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big_math_dataset

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If four coins are tossed, the probability of getting two heads and two tails is ?
A mathematics teacher tabulated the marks secured by 35 students of 8th class. The average of their marks was 72. If the marks secured by Reema was written as 36 instead of 66 then find the correct average marks up to two decimal places.
A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 10% microphotonics; 24% home electronics; 15% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
Find the area of a parallelogram with base 24 cm and height 16 cm?
The cost of type 1 rice is Rs 15 per Kg and type 2 rice is Rs 20 per Kg. If both type1 and type 2 are mixed in the ratio of 2:3,then the price per Kg of the mixed variety of rice is?
The total age of A and B is 12 years more than the total age of B and C.C is how many years younger than A ?
At present, the ratio between the ages of Arun and Deepak is 4:5. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
If a sample of data has mean of 20 and SD of 3, which of the following values is more than 2.3 SDs from the mean?
To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of bucket is reduced to two-fifth of its present ?
A man can row a boat at 15 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Can you find the missing number in the sequence below 14 -20 34 -54 ? -144
A man can row downstream at 18 kmph and upstream at 8 kmph. Find the speed of the man in still water and the speed of stream respectively?
In February Wilson’s earnings were 40 percent of his family’s total income. In March Wilson earned 25 percent less than in February. If the rest of his family’s income was the same in both months, then, in March, Wilson’s earnings were approximately what percent Z of his family’s total income?
In filling a fish tank with water that is 50 m * 10 m * 1 m the volumes of water filled will be?
If a1 = 1 and an+1= 2an + 5, n = 1, 2 .. , then a10 is equal to ?
5 identical snow plows can clear an iced parking lot in 18 hours. How long would it take 6 such snow plows to clear the same parking lot?
if v is a positive integer greater than 8, which of the following must be divisible by 4?
If a bank account has $1000 with an interest rate of 5% compounded annually, how much money will the account have after 10 years?
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 16 cm
A man engaged a servant on the condition that he would pay him Rs.800 and a uniform after one year service. He served only for 9 months and received uniform and Rs.400, find the price of the uniform?
Two identical cubes if one of them is painted pink on its 4 sides and blue on the remaining two side then how many faces painted pink to other cube so that probability of getting the same color is 1/3 when we roll both the cubes.
The ratio of two cow A,B milk is 5:3.3kg milk of cow A get distributed and 1kg milk of cow B get distributed.now,8kg milk of cow B left.Now what is the ratio of cow A and B left milk?
The number which exceeds 16% of it by 105 is :
A student divided a number by 2/3 when he required to multiply by 3/2. Calculate the percentage of error in his result.
A popular website requires users to create a password consisting of the digits {1,2,3,4,5,6}. If no digit may be repeated and each password must be at least 5 digits long, how many passwords are possible?
If x = (y)(y + 1) and y is a prime number less than 7, which of the following could not be the product of 2 consecutive integers?
The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
Joe drives 240 miles at 60 miles per hour, and then he drives the next 120 miles at 40 miles per hour. What is his average speed for the entire trip in miles per hour?
In a shop 50% of the articles are sold at a profit of 20% and the remaining at a loss of 30%.what is the overall profit/loss?
Each week, Harry is paid x dollars per hour for the first 30 hours and 2x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?
A certain sum of money doubles itself in 10 years in how much many years will it trible itself at the same rate?
How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5 % per annum of simple interest ?
Three partners A,B and C shared the profit in a software business in the ratio 5:7:8. They had partnered for 14 months, 8 months and 7 months respectively. Find the ratio of their investments?
A basketball team scored x points per game in its first n games of the season, and in all the following games it scored an average (arithmetic mean) of y points per game. What was the average number of points per game in its first n + 2 games?
Indu gave Bindu Rs.5000 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
The average weight of 25 boys sitting in a class had some value. A new boy added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the boys decreased by 5 kg. Find the average weight of first 25 boys?
A baker filled with a measuring cup with 3/5 cup water. He poured 1/2 of the water into the batter, and then spilled 1/8 of the water on the floor. How much water will the baker needed to add what is left in the cup to have 50% more than what he started with?
Find the number of bricks, each measuring 24 cm x 12 cm x 8 cm, required to construct a wall 24 m long, 8m high and 60 cm thick, if 10% of the wall is filled with mortar?
Excluding stoppages, the speed of a bus is 84 kmph and including stoppages, it is 70 kmph. For how many minutes does the bus stop per hour?
When x is multiplied by 3, the result is 18 more than the result of subtracting x from 70. What is the value of x?
An express traveled at an average speed of 80 km/hr, stopping for 3 min after every 45 kn. How long did it take to reach its destination 480 km from the starting point?
What would be the compound interest on Rs.7700/- at 15 ¼% per year for 2 years compounded annually
Two letters from the word BARKHINT are selected at random. What is the probability that at least one of the selected letters is a consonant?
James purchased n items from a catalog for $12 each. Postage and handling charges consisted of $5 for the first item and $2 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?
A bag contains 26 purple jellybeans, 15 green jellybeans, and 9 yellow jellybeans; these jellybeans are the only items in the bag. If a person picks a jellybean at random out of the bag, what is the probability that the jellybean will be green?
If x is a positive integer, then the least value of x for which x! is divisible by 100 is? Can someone please explain intuitively what the question is asking?
A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
If 2/3rd of the contents of a container evaporated on the 1st day. And 1/4th of the remaining evaporated on the second day. What part of the contents of the container is left at the end of the second day?
