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big_math_dataset

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The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
A bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. If the total time taken is 5 hours, then the distance covered at 40 kmph is
On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
In a barrel of juice there is 30 liters; in a barrel of beer there are 60 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?
If log10 7 = a, then log10 (1/70)is equal to:
Triathlete Dan runs along a 2-mile stretch of river and then swims back along the same route. If Dan runs at a rate of 10 miles per hour and swims at a rate of 5 miles per hour, what is his average rate for the entire trip in miles per minute?
A heap of coconuts is divided into groups of 2, 3 and 11 and each time one coconut is left over. The least number of Coconuts in the heap is? A. 31 B. 41 C. 51 D. 61
If the average marks of three batches of 65, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is
Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?
A certain bag contains 60 balls — 22 white, 18 green, 2 yellow, 15 red, and 3 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Ramesh can finish a work in 20 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?
The average height of 35 boys in a class was calculated as 185cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places?
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is :
A person borrows Rs.5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 61⁄4% p.a for 2 years. Find his gain in the transaction per year.
Excluding stoppages, the speed of a bus is 80 km/hr and including stoppages, it is 70 km/hr. For how many minutes does the bus stop per hour?
In a group of 50 people, 25 have visited Iceland and 23 have visited Norway. If 21 people have visited both Iceland and Norway, how many people have visited neither country?
The cost price of a radio is Rs.4800 and it was sold for Rs.4400, find the loss %?
What is the sum of the greatest common factor and the lowest common multiple of 36 and 16?
A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?
In the following alphabet second half is written first and then the first half is arranged in reverse order. Then which of the following will be the 5th letter to the left of 16th letter from the right? A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 19 days more?
The sum of two numbers is 90 and their difference is 10. Find their product.
If |4x+6| = 36, then find the sum of the values of x?
A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 10 months and 7 months respectively. What was the ratio of their investments?
1,3,5,7,9,..50 find term of sequnce for this?
The population of a village is 6000. It decreases annually at the rate of 10% p.a. What will be its population after 2 years?
If u+5/v is a prime integer, which of the following must be true? 1.v=5u 2. v is a prime integer 3. u+5/v is ODD.
There are between 110 and 120 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?
A one-foot stick is marked in 1/4 and 1/5 portion. How many total markings will there be, including the end points?
Beth received 4/12 of the votes cast in a certian election. What franction of the other votes cast would she have needed in order to have received 1/2 of the votes cast?
The sum of a rational number and its reciprocal is 13/6. Find the number.
A baseball card decreased in value 60% in its first year and 10% in its second year. What was the total percent decrease of the card's value over the two years?
The average of 11 numbers is 10.6. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
Ganesh is one year more than twice Kumar's age. The sum of their age is 7. How old each?
A man can row upstream at 35 kmph and downstream at 45 kmph, and then find the speed of the man in still water?
which of the following is equivalent to (1-cos^2θ)/cos^2θ
The average (arithmetic mean) of the even integers from 0 to 120 inclusive is how much greater than the average (arithmetic mean) of the even integers from 0 to 60 inclusive?
A certain clock marks every hour by striking a number of times equal to the hour,and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stroke and the end of the last stroke is 66 seconds. at 12:00 ,how many seconds elapse betw...
The sum of three consecutive even numbers is 246. What are the numbers?
0,1,2,0.5,2,3,5,1,2,0,2,1,4,2,3,?
A fraction in reduced form is such that when it is squared and then its numerator is reduced by 33(1/3)% and denominator is reduced to 20%, its result is twice the original fraction. The sum of numerator and denominator is:
A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track at the average speed of 6 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement?
It was calculated that 75 men could complete a piece of work in 20 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work?
Yesterday's closing prices of 2,640 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher p...
Rahul went to a shop and bought things worth Rs. 26, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is:
A, B and C invested Rs.6000, Rs.4000 and Rs.10000 respectively, in a partnership business. Find the share of A in profit of Rs.11000 after a year?
a,b,c,d,e are distinct numbers. if (75-a)(75-b)(75-c)(75-d)(75-e)=2299 then a+b+c+d= ? Hint:2299 is divisible by 11.
The yearly compensation of salesperson Y is $4,000 plus 8 percent of the amount by which the total value of the items sold by the store exceeds $250,000. The yearly compensation of salesperson Z is 12 percent of the amount by which the total value of the items sold by the store exceeds $300,000. In the previous year, b...
If A takes x days to do a work then B takes 2x days to do the same work then with in how many day's A will alone complete this work ?
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
How many seconds will a 250 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Raman mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
If the sum of two numbers is 45 and the L.C.M and sum of the reciprocal of the numbers are 120 and 11/120 then HCF of numbers is equal to:
Find the product of the localvalue and absolutevalue of 7 in 20768?
If 23m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?
Find the odd man out. 187, 264, 346, 473, 682, 781
There are 1000 military people in a division of the army. There is one Officer for every 24 soldiers in that division. Now the question is how many officers are in the division?
