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big_math_dataset

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A goods train leaves a station at a certain time and at a fixed speed. After ^hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train.
Ten people are planning to share equally the cost of a rental van. If one person withdraws from the arrangement and the others share equally the cost of the rental van, then the share of each of the remaining people will increase by...?
3+3.3+333+33.33=?
How many ways are there to select a subcommittee of 6 members from among a committee of 17?
A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Martha has 4 dogs and 4 cats. She takes each animal separately for a daily walk. She can take the animals for a walk to the park or to the barber shop. How many different options for a walk with a single animal does Martha have?
The fourth proportional to 3, 8, 18 is:
The length of a rectangular landscape is 4times its breadth. There is a playground in it whose area is 1200 square mtr & which is 1/3rd of the total landscape. What is the length of the landscape?
Simple interest on a certain sum of money for 3 years at 10% per annum is half the compound interest on Rs. 6500 for 2 years at 14% per annum. The sum placed on simple interest is
two houses of the same type were advertised to be let in a locality. Three men made separate applications for a house. What is the probability that each of them applied for the same house.
R is the set of positive odd integers less than 100, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain ?
If XY denotes X is raised to the power Y, Find the last two digits of 19413846+ 19614181
How many digits are in (8×10^14)(10×10^10)?
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Anthony and Cindy were each given X dollars in advance for each day they were expected to perform at a community festival. Anthony eventually performed on all 15 days of the festival, while Cindy performed on 5 fewer days than Anthony performed. If Cindy gives Anthony y dollars of her advance payment so that they would have each received the same daily rate, what was Anthony paid in advance, in terms of Y?
Last year Department Store X had a sales total for December that was 2 times the average (arithmetic mean) of the monthly sales totals for January through November. The sales total for December was what fraction of the sales total for the year?
The area of a rectangular field is equal to 750 square meters. Its perimeter is equal to 110 meters. Find the width of this rectangle.
A number is said to be a “digifac” if each of its digits is a factor of the number itself. What is the sum M of the missing digits of the following five-digit digifac: 9, 5, 3 _ _ ?
The food in a camp lasts for 35 men for 40 days. If ten more men join, how many days will the food last?
If an amount of Rs 42,240 is distributed equally amongst 22 persons, how much amount would each person get?
A 160 meter long train crosses a man standing on the platform in 18 sec. What is the speed of the train?
If negative integers k and p are NOT both even, which of the following must be odd?
Difference between the length &breadth of a rectangle is 30 m. If its perimeter is 300 m, then its area is?? We have: (l - b) = 30 and 2(l + b) = 300 or (l + b) = 150?
An athlete runs 200 metres race in 24 seconds. What is his speed?
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
A train crosses a bridge of length 2500 m in 120 seconds and a lamp post on the bridge in 30 seconds. What is the length of the train in metres ?
Tough and Tricky questions: Combinations. Eight students - 4 boys and 4 girls - are to sit side by side for a makeup exam. How many ways could they arrange themselves given that no two boys and no two girls can sit next to one another?
In what time will a railway train 60 m long moving at the rate of 54 kmph pass a telegraph post on its way?
A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?
A train 90 meters long completely crosses a 270-meter long bridge in 36 seconds. What is the speed of the train in km/h?
36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
In your classes you counted 122 hands. How many students were at the class?
The distance between West-Town to East-Town is 20 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 4 kilometers per minute and the second bird, leaving from East-Town, at a speed of 1 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town?
In how many different number of ways 4 boys and 2 girls can sit on a bench?
Two sides of a triangle have lengths x and w and meet at a right angle. If the perimeter of the triangle is 4x, what is the ratio of x to w ?
In how many ways, a committee of 10 members can be selected from 8 men and 6 ladies, consisting of 5men and 5 ladies?
Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 3 o’clock the faster train is 15 miles behind the slower one. How far apart are the two trains at 5 o'clock?
If m and n are whole numbers such that mn = 121, the value of (m – 1)n + 1 is:
What is the remainder when 123456789101112131415161718192021222324252627282930313233343536373839404142434481 is divided by 45?
Abel can complete a work in 8 days, Ben in 12 days and Carla in 15 days. All of them began the work together, but Abel had to leave after 2 days and Ben 3 days before the completion of the work. How long did the work last?
The diameter of a wheel of cycle is 21 cm. It moves slowly along a road. How far will it go in 500 revolutions?
The value of 1 + [1/(8 x 2)] + [1/(8 x 2²)] + [1/(8 x 2³)] is :
How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.714 find the share of A.
