1
GATE CSE 2023
Numerical
+2
-0

An 8-way set associative cache of size 64 KB (1 KB = 1024 bytes) is used in a system with 32-bit address. The address is sub-divided into TAG, INDEX, and BLOCK OFFSET.

The number of bits in the TAG is __________.

Your input ____
2
GATE CSE 2023
MCQ (Single Correct Answer)
+1
-0.33

Which one of the following sequences when stored in an array at locations $$A[1],....,A[10]$$ forms a max-heap?

A
$$23,17,10,6,13,14,1,5,7,12$$
B
$$23,17,14,7,13,10,1,5,6,12$$
C
$$23,17,14,6,13,10,1,5,7,15$$
D
$$23,14,17,1,10,13,16,12,7,5$$
3
GATE CSE 2023
MCQ (Single Correct Answer)
+1
-0.33

Let SLLdel be a function that deletes a node in a singly-linked list given a pointer to the node and a pointer to the head of the list. Similarly, let DLLdel be another function that deletes a node in a doubly-linked list given a pointer to the node and a pointer to the head of the list.

Let $$n$$ denote the number of nodes in each of the linked lists. Which one of the following choices is TRUE about the worst-case time complexity of SLLdel and DLLdel?

A
SLLdel is $$O(1)$$ and DLLdel is $$O(n)$$
B
Both SLLdel and DLLdel are $$O(\log(n))$$
C
Both SLLdel and DLLdel are $$O(1)$$
D
SLLdel is $$O(n)$$ and DLLdel is $$O(1)$$
4
GATE CSE 2023
MCQ (Single Correct Answer)
+1
-0.33

An algorithm has to store several keys generated by an adversary in a hash table. The adversary is malicious who tries to maximize the number of collisions. Let $$k$$ be the number of keys, $$m$$ be the number of slots in the hash table, and $$k > m$$. Which one of the following is the best hashing strategy to counteract the adversary?

A
Division method, i.e., use the hash function $$h(k)=k$$ mod $$m$$.
B
Multiplication method, i.e., use the has function $$h(k) = \left\lfloor {m(kA - \left\lfloor {kA} \right\rfloor )} \right\rfloor $$, where $$A$$ is a carefully chosen constant.
C
Universal hashing method.
D
If $$k$$ is a prime number, use Division method. Otherwise, use Multiplication method.
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12