If n = 4p, where p is a prime number greater than 2, how : Quant Question Archive [LOCKED]
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# If n = 4p, where p is a prime number greater than 2, how

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If n = 4p, where p is a prime number greater than 2, how [#permalink]

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10 Dec 2005, 19:30
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If n = 4p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n?

a. 2
b. 3
c. 4
d. 6
e. 8
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10 Dec 2005, 19:32
My working:

Let p = 3

4(3) =12
Divisors of 12 = 1, 12, 2, 6, 3, 4
Even divisors = 12, 2, 6, 4

Try 5

4(5) = 20
Divisors = 1, 20, 2, 10, 4, 5
Even = 20, 2, 10, 4

I would select 4, choice C, but that is not the answer.

Anyone see my mistake?
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10 Dec 2005, 19:41
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10 Dec 2005, 20:51
4 seems like the correct answer..unless its asking for total positive factors only
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10 Dec 2005, 23:17
I get 4, or (C) as well.
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11 Dec 2005, 08:45
The OA said 3, must be a mistake.
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13 Dec 2005, 14:11
BTW, the OA in the 11th edition is indeed 4.
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14 Dec 2005, 03:39
I would suggest not using the real numbers for such questions.

Factors will be 1,n,p,2,4 and 2p. Among these positive odd numbers are n,2,4 and 2p.

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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

14 Dec 2005, 03:39
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