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  1. The value of
    0.1 × 0.1 × 0.1 + 0.2 ×0.2 × 0.2 + 0.3 × 0.3 × 0.3 − 3 × 0.1 × 0.2 × 0.3
    0.1 × 0.1 + 0.2 × 0.2 + 0.3 × 0.3 − 0.1 × 0.2 − 0.2 × 0.3 − 0.3 × 0.1
    is
    1. 0.006
    2. 0.6
    3. 0
    4. 0.2
Correct Option: B

Using (x) of Basic Formulae
Let 0.1 = a, 0.2 = b and 0.3 = c
Then, we have,

a × a × a + b × b × b + c × c × c − 3abc
a × a + b × b + c × c − ab − bc − ac

=
a3 + b3 + c3 − 3abc
a2 + b2 + c2 − ab − bc − ac

= a + b + c
= 0.1 + 0.2 + 0.3 = 0.6



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