Concept:
In Data Sufficiency, we check whether a statement gives a unique value. Direct numerical relations help determine exact values.
Step 1: Analyze Statement I alone.
Riya's height = 150 cm
Nandhini is 10 cm taller:
\[
{Nandhini's height} = 150 + 10 = 160 { cm}
\]
A unique value is obtained.
Statement I alone is sufficient.
Step 2: Analyze Statement II alone.
Nandhini is shorter than 165 cm, but exact height is not known.
Statement II alone is NOT sufficient.
Step 3: Combine both statements.
Not required, since Statement I already gives a unique answer.
Hence, Statement I alone is sufficient.