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If k, m, and p are integers, is k – m – p odd?
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21 Feb 2020, 01:07
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Competition Mode Question If k, m, and p are integers, is k – m – p odd? (1) k and m are even and p is odd. (2) k, m, and p are consecutive integers (not necessarily in that order).
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Re: If k, m, and p are integers, is k – m – p odd?
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21 Feb 2020, 01:23
Quote: If k, m, and p are integers, is k – m – p odd?
(1) k and m are even and p is odd. (2) k, m, and p are consecutive integers. Question: Is k  m  p = Odd?For k  m  p to be ODD, either Case 1) Two of them should be even and one must be odd OR Case 2) All three of them should be oddStatement 1: k and m are even and p is odd.Case 1 applies hence answer to the question is YES SUFFICIENT Statement 2: k, m, and p are consecutive integersi.e. either two of them are even and one of them is odd then kmp = ODD OR two of them are Odd and one of them is even then kmp = EVEN hence answer to the question is YES/NO NOT SUFFICIENT Answer: Option A
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Re: If k, m, and p are integers, is k – m – p odd?
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21 Feb 2020, 01:47
If k, m, and p are integers, is k – m – p odd? (1) k and m are even and p is odd. It will be > Even  Even  Odd = 'Odd' always
Sufficient. A D / B C E (2) k, m, and p are consecutive integers. Let us take the examples starting with an odd (1, 2, 3) Odd  Even  Odd = Even Other example where we start with an Even (2, 3, 4) Even  Odd  Even = Odd Two different possibilities. Insufficient.
'A' is the winner
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Re: If k, m, and p are integers, is k – m – p odd?
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21 Feb 2020, 04:20
If k, m, and p are integers, is k – m – p odd?
(1) k and m are even and p is odd. (2) k, m, and p are consecutive integers.
i) Even  Even  Odd = Odd > Sufficient
ii) k, m and p are consecutive => Since we are not given which of them are odd or even we can not determine For eg. k=1, m = 2, p=3 => k(m+p) = 4 = Even k=2,m=3,p=4 => k(m+p) = 5 = Odd Not Sufficient
Answer  A



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Re: If k, m, and p are integers, is k – m – p odd?
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21 Feb 2020, 06:14
Quote: If k, m, and p are integers, is k – m – p odd?
(1) k and m are even and p is odd. (2) k, m, and p are consecutive integers. k,m,p=integers cases: kmp=odd ooo=eo=odd eeo=eo=odd (1) suficeeo=eo=odd (2) insuficeoe=oe=odd oeo=oo=even Ans (A)



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Re: If k, m, and p are integers, is k – m – p odd?
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21 Feb 2020, 09:12
If k, m, and p are integers, is k – m – p odd?
(1) k and m are even and p is odd. e.g. k=4, m=2, p=1, then k – m – p = 1 (odd). Try various combinations and we will find that k – m – p is always odd here. SUFFICIENT
(2) k, m, and p are consecutive integers (not necessarily in that order). e.g. k=5, m=4, p=3, then k – m – p = 2 (even). e.g. k=4, m=3, p=2, then k – m – p = 1 (odd). NOT SUFFICIENT
FINAL ANSWER IS (A)



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Re: If k, m, and p are integers, is k – m – p odd?
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21 Feb 2020, 09:17
Statement 1: given : k,m: even & p: odd
Kmp = Even  Even  Odd = Odd ; sufficient
Statement 2: if p<m<k
case I: p is odd kmp = Odd  Even Odd = Even
case II: p is even kmp = Even  Odd  Even = Odd
result will change with even / odd nature of first number. Not sufficient.
Ans: A



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Re: If k, m, and p are integers, is k – m – p odd?
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21 Feb 2020, 11:22
If k, m, and p are integers, is k – m – p odd?
(1) k and m are even and p is odd. (2) k, m, and p are consecutive integers (not necessarily in that order).
From statement (1), k and m are even and p is odd. Even – Even – Odd = Even – Odd = Odd, Therefore, Sufficient.
From statement (2), when, k =1, m = 2, p = 3 Odd – Even – Odd = Odd – Odd –Even = Even – Even = Even
When, k = 2, m =3, p = 4 Even – Odd – Even = Even – Even –Odd = Even – Odd = Odd Therefore, Insufficient. Answer: A



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Re: If k, m, and p are integers, is k – m – p odd?
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21 Feb 2020, 12:38
If k, m, and p are integers, is k – m – p odd?
(Statement1): k and m are even and p is odd. —> Even —Even —Odd = Odd Sufficient
(Statement2): k, m, and p are consecutive integers (not necessarily in that order). —> k, m, p —Odd, Even, Odd Odd —Even —Odd = Even (No)
—> k,m,p — Even, Odd, Even Even —Odd —Even = Odd (Yes) Insufficient
The answer is A.
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Re: If k, m, and p are integers, is k – m – p odd?
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21 Feb 2020, 21:13
Only possible case is OEE
(1) k and m are even and p is odd...... SUFFICIENT 001=1 102+5=7 823=3
Only possible result is odd
(2) k, m, and p are consecutive integers (not necessarily in that order).....
Below are the possible cases
OEO.....results in odd EOE..... results in even
So INSUFFICIENT
OA:A
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Re: If k, m, and p are integers, is k – m – p odd?
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22 Feb 2020, 05:30
#1 k and m are even and p is odd. e(e+o) ; eo ; odd sufficient ( always) #2 k, m, and p are consecutive integers (not necessarily in that order). we can have k,m,p as o,e,o and e,o,e for o,e,o ; o(e+o) ; oo ; even for e,o,e; e(o+e) ; eo ; odd insufficient IMO A ; sufficient If k, m, and p are integers, is k – m – p odd?
(1) k and m are even and p is odd. (2) k, m, and p are consecutive integers (not necessarily in that order).




Re: If k, m, and p are integers, is k – m – p odd?
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22 Feb 2020, 05:30




