OG Is x > y?

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AbeNeedsAnswers: Master | Next Rank: 500 Posts; Posts: 394; Joined: Sun Jul 02, 2017 10:59 amFollowed by: 5 members; Thanked: 1 times

by AbeNeedsAnswers » Wed Aug 23, 2017 9:24 pm

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Is x > y?

(1) x = y + 2
(2) x/2 = y - 1

A

Source: Beat The GMAT — Data Sufficiency | Wed Aug 23, 2017 9:24 pm

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[email protected]: Elite Legendary Member; Posts: 10392; Joined: Sun Jun 23, 2013 6:38 pmFollowed by: 511 members; Location: Palo Alto, CA; Thanked: 2867 times; GMAT Score:800

by [email protected] » Thu Aug 24, 2017 9:57 am

Hi AbeNeedsAnswers,

We're asked if X is greater than Y. This is a YES/NO question. We can solve it by TESTing VALUES.

1) X = Y +2

With this Fact, we can see that X is "2 greater" than Y, so the answer to the question is ALWAYS YES. You can see this pattern with a few TESTs:
IF....
Y = 0, X = 2
Y = 5, X = 7
Y = -3, X = -1
Etc.
Fact 1 is SUFFICIENT

2) X/2 = Y - 1

IF....
Y = 1, X = 0 and the answer to the question is NO
Y = 3, X = 4 and the answer to the question is YES
Fact 2 is INSUFFICIENT

Final Answer: A

GMAT assassins aren't born, they're made,
Rich

Contact Rich at [email protected]

Jeff@TargetTestPrep: GMAT Instructor; Posts: 1462; Joined: Thu Apr 09, 2015 9:34 amFollowed by: 22 members; Location: New York, NY; Thanked: 39 times

by Jeff@TargetTestPrep » Thu Jun 21, 2018 3:30 pm

AbeNeedsAnswers wrote:Is x > y?

(1) x = y + 2
(2) x/2 = y - 1

Statement One Alone:

x = y + 2

Since x is always 2 more than y, we see that x will always be greater than y. Statement one alone is sufficient to answer the question.

Statement Two Alone:

x/2 = y - 1

x = 2y - 2

We see that x is not necessarily greater than y.

If y = 1, then x = 0 and x < y.

If y = 3, then x = 4 and x > y.

Statement two alone is not sufficient to answer the question.

Answer: A

Jeffrey Miller
Head of GMAT Instruction
[email protected]

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