# Can you calculate the minimum number of apples that were present in the basket ?

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when counted in twos, there was one extra
when counted in threes, there were two extra when counted in fours, there were three extra
when counted in fives, there were four extra
when counted in sixes, there were five extra.

However, if the apples were counted in sevens, no extra apple was left.

Can you calculate the minimum number of apples that were present in the basket ?

posted Feb 2, 2015

+1 vote

### (ANSWER minimum number = 119)

Use MS Office Excel
in Column A input A1=1, A2=2 ...... to A1000=1000
In cell B1 input the following formula:
=AND((MOD(A1,2)=1),(MOD(A1,3)=2),MOD(A1,4)=3,MOD(A1,5)=4,MOD(A1,6)=5,MOD(A1,7)=0)
copy the formula to B2 ..... B1000
Find which of the results is/are TRUE
Between 1 to 1000 we find three results are true which are 119, 539 and 959

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