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big_math_dataset

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A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
The cost price of a radio is Rs.4500 and it was sold for Rs.3200, find the loss %?
A committee of three people is to be chosen from 8 married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
Of the teams competing in the world archery championships, Thirty percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.
A certain characteristic in a large population has a distribution that is symmetric about the mean m. 64 percent of the distribution lies within one standard deviation d of the mean. If the shelf’s average life is 7.8 years and the standard deviation is 2.4 years, what percent of the distribution has more than 10.2 years as a shelf’s average life?
By selling an article at Rs.600, a profit of 25% is made. Find its cost price?
What is the sum of all possible solutions to |x - 4|^2 + |x - 4| = 12 ?
The sum of the even numbers between 1 and k is 79*80, where k is an odd number, then k=
A train 500 m long can cross an electric pole in 50 sec and then find the speed of the train?
If a committee of 2 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?
In how many ways can a cricket eleven be chosen out of a batch of 15 players.
Two persons start at the same point, walk in opposite directions with 6 km/hr and 6 km/hr respectively. What is the distance separated after 3 and half hrs?
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
The length of rectangle is thrice its breadth and its perimeter is 72 m, find the area of the rectangle?
The ratio between the sale price and the cost price of an article is 4:3. What is the ratio between the profit and the cost price of that article?
When a random experiment is conducted, the probability that event A occurs is 1/3. If the random experiment is conducted 5 independent times, what is the probability that event A occurs exactly twice?
A man took loan from a bank at the rate of 12% p.a. S.I. After 20 years he had to pay Rs. 1500 interest only for the period. The principal amount borrowed by him was?
The 4 sticks in a complete bag of Pick-Up Sticks are all straight-line segments of negligible width, but each has a different length: 1 inch, 2 inches, 3 inches, and 4 inches, respectively. If Tommy picks a stick at random from each of 3 different complete bags of Pick-Up Sticks, what is the probability Z that Tommy CANNOT form a triangle from the 3 sticks?
After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and the new member ?
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required ?
A truck owner will refuel his vehicle at a rate of 2 gallons of diesel fuel every 5 seconds. If diesel fuel costs $ 1.0 per gallon, how long will it take for the truck owner to refuel his vehicle with $ 50 worth of diesel fuel?
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 8 boys when a boy gets any no. of prizes?
A taxi company charges $1.25 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with $4.90?
How many combinations of three letters taken from letters (a, a, b, b, c, c, d) are possible?
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
A+B+C+D=D+E+F+G=G+H+I=17 given A=4. Find value of G and H?
The length of the bridge, which a train 160 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
If 3rd December 1999 is Sunday, what day is 3rd January 2000?
If a certain number is divided by 9, the quotient, dividend, and divisor, added together, will amount to 69. What is the number?
The total weight of six nougat nuggets is 2 oz. What is the average (arithmetic mean) weight of one such nougat nugget?
The total of the ages of Amar, Akbar and Anthony is 45 years. What was the total of their ages three years ago ?
Some of 50%-intensity red paint is replaced with 25% solution of red paint such that the new paint intensity is 45%. What fraction of the original paint was replaced?
8 persons can build a wall 140m long in 42 days. In how many days can 30 persons complete a similar wall 100 m long?
If 35% of a number is 12 less than 50% of that number, then the number is?
The expression (5x-2)/(x-3) is equivalent to which of the following?
8 persons a, b, c, ... and h are to be lined up in a row. If a, b, and c adhere always together, how many possible cases are there?
The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?
An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is
If 8 workers can build 8 cars in 8 days, then how many days would it take 7 workers to build 7 cars?
0, 1, 3, 6, 7, 9, 12, 13, 15, 18, ?. What number should replace the question mark?
If the speed of a man is 54 km per hour, then what is the distance traveled by him in 25 seconds ?
Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.
2^(15) + 2^(16) + 2^(17) + ... + 2^(44) + 2^(45) =
What is the lowest possible common multiple Y of 2 distinct integers, each greater than 329?
In a certain bathtub, both the cold-water and the hot-water fixtures leak. The cold-water leak alone would fill an empty bucket inchours, and the hot-water leak alone would fill the same bucket inhhours, wherec < h. If both fixtures began to leak at the same time into the empty bucket at their respective constant rates and consequently it tookthours to fill the bucket, which of the following must be true? I. 0 < t < h II. c/2 < t < h/2 III. c < t < h
The cash difference between the selling prices of an book at a profit of 2% and 4% is $3. The ratio of the two selling prices is:
The average of 13 numbers is 15.8. If the average of the first seven numbers is 15.6 and that of the last seven numbers is 15.4,then the middle number is?
A person can row at 9 kmph and still water. He takes 8 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?
I brought 30 books on Mathematics, Physics, and Chemistry, priced at Rs.17, Rs.19, and Rs.23 per book respectively, for distribution among poor students of Standard X of a school. The physics books were more in number than the Mathematics books but less than the Chemistry books, the difference being more than one. The total cost amounted to Rs.620. How many books on Mathematics, Physics, and Chemistry could have been bought respectively?
A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?
A can do a work in 9 days and B can do the same work in 18 days. If they work together, in how many days will they complete the work?
How many ways are there of placing 6 marbles in 4 bowls, if any number of them can be placed in each bowl?
