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Base Systems

Value of [ ...

Question

Value of ${[{(0.111)}^{3} + {(0.222)}^{3} - {(0.333)}^{2} {+ (0.333)}^{2} (0.222)]}^{2}$ will be :

222

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0

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333

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2

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Solution

The correct option is B $0$
$a^{3} + b^{3} + c^{3} = 3 a b c$ if $a + b + c = 0$
${[3 \times 0.111 \times 0.222 \times (- 0.333)) + (0.333 \times 0.333 \times 0.222]}^{2} = 0$

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Similar questions

x = 111 . . . . 11

20

y = 333 . . . . 33

10

z = 222 . . . . 22

10

\frac{x - y^{2}}{z}

The value of ${2 - 3 (2 - 3)^{3}}^{3}$ is

x = {(\frac{3}{2})}^{2} {(\frac{2}{3})}^{- 4}

x^{- 2}

x = 111 \dots \dots 1 (20 digits),

y = 333 \dots \dots 3 (10 digits)

z = 222 \dots \dots 2 (10 digits)

x - z

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