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msand
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If r and t are positive integers, is rt even? Updated on: 04 Jul 2013, 06:48
Originally posted by msand on 31 Jan 2010, 14:28.
Last edited by Bunuel on 04 Jul 2013, 06:48, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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78% (01:04) correct 22% (01:12) wrong based on 380 sessions

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If r and t are positive integers, is rt even?

(1) r + t is odd
(2) r^t is odd
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A
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If r and t are positive integers, is rt even? 31 Jan 2010, 14:53
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If r and t are positive integers, is rt even?

(1) r + t is odd. Either r = odd and t = even OR r = even and t = odd. In both cases rt = even. Sufficient.

(2) r^t is odd --> r = odd and t = any. rt either even or odd. Not sufficient.

Answer: A.
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If r and t are positive integers, is rt even? 02 Feb 2010, 10:13
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It should be A only, same explanation above.
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If r and t are positive integers, is rt even? 12 Feb 2010, 15:47
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A

1. One of r,t is even -- so sufficient
2. r is odd, no information on t -- insufficient
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If r and t are positive integers, is rt even? 14 Feb 2010, 23:28
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r and t are positive integers, is rt even?
a. r + t is odd
b. r^t is odd



a. if r+t is odd then at least either r or t should be even so if any one of the 2 numbers is even then their product should be even

so choice a is sufficient

b. if r and t both are odd then rt is odd
if r is even and t is odd then rt is even

so choice b is insufficient

so my choice is A
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If r and t are positive integers, is rt even? 04 Jul 2013, 06:40
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Statement

1 is A+B = odd >> so one has to be even the other odd >> sufficient!

2 \(R^T\)= odd

Take examples

\(3^2\) = 9 >> \(3*2\) = 6 Answer is yes

\(3^1\) = 1 >> \(3*1\) = 3 Answer is no

Insufficient!
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If r and t are positive integers, is rt even? 10 Mar 2022, 07:48
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Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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