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big_math_dataset

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The first photo shoot takes 3 minutes long and then the following shoots are taken at a rate of 20 seconds/shoot as the model is already at the scene. What is the maximum number of photo shoots taken under 10 minutes ?
If after 500 grams of water were added to the 24%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 24%-solution was used?
There is enough provisions for 100 girls in a hostel for 50 days. If there were 20 men less, how long will the provision last?
Which of the following fractions R, if written as a decimal, would have a 2 in the thousandths place ?
A box contains 21 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is
Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid $8 more than 1/4 of the fine and Peter paid $8 less than 1/3 of the fine, leaving pay $15 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay?
On a two-dimensional coordinate plane, the line s = x^2 - x^3 touches the x-axis in how many places?
What is R’s share of profit in a joit venture? I.Q started business investing Rs. 80,000. II.R joined him after 3 months. III.P joined after 4 months with a capital of Rs. 1,20,000 and got Rs. 6000 as his share profit.
At a meeting, 5 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
A certain kind of necklace is made from 9 silver, 6 red, and 3 black beads. What is the maximum number of these necklaces that can be made from 99 beads of each color ?
In the next Worldcup of cricket there will be 12 teams, divided equally in 2groups. Teams of eachgroup will play a match against each other. From each group 3 top teams will qualify for the next round. In this round each team will play against each others once. 4top teams of this round will qualify for the semifinal ro...
The least number which when increased by 7 each divisible by each one of 24, 32, 36 and 54 is :
The average of first four prime numbers greater than 20 is?
Bradley owns b video game cartridges. If Bradley’s total is one-fifth the total owned by Andrew and five times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
Find the value of x from the below equation: x^2−7x+10=0
A train is 360 meter long is running at a speed of 52 km/hour. In what time will it pass a bridge of 140 meter length.
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A hiker walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked at 5 miles per hour for 3 hours. How many miles in total did she walk?
In a game, a player can win by getting six consecutive tails in seven throws of a coin. What is the probability of winning if the player gets a tail on the first two throws?
From a pack of cards, two cards are drawn one after the other, with replacement. What is the probability that the first card is a black card and the second card is a king?
A can give B 200 meters start and C 400 meters start in a kilometer race. How much start can B give C in a kilometer race?
10^25 - 460 is divisible by all of the following except:
Lilly has 10 fish and Rosy has 8 fish. In total, how many fish do they have in all?
Thomas bought a table for Rs. 2000 and a chair for Rs. 1000. After one month of usage he sold table to David for Rs. 1800 and chair to Micheal for Rs. 900. What is the total percentage of loss incurred to Thomas?
N and M are each 3-digit integers. Each of the numbers 1, 2, 3, 7, 8 and 9 is a digit of either N or M. What is the smallest possible positive difference between N and M?
If a(a + 2) = 48 and b(b + 2) = 48, where a ≠ b, then a + b =
There are 76 persons. 54 can read Hindu, 43 can read Times, 37 can read Deccan and 15 can read all. If 24 can read Hindu and Deccan and 27 can read Deccan and Times then what is the number of persons who read only Times and Hindu.
The difference between the exterior and interior angles at a vertex of a regular polygon is 150 degree. The number of sides of the polygon is
If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number.
At a certain laboratory, chemical substance are identified by an unordered combination of three different colors. If no chemical may be assigned the same three colors as any other, what is the maximum number of substances that can be identified using eight colors?
what is rate of interest if principal.amount be 400,simple interest 80 and time 2year.
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
A sum was put at simple interest at a certain rate for 10 years . Had it been put at 5% higher rate , it would have fetched Rs.600 more. What was the Sum?
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
4685 * 999
The L.C.M. of two numbers is 54. The numbers are in the ratio 2 : 3. Then sum of the number is:
A, B and C can do a work in 60, 30 and 45 days respectively. If they work together, in how many days will they complete the work?
If x/4 + 24/x = 5, what are the values of 3x - 4?
Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
Evaluate: |5 - 8(3 - 12)| - |5 - 11| = ?
Find the 25% of Rs. 200.
The elementary school has 19 fourth graders, 23 fifth graders, and 29 six graders. Fourth graders have 30 minutes of homework per night, fifth graders have 40 minutes of homework per night, and six graders have 60 minutes of homework per night. How many minutes per night does the average student with homework have?
One fast typist type some matter in 5hrs and another slow typist type the same matter in 6hrs. If both do combine in how much time they will take to finish.
if 105 is represented as 253 in base 6,how is 253 represented in base 6?
The speed of a car is 80 km in the first hour and 60 km in the second hour. What is the average speed of the car?
At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
If the area of a square with sides of length 5 centimeters is equal to the area of a rectangle with a width of 4 centimeters, what is the length of the rectangle, in centimeters?
In Set T, the average (arithmetic mean) equals the median E. Which of the following must be true? I. Set T consists of evenly spaced numbers. II. Set T consists of an odd number of terms. III. Set T has no mode. IV. None of the above.
Two numbers are less than third number by 25% and 37% respectively. How much percent is the second number less than by the first
What is the sum of all possible solutions to |x + 3|^2 + |x + 3| = 20 ?
Given a two-digit number, the unit's digit exceeds its ten's digit by 5 and the product of the given number and the sum of its digits is equal to 90, which of the options is the number?
