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If p is a positive odd integer, what is the remainder when p [#permalink ]

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26 Oct 2008, 05:51
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This topic is locked. If you want to discuss this question please re-post it in the respective forum. If p is a positive odd integer, what is the remainder when p is divided by 4 ? (1) When p is divided by 8, the remainder is 5. (2) p is the sum of the squares of two positive integers. Any solution? Thanks! Actually it seems a simple question, but I seem to be getting a different answer to the answer guide

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Re: DS: Remainder question [#permalink ]

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26 Oct 2008, 06:00

[quote="prince13"]If p is a positive odd integer, what is the remainder when p is divided by 4 ? (1) When p is divided by 8, the remainder is 5. (2) p is the sum of the squares of two positive integers. P = 8X+5....SUFF REMAINDER IS ALWAYS 1 p/4 = 8x/4 +5/4 FROM 2 INSUFF 1+9 = 10/4.........2 1+4 = 5/4............1 A

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Re: DS: Remainder question [#permalink ]

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26 Oct 2008, 06:18

yezz wrote:

prince13 wrote:

If p is a positive odd integer, what is the remainder when p is divided by 4 ? (1) When p is divided by 8, the remainder is 5. (2) p is the sum of the squares of two positive integers. P = 8X+5....SUFF REMAINDER IS ALWAYS 1 p/4 = 8x/4 +5/4 FROM 2 INSUFF 1+9 = 10/4.........2 1+4 = 5/4............1 A

I get the same answer as you. However, OA is D ... maybe OA is wrong

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Re: DS: Remainder question [#permalink ]

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26 Oct 2008, 07:06

[quote="yezz"][quote="prince13"]If p is a positive odd integer, what is the remainder when p is divided by 4 ?

(1) When p is divided by 8, the remainder is 5.

(2) p is the sum of the squares of two positive integers.

P = 8X+5....SUFF REMAINDER IS ALWAYS 1

p/4 = 8x/4 +5/4

FROM 2

SUFF

1+9 = 10/4.........2

1+49 = 50/4............2

D

iT WAS OUR MISTAKE ( THE QUESTIONS SAYS"Odd")

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Re: DS: Remainder question [#permalink ]

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26 Oct 2008, 07:13

D (1) Here the remainder is always 1

(2) if the two integers are 1 and 2, then 1²+2² = 5 --- 5/4 remainder is 1

if the two integers are 2 and 5 then 2²+5² = 29 ---- 20/4 remainder is 1

what is the source of this question ??

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Re: DS: Remainder question [#permalink ]

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26 Oct 2008, 08:38

yezz wrote:

iT WAS OUR MISTAKE ( THE QUESTIONS SAYS"Odd")

@yezz: Haha good point! Silly mistakes are still my downfall

@amitdgr: not sure of the original question source; a colleague who just did her GMATs gave me a list of practice questions to try.

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Re: DS: Remainder question [#permalink ]

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26 Oct 2008, 13:06

prince13 wrote:

If p is a positive odd integer, what is the remainder when p is divided by 4 ? (1) When p is divided by 8, the remainder is 5. (2) p is the sum of the squares of two positive integers. Any solution? Thanks! Actually it seems a simple question, but I seem to be getting a different answer to the answer guide

agree that statement 1 is suff but how is st.2 suff?

2:

p = 1^2+ 2^2 = 5. the reminder is 1.

p = 1^2+ 3^2 = 10. the reminder is 2.

so st 2 is not suff.

so should be A.

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Re: DS: Remainder question [#permalink ]

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26 Oct 2008, 14:37

Initially - A

Changed to - D

Mistake: P has to be odd

Last edited by

LiveStronger on 26 Oct 2008, 17:06, edited 1 time in total.

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Re: DS: Remainder question [#permalink ]

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26 Oct 2008, 18:40

GMAT TIGER wrote:

prince13 wrote:

If p is a positive odd integer, what is the remainder when p is divided by 4 ? (1) When p is divided by 8, the remainder is 5. (2) p is the sum of the squares of two positive integers. Any solution? Thanks! Actually it seems a simple question, but I seem to be getting a different answer to the answer guide

agree that statement 1 is suff but how is st.2 suff?

2:

p = 1^2+ 2^2 = 5. the reminder is 1.

p = 1^2+ 3^2 = 10. the reminder is 2.

so st 2 is not suff.

so should be A.

hmmmm......

Did not see that P is an odd integer.

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Re: DS: Remainder question [#permalink ]

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27 Oct 2008, 07:20

GMAT TIGER wrote:

Did not see that P is an odd integer.

It's sneakily tucked away in the question ... those writers are

good !

First 7 words:

"If p is a positive odd integer"
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Re: DS: Remainder question [#permalink ]

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27 Oct 2008, 18:06

prince13 wrote:

GMAT TIGER wrote:

Did not see that P is an odd integer.

It's sneakily tucked away in the question ... those writers are

good !

First 7 words:

"If p is a positive odd integer" We are also good (in being stupid

) cuz we make them good.

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Re: DS: Remainder question [#permalink ]

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27 Oct 2008, 23:10

this one is tricky....in actual exam i would have been tricked.....good one !

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Re: DS: Remainder question
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27 Oct 2008, 23:10