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01 Apr 2020, 02:30
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A
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:
62% (01:53) correct
38%
(01:22)
wrong
based on 257
sessions
History
Date
Time
Result
Not Attempted Yet
If \(x\) and \(y\) are positive integers, is \(x\) even ?
(1) \(x^{2} + y^{2} = 98\)
(2) \(x = y\)
Are You Up For the Challenge: 700 Level Questions
(1) \(x^{2} + y^{2} = 98\)
(2) \(x = y\)
Are You Up For the Challenge: 700 Level Questions
01 Apr 2020, 02:38
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Bunuel
Given: x and y are positive and Integers
Question: Is x even?
statement 1: \(x^{2} + y^{2} = 98\)
Perfect square \(x^2\). and \(y^2\) have to be one of {1, 4, 9, 16, 25, 36, 49, 64, 81}
i.e. \(x^2 = y^2 = 49\)
i.e. x = y = 7 i.e. answer to the question is NO
SUFFICIENT
Statement 2: x = y
Both x and y may be 2 (even) or both may be 7 (odd) hence
NOT SUFFICIENT
Answer: Option A
01 Apr 2020, 02:45
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Bunuel
(1) \(x^{2} + y^{2} = 98\)
--> Only Possible value of (\(x\), \(y\)) = (\(7\), \(7\))
--> '\(x\)' is definitely not even --> Sufficient
(2) \(x = y\)
--> '\(x\)' can take infinite values (Even or Odd) --> Insufficient
Option A
