Odd/Even

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rarns: Newbie | Next Rank: 10 Posts; Posts: 7; Joined: Wed Jun 01, 2011 3:33 am; Thanked: 1 times

by rarns » Thu Jun 16, 2011 5:32 pm

What is the remainder when n is divided by 4?

1) n is the square of an odd integer

2) n is a multiple of 3

MGMAT answer is A. But, if n = 1 then the remainder is 4, whereas with any other odd integer the remainder is 1. Is this an oversight on the part of MGMAT or am I missing something?

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Source: Beat The GMAT — Data Sufficiency | Thu Jun 16, 2011 5:32 pm

sidvenki: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Sun Oct 10, 2010 4:38 am; Thanked: 1 times

by sidvenki » Thu Jun 16, 2011 5:59 pm

Hi Rarns,

When 1 is divided by 4, the remainder is 1 and quotient is 0.

Think you've done a silly mistake.

Sid

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amit2k9: Master | Next Rank: 500 Posts; Posts: 461; Joined: Tue May 10, 2011 9:09 amFollowed by: 3 members; Location: pune; Thanked: 36 times

by amit2k9 » Thu Jun 16, 2011 8:39 pm

1 remainder = 1 always. 1^2 = 1 3^2= 9 5^2 = 25. sufficient.

2 3*0 = 0 remainder = 0 ; 3*2 = 6 remainder = 2 and so on.

Hence A it is.

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