Integers remainder

[heshamelaziry]

WHEN THE POSITIVE INTEGER N IS DIVIDED BY 25, THE REMAINDER IS 13. WHAT IS THE THE VALUE OF N?

1) N < 100
2) WHEN N IS DIVIDED BY 20, THE REMAINDER IS 3.

[bharathh]

Ans C

Statement I

13,38,63,88 all meet the conditions ... So insufficient

Statement II

63 meets the condition from above ... but who knows how many more numbers in the equation 25x + 13 where x >= 0 give a reminder of 3

So insufficient

However if n < 100 we know that only 63 meets all the given conditions. Using both I and II we know the value of N

Thus C

[tohellandback]

IMO C
1)numbers 13,38,63,88 are possible
NOT SUFF

2) all numbers 63+ 100n are possible where n>=0
NOT SUFF
when combined
only 63 is possible
SUFF