Please explain this question 20. Is 5^k less than 1,000 ? (1) 5^k-1>3000 (2) 5^k-1=5^k-500 B

Can be answered using statement 2 alone 5^k -5^(k-1) = 500 By Law of Indices a^(m-n) = (a^m)/(a^n) 5^(k-1)(5 -1) = 500 4(5^(k-1)) = 500 Simplify to get value of k

I agree with Neo2000 that (2) is necessary and sufficient condiction to answer the quaestion. However stateembnt (1) can also provide sufficinet and necessary condiction to answer tha question because 5^(k-1) > 3000 means 5^k > 15000 > 1000, thus 5^k > 100. so the coreect answer to the quastion shoul be (D) rather than (B). Pl. correct my understanding if found erronious.

Hi, I agree with amitamit2020 ; Answer should be D Otherwise, check if expressions are as written in the original question and look at the source;

This is an OG question that has not been copied correctly (#131 in 11th edition). Should be: Is 5^k less than 1,000? (1) 5^(k+1) > 3,000 (2) 5^(k-1) = (5^k) - 500 As I just wrote it above, the OA is B.

Question 20, section 17 of "lots of DS questions" - The Beat The GMAT Forum

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Question 20, section 17 of "lots of DS questions"

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