12. Find the largest number of thre...
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12. Find the largest number of three digits exactly divisible by 15, 18, 27 and 30. RRB NTPC (Phase 1) 2016 (1) 870 (2) 900 (3) 810 (4) 780

11th - 12th Class
Maths
Solution
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12. (3) : The largest number of three digits [ =999 ] ( therefore ) LCM of begin{tabular}{c|c} ( 15, ) & 18,27 and 30 2 & 15,18,27,30 hline 3 & ( 15, ) & 9,27,15 hline 3 & ( 5, ) & 3,9,5 hline 3 & ( 5, ) & 1,3,5 hline 5 & ( 5, ) & 1,1,5 hline & 1,1,1,1 & end{tabular} [ begin{array}{l} =2 times 3 times 3 times 3 times 5 =270 end{array} ] Again, [ 2 7 0 longdiv { 9 9 9 } 3 ] ( frac{810}{189} ) ( therefore ) Required number ( =999-189=810 )
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