Multiple Choice Questions on The simplified value of 0 111 3 0 222 3 0 333 3 0 333 2x 0 222 3 is ........ for Study NOtes Preparation

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Multiple Choice Questions

The simplified value of 0 111 3 0 222 3 0 333 3 0 333 2x 0 222 3 is ........

Quantitative Aptitiude (CLAT) Simplification
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    The simplified value of [(0.111)3+(0.222)3-(0.333)3+(0.333)2x (0.222)]3 is:

    0.999

    Incorrect Answer

    0.111

    Incorrect Answer

    0

    Correct Answer

    0.888

    Incorrect Answer
    Explanation:

    Let a=(0.111)
    then the equation becomes
    [ (a)^3+ (2a)^3 - (3a)^3 + (3a)^2*(2a) ]^3
    now opening the small brackets,
    [ a^3 + 8a^3 - 27a^3 + 18a^3 ]^3
    [ 27a^3 - 27a^3 ]^3
    [ 0 ]^3 = 0
    Hence, option 3 is the correct answer.

    By: Amit Kumar
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