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big_math_dataset

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Arun went for a movie nine days ago. He goes to watch movies only on Thursdays. What day of the week is today?
A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:
There are 11 teams in a soccer league and each team plays each of the other teams once. How many games will be played in total?
200 is increased by 25%. Find the final number.
In a graduating class of 232 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number T and the smallest possible number of students that could have taken both geometry and biology?
Consider a quarter of a circle of radius 81. Let r be the radius of the circle inscribed in this quarter of a circle. Find r.
Lamp A flashes every 6 seconds, Lamp B flashes every 8 seconds, Lamp C flashes every 10 seconds. At a certain instant of time all three lamps flash simultaneously. During the period of 6 minutes after that how many times will exactly two lamps flash? (Please include any flash of exactly two lights which occurs at the 6...
The price of a jacket is reduced by 20%. During a special sale the price of the jacket is reduced another 25%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
If Rs.3250 be divided among Ram, Shyam and Mohan in the ratio of 1/2:1/3:1/4 then the share of each are?
If S = {50, 72, 108, 120, 205}, how much less is the mean of the numbers in S than the median of the numbers in S?
A man can row 8 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man?
If X and Y are sets of integers, X # Y denotes the set of integers that belong to set X or set Y, but not both. If X consists of 16 integers, Y consists of 18 integers, and 6 of the integers are in both X and Y, then X # Y consists of how many integers?
The area of a rectangle is x2 + 4x -12. What are the dimensions of the rectangle (length and width)?
Pipes A and B can fill a tank in 8 and 24 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:
A straight pipe 3 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?
4211.01 + 22.261 - ? = 2645.759
A number when divided by 243 gives a remainder 26, what remainder will be obtained by dividing the same number 14?
What percent of a day is 4 hours?
A can do a piece of work n 7 days of 9 hours each and B alone can do it in 6 days of 7 hours each. How long will they take to do it working together 8 2/5 hours a day?
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?
A no.when divided by 221 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
A man has Rs. 544 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 ?
A and B started a business. A invests rs.6000 and b invests rs.8000 after 6 months c joined them with rs.6000 but b left with the capital.after one year they get a profit of rs.2600.the share of A is?
In a covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay double his speed, then he would take 1 hour less than Sammer. Abhay's speed is?
In Country Q, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemploye...
A certain college's enrollment at the beginning of 1992 was 30 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 10 percent greater than it was at the beginning of 1992. The college's enrollment at the beginning of 1993 was what percent greater than its enrollment at ...
Ice-ColdIce-cream factory produces only tricolor ice-cream products, where each ice-cream has three stripes of different colors. The factory uses the colors yellow, purple, orange, silver, blue and red. How many different ice-cream products have at least one stripe out of the following colors: yellow, purple or orange ...
Four years ago, the ratio of ages of P and Q was 5:3. Ten years from now, the ratio of their ages will be 6:5. What is P's age at present?
Complete the sequence: C E I O ?
Rose's grade was 70th percentile of the 60 grades for her class. Of the 40 grades from another class, 16 were higher than Rose's, and the rest were lower. If no other grade was the same as Rose's grade, then Rose's grade was what percentile of the grades of the two classes of two classes combined?
The “a-number” of a number x is defined as the ones digit of 2^x. Antony rolls a die with 6 sides labeled with the integers from 1 to 6, each of which has an equal probability of landing face-up. He then takes 3^a, where a is the a-number of the result of his die roll, and plots 3^a on a number line as the point A. Fin...
A present value of a machine is $800. Its value depletion rate is 10% per annum then find the machine value after 2 years?
If p and r are integers, and p^2 = 24r, then r must be divisible by which of the following?
A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, 20 balls per box. If 76 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?
Ele, the circus Elephant, is currently three times older than Lyn, the circus Lion. In 15 years from now, Lyn the circus Lion will be exactly half as old as Ele, the circus Elephant. How old is Ele today?
Without any stoppage, a person travels a certain distance at an average speed of 42 km/h, and with stoppages he covers the same distance at an average speed of 28 km/h. How many minutes per hour does he stop?
Two wheels are connected via a conveyor belt. The larger wheel has a 40cm diameter and the smaller wheel has a 24cm diameter. In order for the conveyor belt to work smoothly, each wheel must rotate the exact same number of centimetres per minute. If the larger wheel makes r revolution per minute, how many revolutions d...
If difference between compound interest and simple interest on a sum at 10% P.a. for 2 years is Rs.150 then sum is
A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Three 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:
1200 men have provisions for 18 days. If 450 more men join them, for how many days will the provisions last now?
If a+b+c=13, a2+b2+c2=69, then find ab+bc+ca
The letters E,A,W,D,S and R are rearranged to form the word 'Rewads'. Find its probability.
Each shelf of a bookcase contained 11 books. If the librarian took out 21 books and rearranged the remaining books so that all shelves but one contained 8 books and the last shelf contained 11 books, how many shelves does the bookcase have?
A square carpet with an area 169 m2 must have 2 metres cut-off one of its edges in order to be a perfect fit for a rectangular room. What is the area of rectangular room?
One-third less than 20% of 180 is equal to:
Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on $4000 for 2 years at 10% per annum. The sum placed on simple interest is:
Average monthly income of a family of 4 earning members was Rs. 782. One of the earning members died and therefore, the average income came down to Rs 650. The income of the deceased was?