8^b + 8^b + 8^b + 8^b + 8^b + 8^b + 8^b + 8^8 =
If 4/p=8 & 4/q=18 then p-q=?
If (x^2 + 3x - 10)/4≤ x + 1, then x could be represented by which of the following?
Seven different objects must be divided among three persons. In how many ways this can be done if at least one of them gets exactly one object.
How many four letter combinations can be formed using the letters of the word MISTY?
The G.C.D. of 1.08, 0.36 and 0.9 is:
45 workers work 8 hours to dig a hole 30 meters deep. How many extra workers should be hired to dig another hole 45 meters deep by working for 6 hours?
Carmelo and LeBron participate in a eight-person footrace on the basketball court during All-Star Weekend. If all eight contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron?
Find the value of x from this equation? 7(x - 1) = 21
Jim wishes to buy 3 gifts that cost 19 dollars, 9 dollars, and 12 dollars. He has 1/4 of the money he needs. How much more money must he earn in order to buy the gifts?
A taxi charges v dollars for the first two miles and c cents per quarter mile for every mile after the first two. Which equation describes cost of a taxi ride of n miles in dollars.
If x and y are even integers, which of the following is an odd integer?
A student needs 60% of the marks on a test to pass the test. If the student gets 80 marks and fails the test by 40 marks, find the maximum marks set for the test.
If anangletis defined as 1 percent of 1 degree, then how many anglets are there in a third circle?
In a division sum, the remainder is 8 and the divisor is 6 times the quotient and is obtained by adding 3 to the thrice of the remainder. The dividend is:
Car A leaves the airport at 8:00 am and travels at a constant rate of 40 km per hour. Car B leaves the airport at 8:45 am and travels in the same direction along the same highway at a constant rate of 52 km per hour. At what time will Car B be 9 km ahead of Car A?
Find two numbers whose sum is 26 and whose product is 165.
If taxi fares were $2.00 for the first 1/5 mile and $0.60 for each 1/5 mile there after, then the taxi fare for a 8-mile ride was
In a certain archery competition, points were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points. No other points are awarded. John participated several times in the competition ...
The average of 25 results is 18. The average of first 12 of them is 10 and that of last 12 is 20. Find the 13th result?
A cistern is normally filled in 8 hrs,but takes 2 hrs longer to fill because of a leak on its bottom,if Cistern is full ,how much time citern would empty?
The speed at which a man can row a boat in still water is 14 kmph. If he rows downstream, where the speed of current is 2 kmph, what time will he take to cover 40 metres?
In the following list of numerals, how many 3s are followed by 3, but NOT preceded by 3? 2 4 6 3 3 1 5 7 8 3 3 3 4 6 2 3 3 3 3 9 7 2 3
Farm A had an average output of 300 kgs of rice per acre. Farm B had an average output of 350 kgs of rice per rice. It is known that Farm B's area is 15 acres less than Farm A's. It is also known that Farm B in total harvested 3000 kgs of rice more than Farm A. What is the area of Farm A?
David invested certain amount in three different schemes. A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in scheme C was 150% of the amount invested in scheme A and 240% of the amount invested in scheme B,...
What is the total number of prime numbers less than 60?
In how many ways can the letters of the word STATE be arranged?
A small company reduced its faculty by approximately 20 percent to 195 employees. What was the original number of employees?
In Solution P, the proportion of water to alcohol is 5:4. In Solution Q, the proportion of water to alcohol is 7:5. If the two solutions are combined, what is the concentration of alcohol in the new solution if the original solutions were mixed in equal amounts?
If p and t are positive integers such that p > t > 1, what is the remainder when 92p × 5p+t + 11t × 6pt is divided by 10?
How many prime numbers between 1 and 100 are factors of 1771?
One day, Raviraj left home and cycled 20 Km southwards, turned right and cycled 10 km and turned right and cycled 20 Km and turned left and cycled 20 Km. How many kilometres will he have to cycle to reach his home straight ?
When positive integer x is divided by positive integer y, the remainder is 4. If x/y = 96.16, what is the value of y?
A cycle is bought for Rs.900 and sold for Rs.1260, find the gain percent?
A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
The probability of a team winning a match given Matt is playing the match is 0.75. The probability of the team winning a match given Matt is not playing the match is 0.6. The probability of Matt playing any match is 0.8. If it is known that the team has won the last match, what is the probability that Matt played the m...
A man purchased 3 blankets @ Rs.100 each, 4 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
In the kitchen of a busy restaurant, it takes M minutes to wash P pots. At this rate, how many hours does it take to wash 6P pots?
What percent of a day is 5 hours?
A bus takes 4 hours to cover a distance of 340 Km. how much should the speed in Kmph be maintained to cover the same direction in 5/2th of the previous time?
Ms. Lopez deposits $ 100 in an account that pays 20% interest, compounded semiannually. How much money will there be in the account at the end of one year?