Stmt I
2 is not a factor of n
n=5 then (5-1) (5+1) / 24 remainder 0
n=3 (3-1)(3+1) / 24 remainder 6
2 different values
INSUFF
Stmt II
3 is not a factor of n
n=5 then (5-1) (5+1) / 24 remainder 0
n=3 (2-1)(2+1) / 24 remainder 3
2 different values
INSUFF
Stmt I and II
The minimum possible value for n=5. Also if 2 is not a factor of n then n must be odd
(n-1) = odd-1(odd) = even (odd-odd=even)
n+1 = odd+1(odd) = even (odd+odd=even)
Lets take n=5
(5-1) (5+1) /24 remainder 0
Any n values after this would be divisble by 24 since it will provide atleast THREE 2's and ONE 3 which is nothing but 24
24 = 2^3 * 3
The remainder will always be 0
SUFF
Choose C)
Remainders question (GMAT PREP)
This topic has expert replies
Source: Beat The GMAT — Problem Solving |
Clue 1 and CLue 2 independenty cannot say what could be the values of n.
Based on clues 1 and 2, we know that n should be odd and should not be divisible by 3. So possible values of n are 1,5,7,11,13 etc.
Subustitute any of the values of possible n, and the remainder is always zero.
So ans is C.
Based on clues 1 and 2, we know that n should be odd and should not be divisible by 3. So possible values of n are 1,5,7,11,13 etc.
Subustitute any of the values of possible n, and the remainder is always zero.
So ans is C.
