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big_math_dataset

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Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together? A. 3 4/9 days
. Data sufficiency question: What will be the percentage profit of selling one liter milk.? 1) 16 liter of milk is sold at cost price after adding 20% water to it. 2) the cost price of one liter milk is Rs.16.
Amy's sells kale at x dollar per pound for the first 20 pounds and .5x for every subsequent pound. Lucia's price is x per pound for the first 14 pounds and .9x for subsequent pounds. What is the minimum number of pounds over 15 for which Amy's becomes an equal or better deal?
If 12x = 16y = 28z, then what is a possible sum of positive integers x, y, and z?
A certain essay consists of 12 paragraphs. Each paragraph contains at least 110 words but not more than 120 words. Which of the following could be the total number of words in the essay?
A square marked 1, 2, 3 and 4 on its four sides. Four colors pink, purple,brown and yellow are used to paint the four sides of the square. If the adjacent sides are painted with the different colors, in how many ways can the sides be painted?
If a company gains 10 %, the wholesale dealer 15 % and the retailer 25 %, then find the cost of production of a table if the retail price was Rs 1265
The ages of Raju and Biju are in the ratio 3:1. Fifteen years hence, the ratio will be 2:1. Their present ages are:
If a number E between 0 and 1 is selected at random, which of the following will the number most likely be between?
If the two-digit integers A and B are positive and have the same digits, but in reverse order, which of the following could be the sum of A and B ?
A cab driver 5 days income was $600, $250, $450, $400 , $800. Then his average income is?
A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 9 minutes?
A box contains 5 red, 4 blue, and 3 white balls. In how many ways can we select 4 balls such that at least 2 are red?
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.35000?
Using all the letters of the word "THURSDAY", how many different words can be formed?
A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 60 revolutions. How many revolutions does the second wheel make in covering d feet?
12 buckets of water fill a tank when the capacity of each tank is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?
If log1087.5 = 4.9421, then the number of digits in (875)10 is?
Last year, Company X paid out a total of $1,050,000 in salaries to its 21 employees. If no employee earned a salary that is more than 25% greater than any other employee, what is the lowest possible salary that any one employee earned?
A man buys 56 pens at marked price of 46 pens from a whole seller. If he sells these pens giving a discount of 1% , what is the profit percent?
What is the rate percent when the simple interest on Rs.800 amount to Rs.400 in 2 Years?
Evaluate combination 10C6
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
The cost C of manufacturing a product can be estimated by the formula C= 0.03 rs t^2, where r ans s are amounts, in pounds, of two major ingredients and t is production time in hours. if r is increased by 50%, s increased by 20% and t decreased by 30%, by approximately what % will the estimated cost of manufacturing the product change.
What is 2 2/3 - 1 1/4 divided by 1/2 - 1/3 ?
Robet traveled a distance of 30 km, covering the first 10 km in x minutes, the next 10 km in y minutes and the last 10 km in z minutes. If he totally took 3y minutes to cover the whole distance, then which of the following cannot be true? Assume x , y and z are different.
Three people are playing cards. What is the probability that a card drawn from a pack of 52 cards will be a diamond or a king?
What will be the difference between simple and compound interest @ 10% per annum on the sum of Rs 1000 after 4 years
A father purchased dress for his 3 daughters. The dresses are of same color but diff size and they are kept in dark room. what is probability that all the 3 will not choose their own dress?
A pizza shop made pizzas with many flavours. There are 9 different flavours, in that 2 flavours are taken to make pizza. In how many ways they can arrange?
Spandy travels from X to Y at a speed od 40 kmph and returns by increasing his speed by 50%. What is his average speed for the whole journey?
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is?
A credit card number has 6 digits (between 1 to 9). The first two digits are 12 in that order, the third digit is bigger than 7, the forth is divisible by 3 and the fifth digit is 3 times the sixth. How many different credit card numbers exist?
Average of five consecutive even numbers is 35. Find the greatest number in these five numbers?
20 beavers, working together in a constant pace, can build a dam in 3 hours. How many V hours will it take 12 beavers that work at the same pace, to build the same dam?
If 20% of a = b, then b% of 20 is the same as:
Xavier starts from P towards Q at a speed of 60 kmph and after every 12 mins increases his speed by 10 kmph. If the distance between P and Q is 60km, then how much time does he take to cover the distance?
If 1/(x+4)+1/(x-4)=1/(x-4), what is the value of x?
Three years ago, the average age of M and N was 18 years. With P joining them, the average age becomes 22 years, How old is P now?
In a class of 79 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?
21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?
The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest angle is constant). If the largest sector has a central angle of 66°, what fraction of the wheel’s area is represented by the smallest sector?
If Dale works at full efficiency he needs a break of 1 day after every 2 days of work and he completes a job in a total of 8 days. If he works at reduced efficiency, he can work without break and finish that same job in 8 days. Dale's output at reduced efficiency is what fraction of his output at full efficiency?
If we write 1/3 as a decimal, what number holds the 100th digit's place to the right of the decimal?
If Rs.1000 be invested at interest rate of 5% & the interest be added to the principal every 10 yrs, then the no. of yrs in which it will amount to Rs.2000 is:
The ratio of oranges to apples in a fruit basket is 3 to 4. However, after Mary and Alan eat four apples, the ratio changes to 3 to 2. How many oranges are there in the fruit basket?
