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big_math_dataset

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Mary’s annual income is $15,000 and John’s annual income is $18,000. By how much must Mary’s annual income increase so that it constitutes 60% of Mary and John’s combined income?
The manager at a health foods store mixes a unique superfruit juice cocktail that costs $1399.45 per litre to make. The cocktail includes mixed fruit juice and açai berry juice, which cost $262.85 per litre and $3104.35 per litre, respectively. The manager has already opened 36 litres of the mixed fruit juice. How many litres of the açai berry juice does he need to add?
The diagonals of two squares are in the ratio of 2 : 5. Find the ratio of their areas.
A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 200 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
The labeled price of a table is Rs. 7,500. The shopkeeper sold it by giving 5% discount on the labeled price and earned a profit of 15%. What approximately is the cost price of the table?
A bag contains 6black pens and 8 white pens. One ball is drawn at random. What is the probability that the ball drawn is white?
In covering a distance of 30 km, Arun takes 2 hours more than Anil. If Arun doubles his speed, then he would take 1 hour less than Anil. What is Arun's speed?
What is the sum of all 3 digit positive integers that can be formed using the digits 1, 5, and 8, if the digits are allowed to repeat within a number?
A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 8.30 a.m. ?
x and y are positive integers. When x is divided by 6, the remainder is 3, and when x is divided by 16, the remainder is 5. When y is divided by 9, the remainder is 5, and when y is divided by 7, the remainder is 4. What is the least possible value of x / y?
Rahul can do a work in 3 days while Rajesh can do the same work in 2days. Both of them finish the work together and get $2250. What is the share of Rahul?
Working alone, pump A can empty a pool in 6 hours. Working alone, pump B can empty the same pool in 9 hours. Working together, how many minutes will it take pump A and pump B to empty the pool?
How many ways can the letters of the word, ‘MACHINE’ be arranged so that the vowels may occupy only the odd positions?
A runs twice as fast as B and gives B a start of 83m.How long should the racecourse be so that A and B might reach in the same time?
What is the square root of 5,625?
In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
From among the 38 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
The H.C.F. of two numbers is 40 and the other two factors of their L.C.M. are 11 and 15. The larger of the two numbers is:
A bus trip of 450 miles would have taken 1 hour less if the average speed S for the trip had been greater by 5 miles per hour. What was the average speed S, in miles per hour, for the trip?
If k is an integer and 0.00010101 x 10^k is greater than 1000, what is the least possible value of k?
If 7/w + 7/x = 7/y and wx = y, then the average (arithmetic mean) of w and x is
#88 A necklace is made by stringing N individual beads together in the repeating pattern red bead, ORANGE bead, white bead, blue bead, and yellow bead. If the necklace design begins with a red bead and ends with a white bead, then N could equal
There are between 120 and 130 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?
An automobile manufacturer offers a station wagon with either a 16-cylinder engine or a 14-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 16-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon?
In an IT company, there are a total of 90 employees including 50 programmers. The number of male employees is 80, including 35 male programmers. How many employees must be selected to guaranty that we have 3 programmers of the same sex?
If x is an integer, and 144 < x^2 <= 361, which of the following is the sum of all possible values of x?
The number of singles that a baseball player hit increased 15 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 5 percent. If the total number of singles and doubles that she hit increased 4 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season?
How many ways are there to split a group of 4 boys into two groups of 2 boys each? (The order of the groups does not matter)
Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
In a 1400 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy who runs at 4 m/s ?
A room contains 140 people, 15 percent of whom are women. A group of people, 30 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room?
Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 5 percent during the second year, and decreased by 5 percent during the third year. What is the value of the account today?
What is the greatest possible length which can be used to measure exactly the lengths 8 m, 4 m 20 cm and 12 m 20 cm?
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is
Aishwarya’s mom was 42 years of age at the time of her birth, while her mom was 32 years old when her 4 years younger sister was born. The variance between the parents ages is :
If x = a!, which of these following values of a is the least possible value (in this list) for which the last 7 digits of the integer x will all be zero?
By selling 80 bananas, a fruit-seller gains the selling price of 10 bananas. Find the gain percent?
In a simultaneous throw of two dice , what is the probability of getting to total of 10 or 11?
On a certain date, Pat invested $9,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 10 years will be $36,000, in how many years total will the total value of the investment plus interest increase to $72,000?
A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability W that the sum of the three numbers on the balls selected from the box will be odd?
Find the odd man out 2, 3, 12, 37, 86, 166, 288
A worker earns $24 on the first day and spends $18 on the second day. The worker earns $24 on the third day and spends $18 on the fourth day. If this pattern continues, on which day will the worker first reach a net total of $48?
Two trains leave the same train station at 6:00 am and 6:45 am and they travel at 100 kph and 120 kph respectively. How many kilometers from the train station will the two trains be together?
A small pool filled only with water will require an additional 700 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 700 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?
If b is a positive integer, which of the following could NOT be the square of b?
A girl scout was selling boxes of cookies. In a month, she sold both boxes of chocolate chip cookies ($1.25 each) and boxes of plain cookies ($0.75 each). Altogether, she sold 1,585 boxes for a combined value of $1,587.75. How many boxes of plain cookies did she sell?
A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is
The owner of a cell phone shop charges his customer 23% more than the cost price. If a customer paid Rs.6,040 for a cell phone, then what was the cost price of the cell phone?
Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
A bag contains 50p, 25p and 10p coins in the ratio 3 : 7 : 4, amounting to Rs. 109.50. Find the number of coins of each type.
30 square stone slabs of equal size were needed to cover a floor area of 58.8 sq.m. Find the length of each stone slab?
What is the greatest 5-digit number when divided by 9 and 10 leaves a remainder of 7 and 9 respectively?
