Find integers E and F. (1) E^F=4 (2) F^E=1 : Quant Question Archive [LOCKED]
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# Find integers E and F. (1) E^F=4 (2) F^E=1

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Joined: 03 Feb 2003
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Find integers E and F. (1) E^F=4 (2) F^E=1 [#permalink]

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31 Aug 2003, 11:17
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Find integers E and F.

(1) E^F=4
(2) F^E=1
SVP
Joined: 03 Feb 2003
Posts: 1603
Followers: 8

Kudos [?]: 245 [0], given: 0

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05 Sep 2003, 09:09
Intern
Joined: 19 Aug 2003
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Location: Austin, TX
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05 Sep 2003, 13:45
1. E^F = 4
Possible solutions are (4,1) and (2,2). Statement 1 is not sufficient.

2. F^E = 1
Possible solutions are E=0, F=any integer or (1,1). Statement 2 not sufficient.

Combined the only solution is E=4, F=1. Correct choice is C.
SVP
Joined: 03 Feb 2003
Posts: 1603
Followers: 8

Kudos [?]: 245 [0], given: 0

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05 Sep 2003, 21:02
EssQ wrote:
1. E^F = 4
Possible solutions are (4,1) and (2,2). Statement 1 is not sufficient.

2. F^E = 1
Possible solutions are E=0, F=any integer or (1,1). Statement 2 not sufficient.

Combined the only solution is E=4, F=1. Correct choice is C.

(1) you missed (-2, 2)
(2) you missed (1, -1), (1, -2) and so on

Though, C is correct.
05 Sep 2003, 21:02
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