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big_math_dataset

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The average age of 3 boys is 25 years and their ages are in the proportion 3:5:7. The age of the youngest boy is?
Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
Mohan's salary was first increased by 20% and then decreased by 20%. If his present salary is Rs. 7200, then what was his original salary?
Sam is training for the marathon. He drove 13 miles from his home to the Grey Hills Park and then ran 6 miles to Red Rock, retraced his path back for 2 miles, and then ran 3 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?
For a certain set, the value range of its members is 88.8. A new set is created from the members of the old set as follows: 12 is subtracted from a member of the old set, and the result is divided by 4. The resulting value is a member of the new set. If this operation is done for each member of the old set, what is the...
Eight persons participated in a shooting competition. The top score in the competition is 85 points. Had the top score been 92 points instead of 85 points, the average score would have been 84. Find the number of points actually scored in the competition.
If a rooster laid 13 eggs, and the farmer took 8 of them, and then another rooster laid 12 eggs and 4 of them were rotten, how many of the eggs were left?
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 ?
What is the sum of all the multiples of 25 between 30 and 100?
On a map the distance between two mountains is 312 inches. The actual distance between the mountains is 136 km. Ram is camped at a location that on the map is 34 inch from the base of the mountain. How many km is he from the base of the mountain?
Each of the integers from 4 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?
Concentrated apples juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated apples juice, at the most, can fit into 3 wooden boxes?
20 % of 2 is equal to
If q = 30! + 1, which of the following cannot be a prime factor of q? I. 11 II. 19 III. 29
The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
A certain board game has a row of squares numbered 1 to 100. If a game piece is placed on a random square and then moved 7 consecutive spaces in a random direction, what is the probability W the piece ends no more than 7 spaces from the square numbered 49?
39 persons can construct a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Consider the sets Tn = {n, n + 1, n + 2, n + 3, n + 4}, where n = 1, 2, 3,...., 78. How many of these sets contain 6 or any integral multiple thereof (i.e., any one of the numbers 6, 12, 18, ...)?
Two cubes of their volumes in the ratio 343 : 729. The ratio of their surface area is:
A metered rikshaw charges Rs 13.50 for the first 1 Km and 2.50 per 1/3 km there after. What would the charge if this rikshaw is hired for 13 Kms? In approx??
If after 200 grams of water were added to the 24%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 24%-solution was used?
In a group of600 readers who read science fiction or literacy works or both, 200 read science fiction and 230 read literacy works. How many read both science fiction and literacy works?
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother 5 years younger to her was born. What is the difference between the ages of her parents?
A family travelled for 12 hours. They covered the first half of the distance at 35 kmph and remaining half of the distance at 40 kmph. Find the distance travelled by the family?
In a 100 m race, A runs at 8km per hour. If A gives B a start of 8 m and still him by 15 seconds, what is the speed of B ?
ABCD is a square where AB =√4032. Let X be a point on AB and Y be a point on CD such that AX = CY . Compute the area of trapezoid AXYD.
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 800 m long?
The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 30 per cent. The two reductions together are equal to a single reduction of
A and B finish the job in 15 days.while A,B and C can finish it in 3 days . C alone will finish the job in
A project manager needs to select a group of 4 people from a total of 4 men and 4 women. How many possible group combinations exist such that no group has all men or all women?
If the ratio of the roots of the equation 2x2-6x+q=0 is equal to that of the roots 3x2-6x+s=0, then:
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What will be the maximum possible value of [abc – (a+b+c)]?
A circular box kept around a circular place. If the difference between the circumference of the outer circle and the inner circle is 44m, find the width of the box?
A certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the first 8 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. What is the duration of a call, in minutes, for which the company charges the s...
A man has about 4 children and 16 apples.He cuts the apple into quarter pieces and distribute them among the Children.One of the children eats one apple and returns remaining to the father.The father now distribute it among remaining.How many pieces does each of remaining child have?
If Q= x^4 + y^4 = 100, then the greatest possible value of x is between
A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
2ab5 is a four digit number divisible by 25. If a number formed from the two digits ab is a multiple of 13, then ab is
Find the value for m? 19(m + n) + 17 = 19(-m + n) - 173
A water tank has three taps A, B and C. Tap A, when opened,can fill the water tank alone in 4 hours. Tap B, when opened, can fill the water tank alone in 6 hours and tap C, when opened, can empty the water tank alone in 3 hours. If taps A, B and C are opened simultaneously, how long will it take to fill the tank comple...
Martha has 3 dogs and 4 cats. She takes each animal separately for a daily walk. She can take the animals for a walk to the park or to the barber shop. How many different options for a walk with a single animal does Martha have?
On simplification, 3500 – (1000 ÷ 20.50) is equal to :
The average age of 20 men in the class is 17.6 years. Five new men join and the new average becomes 15.56 years. What was the average age of five new men?
The average age of three boys is 25 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
A train covers a distance of 100km in 1 hour. If its speed is decreased by 25km/hr, the time taken by the car to cover the same distance will be?
Danny drove his old car 100 kilometers, from his home to a friend. To prevent the engine from overheating, he stopped his car for 12 minutes every time he completed 40 kilometers of continuous driving. When the car was moving, Danny drove it at an average speed of 60 kilometers per hour. What was Danny's average speed ...
November 2, 1962, fell on a Friday. On which day of the week did November 2, 1985, fall? (Note: 1964 was a leap year and every succeeding fourth year were leap years.)
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
The average height of 30 students in a class was calculated as 177 cm. It has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 106 cm. What was the actual average height of the students in the class?
A, B and C can do a work in 7 , 14 and 21 days respectively. They completed the work and got $242. What is the share of C?
