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big_math_dataset

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If 8 parallel lines in a plane is intersected by a family of another 8 parallel lines, how many parallelograms are there in the network thus formed?
A coin is tossed three times. What is the probability that there is at the least one tail?
If X+Y = 2X+2Z, X-2Y = 2Z and X+Y+Z = 21, what is the value of Y/Z?
A, B and C enter into a partnership. A invests 3 times as much as B invests and 2/3 of what C invests. At the end of the year, the profit earned is Rs. 22000. What is the share of C?
Three photographers, Lisa, Mike and Norm, take photos of a wedding. The total of Lisa and Mikes photos is 60 less than the sum of Mike's and Norms. If Norms photos number 10 more than twice the number of Lisa's photos, then how many photos did Norm Take?
In a camp,there is a meal for 120 men or 200 children.If 110 children have taken the meal,how many men will be catered to with the remaining meal ?
How many keystrokes are needed to type numbers from 1 to 1000?
A man invests in a 16% stock at 128. The interest obtained by him is
The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is:
In the island of Hanoi is trapped a princess. To rescue her, the prince has to transfer a set of rings numbered 1 to 7 from tower A to tower C. The rings are stacked one over the other in an order, with 1 at the top and 6 at the bottom, and have to be stacked in the same fashion on tower C. The prince can move only one ring at a time, and can store the rings in a stack, temporarily, in another tower B.Minimum how many moves of rings, between the towers, will it take the prince to arrange the rings in tower C ?
In how many ways a committee consisting of 5 women and 6 men can be formed from 8 women and 10 men?
Paul's income is 40% less than Rex's income, Quentin's income is 20% less than Paul's income, and Sam's income is 40% less than Paul's income. If Rex gave 60% of his income to Sam and 40% of his income to Quentin, Quentin's new income would be what fraction of Sam's new income?
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
12 points lie on a circle. How many cyclic quadrilaterals can be drawn by using these points?
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 36 sec. What is the length of the platform?
The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common?
Find the value of 15 + 2 • (8 – 3)
5 blue marbles, 3 red marbles and 4 purple marbles are placed in a bag. If 4 marbles are drawn without replacement, what is the probability that the result will not be 2 blue and 2 purple marbles?
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
A restaurant spends one quarter of its monthly budget for rent and two thrid of the rest for food and beverages. What percentage of the budget does the restaurant spend for food and beverages?
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 108 km/hr. What is the length of the platform?
One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle? I. 24 II. 20 III. 5
A man took some money for borrowed, for 3 years the total will be Rs.5000 and 5 years it will be Rs.6000/-. Then how much amount he borrowed?
In june a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50% .How many games must the team have won in a row to attain this average?
For any 4 given numbers, which of the following is always equivalent to adding the 3 numbers together and then dividing the sum by 3? I. Ordering the 3 numbers numerically, from highest to lowest, and then selecting the middle number. II. Dividing each of the numbers by 3 and then adding the results together. III. Multiplying each number by 6, adding the resulting products together, and then dividing the sum by 9.
A train is 100 meter long and is running at the speed of 30 km per hour. Find the time it will take to pass a man standing at a crossing.
In 1979 approximately 1/3 of the 37.3 million airline passengers traveling to or from the United States used Kennedy Airport. If the number of such passengers that used Miami Airport was 1/4 the number that used Kennedy Airport and 3 times the number that used Logan Airport, approximately how many millions of these passengers used Logan Airport that year?
In a certain bathtub, both the cold-water and the hot-water fixtures leak. The cold-water leak alone would fill an empty bucket inchours, and the hot-water leak alone would fill the same bucket inhhours, wherec < h. If both fixtures began to leak at the same time into the empty bucket at their respective constant rates and consequently it tookthours to fill the bucket, which of the following must be true? I. (c/2) < t < (h/2) II. c < t < h III. 0 < t < h
A certain boxer has agreed to pay his opponent a fee of 2.5% of his total purse for every pound over the specified weight limit he weighs in. If the boxer pays his opponent a fee of $26,250 after weighing in eight pounds over the specified limit, what was the boxer's purse?
The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
A triangle having three sides 10 cm, 17 cm, and 21 cm.A square is formed by one side lying on the longest side of the triangle.What is the maximum possible Area of the square found inside the triangle?
The difference between two numbers is 2395. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is
Five unbiased coin are tossed. What is the probability of getting atmost one head?
if 8^25 divided by 7 then what is reminder
An integer n between 1 and 100, inclusive, is to be chosen at random. What is the probability that n(n+1) will be divisible by 4 ?
A can do a work in 15 days B in 14 days and C in 16 days . If they work on it together then in how many days required to complete the work?
(0.12)(power 3) - (0.1)(power 3)/ (0.12)(power 2) + 0.012 + (0.1)(power 2) is:
Find the no.of ways of arranging the boy and 3 guests at a circular table so that the boy always sits in a particular seat?
8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the water is 16 : 65. How much wine the cask hold originally ?
January 1, 2008 is Tuesday. What day of the week lies on Jan. 1, 2009 ?
A woman can row upstream 14 kmph and downstream 26 kmph. Find the rate of the stream and woman rate in still water.
Find the odd man out 2, 4, 8, 16, 24, 32,64
If 148 is multiplied first by 163 and then by 236, Which of the following numbers would come at the unit's place?
