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Madhavi1990
If x, y, and z are consecutive integers, and x < y < z , is x even?

(1) x + y is odd.

(2) x + z is even.

is x even, with x,y,z being consecutive and x<y<z

St 1: x+ y = odd. And x< y
Case 1: 1+2 = 3 (ODD); 4+5 = ODD; 5+6 (ODD)
Not suff x can be odd or even answer is ODD

St 2: x + z = even. x = 4, y = 5, z = 6 answer is even. x =3, y = 4, z= 6 answer is even.
odd + odd = even and even+ even = even
Not suff

1) + 2) No conclusion. Ans is E

What is the OA?

The OA is E. Any set of three consecutive integers will satisfy both of the statements. For example, consider {0, 1, 2} and {1, 2, 3}.
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