The value of \frac{(0.67 \times 0.67 \times 0.67)-(0.33 \times 0.33 \times 0.33)}{(0.67 \times 0.67)-(0.67 \times 0.33)-(0.33 \times 0.33)}is

SSC CGL Tier II 25 Oct 2015 Paper 1

Question : 54 of 100

Marks: +1, -0

The value of

{(0.67 × 0.67 × 0.67)-(0.33 × 0.33 × 0.33)}/{(0.67 × 0.67)-(0.67 × 0.33)-(0.33 × 0.33)}

Solution:

(4) Let, 0.67 = a and 0.33 = b
∴ Expression

= {a^{3}-b^{3}}/{ (a^{2}+a b+b^{2} )}

= {(a-b) (a^{2}+a b+b^{2} )}/{a^{2}+a b+b^{2}}

=a-b=0.67-0.33=0.34

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