Given below are two statements:
Statement I: Colourless cupric metaborate is reduced to cuprous metaborate in a luminous flame.
Statement II: Cuprous metaborate is obtained by heating boric anhydride and copper sulphate in a non-luminous flame.
In the light of the above statements, choose the most appropriate answer from the options given below.

We need to evaluate both statements about the borax bead test involving cupric and cuprous metaborate.

Statement I: "Colourless cupric metaborate is reduced to cuprous metaborate in a luminous flame." This statement is false. Cupric metaborate $$Cu(BO_2)_2$$ is not colourless — it is blue in colour when formed in the oxidising (non-luminous) flame. In the borax bead test, the cupric compound gives a blue-coloured bead.

Statement II: "Cuprous metaborate is obtained by heating boric anhydride and copper sulphate in a non-luminous flame." This statement is also false. In the non-luminous (oxidising) flame, cupric metaborate $$Cu(BO_2)_2$$ is formed, not cuprous metaborate. Cuprous metaborate $$CuBO_2$$ is formed in the luminous (reducing) flame where $$Cu^{2+}$$ is reduced to $$Cu^{+}$$.

Since both statements are false, the correct answer is Option B.

Hence, the correct answer is Option B.