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big_math_dataset

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In how many ways can the letters of the english alphabet be arranged so that there are seven letter between the letters A and B, and no letter is repeated
A train 600 m long can cross an electric pole in 20 sec and then find the speed of the train?
The amount of principal Rs.8000 at compound interest at the ratio of 5% p.a. for 1 year is
The equation (M )/42 = (p – 7)/21 relates two temperature scales, where M is the number of degrees on one scale and P is the number of degrees on the other scale. Which of the following equations can be used to convert temperatures from the P scale to the M scale?
If 2^5, 4^3, and 13^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w?
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is?
If 9/(5 + 3/x) = 1, then x =
In how many ways can the integer 15 be expressed as a product of two different positive integers?
The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 62 with him, what was the average amount with the group before his joining the group?
A train , 800 meter long is running with a speed of 78 km/hr. It crosses a tunnel in 1 minute. What is the length of the tunnel (in meters)?
The diagonals of two squares are in the ratio of 3:7 then find the ratio of its areas?
The volume of a cube is 2197 cc. Find its surface.
2, 4, 3, 6, ?, ?, 9, 18, ?, ?, 33.
An error 4% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
If k^3 is divisible by 1620, what is the least possible value of integer k?
What is the sum of the greatest common factor and the lowest common multiple of 48 and 72?
40 % of 2 is equal to
What will come in place of the x in the following Number series? 73205, 6655, 605, 55, x
0.8 x 0.35=?
In a class, there are 24 boys whose ages is decreased by 4 months, when one boy aged 20 years is replaced by a new boy. Find the age of the new boy.
Acording to a military code, SYSTEM is SYSMET and NEARER is AENRER. What is the code for FRACTION ?
The price of pulses has fallen by 30%. How many quintals can be bought for the same amount which was sufficient to buy 12 quintals at the higher price?
A dog takes 3 leaps for every 7 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
Vijay lent out an amount Rs. 10000 into two parts, one at 8% p.a. and the remaining at 10% p.a. both on simple interest. At the end of the year he received Rs. 890 as total interest. What was the amount he lent out at 8% pa.a?
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 45 chose brand C. Which of the following could be the number of customers who preferred brand D?
If John has earned 350 dollars by working 2 hrs/day a week at a constant daily rate for 5 weeks, which of the following represents his daily wage?
In an increasing sequence of 10 consecutive integers, the sum of the first 5 integers is 545. What is the sum of the last 5 integers in the sequence?
In the xy-plane the point (-2 -3) is the centre of a circle, the point (-2, 3) lies inside the circle and the point (6,-3) lies outside the circle. If the radius r of the circle r is an integer then r=
If the sides of a triangle are 4 cm, 9 cm and 13 cm, what is its area?
A cube has five of its faces painted half red and half white. The other face is completely painted white. What is the ratio between the red painted areas and the white painted areas of the cube?
The smallest value of n, for which n+2 is not a prime number, is
The average age of 40 students in a class is 10years. If teacher's age is also included then average increases 1year then find the teacher's age?
Sequence Q consists of 16 consecutive integers. If -6 is the least integer in sequence Q, what is the range of the positive integers in sequence Q?
Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?
How many digits 2^400 has?
The reciprocal of the hcf and lcm of two are 1/14 and 1/312 .if one of the number is 24 then other no. is
On a test consisting of 30 questions. No. of wrong answers is 50% less than number of right answers. Each answer was either right or wrong. What is the ratio of right answers to wrong answers?
A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work ?
If xy not equal 0 and x^2*y^2 -xy =30, which of the following could be y in terms of x? I. 1/2x II. -6/x III. 5/x
An amount at compound interest sums to Rs.17640/- in 2 years and to Rs.22932/- in 3 years at the same rate of interest. Find the rate percentage?
A goods train runs at a speed of 72 kmph and crosses a 290 m long platform in 26 seconds.What is the length of the goods train?
How many numbers are there between 100 and 1000 such that at least one of their digits is 6?
Nancy obtained 66, 75, 52, 68 and 89 marks (out of 100) in American Literature, History, Home Economics, Physical Education and Art. Calculate her average marks ?
The jogging track in a sports complex is 726 m in circumference. Suresh and his wife start from the same point and walk in opposite direction at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in:
Rs.100 amounts to Rs.320 in 4 years at simple interest. If the interest is increased by 3%, it would amount to how much?
A circular ground whose diameter is 40 metres, has a garden of area 1100m^2around it. What is the wide of the path of the garden ?
what is rate of interest if principal.amount be 400,simple interest 140 and time 2year.
A prize of $400 is to be distributed among 20 winners, each of whom must be awarded at least $20. If 2/5 of the prize will be distributed to 3/5 of the winners, what is the greatest possible individual award?
For an integer n greater than 1, n* denotes the product of all the integers from 1 to n inclusive. How many prime numbers are there between 6*+3 and 6*+6, inclusive ?
Two trains, each 120 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Three unbiased coins are tossed, what is the probability of geƫng at least 2 tails ?
In a neighborhood having 90 households, 11 did not have either a car or a bike. If 20 households had a both a car and a bike and 44 had a car, how many had bike only?
Find the sum of the local value and absolute value of 4 in 564823
A team scored a total of 140 points. If each player on the team scored at least 14 points, then what is the greatest possible number of players on the team?
