The correct option is D 42875 35=7× 5 #160;∴ ( 35 ) #160;^ 3 =( 7 ) #160;^ 3 ×( 5 ) #160;^ 3 #160;=7× 7× 7× 5× 5× 5 #160;=34 ...

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Units Digits in Cube Numbers

353=?

Question

$(35)^{3} =$ ?

42875

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44875

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43005

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None of these

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Solution

The correct option is D $42875$
$35 = 7 \times 5$
$∴ {(35)}^{3} = {(7)}^{3} \times {(5)}^{3}$
$= 7 \times 7 \times 7 \times 5 \times 5 \times 5$
$= 343 \times 125$
$= 42875$
$∴$ The cube of $35 = 42875.$

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