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(21) Find the lowest number which when subtracted from 10000, is exactly divisible by 15, 27 and 24.
Soln. L.C.M. of 15, 27 and 24 = 1080.
If we divide 10000 by 1080, we get the remainder = 280
i.e. If 280 i…
(11) Greatest number which can divide 327, 352, 200 leaving respectively 12, 7, 5 as remainders, is :
Soln. Required number = H.C.F. of ( 327 – 12 ), ( 352 – 7 ), ( 200 – 5 )
= H.C.F. of 315, 345, 195
…