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big_math_dataset

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If A and B are two events such that P (A) = 3/4, P (B) = 1/2 and P (A n B) = 3/8, find P (not A and not B).
What is the unit digit in 8^100?
Anil and Suresh are working on a special assignment. Anil needs 6 hours to type 32 pages on a computer and Suresh needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 130 pages?
Given 2x + y + z = 3 and 5x + 3y + z = 9, what is the value of x + y - z?
A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture
Which of the following are phases of 2-phase locking protocol?
Rani has only pennies, dimes, and nickels in a jar. The jar has at least 1 but no more than 4 pennies. If the jar has at least 1 nickel and 1 dime, which of the following could NOT be the total amount of money in the jar?
A lemonade stand sold only small and large cups of lemonade on Tuesday. 3/5 of the cups sold were small and the rest were large. If the large cups were sold for 7 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?
Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 5? A. 48 kmph
Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Mathew is planning a vacation trip to London next year from today for 5 days, he has calculated he would need about $3,000 for expenses, including a round-trip plane ticket from L.A to London. He nets around $1,500 monthly in gross income, after all bills are paid, he is left with about $350 each month free for whatever he desires. How much money would Mathew need to evenly save from his $350 to have $3,000 in his bank within 12 months?
The greatest number by which the product of three consecutive multiples of 5 is always
In a race where 16 cars are running, the chance that car X will win is 1/4, that Y will win is 1/12 and that Z will win is 1/7. Assuming that a dead heat is impossible, find the chance that one of them will win.
An unbiased die is tossed. Find the probability of getting a multiple of 2.
A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.1205 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.500 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
There are 12 teams in a soccer league and each team plays each of the other teams once. How many games will be played in total?
A train ,130 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is
The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
A train 350 m long passed a pole in 35 sec. How long will it take to pass a platform 650 m long?
If x is a positive, single-digit integer such that 4/3*x, 3x, x, and x + 2, and 3x – 2 form a non-ordered list of consecutive integers, which of the following could be the median of that list?
A and B are working on an assignment. A takes 6 hours to type 32 pages on a computer, while B takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
If 2x + y = 7 and x + 2y = 5, then 10xy/3 =?
The perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. Find its area?
In a basketball contest, players must make 10 free throws. Assuming that Shmill O'Real has a 90% chance of making each of his shots, how likely is it that he will make all of his 10 shots in the contest?
In one alloy there is 12% chromium while in another alloy it is 8%. 20 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.
In a basket of 10 apples,John wants only 3 apples to give their 3 friends.In how many ways that john select apples from a basket?
A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
If the arithmetic mean of seventy-five numbers is calculated, it is 35. if each number is increased by 5, then mean of new numbers is :
Tough and Tricky questions: Percents. Over the course of a year, a certain microbrewery increased its beer output by 20 percent. At the same time, it decreased its total working hours by 30 percent. By what percent did this factory increase its output per hour?
A number is doubled and 9 is added. If the resultant is trebled, it becomes 51. What is that number?
All the students of class are told to sit in circle shape. Here the boy at the 10 th position is exactly opposite to 45 th boy. Total number of boys in the class?
A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
Ron cycles his way up on a hill side and back. He takes the exact same route both ways. On the trip out he cycles an average speed of 5 miles per hour. On the trip back, downhill cycling at an average speed of 100 miles per hour, he is quick to return back. What is his approximate average speed for the round trip in miles per hour?
A certain Maroon paint contains 70 percent blue pigment and 30 percent red pigment by weight. A certain green paint contains 10 percent blue pigment and 90 percent yellow pigment. When these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. If the brown paint weighs 10 grams, then the red pigment contributes how many grams of that weight?
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
The following sets each have a mean of 10 and the standard deviations are given in variable form. Set I = {6, 6, 6, 14, 14, 14}, standard deviation = P Set II = {10, 10, 10, 10, 10, 10}, standard deviation = Q Set III = {7, 8, 9, 11, 12, 13}, standard deviation = R Rank these three standard deviations from least to greatest.
What is the perimeter of an isosceles right angled triangle. The area of the isosceles right angled triangle is 50.
The total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year, less the age of the tree in years (rounded down to the nearest integer). During its 5th year, the plum tree grew 50 plums. If this trend continues, how many plums will it grow during its 7th year?
The sum of the numbers is 98. If the ratio between the first and the second be 2:3 and that between the second and third be 5:8, then find the second number?
A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
Out of 9 people working on a project, 4 are graduates. If 3 people are selected at random, what is the probability that there is at least one graduate among them?
On a certain road, 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on that road exceed the posted speed limit?
The L.C.M of two numbers is 2310 and their H.C.F is 30. If one number is 210 the Other is
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
What Is The Next Number 12 13 15 17 111 113 117 ?
If A can complete a work in 36 days and B can do the same work in 42days. If A after doing 6 days, leaves the work, find in how many days B will do the remaining work ?
There are 9 books on a shelf that consist of 3 paperback books and 6 hardback books. If 4 books are selected at random without replacement, how many different combinations are there which include at least one paperback book?
A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss?
Express a speed of 42 kmph in meters per second?
