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If x, y, and z are integers, with x < y< x, what is the average
Tough and Tricky questions: Algebra.If x, y, and z are integers, with x \lt y \lt z, what is the average (arithmetic mean) of x, y, and z?(1) (x + y)z = 5(2) x + z \lt 3Kudos for a correct solution.
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A survey was sent to 80 customers, 7 of whom responded. Then the surve
Tough and Tricky questions: Percents.A survey was sent to 80 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what...
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A table of numbers has n rows and n columns, where n is an odd integer
Tough and Tricky questions: Number Properties.A table of numbers has n rows and n columns, where n is an odd integer greater than 4. Each entry in the table is subject to the following rules:(I) Any...
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The "length" of a positive integer greater than 1 is the number of pri
Tough and Tricky questions: Number Properties.The "length" of a positive integer greater than 1 is the number of prime numbers, including repeats, that are factors of that integer. For instance, the...
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The function g(x) is defined as the greatest integer less than or
Tough and Tricky questions: Number Properties.The function g(x) is defined as the greatest integer less than or equal to x, while the function h(x) is defined as the least integer greater than or equal...
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The velocity, density, and pressure of a certain fluid are related by
Tough and Tricky questions: Word Problems.The velocity, density, and pressure of a certain fluid are related by the equation 5v^2 + P = c, where v is the velocity in meters per second, P is the...
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If x is a positive integer, what is the value of x ?
Tough and Tricky questions: Decimals.If x is a positive integer, what is the value of x?(1) The first nonzero digit in the decimal expansion of \frac{1}{x!} is in the hundredths place. (2) The first...
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x^6 - y^6 =
Tough and Tricky questions: Algebra.x^6 - y^6 =A. (x^3 + y^3)(x^2 + y^2)(x - y)B. (x^3 - y^3)(x^3 - y^3)C. (x^2 + y^2)(x^2 + y^2)(x + y)(x - y)D. (x^4 + y^4)(x + y)(x - y)E. (x^3 + y^3)(x^2 + xy +...
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If a, b, and c are positive integers, with a < b < c, are a, b, and c
Tough and Tricky questions: Algebra.If a, b, and c are positive integers, with a \lt b \lt c, are a, b, and c consecutive integers?(1) \frac{1}{a} - \frac{1}{b} = \frac{1}{c}(2) a + c = b^2 - 1Kudos...
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The expression (6^5 - 6^3)/(7^4 + 7^6)^(-1) is NOT divisible by which
Tough and Tricky questions: Exponents.The expression \frac{6^5 - 6^3}{(7^4 + 7^6)^{-1}} is NOT divisible by which of the following?A. 10B. 16C. 27D. 99E. 125Kudos for a correct solution.
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If GCD of two numbers (both integers, greater than 1) is 1, then whic
If GCD of two numbers (both integers, greater than 1) is 1, then which of the following can be true?1. They are prime.2. They are consecutive.3. They do not have a common prime factor4. They do not...
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If GCD of two numbers (both integers, greater than 1) is 1, then
If GCD of two numbers (both integers, greater than 1) is 1, then which of the following can be true?1. They are prime.2. They are consecutive.3. They do not have a common prime factor4. They do not...
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Is quadrilateral ABCD a parallelogram?
Is quadrilateral ABCD a parallelogram?(1) Area of triangle ABC is equal to area of triangle ACD(2) AD=DC
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If the LCM of two integers a, b (where b> a and a>1) is a*b, then whi
If the LCM of two integers a, b (where b> a and a>1) is a*b, then which of the following can not be true?A. Both a and b can be Prime Numbers.B. Both a and b can be consecutive integers.C. All...
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If P = k^3 – k, where k and P are positive integers, and k is given b
If P = k^3 k, where k and P are positive integers, and k is given by the expression k = (10x)^{n} + 5^{4}, where x and n are positive integers, then what is the remainder when P is divided by 4 ?A) 0B)...
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If GCD of two numbers (both integers, greater than 1) is 1, then whic
This topic have been merged with: http://gmatclub.com/forum/topic-188750.html
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If P and Q are positive integers and Q = 10 + 4P, find the GCD of P an
If P and Q are positive integers and Q = 10 + 4P, find the GCD of P and Q (1) Q = 10 x, where x is a positive integer(2) P = 10 y, where y is a positive integer
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Does P have a factor X where 1
Does P have a factor X where 1 < X < P, and X and P are positive integers?(1) GCD (P^2, k) = k, where k is a prime number(2) 36*20 + 2 < P < 36*20+6
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What is the smallest positive integer x such that 450x is the cube of
Tough and Tricky questions: Number Properties.What is the smallest positive integer x such that 450x is the cube of a positive integer?A. 2B. 15C. 30D. 60E. 120Kudos for a correct solution.
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If x and y are positive integers, is x + y even?
Tough and Tricky questions: Number Properties.If x and y are positive integers, is x + y even?(1) xy is even (2) x/y is evenKudos for a correct solution.
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