M4maths Previous Puzzles

24 Feb 2016 Possible value

A number when divided by 48 gives 47 as remainder and x as quotient, the same number when divided by 49 gives 8 as remainder and y as quotient. Minimum possible value of x will be

OPtion

1) 19
2) 24
3) 29
4) 35
5) 39
6) 45
7) 88
8) 94
9) 137
10)186

Solution

According to given condition
48x + 47 = z
49y + 8 = z
48x + 47 = 49y + 8
49y = 48x + 39
y = 48(x-y) + 39
y = 48k + 39
Minimum possible value of k = 0
y = 39
and k = 0
x = y
x = 39
Option 5)

Correct Option: 5 Best Solution (3)