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08 Sep 2021, 03:30
Kudos
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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:
55%
(hard)
Question Stats:
59% (01:55) correct
41%
(01:44)
wrong
based on 218
sessions
History
Date
Time
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Not Attempted Yet
Is x and y are positive integers, what is the value of x?
(1) 4x - 3y = 6
(2) 3x + 5y = 22
(1) 4x - 3y = 6
(2) 3x + 5y = 22
08 Sep 2021, 07:56
Kudos
Bookmarks
Bunuel
Given: x and y are positive integers
Target question: What is the value of x?
Statement 1: 4x - 3y = 6
There are several values of integer x and y that satisfy statement 1. Here are two:
Case a: x = 3 and y = 2. In this case, the answer to the target question is x = 3
Case b: x = 6 and y = 6. In this case, the answer to the target question is x = 6
Since we can’t answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: 3x + 5y = 22
In most circumstances, a linear equation like 3x + 5y = 22 will have infinitely many solutions. However, when we restrict the variables (x and y are POSITIVE INTEGERS), we don't necessarily have infinitely many solutions anymore.
When we restrict x and y to positive integers, there's only one solution to this equation: x = 4 and y = 2
So, the answer to the target question is x=4
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: B
10 Sep 2021, 06:52
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Bunuel
x and y are positive integers.
Statement 1:
We can start with x = 6 and y = 6. Then we can have other solutions by increasing x by 3 and increasing y by 4. Insufficient.
Statement 2:
We can start with x = 4 and y = 2. We may have other solutions by increasing/decreasing x by 5 and decreasing/increasing y by 3. Either way, we cannot find another positive integer solution. Sufficient.
Ans: B
