# Quantitative Aptitude – A gentleman decided to treat a few children

## Slot – 1 – Quantitative Aptitude – A gentleman decided to treat a few children

Q. A gentleman decided to treat a few children in the following manner. He gives half of his total stock of toffees and one extra to the first child, and then the half of the remaining stock along with one extra to the second and continues giving away in this fashion. His total stock exhausts after he takes care of 5 children. How many toffees were there in his stock initially ?

Solutions:
start a reverse approach
0
Child5= 1+x/2 (he receives 1+ 2=3 so that the man exhaust the toffees )
Child4= 1+x/2 (he receives 1+3*2=7 so that the child 5 gets 3 toffees )
Child3= 1+x/2 (he receives 1+7*2=15 so that the child 4 gets 15 toffees )
Child2= 1+x/2 (he receives 1+15*2=31 so that the child 3 gets 31 toffees )
Child1= 1+x/2 (he receives 31*2=62 so that 62 toffees are left )

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