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big_math_dataset

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here are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
A train travels from New York to Chicago, a distance of approximately 540 miles, at an average rate of 60 miles per hour and arrives in Chicago at 6:00 in evening, Chicago time. At what hour in the morning, New York time, did the train depart for Chicago? (Note : Chicago time is one hour earlier than New York time)
A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 60 percent of the pack would be outfielder cards?
A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Given f(x) = 3x – 5, for what value of x does 2*[f(x)] + 2 = f(3x – 6)
The 19th of September 1987 was a Saturday. If 1988 was a leap-year, what day of the week was the 21st of September 1990?
Last year, for every 100 million vehicles that travelled on a certain highway, 94 vehicles were involved in accidents. If 3 billion vehicles travelled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
X is able to do a piece of work in 14 days and Y can do the same work in 20 days. If they can work together for 5 days, what is the fraction of work completed?
If six persons sit in a row, then the probability that three particular persons are always together is ?
#p is defined as 2p+20 for any number p. What is p, if #(#(#p))=12?
Two motor bikes cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower bike takes 1 hour more than the faster bike ?
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 1 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
A contractor is engaged for 30days on the condition thathe receives Rs.25 for each day he works &is fined Rs.7.50 for each day is absent. He gets Rs.620 in all. For how many days was he absent?
If the first day of a year (other than leap year) was Thursday, then which was the last day of that year?
A sum of money lent out at S.I. amounts to Rs. 720 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is?
Average of five consecutive even numbers is 35. Find the greatest number in these five numbers?
The mean of 50 observations was 36. It was found later that an observation 28 was wrongly taken as 23. The corrected new mean is :
There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?
A box measuring 27 inches long by 15 inches wide by 6 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective?
If the least common subtraction of two prime numbers x and y is 10, where x < y , then the value of 2x + y is
The difference between a two-digit number and the number obtained by interchanging the digit is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1:2?
There are 870 male and female participants in a meeting. Half the female participants and one-quarterof the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
12.5 * 4.2 * 8.8 = ?
15 different biology books and 8 different chemistry books lie on a shelf. In how many ways can a student pick 2 books of each type?
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
50% of a number is added to 200, the result is the same number. Find the number?
What is the probability of getting a number less than 4 when a die is rolled?
If the units digit of n^39 is 7, which of the following could be the value of n? I. n = 41 II. n = 43 III. n = 47
The numbers {1, 3, 6, 7, 7, 7} are used to form three 2-digit numbers. If the sum of these three numbers is a prime number p, what is the largest possible value of p?
Worker A takes 7 hours to do a job. Worker B takes 10 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?
A rower whose speed is 8 km/hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 4 km/hr. What is the rower's average speed (in km/hr) for the total journey?
A , B , C started a partnership business by investing Rs 27000 , 72000 , 81000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?
Mike drives his new Corvette from San Francisco to Las Vegas, a journey of 640 miles. He drives the first half of the trip at an average rate of 80 miles per hour, but has to slow down for the second half of his journey. If the second half of the trip takes him 200 percent longer than the first half, what is his average rate J in miles per hour for the entire trip?
Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 6?
How many 4digit no.'s can be formed using the digits {1, 3, 4, 5, 7,9}repetition of digits is not allowed?
When 1 + 2 = 23, 2 + 3 = 65, 3 + 4 = 127, then 4 + 5 = ?
A man buys oranges at Rs 5 a dozen and an equal number at Rs 4 a dozen. He sells them at Rs 5.50 a dozen and makes a profit of Rs 50. How many oranges does he buy?
Five years ago, the average age of A, B, C and D was 45 years. With E Joining them now, the average of all the five is 48 years. The age of E is?
The average of first seven prime numbers which are odd is?
A side of beef lost 35 percent of its weight in processing. If the side of beef weighed 570 pounds after processing, how many pounds did it weigh before processing?
The ratio of three numbers is 5:1:4 and their sum is 1000. The last number of the three numbers is?
A man goes 6 km against the current of the stream in 3 hr and goes 2 km along the stream in 30 min. How long will it take to go 4 km in stationary water?
There were 45 students in a hostel, if the numbers of students increased by 7, the expenses of the mess were increased by Rs. 39 per day while the average expenditure per head diminished by Re.1. What is the original expenditure of the mess?
A train covers a distance of 12 km in 10 minutes. If it takes 4 seconds to pass a telegraph post, then the length of the train is
What least number should be subtracted from 997 so that the remainder when divided by 5, 9, and 11 will leave in each case the same remainder 3 ?
Bert left the house with N dollars. He spent 1/4 of this at the hardware store, then $8 at the dry cleaners, and then half of what was left at the grocery store. When he got home, he had $10 left in his pocket. What was the value of N?
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 25 hours and 16 hours respectively. The ratio of their speeds is?
Set #1 = {A, B, G, F, E} Set #2 = {K, L, M, N, O, Q} There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?
In a certain company, the formula for maximizing profits is P = -25x^2 + 7500x,, where P is profit and x is the number of machines the company operates in its factory. What value for x will maximize P? This one is from IntegratedLearning. Here's what I did: The OA states: To find a maximum or minimum value of an equation with an exponent in it, you take the derivative of the equation, set it to zero, and solve. I dont really get what that means. So whoever solves it, could you plz post explanation of what the above sentence mean as well?
