500 PS #20

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dunkin77: Master | Next Rank: 500 Posts; Posts: 269; Joined: Sun Apr 01, 2007 5:41 am

500 PS #20

by dunkin77 » Sun Apr 01, 2007 6:40 am

Hi,

I thought the answer is B) but turned out to be A) - Can anyone please explain??

If y ≠ 3 and 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

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Source: Beat The GMAT — Problem Solving | Sun Apr 01, 2007 6:40 am

ajith: Legendary Member; Posts: 1275; Joined: Thu Sep 21, 2006 11:13 pm; Location: Arabian Sea; Thanked: 125 times; Followed by:2 members

Re: 500 PS #20

by ajith » Sun Apr 01, 2007 7:09 am

dunkin77 wrote:Hi,

I thought the answer is B) but turned out to be A) - Can anyone please explain??

If y ≠ 3 and 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

The question does not put any condition or Constraints on X, meaning X can take up any value . SO 1 and 111 ruled out . Y is not 1 by the question so 11 is also ruled out ..

thus A

Always borrow money from a pessimist, he doesn't expect to be paid back.

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BTGmoderatorRO: Moderator; Posts: 772; Joined: Wed Aug 30, 2017 6:29 pm; Followed by:6 members

by BTGmoderatorRO » Sun Oct 15, 2017 9:58 am

from the question, $$y\ne3\ and\ y>2$$
let's analyse the statement i to iii.
I. x=y
from the question, there is no mention of X or its value, which means it could be 7, 0, -1 or 100.21. So, we don't know how if x is a prime integer or not.
Therefore, I is false or we can say I cannot be true

II. y=1
The value of y is said to be greater than 2.Hence, readers statement is false too. II is false.

III. x and y are prime integers.
True enough , Y is a prime integer as given in the question. But we cannot say that X is because we are not given any values for X. Thus, III is false

$$Therefore\ "None"\ is\ the\ correct\ answer.\ Hence\ Option\ A\ is\ very\ correct$$

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

by Brent@GMATPrepNow » Sun Oct 15, 2017 10:40 am

dunkin77 wrote:Hi,

I thought the answer is B) but turned out to be A) - Can anyone please explain??

If y â‰ 3 and is a prime integer greater than 2, which of the following must be true?
â… . x = y
â…¡. y = 1
â…¢. x and y are prime integers.
(A) None
(B) â… only
(C) â…¡only
(D) â…¢only
(E) â… and â…¢

The original poster didn't transcribe the question correctly.

The question is supposed to read:

If y â‰ 3 and 3x/y is a prime integer greater than 2, which of the following must be true?
â… . x = y
â…¡. y = 1
â…¢. x and y are prime integers.
(A) None
(B) â… only
(C) â…¡only
(D) â…¢only
(E) â… and â…¢

OA A