singhsa wrote:Is x > 10^10 ?
(1) x > 2^34
(2) x = 2^35
Is there a quick way to solve this ?
OA - D
Since we don't need to determine the exact value of x, we can approximate. Here's a quick way:
10^10 = (2*5)^10 = (2*2*2*1.2)^10 = (2^3)^10 * (1.2)^10 = (2^30)*6 = approximately.
So the question becomes: Is x > (2^30)*6?
1. 2^34 = (2*30)*(2^4) = (2^30)*16. (2^30)*16 > (2^30)*6. Sufficient.
2. Since we saw in statement 1 that 2^34 > (2^30)*6, we know that 2^35 > (2^30)*6. Sufficient.
The correct answer is D.
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