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1000 PS Section I #20

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by arzanr » Mon Feb 22, 2010 8:08 am
If y not equal to 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) II Only
(D) III Only
(E) I and III

OA: A
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by firdaus117 » Mon Feb 22, 2010 8:12 am
Option A
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by arzanr » Mon Feb 22, 2010 8:15 am
nice to see a fellow parsi on here! :)
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by ajith » Mon Feb 22, 2010 11:17 pm
arzanr wrote:If y not equal to 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) II Only
(D) III Only
(E) I and III

OA: A
For 3x/y to be a prime

Case 1: y =3 and x is a prime
Case 2: x=y

[spoiler]Since Case 1 is not possible
x=y, B[/spoiler]
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by firdaus117 » Mon Feb 22, 2010 11:31 pm
ajith wrote:
arzanr wrote:If y not equal to 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) II Only
(D) III Only
(E) I and III

OA: A
For 3x/y to be a prime

Case 1: y =3 and x is a prime
Case 2: x=y

[spoiler]Since Case 1 is not possible
x=y, B[/spoiler]
How did you get Option B?Looks like a typo from you.
Take x=10 and y=6 which contradicts all three statements.Option A
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by abhi332 » Tue Feb 23, 2010 1:23 am
If y not equal to 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) II Only
(D) III Only
(E) I and III
let say 3x/y = 5

for 3x/y to be 5 we should have y =3 which is not possible.


only answer of 3x/y can be 3 which is greater than 2 and when x =y

ANS is B
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by ajith » Tue Feb 23, 2010 1:27 am
firdaus117 wrote: How did you get Option B?Looks like a typo from you.
Take x=10 and y=6 which contradicts all three statements.Option A
Not a Typo, but a mistake. I agree
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by abhi332 » Tue Feb 23, 2010 1:31 am
same mistake ;-)
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