The correct option is D −13
Let the oxidation number of I is x inKI3.
⇒1+3×(x)=0
x=−13.
Alternative way :
KI3, is KI+I2
∴ I has two oxidation no. -1 and 0 respectively.
However factualy speaking oxidation number of I in KI3 is an average of three values -1, 0, 0.
⇒ Average O.N.=−1+2×(0)3=−13.