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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]

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05 Feb 2006, 08:02
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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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05 Feb 2006, 08:54
(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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05 Feb 2006, 10:31
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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vazlkaiye porkalam vazltuthan parkanum.... porkalam maralam porkalthan maruma

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05 Feb 2006, 10:49
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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05 Feb 2006, 10:53
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
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05 Feb 2006, 10:58
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

I do hope that these problems with incorrect OAs don't come from the OG...
otherwise we would be in the right boat sailing away from an 800
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05 Feb 2006, 11:04
thearch wrote:
otherwise we would be in the right boat sailing away from an 800

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!
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05 Feb 2006, 11:58
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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05 Feb 2006, 12:05
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
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"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

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05 Feb 2006, 21:14
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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05 Feb 2006, 21:14
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