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# Which number in a set P has a value greater than that of

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Which number in a set P has a value greater than that of [#permalink]

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07 Nov 2005, 23:45
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Which number in a set P has a value greater than that of every other number of set P, if all the members of set P are negative integers?

1) Each member of set P is the product of -1 and a prime number
2) At least one member of P is even
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08 Nov 2005, 03:13
Why not just A?

primes, 2,3,5,7,... etc..
And all members are the product of (-1) and the primes. so the larges number is the smallest absolute value of prime, Thus 2*(-1)
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08 Nov 2005, 03:32
To my view, the answer is C.

My reasoning is as follows:

a) tells us that all numbers in the set P are negative primes, however, we do not know whether prime 2 is in the set P as well

b) tells us that there's a least one even number

By combining both we get '-2' in the set of P

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08 Nov 2005, 03:38
duttsit wrote:
C.

-2
only even prime (-1 * 2)

good catch duttsit!
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08 Nov 2005, 09:23
C for me too....

(1) say that its the product of -1 and prime number...well we dont what prime numbers are involved...Prime numbers could 3,5,7 etc or 2,3,5...then the highest valued could be -3 or -2

(2) well it could -2, -4 , - 6

Together sufficient...2 is the only even prime...
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08 Nov 2005, 09:59
Initially I thought it is a clear A. But there is a trap here.

statement 1) says Each member of set P is the product of -1 and a prime number

that means it can be -2, -3,-5, -7,-11....... and so on....

now it is not certain how many of these numbers will be part of set. if -2 part of the set then -2 is the greatest number. but from statement A it is not certain.

statement 2) says at least one number of even. so it can be -2,-4,-6,-8.... and so on. now this statement alone can not solve the problem.

combining both the statement we get,-2 is the only prime number that is even.

So combining statement 1 and 2 we get the solution
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hey ya......

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08 Nov 2005, 19:25
OA is C.

Just wanted to post the question so that people do not fall for the stmt 1 trap that 2 * -1 may or may not be included to the set.

Prior posts already have a good explanation.
08 Nov 2005, 19:25
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