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big_math_dataset

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Which of the following cannot be divided by 3 (the sum of 3 different prime numbers)?
A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
In a stack of cards, 9 cards are blue and the rest are red. If 2 cards are to be chosen at random from the stack without replacement, the probability that the cards chosen will both be blue is 9/11. What is the number of cards in the stack?
Mrs. Evans gave a test to her freshmen economics class, which has 50 students enrolled and 25 of them answered question 1 correctly. If 20 answered question 2 correctly and 20 did not take the test then how many answered both questions correctly?
Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/7 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?
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 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?
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?
If a man buys 25 lollipops for $100 and sold them for $3 dollars determine his loss.
4242 × 9999 = ?
The number of livestock in a farm at the beginning of year 2000 was 120,000. During the year, the number increased by p%. During the next year 2001, there was a famine and the number decreased by q%. A census at the end of year 2001 revealed that the number of livestock in the farm was 120,000. Which of the following expressions is correct?
A fellow borrowed a certain sum of money at 5% per annum at simple interest and in 5 years the interest amounted to Rs.750 less than the sum lent. What was the sum lent?
Find the value of 3.5 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 3 characters in length. This year, it added the option of creating passwords having 4 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept? Assume there are 62 unique alphanumeric case sensitive characters.
If the length of a rectangle is increased by 20% and the breadth is reduced by 20%, what will be the effect on its area?
How many seconds will a 500 meter 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?
Two trains 120 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
A faucet, partially on, fills a bucket with water at a rate of r buckets per minute. If the faucet is turned up it will fill the same bucket at a rate r + 2 buckets per minute, and the same bucket would fill in 2/3 minute less. What is the value of r?
An automobile manufacturer offers a station wagon with either a 10-cylinder engine or a 8-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 10-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon?
An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
What is the 124th digit to the right of the decimal point in the decimal form of 24/44?
Two pipes can fill a tank in 18 minutes and 6 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?
The average age of a group of 18 students was 20. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group?
A person spent Rs. 7,540 from his salary on food and 5,690 on house rent. After that he was left with 60% of his monthly salary. What is his monthly salary ?
The ratio between the length and the breadth of a rectangular park is 3 : 1. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
A man’s speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. the man’s speed against the current is :
22 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres?
Set A consists of all the prime numbers between 6 and 42. What is the range of set A?
Excluding stoppages, the speed of a bus is 86 kmph and including stoppages, it is 76 kmph. For how many minutes does the bus stop per hour?
A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?
A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?
189. The inside dimensions of a rectangular wooden box are 2 inches by 4 inches by 6 inches. A cylindrical canister is to be placed inside the box so that it stands upright when the closed box rests on one of its six faces. Of all such canisters that could be used, what is the radius, in inches, of the one that has maximum volume?
A man can row upstream at 25 kmph and downstream at 55 kmph, and then find the speed of the man in still water?
Several people are sitting around a round table playing a card game with a deck of 56 cards. Each person is dealt one card per deal, and the cards are dealt in a clockwise fashion. If Martin is dealt both the first card of the deck and the last card of the deck, which of the following could be the total number of people sitting at the table?
8 points are marked on a straight line and another 7 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
In a partnership between A, B and C. A's capital is Rs.7000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 700 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours on a stormy day?
Kim bought a total of $2.65 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 4-cent stamps she could have bought ?
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 9 sec. What is the length of the platform?
A certain club has 10 members, including Tarry. One of the 10 members is chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Tarry will be either the member chose to be secretary or the member chose to be treasurer?
At what time between 4 & 5 will the hands of a watch point in opposite directions?
If the sum of two numbers is 22 and the sum of their squares is 386, then the product of the numbers is
What will be the difference between simple and compound interest at 10% per annum on a sum of Rs. 1000 after 4 years?
Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part?
The length of the side of a square is represented by x+2. The length of the side of an equilateral triangle is 2x. If the square and the equilateral triangle have equal perimeter,then the value of x is ?
The 4 sticks in a complete bag of Pick-Up Sticks are all straight-line segments of negligible width, but each has a different length: 1 inch, 2 inches, 3 inches, and 4 inches, respectively. If Tommy picks a stick at random from each of 3 different complete bags of Pick-Up Sticks, what is the probability S that Tommy CANNOT form a triangle from the 3 sticks?
What is the sum of all 3 digit positive integers that can be formed using the digits 1, 5, and 8, if the digits are allowed to repeat within a number W?
List I: 2, 6, 8, 19 List II: x, 2, 6, 8, 19
David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross ?
By selling a book for 200, 20% profit was earned. What is the cost price of the book?
What will come in place of the x in the following Number series? 5,28,57
What is the average of four tenths and six thousandths
A Purse contains a total of 93 coins in the form of one rupee and 50 paise coins. If the total value of coins in the Purse is Rs.56, find the number of 50 paise coins in the Purse?
