If z is an integer, is z/3 an odd integer? (1) z is a multiple of 3.

Question

If z is an integer, is z/3 an odd integer?

(1) z is a multiple of 3.

(2) z is a multiple of 9.

chetan2u · Answer

If z is an integer, is z/3 an odd integer?

If z is an even multiple of 3, yes, and if z is an odd multiple of 3, no..

(1) z is a multiple of 3.
if  z=6....\frac{z}{3}=\frac{6}{3}=2 ..NO
if  z=9....\frac{z}{3}=\frac{9}{3}=3 ..YES

(2) z is a multiple of 9.
if  z=36....\frac{z}{3}=\frac{36}{3}=12 ..NO
if  z=9....\frac{z}{3}=\frac{9}{3}=3 ..YES

Combined..
if  z=36....\frac{z}{3}=\frac{36}{3}=12 ..NO
if  z=9....\frac{z}{3}=\frac{9}{3}=3 ..YES

E

Prep Toolkit