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big_math_dataset

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If it is 6:17 in the evening on a certain day, what time in the morning was it exactly 2,880,717 minutes earlier? (Assume standard time in one location.)
There are 7 meetings A,B,C,D,E,F,G. One meeting should be happen in one day. Meeting A is on Sunday and the meetings shoud be happen afterB. Then E ,F,G meeting occur in 3 conjucutive day. And meeting G is on Saturday.Next metting should occur in which day?
Three numbers are in the ratio 1:2:3 and their H.C.F is 12. The numbers are:
The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:
The combined area of the two black squares is equal to 1000 square units. A side of the larger black square is 8 units longer than a side of the smaller black square. What is the combined area of the two white rectangles in square units?
If 8 gallons of gasoline are added to a tank that is already filled to 3/4 of its capacity, the tank is then filled to 9/10 of its capacity. How many gallons does the tank hold?
If x is to be chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be even?
In how many different ways can the letters of the word ‘CASES’ be arranged?
100kg of an alloy A is mixed with 200 kg of alloy B. If alloy A has lead and tin in the ratio 5:3 and alloy B has tin and copper in the ratio 2:3, then the amount of tin in the new alloy is?
a and b are positive integers less than or equal to 9 and multiple of 4. If a and b are assembled into the seven-digit number abaabab, which of the following must be a factor of abaabab?
A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?
Susan drove an average speed of 15 miles per hour for the first 40 miles of a tripthen at a average speed of 60 miles/hr for the remaining 20 miles of the trip if she made no stops during the trip what was susan's avg speed in miles/hr for the entire trip
A man is 35 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is
A merchant sells an item at a 20% discount, but still makes a gross profit of 20 percent of the cost. What percent T of the cost would the gross profit on the item have been if it had been sold without the discount?
If x is 11 percent greater than 80, then x =
If a sample of data has mean of 24 and SD of 3, which of the following values is more than 2.5 SDs from the mean?
A fruit seller has oranges, apples and guavas in the ratio 2:5:8. The number of apples is more than the number of oranges by a number that is a multiple of both 6 and 11. What is the minimum number of fruits in his shop?
Find the area of the quadrilateral of one of its diagonals is 40 cm and its off sets 9 cm and 6 cm?
A four-character password consists of one letter of the alphabet and three different digits between 0 and 8, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?
Tom and Jerry are running on the same road towards each other. If Tom is running at a speed of 2.5 meters per second and Jerry is running 36% slower, how much time T will it take them to meet if the initial distance between the two is 50 meters and Tom started running 20 seconds before Jerry did?
Find the number of factors of 300 excluding 1 and itself.
At a certain restaurant, the average (arithmetic mean) number of customers served for the past x days was 60. If the restaurant serves 120 customers today, raising the average to 70 customers per day, what is the value of x?
Darcy, Gina, Ray and Susan will be the only participants at a meeting. There will be three soft chairs in the room where the meeting will be held and one hard chair. No one can bring more chairs into the room. Darcy and Ray will arrive simultaneously, but Gina and Susan will arrive individually. The probability that Gina will arrive first is 1/3, and the probability that Susan will arrive first is 1/3. The probability that Gina will arrive last is 1/3, and the probability that Susan will arrive last is 1/3. Upon arriving at the meeting, each of the participants will select a soft chair, if one is available. If Darcy and Ray arrive and see only one unoccupied soft chair, they will flip a fair coin to determine who will sit in that chair. By what percent is the probability that Darcy will sit in a soft chair greater than the probability that Gina will sit in a soft chair?
Of all the homes on Gotham Street, 1/3 are termite-ridden, and 2/5 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?
16 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men?
If four fair dice are thrown simultaneously, what is the probability of getting at least one pair?
The average age 10 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
The difference of a larger number and a smaller number is 6. The sum of the larger number and twice the smaller is 15. What is the larger number?
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
the average of five no.s is 8.in this how much maximum no. can be negative.
