Answer the following questions:

Given the following data file: Student $($Student name, SID, Address, Course $...),$ suppose that:

Record size $=80$ bytes,

Block size $=2000$ bytes,

Total records $=10000$ records,

Index field size $=16$ bytes,

Pointer size $=4$ bytes.

Choice the correct answer from these alternatives: $(0\mathrm{.}5$ Mark for each$)$

a$.$ Find the binary search time required without indexing.

A$)7$ block accesses

B$)9$ block accesses

C$)11$ block accesses

D$)13$ block accesses

b$.$ Find the binary search time required with indexing.

A$)3$ block accesses

B$)4$ block accesses

C$)5$ block accesses

D$)6$ block accesses