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 . Atleast how many mangoes were there in the basket ?
Please tell the whole process .
Dear Student
n is a multiple of 7, and(1,2,3,4,5,6) 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 x 5 x 6 x K
(where K will ensure it’s a multiple of 7)
So n = 119*K, and 119 is divisible by 7, so K = 1 and n = 119
Regards
n is a multiple of 7, and(1,2,3,4,5,6) 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 x 5 x 6 x K
(where K will ensure it’s a multiple of 7)
So n = 119*K, and 119 is divisible by 7, so K = 1 and n = 119
Regards