All of the students of Music High School are in the band, the orchestra, or both. 40 percent of the students are in only one group. There are 100 students in the band. If 20 percent of the students are in the band only, how many students are in the orchestra only?
Find the area of the square field if a train 800 metres long passes the field with a speed of 120 kmph in one minute.
The average of ten numbers is 210. The average of first five numbers is 40 and the average of last four numbers is 200. What is the middle number?
A certain company plans to sell Product X for p dollars per unit, where p is randomly chosen from all possible positive values not greater than 100. The monthly manufacturing cost for Product X (in thousands of dollars) is 12 - p, and the projected monthly revenue from Product X (in thousands of dollars) is p(6 - p). If the projected revenue is realized, what is the probability that the company will NOT see a profit on sales of Product X in the first month of sales?
A bakery has 6 employees. It pays annual salaries of $18,000 to each of 2 employees, $20,000 to 1 employee, and $21,000 to each of the remaining 3 employees. Which number is closest to the average (arithmetic mean) annual salary of these employees?
Worker A takes 8 hours to do a job. Worker B takes 12 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?
Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer)
A train 550 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
The floor of a rectangular room is 18 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 10 as remainder. Find the no. is?
A car traveled 281 miles in 4 hours 41 minutes. What was the average speed of the car in miles per hour?
4/x + 3x = 3(x+8)
xy=1 then what is (3^(x+y)^2) / (3^(x-y)^2)
Among the two clocks, clock A gains 20 seconds per minute. If clock A and B are set at 2 0'clock, when clock A is at 7:20, what does clock B show?
If eight machines working at the same rate can do 3/4 of a job in 30 minutes, how many minutes would it take two machines working at the same rate to do 3/5 of the job?
The profit obtained by selling an article for Rs. 56 is the same as the loss obtained by selling it for Rs. 42. What is the cost price of the article?
The value of ((x – y)³ + (y - z)³ + (z – x)³)/(12 (x – y) (y – z) (z – x)) is equal to :
when n divided by 3, the remainder is 2. when n divided by 4, the remainder is 1 what is the the remainder when divided by 16
If Sharon's weekly salary increased by 10 percent, she would earn $330 per week. If instead, her weekly salary were to increase by 8 percent, how much would she earn per week?
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
A certain tests consists 8 sections with 25 questions, numbered from 1 to 25, in each section. If a student answered all of the even-numbered questions correctly and 3/4 of the odd-numbered questions correctly, what was the total number of questions he answered correctly? a. 150 b. 172 c. 174 d. 175 e. 176
There are 5 red balls, 10 blue balls, 8 green balls and 9 black balls in a bag. What is the minimum number of balls to be taken out of the bag to assure that you have all the balls of one color?
If n is an integer, then the least possible value of |8 - 9n| is?
If the simple interest on a sum of money at thirteen percent per annum for two years is Rs.22400, compound interest on the same sum for the same period at the same rate of interest is
The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:
How many 3 digit numbers can be made from the numbers 1,2,3,4,5,6,7,8,9,0
If p^2 – 6p + 8 = q, and p is a positive integer between 1 and 10, inclusive, what is the probability that q < 0?
Total dinning bill for 10 people was $211.00.If they add 15% tip and divided the bill evenly ,approximate.What was each persons find share
If a coin is tossed twice what is the probability that it will land either heads both times or tails both times?
A merchant marks his goods up in such a way that the profit made on selling 30 articles is equal to the cost price of 20 articles. What is the % profit made by the merchant?
You roll two six sided dices together. Can you calculate the probability that the first dice gives the number 2 while the second dice gives the number 5?
Two pipes A and B can separately fill a tank in 2 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?
Round off the given number to nearest hundreds 7456
A trader sells 40 metres of cloth for Rs.8200 at a profit of Rs.55 per metre of cloth. How much profit will the trder earn on 40 metres of cloth?
