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big_math_dataset

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I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
A certain junior class has 1000 students and a certain senior class has 600 students. Among these students, there are 60 siblings pairs each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair?
A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
A bag contains a certain number of 50 paise coins, 20 paise coins and 10 paise coins inthe ratio 3:4:5. If the total value of all the coins in the bag is Rs.560, find the number of 50 paise coins ?
A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more thanC. Out of a total profit of Rs. 35,000, A receives :
One hour after Matthew started waking from w to y, a distance of 45km, Johnny started walking along the same road from y to w. Matthew's walking rate was 3 km per hour and Johnny's was 4km per hour, how many km had Johnny walked when they met?
What will be the difference between simple and compound interest at 6% per annum on a sum of Rs. 1000 after 4 years?
If Bill can buy 3 pairs of jeans and 2 shirts for $69 or 2 pairs of jeans and 3 shirts for $71, how much does one shirt cost?
A baseball team won 50 percent of the first 80 games it played. How many of the remaining 82 games will the team have to win in order to have won exactly 50 percent of all the games it played?
If l and g are distinct prime numbers less than 10, which of the following cannot be the product of l and g?
Susan is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of wheat, 3 morsels of white, and 1 morsel of bap. The pattern repeats after she leaves the morsel of rye. If Susan drops 2,000 morsels of bread, what are the last...
FOG + FOG + FOG + FOG = 1468. If F,O and G are digits in a three-digit number in the preceding equation the F + O + G = ?
The ration of the father’s age to his son’s age is 7:3.The product of their ages is 756.The ratio of their ages after 6 years will be :
If the area of circle O is 16π, what is the length of an arc on the circle formed by a central angle measuring 25 degrees?
A palindrome is a number that reads the same forward and backward, such as 242. How many even seven-digit numbers are palindromes?
In a college, the ratio of the number of boys to girls is 8 : 5. If there are 200 girls, the total number of students in the college is
If 76 is divided into four parts proportional to 7,5,3,4, then the smallest part is :
If x and y are both odd prime numbers and x < y, how many distinct positive integer E factors does 2xy have?
If -2 and -3 are negative integers, then -2*-3 + 2 is
Find the average of all the numbers between 4 and 32 which are divisible by 5.
Dan has a membership at a local gym that also gives classes three nights a week. On any given class night, Dan has the option of taking yoga, weight training, or kickboxing classes. If Dan decides to go to either one or two classes per week, how many different combinations W of classes are available?
Find the perimeter and area of a square of side 9 cm.
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 46 meters. How many times did the ball bounce?
In the following question, various terms of an alphanumerical series are given with one or more terms missing as shown by (?).Choose the missing terms out of the given alternatives. 2Z5, 7Y7, 14X9, 23W11, 34V13, ?
A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
In a group of ducks and cows, the total number of legs are 30 more than twice the number of heads. Find the total number of cows.
Louie takes out a three-month loan of $4000. The lender charges him 10% interest per month compounded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?
If the average (arithmetic mean) of a and b is 45 and the average of b and c is 70, what is the value of c − a?
Machine–X produces 50% of the total output and Machine-Y produces 75% of the total output. An average of nine units out of a thousand goods manufactured by Machine-X and two unit of 500 units produced by Machine-X prove to be defective. What is the probability that a unit chosen at random from the total daily output of...
The length of a rectangle is 4 times its width. If the width of the rectangle is 5 inches, what is the rectangle's area, in square inches?
Find the odd man out 7, 8, 18, 57, 228, 1165, 6996
Find the sum of all 3 digit natural numbers, which are divisible by 8.
A person starts walking at a speed of 5km/hr through half the distance, rest of the distance he covers with aspeed 4km/hr. Total time of travel is 6 hours. What is the maximum distance he can cover?
The average of five consecutive odd numbers is 55. What is the difference between the highest and lowest numbers?
According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 4 cans of water to make orange juice. How many 12 ounce cans of concentrate are required to prepare 120 six-ounce servings of orange juice?
If the price has fallen by 10% what percent of its consumption be: increased so that the expenditure may be the same as before?
If k^2 = t^2, which of the following must be true?
The ratio of the radius of two circles is 1: 9, and then the ratio of their areas is?
Peter rolls two dice at the same time. What is the probability that total sum of the numbers on the dices is 4?
(17)5.25 x (17)? = 178
A can do a piece of work in 8 days. B can do it in 16 days. With the assistance of C they completed the work in 4 days. Find in how many days can C alone do it?
A boy wants to go abroad by boat and return by flight. He has a choice of 5 different boat to go and 2 flight to return. In how many ways, can the boy perform his journey?
John makes $40 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
The length of the bridge, which a train 140 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Lottery balls numbered consecutively from one through one hundred are placed in a spinner. If one ball is drawn at random, what is the probability that it will have the number 2 on it exactly once?
How long does a train 165 meters long running at the rate of 90 kmph take to cross a bridge 660 meters in length?
A man can row upstream at 3km/hr and down stream at 13km/hr find mans rate in still water ?
