IPMAT Rohtak (QA) PYQs

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

The height of nineteen people of comic book is in Arithmetic progression. The average height of them is 19 feet. If the tallest is 37 feet. Then what is the height of the shortest?

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