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by manasi_sh » Sat Oct 06, 2007 8:38 pm
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

ANS: A
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by samirpandeyit62 » Sat Oct 06, 2007 11:15 pm
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.

3x/y is prime
I x=y then definitely 3x/y is prime =3

II y=1 then 3x/y = 3x (which cannot be prime unless x=1)

III if x & y are prime then 3x/y will be prime only if x=y, otherwise it wont be a integer itself

so only I must be true here to ensure that 3x/y is prime
Regards
Samir
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by kajcha » Sat Oct 06, 2007 11:27 pm
samir, 1 MUST NOT be true.

x = 7 and y = 3 will make 3x/y prime. So, answer will be NONE.
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by samirpandeyit62 » Sat Oct 06, 2007 11:58 pm
But Kajcha its given that y <> 3 in the Q
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Samir
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by samirpandeyit62 » Sun Oct 07, 2007 12:17 am
Hey Kajcha,
You are correct the ans should be A coz if x=y=0 then the ans would be undefined.
Regards
Samir
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by manasi_sh » Sun Oct 07, 2007 7:22 am
thanks a ton guys..!!
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by gmatguy16 » Sun Oct 07, 2007 8:24 am
manasi,
for future posts please make sure you dont post the answer immediatley after the question,please wait for couple of responses !!
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