The average mark of a class of twenty five students is 66. If five students whose marks are 32,28, 30, 26 and 34 are removed , then find the average mark of the remaining students of the class.
If 40% of a number is 28, then the number is
A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?
In the city of San Durango, 90 people own cats, dogs, or rabbits. If 30 people owned cats, 30 owned dogs, 50 owned rabbits, and 14 owned exactly two of the three types of pet, how many people owned all three?
If the speed of X inch per second is equivalent to the speed of Y foot per hour, what is Y in terms of X? (1 foot =12 inch)
The two lines y=x and x=-7 intersect on the coordinate plane. What is the value of the area of the figure formed by the intersecting lines and the x-axis?
Which of the following is between 53/70 and 5/6?
What is the least number should be added to 1056, so the sum of the number is completely divisible by 28?
What will come in place of the question mark (?) in the following question? 112.36 + 225.05 + ? = 815.30
An amount of Rs. 65000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?
Ajith and Rana walk around a circular course 115 km in circumference, starting together from the same point. If they walk at speed of 4 and 5 kmph respectively, in the same direction, when will they meet ?
How much time will take for an amount of Rs. 360 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
In a family 7 children dont eat spinach, 6 dont eat carrot, 5 dont eat beans, 4 dont eat spinach & carrots, 3 dont eat carrot & beans, 2 dont eat beans & spinach. One doesnt eat all 3. Find the no. of children.
To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. Find how many parts the company made and how many days this took.
A boy has six trousers and 13 shirts. In how many different ways can he select a trouser and a shirt?
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
From a group of boys and girls, 15 girls leave. There are then left 2 boys for each girl. After this, 45 boys leave. There are then 5 girls for each boy. Find the number of girls in the beginning?
The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?
The perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
If two positive numbers are in the ratio 1/10 : 1/7, then by what percent is the second number more than the first?
How many integers between 100 and 180, inclusive, cannot be evenly divided by 3 nor 5?
Two digits number is divided by the product of their digit and the result is 3.now 18 is added to the number the digit will be inter changed. what is the number.
Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is
Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Two employees X and Y are paid a total of Rs. 800 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
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?
How many ltrs of water must beadded to 16ltrs of milk and water containing 10% water to make it 20% water in it?
If log12 27 = a, then log6 16 is:
The average age of a class of 12 students is 19 years. The average increased by 2 when the teacher's age also included. What is the age of the teacher?
A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?
For how many prime pairs (p, q) does there exist an integer n such that (p2 + 1)*(q2 + 1) = n2 + 1 ?
Each shelf of a bookcase contained 11 books. If the librarian took out 30 books and rearranged the remaining books so that all shelves but the last one contained 7 books and that last shelf contained 5 books, how many shelves does the bookcase have?
If k and y are integers, then ky(k + y) is
There are 6 boxes numbered 1, 2,...6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is
If (18^a) * 9^(3a – 1)= (2^3)(3^b) and a and b are positive integers, what is the value of a?
A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
If 40% of a number is equal to 2/3 of another number, what is the ratio of first number to the second number?
If n is the square of a positive integer, which of the following must be equal to the square of the next positive integer? .
A bag contains 5 red, 6 blue and 4 green balls. If 2 ballsare picked at random, what is the probability that both are red?
For a certain set of numbers, if x is in the set, then x - 2 is also in the set. If the number 1 is in the set , which of the following must also be in the set ? a) -4 b) -1 c) -5
Excluding stoppages, the speed of a bus is 64 kmph and including stoppages, it is 50 kmph. For how many minutes does the bus stop per hour?
A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?
If the price of a certain computer increased 30 percent from d dollars to 351 dollars, then 2d =
A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 21 liters of drink A to convert it to drink B?
A is half good a work man as B and together they finish a job in 10 days. In how many days working alone B finish the job?
If a town of 35,000 people is growing at a rate of approx. 1% per year, the population of the town in 5 years will be closest to?
We have a rectangular metallic piece of paper that covers exactly the area of a cube. The length of the piece of paper is 120 inches and the width is 108 inches. What is the volume of the cube in cubic feet is 1 feet is 12 inches?
A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 10% less than the price each head sold for the day before.what was the gross profit Q on this shipment?
Two unbiased coins are tossed. What is the probability of getting two heads?
If r is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of r ?
What is the total cost of 2 sandwiches at $2.45 each and 4 sodas at $0.87 each?
A,B,C can complete a piece of work in 3,9and 15 days respectively. Working together, they will complete the same work in how many days?
A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum?
What is the remainder when the number T=14^2 * 15^8 is divided by 5?
How many 2 digit number contain number 3 ?