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If y ≠ 3 and 3x/y is a prime integer greater than 2,

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If y ≠ 3 and 3x/y is a prime integer greater than 2, [#permalink] New post 05 Feb 2006, 07:02
If y ≠ 3 and 3x/y is a prime integer greater than 2, which of the following must be true?
Ⅰ. x = y
Ⅱ. y = 1
Ⅲ. x and y are prime integers.
(A) None
(B) Ⅰ only
(C) Ⅱonly
(D) Ⅲonly
(E) Ⅰand Ⅲ
Quote:
Sorry, the 2 problems which i posted, i overlooked the errors ! sorry again! pls help now

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 [#permalink] New post 05 Feb 2006, 07:54
(B)

I. if they weren't equal, the number resulting from 3x/y would not be prime

II. y=1 false, assume that x=y and you can pick whatever number, not only 1

III. No, if they're both 1 (one isn't prime)
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 [#permalink] New post 05 Feb 2006, 09:31
well arch! even i picked B , but the OA for this was A ) none! i guess the answer is wrong... or we both sailing in the same boat! ( wrong boat)
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 [#permalink] New post 05 Feb 2006, 09:49
razrulz wrote:
well arch! even i picked B , but the OA for this was A ) none! i guess the answer is wrong... or we both sailing in the same boat! ( wrong boat)


let's wait for someone else to reply. Anyway, I think that if it was x/y instead of 3x/y then the answer could have been (A)=NONE
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 [#permalink] New post 05 Feb 2006, 09:53
razrulz wrote:
well arch! even i picked B , but the OA for this was A ) none! i guess the answer is wrong... or we both sailing in the same boat! ( wrong boat)



raz,

I aslo end up with B. Agree with thearch's working.

I think we are sailing in the right boat but OA is incorrect :-D
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 [#permalink] New post 05 Feb 2006, 09:58
giddi77 wrote:
razrulz wrote:
well arch! even i picked B , but the OA for this was A ) none! i guess the answer is wrong... or we both sailing in the same boat! ( wrong boat)



raz,

I aslo end up with B. Agree with thearch's working.

I think we are sailing in the right boat but OA is incorrect :-D


I do hope that these problems with incorrect OAs don't come from the OG...
:oops: :oops: otherwise we would be in the right boat sailing away from an 800 :lol:
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 [#permalink] New post 05 Feb 2006, 10:04
thearch wrote:
:oops: :oops: otherwise we would be in the right boat sailing away from an 800 :lol:


Well it depends how far away your are sialing from the 800 boat. For me if I am sailing away from 800 boat, but close enough to 700, I'll take that boat! :wink:
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 [#permalink] New post 05 Feb 2006, 10:58
First I solved incorrectly and came up with answer E.. (1 is not prime..did not remember that point)

But second mistake I made, which I alwasy do is to assume x and y are integer.... if you dont assume that than lets say

3x/y = 2 => x/y = 3/2 we can have x =1 and y =2/3 and x = 6 and y = 4 or x=3 and y=2 which all will result in Prime integer...

and this will result NONE as answer!

it's always easy to solve problem once you know the answer ! :)
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 [#permalink] New post 05 Feb 2006, 11:05
chiragr wrote:
First I solved incorrectly and came up with answer E.. (1 is not prime..did not remember that point)

But second mistake I made, which I alwasy do is to assume x and y are integer.... if you dont assume that than lets say

3x/y = 2 => x/y = 3/2 we can have x =1 and y =2/3 and x = 6 and y = 4 or x=3 and y=2 which all will result in Prime integer...

and this will result NONE as answer!

it's always easy to solve problem once you know the answer ! :)


Hmm. I get it now. I just assumed x and y are integers :wall
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 [#permalink] New post 05 Feb 2006, 20:14
chiragr wrote:
First I solved incorrectly and came up with answer E.. (1 is not prime..did not remember that point)

But second mistake I made, which I alwasy do is to assume x and y are integer.... if you dont assume that than lets say

3x/y = 2 => x/y = 3/2 we can have x =1 and y =2/3 and x = 6 and y = 4 or x=3 and y=2 which all will result in Prime integer...

and this will result NONE as answer!

it's always easy to solve problem once you know the answer ! :)


man i am continously doing the same mistake.. repititive!!! :( i am gonna be screwed!!! :(
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  [#permalink] 05 Feb 2006, 20:14
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If y ≠ 3 and 3x/y is a prime integer greater than 2,

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