What is the greatest number that divides 263, 935 and 1383 leaving a remainder of 7 in each case ?
The number which exceeds 16% of it by 126 is :
IF 2+7=57 ; 3+6=63 ; 5+9=206 Then 4+8=?
In a group of 80 children and 20 youngsters, each child got sweets that are 15% of the total number of children and each youngster got sweets that are 25% of the total number of children. How many sweets were there?
The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary ?
An alloy contains tin and copper in the ratio of 4:5 . If tin has 20% impurity and copper has 58% , what is the avg impurity percentage ?
Find the largest 4 digit number which isexactly divisible by 88?
A train moves with a speed of 72 kmph. Its speed in metres per second is
Convert the 19/36 m/s into kilometers per hour?
A group of five people are weighed with the results as follows (in pounds): 135, 140, 165, 178, 199. If the weight of the heaviest person is increased by 9 pounds, which of the following statements best describes the change in the mean and the median of the weights?
Jack can row at 9 kmph and still water. He takes 6 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 3 kmph?
On a certain date, Pat invested $10,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 12 years will be $40,000, in how many years, the total value of the investment plus interest will increase to $160,000?
An article is bought for Rs.875 and sold for Rs.900, find the gain percent?
A company X spent 1/5 of its investment on machinery and 1/3 of the remaining on the promotion of its product. How much fraction of the investment is the company left with after purchasing machinery and advertising?
For any 6 given numbers, which of the following is always equivalent to adding the 3 numbers together and then dividing the sum by 3? I. Ordering the 3 numbers numerically, from highest to lowest, and then selecting the middle number. II. Dividing each of the numbers by 3 and then adding the results together. III. Multiplying each number by 6, adding the resulting products together, and then dividing the sum by 9.
A bag contains ten marbles of the same size: 3 are identical green marbles, 2 are identical red marbles, and the other 5 are five distinct colors. If 5 marbles are selected at random, how many distinct combinations E of five marbles could be drawn?
In how many different ways can 3 identical orange hats and 3 identical purple hats be distributed among 6 children such that each child receives a hat?
If the volume of two cubes are in the ratio 27:8, the ratio of their edges is:
A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.5 m and its walls are 5 cm thick. The thickness of the bottom is:
If a = -0.6, which of the following is true?
Robin is traveling from one end of a forest to the other. In order to find his way back, he is leaving morsels of bread in the following pattern: 2 morsels of waffle, 3 morsels of rye, and 1 morsel of white. The pattern repeats after he leaves the morsel of white. If Robin drops 2,000 morsels of bread, what are the last 3 morsels of bread that he drops?
The average of 35 numbers is 25. If each number is multiplied by 5, find the new average?
What is the product of all positive factors of 15?
Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 20 km/hr. For how many minutes does the bus stop per hour?
10 play kabadi, 20 play kho kho only, 5 play both gmaes. Then how many in total?
four concentric circles r given .the radius of 1st circle is x.next is 2x,then 3x and 4x. given that area b/w 2nd and 1st is A and 4th and 3rd circles being B.find ratio of A to B
A train is 385 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length
For all integers a and b, a%b = (a + b)(a - b). If 5%x = 21, then which of the following could be a value of x?
A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
The speed of a boat in upstream is 40 kmph and the speed of the boat downstream is 60 kmph. Find the speed of the boat in still water and the speed of the stream?
The ratio of the ages of three people is 4:6:7. Six years ago, the sum of their ages was 67. Find their present ages.
A sells his goods 50% cheaper than B but 50% dearer than C. The cheapest is?
P,Q and R together earn Rs.1980 in 9 days. P and R can earn Rs.600 in 5 days. Q and R in 7 days can earn Rs.910. How much amount does R can earn per day?
In John's School, there are 80boys of age 14 each, 70boys of age 15 each & 50boys of age 13 each and another 60boys of age 12each. The average age of the boys of the school is
The ratio of the arithmetic mean of two numbers to one of the numbers is 4:7. What is the ratio of the smaller number to the larger number?
A cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled ?
A sum of Rs.21000 is divided into three parts such that the simple interests accrued on them for three, four and five years respectively may be equal. Find the amount deposited for 5 years.
Kate and Danny each have $10. Together, they flip a fair coin 5 times. Every time the coin lands on heads, Kate gives Danny $1. Every time the coin lands on tails, Danny gives Kate $1. After the five coin flips, what is the probability Q that Kate has more than $10 but less than $15?
Three unbiased coins are tossed. What is the probability of getting at least 2 heads?
On a school’s Annual day sweets were to be equally distributed amongst 112 children. But on that particular day, 32 children were absent. Thus the remaining children got 6 extra sweets. How many sweets was each child originally supposed to get ?
If one person completes a journey in 10 hrs. He travels 1st half of the journey at the rate of 21 km/hr and 2nd half at therate of 24 km/hr. Find the total journey in km.
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.
Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 150 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
145 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?
In a company 200 persons, working 6 hours per day complete 1/3 rd of the work in 7 days. Employee number of additional persons, working 4 hrs per day, required to complete the remaining work in 15 days is :
Which oif the following is a prime number?
Find the odd man out. 24,36,52,72,96
A village bank offers 5% compound interest calculated on half-yearly basis. A regular customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount the customer would have gained by the way of interest is: