Question

From a basket of mangoes when counted in twos there was one- extra, counted in

threes there were two extra, counted in fours there were three extra, counted in fives

there were four extra, counted in sixes there were five extra. But counted in sevens

there were no extra. At least how many mangoes were there in the basket?​

Answer 1

Answer: 199

Explaination :

n is multiple of 7 and 1 short of a multiple of 3 or 4 or 5 or 6.

Division by 6 takes care of division by 3 so n+ 1 = 4×5×6×k

where k will ensure its multiple of 7

So n= 199× k and 119 is divisible

so k = 1 and n= 119

Hope it helps you friend..