The length of the bridge, which a train 180 meters long and travelling at 48 km/hr can cross in 70 seconds, is:
When positive integer m is divided by positive integer x, the reminder is 7 and when positive integer n is divided by positive integer y, the reminder is 11. Which of the following Q is a possible value for x + y? I. 18 II. 19 III. 20
Two heavily loaded sixteen-wheeler transport trucks are 1025 kilometers apart, sitting at two rest stops on opposite sides of the same highway. Driver A begins heading down the highway driving at an average speed of 90 kilometers per hour. Exactly one hour later, Driver B starts down the highway toward Driver A, maintaining an average speed of 80 kilometers per hour. How many kilometers farther than Driver B, will Driver A have driven when they meet and pass each other on the highway?
If x < 0 and 0 < y < 1, which of the following has the greatest value L?
The current birth rate per thousand is 52, where as corresponding death rate is 11 per thousand. The net growth rate in terms of population increase in percent is given by?
Huey's Hip Pizza sells two sizes of square pizzas: a small pizza that measures 9 inches on a side and costs $10, and a large pizza that measures 14 inches on a side and costs $20. If two friends go to Huey's with $30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone?
There are 6 girls and 6 boys. If they are to be seated in a row, what is the probability that no two boys sit together?
A fill pipe can fill 1/4 of cistern in 16 minutes. In how many minutes, it can fill 3/4 of the cistern?
Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit?
Calculate the HCF of 16, 108, 220
Each of the 39 points is placed either inside or on the surface of a perfect sphere. If 72% or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere?
Sum of the digits number is 8 and their product is 12. Find the difference between the digits?
If sequence T is defined for all positive integers n such that t(n +1) = t(n) + n, and t 3 = 14, what is t 25?
The length of the bridge, which a train 120 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
If Aaron is now twice as old as Bailey was 5 years ago, and B is Bailey's current age in years, which of the following represents the sum of Aaron and Bailey's ages 4 years from now?
Find the least number which when divided by 20,25,35 and 40 leaves remainders 14,19,29 and 34 respectively.
present ages of sameer and anand are in the ratio of 5:4 respectively. three years hence, the ratio of their ages will become 11:9 respectively . what anand's present age in years
Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 4 to 1, what is the ratio of US to British stamps?
A wooden cube whose edge length is 6 inches is composed of smaller cubes with edge lengths of one inch. The outside surface of the large cube is painted red and then it is split up into its smaller cubes. If one cube is randomly selected from the small cubes, what is the probability that the cube will have at least one red face?
Two twins sisters Sita and Geeta were standing back to back and suddenly they started running in opposite directions for 2 km each. Then they turned left and ran for another 1.5 km. What is the distance (in kilometers) between the the two twins when they stop?
A wheel rotates 10 times every minute and moves 10 cm during each rotation. How many metres does the wheel move in one hour?
A person travels equal distances with speeds of 4km/hr, 8km/hr, 12km/hr. and takes a total time of 11 minutes. Find the total distance ?
If x > y^3 > z^4, which of the following statements could be true? I. x>y>z II. x>z III.y=z
A local restaurant recently renovated its dining space, purchasing new tables and chairs to use in addition to the original tables and chairs. The new tables each seat six customers, while the original tables each seat four customers. Altogether, the restaurant now has 40 tables and is capable of seating 206 customers. How many more new tables than original tables does the restaurant have?
what is the angle between the hands of a clock when time is 8:30?
If the price of an article went up by 20%, then by what percent should it be brought down to bring it back to its original price?
In a camp,there is a meal for 120 men or 200 children.If 160 children have taken the meal,how many men will be catered to with the remaining meal ?
Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
If the perimeter and diagonal of a rectangle are 14 and 5 cms respectively, find its area.
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
An empty fuel tank is filled with brand Z gasoline. When the tank is half 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 Q of the gasoline in the tank is brand Z?
If a, b are integers and |a-b|=14, which of the following is the smallest possible value of ab?
The age of father 4 years ago was four times the age of his son. Five years hence, father's age will be twice that of his son. The ratio of their present ages is:
Mrs. Rodger got a weekly raise of $155. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
When 242 is divided by a certain divisor the remainder obtained is 12. When 698 is divided by the same divisor the remainder obtained is 16. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 10. What is the value of the divisor?
10 women can complete a work in 5 days and 10 children take 10 days to complete the work. How many days will 5 women and 10 children take to complete the work?
Molly is rolling a number cube with faces numbered 1 to 6 repeatedly. When she receives a 1, she will stop rolling the cube. What is the probability that Molly will roll the die less than 3 times before stopping?
Find at what time between 8 and 9 o'clock will the hands of a clock be in the same straight line but not together ?
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?
A man takes 5 hours 45 min in walking to a certain place and riding back. He would have gained 2 hours by riding both ways. The time he would take to walk both ways is
An advertising agency finds that, of its 105 clients, 115 use Television, 110 use Radio and 130 use Magazines. Also, 85 use Television and Magazines, 75 use Television and Radio, 95 use Radio and Magazines. How many use all the three?
In a certain year, the population of a certain town was 9000. If in the next year the population of males increases by 2% and that of the females by 8% and the total population increases to 9600, then what was the ratio of population of males and females in that given year?
If the price of gasoline increases by 25% and Ron intends to spend only 15% more on gasoline, by how much percent should he reduce the quantity of gasoline that he buys?
P and Q started a business investing Rs. 48,000 and Rs. 24,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
If p and q are positive integers, which of the following can never be the greatest common divisor of 48p and 18q?