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big_math_dataset

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There are 100 students in 3 sections A, B and C of a class. The average marks of all the three sections was 84. The average of B and C was 87.5 and the average marks of students in A section was?
A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit.
Meena wrote all the numbers from 1 to 39,999 inclusive. How many digits did she write in total?
How many different 3 letter combinations can be created from the letters X,Y and Z?
Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?
A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits $ 1600 each on 1stJanuary and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:
Sides of a rectangular park are in the ratio 3: 2 and its area is 2400 sq m, the cost of fencing it at 50 ps per meter is?
Pipes A and B can fill a tank in 5 and 6 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
The difference of two numbers is 1335. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 3H, which of the following represents the amount that Roberta paid?
The average (arithmetic mean) of the even integers from 20 to 60 inclusive is how much greater than the average (arithmetic mean) of the even integers from 10 to 140 inclusive?
A train is 360 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 missing value: ? - 1936248 = 1635773
List I: { y, 2, 4, 7, 10, 11} List II: {3, 3, 4, 6, 7, 10} If the median R of List I is equal to the sum of the median of list II and the mode of list II, then y equals
The average marks obtained by 120 cndidates in a certainexaminationis 35.if the average marks of passed candidate is 39 and that of the failedcandidates is 15,what is the number of candidates who passed the examination
Suppose you want to buy three loaves of bread that cost $0.50 each and a jar of peanut butter that costs $6. A jar of jelly is $2.75, but you don’t need any jelly. You have $12. How much money will you have left over?
An exporter expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
A statue is being carved by a sculptor. The original piece of marble weighed 190 kg. In the first week 25 percent is cut away. In the second week 15 percent of the remainder is cut away. In the third week the statue is completed when 10 percent of the remainder is cut away. What is the weight of the final statue?
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 884 in 4 years. The sum is:
Of the following quadratic equations, which is the one whose roots are 2 and – 15 ?
Six students are equally divided into 3 groups, then, the three groups were assigned to three different topics. How many different arrangements X are possible?
1, 1, 2, 1, 2, 3, 1, 2, 3, 4, 1, 2,__ ?
The ratio between the perimeter and the width of a rectangle is 5:1. If the area of the rectangle is 150 square centimeters, what is the length of the rectangle in centimeters?
Length of a rectangular plot is 22 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
Given x = 20o, what is the value of log5(tan x)-log5(sin x)+log5(cos x)?
When a positive integer A is divided by 5 and 11, the remainders obtained are 3 and 4, respectively. When the positive integer B is divided by 5 and 11, the remainders obtained are 3 and 4, respectively. Which of the following is a factor of (A - B)?
Salaries of Ranjani and Sudha are in the ratio 2:3. If the salary of each in increased by Rs.4000, the new ratio becomes 40:57. What is the Sudha's present salary?
A boatman rows 96 km downstream in 8 hours with a stream speed of 4kmph. How much time will he take to cover 8km upstream?
The sum of the two digits of a number is 10. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number?
The line Z represented by which of the following equation does not intersect with the line represented by y = 3x^2+5x+1
Mr. Evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. If Mr. Evans has 4 children and 5 grandchildren, then approximately what percentage of Mr. Evans estate wil...
The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.12000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is
Ross is 20 years older than his daughter Julie. In 5 years Ross will be twice as old as Julie. What is Julies current age.
How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ?
A tank can supply water to a village for 20 days. If a leak at the bottom of the tank drains out 10 liters per day, the supply lasts for 15 days only. For how many days will the supply last if the leak drains out 20 liters per day?
The price of a certain painting increased by 30% during the first year and decreased by 15% during the second year. The price of the painting at the end of the 2-year period was what percent of the original price?
Divide $600 among A,B in the ratio 1:2. How many $ that A get?
Vanya prepared 4 different letters to 4 different addresses. For each letter, she prepared one envelope with its correct address. If the 4 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?
At a certain high school, the senior class is twice the size of the junior class. If 1/8 of the seniors and 3/4 of the juniors study Japanese, what fraction of the students in both classes study Japanese?
The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
The height of a triangle is decreased by 25% and its base increased by 40%. Its area will
Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. If the faster train passes the slower train in 36 seconds,what is the length of each train?
A fruit seller had some Mangoes. He sells 60% and still has 20 apples. Originally, he had ?
5 persons A,B,C,D and E occupy seats in a row at random. What is the probability that A and B sit next to each other ?
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent of solution B. If 200 grams of solution A are mixed with 700 grams of solution B, then liquid X accounts for what percent of the weight of the resulting solution?
The Delhi Express runs @ 144 kilometers per hours and it reaches destination 20 minute ahead of schedule. If it averages 100 km/hour, it reaches 24 minute behind schedule. What is the average speed it should maintain in order to reach the destination on schedule?
At what price must an Book costing $47.50 be marked in order that after deducting 20% from the list price. It may be sold at a profit of 25% on the cost price?
