Integers remainder

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heshamelaziry: Legendary Member; Posts: 869; Joined: Wed Aug 26, 2009 3:49 pmFollowed by: 3 members; Location: California; Thanked: 13 times

by heshamelaziry » Fri Aug 28, 2009 10:34 am

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.

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Source: Beat The GMAT — Problem Solving | Fri Aug 28, 2009 10:34 am

bharathh: Master | Next Rank: 500 Posts; Posts: 159; Joined: Thu Aug 27, 2009 10:30 am; Thanked: 19 times

by bharathh » Fri Aug 28, 2009 11:03 am

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

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tohellandback: Legendary Member; Posts: 752; Joined: Sun May 17, 2009 11:04 pm; Location: Tokyo; Thanked: 81 times; GMAT Score:680

by tohellandback » Tue Sep 01, 2009 12:03 am

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

The powers of two are bloody impolite!!

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