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26 Jan 2022, 02:30
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C
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:
66% (01:28) correct
34%
(01:25)
wrong
based on 86
sessions
History
Date
Time
Result
Not Attempted Yet
If x and y are non negative integers, what is the value of x + y?
(1) \(x^4\) is even, where x is a prime number
(2) \(x^y\) is odd.
(1) \(x^4\) is even, where x is a prime number
(2) \(x^y\) is odd.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
26 Jan 2022, 03:42
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Pre-thinking
Both x and y can be 0, 1, 2...
x+y can be 0, 1, 2, ...
(1) Only
x is even, and x is a prime number
So, x must be 2.
No info is provided about y.
Not sufficient.
(2) Only
There are two categories of possibilities.
2.1 x is odd, and y can be any non negative integers.
2.2 x is even, and y must be 0
Not sufficient.
(1) and (2) together
x is 2, and y must be 0
x + y = 2.
Sufficient.
Therefore, the answer is (C).
Both x and y can be 0, 1, 2...
x+y can be 0, 1, 2, ...
(1) Only
x is even, and x is a prime number
So, x must be 2.
No info is provided about y.
Not sufficient.
(2) Only
There are two categories of possibilities.
2.1 x is odd, and y can be any non negative integers.
2.2 x is even, and y must be 0
Not sufficient.
(1) and (2) together
x is 2, and y must be 0
x + y = 2.
Sufficient.
Therefore, the answer is (C).
03 Jan 2026, 05:11
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hey do we solve this type of problem its complicated to figure out the numbers and mainly to many different answer that varies can anyone shed some light on this.