A pupil's marks were wrongly entered as 85 instead of 33. Due to that the average marks for the class got increased by half. The number of pupils in the class is :
If in a certain code "RANGE" is coded as 12345 and "RANDOM" is coded as 123678. Then the code for the word "MANGO" would be
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
Amit and Ananthu can do a work in 10 days and 20 days respectively. Amit started the work and left after 2 days. Ananthu took over and completed the work. In how many days was the total work completed?
Ms. Williams sold two properties, X and Y, for $20,000 each. She sold property X for 20 % more than she paid for it and sold property Y for 20% less than she paid for it. If expenses are disregarded , what was her total net gain or loss, if any, on the two properties ?
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
In how many ways can a cricket eleven be chosen out of a batch of 15 players ?
Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
hree unbiased coins are tossed. What is the probability of getting at least 2 tails?
In a weight-lifting competition, the total weight of Joe's two lifts was 1800 pounds. If twice the weight of his first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift?
Ashwin rented a power tool from a rental shop. The rent for the tool was $25 for the first hour and $10 for each additional hour. If Ashwin paid a total of $125, excluding sales tax, to rent the tool, for how many hours did she rent it?
A thief is noticed by a policeman from a distance of 220 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?
The sum of money at compound interest amounts to thrice itself in 4 years. In how many years will it be 15 times itself?
A bag contains 3 red, 3 green and 3 white balls. Three balls are picked up one by one without replacement. What is the probability that there will be at least one red ball?
A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast?
John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 12 minutes earlier. How far is the office from his house?
Ten years ago, Q was half of R's age. If the ratio of their present ages is 3:4, what will be the total of their present ages?
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Rs.630/- distributed among A,B and C such that on decreasing their shares by RS.10,RS.5 and RS.15 respectively, The balance money would be divided among them in the ratio 3:4:5. Then, A’s share is:?
In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
If q>0.9, which of the following options can be the value of q?
After working for 6 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work?
After deducting a commission of 5% a T.V. set costs Rs. 9595. Its gross value is ?
During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. she stopped again after she traveled 1/4 of the distance remaining between her first stop and her destination, and then she drove the remaining 105 miles to her detination. What was the total distance, in miles from Maria's starting point to her destination?
A train traveling at 144 kmph crosses a platform in 30 seconds and a man standing on the platform in 12 seconds. What is the length of the platform in meters?
Difference between the length &breadth of a rectangle is 10 m. If its perimeter is 80 m, then its area is??
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
What values of 'x' will be the solution to the inequality 15x - 2/x > 1?
In case K is the only individual sewing on committee B, which among the following shouldserve on committee A?
What is the sum of digits of (5!*4!*3!*2! - 144*120)/5!
Find the distance covered by a man walking for 42 min at a speed of 10km/hr?
Which expression has the greatest value?
If positive integer k is divided by 14, the quotient is m and the remainder is 2, then which of the following must be true? I. k + m is even II. k cannot be a prime number III. k is divisible by 4
An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 44.5 meters. How many times did the ball bounce?
A can do a work in 24 days and B can do it in 8 days. In how many days A and B can do the work?
A gambler bought $5,000 worth of chips at a casino in denominations of $20 and $100. That evening, the gambler lost 16 chips, and then cashed in the remainder. If the number of $20 chips lost was 2 more or 2 less than the number of $100 chips lost, what is the largest amount of money that the gambler could have received back?
A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:
What is the ratio whose term differ by 50 and the measure of which is 2/7?
The average (arithmetic mean) of 16 students first quiz scores in a difficult English class is 62.5. When one student dropped the class, the average of the remaining scores increased to 65.0. What is the quiz score of the student who dropped the class?
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
If $1092 are divided between worker A and worker B in the ratio 5:8,what is the share that worker B will get?
The public library has exactly 2 floors. It has 2/3 as many shelves on its 2nd floor as it does on its 1st. If the second floor has 1/6 as many books per shelf as the first floor, what fraction of the library's books are on the first floor?
The two lines y = x and x = -4 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length E of a cube whose surface area is equal to 6z?
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?
A straight line in the xy- plane has y-intercept of 79 and slope of 6. On this line the y-coordinate of the point is 14, then what is the X-coordinate of the point?
Find the value of * in the following (1 5/3) ÷ 3/11 × */11 = (2 2/3 × 7/5 × 6/7)
A car covers a distance of 624 km in 4 hours. Find its speed?
7500 + (1250 / 50)
A driver paid n dollars for auto insurance for the year 1997. This annual premium was raised by p percent for the year 1998; for each of the years 1999 and 2000, the premium was decreased by 1/6 from the previous year’s figure. If the driver’s insurance premium for the year 2000 was again n dollars, what is the value of p?
Which of the following is equal to the cube of a non-integer?
Two sides of a triangle have lengths x and e and meet at a right angle. If the perimeter of the triangle is 4x, what is the ratio of x to e ?
Sebastian bought a meal at a restaurant and left a 15% tip. With the tip, he paid exactly $36.11. How much did the meal cost without the tip?
A amount doubles itself in 15 years. what is the rate of interest?
In a certain appliance store, each model of television is uniquely designated by a code made up of a particular ordered pair of letters. If the store has 15 different models of televisions, what is the minimum number of letters that must be used to make the codes?
The number of stamps that P and Q had were in the ratio of 7:3 respectively. After P gave Q 13 stamps, the ratio of the number of P's stamps to the number of Q's stamps was 5:4. As a result of the gift, P had how many more stamps than Q?