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big_math_dataset

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If the President and Vice President must sit next to each other in a row with 3 other members of the Board, how many different seating arrangements are possible?
Tickets numbered from 1 to 24 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bears a number which is a multiple of 3?
25 is a perfect square and x is also a perfect square. when x is added to 25 and 1 is substrate from it will give an answer which is also a perfect square. then what is the square root of x?
The average height of the four Torres towers is 800 feet. If the four Torres towers have a median height of 900 feet, what is the greatest possible height of the shortest building of the four?
The L.C.M of 2/3, 3/ 5, 4/7, 9/13 is :
49, 98, 686, 1372....
A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
If an article is bought at a profit of 15% and sold at a loss of 15% what is my total profit percent or loss percent?
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?
Joke is faster than Paul, Joke and Paul each walk 24 KM. The sum of their speed is 7 Km per hour. And the sum of times taken by them is 14 hours. Then, Joke speed is
Line J has a y-intercept of 10 and passes through point (a,b). What is the slope of Line J in terms of a and b?
The product of n-1 consecutive positive integers is always divisible by
If the Average of 10 consecutive integers is 20.5 then the 10th integer is :-
If A and B are two events such that P (A) = 3/4, P (B) = 1/4 and P (A n B) = 3/8, find P (not A and not B).
How many arrangements of the letters of the word BEGIN can be made, without changing the place of the vowels in the word?
The sum of the numbers is 264. If the first number be twice the second and third number be one-third of the first, then the second number is:
A train is 360 meter long is running at a speed of 54 km/hour. In what time will it pass a bridge of 140 meter length?
A reduction of 24% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
In a BCCI meeting there are 15 people. All shake hands with each other once. How many handshakes will be there altogether?
Find the area of a parallelogram with base 24 cm and height 12 cm?
P and Q can complete a work in 80 days and 48 days respectively. P alone started the work and Q joined him after 8 days till the completion of the work. How long did the work last?
How many pairs (e, e+1) have one or more prime factors common, where e is an integer and 2 ≤ e ≤9 ?
A bundle of flowers consists of 5 focal flowers and 7 foliage fillers. If a bouquet is created with 3 focal flowers and 5 foliage fillers, in how many ways can an original bouquet be formed?
In ten years, David will be four times as old as Aaron. Twenty years ago, David was twice as old as Ellen. If David is eleven years older than Ellen, how old is Aaron?
Trapezoid JKLM in the x-y plane has coordinates J = (–3, –4), K = (–3, 1), L = (5, 7), and M = (5, –4). What is its perimeter?
Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 8.5 km apart, if they walk in the same direction?
A car travels the first 1/3 of certain distance with a speed of 10km/hr the next 1/3 distance with a speed of 12 km/hr, and the last 1/3 distance with a speed of 60 km/hr. the average speed of the car for the whole journey is?
A store owner estimates that the average price of type A products will increase by 25% next year and that the price of type B products will increase by 20% next year. This year, the total amount paid for type A products was $4500 and the total price paid for type B products was $8300. According to the store owner's est...
5⁄7 of 4⁄15 of a number is 8 more than 2⁄5 of 4⁄9 of the same number. What is half of that number?
Divide Rs. 1200 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
If a(a + 5) = 6 and b(b + 5) = 6, where a ≠ b, then a + b =
The ratio 5 : 4 expressed as a percent equals
Two trains start simultaneously from opposite ends of a 175-km route and travel toward each other on parallel tracks. Train X, traveling at a constant rate, completes the 175-km trip in 4 hours. Train Y, travelling at a constant rate, completes the 175-km trip in 3 hours. How many kilometers had Train X traveled when i...
If three distinct positive divisors of 128 are randomly selected, what is the probability that their sum will be less than 64?
A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train?
Joseph’s grade was in the 80th percentile out of 100 grades in his class. In another class of 60 students there were 15 grades higher than Joseph’s. If nobody had Joseph’s grade, then Joseph’s was what percentile of the two classes combined?
ramu sells gud for 27 per kg. but he has two plates for wighting one plate is 10% shorter then other.. he put 1 kg weight on shorter plat and apple on other plat.. at the end their is no profit no loss..what is cost price of apple
The number obtained by interchanging the two digits of a two-digit number is less than the original number by 45. If the sum of the two digits of the number so obtained is 13, then what is the original number?
Cereal A is 11% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 3% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
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?
Out of 9 fruits in a basket, 2 are rotten. If two fruits are drawn at random from the basket, the probability of both being rotten is
Tom and Bob have a total of 49 toys. If Bob has 5 more toys than Tom, how many toys does each one have?
If an amount of Rs 26000 is divided equally among 76 students, approximately how much amount will each student get?
The average of first 14 even numbers is?
10 binders can bind 1400 books in 21 days. How many binders will be required to bind 1800 books in 20 days?
Oranges are bought at 7 for Rs.4. At what rate per hundred must they be sold to gain 33%?
Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
On a store counter are exactly two boxes containing only purple marbles and yellow marbles. Box A has 30 purple marbles and 20 yellow marbles; box B has 15 purple marbles and 35 yellow marbles. If Melanie randomly selects one of the boxes and then randomly selects one marble from the box, what is the probability that t...
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
If the function f(x) is defined for all real numbers x as the maximum value of 2x + 4 and 16 + 6x, then for which one of the following values of x will f(x) actually equal 2x + 4 ?
