If r, s, and t are positive integers, is r + s + t even?
(1) r + s is even.
(2) s +t is even.
Statement 1
r +s is even...
when t is even then r+s+t is also even
but when t is odd... r+s+t is odd...
insuficient
Statement 1
s +t
similar reasoning as statement one...
insufficient...
From 1 and 2
r, s, and t can be both odd or even
when all are even the sum is also even...
when all are odd the sum is also odd...
insufficient
Ans E
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If r, s, and t are positive integers, is r + s + t even?
Source: Beat The GMAT — Data Sufficiency |
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Robinmrtha
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Let r = 3, s = 3, t = 3
statement 1 - r + s = even
statement 2 - s + t = even
r + s + t = odd
Let r = 2, s = 2, t = 2
statement 1 - r + s = even
statement 2 - s + t = even
r + s + t = even
therefore we cannot conclude that r + s + t is even. answer E
statement 1 - r + s = even
statement 2 - s + t = even
r + s + t = odd
Let r = 2, s = 2, t = 2
statement 1 - r + s = even
statement 2 - s + t = even
r + s + t = even
therefore we cannot conclude that r + s + t is even. answer E
