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If p is a positive odd integer, what is the remainder when p [#permalink]
 26 Oct 2008, 05:51
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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]
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]
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]
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]
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]
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]
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]
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]
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]
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]
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]
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
[#permalink]
27 Oct 2008, 23:10
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