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big_math_dataset

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Find the middle one when The sum of three consecutive even numbers is 36?
What is the value of √81% ?
26 men can complete a piece of work in 8 days. In how many days will 25 men complete the same work?
A train 110 m long passes a man,running at 6 kmph in the direction opposite to that of the train,in 6 seconds.The speed of the train is
How many 6 letter words ( with or without meaning) can be formed using all the following 5 lettersV, P,Q,R,S,and T so that letter P is to the left of letter R?
If sq. root of(x)/|y| = -1 which of the following must be true?
35 - [23 - {15 - x}] = 12 × 2 ÷ 1/2
A boat goes 100 km downstream in 8 hours, and 75 Km upstream in 15 hours. The speed of the stream is?
A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is
Set M contains numbers that satisfy the condition that, if integer x is in the set then x-3 will also be in the set M. If -4 is one of the value in the set, which of the following numbers must also be present in the set M. I.-7 II. -1 III. 2
Carol spends 1/4 of her savings on a stereo and 1/6 less than she spent on the stereo for a television. What fraction of her savings did she spend on the stereo and television?
A man can swim in still water at 3 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
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 4 p.c?
You have 5 sticks of lengths 10, 20, 30, 40, 50 centimeters. The number of non-congruent triangles that can be formed by choosing three of the sticks to make the sides is
A clockwise rotation around point Z (that is, a rotation in the direction of the arrow) transforms the shaded quadrilateral to the unshaded quadrilateral. The angle of rotation is approximately
An error 19% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square?
Find 95 ×× 98
The total of company C's assets in 1994 was 250% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:
Set S is the prime integers between 0 and 45. If three numbers are chosen randomly from set S, what is the probability that the sum of these three numbers is odd?
A drink vendor has 50 liters of Maaza, 144 liters of Pepsi and 368 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required?
The sum of all two digit numbers divisible by 9 is
x + y = 19 , and x + 3y = 1. Find the value of x + 2y
The toll T, in dollars, for a truck using a certain bridge is given by the formula T = 2.50 + 0.50( x − 2), where x is the number of axles on the truck. What is the toll for an 18-wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles?
Four athletes, Wen-Wen, Mikaila, Brian, and Jamal, won gold medals in the Olympics. If Mikaila won 2 more than Brian did, Jamal won 6 less than Wen-Wen did, and Wen-Wen won 2 more than Mikaila did, how many more gold medals did Brian win than Jamal did?
John and Mike enter into a partnership by investing $700 and $300 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in...
Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively?
In an election contested by two parties, Party E secured 2% of the total votes more than Party F. If party R got 147,000 votes, by how many votes did it lose the election?
The weight of a hollow sphere is directly dependent on its surface area. The surface area of a sphere is 4π·R^2, where R is the radius of the sphere. If a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams E?
A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
How many 4x4x4 cubes could fit in a 9x13x16 box?
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 T of a cube whose surface area is equal to 6z?
Which number is the odd one out? 571219 461016 831114 461016 971613 781523
A positive integer is divisible by 3 if and only if the sum of its digits is divisible by 3. If the six-digit integer is divisible by 3, and n is of the form 12k,k24, where k represents a digit that occurs twice, how many values could n have?
If x ≥ 0, y ≥ 0 and (x + y) ≤ 1, then the maximum value of (2x + 3y) is
Each of the cucumbers in 100 pounds of cucumbers is composed of 99% water, by weight. After some of the water evaporates, the cucumbers are now 95% water by weight. What is the new weight of the cucumbers, in pounds?
A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the probability Q that the 2 apples selected will include the spoiled one?
A tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride. The proportion of sodium chloride in the tank is 50% by volume and the capacity of the tank is 24 gallons. If the water evaporates from the tank at the rate of 0.5 gallons per hour, and the amount of sodium chloride ...
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 90%, which of the following is closest to the percent change in the concentr...
Three is the largest number that can be divided evenly into 27 and the positive integer x, while 10 is the largest number that can be divided evenly into both 100 and x. Which of the following is the largest possible number that could be divided into x and 2500
The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of R is?
A restaurant spends one fifth of its monthly budget for rent and half of the rest for food and beverages. What percentage of the budget does the restaurant spend for food and beverages?
When positive integer d is divided by 6, the remainder is 1. Which of the following must be true? I. d is a prime number II. d is odd III. d is divisible by 7
How many even integers from 1 to 100 (both inclusive) have EVEN number of factors?
John must arrange 2 different physics books and 3 different mathematics books on one shelf. If the first book on the leftmost side is a mathematics book and no physics book is next to another physics book. How many different arrangements exist?
If a month of the year is chosen randomly, how likely is it that it contains 5 or fewer letters, or that the month starts with a "J"?
Find the number of ways of arranging a girl and 20 boys at a circular table so that the girl always sits in a particular seat?
An even and an odd integer are multiplied together. Which of the following numbers could not be the square of their product?
The radius of a cylinder is 6 m, height 21 m. The total surface area of the cylinder is?
What will come in place of the x in the following Number series? 40, 160, x, 2560, 10240
There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
A frame 2 inches wide is placed around a rectangular picture with dimensions 8 inches by 12 inches. What is the area of the frame, in square inches?
