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# If a and b are odd integers which of the following must be an even int

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Math Expert
Joined: 02 Sep 2009
Posts: 46207
If a and b are odd integers which of the following must be an even int [#permalink]

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01 Nov 2016, 04:43
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Difficulty:

5% (low)

Question Stats:

92% (00:36) correct 8% (00:50) wrong based on 80 sessions

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If a and b are odd integers which of the following must be an even integer?

A. a/b
B. ab
C. (ab)^2
D. ab + b
E. (a + b)/b

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Joined: 08 Jul 2010
Posts: 2114
Location: India
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Re: If a and b are odd integers which of the following must be an even int [#permalink]

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01 Nov 2016, 06:05
Bunuel wrote:
If a and b are odd integers which of the following must be an even integer?

A. a/b
B. ab
C. (ab)^2
D. ab + b
E. (a + b)/b

Checking Options:

A. a/b Odd/Odd is never Even hence Incorrect Option
B. ab Odd*Odd is odd and never Even hence Incorrect Option
C. (ab)^2 Odd*Odd is Odd and the square of Odd also is odd hence Incorrect Option
D. ab + b Odd*Odd+Odd = Odd+Odd = Even hence Correct Option
E. (a + b)/b

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Re: If a and b are odd integers which of the following must be an even int [#permalink]

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01 Nov 2016, 07:36
Bunuel wrote:
If a and b are odd integers which of the following must be an even integer?

A. a/b
B. ab
C. (ab)^2
D. ab + b
E. (a + b)/b

Certainly (D)

$$ab + b = b ( a + 1 )$$

Sine both a & b are ODD , we can say ( a + 1 ) is EVEN as ODD + 1 = EVEN

Hence there is no doubt that the OA must be (D)
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If a and b are odd integers which of the following must be an even int [#permalink]

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02 Nov 2016, 05:59
Bunuel wrote:
If a and b are odd integers which of the following must be an even integer?

A. a/b
B. ab
C. (ab)^2
D. ab + b
E. (a + b)/b

IMO D
A. a/b odd/odd=odd
B. ab odd*odd=odd
C. (ab)^2 (odd*odd)^2=odd
D. ab + b odd+odd=even
E. (a + b)/b even/odd=fraction or even
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Re: If a and b are odd integers which of the following must be an even int [#permalink]

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13 Apr 2017, 01:13
Option D

a,b are Odd integers. Odd: O & Even: E

a) O/O = O
b) O*O = O
c) (O*O)^2 = O
d) O*O + O = O + O = E
e) (O + O)/O = E/O = E or Fraction
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Re: If a and b are odd integers which of the following must be an even int   [#permalink] 13 Apr 2017, 01:13
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