dancer wrote:

1. What is the greatest common divisor of positive integers m and n?

1) m is a prime number

2) m and n are consecutive integers

CStatement 1:

Unless n is a multiple of m, there is no common divisor except 1. INSUFF

Statement 2:

Unless m and n are 1 and 2, there are no common divisors. INSUFF

Together, if m is prime and n is the next integer, there can be no common divisors. (I assume that m and n are in that order, because I believe that is what statement 2 means. If I cannot assume that, then it is E.)

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2. Is number A more close to 10^(-2) or 10^(-3)?

(1) A is more close to 10^(-1) than to 10(-4)

(2) A is more close to 10^(-2) than to 10(-4)

EQ: Is A less than average of 1/100 and 1/1000?

A< 9/2000 ?

Statement 1:

A is less than average of 1/10 and 1/10000.

A<99.9/2000. INSUFF

Statement 2:

A is less than average of 1/100 and 1/10000

A< 9.9/2000 INSUFF

Together still INSUFF.

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3. How many different prime factors does N have?

(1) 2N has 4 different prime factors.

(2) N ^2 has 4 different prime factors.

B
Statement 1:

2 may or may not be a factor of N as well. INSUFF

Statement 2:

Prime factors should be the same for both N and N^2. SUFF