How many liters of oil at Rs.40 per liter should be mixed with 240 liters of a second variety of oil at Rs.60 per liter so as to get a mixture whose cost is Rs.52 per liter?
A train 300 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 150 m long?
The maximum numbers of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is
What is the units digit of 26! + 50! + 4! + 4!?
There are 13 South American countries, Annie has won a ticket to fly from Denver to one South American country and then directly to another South American Country before returning home to Denver again. Assuming there are four airports in each country, how many flights paths can Annie choose from?
In the class of 50 students, 30 speak Tamil and 30 speak Telugu. What is the lowest possible number of students who speak both the languages?
A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:
A cube of side 5 cm is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?
How many 3-digit numbers are completely divisible 6 ?
workers in a factory store products inside two different sized boxes. The bigger of the boxes can store 50 products while the smaller box can store 40 products. If a fresh batch of products numbering 212 in total were to be stored, what is the least number of products that will not be boxed?
In 1937, the ship of the great sailor SINBAD left an Egyptian port heading Ivory coast at Q mile/month . One month later another ship of the greatest pirate ever CHENG I SAO was 5000 miles due south of the same Egyptian port and heading due north at Y miles/month. Six months later after the leaving of Sinbad’s ship fro...
J is 25% less than P and 20% less than T. T is t% less than P. What is the value of t?
In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 6% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three ...
Sara bought both German chocolate and Swiss chocolate for some cakes she was baking. The Swiss chocolate cost $3.5 per pound, and German chocolate cost $2.8 per pound. if the total the she spent on chocolate was $28 and both types of chocolate were purchased in whole number of pounds, how many total pounds of chocolate...
A School has 15 teaching staff and 10 non teaching staff. The 15 teaching staff have an average salary of $1000. The average salary of the 10 non teaching staff is $500. What is the average salary for the school?
In an increasing sequence of 8 consecutive even integers, the sum of the first 4 integers is 212. What is the sum of all the integers in the sequence?
The ratio of two numbers is 3:4 and their sum is 28. The greater of the two numbers is?
A train running at 1/5 of its own speed reached a place in 10hours. How much time could be saved if the train would have run at its own speed?
Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 cm x 6 m when 10% of its volume is occupied by mortar ?
The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?
For a finite sequence of non zero numbers, the number of variations in the sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is negative. What is the number of variations in sign for the sequence 10, -3, 20, 5, -4, 6, -7 , 12?
How many positive numbers are in a sequence of z numbers, if the sequence alternates between positive and negative numbers and z is an odd number. The sequence starts with a negative number.
we need to carve out 125 identical cubes from a cube . what is the minimum number of cuts needed?
2 hours after train A leaves Lucknow a train B leaves the same stationtraveling in the same direction at an average speed of 28 km/hr. After traveling 6 hrsthe train B overtakes the train A. What is the average speed of the train A?
A train moves with a speed of 189 kmph. Its speed in metres per second is
Rajesh can finish 1/3 of his home work in one hour. Seema can finish 3/7 of her homework in 65 minutes and Ramya can finish 3/4 of her homework in three and a half hours. If all of them start their home work at 12.00 PM and can go to play as soon as they all finish their homework. When can they start to play, if they t...
In the xy-coordinate system, if (m, n) and (m + 3, n + k) are two points on the line with the equation x = 2y + 5, then k =
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
A letter lock consists of four rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most ?
How many liters of water must be added to 20 liters of milk and water containing 10% water to make it 60% water?
(32323 + 7344 + 41330) - (317 x 91) = ?
X divided by Y equals 54.36 what is a possible remainder?
Two trains 140 metre and 160 metre long run at the speed of 60 km/hr and 40 km/hr respectively in opposite direction on parallel tracks. What time these will take to cross each other ?
The perimeter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
How many positive integers less than 100 have a remainder of 5 when divided by 13?
Anand and Deepak started a business investing Rs. 800 and Rs. 1200 respectively. Out of a total profit of Rs. 2000, Deepak's share is:
By what least number 4320 be multiplied to obtain a number which is a perfect cube?
The product of all the prime numbers less than 27 is closest to which of the following powers of 10?
A works thrice as much as B. If A takes 60 days less than B to do a work then find the number of days it would take to complete the work if both work together?
1⁄5 of a number is equal to 5⁄8 of the second number. If 35 is added to the first number then it becomes 4 times of second number. What is the value of the second number?
Calculate the L.C.M of 7/10, 8/ 9, 3/8, 5/12 is :
A man can row a boat at 13 kmph in still water. If the speed of the stream is 5 kmph, what is the time taken to row a distance of 33 km downstream?
Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
A circular rim 28 inches in a diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes A revolutions per second, how many revilutions per minute does the larger rim makes in terms of A?
The population of a town increased from 75,000 to 82,500 in a decade. The average percent increase of population per year is :
P beats Q by 5 seconds in a race of 1000 m and Q beats R by 5 metres in a race of 100 m. By how many seconds does P beats R in a race of 1000 m?
An artist wishes to paint a circular region on a square poster that is 4 feet on a side. If the area of the circular region is to be 1/2 the area of the poster, what must be the radius of the circular region in feet?
A certain machine produces 850 units of product P per hour. Working continuously at this constant rate, this machine will produce how many units of product P in 7 days?