A sum fetched a total simple interest of 4052.25 at the rate of 9 %.p.a. in 5 years. What is the sum?
Every day a certain bank calculates its average daily deposit for that calendar month up to and including that day. If on a randomly chosen day in June the sum of all deposits up to and including that day is a prime integer greater than 100, what is the probability that the average daily deposit up to and including that day contains fewer than 5 decimal places? (A) (B) (C) (D) (E)
(3 x 10^4) + (2 x 10^3) + (4 x 10^2) =
The ratio of the cost price and the selling price is 4:5. The profit percent is:
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 6 years ago was 20 years. The present age of the husband is:
A and B together finish a wor in 20 days.They worked together for 15 days and then B left. Afer another 10 days,A finished the remaining work. In how many days A alone can finish the job?
If n and k are integers whose product is 400, which of the following statements must be true?
In a camp,there is a meal for 140 men or 200 children.If 150 children have taken the meal,how many men will be catered to with the remaining meal ?
The average of 65 numbers is 40. If two numbers, 40 and 60 are discarded, then the average of the remaining numbers is nearly
If you roll one fair six-sided die, what is the probability that the number is odd or greater than 3?
If a man buys 10 lollipops for $80 and sold them for $5 dollars determine his loss.
Tough and Tricky questions: Statistics. Set X consists of prime numbers {3, 11, 7, K, 17, 19}. If integer W represents the product of all elements in set X and if 11W is an even number, what is the range of set X?
If D is the least common multiple of 90,196, and 300, which of the following is NOT a factor of D?
A train 330 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
The cost of 20 kgs. of sugar is Rs.400. What is the cost of 12.5 kgs. of sugar?
If a(a - 4) = 5 and b(b -4) = 5, where a ≠ b, then a + b =
A disease has infected an ant colony that consists ofworkersandsoldiers: 30% of the soldiers and 14% of theworkerswere infected. If that colony is inhabited by 7000 ants, out of which 1660 are infected, how manyworkersinhabit the colony?
What is the unit digit in 7^105
How many factors does 34^2 have?
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
The factorial expression 10!/2! is not divisible by which of the following integers?
If f(f(n)) + f(n) = 2n+3, f(0) = 1 then f(2013) = ?
An equity analyst needs to select 4 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 5, in how many ways can she choose and rank her top 4 picks?
The first half of a 600-mile trip was travelled in x hours and the second half in y hours. Which of the following is equal to the average speed, in miles per hour, for the entire trip?
Chris age after 20 years will be 5 times his age 5 years back. what is the present age of Chris?
A sum of money becomes triple itself in 5 years at simple interest. How many years will it become seven times at the same rate?
A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 12 minutes. How long will it take to go 5 km in stationary water?
Three students appear at an examination of Mathematics. The probability of their success are 1/3, 1/4, 1/5 respectively. Find the probability of success of at least two.
In how many ways can a group of 7 men and 5 women be made out of a total of 10 men and 7 women?
A certain barrel, which is a right circular cylinder, is filled to capacity with 40 gallons of oil. The first barrel is poured into a second barrel, also a right circular cylinder, which is empty. The second barrel is twice as tall as the first barrel and has twice the diameter of the first barrel. If all of the oil in the first barrel is poured into the second barrel, how much empty capacity, in gallons, is left in the second barrel?
A can give B 100 meters start and C 300 meters start in a kilometer race. How much start can B give C in a kilometer race?
A man can reach certain place in 50hours. If he reduces his speed by 1/10th, he goes 500km less in time. Find his speed?
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 25 hours respectively. The ratio of their speeds is?
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good?
The cost of the paint is rs.40.00 per kg. if 1kg of paint covers 20sq.ft, how much will it cost to paint outside of a cube having 10 feet each side
When tossed, a certain six-sided die has an equal probability of landing on any of the six sides. If the die is tossed 3 times, what is the probability that it will land on the same side each time?
In a certain sequence of 10 numbers, each number after the first is 1 more than the previous number. If the first number is −5, how many of the numbers in the sequence are positive?
A cube of edge 16cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20cm * 15cm , find the rise in water level?
Walking at 8KMPH From Point Q to Point railway station, mike will miss the train by 5 minutes. If he walks at 10KMPH he will reach the station by 5 minutes early.What is the distance between Point Q to Railway station?
1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 -5/6=
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
A box contains nine bulbs out of which 3 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
If you roll a fair-sided die twice, what is the probability of getting a (3,3 ) double?
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions
How many times are the hands of a clock at right angle in a day?
Howmany three digits odd numbers can be formed using the digits 4,5,6,7,8,9 (repetition of digits not allowed)
If the quantity 6^2+ 6^4 + 6^6 is written as (a + b)(a – b), in which both a and b are integers, which of the following could be the value of b?
What does RBI regulate through Open Market Operation Transactions?
A company has 12 equally qualified applicants for 4 open positions. How many different groups of 4 applicants can be chosen by the company to fill the positions if the order of selection does not matter?
A candidate got 25% of the votes polled and he lost to his rival by 4000 votes. How many votes were cast?
Which of the following correctly lists the data sets in order of least to greatest standard deviation? I. 12, 13, 15, 12, 14, 14 II. 32, 32, 32, 32, 32, 32 III. 37, 48, 59, 40, 41, 42
A train 210 metres long is moving at a speed of 25 kmph. It will cross a man coming from the opposite direction at a speed of 2 km per hour in :