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Math Expert V
Joined: 02 Aug 2009
Posts: 7754
Is ab+c an odd integer, if a, b and c are positive integers? (1) c is  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 66% (01:20) correct 34% (01:25) wrong based on 79 sessions

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Is ab+c an odd integer, if a, b and c are positive integers?

(1) c is odd.
(2) Only one of the integers is even

New question

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VP  D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1032
WE: Supply Chain Management (Energy and Utilities)
Re: Is ab+c an odd integer, if a, b and c are positive integers? (1) c is  [#permalink]

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1
chetan2u wrote:
Is ab+c an odd integer, if a, b and c are positive integers?

(1) c is odd.
(2) Only one of the integers is even

New question

Given, a,b, and c are positive integers.
Question stem:-Is ab+c an odd integer?
st1:- c is odd

So, when ab=Even , ab+c=Even+odd=Odd
but, when ab=Odd, ab+c=Odd+odd=Even

So, insufficient.

st2:-Only one of the integers is even
when a=even & b,c=odd; ab+c=even+odd=odd
when b=even & a,c=odd; ab+c=even+odd=odd
when c=even & a,b=odd; ab+c=odd+even=odd
So, sufficient.

Ans. (B)
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PKN

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Re: Is ab+c an odd integer, if a, b and c are positive integers? (1) c is  [#permalink]

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chetan2u wrote:
Is ab+c an odd integer, if a, b and c are positive integers?

(1) c is odd.
(2) Only one of the integers is even

New question

a,b,c > 0

Is (ab + c) - odd ?

If ab - odd & c - even, then (ab + c) - odd
If ab - even & c - odd, then (ab + c) - odd

If ab - odd, then a - odd & b - odd
If ab - even, then a or b or both - even

Statement 1: c is odd

ab can be odd or even & hence (ab + c) can be even or odd.

Statement 1 alone is Not Sufficient.

Statement 2: Only one of a, b, c is even

If c - even, then ab - odd, hence (ab + c) - odd
If b - even, then ab - even & c - odd, hence (ab + c) - odd
If a - even, then ab - even & c - odd, hence (ab + c) - odd

Statement 2 is Sufficient.

Answer B.

Thanks,
GyM
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Re: Is ab+c an odd integer, if a, b and c are positive integers? (1) c is  [#permalink]

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1. Not sufficient. We do not know anything about a and b

2. a or b even - even + odd = odd
C even - odd + even = odd.
Sufficient

Answer (B)

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VP  D
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WE: Supply Chain Management (Energy and Utilities)
Re: Is ab+c an odd integer, if a, b and c are positive integers? (1) c is  [#permalink]

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chetan2u wrote:
Is ab+c an odd integer, if a, b and c are positive integers?

(1) c is odd.
(2) Only one of the integers is even

New question

Hi chetan2u,
Kindly provide the OA. It still displays a question mark(?) in my error log.

Thanking you.
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PKN

Rise above the storm, you will find the sunshine
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Joined: 31 Oct 2013
Posts: 1429
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: Is ab+c an odd integer, if a, b and c are positive integers? (1) c is  [#permalink]

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chetan2u wrote:
Is ab+c an odd integer, if a, b and c are positive integers?

(1) c is odd.
(2) Only one of the integers is even

New question

probable combination :

a = odd
b = odd
c = even

or

a = odd / even
b = odd / even

c = odd.

Note: odd + even = odd

Statement 1 : c is odd. C could be odd . In this case ab has to be even. No information about a or b. NOT sufficient.

Statement 2 : Among the 3 integers 1 is even. It means rest of the 2 are odd. It can be calculated as follows:

If a = even , ab is even. C is odd. So, ab + c = odd.

If c = even , ab is odd. Even + odd = odd.

Sufficient.

Thus the best answer is B. Re: Is ab+c an odd integer, if a, b and c are positive integers? (1) c is   [#permalink] 07 Aug 2018, 14:48
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