How many seconds will a 800 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
xy=1 then what is (6^(x+y)^2) / (6^(x-y)^2)
There are 10 stations between Trichy and Chennai. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
The residents of Town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 18 hours and a standard deviation of 6 hours. The number of hours that Pat, a resident of Town X, watched television last week w...
If @ is a binary operation defined as the difference between an integer n and the product of n and 5, then what is the largest positive integer n such that the outcome of the binary operation of n is less than 14?
The tax on a commodity is diminished by 20% and its consumption increased by 15%. The effect on revenue is?
A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but six, all pigeons but six, and all ducks but six. How many birds he had in the bag in all?
If equation |x/4| + |y/4| =2.5 encloses a certain region on the coordinate plane, what is the area of this region?
The jogging track in a sports complex is 726 m in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in?
An amount of Rs. 3000 becomes Rs. 3600 in four years at simple interest. If the rate of interest was 1% more, then what was be the total amount?
Six years ago, P was half of Q's age. If the ratio of their present ages is 3:4 what will be the total of their present ages?
Matt and Peter can do together a piece of work in 20 days. After they have worked together for 12 days peter stops and Peter completes the remaining work in 10 days. In how many days Matt complete the work separately.
A train which is 180m long which is having a speed of 62kph is passing a guy who is walking in the same direction of trains motion with a speed of 3kph. How long it will take the train to pass the guy(in seconds)?
A truck covers a distance of 200 metres in 1 minute whereas a bus covers a distance of 100kms in 50minutes. The ratio of their speeds is?
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
The product X of two prime numbers is between 17 and 100. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then X =
A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?
15.06 * 0.0001 = ?
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
A 300 m long train crosses a platform in 33 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Mr. Jones sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes, he
The ratio of two quantities is 2 to 5. If each of the quantities is increased by 7, what is the ratio of these two new quantities?
A car travels at a speed of 55 miles per hour. How far will it travel in 5 hours?
Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travel in opposite directions, they meet after one hour and if they travel in same direction (from A towards B), then P meets Q after 6 hours. What is the speed of car P?
In the floor of a particular kitchen owned by an abstract artist, each row of tiles to the right of the first row contains two fewer tiles than the row directly to its left. If there are nine rows in all and a total of 270 tiles in the floor, how many tiles does the leftmost row contain?
The ratio of 2 numbers is 3:7 and their H.C.F. is 12. Their L.C.M. is ?
Given that 4.21 x 10(power 4), Which of the following options is equal to it?
A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?
A man starts walking at 3 pm . he walks at a speed of 4 km/hr on level ground and at a speed of 3 km/hr on uphill , 6 km/hr downhill and then 4 km/hr on level ground to reach home at 9 pm. What is the distance covered on one way?
The length of the bridge, which a train 135 m long and traveling at 45 km/hr can cross in 30 sec is?
How many integers Q are prime numbers in the range 200 < Q < 220?
If the cost price of 12 pens is equal to the selling price of 8 pens, the gain percent is:
A trader sold an article at a loss of 5% but when he increased the selling price by Rs.65 he gained 3.33% on the cost price. If he sells the same article at Rs. 936, what is the profit percentage?
Machine A produces pencils at a constant rate of 9000 pencils per hour, and machine B produces pencils at a constant rate of 7000 pencils per hour. If the two machines to gather must produce 100,000 pencils and if each machine can operate for at most 8 hours, what is the least amount of time W, in hours, that machine B...
A clock loses 5 min for every hour and another gains 5 min for every hour. If they are set correct at 10 am on Monday then when will they be 12 hrs apart ?
Find the number of shares that can be bought for Rs.8200 if the market value is Rs.25 each with brokerage being 2.5%.
The banker’s gain on a sum due 3 years hence at 12% per annum is Rs. 90. The banker’s discount is
What is the value of 18^2 + 19^2 + 20^2 + 21^2 + 22^2 ?
If the price of 23 toys is 276, then what will the price of 12 toys ?
If a man buys 60 lollipops for $150 and sold them for $2 dollars each determine his loss.
Let f(x,y) be defined as the remainder when (x–y)! is divided by x. If x=50, what is the maximum value of y for which f(x,y)=0?
The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Two trains, each 100 meters long, moving in opposite directions, completely pass each other in 12 seconds. If one train is moving twice as fast the other, then what is the speed of the faster train (in km/hr)?
In a school of 700 students, 45% wear blue shirts, 23% wear red shirts, 15% wear green shirts, and the remaining students wear other colors. How many students wear other colors (not blue, not red, not green)?
How many multiples of 7 are there between 21 and 343, inclusive ?
Rs. 7800 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
Two numbers are in the ratio 1:2, if 7 is added to both, their ratio changes to 3:5. The greatest number is
If P/2 = Q/3 = R/4 then find P:Q:R
A train 125 m long passes a man, running at 3 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5% ?
If a continuous cable 10 meters long was marked off at intervals of 1/5 meter and also 1/8 meter, and then if the cable were cut at each mark, how many different size length of cable would result?
X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?