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big_math_dataset

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6x − 12 = 6y 5y + 5x = 10 Which of the following is the number of solutions to the system of equations shown above?
In an examination, there were 2,000 candidates, out of which 900 candidates were girls and rest were Boys. If 28% of the boys and 32% of the girls passed, then the total percentage of failed candidates is?
A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 5 per metre of cloth. What is the cost price of one metre of cloth?
54671 - 10456 - 33466 = ?
If |4x+6| = 42, what is the sum of all the possible values of x?
Find the value of m 62519 x 9999 = m?
A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?
Rohit was 4 times as old as his son 8 years ago. After 8 years, Rohit will be twice as old as his son. What are their present ages?
Two friends P & Q started a business investing amounts in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Q’s amount. At the end of the year 10% profit was earned which was equal to 98,000. What was the amount invested by R?
A box has 210 coins of denominations one-rupee and fifty paise only. The ratio of their respective values is 13:11. The number of one-rupee coin is
Mike took a taxi to the airport and paid $2.50 to start plus $0.25 per mile. Annie took a different route to the airport and paid $2.50 plus $5.00 in bridge toll fees plus $0.25 per mile. If each was charged exactly the same amount, and Annie's ride was 18 miles, how many miles was Mike's ride?
How many polynomials are there of the form x3rd - 8x2round + cx + d such that c and d are real numbers and the three roots of the polynomial are distinct positive integers?
A woman invested $1,000, part at 5% and the rest at 6%. Her total investment with interest at the end of the year was $1,051. How much did she invest at 5%?
2, 1, (1/2), (1/4), ?
If x = (y)(y + 1) and y is a prime number less than 6, which of the following could not be the product of 2 consecutive integers?
Find for what value(s) of k would there be an unique solution for the given set of questions. 2x - 3y = 1 and kx + 5y = 7
9 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days?
A family consists of two grandparents, two parents, and four grandchildren. The average age of the grandparents is 66 years, the average age of the parents is 40 years, and the average age of the grandchildren is 11 years. What is the average age (in years) of the family?
Shanmukham buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods
A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?
Sum of the squares of three numbers is 129 and the sum of their products taken two at a time is 250. Find the sum?
Nitin borrowed 8000 at the rate of 6% p.a. for the first three years, 8% p.a.for the next five years and 12% p.a.for the period beyond eight years. At the end of eleven years how much money did he give as interest?
In a group of 90 students, 36 are taking History, and 30 are taking Statistics. If 59 students are taking History or Statistics or both, then how many students are taking History but not Statistics?
If k and y are integers, and 10k + y is odd , which of the following must be true?
Which of the following is equal to (y+1)!/y!?
A tiger is 50 of its own leaps behind a deer. The tiger takes 5 leaps per minutes to deer’s 4. If the tiger and the deer cover 8 m and 5 m per leap respectively, what distance will the tiger have to run before it catches the deer ?
A number is doubled and 9 is added. If resultant is trebled, it becomes 75. What is that number
An event manager has ten patterns of chairs and eight patterns of tables.In how many ways can he make a pair of table and chair?
If there are 4 pairs of twins, and a committee will be formed with 3 members. In how many ways this committee formed in a way that no siblings in a group?
Two trains of lengths 156.62 and 100 meters are running on parallel lines with respective speeds of 30 km/hr and 36 km/hr. The time of crossing each other, if they run in the opposite direction is
James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one hour. In how much time will the two eat 150 marshmallows?
The mean proportional between 234 and 104 is
How many positive integers will divide evenly into 560?
George takes 30 days to do a piece of work and Mark takes 45 days for the same work. For the first 15 days only George works. Then Mark also joins him. Find the time taken to complete the entire work.
What is the probability of rolling a total of 5 with a single roll of two fair six-sided dice, each with the distinct numbers 1 through 6 on each side?
The number of meters in WB is equal to the square root of the number of centimeters in WB. What is the length of WB (1 meter=100 centimeters)?
(17)3.75 x (17)? = 178
There are 10 teams in a certain league and each team plays each of the other teams exactly twice. If each game is played by 2 teams, what is the total number of games played?
Four of the following five are alike in a certain way and hence form a group. Which one does not belong to the group?
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 26 years now, the son's age five years back was?
a certain no. of men can finish a piece f work in 10 days.If however there were 10 men less it will take 10 days more for the work to be finished.How many men were there originally
Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is ?
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Cost is expressed by the formula tb^4. If b is doubled, the new cost E is what percent of the original cost?
Let the number which when multiplied by 16 is increased by 375.
How many two-element subsets of <1, 2,3,4,5,6,7> are there that do not contain the pair of elements 2 and 4?
If E=x^4 + y^4 = 100, then the greatest possible value of x is between
What should come in place of the question mark (?) in the following number series? 3 7 19 55 163 ?
If the number 517*324 is completely divisible by 9, then the smallest whole number in the place of * will be:
Rahul's Mathematics test had 70 problems, 10 arithmetic, 30 algebra, 35 geometry problems. Although he answered 70% of arithmetic, 40% of arithmetic and 60% of geometry problems correctly, still he got less than 60% problems right. How many more questions he would have to answer more to get passed
The manager of a theater noted that for every 10 admissions tickets sold, the theater sells 3 bags of popcorn at 2.25 $ each, 4 sodas at 1.70 $ each and 2 candy bars at 1.00$ each. To the nearest cent, what is the average (arithmetic mean) amount of these snacks sales per ticket sold?
