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# a, b and c are consecutive integers, in that order. If a > 1, is b odd

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Director
Joined: 02 Oct 2017
Posts: 729
a, b and c are consecutive integers, in that order. If a > 1, is b odd  [#permalink]

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04 Nov 2018, 02:47
1
1
00:00

Difficulty:

35% (medium)

Question Stats:

65% (01:15) correct 35% (01:19) wrong based on 52 sessions

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a, b and c are consecutive integers, in that order. If a > 1, is b odd ?

(1) a and b both are prime numbers

(2) c/a is an integer

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Intern
Joined: 01 Nov 2016
Posts: 7
Re: a, b and c are consecutive integers, in that order. If a > 1, is b odd  [#permalink]

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04 Nov 2018, 03:18
Given: a>1

Statement 1:
It imlies that a, b, c take the values 2, 3, 4. Since 2 and 3 are the only prime consecutive numbers.
Is b odd? Yes.
Hence Sufficient.

Statement 2:
c/a is an integer.
Values of a,b,c which satisfy the above condition:
2,3,4
I am unable to think of any other set satisfying the condition.
Is b odd? Yes.
Hence Sufficient.

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Concentration: Sustainability, Marketing
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Re: a, b and c are consecutive integers, in that order. If a > 1, is b odd  [#permalink]

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07 Mar 2019, 04:06
1
push12345 wrote:
a, b and c are consecutive integers, in that order. If a > 1, is b odd ?

(1) a and b both are prime numbers

(2) c/a is an integer

#1
a & b consective odd are only 2,3
sufficient
#2
c/a is an integer ; then both have to be even 2,4,3 sufficient
IMO D
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Re: a, b and c are consecutive integers, in that order. If a > 1, is b odd   [#permalink] 07 Mar 2019, 04:06
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