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you got 1 min..go! Let b be a positive integer and a =

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CEO
CEO
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Joined: 15 Aug 2003
Posts: 3454

Kudos [?]: 919 [0], given: 781

you got 1 min..go! Let b be a positive integer and a = [#permalink]

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New post 14 Sep 2003, 04:54
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A
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D
E

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you got 1 min..go!

Let b be a positive integer and a = b^2 тАУ b. If b ≥ 4, then a^2 тАУ 2a
is divisible by:

a) 15
b) 20
c) 24
d) None of these

Kudos [?]: 919 [0], given: 781

Manager
Manager
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Joined: 26 Dec 2003
Posts: 227

Kudos [?]: 3 [0], given: 0

Location: India
 [#permalink]

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New post 18 Jan 2004, 20:47
Got 24 too but spent nearly 2 min, praet and anand is there any short cut to do that in less than 1 min

Kudos [?]: 3 [0], given: 0

Intern
Intern
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Joined: 01 Dec 2003
Posts: 35

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Location: infront of my LCD
 [#permalink]

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New post 18 Jan 2004, 22:59
a^2 тАУ 2a = a(a-2) = (b^2 - b)(b^2 - b - 2) = b(b-1)(b+1)(b-2)

so if b=4, then a^2 -2a = 4*3*5*2

I get all of them.

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Director
Director
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Joined: 28 Oct 2003
Posts: 501

Kudos [?]: 34 [0], given: 0

Location: 55405
 [#permalink]

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New post 18 Jan 2004, 23:04
24, indeed. Nice trick making the other choices work for 4 and 5.

Kudos [?]: 34 [0], given: 0

  [#permalink] 18 Jan 2004, 23:04
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you got 1 min..go! Let b be a positive integer and a =

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