14. By what least number 4320 be mu...
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14. By what least number 4320 be multiplied to obtain a number which is a perfect cube? (1) 25 (2) 100 (3) 50 (4) 5

11th - 12th Class
Maths
Solution
168
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( 14 .(3) ) begin{tabular}{c|l} 2 & 4320 hline 2 & 2160 hline 2 & 1080 hline 2 & 540 hline 2 & 270 hline 3 & 135 hline 3 & 45 hline 3 & 15 hline 5 & 5 hline 1 & 1 hline end{tabular} [ 4320=overline{2 times 2 times 2} times 2 times 2 times overline{3 times 3 times 3} times 5 ] Clearly, to make 4320 a perfect cube, it must be multiplied by ( 2 times 5 times 5 ) i.e. 50 .
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