How many 3 digit positive integers W exist that when divided by 7 leave a remainder of 5?
With respect to the division whose percent of total income exceeded its percent of total expenses by the greatest amount among the four divisions, by approximately what amount did the division's income exceed its own expenses ? Division A :. 38% Division B : 12% Division C : 30% Division D : 20%
In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
On the coordinate plane , points M and Q are defined by the coordinates (-1,0) and (3,3), respectively, and are connected to form a chord of a circle which also lies on the plane. If the area of the circle is (25/4) π , what are the coordinates of the center of the circle ?
How many multiples of 4 are there between 1 and 100, inclusive?
21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
3,7,12,18,25..............9th terms
If taxi fares were $1.00 for the first 1/5 mile and $0.45 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was
If A:B = 1/2: 1/4 B:C = 1/2:1/4 then A:B:C?
A family consists of grandparents, parents and three grand children. The average age of the grandparents is 67 years, that of the parents is 39 years and that of the grandchildren is 6 years. What is the average age of the family?
66 cubic centimeters of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:
A manufacturing plant produces 2 products (bolts and screws). 3% of all products are defective. If the ratio of products made is 3:2, respectively, and the percentage of bolts defective 5%, what percentage of screws are defective?
Two vessels contains equal number of mixtures milk and water in the ratio 3:2 and 4:1. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained?
If x/y = 8/7, Then (7x + 6y) / (7x – 6y) = ?
An employer pays Rs.20 for each day a worker works and for feits Rs.3 for each day is ideal at the end of sixty days a worker gets Rs.280 . for how many days did the worker remain ideal?
In how many ways, a committee of 5 members can be selected from 6 men and 5 ladies, consisting of 3 men and 2 ladies?
The product of x and y is a constant. If the value of x is increased by 20%, by what percentage must the value of y be decreased?
If there are 200 questions in a 3 hr examination. Among these questions are 50 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems?
Lily shop runs a sale on goldfish and platys. If one customer buys 13 goldfish and 12 platys for $5.60, and another buys 14 goldfish and 21 platys for $8.05, what is the ratio of the price of goldfish to platys?
If t is a positive integer and 10^t – 74 in decimal notation has digits whose sum is 440, what is the value of t?
The weight of a glass of jar is 15% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar?
3*12+3*13+3*16+11 = ?
A, B and C started a business A's investment is 2 times of B's investment is 5 times of C's investment. Find the profit of B in the total profit of Rs. 8000.
if integer N has p factors ; how many factors will 4N have ?
A batsman scored 130 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Mary works in a restaurant a maximum of 70 hours. For the first 20 hours, she is paid $8 per hour. For each overtime hour, she is paid at a rate which is 25% higher than her regular rate. How much Mary can earn in a week?
IN Common Wealth Games an athlete runs 200 meters in 36 seconds. Hisspeed is ?
A train passes a platform in 25 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is
Calculate the percentage increase in the area of a square if each of its sides is increased by 15%?
Laura has a deck of standard playing cards with 12 of the 60 cards designated as aheart.If Laura shuffles the deck thoroughly and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart?
How many pieces of 8.6 metres length cloth can be cut out of a length of 455.8 metres cloth?
In store A there are 30 pairs of pants for every 60 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?
how many four digits numbers are formed such that the digits are in decreasing order
A certain company’s profit in 1996 was 10 percent greater than its profit in 1995, and its profit in 1997 was 20 percent greater than its profit in 1996. The company’s profit in 1997 was what percent greater than its profit in 1995?
Best friends Sprite and Icey have are playing a game of marbles. They invite 1 of their friends to play with them. There are 36 marbles in the bag. If all 3 people are playing, how many marbles does each person get?
A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 50, the runs scored by B are? A. 15 B. 18
For how many integers pair (x,y) satisfies the result (1/x)+((1/y)=1/17
Find the largest 4 digit number which isexactly divisible by 88?
After 6 games, team B had an average of 75 points per game. If it got only 47 points in game 7, how many more points does it need to score to get its total above 500?
If the area of a circle is 81pi square feet, find its circumference.
The average age 7 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
If n = 2cd, where c and d are distinct prime numbers greater than 2, how many different positive even divisors does n have, including n ?
Mike needs 30% to pass. If he scored 212 marks and falls short by 13 marks, what was the maximum marks he could have got?
Pankajam bought an electric drill at 80% of the regular price. She paid $32.80 for the drill. What was the regular price?
What is the lowest possible common multiple M of 2 distinct integers, each greater than 329?
A cubical block of metal weighs 5 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
Marla starts running around a circular track at the same time Nick starts walking around the same circular track. Marla completes 20 laps around the track per hour and Nick completes 10 laps around the track per hour. How many minutes after Marla and Nick begin moving will Marla have completed 4 more laps around the track than Nick?
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
What will come in place of (a) in the following expression? a - 796.21 + 498.05 = 215.50 – 425.01
There are 30 socks in a drawer. 60% of the socks are red and the rest are blue. What is the minimum number of socks that must be taken from the drawer without looking in order to be certain that at least two socks of the same colour have been chosen?