If x+y=20, x-y=36, for integers of x and y, x=?
When the number 72y6139 is exactly divisible by 11, then the smallest whole number that can replace y is?
List F consists of 12 consecutive integers. If -4 is the least integer in list F, what is the range of positive integers in list F?
A car covers a distance of 624 km in 8 hours. Find its speed?
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
A speed of 11 metres per second is the same as :
A, B and C have Rs.700 between them, A and C together have Rs.300 and B and C Rs.600. How much does C have?
If the average of e, b, c, 14 and 15 is 12. What is the average value of e, b, c and 29
The diagonals of a rhombus are 30 cm and 12 cm. Find its area?
Three years ago the average age of a class of six members was 22 years. A boy have been added, the average age of the class is the same today. What is the age of the boy?
Consider a lady took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 5400 interest only for the period. The principal amount borrowed by her was
A, B and C enter into a partnership. They invest Rs. 1,20,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?
If w is the square of a positive integer, which of the following must be equal to the square of the next positive integer?
Apple costs X rupees per kilogram for first 30 kgs and Y rupees per kilogram for each additional kilogram. If the price of 40 kilograms is 420 and for 50 kgs of Apples is 540 then the cost of first 10 kgs of Apples is
There are 50 employees in the office of ABC Company. Of these, 22 have taken an accounting course, 14 have taken a course in finance and 15 have taken a marketing course. Nine of the employees have taken exactly two of the courses and 3 employee has taken all three of the courses. How many of the 50 employees have take...
A cricket player whose bowling average was 24.85 runs per wicket, takes 5 wicket for 52 runs in a match. Due to this his average decreases by 0.85. What will be the number of wickets taken by him till the last match?
A box contains ten bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that at least one bulb is good?
A bag contains 10 balls numbered from 0 to 9. the balls are such that the person picking a ball out of the bag is equally likely to pick anyone of them. A person picked a ball and replaced it in the bag after noting its number. He repeated this process 2 more times. What is the probability that the ball picked first is...
In a certain pond, 100 fish were caught, tagged, and returned to the pond. A few days later, 100 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
P has $21 more than what Q and R together would have had if both B and C had 1/5 of what P has. How much does P have?
A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 14% microphotonics; 24% home electronics; 10% 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 proportion...
If x = 147, which of the following numbers could be subtracted from x to create a sum that is divisible by 6?
If log 27 = 1.467, then the value of log 9 is:
If the integer x is rounded to the nearest hundred, the result represents a 66 2/3 % increase over the value obtained when x is rounded to the nearest ten. which of the following is a possible value of x?
How many numbers between 1 and 100 are divisible by 7 ?
A sum of money is to be divided among Ann, Bob and Chloe. First, Ann receives $4 plus one-half of what remains. Next, Bob receives $4 plus one-third of what remains. Finally, Chloe receives the remaining $32. How much money N did Bob receive?
If d is a positive even integer, and n and m are consecutive integers, then (n - m)^d/(m - n)d =
A sum of $800 amounts to $920 in 3 years at simple interest. If the interest rate is increased by 3% it would amount to how much ?
The ratio, by weight, of coffee to sugar to water in a pot of coffee is 5:2:20. The ratio is then altered so that the ratio of coffee to sugar is halved while the ratio of coffee to water is tripled. If the altered pot of coffee contains 8 grams of sugar, how many grams of water does it contain after alteration?
Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years. Year Item of Expenditure Salary Fuel and Transport Bonus Interest on Loans Taxes 1998 288 98 3.00 23.4 83 1999 342 112 2.52 32.5 108 2000 324 101 3.84 41.6 74 2001 336 133 3.68 36.4 88 2002 420 142 3.96 49.4 98 Total expenditure on all these ite...
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 54° is?
What is 1! + 2! + ... + 10! ?
Apples are bought at 11 for a $ and an equal number more at 9 a $. If these are sold at 10 for a $, find the loss or gain percent?
There are two groups of students in the sixth grade. There are 20 students in group A, and 80 students in group B. If, on a particular day, 20% of the students in group A forget their homework, and 15% of the students in group B forget their homework, then what percentage of the sixth graders forgot their homework?
What is the value of (44444445*88888885*44444442+44444438)/44444444^2
Find average speed if a man travels at speed of 20km/hr up and 26km/hr dawn at an altitude of 240m.
Find the remainder Y when 12^190 is divided by 1729 ?
What is the perimeter of a square with area 9p^2/36 ?
Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%?
Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ration 8 : 5?
Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 240. Their H.C.F. is:
A box contains 40 balls, numbered from 1 to 40. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd?
How many even prime numbers are there less than 50?
The total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year, less the age of the tree in years (rounded down to the nearest integer). During its 4th year, the plum tree grew 50 plums. If this trend continues, how many plums will it grow ...
The number of singles that a baseball player hit increased 18 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 6 percent. If the total number of singles and doubles that she hit increased 3 percent from her first season to her second season,...
Jill, who lives in City C, plans to visit 3 different cities, M, L, and S. She plans to visit each city exactly once and return to City C after the 3 visits. She can visit the cities in any order. In how many different orders can she visit the 3 cities?
What approximate value should come in place of the question mark (?) in the following equation? 39.05 × 14.95 – 27.99 × 10.12 = (36 + ?) × 5
If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 372, C will receive