The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is:
Ramu crosses a 1000 m long street in 10 minutes. What is his speed in km per hour?
3x+4y=10 x3 + y3=6 What is the minimum value of 3x+11y=?
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
A train 150 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
Working alone, A can complete a certain kind of job in 12 hours. A and D, working together at their respective rates, can complete one of these jobs in 4 hours. In how many hours can D, working alone, complete one of these jobs?
A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so?
Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?
A coin is tossed 4 times. What is the probability x that the number of Heads is equal to the number of Tails?
How many two letter words are formed using the letters of the word MACHINE?
If 9 persons can do 9 times of a particular work in 9 days, then, 7 persons can do 7 times of that work in?
A boat running up stram takes 6 hours to cover a certain distance, while it takes 9 hours to cover the same distance running down stream. what is the ratio between the speed of the boat and the speed of water current respectively?
The average of 20 numbers is zero. Of them, How many of them may be greater than zero, at the most?
At the end of the first quarter, the share price of a certain mutual fund was 20 percent higher than it was at the beginning of the year. At the end of the second quarter, the share price was 50 percent higher than it was at the beginning of the year. What was the percent increase in the share price from the end of the first quarter to the end of the second quarter?
Which of the following is a prime number ?
A cistern can be filled by pipes A, X in 3 minutes 45 seconds. If the larger pipe takes 4 minutes less than the smaller pipe to fill the cistern, how much time will the smaller pipe take to fill the tank?
How many even integers from 1 to 200 (both inclusive) have even number of factors?
What annual payment will discharge a debt of Rs. 1025 due in 2 years at the rate of 5% compound interest?
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?
An Indian company plans to assign identification numbers to its employees. Each number is to consist of four different digits from 0 to 9, inclusive, except that the first digit cannot be 0. How many different identification numbers are possible?
A set of consecutive positive integers beginning with 1 is written on the blackboard. A student came along and erased one number. The average of the remaining numbers is 35*7/17. What was the number erased?
In a drawer of shirts 8 are blue, 6 are green and 4 are magenta. If Mason draws 2 shirts at random, what is the probability R at least one of the shirts he draws will be blue?
A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
A man has Rs. 640 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
A trader sells 92 meters of cloth for Rs. 9890 at the profit of Rs. 24 per metre of cloth. What is the cost price of one metre of cloth?
In a 500 m race Dishu beats Abhishek by 100 m or 5 seconds. In another race on the same track at the same speeds. Abhishek and Prashant start at one end while Dishu starts at the opposite end. How many metres would Abhishek have covered, by the time Dishu meets Prashant given that Dishu's speed is 10 m/sec more than that of Prashant.
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?
The speed of a boat in upstream is 20 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
in what proportion water to be mixed with spirit to gain 12.5% by selling it at cost price?
The length of a rectangle is doubled while its width is doubled. What is the % change in area?
The table below shows the enrollment in various classes at a certain college. Class | Number of Students Biology | 60 Physics | 35 Calculus | 40 Although no student is enrolled in all three classes, 15 are enrolled in both Biology and Physics, 10 are enrolled in both Biology and Calculus, and 12 are enrolled in both Physics and Calculus. How many different students are in the three classes?
Students of three different classes appeared in common examination. Pass average of 10 students of first class was 65%, pass average of 15 students of second class was 60% and pass average of 25 students of third class was 80% then what will be the pass average of all students of three classes?
Bhanu spends 30% of his income on petrol on scooter 30% of the remaining on house rent and the balance on food. If he spends Rs.300 on petrol then what is the expenditure on house rent?
A boat crossed a lake from North to South at the speed of 4 km/h, entered a river and covered twice as much distance going upstream at 3 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 4 km/h that day, what was its approximate downstream speed?
A batsman makes a score of 80 runs in the 11th inning and thus increases his average by 5. Find his average after 11th inning.
For what values of k is the system of equations independent? The equations are as follows: kx + 5y = 3; 3x + 4y = 9
If it is 4:37 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.)
The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is?
A train 700 m long can cross an electric pole in 20 sec and then find the speed of the train?
What is the 28th digit to the right of the decimal point in the decimal form of 5/11?
If E:F = 3:1 and F:G = 5:2 then E:F:G is
If a trader sold two cars each at Rs. 325475 and gains 15% on the first and loses 15% on the second, then his profit or loss percent on the whole is?
If the first day of a year (other than leap year) was Wednesday, then which was the last day of that year?
A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is
A fair coin is tossed 5 times. What is the probability that it lands heads up at least twice?
If 8a = 9b and ab ≠0, what is the ratio of a/9 to b/8?
The avg weight of A,B & C is 70 kg. If D joins the group, the avg weight of the group becomes 70 kg.If another man E who weights is 3 kg more than D Replaces A, Then the avgof B,C,D&E becomes 68 kg. What is the weight of A?
How many legs are there if each sheep has 4 legs and there are total 250 of that kind?
A, B and C rents a pasture for Rs.1073. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
If 14 men working 6 hours a day can do a work in 88 days. Then 6 men working 8 hours a day can do it in how many days?