How many times will the digit 7 be written when listing the integers from 1 to 1000?
Arrange the following in a logical order: 1. Birth 2. College 3. Marriage 4. School 5. Employment
A retailer bought a shirt at wholesale and marked it up 80% to its initial price of $36. By how many more dollars does he need to increase the price to achieve a 100% markup?
Two pipes X and Y can separately fill a cistern in 18 and 24 hours respectively. If they are turned on alternately for one hour each, how long will it take to fill the cistern?
The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length of this rectangle.
A and B together have Rs. 1210. If of A's amount is equal to of B's amount, how much amount does B have?
Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 12 different shirts, 10 different pairs of jeans, and 6 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
Sekar started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000. In 2001, Sekar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000. What will be Rajeev's share in the profit of Rs.1,50,000 earned at the end of 3 years from the start of the business in 1999?
The average of ten numbers is 7. If each number is multiplied by 10, then what is the average of the new set of numbers?
If f(x) = 3x^4 - 4x^3 - 3x^2 + 6x , then f(-1) =
If k is an integer and 2 < k < 7, for how many different values of k is there a triangle with sides of lengths 2, 6, and k?
At their respective rates, pump A, B, and C can fulfill an empty tank, or pump-out the full tank in 2, 3, and 6 hours. If A and B are used to pump-out water from the half-full tank, while C is used to fill water into the tank, in how many hours, the tank will be empty?
At what price must an Book costing $47.50 be marked in order that after deducting 12% from the list price. It may be sold at a profit of 25% on the cost price?
A die is drawed, find the probability that an odd number is draw?
A bucket full of nuts was discovered by the crow living in the basement. The crow eats a fifth of the total number of nuts in 4 hours. How many hours in total will it take the crow to finish a quarter of the nuts?
If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 56, what is the compound interest on the same sum at the rate and for the same time?
A rectangular pig farm has a fence along three sides and a wall along the fourth side. The fenced side opposite the wall is twice the length of each of the other two fenced sides. If the area of the rectangular region is 1250 square feet, what is the total length of the fence, in feet?
If a:b=1:3 and b:c=2:4 find a:b:c?
In a bag containing 3balls, a white ball was placed & then 1ball was taken out atrandom. What is the probability that the extracted ball would turn on to be white, if all possible hypothesis concerning the color of theballs that initiallyin the bag were equally possible ?
What ratio must a shopkeepermix Peas and Soybean of Rs.16 and Rs. 25/kg, As to obtain a mixture of Rs.20 ?
Which is better investment? (I) 7(1/2) % stock at 105 or (II) 6(1/2) % at 94.
In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 9 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
A grocer has a sale of Rs. 1500, Rs. 1500, Rs. 2000, Rs. 2600 for 4 consecutive months. How much sale must he have in the fifth month so that he gets an average sale of Rs. 2000?
A man is 18 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is
A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely ?
The distance between two cities A and B is 870 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?
If the average marks of three batches of 45, 50 and 35 students respectively is 40, 50,55, what is the average marks of all the students?
What would happen in the previous question if both A and B had started at point P.
The number 311311311311311311311 is:
What is the sum of the first 15 terms of an A.P whose 11 th and 7 th terms are 5.25 and 3.25 respectively
Rs.4500 amounts to Rs.5544 in two years at compound interest, compounded annually. If the rate of the interest for the first year is 12%, find the rate of interest for the second year?
A number is increased by 20% and then decreased by 20%, the final value of the number is ?
The sum of prime numbers that are greater than 60 but less than 70 is
An empty fuel tank is filled with brand Z gasoline. When the tank is half empty, it is filled with brand Y gasoline. When the tank is half empty again, it is filled with brand Z gasoline. When the tank is half empty again, it is filled with brand Y gasoline. At this time, what percent K of the gasoline in the tank is brand Z?
A seller bought tea powder packet at 6 for each, how many for a rupee must he sell to gain 20%?
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good?