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The integer a is even and the integer b is odd. For each of

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The integer a is even and the integer b is odd. For each of [#permalink] New post 23 May 2019, 01:01
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The integer a is even and the integer b is odd. For each of the following integers, indicate whether the integer is even or odd.

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#GREpracticequestion The integer a is even and the integer b is odd..png
#GREpracticequestion The integer a is even and the integer b is odd..png [ 2.2 KiB | Viewed 2618 times ]


[Reveal] Spoiler: OA
(a) even, (b) odd, (c) even, (d) even, (e) odd, (f) odd


Math Review
Question: 14
Page: 220
Difficulty: medium

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Re: The integer a is even and the integer b is odd. For each of [#permalink] New post 23 May 2019, 06:09
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Carcass wrote:
The integer a is even and the integer b is odd. For each of the following integers, indicate whether the integer is even or odd.

Attachment:
#GREpracticequestion The integer a is even and the integer b is odd..png


[Reveal] Spoiler: OA
(a) even, (b) odd, (c) even, (d) even, (e) odd, (f) odd


Math Review
Question: 14
Page: 220
Difficulty: medium


Some important rules:
#1. ODD +/- ODD = EVEN
#2. ODD +/- EVEN = ODD
#3. EVEN +/- EVEN = EVEN

#4. (ODD)(ODD) = ODD
#5. (ODD)(EVEN) = EVEN
#6. (EVEN)(EVEN) = EVEN



GIVEN: a is EVEN, and b is ODD.

(a) a + 2b = EVEN + 2(ODD) = EVEN + EVEN = EVEN

(b) 2a + b = 2(EVEN) + ODD = EVEN + ODD = ODD

(c) ab = (EVEN)(ODD) = EVEN

(d) a^b = (EVEN)^ODD = (EVEN)(EVEN)(EVEN)(EVEN).... (b times) = EVEN

(e) (a + b)² = (EVEN + ODD)² = (ODD)² = (ODD)(ODD) = ODD

(f) a² - b² = EVEN² - ODD² = (EVEN)(EVEN) - (ODD)(ODD) = EVEN - ODD = ODD

Cheers,
Brent
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Re: The integer a is even and the integer b is odd. For each of [#permalink] New post 09 May 2020, 00:33
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You can also take values
a is even then a could be 2
b is odd then b could be 3

put the values if you forget rules, you will get the same answers
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Re: The integer a is even and the integer b is odd. For each of   [#permalink] 09 May 2020, 00:33
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