At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?
Calculate the value of 4.54 x 10^5 ?
The expression uv+u is odd when the u and v are integers. Which of the following expressions must be even?
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
Two vessels contains equal number of mixtures milk and water in the ratio 8:2 and 9:1. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained?
A can do a work in 6 days. B can do the same work in 8 days. Both A&B together will finish the work and they got $1000 from that work. Find their shares?
Randy'sbar serves customers every weeknight from 5 pm to 1 am. In Randy's bar,Silvermoonbeer is sold at a constant rate except during happy hour, from 6:30 to 9:30 pm, when the rate triples. If a keg of Silvermoon beer is half empty at 5pm on Monday, and two-thirds empty at the beginning of the happy hour, when will it...
196, 144, 100, 64, 36, ?
A person covered one-fourth of the total distance at 20 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
The sides of a rectangular field are in the ratio 3 : 4. If the area of the field is 10800 sq. m, the cost of fencing the field @ 25 paise per metre is
Find the fourth proportion to 12,3,6
In one year, the population, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the population was 7920, what was it in the beginning?
In Town X, 64 percent of the population are employed, and 49 percent of the population are employed males. What percent of the employed people in Town X are females?
How many numbers can be formed with the digits 1, 6, 7, 8, 6, 1 so that the odd digits always occupy the odd places
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of C?
A farmer used 1,034 acres of land for beans, wheat, and corn in the ratio of 5 : 2 : 4, respectively. How many R acres were used for corn?
2, 4, 6, 8, 10, ?
The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?
If it is 5:27 in the evening on a certain day, what time in the morning was it exactly 2,880,717 minutes earlier? (Assume standard time in one location.)
If (1 – 1.25)N = 4, then N =
Three pieces of timber 24 m, 28 m and 36 m long have to be divided into planks of the same length, What is the greatest possible length of each plank ?
Line Q has the equation 5y – 3x = 15. If Line S is perpendicular to Q, has an integer for its y-intercept, and intersects Q in the second quadrant, then how many possible Line S’s exist? (Note: Intersections on one of the axes do not count.)
Today is Saturday. After 72 days, it will be:
In western Europe, G bicycles were sold in each of the years 1990 and 1993. The bicycle producers of Western Europe had a 42 percent share of this market in 1990 and a 33 percent share in 1993. Which of the following represents the decrease in the annual number of bicycles produced and sold in Western Europe from 1990 ...
Rectangular Floors X and Y have equal area. If Floor X is 16 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?
When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?
Two pipes A and B can fill a tank in 4 and 12 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
John can hit a target 3times in 6shots, Karan can hit the target 2 times in 6 shots & Ashwini can hit 4 times in 4 shots. What is the probability that at least 2 shots hit the target ?
A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of w square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches)
The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
The banker's discount on Rs.1250 due a certain time hence is Rs.125. Find the true discount and the banker's gain.
The cost price of a radio is Rs.1500 and it was sold for Rs.1200, find the loss %?
Jancy decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. If Jancy s savings by the end of the year from these monthly savings were five times the amount she spent per month, what should be the fraction of her salary that she spent each month?
Find the area of a parallelogram with base 24 cm and height 16 cm?
A departmental store has 7 managers and 30 associates. The 7 managers have an average salary of $4200. The 30 associates have an average salary of $6,000. What is the average salary for the departmental store?
If x > y and y > z, which of the following represents the greatest number Q?
If W persons take y days to complete z similar jobs, how long does it take y persons to complete 1 such job?
The tax on a commodity is diminished by 17% and its consumption increased by 15%. The effect on revenue is?
What is the sum Q of all 3 digit numbers that leave a remainder of '2' when divided by 3?
Hari purchased 6 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
4, 12, 48, 240, 1440,10080,80640, 725760(...)
In a lottery, there are 12 prizes and 30 blanks. A lottery is drawn at random. What is the probability of getting a prize?
From a group of 3 CATS and 3 DOGS, 4 animals are to be randomly selected. What is the probability that equal numbers of cats and dogs will be selected?
In the Land of Oz only one or two-letter words are used. The local language has 68 different letters. The parliament decided to forbid the use of the seventh letter. How many words have the people of Oz lost because of the prohibition?
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 3 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
HDFC bank offers an interest of 5% per annum compounded annually on all its deposits. If $10,000 is deposited, what will be the ratio of the interest earned in the 4th year to the interest earned in the 5th year?
X, Y, and Z are consecutive numbers and X > Y > Z. Also, 2X + 3Y + 3Z = 5Y + 8. What is the value of Z?
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
2034 - (1002 / 20.04) = ?
George does 3/5th of a piece of work in 9 days. He then calls in Paul , and they finish the work in 4 days. How long would Paul take to do the work by himself?
mr. depak has $419,774 in his bank account. What is the least amount of money (in whole number of dollars) that he must add to his account if he wants to split this money evenly among her six best friends? Options: