ISRO CSE 2013 PYQ

Calculate the order of leaf (P_leaf) and non leaf (P) nodes of a B+ tree based on the information given below:
Search key field = 12 bytes
Record pointer = 10 bytes
Block pointer = 8 bytes
Block size = 1KB

The physical location of a record determined by a formula that transforms a file key into a record location is

The most simplified form of the Boolean function x(A, B, C, D) = $\Sigma (7, 8, 9, 10, 11, 12, 13, 14, 15) (expressed$ in sum of minterms) is?

How many programmable fuses are required in a PLA which takes 16 inputs and gives 8 outputs? It has to use 8 OR gates and 32 AND gates.

In a three stage counter, using RS flip flops what will be the value of the counter after giving 9 pulses to its input? Assume that the value of counter before giving any pulses is 1.