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Interesting exponents problem from MGMAT

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by akahuja143 » Fri Apr 09, 2010 8:01 pm
If n is a non-negative integer such that 12^n is a divisor of 3,176,793, what is the value of n^12 - 12^n ?

A - 11
B - 1
C 0
D 1
E 11

This is based on very simple logic .. but I got it wrong.

anyone wanna try and solve...
Last edited by akahuja143 on Fri Apr 09, 2010 8:11 pm, edited 1 time in total.
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by liferocks » Fri Apr 09, 2010 8:06 pm
is the ans C i.e 0 as the number is odd only n=0 will satisfy?
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by thephoenix » Fri Apr 09, 2010 8:09 pm
the no. 3 176 793 is not div by 12 so n is 0
therefore the ans is 0
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by akahuja143 » Fri Apr 09, 2010 8:12 pm
Sorry Guys I made mistake while posting it is 12^n but your approach is right

OA is -1
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by pradeepkaushal9518 » Fri Apr 09, 2010 8:58 pm
12^n is not a divisor of 3,176 and 793 when n=1
12^n is a divior of the above nos when n=0 i.e 12^0=1

hence n^12-12^n
= n^0-12^o
= 0-1
= -1 will be the answer

so not 0
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by eaakbari » Mon Apr 12, 2010 6:53 am
Please give the OE
Whether you think you can or can't, you're right.
- Henry Ford
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by dxgamez » Mon Apr 12, 2010 11:24 pm
3176793 is a multiple of 3 and is odd. 12 is 2^2 x 3...

only way that 12^n is a divisor of 3176793 is when n=0.

0^12 - 12^0 = 0 - 1 = -1.

Ans is B...
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