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# The numbers in which of the following pairs do NOT have a

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Joined: 14 Dec 2005
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The numbers in which of the following pairs do NOT have a [#permalink]  26 Feb 2006, 09:42
The numbers in which of the following pairs do NOT have a pair of
distinct prime divisors in common ?
(A) 10 and 20
(B) 12 and 18
(C) 24 and 32
(D) 21 and 63
(E) 22 and 88
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Joined: 08 Jan 2006
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Re: Problem Solving Help [#permalink]  26 Feb 2006, 10:08
Avis wrote:
The numbers in which of the following pairs do NOT have a pair of
distinct prime divisors in common ?
(A) 10 and 20
(B) 12 and 18
(C) 24 and 32
(D) 21 and 63
(E) 22 and 88

C.

a) 10=5*2 and 20=5*2*2. 5 and 2 common
b) 12=3*2*2 and 18=3*2*3. 3 and 2 common
c) 24=2*2*2*3 and 32=2*2*2*2*2. Only 2 common. 3 is not!
d) 21=7*3 and 63=7*3*3. 7 and 3 common
e) 22=11*2 and 88=11*2*2*2. 11 and 2 common.
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(A) 10 and 20 --> Out. 2,5 are distinct pairs
(B) 12 and 18 --> Out. 2,3 are distinct pairs
(C) 24 and 32 --> ??
(D) 21 and 63 --> Out. 3,7 are distinct pairs
(E) 22 and 88 --> Out. 3,11 are distinct pairs

Ans C
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# The numbers in which of the following pairs do NOT have a

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