How many cubes of 2cm edge can be cut out of a cube of 24cm edge
Working together at their respective constant rates, Machine A and Machine B can produce 1,800 units in 8 hours. Working alone, Machine B would complete that same output in 50% more time. If Machine A were to work on its own for an 8-hour shift, what percent of the 1,800 unit total would it produce?
Set A: {1, 3, 4, 6, 9, 12, 15} If three numbers are randomly selected from set A without replacement, what is the probability that the sum of the three numbers is divisible by 2?
A rectangular floor is covered by a rug except fo a strip p meters along each of the four edges. If the floor is m meters by f meteres, What is the area of the rug in square meters?
A couple who own an appliance store discover that if they advertise a sales discount of 10% on every item in the store, at the end of one month the number of total items sold increases 10%. Their gross income from sales for one month decreases by what percent?
If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
A train 100 meters long completely crosses a 300 meters long bridge in 30 seconds. What is the speed of the train is?
In how many different ways can the letters of the word ‘ARMOUM’ be arranged?
The set S has 36 different subsets each of which contains exactly two elements. How many subsets of S could contain exactly three elements each?
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
Find the number of ways in which four men, two women and a child can sit at a table if the child is seated between two women.
P and Q started a business investing Rs. 54,000 and Rs. 18,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
The sum of the two numbers is 13 and their product is 35. What is the sum of the reciprocals of these numbers?
Three numbers are in the ratio 3 : 4 : 8. The sum of its longest and smallest numbers equals the sum of the third number and 42. Find the third number?
Tough and Tricky questions: Distance/Rate. On a reconnaissance mission, a state-of-the-art nuclear powered submarine traveled 500 miles to reposition itself in the proximity of an aircraft carrier. This journey would have taken 2.5 hour less if the submarine had traveled 10 miles per hour faster. What was the average s...
When n is divided by 48, the remainder is 6. What is the remainder when 4n is divided by 8?
Each side of a certain parallelogram has length 6. If the area of the parallelogram is 24. Which of the following is the measure of one of its angles?
In a Quiz the points in each round for the first,second,third and fourth position were 100,50,20,10 . No other points were given. Rachel participated in several rounds in the competition and the product of her score was 10000. In How many rounds did she participate?
How many integers less than 100 have exactly 4 odd factors but no even factors?
A fort had provision of food for 150 men for 45 days. After 10 days, 50 men left the fort. The number of days for which the remaining food will last, is:
If q = 20! + 17, then q is divisible by which of the following? I. 15 II. 17 III. 19
The average marks scored by Ganesh in English, Science, Mathematics and History is less than 15 from that scored by him in English, History, Geography and Mathematics. What is the difference of marks in Science and Geography scored by him?
When m is divided by 9, the remainder is 2. When m is divided by 13, the remainder is 4. If 1 < m < 200, what is the greatest possible value of m?
For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum m of all the even integers between 99 and 301?
A computer can perform x calculations in s seconds. How many minutes will it take the computer to perform k calculations?
If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 348, the cost of the article is
Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
Solve below question 2x - 1 = 17
Car Dealership X, the total profit from sales increased by 15 percent over the previous years, while the number of cars sold decreased by 15 percent over the previous years. Approximately what was the average percent increase in profit per car over the previous year.
Audrey 4 hours to complete a certain job. Ferris can do the same job in 3hours. Audrey and Ferris decided to collaborate on the job, working at their respective rates. While Audrey worked continuously, Ferris took 5 breaks of equal length. If the two completed the job together in 2 hours, how many minutes long was each...
In a G6 summit held at london. A french, a german, an italian, a british, a spanish, a polish diplomat represent their respective countries. (i) Polish sits immediately next to british (ii) German sits immediately next to italian, British or both (iii) French does not sit immediately next to italian (iv) If spanish sit...
A is thrice as good as B. A is able to finish a job in 60 days less than B.Theycan finish the work in how many days if they work together.
If 1 = 6 , 2 = 12 , 3 = 18, 4 = 24, 5 = 30, Then 6 = ?
On average, the bottle-nosed dolphin comes up for air once every three minutes; the beluga whale, a close relative, comes up for air on average once every six minutes. The number of times a bottle-nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a be...
There are 8 cars parked in the lot 5 red and 3 blue, James threw two stone at the cars and three of the cars were hit, what is the probability that a stone did not hit any red car provided each stone hit one different car?.
The cost price of a radio is Rs.1590 and it was sold for Rs.1450, find the loss %?
A sum of money at simple interest amounts to Rs. 824 in 3 years and to Rs. 854 in 4 years. The sum is:
A driver covers a certain distance by car driving at 60 km/hr and returns back to the starting point riding on a scooter at 15 km/hr. What was the average speed for the whole journey?
In a class of 250 students, on JAN 2 15% of the girls and 10% of the boys are absent. If on 100% attendance there are 10 boys. Find the percentage present?
Calculate 469158 x 9999 = ?
If two typists can type two pages in two minutes, how many typists will it take to type 25 pages in five minutes?
A restaurant meal cost $32.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between
Tap 'A' can fill the tank completely in 4 hrs while tap 'B' can empty it by 8 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the tapes, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onward, would the tank be full?
A parking garage rents parking spaces for $10 per week or $40 per month. How much does a person save in a year by renting by the month rather than by the week?
How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
A man has Rs.10350 in the form of Rs.50 notes and Rs.500 notes. The total number of notes are 36.Find the number of notes of Rs.50 denomination.
A bowl of fruit contains 10 apples and 23 oranges. How many oranges must be removed so that 50% of the pieces of fruit in the bowl will be apples?
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along theoundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
20 litres of mixture contains 20% alcohol and the rest water. If 3litres of water be mixed with it, the percentage of alcohol in the new mixture would be?
The average age of husband, wife and their child 3 years ago was 30 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is