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What is the smallest positive integer n such that 6,480n^1/2
What is the smallest positive integer n such that 6,480*\sqrt{n} is a perfect cube?A. 5B. 5^2C. 30D. 30^2E. 30^4
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Is x > y? (1): sqrt(x) > y, (2): x^3 > y
Is x > y?(1) sqrt(x) > y(2) x^3 > yHi, I want to know if we can solving this without picking numbers, please.
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Which of the following numbers
Which of the following numbers is prime?A) 2^16 + 1B) 2^31 + 3^31 C) 4^66 + 7^66 D) 5^82 2^82 E) 5^2881 + 7^2881
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Mixtures
A certain shade of grey paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. If 2 gallons of the mixture is needed and the individual colors can be purchased only in one...
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If N is a two-digit even integer, is N < 20?
If N is a two-digit even integer, is N < 20?(1) The product of the digits of N is less than the sum of the digits of N.(2) The product of the digits of N is positive.
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A merchant paid $300 for a shipment of x identical
A merchant paid $300 for a shipment of x identical calculators. The merchant used 2 of the calculators as demonstrators and sold each of the others for $5 more than the average (arithmetic mean) cost...
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If x, y, and z are integers greater than 1 and (3^27)(35^10)
If x, y, and z are integers greater than 1, and (3^27)(35^10)(z) = (5^8)(7^10)(9^14)(x^y), then what is the value of x?(1) z is prime(2) x is primeOE:[Reveal] Spoiler: (3^27)(35^10)(z) =...
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Geometry
A square board that has an area of 25 sq.inches is to be cut into pieces, each of which is a square with sides of length 1,2,3 inches. What is the least number of such square pieces into which the...
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Word Problem
Each machine of type A has 3 steel parts and 2 chrome parts. Each machine of type B has 4 steel parts and 7 chrome parts. If a certain group of type A and type B machines has a total of 20 steel parts...
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Permutation and Combination Conceptual Question
5 balls are to be put in 3 boxes. In how many ways can this be done if:-a)Balls are identical and boxes are differentb)balls are different and boxes are identicalc)both boxes and balls are...
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To earn grade B in her class Deepthi must have an average
To earn grade B in her class Deepthi must have an average score of 75% in examination. She has taken 4 examinations so far. What is the minimum percentage she must get in the fifth examination to earn...
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How many factors does the integer 9999 have?
How many factors does the integer 9999 have? 6 8 10 12 15
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If |x|=−x, which of the following must be true?
If |x|=x, which of the following must be true? x0 x0 x2>x x3<0 2x<xNeed fundamental analysis.....
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Please answer this Doubt
Can somebody please help me solve this Question The rental charge for a car is 34 cents for the first 14 mile driven and 6 cents for every 15 mile driven over the initial 14 mile. If a man paid $1.24...
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Permutation and Combination Conceptual Question
5 balls are to be put in 3 boxes. In how many ways can this be done if:-a)Balls are identical and boxes are differentb)balls are different and boxes are identicalc)both boxes and balls are...
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A motorcycle importer is planning on increasing the price of
A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 5 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to...
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Algebra
According to me there are 2 solutions for x for option 2 and multiple solutions for option 1 as well (as x can be a non-integer ex. 4.5 or 5 or 5.5) So i think it should be E. But its not. Can someone...
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If ABCD is a square, what are the coordinates of C?
If ABCD is a square, what are the coordinates of C?A. \sqrt{3} , \sqrt{3}B. \sqrt{3}, 1 + \sqrt{3}C. 2 \sqrt{3} , \sqrt{3}D. 1 + \sqrt{3} , \sqrt{3}E. \sqrt{3} , 2 \sqrt{3}Guys - I got the right...
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Odd Prime Numbers
Q. If p and q are two different odd prime numbers such that p < q, then which of the following must be true?1.(2p + q) is a prime number 2. p + q is divisible by 4 3. q p is divisible by 4 4. (p + q...
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Of the 100 athletes at a soccer club, 40 play defense and 70
Of the 100 athletes at a soccer club, 40 play defense and 70 play midfield. If at least 20 of the athletes play neither midfield nor defense, the number of athletes that play both midfield and defense...
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