A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
A certain stock exchange designates each stock with a two-letter or three-letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes without using the vowels A, E, I, O, or U?
What is the least number of square tiles required to pave the floor of a room 10 m 17 cm long and 9m 9 cm broad?
In a bag of small balls 1/4 are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. How many balls are blue?
Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
The average (arithmetic mean) of four numbers is 4x + 2. If one of the numbers is x, what is the average of the other three numbers?
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent of solution B. If 600 grams of solution A are mixed with 700 grams of solution B, then liquid X accounts for what percent of the weight of the resulting solution?
The average age of 15 students of a class is 15 years. Out of these, the average age of 8 students is 14 years and that of the other 6 students is 16 years, The age of the 15th student is
Working together at their respective constant rates, Machine A and Machine B can produce 1,600 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 1,600 unit total would it produce?
Three bells chime at intervals of 18 min., 24 min. and 32 min. respectively. At a certain time they begin together. What length D of time will elapse before they chime together again?
A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Peter takes a loan of $100,000 with 12% annual interest: the interest is paid once, at the end of the year. Martha takes a loan of $100,000 with 12% annual interest, compounding monthly at the end of each month. At the end of one full year, compared to Peter's loan interest, approximately how much more does Martha have to repay?
What is the remainder when 1041*1047*1050*1053 is divided by 33?
Find the number of ways you can fill a 3 x 3 grid (with 4 corners defined as a, b, c, d), if you have 3 white marbles and 6 black marbles
On dividing 14698 by a certain number, we get 89 as quotient and 14 as remainder. What is the divisor?
The binary equivalent of 5.375 is
In how many ways 4 boys and 3 girls can be seated in a row so that they are alternative?
Find the quadratic equations whose roots are the reciprocals of the roots of 2x2 + 5x + 3 = 0?
To mail a package, the rate is 10 cents for the first pound and 5 cents for each additional pound. Two packages weighing 3 pounds and 5 pounds, respectively can be mailed seperately or combined as one package. Which method is cheaper and how much money is saved?
Laura has a deck of standard playing cards with 11 of the 55 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?
Out of 5 fruits in a basket, 2 are rotten. If two fruits are drawn at random from the basket, the probability of both being rotten is
A dishonest person wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing 33 $ per litre so as to make a profit of 40% on cost when he sells the resulting milk and water mixture for 36$. In what ratio should he mix the water and milk?
A can do a piece of work in 10 days; B can do the same in 20 days. How many days will it take the work to get finished if A and B work together?
A bullet train 220 m long is running with a speed of 59 kmph. In what time will it pass a man who is running at 7 kmph in the direction opposite to that in which the bullet train is going?
In an entrance exam, 3 marks is awarded for every correct answer and (-1) for every wrong answer. If a student gets 38 marks after attempting all questions, find the number of questions answered correctly if the total questions were 70.
The mean of 50 observations is 200. But later he found that there is decrements of 15 from each observations. what is the the updated mean is ?
A bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. If the total value is 35, how many coins of each type are there?
A basket of 2 apple is to be chosen from four apples. What is the probability ways of apples that can be chosen?
AB +BA ----------- AAC In the correctly worked addition problem shown here, where the sum of the two-digit positive integers AB and BA is the three-digit integer AAC, and A, B, and C are different digits, what is the units digit of the integer AAC?
Triangle ABC will be constructed in a xy-plane according to the following conditions: Angle ABC is 90 degrees, and AB is parallel to the y-axis; for each of points A, B and C, both the x-coordinate and the y-coordinate must be integers; the range of possible x-coordinates is 0=<x=<5 and the range of possible y-coordinates is -4=<y=<6. Any two triangles with non-identical vertices are considered different. Given these constraints, how many different triangles could be constructed?
Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
In a box, there are 10 red, 6 blue and 7 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
A bicyclist travels uphill from town A to town B for 2 hours at an average speed of 4 miles per hour and returns along the same road at an average speed of 5 miles per hour. What is the bicyclist’s average speed for the round trip, in miles per hour?
The milk level in a rectangular box measuring 62 feet by 25 feet is to be lowered by 6 inches. How many gallons of milk must be removed? (1 cu ft = 7.5 gallons)
Goldman Limited has 5 Senior Managing Directors and 6 Managing Directors. Each investment banking deal requires the guidance of four managing directors, at least one of which must be a Senior Managing Director. How many possible investment banking deals can Morgan Limited possibly provide guidance for?
What is the smallest positive integer m such that the following equation holds for some polynomials u(x) and v(x) with integer coefficients? (x + 2)(x + 5)(x + 7) u(x) − (x − 2)(x − 5)(x − 7) v(x) = m
The sum of ages of 5 girls born at the intervals of 2 years each is 50 years. What is the age of the youngest girl?
If each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 3 days ?
If Joanie puts $500 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year?
The ratio of the money with Ravi and Giri is 6:7 and that with Giri and Kiran is 6:15. If Ravi has $36, how much money does Kiran have?
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 16 hours and 4 hours respectively. The ratio of their speeds is:
If the sum of the interior angles of a regular polygon measures up to 900 degrees, then how many sides does the polygon have?
Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 12% if no discount was offered?
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 37 min, then the slower pipe alone will be able to fill the tank in?
If a person has two rectangular fields. The larger field has thrice the length and 4 times the width of the smaller field. If the smaller field has a length 50% more than the width.If a person takes 20 minutes to complete one round of a smaller field then what is the time required to complete one round of a larger field ?
Three years ago the average age of a family of eight members was 20 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
Mr. Moses made an investment of Rs.350. he receives a fixed interest which is compounded annually. His investment doubled after 3 years when compounded annual. How many more years will it take him to get another Rs.700 compound interest?