A total of 40 percent of the geese included in a certain migration study were male. If some of the geese migrated during the study and 20 percent of the migrating geese were male, what was the ratio of the migration rate for the male geese to the migration rate for the female geese? [Migration rate for geese of a certain sex = (number of geese of that sex migrating) / (total number of geese of that sex)]
If f(x)=x^3 and g(x)=x^2, and x is a natural number, what CANNOT the answer be for f(g(x))?
By selling a bicycle for Rs. 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price will be:
If a company allocates 15 percent of its budget to advertising, 20 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
The 7th grade French and Spanish classes each have 12 students in them, and there are two students in the 7th grade taking both languages. If everyone in the 7th grade is in at least one of the two language classes, how many students are taking just one of the two classes?
A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
A photo-mat shop charges $0.55 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with $52.58 if each film contains 36 photos?
A train running at the speed of 60 km/hr crosses a pole in 42 seconds. What is the length of the train?
If “*” is called “+”, “/” is called “*”, “-” is called “/”, “+” is called “-”. 40/20 – 5 * 10 + 5 = ?
Two trains running in opposite directions cross a man standing on the platform in 35 seconds and 28 seconds respectively and they cross each other in 32 seconds. The ratio of their speeds is:
If $ 500 amounts to $ 583.20 in two years compounded annually, find the rate of interest per annum.
If selling price is doubled, the profit triples. Find the profit percent.
If the true discount on s sum due 2 years hence at 14% per annum be Rs. 154, the sum due is:
Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen?
If 2^x + 2^y = 10^0 + 90^0, where x and y are non negative integers, what is the greatest possible value of |x – y|?
A man buys a cycle for Rs. 1400 and sells it at a loss of 10%. What is the selling price of the cycle?
A train running at the speed of 30 km/hr crosses a pole in 9 seconds. Find the length of the train?
What will come in place of the x in the following Number series? 5,28,57,88,125
Train A leaves New York at 7:00 am traveling to Boston at 80mph. Train B leaves Boston at 7:45 am traveling to New York at 70 mph on a parallel track. If the distance between New York and Boston is 210 miles, at what time will the two trains pass each other?
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Ajay sells goods to a customer at a profit of K % over the marked price, besides it he cheats his customer by giving 880g only instead of 1kg. Thus his overall profit percentage is 25%. Find the value of K.
Johnny travels a total of one hour to and from school. On the way there he jogs at 5 miles per hour and on the return trip he gets picked up by the bus and returns home at 25 miles per hour. How far is it to the school?
Two successive discounts of 20% and 20% are equivalent to a single discount of
For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 30 percent of the total amount in excess of $500. If the total amount of one of her sales was $800, the saleswoman’s commission was approximately what percent of the total amount of the sale?
Jaylen was planning to save all summer for a pair of Jordan 12s. They cost $250. Jaylen figured that he could cut grass to help with the cost of the sneakers. How many yards would Jaylen have to cut if he charges $2.15 per yard?
A series of five integers have the following criteria: I. The median of the integers is 6 II. The only mode is 2 III. The mean is 5 Which of the following is true?
If the price has fallen by 10% what percent of its consumption be: increased so that the expenditure may be the same as before?
A train sets off at 9:00 am at the speed of 70 km/h. Another train starts at 10:30 am in the same direction at the rate of 80 km/h. At what time will the second train catch the first train?
Let f(x,y) be defined as the remainder when (x–y)! is divided by x. If x=45, what is the maximum value of y for which f(x,y)=0?
Find the invalid no.from the following series 2,3,12,37,86,166,288
A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most
If Rs.10 be allowed as true discount on a bill of Rs.110 at the end of a certain time , then the discount allowed on the same sum due at the end of double the time is?
A 64 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume?
Two pipes A and B can separately fill a tank 12 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
A bag holds 4 red marbles and 3 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be red?
A, B and C shared profits in ratio of 5 : 7 : 8. Theypartnered for 14months, 8months and 7months respectively. What was he ratio of their investments ?
If 2x-1 + 2x+1 = 1280, then find the value of x.
What should come in the place of the question mark(?) in the following equation? 21⁄25 ÷ 9⁄20 × 5⁄12 ÷ 10⁄17
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
A woman started a business investing Rs. 70,000. Roja joined him after six months with an amount of Rs. 1,05,000 and Sachin joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Akash, Roja and Sachin respectively, 3 years after Aman started the business ?
A meeting has to be conducted with 5 managers.Find the number of ways in which the managers may be selected from among 9 managers,if 3 managers will not attend the meeting together.
Nicole cycles at a constant rate of 15 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 30 kilometers per hour. If Jessica cycles at her constant rate for x minutes after passing Nicole, then stops to wait for her, how many minutes will Jessica have to wait for Nicole to catch up to her?
If the average marks of three batches of 58, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is
The sequence of numbers a1, a2, a3, ..., an is defined by an = 1/n - 1/(n+2) for each integer n >= 1. What is the sum of the first 60 terms of this sequence?
5.511/10.02 =
The radius of a semi circle is 6.3 cm then its perimeter is?
A certain elevator has a safe weight limit of 2,000 pounds. What is the greatest possible number of people who can safely ride on the elevator at one time with the average (arithmetic mean) weight of half the riders being 200 pounds and the average weight of the others being 230 pounds?
A manufacturer of chocolates makes 6 different flavors of chocolates. The chocolates are sold in boxes of 10. How many “different” boxes of chocolates can be made?
A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 240 m long?
A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:
Akshay buys a motorcycle for Rs.25000. If he decides to sell the motorcycle for a profit of 7%, find the selling price.
Which number replace question mark in the series? 16 8 40 20 100 50 250 ? 625