When positive integer n is divided by 7, the remainder is 1. If n is less than 50, what is the value of n?
n =7x+1 and n <50. So, n = 8,15,22,29,36,43
1). When n is divided by 9, the remainder is 7 -
8 - when divided by 9, the remainder is 8
15 - when divided by 9, the remainder is 6
22 - when divided by 9, the remainder is 4
29 - when divided by 9, the remainder is 2
36 - when divided by 9, the remainder is 0
43 - when divided by 9, the remainder is 7 Sufficient !
2). When n is divided by 4, the remainder is 3
8 - when divided by 4, the remainder is 0
15 - when divided by 4, the remainder is 3
22 - when divided by 4, the remainder is 2
29 - when divided by 4, the remainder is 1
36 - when divided by 4, the remainder is 0
43 - when divided by 4, the remainder is 3 Insufficient !
IMO Option A