By selling a watch for Rs.400/-, a man loses 20% what is that watch cost price?
If the original mass of an element, in grams, is a whole number and the element has decayed by exactly 93 percent in some time period, which of the following could be the final mass of that element?
At exactly what time past 5:00 will the minute and hour hands of an accurate working clock be precisely perpendicular to each other for the first time?
Which of the following is greatest?
P, Q, R enter into a partnership. P initially invests 25 lakh & adds another 10 lakhs after one year. Q initially invests 35 lakh & withdrawal 10 lakh after 2 years and R invests Rs 30 Lakhs . In what ratio should the profit be divided at the end of 3 years?
The admission charge in a water park is $1 by adult and $0.75 by child accompanying an adult. How much was there of child with an adult who paid in quite $3.25 to have access to the water park?
A five digit number is to be formed using each of the digits 1, 2, 3, 4 ONLY ONCE. How many numbers can be formed when 1 and 2 are not together ?
In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together.
5 and 20 are the first two terms in a geometric sequence. What is the arithmetic difference between the 10th term and the 12th term?
Look at this series: 1.5, 2.3, 3.1, 3.9, ... What number should come next?
David obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, mathematics, physics, chemistry and biology. What are his average marks?
A certain class of students is being divided into teams. The class can either be divided into 12 teams with an equal number of players on each team or 24 teams with an equal number of players on each team. What is the lowest possible number of students in the class?
Find all rational zeros of P(x) = x3 - 7x + 6.
What is the remainder when 3^29 is divided by 5?
Find out the square of a number which when doubled exceeds its one nineth by 17 ?
The probability of Sam passing the exam is 1/2. The probability of Sam passing the exam and Michael passing the driving test is 1/6. What is the probability of Michael passing his driving test?
Mr. Wayne bungee jumps from the top of a building straight to the ground at a constant speed. 3 seconds after he starts plummeting he passes the 20th floor. 15 seconds after he starts plummeting he passes the 5th floor. Each floor is 3.8 meters high. What is Mr. Wayne's speed in meters per second?
Manie spent 2⁄5 of her money on new clothes and then deposited 1⁄2 of what remained into her savings account. If she then had $21 left, how much did she have at the start?
If John takes 5 minutes to eat x raisins, how many seconds will it take him to eat z raisins, assuming he continues to eat at the same rate?
If there are 35 red and blue marbles in a jar, and the ratio of red to blue marbles is 3:4, what is the probability that, drawing twice, you will select two red marbles if you return the marbles after each draw?
A firm has 5 senior partners and 7 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner? (Note that two groups are considered different if at least one group member is different.)
If the sum of two numbers is 45 and the H.C.F and L.C.M of these numbers are 3 and 100 respectively, then the sum of the reciprocal of the numbers is equal to:
Which of the following lines is perpendicular to y = − 2x + 3 and has the same y-intercept as y = 2x − 6?
Which of the following could be the value of x, if |4x – 2| = 10?
In a hotel we can order two types of varieties, but we can make 4 more varieties in home. One can choose the four varieties with two from hotel as must. Find how many ways one can order.
Calculate the fourth proportional to 5.2, 6.6 and 9.1?
A group of college friends plan to rent a house together for x dollars per month, which is to be shared equally among them. If four, rather than seven people rent the house together, how many more dollars, in terms of x, will each person have to pay for rent per month?
A train passes a station platform in 32 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Eighteen years ago, a father was three times as old as his son. Now the father is only twice as old his son. Then the sum of the present ages of the son and the father is?
In what time will a train 110 m long cross an electric pole, it its speed be 144 km/hr?
At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
Find out the wrong number in the series. 6, 12, 48, 102, 384, 768, 3072
Manet has to pay back her bank loan over 9 months following the below sequence. $50, $55, $65, $80, $85, $95, $110, $115, ? How much will she pay back on the ninth month?
The difference between the local value and the face value of 7 in the numeral 32675149 is
In a workshop there are 4 kinds of beds, 2 kinds of closets, 2 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?
Find the largest number of four digits exactly divisible by 12,15,18 and 27.
A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?
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?
The perimeters of two squares are 40 cm and 24 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares .
The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
A coin is tossed live times. What is the probability that there is at the least one tail?
A man can row a boat at 18 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
The ratio of the first and second class fares between two stations is 3 : 1 and that of the number of passengers travelling between the two stations by the first and the second class is 1 : 50. If in a day, Rs. 1, 325 are collected from the passengers travelling between the two stations, then the amount collected from the second class from the second class passengers is
In a class, 5 people like baseball and football, 2 people only like baseball, 3 people only like football, and 6 people like neither. How many people are in the class?
Mr. Sam's car gets him 50 miles per gallons of gas. If Mr Sam get a full tank with 14 gallons of gas, How far can Mr Sam go?
The least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a ratio less than 16 : 21, is
In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?