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29 May 2023, 01:30
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
59% (01:41) correct
41%
(01:04)
wrong
based on 64
sessions
History
Date
Time
Result
Not Attempted Yet
If a, b, and c are integers, is a + b + c even?
(1) a + b is odd.
(2) b + c is odd.
(1) a + b is odd.
(2) b + c is odd.
29 May 2023, 03:16
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Is a + b + c even?
(1) a + b is odd.
If c is odd, a+b+c=even (odd+odd= even).
If c is even, a+b+c=odd (odd+even= odd)
Statement I is insufficient.
(2) b + c is odd.
If a is odd, a+b+c=even (odd+odd= even).
If a is even, a+b+c=odd (odd+even= odd)
Statement II is insufficient.
Combining statement I and statement II: If b is odd, a and c are even.
a+b+c= odd
If b is even, a and c are odd.
a+b+c= even.
Both statements together are insufficient.
Option E is the answer
Posted from my mobile device
(1) a + b is odd.
If c is odd, a+b+c=even (odd+odd= even).
If c is even, a+b+c=odd (odd+even= odd)
Statement I is insufficient.
(2) b + c is odd.
If a is odd, a+b+c=even (odd+odd= even).
If a is even, a+b+c=odd (odd+even= odd)
Statement II is insufficient.
Combining statement I and statement II: If b is odd, a and c are even.
a+b+c= odd
If b is even, a and c are odd.
a+b+c= even.
Both statements together are insufficient.
Option E is the answer
Posted from my mobile device
29 May 2023, 05:10
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(1) Only
Evidently insufficient.
(2) Only
Evidently insufficient.
(1)(2) Together
Adding (1) and (2), we get
a+2b+c is even.
So a +c is also even.
Consider two different scenarios.
(1) a = c = 1, and b = 2.
a+b+c is even
(2) a = c = 2, and b = 3
a+b+c is odd
Not sufficient.
The answer is (E).
Evidently insufficient.
(2) Only
Evidently insufficient.
(1)(2) Together
Adding (1) and (2), we get
a+2b+c is even.
So a +c is also even.
Consider two different scenarios.
(1) a = c = 1, and b = 2.
a+b+c is even
(2) a = c = 2, and b = 3
a+b+c is odd
Not sufficient.
The answer is (E).
