The correct option is D 64964808 402=2× 3× 67 #160;∴ ( 402 ) #160;^ 3 =( 2 ) #160;^ 3 ×( 3 ) #160;^ 3 ×( 67 ) #160;^ 3 #160;=2 ...

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Units Digits in Cube Numbers

4023=?

Question

$(402)^{3} =$ ?

64964808

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64964804

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645064802

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None of these

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Solution

The correct option is D $64964808$
Since, $402 = 400 + 2$
As we know that $(a + b)^{2} = a^{2} + b^{2} + 2 a b$
Substitute $a = 400$ and $b = 2$ in above identity, we get
$(400 + 2)^{2} = (400)^{2} + (2)^{2} + 2 (2) (400)$
$= 160000 + 4 + 1600$
$∴ (402)^{2} = 161604$

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