Find the value of (2 − 1/3) (1 − 1/4)(1 − 1/5)……… (1 − 1/99)(1 − 1/100)
A man sold 18 toys for Rs. 23100, gaining thereby the cost price of 3 toy find the cost price of a toy
In how many B ways can the wordGMATbe arranged so that no such arrangement has A as the first letter?
Raj invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120?
If a - b =6 and a2+b2=48 , find the value of ab.
At what price must an article costing Rs.47.50 be marked in order that after deducting 10% from the list price. It may be sold at a profit of 25% on the cost price?
A palindrome is a number that reads the same forward and backward, such as 242. How many odd seven-digit numbers are palindromes?
If a certain sample of data has a mean of 33.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean?
If the number 97215 * 6 is completely divisible by 11, then the smallest whole number in place of * will be:
A fort of 2000 soldiers has provisions for 50 days. After 10 days some of them left and the food was now enough for the same period of 50 days as before. How many of them left?
A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 490, what was his profit?
5n + 2 > 12 and 7n - 19 < 44; n must be between which numbers?
A and B complete a work in 8 days. A alone can do it in 16 days. If both together can do the work in how many days?
40 = a + 3b 5 = |–a| If a and b are both integers, What is the only possible value that b can take?
Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 45 percent on clothing, 45 percent on food, and 10 percent on other items. If Jill paid a 5 percent tax on the clothing, no tax on the food, and an 10 percent tax on all other items, then the total tax that she paid was what percent of t...
A and B are two partially filled buckets of water. If 4 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 5 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of water?
A bag contains 6 red, 2 green balls. 3 balls are drawn randomly. What is the probability that balls drawn contain exactly two green balls?
How many 4 digit numbers can be formed with the digits 0, 1, 2, 3, 4, 5, 6 and 5?
12.5 * 6.2 * 8.8 = ?
A pipe takes a hours to fill the tank. But because of a leakage it took 6 times of its original time. Find the time taken by the leakage to empty the tank
Rs.8000 become Rs.10720 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
A train traveling at 72 kmph crosses a platform in 31 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?
Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?
A computer wholesaler sells 11 different computers and each is priced differently. If the wholesaler chooses three computers for display at a trade show, what is the probability (all things being equal) that the two most expensive computers will be among the three chosen for display?
Let A be the event that a randomly selected two digit number is divisible by 3 and let B be the event that a randomly selected two digit number is divisible by 10. What is P(A and B)?
The price of food in the area where the Sims family lives is scheduled to increase by 50% next year. Since the Sims family cannot afford an increase in their food bill, how much will they have to reduce consumption to keep their cost the same?
A committee of three people is to be chosen from 6 married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
Two trains of equal lengths take 10 sec and 12 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?
Which is equal to 11?
A water tank, having the shape of a rectangular prism of base 100 square centimeters, is being filled at the rate of 1 liter per minute. Find the rate at which the height of the water in the water tank increases. Express your answer in centimeters per minute.
A train 200 m long is running with a speed of 68 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going?
How many possible ways can 2 girls (Rebecca, Kate, Ashley) go on a date with 2 boys (Peter, Kyle, Sam)?
a man buys m no. of pens for rs. n each and sells n no. of pens for rs. m each. then what is the profit he have earned?
With an average speed of 40 km/hr a car reaches its destination on time. If it goes with an average speed of 35 km/h, it is late by 15 minutes. The total journey is?
If (t-8) is a factor of t^2-kt-45, then k=
The perimeter of a semi circle is 144 cm then the radius is?
Arun, Akash, Amir and Aswanth go for a picnic. When Arun stands on a weighing machine, Akash also climbs on, and the weight shown was 132 kg. When Akash stands, Amir also climbs on, and the machine shows 130 kg. Similarly the weight of Amir and Aswanth is found as 102 kg and that of Akash and Aswanth is 116 kg. What is...
The ratio between the speeds of two trains is 5: 6. If the second train runs 300 kms in 5 hours, then the speed of the first train is ?
A and B can do a piece of work in 21 and 24 days respectively. They started the work together and after some days A leaves the work and B completes the remaining work in 9 days. After how many days did A leave?
How many pieces of 75 cm can be cut from a rope 55.5 meters long?
The workforce of Company X is 60% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 50%.How many employees did the company have after hiring the additional male workers?
D is the set of all the multiples of 3 between 20 and 100. E is the set of all the factors of 400. Set D and Set E have how many numbers in common?
judith is practicing her dance steps along with her friends. In a particular sequence, all of them form a row. At that point, judithis standing on the 5th position from either end of the row. Can you find out how many girls are practicing together?
What is the value of 3x^2 − 1.8x + 0.4 for x = 0.6?
The contents of a certain box consist of 24 mangos and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be mangos?
A computer program generates a sequence of numbers a1, a2, a3, ... such that a1=1, a2=2, and ak=a(k-2)*4-1 for 2 < k < n for n=10. Find a6.
In an examination, there were 2,000 candidates, out of which 900 candidates were girls and rest were Boys. If 38% of the boys and 32% of the girls passed, then the total percentage of failed candidates is?
If 45% of z is 60% of y and y is 75% of x, what percent of x is z?