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

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CEO
Joined: 15 Aug 2003
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you got 1 min..go! Let b be a positive integer and a = [#permalink]

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14 Sep 2003, 03:54
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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
Manager
Joined: 26 Dec 2003
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18 Jan 2004, 19:47
Got 24 too but spent nearly 2 min, praet and anand is there any short cut to do that in less than 1 min
Intern
Joined: 01 Dec 2003
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18 Jan 2004, 21:59
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.
Director
Joined: 28 Oct 2003
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18 Jan 2004, 22:04
24, indeed. Nice trick making the other choices work for 4 and 5.
18 Jan 2004, 22:04
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