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big_math_dataset

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The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 16%, then the cost price of the article is:
Find the value of e from (14)^2 x 5^3 ÷ 568 = e.
In how many ways can the letters of the word 'LEADER' be arranged?
Evaluate:58- 12*3*2 =?
A spike is hammered into a train rail. You are standing at the other end of the rail. You hear the sound of the hammer strike both through the air and through the rail itself. These sounds arrive at your point six seconds apart. You know that sound travels through air at 1100 feet per second and through steel at 16,500...
How many positive factors of 42 are not factors of 56?
The total of 334 of 20 paise and 25 paise make a sum of Rs. 71. The no of 20 paise coins is
The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
The average (arithmetic mean) of four different positive integers is 15. If the first of these integers in 3 times the second integer and the second integer is 2 less than the third integer, what is the least possible value of the fourth integer?
Country X imported approximately $1.20 billion of goods in 1996. If Country X imported $288 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year, by how much would Country Xs 1997 imports exceed those of 1996?
What is the maximum number of pieces of birthday cake of size 2” by 2” that can be cut from a cake 20” by 20”?
How many litres of pure salt are there in 12 litres of a 25% solution?
A fair price shopkeeper takes 10% profit on his goods. He lost 20% goods during theft. His loss percent is:
present ages of A and B are in the ratio of 5:4 respectively. 5 years ago, the ratio of their ages was 4:3 respectively . what A's age in 5 year ago in years?
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
In the formula V = (2r)^4, if r is halved, then V is multiplied by?
A mixture of 180 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
If equation |x/2| + |y/2| = 2 encloses a certain region on the coordinate plane, what is the area of this region?
If two positive numbers are in the ratio 1/7 : 1/5, then by what percent is the second number more than the first?
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?
The difference between the place value and the face value of 4 in the numeral 854973 is
What is the probability of rolling three six-sided dice, and getting a different number on each die?
A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 60 minutes. When both pipes are opened, find when the cistern will be full?
In a survey about potential presidential candidates A and B, 35% of the public like A and 53% like B. If the percentage of the public who like one candidate only is twice the percentage of the public who like both candidates, then what is the percentage of the public that like neither?
In a set of three numbers,the difference between the largest and the second largest numbers is added to the smallest number.The average of the largest,second largest and the new number formed exceeds the average of the original three numbers by 8.The largest number exceeds the second largest number by how much ?
A student completes a 3 part exam as follows. The student completes sections A in 6 minutes and takes an equal time to complete the two remaining sections. What is the ratio of time spent on section C to section A if the total duration is 1 hour?
Average of six numbers comes out to be 3.95. Average of two of the numbers is 3.4 while the average of other two is 3.85. Determine the average of the two numbers left.
How much time will it take for an amount of Rs. 900 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
If x > 0, x/50 + x/5 is what percent of x?
The salary of a person was reduced by 20%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?
Bob can fill Q cans of water in 5 minutes. If there are R cans of water in one gallon, how many gallons can Bob fill in 55 minutes?
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?
What inequality represents the condition 1<x<11?
5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?
Ramanujan buys an old scooter for Rs. 5400 and spends Rs. 600 on its repairs. If he sells the scooter for Rs. 6600, his gain percent is :
If a: b = 7: 5, b: c = 9: 11, find a: b: c?
What is the sum of the digits of integer k, if k = (10^40- 46)
There are 5 physics books and 1 chemistry book on shelf P and 3 physics books on shelf Q. One book is moved from shelf P to shelf Q. A student picks up a book from shelf Q. What is the probability that the chemistry book is taken by the student?
In a game of 80 points; A can give B 5 points and C 15 points. Then how many points B can give C in a game of 60 ?
Of the following values of n, the value of (-1/5 )^(-n) will be greatest for n =?
Meg and Bob are among the 8 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob?
The average of 15 numbers is calculated as 20. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
The initial price of an article is Rs.6000 which increases 40% increse in its price in the first year,a 20% decrease in the second year and a 20% increase in the next year. What is the final price of the article ?
If the first day of a year (other than leap year) was Monday, then which was the last day of that year?
Which of the following numbers completes the sequence 3, 8, 14, 21, 29, ___?
A, B and C shared profits in ratio of 9 : 7 : 8. Theypartnered for 14months, 8months and 7months respectively. What was he ratio of their investments ?
A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
A garrison of 300 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
If 5400 mn = k^4, where m, n, and k are positive integers, what is the least possible value of 5m + n?
The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned?
In a company of 170 employees, 110 are females. A total of 80 employees have advanced degrees and the rest have a college degree only. If 25 employees are males with college degree only, how many employees are females with advanced degrees?
Car Dealership X, the total profit from sales increased by 12 percent over the previous years, while the number of cars sold decreased by 12 percent over the previous years. Approximately what was the average percent increase in profit per car over the previous year.
The number of sailors on a ship is 50% more than the number of officers. The ratio of sailors to officers would be
Two pipes A and B fill at a certain rate.B is filled at 10,20,40,80(10 in 1 hour,20 in 2 hours,40 in 3 hrs and so on). if 1/16 of B is filled in 17 hrs,what time it will take to get completely filled?
How many days per calendar year is the month a factor of the day
A car mechanic purchased four old cars for Rs. 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. what is the average sale price of the rest three cars to get 60% total profit if he has already sold one of the four cars at Rs. 1.2 lakh?
A person travels equal distances with speeds of 3km/hr, 4km/hr, 5km/hr. and takes a total time of 47minutes. Find the total distance ?
The arithmetic mean of set M is zero. If N = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of M consisting of all those elements in M which are more than two but less than three standard deviations away from the arithmetic mean of M, what could be equal to the standard deviation of M?
