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09 May 2011, 13:11
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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:
25%
(medium)
Question Stats:
77% (02:01) correct
23%
(02:15)
wrong
based on 584
sessions
History
Date
Time
Result
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If w, y, and z are positive integers, and w = y – z, is w a perfect square?
(1) y + z is a perfect square.
(2) z is even.
(1) y + z is a perfect square.
(2) z is even.
09 May 2011, 14:32
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ravi67741
If w, y, and z are positive integers, and w = y – z, is w a perfect square?
(1) y + z is a perfect square.
(2) z is even.
(1) y + z is a perfect square.
(2) z is even.
w=1, z=4, y=5. w=Perfect square.
w=5, z=2, y=7. w=Not a Perfect square.
Ans: "E"
**********************
What is the official explanation?
09 May 2011, 14:44
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i am coming to E for this.
i thought 1st that both statements could be sufficient but then i assume that consider w = y-z a perfect square then take numbers
25 = y - z
and
49 = y +z
y = 37 and z = 12 so we get w as perfect square and then we have so many cases where you take y = 39 and z = 10 so z = y+z is perfect square but y - z is not.
what is the oA for this?
i thought 1st that both statements could be sufficient but then i assume that consider w = y-z a perfect square then take numbers
25 = y - z
and
49 = y +z
y = 37 and z = 12 so we get w as perfect square and then we have so many cases where you take y = 39 and z = 10 so z = y+z is perfect square but y - z is not.
what is the oA for this?
