Question

Ex.3. Find the least number which when divided sep- arately by 15, 20, 36 and 48 leaves 3 as re- mainder in each case (1) 183 (2) 243 (3) 483 (4) 723 SSC CGL (Tier-II) 2014

11th - 12th Class

Maths

Solution

139

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Sol. (4) Required number ( =(L C M text { of } 15,20,36 ) and 48)+3 begin{tabular}{l|c} 2 & 15,20,36,48 hline 2 & 15,10,18,24 hline 3 & 15.5,9,12 hline 5 & 5,5,3,4 hline & 1,1,3,4 end{tabular} ( therefore mathrm{LCM}=2 times 2 times 3 times 5 times 3 times 4=720 ) ( therefore ) Required number ( =720+3=723 )