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10 Apr 2022, 13:09
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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:
65%
(hard)
Question Stats:
48% (01:42) correct
52%
(01:42)
wrong
based on 97
sessions
History
Date
Time
Result
Not Attempted Yet
Is x an odd integer?
(1) x - y = odd
(2) x + y = even
(1) x - y = odd
(2) x + y = even
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
11 Apr 2022, 00:29
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Is x an odd integer?
(1) x - y = odd:
x = y + odd;
If y is NOT an integer, then x = y + odd = (non-integer) + odd = (non-integer);
If y is odd, then x = y + odd = odd + odd = even;
If y is even, then x = y + odd = even + odd = odd.
Not sufficient.
(2) x + y = even:
x = even - y;
If y is NOT an integer, then x = even - y = even - (non-integer) = (non-integer);
If y is odd, then x = even - y = even - odd = odd;
If y is even, then x = even - y = even + even = even.
Not sufficient.
(1)+(2) Sum (1) and (2):
(x - y) + (x + y)= odd + even;
2x = odd;
x = odd/2 = (non-integer).
We have a definite NO answer to the question. Sufficient.
Answer: C.
Hope it helps.
(1) x - y = odd:
x = y + odd;
If y is NOT an integer, then x = y + odd = (non-integer) + odd = (non-integer);
If y is odd, then x = y + odd = odd + odd = even;
If y is even, then x = y + odd = even + odd = odd.
Not sufficient.
(2) x + y = even:
x = even - y;
If y is NOT an integer, then x = even - y = even - (non-integer) = (non-integer);
If y is odd, then x = even - y = even - odd = odd;
If y is even, then x = even - y = even + even = even.
Not sufficient.
(1)+(2) Sum (1) and (2):
(x - y) + (x + y)= odd + even;
2x = odd;
x = odd/2 = (non-integer).
We have a definite NO answer to the question. Sufficient.
Answer: C.
Hope it helps.
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