IPMAT Rohtak 2020 (QA) PYQs

The sum of third and ninth term of an A.P is 8. Find the sum of the first 11 terms of the progression.

Given $(A = 2^{65})$ and $(B = 2^{64} + 2^{63} + 2^{62} + ... + 2^0)$, which of the following is true?

If $\log 2, \log (2x - 1), \log (2x + 3)$ are in A.P, then $x$ is equal to ____