Hi All,
Since the answers to this question are numbers, we can use them to our advantage and TEST THE ANSWERS.
We're told that N has to be an INTEGER and we want to make N as LARGE as possible so that 1/(2^N) > .01
Since this inequality uses a fraction on one side and a decimal on the other, I'm going to convert the decimal to a fraction. This gives us....
1/(2^N) > 1/100
We want to make N as LARGE as possible while still maintaining the inequality. This means that we have to make 2^N as BIG as possible BUT it still has to be less than 100.
One of the 5 answer choices MUST be correct, so let's TEST THE ANSWERS....
If N = 5, 2^5 = 32 1/32 > 1/100
If N = 6, 2^6 = 64 1/64 > 1/100
If N = 7, 2^7 = 128 1/128 is NOT > 1/100
So the BIGGEST that N could be is 6.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
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Contact Rich at: Rich.C@empowergmat.comThe Course Used By GMAT Club Moderators To Earn 750+ souvik101990 Score: 760 Q50 V42 ★★★★★ ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★