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161) What is the value of K

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Source: — Data Sufficiency |
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by liferocks » Thu May 13, 2010 8:37 pm
2^-2k < 16
or k<64

From 1 ..nothing can be concluded
From 2
again..k-12 can be anything like 2,3,5,7..47..not sufficient

combining..
k-12 can be 3,5,7..47....not sufficient

Ans option E
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by ansumania » Fri May 14, 2010 8:11 pm
OA pl.........
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by ern5231 » Sun May 16, 2010 11:45 pm
I think there has been a mistake in understanding the question. i have edited it. It should be clear now
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by mj78ind » Mon May 17, 2010 12:40 am
Upon solving the inequality we get, -2k > 4 for the inequality 2^(-2k) < 2^4 to hold.

Hence k > -2,

1 says, k-12 is odd, k can be 23 or -9. In former 2^(-2k) is >16 and in the latter it is not. Hence, 1 not sufficient.

2 says, k-12 is prime. The smallest prime is 2 hence, k>=14, hence 2 alone is sufficient.

Hence answer is B.
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