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PSET1, Q20

Expert replies
by muzali » Wed Nov 12, 2008 4:17 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

(This is the corrected version)
Last edited by muzali on Wed Nov 12, 2008 11:47 pm, edited 1 time in total.
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Source: — Problem Solving |

by logitech » Wed Nov 12, 2008 5:43 pm
Are you missing something in this question stem ? Such as X :)
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by mental » Thu Nov 13, 2008 2:43 am
is it A: None

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.

let x=14, y=6....(y is not 1)
3x/y = 3*14/6 = 7 a prime number
we rule oult options B, C and E

if x and y are prime integers and different then 3x/y cannot be a prime
if x and y are same they can be any numbers, need not be prime
we rule out D
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by muzali » Thu Nov 13, 2008 4:52 am
OA is A.
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by krazy800 » Thu Nov 13, 2008 7:46 am
IMO A


Given: Y Not equal to 3, and 3*(X/Y) is a prime number greater than 2.

If x=y (X/Y=1) we get the prime number 3..

thanks!
Aiming High
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