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14 Feb 2022, 02:30
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
65% (01:02) correct
35%
(01:08)
wrong
based on 94
sessions
History
Date
Time
Result
Not Attempted Yet
Is x greater than y?
(1) x > 2y
(2) x - y > 0
(1) x > 2y
(2) x - y > 0
kungfury42
Joined: 07 Jan 2022
Last visit: 31 May 2023
Posts: 580
Given Kudos: 724
Schools: NUS '25 (A)
GMAT 1: 740 Q51 V38
GPA: 4
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14 Feb 2022, 03:09
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(1) x > 2y
If y is negative then y > 2y and since x is also > 2y, we don't know if x > y or not.
For ex: x = -0.1 and y = -0.2
Here x > 2y and x > y
For ex: x = -0.3 and y = -0.2
Here x > 2y but x < y
Therefore, statement 1 is insufficient.
(2) x - y > 0
This essentially means x > y
Hence, statement 2 is sufficient.
Therefore, only statement 2 is sufficient, option B is our answer.
Posted from my mobile device
If y is negative then y > 2y and since x is also > 2y, we don't know if x > y or not.
For ex: x = -0.1 and y = -0.2
Here x > 2y and x > y
For ex: x = -0.3 and y = -0.2
Here x > 2y but x < y
Therefore, statement 1 is insufficient.
(2) x - y > 0
This essentially means x > y
Hence, statement 2 is sufficient.
Therefore, only statement 2 is sufficient, option B is our answer.
Posted from my mobile device
14 Feb 2022, 08:13
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Bunuel
Target question: Is x greater than y?
Statement 1: x > 2y
There are several values of x and y that satisfy statement 1. Here are two:
Case a: x = 5 and y = 1. In this case, the answer to the target question is YES, x is greater than y
Case b: x = -3 and y = -2. In this case, the answer to the target question is NO, x is not greater than y
Since we can’t answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: x - y > 0
Add y to both sides of the inequality to get: x > y
The answer to the target question is YES, x is greater than y
Statement 2 is SUFFICIENT
Answer: B
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