Which greatest possible length can be used to measure exactly 15 meter 75 cm, 11 meter 25 cm and 7 meter 65 cm
A grocery store bought some mangoes at a rate of 5 for a dollar. They were separated into two stacks, one of which was sold at a rate of 3 for a dollar and the other at a rate of for a dollar. What was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes?
A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
The average of eight results is 37 and that of the first seven is 40. The eighth result is?
A man traveled a total distance of 1200 km. He traveled one-third of the whole trip by plane and the distance traveled by train is two-thirds of the distance traveled by bus. If he traveled by train, plane and bus, how many kilometers did he travel by bus?
Rajeev wants to reach Mankar station exactly at 11 am. At 9.15 am, his train departs from Howrah Station. The speed of the train is 100 km per hour and distance between Howrah and Mankar is 150 kilometre. At what time will Rajeev actually reach Mankar?
Shaun invests a certain sum of money at 18.75% p.a. simple interest. After how many years will the sum of money become three times its principal?
A train running at the speed of 6 km/hr crosses a pole in 2 seconds. Find the length of the train?
Tickets to a certain concert sell for $20 each. The first 10 people to show up at the ticket booth received a 40% discount, and the next 20 received a 15% discount. If 60 people bought tickets to the concert, what was the total revenue from ticket sales?
If 0.6:1.4 :: 2:4:x, then x=?
On January 1, 2010, David invests 40% of his retirement savings in Antarctic largecap stocks, 20% in Antarctic midcaps, and 40% in Antarctic smallcaps. In 2010, largecaps rise 10%, midcaps rise 20%, and smallcaps rise 5% in the Antarctic stock market; however, in 2011, largecaps fall 5% and midcaps fall 10%, while smal...
Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder?
Mary and Joe are to throw three dice each. The score is the sum of points on all three dice. If Mary scores 10 in her attempt what is the probability that Joe will outscore Mary in his?
January 1, 2007 was Monday. What day of the week lies on Jan. 3, 2008?
The ratio between the present ages of A and B is 3.5:3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1:1. What is the ratio between A's age 4 years hence and B's age 4 years ago?
A glass was filled with 10 ounces of water, and 0.02 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?
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?
If the terms of a series are either2or24and the sum of all the terms B of the series is 124, then which of the following could be the number of2sin the series?
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 10 cm.
Sandy is younger than Molly by 16 years. If the ratio of their ages is 7:9, how old is Sandy?
If a and b are integers and (2^a)(3^b) is a factor of 600^40, what is the largest possible value of ab?
Jim is able to sell a hand-carved statue for $620 which was a 25% profit over his cost. How much did the statue originally cost him?
A train has a length of 150 meters . it is passing a man who is moving at 4 km/hr in the same direction of the train, in 3 seconds. Find out the speed of the train.
What is the next number in the sequence : 15,21,24,30,33,39,51,57__?
The true discount on a bill of Rs.270 is Rs.45.The banker's discount is
what is the value of (4)^-5 ?
One hundred gallons of fuel are purchased at $0.70 per gallon. The fuel is consumed at a rate of $0.50 worth of fuel per hour. At this rate, how many hours are required to consume the 100 gallons of fuel?
If a certain toy store's revenue in November was 3/5 of its revenue in December and its revenue in January was 1/3 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
Gregory grossed $750 one week by working 60 hours. His manager pays him time-and-a-half for all hours worked in excess of 30 hours. What is Gregory's regular hourly wage?
If (18^a) * 9^(3a – 1)= (2^6)(3^b) and a and b are positive integers, what is the value of a?
In how many ways can 3 boys and 3 girls be seated on 8 chairs so that no two girls are together?
Three candidates contested an election and received 3644 votes, 7606 votes, and 13750 votes respectively. What percentage of the total votes did the winning candidate receive?
A five digit number is to be formed using each of the digits 1, 2, 3, 4, 5 and 6 ONLY ONCE. How many numbers can be formed when 1 and 2 are not together ?
If the range R of the six numbers 4,3,14,7,10 and x is 12, what is the difference between the greatest possible value of x and least possible value of x?
If 28a+30b+31c=545. then a+b+c=?.a,b,c are natural numbers
If 10 and 15 are the lengths of two sides of a triangular region, which of the following can be the length of the third side? I. 10 II. 15 III. 25
What will be the vulgar fraction of 0.5
A large box contains 18 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?
A hall 36m long and 15m broad is to be paved with stones, each measuring 3dm by 5 dm. The number of stones required is:
In a factory, an average of 65 TV's are produced per day for the fist 25days of the months. A few workers fell ill for the next 5days reducing the daily avg for the month to 60 sets/day . The average production per day for day last 5days is ?
If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the busin...
A bookseller sells his books at a 20% markup in price. If he sells a book for $24.00, how much did he pay for it?
What is the median from the below series 90, 92, 91, 88, 95, 88, 97, 87, and 98
10% of the inhabitants of village having died of cholera.,a panic set in , during which 25% of the remaining inhabitants left the village. The population is then reduced to 4050. Find the number of original inhabitants.
100 × 10 – 100 + 2000 ÷ 100 = ?
There are 5 sweets - Jammun, kaju, Peda, Ladu, Jilebi which can be consumed in 5 consecutive days. Monday to Friday. A person eats one sweet a day, based on the following constraints. (i) Ladu not eaten on monday (ii) If Jamun is eaten on Monday, Ladu should be eaten on friday. (iii) Peda is eaten the day following the...