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

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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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New post 01 Nov 2016, 03:43
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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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New post 01 Nov 2016, 05:05
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

Answer Option D
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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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New post 01 Nov 2016, 06:36
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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New post 02 Nov 2016, 04:59
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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New post 13 Apr 2017, 00:13
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, 00:13
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