1. How many numbers are there from 300 to 700 which are divisible by 2, 3 and 7?
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By: anil on 05 May 2019 01.46 am
L.C.M.(2,3,7) = 42 => Numbers from 300 to 700 which are divisible by 42 are = 336,378,420,...,672 This is an AP with first term = $$a=336$$ and common difference = $$d=42$$ Let number of terms = $$n$$ => Last term = $$a+(n-1)d=672$$ => $$336+(n-1)42=672$$ => $$(n-1)42=672-336=336$$ => $$n-1=frac{336}{42}=8$$ => $$n=8+1=9$$ => Ans - (C)
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