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Can you tell the minimum number of toffees boy had initially ?

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A boy has few toffees with him, then comes one of his friend and they decide to share them equally and they are able to divide them without any toffee remaining. Then one more friend comes and they divide the toffees in 3 equal parts, then one more friend comes, they are still able to divide the toffees in 4 equal parts, then comes one more friend, they are still able to divide them equally, similarly they are able to divide it equally in 5 and 6 equal parts but not when they are 7 and decide to divide equally they are left with one extra toffee.

Can you tell the minimum number of toffees boy had initially ?

posted May 13, 2014 by Vishal

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2 Solutions

+1 vote

120
120 % 2 == 0
120 % 3 == 0
120 % 4 == 0
120 % 5 == 0
120 % 6 == 0
120 % 7 == 1

solution May 13, 2014 by Muniprasad
0 votes

Ans is 120

120 is divisible by 2 (equally distribute 60 & remaining is zero)

120 is divisible by 3 (equally distribute 40 & remaining is zero)

120 is divisible by 4 (equally distribute 30 & remaining is zero)

120 is divisible by 5 (equally distribute 24 & remaining is zero)

120 is divisible by 6 (equally distribute 20 & remaining is zero)

119+1=119 is divisible by 7 (equally distribute 17) + (remaining is one)

solution Oct 20, 2015 by Jaikumar Bhatia



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