If the price of a computer were reduced by 14 percent, which of the following could not be the final price of the computer? (Assume initial price to be integer in cents)
Gary started driving at 9:00 am from city A towards city B at a rate of 50 mph. At a rate that is 15 mph higher than Gary's, Thomas started driving at the same time as John from city B towards city A. If Gary and Thomas crossed each other at 11 am, what is the distance beween the two cities?
Tim and Tom are workers in a department that has a total of 9 employees. Their boss decides that two workers from the department will be picked at random to participate in a company interview. What is the probability that both Jim and John are chosen?
If the number of white balls in a box are 6 times the black balls, which of the below is the total number of balls, if there are 8 black balls in the box?
There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Train X and train Y pass one another traveling in opposite directions. Sixty minutes later they are 100 miles apart. If train X’s constant speed is 30 miles per hour greater than train Y’s, how far does train X travel during that time?
Sam bought 50 candles and 3 lighters costing 2 dollars each. How was Sam's total?
2 identical circles intersect so that their centre and point at which they intersect form a square of 1 cm.the area of portion that is common two circles is 4
In the first week of last month, Company X realized an average wholesale profit of $1428 per day from the sale of q units of Product Y. Which of the following CANNOT be the difference between Product Y’s sale price and cost per unit?
Ritesh and Co. generated revenue of Rs. 1,500 in 2006. This was 12.5% of its gross revenue. In 2007, the gross revenue grew by Rs. 2,500. What is the percentage increase in the revenue in 2007?
Two trains of equal lengths take 12 sec and 24 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
A student is ranked 17th from right and 5th from left. How many students are there in totality ?
An ant walks an average of 500 meters in 60 minutes. A beetle walks 15% less distance at the same time on the average. Assuming the beetle walks at her regular rate, what is its speed in km/h?
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
log42 - log82 + log16 2 -…. to ∞ is
A man wants to cross a home, which has 2 doors on one side and 1 door on other site. He has 2 x 1=2 ways for it.
A candidate appearing for an examination has to secure 42% marks to pass paper I. But he secured only 42 marks and failed by 22 marks. What is the maximum mark for paper I?
In how many ways can three consonants and two vowels be selected from the letters of the word "TRIANGLE"?
A person was asked to state his age in years. His reply was , "Take my age 3 years hence, multiply it by 3 and subtract 3 times my age 3 years ago and you will know how old I am." What was the age of the person ?
At a particular pizza shop, a pizza can be created from any combination of 5 different types of spice, 7 different types of meat, among which are pepperoni and anchovies, and 4 different types of cheese. If a customer at the shop decides to order a pizza with 1 type of spice, 2 types of cheese, and 4 types of meat but ...
The value of x + x(xx) when x = 7
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
If difference between compound interest and simple interest on a sum at 10% P.a. for 2 years is Rs.41 then sum is
The average temperature of Haridwar in the first four days of a month was 58 degrees C. The average for the second, third, fourth and fifth days was 60 degrees. If the temperature of the first and fifth days were in the ratio 7:8, then what is the temperature on the fifth day of Haridwar?
Set A consists of integers -9, 8, 3, 10, and J; Set B consists of integers -2, 5, 0, 7, -6, and K. If R is the median of Set A and W is the mode of set B, and R^W is a factor of 34, what is the value of K if J is negative?
x=9^10–3^17 and x/n is an integer. If n is a positive integer that has exactly two factors, how many different values for n are possible?
The sum of two numbers is 22. Five times one number is equal to 6 times the other. The smaller of the two numbers is:
In Town X, 64 percent of the population are employed, and 46 percent of the population are employed males. What percent of the employed people in Town X are females?
If a^x = b^3y, then
A, B, C, D and E are 5 consecutive points on a straight line. If BC = 2CD, DE = 5, AB = 5 and AC = 11, what is the length of AE?
The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
A man buys a cycle for Rs.1400 and sells it at a loss of 25%. What is the selling price of the cycle?
A newly-wed couple is using a website to design an eBook Wedding Album to distribute to their friends and families. The template they have chosen has places for 3 large photos and 19 smaller photos. The couple has 6 large photos they could use for those three slots, and 22 smaller photos they could use for those 19 slo...
Anintegratedteam consists of 2 members from the engineering team and 2 members from the design team. If the engineering team has 7 members and the design team has 5 members, how manyintegratedteam formations are possible?
An unbiased cubic die is thrown.What is the probability of getting a multiple of 4?
Suresh can complete a job in 15 hours. Ashutosh alone can complete the same job in 10 hours. Suresh works for 9 hours and then the remaining job is completed by Ashutosh. How many hours will it take Ashutosh to complete the remaining job alone?
If 2 and 3 are positive integers, then 2*3 + 2 is
If a - b = 5 and a2 + b2 = 31, find the value of ab.
x and y are positive integers. When x is divided by 12, the remainder is 5, and when x is divided by 13, the remainder is 3. When y is divided by 14, the remainder is 5, and when y is divided by 7, the remainder is 5. What is the least possible value of x + y?
Arun, Akash, Amir and Aswanth go for a picnic. When Arun stands on a weighing machine, Akash also climbs on, and the weight shown was 132 kg. When Akash stands, Amir also climbs on, and the machine shows 130 kg. Similarly the weight of Amir and Aswanth is found as 102 kg and that of Akash and Aswanth is 116 kg. What is...
A 24" x 24" square metal plate needs to be fixed by a carpenter on to a wooden board. The carpenter uses nails all along the edges of the square such that there are 25 nails on each side of the square. Each nail is at the same distance from the neighboring nails. How many nails does the carpenter use?
Find the missing figures: 0.2% of ? = 0.02