes four fold?
A car drove from Town A to Town B without stopping. The car traveled the first 50 miles of its journey at an average speed of 25 miles per hour. What was the car’s average speed, in miles per hour, for the remaining 110 miles if the car’s average speed for the entire trip was 40 miles per hour?
A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 2:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?
For each 6-month period during a light bulb's life span, the odds of it not burning out from over-use are half what they were in the previous 6-month period. If the odds of a light bulb burning out during the first 6-month period following its purchase are 1/8, what are the odds of it burning out during the period from 6months to 1 year following its purchase?
A person can row at 10 kmph in still water. If the velocity of the current is 2 kmph and it takes him 20 hour to row to a place and come back, how far is the place?
A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
Sachin was twice as old as Ajay 10 years back. How old is Ajay today if Sachin will be 40 years old 10 years hence
A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 10 minutes earlier. How far is the office from his house?
Two brothers take the same route to school on their bicycles, one gets to school in 25 minutes and the second one gets to school in 36 minutes. The ratio of their speeds is
A number whose fifth part increased by 5 is equal to its fourth part diminished by 5, is
In how many different ways can the letters of the word 'RUMOUR' be arranged?
Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?
A train is 460 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Find the distance covered by a man walking for 30min at a speed of 5km/hr?
90% of the population of a village is 45000. The total population of the village is?
A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
Find out the wrong number in the given sequence of numbers. 1, 2, 6, 15, 31, 56, 94
If f(x2 – 1) = x4 – 7x2 + k1 and f(x3 – 2) = x6 – 9x3 + k2 then the value of (k2 – k1) is _____
There are 9 books on a shelf that consist of 2 paperback books and 7 hardback books. If 4 books are selected at random without replacement, how many different combinations are there which include at least one paperback book?
The probability is 1/2 that a certain coin turns up heads on any given toss. If the coin is tossed three times, what is the probability that the coin turns up tails on at least one of the tosses?
Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next?
If y > 0, (10y)/20 + (3y)/10 is what percent of y?
The average weight of 16 pupils in a class is 50.25 kg and that of the remaining 8 pupils is 45.15 kg. Find the average weights of all the pupils in the class.
The speed of a boat in still water is 60kmph and the speed of the current is 10kmph. Find the speed downstream and upstream?
The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ?
From a pack of 52 cards, 1 card is drawn at random. Find the probability of a face card drawn.
In a partnership, A inverts 1/12 of the capital for 1/12 of the time, B invests 1/6 of the Capital for 1/6 of the time and C, the rest of the capital for the whole time. Out of a profit of Rs 113000/-, B’s share is :
Two roads XY and YZ of 15 metres and 20 metres length respectively are perpendicular to each other. What is the distance between X & Z by the shortest route?
The sum of two numbers is 25 and their difference is 15. Find their product.
For any positive integer n, n>1, thelengthof n is the number of positive primes (not necessary distinct) whose product is n. For ex, the length of 50 is 5, since 50=2x5x5. What is the greatest possible length of a positive integer less than 1000.
A is the average (arithmetic mean) of the first 7 positive multiples of 4 and B is the median of the first 3 positive multiples of positive integer n. If the value of A^2 – B^2 is zero, what is the value of n?
If x is to be chosen at random from the set {5,6,7,8} and y is to be chosen at random from the set {7,8,9}, what`s the probability that xy will be even?
If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?
If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?