1.

What is the least possible number which when divided by 18, 35 or 42 it leaves the 2, 19, 26 as the remainders respectively?

Answer»

Solution :Since the difference between the divisors and the respective remainders is same. THEREFORE , the LEAST POSSIBLE number
=(LCM of 18, 35 and 42) - 16 = 630 - 16 = 614[`therefore` (18 - 2) = (35 - 19)=(42 - 26)= 16]


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