At the start of the fall shopping season, a pair of boots cost $700. By the end of the season, the price was reduced to $420. If you waited to purchase the boots at the lower price, what percentage of the original price will you have paid?
Factor: 5x2 – 15x – 20.
with the digits 1,2,3,4,5,6 make all 6 digit nos which r not divisible by 5. The no of such 6 digit no's is ?
Find the area of circle whose radius is 21m?
Average age of boys in a class is 16 years and average age of girls is 15 years, what is the average age of all
A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:2, and the ratio of soap to salt is six times this ratio. The solution is poured into an open container, and after some time, the ratio of water to soap in the open container is halved by water evaporation. At that time, what...
In case R is the only individual sewing on committee B, which among the following shouldserve on committee A?
An unbiased die is tossed. Find the probability of getting a multiple of 6
Ravish has to secure 40% marks to clear his board exam of class 10th. He got 40 marks and failed by 40 marks. What is the maximum marks ?
At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 4/7 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
In the new budget, the price of rice rose by 20%. By how much percent must a common man reduce his consumption so that his expenditure on it does not increase?
A tank contains 8,000 gallons of a solution that is 4 percent sodium chloride by volume. If 3,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
A and B start a business with Rs.3000 and Rs.9000 respectively. Hoe should they share their profits at the end of one year?
Car A runs at the speed of 65km/hr & reaches its destination in 5hr. Car B runs at the speed of 70 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B?
What is the ratio between perimeters of two squares one having 7 times the diagonal then the other?
Its a very poor village so sahara group organized a beneficiary cricket match for these people. The event raised Rs300000. Tickets were priced as follows: Rs 748 for males Rs 712 for ladies Rs 45 for kids How many males,ladies and kids were there ?
At what rate percent on simple interest will Rs.750 amount to Rs.1200 in 5 years?
If each term in the sum a1+a2+a3+.....+an is either 7 or 77 and the sum equals 350, which of the following could be equal to n?
Best friends Sprite and Icey have are playing a game of marbles. They invite 4 of their friends to play with them. There are 36 marbles in the bag. If all 6 people are playing, how many marbles does each person get?
Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is:
(1^2+2^2+3^2+.....+9^2)=?
Arya starts cycling along the boundaries of the squares. She starts from a point A and after 90 minutes she reached to point C diagonally opposite to A. If she is travelling with 24km/hr, then find the area of square field.
Jill has 7 gallons of water stored in quart, half-gallon, and one gallon jars. She has equal numbers of each size jar holding the liquid. What is the total number of water filled jars?
When a certain number X is divided by 95, the remainder is 31. What is the remainder when X is divided by 19?
The lowest number which should be added to 5915 so that the sum is exactly divisible by 3, 5, 8 and 7 is:
(166)^2 - (167)^2 =
Ajay spends 20 per cent of his salary on house rent, 5 percent on food, 15 percent travel, 10 percent on clothes and the remaining amount of Rs.27000 is saved. What is Ajay’s income?
In a certain lottery drawing, two balls are selected at random from a container with 30 balls, numbered from 1 to 30, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cas...
Of the 350 people attending a conference, 150 have signed up for the Marketing workshop and 320 have signed up for the Accounting workshop. If 60 of the people attending did not sign up for either workshop, then the number of people who signed up for both the Marketing and the Accounting workshops is:
Average of 10 matches is 34, How many runs one should should score to increase his average by 4 runs.
John makes $65 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Zachary is helping his younger brother, Sterling, learn his multiplication tables. For every question that Sterling answers correctly, Zachary gives him 3 pieces of candy. For every question that Sterling answers incorrectly, Zachary takes away two pieces of candy. After 6 questions, if Sterling had answered 2 more que...
How many cubes of 8cm edge can be cut out of a cube of 16cm edge
If Y < X and XM > YM, what must be true?
A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 12 : 1 ?
The average age of boys in a class is 16 years and that of the girls is 15 years. What is the average age for the whole class?
A copy machine, working at a constant rate, makes 35 copies per minute. A second copy machine, working at a constant rate, makes 75 copies per minute. Working together at their respective rates, how many copies do the two machines make in half an hour ?
What is the sum of the integers from -90 to 95, inclusive?
If 96 is divided into four parts proportional to 5, 7, 4, 8 then the smallest part is :
Find the lowest common multiple of 10, 14 and 20.
The ratio 4:20 expressed as percent equals to
What do you get if you add 3 to 300 five times?
Three days ago, yesterday was the day before Sunday. What day will it be tomorrow?
Which one of the following can't be the square of natural number ?
Car A runs at the speed of 65km/hr & reaches its destination in 8hr. Car B runs at the speed of 75 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B?
The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is ?
A farmer has 100337 seeds to plant throughout 9 acres. To evenly distribute the seeds, how many would he need to remove?
Which of the following integers is a divisor of(15!+15)?
At a certain university, 7 students from the 10-student history department and 5 students from the 7-student English department will be selected to form a 12-student committee. At a neighboring university, 2 students from a 10-person math department and 3 students from a 7-student science department will be selected to...
The speed of a boat in upstream is 45 kmph and the speed of the boat downstream is 95 kmph. Find the speed of the boat in still water and the speed of the stream?
How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}